%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG256^2 : 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.4e6x3xv0gB true
% Computer : n028.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 0.55s 0.84s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 130 ( 76 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 319 ( 13 ~; 3 |; 0 &; 232 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 11 con; 0-4 aty)
% ( 38 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 109 ( 50 ^; 59 !; 0 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf('#sk3_type',type,
'#sk3': term ).
thf(hoasapinj1_lthm_type,type,
hoasapinj1_lthm: $o ).
thf(hoasapinj1_type,type,
hoasapinj1: $o ).
thf(hoasap_type,type,
hoasap: subst > term > subst > term > term ).
thf(id_type,type,
id: subst ).
thf('#sk1_type',type,
'#sk1': term ).
thf(axvarid_type,type,
axvarid: $o ).
thf('#sk2_type',type,
'#sk2': term ).
thf('#sk4_type',type,
'#sk4': term ).
thf(sub_type,type,
sub: term > subst > term ).
thf(apinj1_type,type,
apinj1: $o ).
thf(ap_type,type,
ap: term > term > term ).
thf(hoasapinj1_lthm,axiom,
( hoasapinj1_lthm
= ( axvarid
=> ( apinj1
=> hoasapinj1 ) ) ) ).
thf('0',plain,
( hoasapinj1_lthm
= ( axvarid
=> ( apinj1
=> hoasapinj1 ) ) ),
define([status(thm)]) ).
thf(hoasapinj1,axiom,
( hoasapinj1
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( hoasap @ id @ A @ id @ C )
= ( hoasap @ id @ B @ id @ D ) )
=> ( A = B ) ) ) ) ).
thf('1',plain,
( hoasapinj1
= ( ! [X4: term,X6: term,X8: term,X10: term] :
( ( ( hoasap @ id @ X4 @ id @ X8 )
= ( hoasap @ id @ X6 @ id @ X10 ) )
=> ( X4 = X6 ) ) ) ),
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(apinj1,axiom,
( apinj1
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( A = B ) ) ) ) ).
thf('4',plain,
( apinj1
= ( ! [X4: term,X6: term,X8: term,X10: term] :
( ( ( ap @ X4 @ X8 )
= ( ap @ X6 @ X10 ) )
=> ( X4 = X6 ) ) ) ),
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,
hoasapinj1_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term,X8: term,X10: term,X12: term] :
( ( ( ap @ X6 @ X10 )
= ( ap @ X8 @ X12 ) )
=> ( X6 = X8 ) )
=> ! [X14: term,X16: term,X18: term,X20: term] :
( ( ( ap @ ( sub @ X14 @ id ) @ X18 )
= ( ap @ ( sub @ X16 @ id ) @ X20 ) )
=> ( X14 = X16 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term,X8: term,X10: term,X12: term] :
( ( ( ap @ X6 @ X10 )
= ( ap @ X8 @ X12 ) )
=> ( X6 = X8 ) )
=> ! [X14: term,X16: term,X18: term,X20: term] :
( ( ( ap @ ( sub @ X14 @ id ) @ X18 )
= ( ap @ ( sub @ X16 @ id ) @ X20 ) )
=> ( X14 = X16 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y2 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y0 = Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ Y1 @ id ) @ Y3 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y2 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y0 = Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ Y1 @ id ) @ Y3 ) )
=> ( Y0 = Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ Y1 @ id ) @ Y3 ) )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ '#sk1' @ id ) @ Y1 )
= ( ap @ ( sub @ Y0 @ id ) @ Y2 ) )
=> ( '#sk1' = Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ '#sk1' @ id ) @ Y0 )
= ( ap @ ( sub @ '#sk2' @ id ) @ Y1 ) )
=> ( '#sk1' = '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
~ ( !!
@ ^ [Y0: term] :
( ( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ Y0 ) )
=> ( '#sk1' = '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
~ ( ( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) )
=> ( '#sk1' = '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
( ( ap @ ( sub @ '#sk1' @ id ) @ '#sk3' )
= ( ap @ ( sub @ '#sk2' @ id ) @ '#sk4' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
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_cl21,plain,
( ( ap @ '#sk1' @ '#sk3' )
= ( ap @ '#sk2' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: term] :
( ( ( ap @ Y0 @ Y2 )
= ( ap @ Y1 @ Y3 ) )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: term] :
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( ( ap @ X2 @ Y1 )
= ( ap @ Y0 @ Y2 ) )
=> ( X2 = Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: term,X4: term] :
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( ( ap @ X2 @ Y0 )
= ( ap @ X4 @ Y1 ) )
=> ( X2 = X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: term,X4: term,X6: term] :
( !!
@ ^ [Y0: term] :
( ( ( ap @ X2 @ X6 )
= ( ap @ X4 @ Y0 ) )
=> ( X2 = X4 ) ) ),
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 ) )
=> ( X2 = X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X2: term,X4: term,X6: term,X8: term] :
( ( ( ap @ X2 @ X6 )
!= ( ap @ X4 @ X8 ) )
| ( X2 = X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X2: term,X4: term,X6: term,X8: term] :
( ( ( ap @ X2 @ X6 )
!= ( ap @ X4 @ X8 ) )
| ( X2 = X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl26,plain,
! [X0: term,X1: term] :
( ( ( ap @ X1 @ X0 )
!= ( ap @ '#sk1' @ '#sk3' ) )
| ( X1 = '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).
thf(zip_derived_cl55,plain,
'#sk1' = '#sk2',
inference(eq_res,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl17,plain,
'#sk1' != '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
'#sk1' != '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl60,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl55,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : ALG256^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.03/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4e6x3xv0gB true
% 0.14/0.37 % Computer : n028.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 17:04:08 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.38 % Running in HO mode
% 0.52/0.66 % Total configuration time : 828
% 0.52/0.66 % Estimated wc time : 1656
% 0.52/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.55/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.55/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.55/0.84 % Solved by lams/20_acsne_simpl.sh.
% 0.55/0.84 % done 3 iterations in 0.057s
% 0.55/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.84 % SZS output start Refutation
% See solution above
% 0.55/0.84
% 0.55/0.84
% 0.55/0.84 % Terminating...
% 0.67/0.96 % Runner terminated.
% 0.67/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------