TSTP Solution File: ALG261^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG261^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YcoOrIC4OT true

% Computer : n021.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 : Wed Aug 30 17:12:34 EDT 2023

% Result   : Theorem 1.53s 0.83s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG261^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YcoOrIC4OT true
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 06:04:28 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.20/0.68  % Total configuration time : 828
% 0.20/0.68  % Estimated wc time : 1656
% 0.20/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.66/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.66/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.66/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.66/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.66/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.66/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.66/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.66/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.53/0.82  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.53/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 1.53/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 1.53/0.83  % Solved by lams/30_b.l.sh.
% 1.53/0.83  % done 0 iterations in 0.026s
% 1.53/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.53/0.83  % SZS output start Refutation
% 1.53/0.83  thf(subst_type, type, subst: $tType).
% 1.53/0.83  thf(term_type, type, term: $tType).
% 1.53/0.83  thf(hoasap_type, type, hoasap: subst > term > subst > term > term).
% 1.53/0.83  thf(id_type, type, id: subst).
% 1.53/0.83  thf(axvarid_type, type, axvarid: $o).
% 1.53/0.83  thf('#sk1_type', type, '#sk1': term).
% 1.53/0.83  thf(apnotvar_type, type, apnotvar: $o).
% 1.53/0.83  thf(sub_type, type, sub: term > subst > term).
% 1.53/0.83  thf(ap_type, type, ap: term > term > term).
% 1.53/0.83  thf(hoasapnotvar_type, type, hoasapnotvar: $o).
% 1.53/0.83  thf('#sk2_type', type, '#sk2': term).
% 1.53/0.83  thf(var_type, type, var: term > $o).
% 1.53/0.83  thf(hoasapnotvar_lthm_type, type, hoasapnotvar_lthm: $o).
% 1.53/0.83  thf(hoasvar_type, type, hoasvar: subst > term > subst > $o).
% 1.53/0.83  thf(thm, conjecture, (hoasapnotvar_lthm)).
% 1.53/0.83  thf(zf_stmt_0, negated_conjecture, (~( hoasapnotvar_lthm )),
% 1.53/0.83    inference('cnf.neg', [status(esa)], [thm])).
% 1.53/0.83  thf(zip_derived_cl0, plain, (~ (hoasapnotvar_lthm)),
% 1.53/0.83      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.53/0.83  thf(hoasapnotvar_lthm, axiom, ~ (hoasapnotvar_lthm) =>
% 1.53/0.83    ((((axvarid) => (((apnotvar) => (hoasapnotvar))))) != ($true))).
% 1.53/0.83  thf('0', plain,
% 1.53/0.83      (( ~( hoasapnotvar_lthm ) ) <=>
% 1.53/0.83       ( ~( ( axvarid ) => ( ( apnotvar ) => ( hoasapnotvar ) ) ) )),
% 1.53/0.83      inference('rw.lit', [status(esa)], [hoasapnotvar_lthm])).
% 1.53/0.83  thf(zip_derived_cl1, plain,
% 1.53/0.83      (~ (((axvarid) => (((apnotvar) => (hoasapnotvar)))))),
% 1.53/0.83      inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 1.53/0.83  thf(zip_derived_cl3, plain, (~ (((apnotvar) => (hoasapnotvar)))),
% 1.53/0.83      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.53/0.83  thf(zip_derived_cl6, plain, (~ (hoasapnotvar)),
% 1.53/0.83      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.53/0.83  thf(hoasapnotvar, axiom, ~ (hoasapnotvar) =>
% 1.53/0.83    ((((!!) @ (^[Y0 : term]:
% 1.53/0.83                 (((!!) @ (^[Y1 : term]:
% 1.53/0.83                             (((~) @ (hoasvar @ id @ 
% 1.53/0.83                                      (hoasap @ id @ Y0 @ id @ Y1) @ id)))))))))
% 1.53/0.83     != ($true))).
% 1.53/0.83  thf('1', plain,
% 1.53/0.83      (( ~( hoasapnotvar ) ) <=>
% 1.53/0.83       ( ~( ![X5:term,X7:term]:
% 1.53/0.83            ( ~( hoasvar @ id @ ( hoasap @ id @ X5 @ id @ X7 ) @ id ) ) ) )),
% 1.53/0.83      inference('rw.lit', [status(esa)], [hoasapnotvar])).
% 1.53/0.83  thf(zip_derived_cl9, plain,
% 1.53/0.83      (~ (((!!) @ (^[Y0 : term]:
% 1.53/0.83                     (((!!) @ (^[Y1 : term]:
% 1.53/0.83                                 (((~) @ (hoasvar @ id @ 
% 1.53/0.83                                          (hoasap @ id @ Y0 @ id @ Y1) @ id)))))))))),
% 1.53/0.83      inference('rw_clause', [status(thm)], [zip_derived_cl6, '1'])).
% 1.53/0.83  thf(zip_derived_cl12, plain,
% 1.53/0.83      (~ (((!!) @ (^[Y0 : term]:
% 1.53/0.83                     (((~) @ (hoasvar @ id @ 
% 1.53/0.83                              (hoasap @ id @ '#sk1' @ id @ Y0) @ id))))))),
% 1.53/0.83      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 1.53/0.83  thf(zip_derived_cl14, plain,
% 1.53/0.83      ( (hoasvar @ id @ (hoasap @ id @ '#sk1' @ id @ '#sk2') @ id)),
% 1.53/0.83      inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 1.53/0.83  thf(hoasap, axiom,(( hoasap @ (X3)@ (X0)@ (X1)@ (X2)) =
% 1.53/0.83    ((ap @ (sub @ X0 @ X1) @ X2)))).
% 1.53/0.83  thf('2', plain,
% 1.53/0.83      (![X3:subst,X2:term,X1:subst,X0:term]:
% 1.53/0.83       ( ( hoasap @ X3 @ X0 @ X1 @ X2 ) = ( ap @ ( sub @ X0 @ X1 ) @ X2 ) )),
% 1.53/0.83      define([status(thm)])).
% 1.53/0.83  thf(hoasvar, axiom,(( hoasvar @ (X2)@ (X0)@ (X1)) =
% 1.53/0.83    ((var @ (sub @ X0 @ X1))))).
% 1.53/0.83  thf('3', plain,
% 1.53/0.83      (![X2:subst,X1:subst,X0:term]:
% 1.53/0.83       ( ( hoasvar @ X2 @ X0 @ X1 ) = ( var @ ( sub @ X0 @ X1 ) ) )),
% 1.53/0.83      define([status(thm)])).
% 1.53/0.83  thf(zip_derived_cl15, plain,
% 1.53/0.83      ( (var @ (sub @ (ap @ (sub @ '#sk1' @ id) @ '#sk2') @ id))),
% 1.53/0.83      inference('rw', [status(thm)], [zip_derived_cl14, '2', '3'])).
% 1.53/0.83  thf(zip_derived_cl2, plain, ( (axvarid)),
% 1.53/0.83      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.53/0.83  thf(axvarid, axiom, (axvarid) =>
% 1.53/0.83    ((((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0)))))) = ($true))).
% 1.53/0.83  thf('4', plain,
% 1.53/0.83      (( axvarid ) <=> ( ![X5:term]: ( ( sub @ X5 @ id ) = ( X5 ) ) )),
% 1.53/0.83      inference('rw.lit', [status(esa)], [axvarid])).
% 1.53/0.83  thf(zip_derived_cl4, plain,
% 1.53/0.83      ( (((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0))))))),
% 1.53/0.83      inference('rw_clause', [status(thm)], [zip_derived_cl2, '4'])).
% 1.53/0.83  thf(zip_derived_cl7, plain, (![X2 : term]:  (((sub @ X2 @ id) = (X2)))),
% 1.53/0.83      inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 1.53/0.83  thf(zip_derived_cl10, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 1.53/0.83      inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
% 1.53/0.83  thf(zip_derived_cl10, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 1.53/0.83      inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
% 1.53/0.83  thf(zip_derived_cl5, plain, ( (apnotvar)),
% 1.53/0.83      inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.53/0.83  thf(apnotvar, axiom, (apnotvar) =>
% 1.53/0.83    ((((!!) @ (^[Y0 : term]:
% 1.53/0.83                 (((!!) @ (^[Y1 : term]: (((~) @ (var @ (ap @ Y0 @ Y1))))))))))
% 1.53/0.83     = ($true))).
% 1.53/0.83  thf('5', plain,
% 1.53/0.83      (( apnotvar ) <=> ( ![X5:term,X7:term]: ( ~( var @ ( ap @ X5 @ X7 ) ) ) )),
% 1.53/0.83      inference('rw.lit', [status(esa)], [apnotvar])).
% 1.53/0.83  thf(zip_derived_cl8, plain,
% 1.53/0.83      ( (((!!) @ (^[Y0 : term]:
% 1.53/0.83                    (((!!) @ (^[Y1 : term]: (((~) @ (var @ (ap @ Y0 @ Y1))))))))))),
% 1.53/0.83      inference('rw_clause', [status(thm)], [zip_derived_cl5, '5'])).
% 1.53/0.83  thf(zip_derived_cl11, plain,
% 1.53/0.83      (![X2 : term]:
% 1.53/0.83          (((!!) @ (^[Y0 : term]: (((~) @ (var @ (ap @ X2 @ Y0)))))))),
% 1.53/0.83      inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
% 1.53/0.83  thf(zip_derived_cl13, plain,
% 1.53/0.83      (![X2 : term, X4 : term]: ~ (var @ (ap @ X2 @ X4))),
% 1.53/0.83      inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
% 1.53/0.83  thf(zip_derived_cl16, plain, ($false),
% 1.53/0.83      inference('demod', [status(thm)],
% 1.53/0.83                [zip_derived_cl15, zip_derived_cl10, zip_derived_cl10, 
% 1.53/0.83                 zip_derived_cl13])).
% 1.53/0.83  
% 1.53/0.83  % SZS output end Refutation
% 1.53/0.83  
% 1.53/0.83  
% 1.53/0.83  % Terminating...
% 1.53/0.88  % Runner terminated.
% 2.00/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------