%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG262^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qzCTYjHUkg true
% Computer : n017.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 0.80s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 75 ( 6 ~; 0 |; 0 &; 54 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 6 con; 0-3 aty)
% ( 4 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 28 ( 12 ^; 12 !; 4 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf('#sk39_type',type,
'#sk39': subst > term > subst > $o ).
thf(hoasinduction_p_and_p_prime_type,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf('#sk41_type',type,
'#sk41': ( term > $o ) > term ).
thf(id_type,type,
id: subst ).
thf(hoasinduction_lem0_lthm_type,type,
hoasinduction_lem0_lthm: $o ).
thf(hoasinduction_lem0_type,type,
hoasinduction_lem0: $o ).
thf(hoasinduction_lem0_lthm,axiom,
hoasinduction_lem0_lthm = hoasinduction_lem0 ).
thf(hoasinduction_lem0,axiom,
( hoasinduction_lem0
= ( ! [P: subst > term > subst > $o] :
? [Q: term > $o] : ( hoasinduction_p_and_p_prime @ P @ Q ) ) ) ).
thf('0',plain,
( hoasinduction_lem0
= ( ! [X4: subst > term > subst > $o] :
? [X6: term > $o] : ( hoasinduction_p_and_p_prime @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(hoasinduction_p_and_p_prime,axiom,
( hoasinduction_p_and_p_prime
= ( ^ [P: subst > term > subst > $o,Q: term > $o] :
! [X: term] :
( ( Q @ X )
<=> ( P @ id @ X @ id ) ) ) ) ).
thf('1',plain,
( hoasinduction_p_and_p_prime
= ( ^ [P: subst > term > subst > $o,Q: term > $o] :
! [X: term] :
( ( Q @ X )
<=> ( P @ id @ X @ id ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[hoasinduction_p_and_p_prime]) ).
thf('2',plain,
( hoasinduction_p_and_p_prime
= ( ^ [V_1: subst > term > subst > $o,V_2: term > $o] :
! [X4: term] :
( ( V_2 @ X4 )
<=> ( V_1 @ id @ X4 @ id ) ) ) ),
define([status(thm)]) ).
thf('3',plain,
hoasinduction_lem0_lthm = hoasinduction_lem0,
inference(simplify_rw_rule,[status(thm)],[hoasinduction_lem0_lthm,'0','2']) ).
thf('4',plain,
hoasinduction_lem0_lthm = hoasinduction_lem0,
define([status(thm)]) ).
thf(thm,conjecture,
hoasinduction_lem0_lthm ).
thf(zf_stmt_0,conjecture,
! [X4: subst > term > subst > $o] :
? [X6: term > $o] :
! [X8: term] :
( ( X6 @ X8 )
<=> ( X4 @ id @ X8 @ id ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: subst > term > subst > $o] :
? [X6: term > $o] :
! [X8: term] :
( ( X6 @ X8 )
<=> ( X4 @ id @ X8 @ id ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: subst > term > subst > $o] :
( ??
@ ^ [Y1: term > $o] :
( !!
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
<=> ( Y0 @ id @ Y2 @ id ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
~ ( ??
@ ^ [Y0: term > $o] :
( !!
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
<=> ( '#sk39' @ id @ Y1 @ id ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl26,plain,
! [X2: term > $o] :
~ ( !!
@ ^ [Y0: term] :
( ( X2 @ Y0 )
<=> ( '#sk39' @ id @ Y0 @ id ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
! [X2: term > $o] :
~ ( ( X2 @ ( '#sk41' @ X2 ) )
<=> ( '#sk39' @ id @ ( '#sk41' @ X2 ) @ id ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X2: term > $o] :
( ( X2 @ ( '#sk41' @ X2 ) )
!= ( '#sk39' @ id @ ( '#sk41' @ X2 ) @ id ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl35,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ALG262^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qzCTYjHUkg true
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:59:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80 % Solved by lams/35_full_unif4.sh.
% 0.57/0.80 % done 6 iterations in 0.045s
% 0.57/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80 % SZS output start Refutation
% See solution above
% 0.57/0.80
% 0.57/0.80
% 0.57/0.80 % Terminating...
% 0.64/0.87 % Runner terminated.
% 1.97/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------