%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG261^2 : 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.4K3ks7KFlz true
% Computer : n027.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 0.63s 0.91s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 31 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 23 equ; 8 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 205 ( 22 ~; 0 |; 0 &; 156 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 10 con; 0-4 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 63 ( 37 ^; 26 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(subst_type,type,
subst: $tType ).
thf(term_type,type,
term: $tType ).
thf(hoasap_type,type,
hoasap: subst > term > subst > term > term ).
thf(id_type,type,
id: subst ).
thf(axvarid_type,type,
axvarid: $o ).
thf('#sk1_type',type,
'#sk1': term ).
thf(apnotvar_type,type,
apnotvar: $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf('#sk2_type',type,
'#sk2': term ).
thf(ap_type,type,
ap: term > term > term ).
thf(hoasapnotvar_type,type,
hoasapnotvar: $o ).
thf(var_type,type,
var: term > $o ).
thf(hoasapnotvar_lthm_type,type,
hoasapnotvar_lthm: $o ).
thf(hoasvar_type,type,
hoasvar: subst > term > subst > $o ).
thf(hoasapnotvar_lthm,axiom,
( hoasapnotvar_lthm
= ( axvarid
=> ( apnotvar
=> hoasapnotvar ) ) ) ).
thf('0',plain,
( hoasapnotvar_lthm
= ( axvarid
=> ( apnotvar
=> hoasapnotvar ) ) ),
define([status(thm)]) ).
thf(hoasapnotvar,axiom,
( hoasapnotvar
= ( ! [A: term,B: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) ) ).
thf('1',plain,
( hoasapnotvar
= ( ! [X4: term,X6: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ X4 @ id @ X6 ) @ 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(hoasap,axiom,
( hoasap
= ( ^ [M: subst,A: term,N: subst,B: term] : ( ap @ ( sub @ A @ N ) @ B ) ) ) ).
thf('4',plain,
( hoasap
= ( ^ [M: subst,A: term,N: subst,B: term] : ( ap @ ( sub @ A @ N ) @ B ) ) ),
inference(simplify_rw_rule,[status(thm)],[hoasap]) ).
thf('5',plain,
( hoasap
= ( ^ [V_1: subst,V_2: term,V_3: subst,V_4: term] : ( ap @ ( sub @ V_2 @ V_3 ) @ V_4 ) ) ),
define([status(thm)]) ).
thf(apnotvar,axiom,
( apnotvar
= ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) ) ) ).
thf('6',plain,
( apnotvar
= ( ! [X4: term,X6: term] :
~ ( var @ ( ap @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(axvarid,axiom,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ) ).
thf('7',plain,
( axvarid
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
hoasapnotvar_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term,X8: term] :
~ ( var @ ( ap @ X6 @ X8 ) )
=> ! [X10: term,X12: term] :
~ ( var @ ( sub @ ( ap @ ( sub @ X10 @ id ) @ X12 ) @ id ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term,X8: term] :
~ ( var @ ( ap @ X6 @ X8 ) )
=> ! [X10: term,X12: term] :
~ ( var @ ( sub @ ( ap @ ( sub @ X10 @ id ) @ X12 ) @ id ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] : ( (~) @ ( var @ ( ap @ Y0 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] : ( (~) @ ( var @ ( sub @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] : ( (~) @ ( var @ ( ap @ Y0 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] : ( (~) @ ( var @ ( sub @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] : ( (~) @ ( var @ ( sub @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: term] : ( (~) @ ( var @ ( sub @ ( ap @ ( sub @ '#sk1' @ id ) @ Y0 ) @ id ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
var @ ( sub @ ( ap @ ( sub @ '#sk1' @ id ) @ '#sk2' ) @ id ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6_001,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
var @ ( ap @ '#sk1' @ '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] : ( (~) @ ( var @ ( ap @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: term] :
( !!
@ ^ [Y0: term] : ( (~) @ ( var @ ( ap @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: term,X4: term] :
~ ( var @ ( ap @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG261^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4K3ks7KFlz true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:04:53 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
% 0.57/0.66 % Total configuration time : 828
% 0.57/0.66 % Estimated wc time : 1656
% 0.57/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.85 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.60/0.87 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.60/0.87 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.63/0.91 % Solved by lams/20_acsne_simpl.sh.
% 0.63/0.91 % done 2 iterations in 0.070s
% 0.63/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.91 % SZS output start Refutation
% See solution above
% 0.63/0.91
% 0.63/0.91
% 0.63/0.91 % Terminating...
% 2.33/0.98 % Runner terminated.
% 2.33/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------