TSTP Solution File: ALG257^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG257^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9BvMqeMKva 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 17:12:31 EDT 2023
% Result : Theorem 1.40s 0.83s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG257^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9BvMqeMKva true
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 04:32:28 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.40/0.82 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.40/0.83 % Solved by lams/40_b.comb.sh.
% 1.40/0.83 % done 3 iterations in 0.059s
% 1.40/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.83 % SZS output start Refutation
% 1.40/0.83 thf(term_type, type, term: $tType).
% 1.40/0.83 thf(subst_type, type, subst: $tType).
% 1.40/0.83 thf('#sk1_type', type, '#sk1': term).
% 1.40/0.83 thf(hoasap_type, type, hoasap: subst > term > subst > term > term).
% 1.40/0.83 thf(id_type, type, id: subst).
% 1.40/0.83 thf('#sk3_type', type, '#sk3': term).
% 1.40/0.83 thf(apinj2_type, type, apinj2: $o).
% 1.40/0.83 thf(hoasapinj2_lthm_type, type, hoasapinj2_lthm: $o).
% 1.40/0.83 thf('#sk4_type', type, '#sk4': term).
% 1.40/0.83 thf(sub_type, type, sub: term > subst > term).
% 1.40/0.83 thf(ap_type, type, ap: term > term > term).
% 1.40/0.83 thf(hoasapinj2_type, type, hoasapinj2: $o).
% 1.40/0.83 thf('#sk2_type', type, '#sk2': term).
% 1.40/0.83 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 1.40/0.83 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 1.40/0.83 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 1.40/0.83 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 1.40/0.83 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 1.40/0.83 thf(thm, conjecture, (hoasapinj2_lthm)).
% 1.40/0.83 thf(zf_stmt_0, negated_conjecture, (~( hoasapinj2_lthm )),
% 1.40/0.83 inference('cnf.neg', [status(esa)], [thm])).
% 1.40/0.83 thf(zip_derived_cl0, plain, (~ (hoasapinj2_lthm)),
% 1.40/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.40/0.83 thf(hoasapinj2_lthm, axiom, ~ (hoasapinj2_lthm) =>
% 1.40/0.83 ((((apinj2) => (hoasapinj2))) != ($true))).
% 1.40/0.83 thf('0', plain,
% 1.40/0.83 (( ~( hoasapinj2_lthm ) ) <=> ( ~( ( apinj2 ) => ( hoasapinj2 ) ) )),
% 1.40/0.83 inference('rw.lit', [status(esa)], [hoasapinj2_lthm])).
% 1.40/0.83 thf(zip_derived_cl1, plain, (~ (((apinj2) => (hoasapinj2)))),
% 1.40/0.83 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 1.40/0.83 thf(zip_derived_cl3, plain, (~ (hoasapinj2)),
% 1.40/0.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.40/0.83 thf(hoasapinj2, axiom, ~ (hoasapinj2) =>
% 1.40/0.83 ((((!!) @ (^[Y0 : term]:
% 1.40/0.83 (((!!) @ (^[Y1 : term]:
% 1.40/0.83 (((!!) @ (^[Y2 : term]:
% 1.40/0.83 (((!!) @ (^[Y3 : term]:
% 1.40/0.83 (((((hoasap @ id @ Y0 @
% 1.40/0.83 id @ Y2) = (hoasap @
% 1.40/0.83 id @ Y1 @ id @ Y3))) =>
% 1.40/0.83 (((Y2) = (Y3)))))))))))))))))
% 1.40/0.83 != ($true))).
% 1.40/0.83 thf('1', plain,
% 1.40/0.83 (( ~( hoasapinj2 ) ) <=>
% 1.40/0.83 ( ~( ![X5:term,X7:term,X9:term,X11:term]:
% 1.40/0.83 ( ( ( hoasap @ id @ X5 @ id @ X9 ) =
% 1.40/0.83 ( hoasap @ id @ X7 @ id @ X11 ) ) =>
% 1.40/0.83 ( ( X9 ) = ( X11 ) ) ) ) )),
% 1.40/0.83 inference('rw.lit', [status(esa)], [hoasapinj2])).
% 1.40/0.83 thf(zip_derived_cl5, plain,
% 1.40/0.83 (~ (((!!) @ (^[Y0 : term]:
% 1.40/0.83 (((!!) @ (^[Y1 : term]:
% 1.40/0.83 (((!!) @ (^[Y2 : term]:
% 1.40/0.83 (((!!) @ (^[Y3 : term]:
% 1.40/0.83 (((((hoasap @ id @
% 1.40/0.83 Y0 @ id @ Y2) =
% 1.40/0.83 (hoasap @ id @
% 1.40/0.83 Y1 @ id @ Y3))) =>
% 1.40/0.83 (((Y2) = (Y3)))))))))))))))))),
% 1.40/0.83 inference('rw_clause', [status(thm)], [zip_derived_cl3, '1'])).
% 1.40/0.83 thf(zip_derived_cl8, plain,
% 1.40/0.83 (~ (((!!) @ ((('#B') @ (!!) @
% 1.40/0.83 ((('#B') @ ((('#B') @ (!!))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#C') @
% 1.40/0.83 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ ('#S'))))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ (
% 1.40/0.83 (('#B') @ (=>))))))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#B') @
% 1.40/0.83 ((('#B') @ ('#C') @
% 1.40/0.83 ((('#B') @ ((
% 1.40/0.83 ('#B') @ (
% 1.40/0.83 '#B'))) @
% 1.40/0.83 ((('#B') @ (
% 1.40/0.83 (('#B') @ (=))) @
% 1.40/0.83 ((('#C') @ (
% 1.40/0.83 hoasap @ id) @
% 1.40/0.83 id)))))))))) @
% 1.40/0.83 ((('#C') @ (hoasap @ id) @ id)))))))))))) @
% 1.40/0.83 (=)))))))))))),
% 1.40/0.83 inference('comb-normalize', [status(thm)], [zip_derived_cl5])).
% 1.40/0.83 thf(zip_derived_cl9, plain,
% 1.40/0.83 (~ (((!!) @ ((('#B') @ (!!) @
% 1.40/0.83 ((('#B') @ ((('#B') @ (!!))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#S') @
% 1.40/0.83 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @
% 1.40/0.83 ((('#B') @ ((('#C') @ ((('#B') @ (
% 1.40/0.83 '#B') @
% 1.40/0.83 ((('#B') @ (
% 1.40/0.83 =) @
% 1.40/0.83 (hoasap @
% 1.40/0.83 id @
% 1.40/0.83 '#sk1' @ id))))))) @
% 1.40/0.83 ((('#C') @ (hoasap @ id) @ id)))))))))) @
% 1.40/0.83 (=)))))))))),
% 1.40/0.83 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])).
% 1.40/0.83 thf(zip_derived_cl11, plain,
% 1.40/0.83 (~ (((!!) @ ((('#B') @ (!!) @
% 1.40/0.83 ((('#S') @ ((('#B') @ ('#S') @
% 1.40/0.83 ((('#B') @ ((('#B') @ (=>))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#B') @
% 1.40/0.83 ((('#B') @ (=) @
% 1.40/0.83 (hoasap @ id @ '#sk1' @ id))))) @
% 1.40/0.83 (hoasap @ id @ '#sk2' @ id))))))) @
% 1.40/0.83 (=)))))))),
% 1.40/0.83 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 1.40/0.83 thf(zip_derived_cl13, plain,
% 1.40/0.83 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.40/0.83 ((('#B') @ (((term) = (hoasap @ id @ '#sk1' @
% 1.40/0.83 id @ '#sk3'))) @
% 1.40/0.83 (hoasap @ id @ '#sk2' @ id))))) @
% 1.40/0.83 (((term) = ('#sk3')))))))),
% 1.40/0.83 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])).
% 1.40/0.83 thf(hoasap, axiom,(( hoasap @ (X3)@ (X0)@ (X1)@ (X2)) =
% 1.40/0.83 ((ap @ (sub @ X0 @ X1) @ X2)))).
% 1.40/0.83 thf('2', plain,
% 1.40/0.83 (![X3:subst,X2:term,X1:subst,X0:term]:
% 1.40/0.83 ( ( hoasap @ X3 @ X0 @ X1 @ X2 ) = ( ap @ ( sub @ X0 @ X1 ) @ X2 ) )),
% 1.40/0.83 define([status(thm)])).
% 1.40/0.83 thf(zip_derived_cl15, plain,
% 1.40/0.83 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.40/0.83 ((('#B') @ (((term) = (ap @
% 1.40/0.83 (sub @ '#sk1' @ id) @ '#sk3'))) @
% 1.40/0.83 (hoasap @ id @ '#sk2' @ id))))) @
% 1.40/0.83 (((term) = ('#sk3')))))))),
% 1.40/0.83 inference('rw', [status(thm)], [zip_derived_cl13, '2'])).
% 1.40/0.83 thf(zip_derived_cl16, plain,
% 1.40/0.83 (~ (((((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (hoasap @ id @ '#sk2' @
% 1.40/0.83 id @ '#sk4'))) =>
% 1.40/0.83 ((('#sk3') = ('#sk4')))))),
% 1.40/0.83 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])).
% 1.40/0.83 thf(zip_derived_cl18, plain,
% 1.40/0.83 (~ (((((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (ap @ (sub @ '#sk2' @ id) @
% 1.40/0.83 '#sk4'))) =>
% 1.40/0.83 ((('#sk3') = ('#sk4')))))),
% 1.40/0.83 inference('rw', [status(thm)], [zip_derived_cl16, '2'])).
% 1.40/0.83 thf(zip_derived_cl19, plain,
% 1.40/0.83 ( (((ap @ (sub @ '#sk1' @ id) @ '#sk3') = (ap @ (sub @ '#sk2' @ id) @
% 1.40/0.83 '#sk4')))),
% 1.40/0.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 1.40/0.83 thf(zip_derived_cl22, plain,
% 1.40/0.83 (((ap @ (sub @ '#sk1' @ id) @ '#sk3')
% 1.40/0.83 = (ap @ (sub @ '#sk2' @ id) @ '#sk4'))),
% 1.40/0.83 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 1.40/0.83 thf(zip_derived_cl2, plain, ( (apinj2)),
% 1.40/0.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.40/0.83 thf(apinj2, axiom, (apinj2) =>
% 1.40/0.83 ((((!!) @ (^[Y0 : term]:
% 1.40/0.83 (((!!) @ (^[Y1 : term]:
% 1.40/0.83 (((!!) @ (^[Y2 : term]:
% 1.40/0.83 (((!!) @ (^[Y3 : term]:
% 1.40/0.83 (((((ap @ Y0 @ Y2) =
% 1.40/0.83 (ap @ Y1 @ Y3))) =>
% 1.40/0.83 (((Y2) = (Y3)))))))))))))))))
% 1.40/0.83 = ($true))).
% 1.40/0.83 thf('3', plain,
% 1.40/0.83 (( apinj2 ) <=>
% 1.40/0.83 ( ![X5:term,X7:term,X9:term,X11:term]:
% 1.40/0.83 ( ( ( ap @ X5 @ X9 ) = ( ap @ X7 @ X11 ) ) => ( ( X9 ) = ( X11 ) ) ) )),
% 1.40/0.83 inference('rw.lit', [status(esa)], [apinj2])).
% 1.40/0.83 thf(zip_derived_cl4, plain,
% 1.40/0.83 ( (((!!) @ (^[Y0 : term]:
% 1.40/0.83 (((!!) @ (^[Y1 : term]:
% 1.40/0.83 (((!!) @ (^[Y2 : term]:
% 1.40/0.83 (((!!) @ (^[Y3 : term]:
% 1.40/0.83 (((((ap @ Y0 @ Y2) =
% 1.40/0.83 (ap @ Y1 @ Y3))) =>
% 1.40/0.83 (((Y2) = (Y3)))))))))))))))))),
% 1.40/0.83 inference('rw_clause', [status(thm)], [zip_derived_cl2, '3'])).
% 1.40/0.83 thf(zip_derived_cl6, plain,
% 1.40/0.83 ( (((!!) @ ((('#B') @ (!!) @
% 1.40/0.83 ((('#B') @ ((('#B') @ (!!))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#C') @
% 1.40/0.83 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ ('#S'))))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ (
% 1.40/0.83 (('#B') @ (=>))))))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#B') @
% 1.40/0.83 ((('#B') @ ('#C') @
% 1.40/0.83 ((('#B') @ ((('#B') @ (
% 1.40/0.83 '#B'))) @
% 1.40/0.83 ((('#B') @ (
% 1.40/0.83 (('#B') @ (=))) @
% 1.40/0.83 ap)))))))) @
% 1.40/0.83 ap)))))))))) @
% 1.40/0.83 (=)))))))))))),
% 1.40/0.83 inference('comb-normalize', [status(thm)], [zip_derived_cl4])).
% 1.40/0.83 thf(zip_derived_cl7, plain,
% 1.40/0.83 (![X2 : term]:
% 1.40/0.83 (((!!) @ ((('#B') @ (!!) @
% 1.40/0.83 ((('#B') @ ((('#B') @ (!!))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#S') @
% 1.40/0.83 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.40/0.83 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @
% 1.40/0.83 ((('#B') @ ((('#C') @ ((('#B') @ (
% 1.40/0.83 '#B') @
% 1.40/0.83 ((('#B') @ (
% 1.40/0.83 =) @
% 1.40/0.83 (ap @ X2))))))) @
% 1.40/0.83 ap)))))))) @
% 1.40/0.83 (=)))))))))),
% 1.40/0.83 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
% 1.40/0.83 thf(zip_derived_cl10, plain,
% 1.40/0.83 (![X2 : term, X4 : term]:
% 1.40/0.83 (((!!) @ ((('#B') @ (!!) @
% 1.40/0.83 ((('#S') @ ((('#B') @ ('#S') @
% 1.40/0.83 ((('#B') @ ((('#B') @ (=>))) @
% 1.40/0.83 ((('#C') @ ((('#B') @ ('#B') @
% 1.40/0.83 ((('#B') @ (=) @ (ap @ X2))))) @
% 1.40/0.83 (ap @ X4))))))) @
% 1.40/0.83 (=)))))))),
% 1.40/0.83 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
% 1.40/0.83 thf(zip_derived_cl12, plain,
% 1.40/0.83 (![X2 : term, X4 : term, X6 : term]:
% 1.40/0.83 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.40/0.83 ((('#B') @ (((term) = (ap @ X2 @ X6))) @
% 1.40/0.83 (ap @ X4))))) @
% 1.40/0.83 (((term) = (X6)))))))),
% 1.40/0.83 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
% 1.40/0.83 thf(zip_derived_cl14, plain,
% 1.40/0.83 (![X2 : term, X4 : term, X6 : term, X8 : term]:
% 1.40/0.83 (((((ap @ X2 @ X6) = (ap @ X4 @ X8))) => (((X6) = (X8)))))),
% 1.40/0.83 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])).
% 1.40/0.83 thf(zip_derived_cl17, plain,
% 1.40/0.83 (![X2 : term, X4 : term, X6 : term, X8 : term]:
% 1.40/0.83 (~ (((ap @ X2 @ X6) = (ap @ X4 @ X8))) | (((X6) = (X8))))),
% 1.40/0.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])).
% 1.40/0.83 thf(zip_derived_cl21, plain,
% 1.40/0.83 (![X2 : term, X4 : term, X6 : term, X8 : term]:
% 1.40/0.83 (((ap @ X2 @ X6) != (ap @ X4 @ X8)) | ((X6) = (X8)))),
% 1.40/0.83 inference('simplify nested equalities', [status(thm)], [zip_derived_cl17])).
% 1.40/0.83 thf(zip_derived_cl33, plain,
% 1.40/0.83 (![X0 : term, X1 : term]:
% 1.40/0.83 (((ap @ (sub @ '#sk1' @ id) @ '#sk3') != (ap @ X1 @ X0))
% 1.40/0.83 | (('#sk4') = (X0)))),
% 1.40/0.83 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl21])).
% 1.40/0.83 thf(zip_derived_cl50, plain, ((('#sk4') = ('#sk3'))),
% 1.40/0.83 inference('eq_res', [status(thm)], [zip_derived_cl33])).
% 1.40/0.83 thf(zip_derived_cl20, plain, (~ ((('#sk3') = ('#sk4')))),
% 1.40/0.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 1.40/0.83 thf(zip_derived_cl23, plain, ((('#sk3') != ('#sk4'))),
% 1.40/0.83 inference('simplify nested equalities', [status(thm)], [zip_derived_cl20])).
% 1.40/0.83 thf(zip_derived_cl51, plain, ($false),
% 1.40/0.83 inference('simplify_reflect-', [status(thm)],
% 1.40/0.83 [zip_derived_cl50, zip_derived_cl23])).
% 1.40/0.83
% 1.40/0.83 % SZS output end Refutation
% 1.40/0.83
% 1.40/0.83
% 1.40/0.84 % Terminating...
% 2.02/0.95 % Runner terminated.
% 2.02/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------