%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG259^2 : 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.2DQCQJXIhX true
% Computer : n008.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 04:28:28 PM UTC 2025
% Result : Theorem 0.56s 0.82s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 40 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 297 ( 27 ~; 0 |; 0 &; 229 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 10 con; 0-4 aty)
% ( 29 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 96 ( 51 ^; 45 !; 0 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(lam_type,type,
lam: term > term ).
thf(lamnotap_type,type,
lamnotap: $o ).
thf(hoaslamnotap_lthm_type,type,
hoaslamnotap_lthm: $o ).
thf('#sk2_type',type,
'#sk2': term ).
thf(hoasap_type,type,
hoasap: subst > term > subst > term > term ).
thf(one_type,type,
one: term ).
thf(id_type,type,
id: subst ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(hoaslamnotap_type,type,
hoaslamnotap: $o ).
thf(sh_type,type,
sh: subst ).
thf('#sk1_type',type,
'#sk1': subst > term > term ).
thf('#sk3_type',type,
'#sk3': term ).
thf(sub_type,type,
sub: term > subst > term ).
thf(ap_type,type,
ap: term > term > term ).
thf(hoaslam_type,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(hoaslamnotap_lthm,axiom,
( hoaslamnotap_lthm
= ( lamnotap
=> hoaslamnotap ) ) ).
thf('0',plain,
( hoaslamnotap_lthm
= ( lamnotap
=> hoaslamnotap ) ),
define([status(thm)]) ).
thf(hoaslamnotap,axiom,
( hoaslamnotap
= ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ! [A: term,B: term] :
( ( hoaslam @ id
@ ^ [M: subst,C: term] : ( F @ M @ C ) )
!= ( hoasap @ id @ A @ id @ B ) ) ) ) ) ).
thf('1',plain,
( hoaslamnotap
= ( ! [X4: subst > term > term] :
( ! [X6: subst,X8: term,X10: subst] :
( ( sub @ ( X4 @ X6 @ X8 ) @ X10 )
= ( X4 @ ( comp @ X6 @ X10 ) @ ( sub @ X8 @ X10 ) ) )
=> ! [X12: term,X14: term] :
( ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X4 @ V_1 @ V_2 ) )
!= ( hoasap @ id @ X12 @ id @ X14 ) ) ) ) ),
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(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(lamnotap,axiom,
( lamnotap
= ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) ) ) ).
thf('6',plain,
( lamnotap
= ( ! [X4: term,X6: term,X8: term] :
( ( lam @ X4 )
!= ( ap @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
hoaslamnotap_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term,X6: term,X8: term] :
( ( lam @ X4 )
!= ( ap @ X6 @ X8 ) )
=> ! [X10: subst > term > term] :
( ! [X12: subst,X14: term,X16: subst] :
( ( sub @ ( X10 @ X12 @ X14 ) @ X16 )
= ( X10 @ ( comp @ X12 @ X16 ) @ ( sub @ X14 @ X16 ) ) )
=> ! [X18: term,X20: term] :
( ( lam @ ( X10 @ sh @ one ) )
!= ( ap @ ( sub @ X18 @ id ) @ X20 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term,X6: term,X8: term] :
( ( lam @ X4 )
!= ( ap @ X6 @ X8 ) )
=> ! [X10: subst > term > term] :
( ! [X12: subst,X14: term,X16: subst] :
( ( sub @ ( X10 @ X12 @ X14 ) @ X16 )
= ( X10 @ ( comp @ X12 @ X16 ) @ ( sub @ X14 @ X16 ) ) )
=> ! [X18: term,X20: term] :
( ( lam @ ( X10 @ sh @ one ) )
!= ( ap @ ( sub @ X18 @ id ) @ X20 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y0: subst > term > term] :
( ( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( lam @ ( Y0 @ sh @ one ) )
!= ( ap @ ( sub @ Y1 @ id ) @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: subst > term > term] :
( ( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( lam @ ( Y0 @ sh @ one ) )
!= ( ap @ ( sub @ Y1 @ id ) @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ ( comp @ Y0 @ Y2 ) @ ( sub @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( lam @ ( '#sk1' @ sh @ one ) )
!= ( ap @ ( sub @ Y0 @ id ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( lam @ ( '#sk1' @ sh @ one ) )
!= ( ap @ ( sub @ Y0 @ id ) @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
~ ( !!
@ ^ [Y0: term] :
( ( lam @ ( '#sk1' @ sh @ one ) )
!= ( ap @ ( sub @ '#sk2' @ id ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
~ ( ( ( lam @ ( '#sk1' @ sh @ one ) )
!= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
( ( lam @ ( '#sk1' @ sh @ one ) )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk3' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X2: term] :
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( lam @ X2 )
!= ( ap @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: term,X4: term] :
( !!
@ ^ [Y0: term] :
( ( lam @ X2 )
!= ( ap @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: term,X4: term,X6: term] :
( ( lam @ X2 )
!= ( ap @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: term,X4: term,X6: term] :
( ( lam @ X2 )
!= ( ap @ X4 @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl37,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG259^2 : 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.2DQCQJXIhX true
% 0.14/0.35 % Computer : n008.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 17:01:08 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
% 0.14/0.36 % Running in HO mode
% 0.53/0.68 % Total configuration time : 828
% 0.53/0.68 % Estimated wc time : 1656
% 0.53/0.68 % 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
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.56/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.56/0.82 % Solved by lams/15_e_short1.sh.
% 0.56/0.82 % done 3 iterations in 0.044s
% 0.56/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.82 % SZS output start Refutation
% See solution above
% 0.56/0.82
% 0.56/0.82
% 0.56/0.82 % Terminating...
% 1.96/0.87 % Runner terminated.
% 1.96/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------