%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG257^2 : 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.JzsbrzARaj true
% Computer : n018.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 1.67s 1.12s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 60 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 258 ( 12 ~; 3 |; 0 &; 190 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 10 con; 0-4 aty)
% ( 28 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 92 ( 40 ^; 52 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf('#sk3_type',type,
'#sk3': term ).
thf(hoasap_type,type,
hoasap: subst > term > subst > term > term ).
thf(id_type,type,
id: subst ).
thf('#sk1_type',type,
'#sk1': term ).
thf('#sk2_type',type,
'#sk2': term ).
thf(apinj2_type,type,
apinj2: $o ).
thf(hoasapinj2_lthm_type,type,
hoasapinj2_lthm: $o ).
thf('#sk4_type',type,
'#sk4': term ).
thf(sub_type,type,
sub: term > subst > term ).
thf(ap_type,type,
ap: term > term > term ).
thf(hoasapinj2_type,type,
hoasapinj2: $o ).
thf(hoasapinj2_lthm,axiom,
( hoasapinj2_lthm
= ( apinj2
=> hoasapinj2 ) ) ).
thf('0',plain,
( hoasapinj2_lthm
= ( apinj2
=> hoasapinj2 ) ),
define([status(thm)]) ).
thf(hoasapinj2,axiom,
( hoasapinj2
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( hoasap @ id @ A @ id @ C )
= ( hoasap @ id @ B @ id @ D ) )
=> ( C = D ) ) ) ) ).
thf('1',plain,
( hoasapinj2
= ( ! [X4: term,X6: term,X8: term,X10: term] :
( ( ( hoasap @ id @ X4 @ id @ X8 )
= ( hoasap @ id @ X6 @ id @ X10 ) )
=> ( X8 = X10 ) ) ) ),
define([status(thm)]) ).
thf(hoasap,axiom,
( hoasap
= ( ^ [M: subst,A: term,N: subst,B: term] : ( ap @ ( sub @ A @ N ) @ B ) ) ) ).
thf('2',plain,
( hoasap
= ( ^ [M: subst,A: term,N: subst,B: term] : ( ap @ ( sub @ A @ N ) @ B ) ) ),
inference(simplify_rw_rule,[status(thm)],[hoasap]) ).
thf('3',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(apinj2,axiom,
( apinj2
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( C = D ) ) ) ) ).
thf('4',plain,
( apinj2
= ( ! [X4: term,X6: term,X8: term,X10: term] :
( ( ( ap @ X4 @ X8 )
= ( ap @ X6 @ X10 ) )
=> ( X8 = X10 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
hoasapinj2_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term,X6: term,X8: term,X10: term] :
( ( ( ap @ X4 @ X8 )
= ( ap @ X6 @ X10 ) )
=> ( X8 = X10 ) )
=> ! [X12: term,X14: term,X16: term,X18: term] :
( ( ( ap @ ( sub @ X12 @ id ) @ X16 )
= ( ap @ ( sub @ X14 @ id ) @ X18 ) )
=> ( X16 = X18 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term,X6: term,X8: term,X10: term] :
( ( ( ap @ X4 @ X8 )
= ( ap @ X6 @ X10 ) )
=> ( X8 = X10 ) )
=> ! [X12: term,X14: term,X16: term,X18: term] :
( ( ( ap @ ( sub @ X12 @ id ) @ X16 )
= ( ap @ ( sub @ X14 @ id ) @ X18 ) )
=> ( X16 = X18 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y2 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y2 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ Y1 @ id ) @ Y3 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ Y1 @ id ) @ Y3 ) )
=> ( Y2 = Y3 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ '#sk1' @ id ) @ Y1 )
= ( ap @ ( sub @ Y0 @ id ) @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ '#sk1' @ id ) @ Y0 )
= ( ap @ ( sub @ '#sk2' @ id ) @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
~ ( !!
@ ^ [Y0: term] :
( ( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ Y0 ) )
=> ( '#sk3' = Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
~ ( ( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) )
=> ( '#sk3' = '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y2 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y2 = Y3 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X2: term] :
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( ( ap @ X2 @ Y1 )
= ( ap @ Y0 @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: term,X4: term] :
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( ( ap @ X2 @ Y0 )
= ( ap @ X4 @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: term,X4: term,X6: term] :
( !!
@ ^ [Y0: term] :
( ( ( ap @ X2 @ X6 )
= ( ap @ X4 @ Y0 ) )
=> ( X6 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: term,X4: term,X6: term,X8: term] :
( ( ( ap @ X2 @ X6 )
= ( ap @ X4 @ X8 ) )
=> ( X6 = X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: term,X4: term,X6: term,X8: term] :
( ( ( ap @ X2 @ X6 )
!= ( ap @ X4 @ X8 ) )
| ( X6 = X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
! [X2: term,X4: term,X6: term,X8: term] :
( ( ( ap @ X2 @ X6 )
!= ( ap @ X4 @ X8 ) )
| ( X6 = X8 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl82,plain,
! [X0: term,X1: term] :
( ( ( ap @ X1 @ X0 )
!= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) )
| ( X0 = '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl16]) ).
thf(zip_derived_cl105,plain,
'#sk4' = '#sk3',
inference(eq_res,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl15,plain,
'#sk3' != '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
'#sk3' != '#sk4',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl116,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl105,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.18 % Problem : ALG257^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.09/0.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JzsbrzARaj true
% 0.10/0.40 % Computer : n018.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8042.1875MB
% 0.10/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Wed Oct 1 17:01:38 EDT 2025
% 0.10/0.40 % CPUTime :
% 0.10/0.40 % Running portfolio for 300 s
% 0.10/0.40 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.40 % Number of cores: 8
% 0.10/0.40 % Python version: Python 3.6.8
% 0.10/0.41 % Running in HO mode
% 0.42/0.68 % Total configuration time : 828
% 0.42/0.68 % Estimated wc time : 1656
% 0.42/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.43/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.43/0.84 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.43/0.91 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.43/0.93 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.45/0.93 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.45/0.97 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.45/0.98 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.45/0.99 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.45/1.03 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.67/1.12 % Solved by lams/15_e_short1.sh.
% 1.67/1.12 % done 6 iterations in 0.108s
% 1.67/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.67/1.12 % SZS output start Refutation
% See solution above
% 1.67/1.12
% 1.67/1.12
% 1.67/1.12 % Terminating...
% 2.17/1.28 % Runner terminated.
% 2.17/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------