%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG267^2 : 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.NiPFnCJzdA true
% Computer : n012.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 04:28:30 PM UTC 2025
% Result : Theorem 0.58s 0.82s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 44 ( 4 ~; 0 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 2 ^; 7 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(push_type,type,
push: term > subst > subst ).
thf(hoasinduction_lem3b_type,type,
hoasinduction_lem3b: $o ).
thf(one_type,type,
one: term ).
thf(sh_type,type,
sh: subst ).
thf(hoasinduction_lem3b_lthm_type,type,
hoasinduction_lem3b_lthm: $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(sk__46_type,type,
sk__46: term ).
thf(hoasinduction_lem3b_lthm,axiom,
hoasinduction_lem3b_lthm = hoasinduction_lem3b ).
thf(hoasinduction_lem3b,axiom,
( hoasinduction_lem3b
= ( ! [B: term] :
? [F: subst > term > term] :
( ( sub @ B @ ( push @ one @ sh ) )
= ( F @ sh @ one ) ) ) ) ).
thf('0',plain,
( hoasinduction_lem3b
= ( ! [X4: term] :
? [X6: subst > term > term] :
( ( sub @ X4 @ ( push @ one @ sh ) )
= ( X6 @ sh @ one ) ) ) ),
define([status(thm)]) ).
thf('1',plain,
hoasinduction_lem3b_lthm = hoasinduction_lem3b,
inference(simplify_rw_rule,[status(thm)],[hoasinduction_lem3b_lthm,'0']) ).
thf('2',plain,
hoasinduction_lem3b_lthm = hoasinduction_lem3b,
define([status(thm)]) ).
thf(thm,conjecture,
hoasinduction_lem3b_lthm ).
thf(zf_stmt_0,conjecture,
! [X4: term] :
? [X6: subst > term > term] :
( ( sub @ X4 @ ( push @ one @ sh ) )
= ( X6 @ sh @ one ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: term] :
? [X6: subst > term > term] :
( ( sub @ X4 @ ( push @ one @ sh ) )
= ( X6 @ sh @ one ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: subst > term > term] :
( ( sub @ sk__46 @ ( push @ one @ sh ) )
!= ( X0 @ sh @ one ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: term] :
( ( sub @ sk__46 @ ( push @ one @ sh ) )
!= ( ^ [Y0: subst,Y1: term] : X0
@ sh
@ one ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X0: term] :
( ( sub @ sk__46 @ ( push @ one @ sh ) )
!= X0 ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG267^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NiPFnCJzdA true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:04:38 EDT 2025
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.52/0.65 % Total configuration time : 828
% 0.52/0.65 % Estimated wc time : 1656
% 0.52/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.82 % Solved by lams/40_c.s.sh.
% 0.58/0.82 % done 0 iterations in 0.023s
% 0.58/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.82 % SZS output start Refutation
% See solution above
% 0.58/0.82
% 0.58/0.82
% 0.58/0.82 % Terminating...
% 0.61/0.88 % Runner terminated.
% 0.61/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------