TSTP Solution File: ALG256^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG256^2 : 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.2wm6t5pg1Q true
% Computer : n026.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 17:12:31 EDT 2023
% Result : Theorem 1.35s 0.86s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG256^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2wm6t5pg1Q true
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 03:21:04 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.18/0.59 % Total configuration time : 828
% 0.18/0.59 % Estimated wc time : 1656
% 0.18/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.18/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.18/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.18/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 1.35/0.86 % Solved by lams/30_b.l.sh.
% 1.35/0.86 % done 4 iterations in 0.051s
% 1.35/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.86 % SZS output start Refutation
% 1.35/0.86 thf(term_type, type, term: $tType).
% 1.35/0.86 thf(subst_type, type, subst: $tType).
% 1.35/0.86 thf('#sk1_type', type, '#sk1': term).
% 1.35/0.86 thf(hoasapinj1_lthm_type, type, hoasapinj1_lthm: $o).
% 1.35/0.86 thf(hoasapinj1_type, type, hoasapinj1: $o).
% 1.35/0.86 thf(hoasap_type, type, hoasap: subst > term > subst > term > term).
% 1.35/0.86 thf(id_type, type, id: subst).
% 1.35/0.86 thf('#sk3_type', type, '#sk3': term).
% 1.35/0.86 thf(axvarid_type, type, axvarid: $o).
% 1.35/0.86 thf('#sk4_type', type, '#sk4': term).
% 1.35/0.86 thf(sub_type, type, sub: term > subst > term).
% 1.35/0.86 thf(apinj1_type, type, apinj1: $o).
% 1.35/0.86 thf(ap_type, type, ap: term > term > term).
% 1.35/0.86 thf('#sk2_type', type, '#sk2': term).
% 1.35/0.86 thf(thm, conjecture, (hoasapinj1_lthm)).
% 1.35/0.86 thf(zf_stmt_0, negated_conjecture, (~( hoasapinj1_lthm )),
% 1.35/0.86 inference('cnf.neg', [status(esa)], [thm])).
% 1.35/0.86 thf(zip_derived_cl0, plain, (~ (hoasapinj1_lthm)),
% 1.35/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.86 thf(hoasapinj1_lthm, axiom, ~ (hoasapinj1_lthm) =>
% 1.35/0.86 ((((axvarid) => (((apinj1) => (hoasapinj1))))) != ($true))).
% 1.35/0.86 thf('0', plain,
% 1.35/0.86 (( ~( hoasapinj1_lthm ) ) <=>
% 1.35/0.86 ( ~( ( axvarid ) => ( ( apinj1 ) => ( hoasapinj1 ) ) ) )),
% 1.35/0.86 inference('rw.lit', [status(esa)], [hoasapinj1_lthm])).
% 1.35/0.86 thf(zip_derived_cl1, plain,
% 1.35/0.86 (~ (((axvarid) => (((apinj1) => (hoasapinj1)))))),
% 1.35/0.86 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 1.35/0.86 thf(zip_derived_cl3, plain, (~ (((apinj1) => (hoasapinj1)))),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.35/0.86 thf(zip_derived_cl6, plain, (~ (hoasapinj1)),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.35/0.86 thf(hoasapinj1, axiom, ~ (hoasapinj1) =>
% 1.35/0.86 ((((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((!!) @ (^[Y2 : term]:
% 1.35/0.86 (((!!) @ (^[Y3 : term]:
% 1.35/0.86 (((((hoasap @ id @ Y0 @
% 1.35/0.86 id @ Y2) = (hoasap @
% 1.35/0.86 id @ Y1 @ id @ Y3))) =>
% 1.35/0.86 (((Y0) = (Y1)))))))))))))))))
% 1.35/0.86 != ($true))).
% 1.35/0.86 thf('1', plain,
% 1.35/0.86 (( ~( hoasapinj1 ) ) <=>
% 1.35/0.86 ( ~( ![X5:term,X7:term,X9:term,X11:term]:
% 1.35/0.86 ( ( ( hoasap @ id @ X5 @ id @ X9 ) =
% 1.35/0.86 ( hoasap @ id @ X7 @ id @ X11 ) ) =>
% 1.35/0.86 ( ( X5 ) = ( X7 ) ) ) ) )),
% 1.35/0.86 inference('rw.lit', [status(esa)], [hoasapinj1])).
% 1.35/0.86 thf(zip_derived_cl9, plain,
% 1.35/0.86 (~ (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((!!) @ (^[Y2 : term]:
% 1.35/0.86 (((!!) @ (^[Y3 : term]:
% 1.35/0.86 (((((hoasap @ id @
% 1.35/0.86 Y0 @ id @ Y2) =
% 1.35/0.86 (hoasap @ id @
% 1.35/0.86 Y1 @ id @ Y3))) =>
% 1.35/0.86 (((Y0) = (Y1)))))))))))))))))),
% 1.35/0.86 inference('rw_clause', [status(thm)], [zip_derived_cl6, '1'])).
% 1.35/0.86 thf(zip_derived_cl12, plain,
% 1.35/0.86 (~ (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((!!) @ (^[Y2 : term]:
% 1.35/0.86 (((((hoasap @ id @ '#sk1' @ id @
% 1.35/0.86 Y1) = (hoasap @ id @ Y0 @
% 1.35/0.86 id @ Y2))) =>
% 1.35/0.86 ((('#sk1') = (Y0))))))))))))))),
% 1.35/0.86 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 1.35/0.86 thf(zip_derived_cl14, plain,
% 1.35/0.86 (~ (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((((hoasap @ id @ '#sk1' @ id @ Y0) =
% 1.35/0.86 (hoasap @ id @ '#sk2' @ id @ Y1))) =>
% 1.35/0.86 ((('#sk1') = ('#sk2')))))))))))),
% 1.35/0.86 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 1.35/0.86 thf(zip_derived_cl16, plain,
% 1.35/0.86 (~ (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((((hoasap @ id @ '#sk1' @ id @ '#sk3') = (hoasap @ id @
% 1.35/0.86 '#sk2' @ id @ Y0))) =>
% 1.35/0.86 ((('#sk1') = ('#sk2'))))))))),
% 1.35/0.86 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])).
% 1.35/0.86 thf(hoasap, axiom,(( hoasap @ (X3)@ (X0)@ (X1)@ (X2)) =
% 1.35/0.86 ((ap @ (sub @ X0 @ X1) @ X2)))).
% 1.35/0.86 thf('2', plain,
% 1.35/0.86 (![X3:subst,X2:term,X1:subst,X0:term]:
% 1.35/0.86 ( ( hoasap @ X3 @ X0 @ X1 @ X2 ) = ( ap @ ( sub @ X0 @ X1 ) @ X2 ) )),
% 1.35/0.86 define([status(thm)])).
% 1.35/0.86 thf(zip_derived_cl18, plain,
% 1.35/0.86 (~ (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (hoasap @ id @
% 1.35/0.86 '#sk2' @ id @ Y0))) =>
% 1.35/0.86 ((('#sk1') = ('#sk2'))))))))),
% 1.35/0.86 inference('rw', [status(thm)], [zip_derived_cl16, '2'])).
% 1.35/0.86 thf(zip_derived_cl19, plain,
% 1.35/0.86 (~ (((((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (hoasap @ id @ '#sk2' @
% 1.35/0.86 id @ '#sk4'))) =>
% 1.35/0.86 ((('#sk1') = ('#sk2')))))),
% 1.35/0.86 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])).
% 1.35/0.86 thf(zip_derived_cl21, plain,
% 1.35/0.86 (~ (((((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (ap @ (sub @ '#sk2' @ id) @
% 1.35/0.86 '#sk4'))) =>
% 1.35/0.86 ((('#sk1') = ('#sk2')))))),
% 1.35/0.86 inference('rw', [status(thm)], [zip_derived_cl19, '2'])).
% 1.35/0.86 thf(zip_derived_cl22, plain,
% 1.35/0.86 ( (((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (ap @ (sub @ '#sk2' @ id) @
% 1.35/0.86 '#sk4')))),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])).
% 1.35/0.86 thf(zip_derived_cl25, plain,
% 1.35/0.86 (((ap @ (sub @ '#sk1' @ id) @ '#sk3')
% 1.35/0.86 = (ap @ (sub @ '#sk2' @ id) @ '#sk4'))),
% 1.35/0.86 inference('simplify nested equalities', [status(thm)], [zip_derived_cl22])).
% 1.35/0.86 thf(zip_derived_cl2, plain, ( (axvarid)),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.35/0.86 thf(axvarid, axiom, (axvarid) =>
% 1.35/0.86 ((((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0)))))) = ($true))).
% 1.35/0.86 thf('3', plain,
% 1.35/0.86 (( axvarid ) <=> ( ![X5:term]: ( ( sub @ X5 @ id ) = ( X5 ) ) )),
% 1.35/0.86 inference('rw.lit', [status(esa)], [axvarid])).
% 1.35/0.86 thf(zip_derived_cl4, plain,
% 1.35/0.86 ( (((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0))))))),
% 1.35/0.86 inference('rw_clause', [status(thm)], [zip_derived_cl2, '3'])).
% 1.35/0.86 thf(zip_derived_cl7, plain, (![X2 : term]: (((sub @ X2 @ id) = (X2)))),
% 1.35/0.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl10, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 1.35/0.86 inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
% 1.35/0.86 thf(zip_derived_cl10, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 1.35/0.86 inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
% 1.35/0.86 thf(zip_derived_cl27, plain,
% 1.35/0.86 (((ap @ '#sk1' @ '#sk3') = (ap @ '#sk2' @ '#sk4'))),
% 1.35/0.86 inference('demod', [status(thm)],
% 1.35/0.86 [zip_derived_cl25, zip_derived_cl10, zip_derived_cl10])).
% 1.35/0.86 thf(zip_derived_cl5, plain, ( (apinj1)),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.35/0.86 thf(apinj1, axiom, (apinj1) =>
% 1.35/0.86 ((((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((!!) @ (^[Y2 : term]:
% 1.35/0.86 (((!!) @ (^[Y3 : term]:
% 1.35/0.86 (((((ap @ Y0 @ Y2) =
% 1.35/0.86 (ap @ Y1 @ Y3))) =>
% 1.35/0.86 (((Y0) = (Y1)))))))))))))))))
% 1.35/0.86 = ($true))).
% 1.35/0.86 thf('4', plain,
% 1.35/0.86 (( apinj1 ) <=>
% 1.35/0.86 ( ![X5:term,X7:term,X9:term,X11:term]:
% 1.35/0.86 ( ( ( ap @ X5 @ X9 ) = ( ap @ X7 @ X11 ) ) => ( ( X5 ) = ( X7 ) ) ) )),
% 1.35/0.86 inference('rw.lit', [status(esa)], [apinj1])).
% 1.35/0.86 thf(zip_derived_cl8, plain,
% 1.35/0.86 ( (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((!!) @ (^[Y2 : term]:
% 1.35/0.86 (((!!) @ (^[Y3 : term]:
% 1.35/0.86 (((((ap @ Y0 @ Y2) =
% 1.35/0.86 (ap @ Y1 @ Y3))) =>
% 1.35/0.86 (((Y0) = (Y1)))))))))))))))))),
% 1.35/0.86 inference('rw_clause', [status(thm)], [zip_derived_cl5, '4'])).
% 1.35/0.86 thf(zip_derived_cl11, plain,
% 1.35/0.86 (![X2 : term]:
% 1.35/0.86 (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((!!) @ (^[Y2 : term]:
% 1.35/0.86 (((((ap @ X2 @ Y1) = (ap @ Y0 @
% 1.35/0.86 Y2))) =>
% 1.35/0.86 (((X2) = (Y0))))))))))))))),
% 1.35/0.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
% 1.35/0.86 thf(zip_derived_cl13, plain,
% 1.35/0.86 (![X2 : term, X4 : term]:
% 1.35/0.86 (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((!!) @ (^[Y1 : term]:
% 1.35/0.86 (((((ap @ X2 @ Y0) = (ap @ X4 @ Y1))) =>
% 1.35/0.86 (((X2) = (X4)))))))))))),
% 1.35/0.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
% 1.35/0.86 thf(zip_derived_cl15, plain,
% 1.35/0.86 (![X2 : term, X4 : term, X6 : term]:
% 1.35/0.86 (((!!) @ (^[Y0 : term]:
% 1.35/0.86 (((((ap @ X2 @ X6) = (ap @ X4 @ Y0))) => (((X2) = (X4))))))))),
% 1.35/0.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
% 1.35/0.86 thf(zip_derived_cl17, plain,
% 1.35/0.86 (![X2 : term, X4 : term, X6 : term, X8 : term]:
% 1.35/0.86 (((((ap @ X2 @ X6) = (ap @ X4 @ X8))) => (((X2) = (X4)))))),
% 1.35/0.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 1.35/0.86 thf(zip_derived_cl20, plain,
% 1.35/0.86 (![X2 : term, X4 : term, X6 : term, X8 : term]:
% 1.35/0.86 (~ (((ap @ X2 @ X6) = (ap @ X4 @ X8))) | (((X2) = (X4))))),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])).
% 1.35/0.86 thf(zip_derived_cl24, plain,
% 1.35/0.86 (![X2 : term, X4 : term, X6 : term, X8 : term]:
% 1.35/0.86 (((ap @ X2 @ X6) != (ap @ X4 @ X8)) | ((X2) = (X4)))),
% 1.35/0.86 inference('simplify nested equalities', [status(thm)], [zip_derived_cl20])).
% 1.35/0.86 thf(zip_derived_cl50, plain,
% 1.35/0.86 (![X0 : term, X1 : term]:
% 1.35/0.86 (((ap @ X1 @ X0) != (ap @ '#sk2' @ '#sk4')) | ((X1) = ('#sk1')))),
% 1.35/0.86 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl24])).
% 1.35/0.86 thf(zip_derived_cl65, plain, ((('#sk2') = ('#sk1'))),
% 1.35/0.86 inference('eq_res', [status(thm)], [zip_derived_cl50])).
% 1.35/0.86 thf(zip_derived_cl23, plain, (~ ((('#sk1') = ('#sk2')))),
% 1.35/0.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])).
% 1.35/0.86 thf(zip_derived_cl26, plain, ((('#sk1') != ('#sk2'))),
% 1.35/0.86 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
% 1.35/0.86 thf(zip_derived_cl70, plain, ($false),
% 1.35/0.86 inference('simplify_reflect-', [status(thm)],
% 1.35/0.86 [zip_derived_cl65, zip_derived_cl26])).
% 1.35/0.86
% 1.35/0.86 % SZS output end Refutation
% 1.35/0.86
% 1.35/0.86
% 1.35/0.86 % Terminating...
% 2.35/0.98 % Runner terminated.
% 2.35/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------