TSTP Solution File: ALG259^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG259^1 : 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.rT0Y2fFwcQ 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 17:12:32 EDT 2023
% Result : Theorem 1.58s 0.98s
% Output : Refutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG259^1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rT0Y2fFwcQ true
% 0.14/0.34 % Computer : n026.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 04:51:19 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.14/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.14/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.14/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.14/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.14/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.14/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.14/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.58/0.98 % Solved by lams/30_b.l.sh.
% 1.58/0.98 % done 0 iterations in 0.105s
% 1.58/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.58/0.98 % SZS output start Refutation
% 1.58/0.98 thf(subst_type, type, subst: $tType).
% 1.58/0.98 thf(term_type, type, term: $tType).
% 1.58/0.98 thf(axmap_type, type, axmap: $o).
% 1.58/0.98 thf(axclos_type, type, axclos: $o).
% 1.58/0.98 thf(lam_type, type, lam: term > term).
% 1.58/0.98 thf(lamnotap_type, type, lamnotap: $o).
% 1.58/0.98 thf(axvarcons_type, type, axvarcons: $o).
% 1.58/0.98 thf(substmonoid_type, type, substmonoid: $o).
% 1.58/0.98 thf(push_type, type, push: term > subst > subst).
% 1.58/0.98 thf(axshiftcons_type, type, axshiftcons: $o).
% 1.58/0.98 thf(hoasapinj1_type, type, hoasapinj1: $o).
% 1.58/0.98 thf(axapp_type, type, axapp: $o).
% 1.58/0.98 thf(shinj_type, type, shinj: $o).
% 1.58/0.98 thf(hoasap_type, type, hoasap: subst > term > subst > term > term).
% 1.58/0.98 thf(hoaslaminj_type, type, hoaslaminj: $o).
% 1.58/0.98 thf(one_type, type, one: term).
% 1.58/0.98 thf(id_type, type, id: subst).
% 1.58/0.98 thf(comp_type, type, comp: subst > subst > subst).
% 1.58/0.98 thf(hoaslamnotap_type, type, hoaslamnotap: $o).
% 1.58/0.98 thf(induction2_type, type, induction2: $o).
% 1.58/0.98 thf(axvarid_type, type, axvarid: $o).
% 1.58/0.98 thf(axvarshift_type, type, axvarshift: $o).
% 1.58/0.98 thf(hoaslamnotap_gthm_type, type, hoaslamnotap_gthm: $o).
% 1.58/0.98 thf(induction2lem_type, type, induction2lem: $o).
% 1.58/0.98 thf(sh_type, type, sh: subst).
% 1.58/0.98 thf(laminj_type, type, laminj: $o).
% 1.58/0.98 thf(ulamvarind_type, type, ulamvarind: $o).
% 1.58/0.98 thf(apinj2_type, type, apinj2: $o).
% 1.58/0.98 thf(ulamvarsh_type, type, ulamvarsh: $o).
% 1.58/0.98 thf('#sk367_type', type, '#sk367': term).
% 1.58/0.98 thf(lamnotvar_type, type, lamnotvar: $o).
% 1.58/0.98 thf(apnotvar_type, type, apnotvar: $o).
% 1.58/0.98 thf('#sk283_type', type, '#sk283': subst > term > term).
% 1.58/0.98 thf(pushprop_type, type, pushprop: $o).
% 1.58/0.98 thf(sub_type, type, sub: term > subst > term).
% 1.58/0.98 thf(apinj1_type, type, apinj1: $o).
% 1.58/0.98 thf(axidl_type, type, axidl: $o).
% 1.58/0.98 thf(ap_type, type, ap: term > term > term).
% 1.58/0.98 thf(termmset_type, type, termmset: $o).
% 1.58/0.98 thf(hoasapinj2_type, type, hoasapinj2: $o).
% 1.58/0.98 thf(var_type, type, var: term > $o).
% 1.58/0.98 thf(axassoc_type, type, axassoc: $o).
% 1.58/0.98 thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term).
% 1.58/0.98 thf('#sk399_type', type, '#sk399': term).
% 1.58/0.98 thf(axidr_type, type, axidr: $o).
% 1.58/0.98 thf(axabs_type, type, axabs: $o).
% 1.58/0.98 thf(ulamvar1_type, type, ulamvar1: $o).
% 1.58/0.98 thf(induction_type, type, induction: $o).
% 1.58/0.98 thf(axscons_type, type, axscons: $o).
% 1.58/0.98 thf(thm, conjecture, (hoaslamnotap_gthm)).
% 1.58/0.98 thf(zf_stmt_0, negated_conjecture, (~( hoaslamnotap_gthm )),
% 1.58/0.98 inference('cnf.neg', [status(esa)], [thm])).
% 1.58/0.98 thf(zip_derived_cl0, plain, (~ (hoaslamnotap_gthm)),
% 1.58/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.58/0.98 thf(hoaslamnotap_gthm, axiom, ~ (hoaslamnotap_gthm) =>
% 1.58/0.98 ((((axapp) =>
% 1.58/0.98 (((axvarcons) =>
% 1.58/0.98 (((axvarid) =>
% 1.58/0.98 (((axabs) =>
% 1.58/0.98 (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((axvarshift) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((ulamvar1) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.58/0.98 != ($true))).
% 1.58/0.98 thf('0', plain,
% 1.58/0.98 (( ~( hoaslamnotap_gthm ) ) <=>
% 1.58/0.98 ( ~( ( axapp ) =>
% 1.58/0.98 ( ( axvarcons ) =>
% 1.58/0.98 ( ( axvarid ) =>
% 1.58/0.98 ( ( axabs ) =>
% 1.58/0.98 ( ( axclos ) =>
% 1.58/0.98 ( ( axidl ) =>
% 1.58/0.98 ( ( axshiftcons ) =>
% 1.58/0.98 ( ( axassoc ) =>
% 1.58/0.98 ( ( axmap ) =>
% 1.58/0.98 ( ( axidr ) =>
% 1.58/0.98 ( ( axvarshift ) =>
% 1.58/0.98 ( ( axscons ) =>
% 1.58/0.98 ( ( ulamvar1 ) =>
% 1.58/0.98 ( ( ulamvarsh ) =>
% 1.58/0.98 ( ( ulamvarind ) =>
% 1.58/0.98 ( ( apinj1 ) =>
% 1.58/0.98 ( ( apinj2 ) =>
% 1.58/0.98 ( ( laminj ) =>
% 1.58/0.98 ( ( shinj ) =>
% 1.58/0.98 ( ( lamnotap ) =>
% 1.58/0.98 ( ( apnotvar ) =>
% 1.58/0.98 ( ( lamnotvar ) =>
% 1.58/0.98 ( ( induction ) =>
% 1.58/0.98 ( ( pushprop ) =>
% 1.58/0.98 ( ( induction2lem ) =>
% 1.58/0.98 ( ( induction2 ) =>
% 1.58/0.98 ( ( substmonoid ) =>
% 1.58/0.98 ( ( termmset ) =>
% 1.58/0.98 ( ( hoasapinj1 ) =>
% 1.58/0.98 ( (
% 1.58/0.98 hoasapinj2 ) =>
% 1.58/0.98 (
% 1.58/0.98 (
% 1.58/0.98 hoaslaminj ) =>
% 1.58/0.98 (
% 1.58/0.98 hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 1.58/0.98 inference('rw.lit', [status(esa)], [hoaslamnotap_gthm])).
% 1.58/0.98 thf(zip_derived_cl1, plain,
% 1.58/0.98 (~ (((axapp) =>
% 1.58/0.98 (((axvarcons) =>
% 1.58/0.98 (((axvarid) =>
% 1.58/0.98 (((axabs) =>
% 1.58/0.98 (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((axvarshift) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((ulamvar1) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 ((
% 1.58/0.98 (hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 1.58/0.98 thf(axvarshift, axiom,(( axvarshift ) = ((((push @ one @ sh) = (id)))))).
% 1.58/0.98 thf('1', plain, (( axvarshift ) = ( ( push @ one @ sh ) = ( id ) )),
% 1.58/0.98 define([status(thm)])).
% 1.58/0.98 thf(ulamvar1, axiom,(( ulamvar1 ) = ((var @ one)))).
% 1.58/0.98 thf('2', plain, (( ulamvar1 ) = ( var @ one )), define([status(thm)])).
% 1.58/0.98 thf(zip_derived_cl2, plain,
% 1.58/0.98 (~ (((axapp) =>
% 1.58/0.98 (((axvarcons) =>
% 1.58/0.98 (((axvarid) =>
% 1.58/0.98 (((axabs) =>
% 1.58/0.98 (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 ((
% 1.58/0.98 (hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('rw', [status(thm)], [zip_derived_cl1, '1', '2'])).
% 1.58/0.98 thf(zip_derived_cl4, plain,
% 1.58/0.98 (~ (((axvarcons) =>
% 1.58/0.98 (((axvarid) =>
% 1.58/0.98 (((axabs) =>
% 1.58/0.98 (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 1.58/0.98 thf(zip_derived_cl7, plain,
% 1.58/0.98 (~ (((axvarid) =>
% 1.58/0.98 (((axabs) =>
% 1.58/0.98 (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 1.58/0.98 thf(zip_derived_cl11, plain,
% 1.58/0.98 (~ (((axabs) =>
% 1.58/0.98 (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 1.58/0.98 thf(zip_derived_cl16, plain,
% 1.58/0.98 (~ (((axclos) =>
% 1.58/0.98 (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
% 1.58/0.98 thf(zip_derived_cl22, plain,
% 1.58/0.98 (~ (((axidl) =>
% 1.58/0.98 (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])).
% 1.58/0.98 thf(zip_derived_cl29, plain,
% 1.58/0.98 (~ (((axshiftcons) =>
% 1.58/0.98 (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])).
% 1.58/0.98 thf(zip_derived_cl34, plain,
% 1.58/0.98 (~ (((axassoc) =>
% 1.58/0.98 (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])).
% 1.58/0.98 thf(zip_derived_cl40, plain,
% 1.58/0.98 (~ (((axmap) =>
% 1.58/0.98 (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])).
% 1.58/0.98 thf(zip_derived_cl46, plain,
% 1.58/0.98 (~ (((axidr) =>
% 1.58/0.98 (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
% 1.58/0.98 thf(zip_derived_cl52, plain,
% 1.58/0.98 (~ (((((push @ one @ sh) = (id))) =>
% 1.58/0.98 (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) =>
% 1.58/0.98 (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])).
% 1.58/0.98 thf(zip_derived_cl58, plain,
% 1.58/0.98 (~ (((axscons) =>
% 1.58/0.98 (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])).
% 1.58/0.98 thf(zip_derived_cl64, plain,
% 1.58/0.98 (~ (((var @ one) =>
% 1.58/0.98 (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])).
% 1.58/0.98 thf(zip_derived_cl70, plain,
% 1.58/0.98 (~ (((ulamvarsh) =>
% 1.58/0.98 (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])).
% 1.58/0.98 thf(zip_derived_cl74, plain,
% 1.58/0.98 (~ (((ulamvarind) =>
% 1.58/0.98 (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])).
% 1.58/0.98 thf(zip_derived_cl78, plain,
% 1.58/0.98 (~ (((apinj1) =>
% 1.58/0.98 (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])).
% 1.58/0.98 thf(zip_derived_cl82, plain,
% 1.58/0.98 (~ (((apinj2) =>
% 1.58/0.98 (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])).
% 1.58/0.98 thf(zip_derived_cl87, plain,
% 1.58/0.98 (~ (((laminj) =>
% 1.58/0.98 (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 1.58/0.98 thf(zip_derived_cl92, plain,
% 1.58/0.98 (~ (((shinj) =>
% 1.58/0.98 (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])).
% 1.58/0.98 thf(zip_derived_cl98, plain,
% 1.58/0.98 (~ (((lamnotap) =>
% 1.58/0.98 (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) =>
% 1.58/0.98 (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])).
% 1.58/0.98 thf(zip_derived_cl105, plain,
% 1.58/0.98 (~ (((apnotvar) =>
% 1.58/0.98 (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])).
% 1.58/0.98 thf(zip_derived_cl114, plain,
% 1.58/0.98 (~ (((lamnotvar) =>
% 1.58/0.98 (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])).
% 1.58/0.98 thf(zip_derived_cl125, plain,
% 1.58/0.98 (~ (((induction) =>
% 1.58/0.98 (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])).
% 1.58/0.98 thf(zip_derived_cl137, plain,
% 1.58/0.98 (~ (((pushprop) =>
% 1.58/0.98 (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])).
% 1.58/0.98 thf(zip_derived_cl147, plain,
% 1.58/0.98 (~ (((induction2lem) =>
% 1.58/0.98 (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
% 1.58/0.98 thf(zip_derived_cl152, plain,
% 1.58/0.98 (~ (((induction2) =>
% 1.58/0.98 (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])).
% 1.58/0.98 thf(zip_derived_cl157, plain,
% 1.58/0.98 (~ (((substmonoid) =>
% 1.58/0.98 (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl152])).
% 1.58/0.98 thf(zip_derived_cl163, plain,
% 1.58/0.98 (~ (((termmset) =>
% 1.58/0.98 (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl157])).
% 1.58/0.98 thf(zip_derived_cl171, plain,
% 1.58/0.98 (~ (((hoasapinj1) =>
% 1.58/0.98 (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl163])).
% 1.58/0.98 thf(zip_derived_cl184, plain,
% 1.58/0.98 (~ (((hoasapinj2) => (((hoaslaminj) => (hoaslamnotap)))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 1.58/0.98 thf(zip_derived_cl199, plain, (~ (((hoaslaminj) => (hoaslamnotap)))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl184])).
% 1.58/0.98 thf(zip_derived_cl216, plain, (~ (hoaslamnotap)),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])).
% 1.58/0.98 thf(hoaslamnotap, axiom, ~ (hoaslamnotap) =>
% 1.58/0.98 ((((!!) @ (^[Y0 : subst > term > term]:
% 1.58/0.98 (((((!!) @ (^[Y1 : subst]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((!!) @ (^[Y3 : subst]:
% 1.58/0.98 (((sub @
% 1.58/0.98 (Y0 @ Y1 @ Y2) @ Y3) =
% 1.58/0.98 (Y0 @
% 1.58/0.98 (comp @ Y1 @ Y3) @
% 1.58/0.98 (sub @ Y2 @ Y3))))))))))))) =>
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((hoaslam @ id @
% 1.58/0.98 (^[Y3 : subst,Y4 : term]:
% 1.58/0.98 (Y0 @ Y3 @ Y4))) !=
% 1.58/0.98 (hoasap @ id @ Y1 @ id @ Y2))))))))))))))
% 1.58/0.98 != ($true))).
% 1.58/0.98 thf('3', plain,
% 1.58/0.98 (( ~( hoaslamnotap ) ) <=>
% 1.58/0.98 ( ~( ![X5:( subst > term > term )]:
% 1.58/0.98 ( ( ![X7:subst,X9:term,X11:subst]:
% 1.58/0.98 ( ( sub @ ( X5 @ X7 @ X9 ) @ X11 ) =
% 1.58/0.98 ( X5 @ ( comp @ X7 @ X11 ) @ ( sub @ X9 @ X11 ) ) ) ) =>
% 1.58/0.98 ( ![X13:term,X15:term]:
% 1.58/0.98 ( ( hoaslam @
% 1.58/0.98 id @ ( ^[V_1:subst,V_2:term]: ( X5 @ V_1 @ V_2 ) ) ) !=
% 1.58/0.98 ( hoasap @ id @ X13 @ id @ X15 ) ) ) ) ) )),
% 1.58/0.98 inference('rw.lit', [status(esa)], [hoaslamnotap])).
% 1.58/0.98 thf(zip_derived_cl233, plain,
% 1.58/0.98 (~ (((!!) @ (^[Y0 : subst > term > term]:
% 1.58/0.98 (((((!!) @ (^[Y1 : subst]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((!!) @ (^[Y3 : subst]:
% 1.58/0.98 (((sub @
% 1.58/0.98 (Y0 @ Y1 @ Y2) @
% 1.58/0.98 Y3) = (Y0 @
% 1.58/0.98 (comp @ Y1 @ Y3) @
% 1.58/0.98 (sub @ Y2 @ Y3))))))))))))) =>
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((hoaslam @ id @
% 1.58/0.98 (^[Y3 : subst,Y4 : term]:
% 1.58/0.98 (Y0 @ Y3 @ Y4))) !=
% 1.58/0.98 (hoasap @ id @ Y1 @ id @ Y2))))))))))))))),
% 1.58/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl216, '3'])).
% 1.58/0.98 thf(zip_derived_cl247, plain,
% 1.58/0.98 (~ (((!!) @ (^[Y0 : subst > term > term]:
% 1.58/0.98 (((((!!) @ (^[Y1 : subst]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((!!) @ (^[Y3 : subst]:
% 1.58/0.98 (((sub @
% 1.58/0.98 (Y0 @ Y1 @ Y2) @
% 1.58/0.98 Y3) = (Y0 @
% 1.58/0.98 (comp @ Y1 @ Y3) @
% 1.58/0.98 (sub @ Y2 @ Y3))))))))))))) =>
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((hoaslam @ id @ Y0) !=
% 1.58/0.98 (hoasap @ id @ Y1 @ id @ Y2))))))))))))))),
% 1.58/0.98 inference('ho_norm', [status(thm)], [zip_derived_cl233])).
% 1.58/0.98 thf(zip_derived_cl248, plain,
% 1.58/0.98 (~ (((((!!) @ (^[Y0 : subst]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : subst]:
% 1.58/0.98 (((sub @ ('#sk283' @ Y0 @ Y1) @
% 1.58/0.98 Y2) = ('#sk283' @
% 1.58/0.98 (comp @ Y0 @ Y2) @
% 1.58/0.98 (sub @ Y1 @ Y2))))))))))))) =>
% 1.58/0.98 (((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((hoaslam @ id @ '#sk283') != (hoasap @
% 1.58/0.98 id @ Y0 @ id @ Y1)))))))))))),
% 1.58/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl247])).
% 1.58/0.98 thf(hoaslam, axiom,(( hoaslam @ (X1)@ (X0)) = ((lam @ (X0 @ sh @ one))))).
% 1.58/0.98 thf('4', plain,
% 1.58/0.98 (![X1:subst,X0:( subst > term > term )]:
% 1.58/0.98 ( ( hoaslam @ X1 @ X0 ) = ( lam @ ( X0 @ sh @ one ) ) )),
% 1.58/0.98 define([status(thm)])).
% 1.58/0.98 thf(zip_derived_cl264, plain,
% 1.58/0.98 (~ (((((!!) @ (^[Y0 : subst]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : subst]:
% 1.58/0.98 (((sub @ ('#sk283' @ Y0 @ Y1) @
% 1.58/0.98 Y2) = ('#sk283' @
% 1.58/0.98 (comp @ Y0 @ Y2) @
% 1.58/0.98 (sub @ Y1 @ Y2))))))))))))) =>
% 1.58/0.98 (((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((lam @ ('#sk283' @ sh @ one)) !=
% 1.58/0.98 (hoasap @ id @ Y0 @ id @ Y1)))))))))))),
% 1.58/0.98 inference('rw', [status(thm)], [zip_derived_cl248, '4'])).
% 1.58/0.98 thf(zip_derived_cl266, plain,
% 1.58/0.98 (~ (((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((lam @ ('#sk283' @ sh @ one)) != (hoasap @
% 1.58/0.98 id @ Y0 @ id @ Y1)))))))))),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl264])).
% 1.58/0.98 thf(zip_derived_cl278, plain,
% 1.58/0.98 (~ (((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((lam @ ('#sk283' @ sh @ one)) != (hoasap @ id @
% 1.58/0.98 '#sk367' @ id @ Y0))))))),
% 1.58/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl266])).
% 1.58/0.98 thf(zip_derived_cl288, plain,
% 1.58/0.98 (~ (((lam @ ('#sk283' @ sh @ one)) != (hoasap @ id @ '#sk367' @ id @
% 1.58/0.98 '#sk399')))),
% 1.58/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl278])).
% 1.58/0.98 thf(zip_derived_cl295, plain,
% 1.58/0.98 (((lam @ ('#sk283' @ sh @ one))
% 1.58/0.98 = (hoasap @ id @ '#sk367' @ id @ '#sk399'))),
% 1.58/0.98 inference('simplify nested equalities', [status(thm)],
% 1.58/0.98 [zip_derived_cl288])).
% 1.58/0.98 thf(hoasap, axiom,(( hoasap @ (X3)@ (X0)@ (X1)@ (X2)) =
% 1.58/0.98 ((ap @ (sub @ X0 @ X1) @ X2)))).
% 1.58/0.98 thf('5', plain,
% 1.58/0.98 (![X3:subst,X2:term,X1:subst,X0:term]:
% 1.58/0.98 ( ( hoasap @ X3 @ X0 @ X1 @ X2 ) = ( ap @ ( sub @ X0 @ X1 ) @ X2 ) )),
% 1.58/0.98 define([status(thm)])).
% 1.58/0.98 thf(zip_derived_cl296, plain,
% 1.58/0.98 (((lam @ ('#sk283' @ sh @ one)) = (ap @ (sub @ '#sk367' @ id) @ '#sk399'))),
% 1.58/0.98 inference('rw', [status(thm)], [zip_derived_cl295, '5'])).
% 1.58/0.98 thf(zip_derived_cl10, plain, ( (axvarid)),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 1.58/0.98 thf(axvarid, axiom, (axvarid) =>
% 1.58/0.98 ((((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0)))))) = ($true))).
% 1.58/0.98 thf('6', plain,
% 1.58/0.98 (( axvarid ) <=> ( ![X5:term]: ( ( sub @ X5 @ id ) = ( X5 ) ) )),
% 1.58/0.98 inference('rw.lit', [status(esa)], [axvarid])).
% 1.58/0.98 thf(zip_derived_cl14, plain,
% 1.58/0.98 ( (((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0))))))),
% 1.58/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl10, '6'])).
% 1.58/0.98 thf(zip_derived_cl19, plain, (![X2 : term]: (((sub @ X2 @ id) = (X2)))),
% 1.58/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 1.58/0.98 thf(zip_derived_cl25, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 1.58/0.98 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 1.58/0.98 thf(zip_derived_cl318, plain,
% 1.58/0.98 (((lam @ ('#sk283' @ sh @ one)) = (ap @ '#sk367' @ '#sk399'))),
% 1.58/0.98 inference('demod', [status(thm)], [zip_derived_cl296, zip_derived_cl25])).
% 1.58/0.98 thf(zip_derived_cl104, plain, ( (lamnotap)),
% 1.58/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])).
% 1.58/0.98 thf(lamnotap, axiom, (lamnotap) =>
% 1.58/0.98 ((((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((lam @ Y0) != (ap @ Y1 @ Y2))))))))))))
% 1.58/0.98 = ($true))).
% 1.58/0.98 thf('7', plain,
% 1.58/0.98 (( lamnotap ) <=>
% 1.58/0.98 ( ![X5:term,X7:term,X9:term]: ( ( lam @ X5 ) != ( ap @ X7 @ X9 ) ) )),
% 1.58/0.98 inference('rw.lit', [status(esa)], [lamnotap])).
% 1.58/0.98 thf(zip_derived_cl112, plain,
% 1.58/0.98 ( (((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]:
% 1.58/0.98 (((!!) @ (^[Y2 : term]:
% 1.58/0.98 (((lam @ Y0) != (ap @ Y1 @ Y2))))))))))))),
% 1.58/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl104, '7'])).
% 1.58/0.98 thf(zip_derived_cl122, plain,
% 1.58/0.98 (![X2 : term]:
% 1.58/0.98 (((!!) @ (^[Y0 : term]:
% 1.58/0.98 (((!!) @ (^[Y1 : term]: (((lam @ X2) != (ap @ Y0 @ Y1)))))))))),
% 1.58/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl112])).
% 1.58/0.98 thf(zip_derived_cl133, plain,
% 1.58/0.98 (![X2 : term, X4 : term]:
% 1.58/0.98 (((!!) @ (^[Y0 : term]: (((lam @ X2) != (ap @ X4 @ Y0))))))),
% 1.58/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl122])).
% 1.58/0.98 thf(zip_derived_cl142, plain,
% 1.58/0.98 (![X2 : term, X4 : term, X6 : term]: (((lam @ X2) != (ap @ X4 @ X6)))),
% 1.58/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl133])).
% 1.58/0.98 thf(zip_derived_cl148, plain,
% 1.58/0.98 (![X2 : term, X4 : term, X6 : term]: ((lam @ X2) != (ap @ X4 @ X6))),
% 1.58/0.98 inference('simplify nested equalities', [status(thm)],
% 1.58/0.98 [zip_derived_cl142])).
% 1.58/0.98 thf(zip_derived_cl319, plain, ($false),
% 1.58/0.98 inference('simplify_reflect-', [status(thm)],
% 1.58/0.98 [zip_derived_cl318, zip_derived_cl148])).
% 1.58/0.98
% 1.58/0.98 % SZS output end Refutation
% 1.58/0.98
% 1.58/0.98
% 1.58/0.98 % Terminating...
% 1.93/1.18 % Runner terminated.
% 2.76/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------