%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG260^1 : 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.RiMgB9eTCO true
% Computer : n031.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 04:28:29 PM UTC 2025
% Result : Theorem 0.58s 0.97s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG260^1 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RiMgB9eTCO true
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 17:01:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.97 % Solved by lams/30_b.l.sh.
% 0.58/0.97 % done 0 iterations in 0.123s
% 0.58/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.97 % SZS output start Refutation
% 0.58/0.97 thf(subst_type, type, subst: $tType).
% 0.58/0.97 thf(term_type, type, term: $tType).
% 0.58/0.97 thf(axmap_type, type, axmap: $o).
% 0.58/0.97 thf(axclos_type, type, axclos: $o).
% 0.58/0.97 thf(lam_type, type, lam: term > term).
% 0.58/0.97 thf(lamnotap_type, type, lamnotap: $o).
% 0.58/0.97 thf(hoaslamnotvar_gthm_type, type, hoaslamnotvar_gthm: $o).
% 0.58/0.97 thf(axvarcons_type, type, axvarcons: $o).
% 0.58/0.97 thf(substmonoid_type, type, substmonoid: $o).
% 0.58/0.97 thf(push_type, type, push: term > subst > subst).
% 0.58/0.97 thf(axshiftcons_type, type, axshiftcons: $o).
% 0.58/0.97 thf(hoasapinj1_type, type, hoasapinj1: $o).
% 0.58/0.97 thf(axapp_type, type, axapp: $o).
% 0.58/0.97 thf(shinj_type, type, shinj: $o).
% 0.58/0.97 thf(hoaslaminj_type, type, hoaslaminj: $o).
% 0.58/0.97 thf(one_type, type, one: term).
% 0.58/0.97 thf(id_type, type, id: subst).
% 0.58/0.97 thf(comp_type, type, comp: subst > subst > subst).
% 0.58/0.97 thf(hoaslamnotap_type, type, hoaslamnotap: $o).
% 0.58/0.97 thf(induction2_type, type, induction2: $o).
% 0.58/0.97 thf(axvarid_type, type, axvarid: $o).
% 0.58/0.97 thf(axvarshift_type, type, axvarshift: $o).
% 0.58/0.97 thf(induction2lem_type, type, induction2lem: $o).
% 0.58/0.97 thf(sh_type, type, sh: subst).
% 0.58/0.97 thf(laminj_type, type, laminj: $o).
% 0.58/0.97 thf(ulamvarind_type, type, ulamvarind: $o).
% 0.58/0.97 thf(apinj2_type, type, apinj2: $o).
% 0.58/0.97 thf(ulamvarsh_type, type, ulamvarsh: $o).
% 0.58/0.97 thf(lamnotvar_type, type, lamnotvar: $o).
% 0.58/0.97 thf(apnotvar_type, type, apnotvar: $o).
% 0.58/0.97 thf(pushprop_type, type, pushprop: $o).
% 0.58/0.97 thf(sub_type, type, sub: term > subst > term).
% 0.58/0.97 thf(apinj1_type, type, apinj1: $o).
% 0.58/0.97 thf(axidl_type, type, axidl: $o).
% 0.58/0.97 thf(termmset_type, type, termmset: $o).
% 0.58/0.97 thf(hoasapinj2_type, type, hoasapinj2: $o).
% 0.58/0.97 thf(var_type, type, var: term > $o).
% 0.58/0.97 thf(axassoc_type, type, axassoc: $o).
% 0.58/0.97 thf(hoaslamnotvar_type, type, hoaslamnotvar: $o).
% 0.58/0.97 thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term).
% 0.58/0.97 thf(axidr_type, type, axidr: $o).
% 0.58/0.97 thf('#sk329_type', type, '#sk329': subst > term > term).
% 0.58/0.97 thf(axabs_type, type, axabs: $o).
% 0.58/0.97 thf(hoasvar_type, type, hoasvar: subst > term > subst > $o).
% 0.58/0.97 thf(ulamvar1_type, type, ulamvar1: $o).
% 0.58/0.97 thf(induction_type, type, induction: $o).
% 0.58/0.97 thf(axscons_type, type, axscons: $o).
% 0.58/0.97 thf(thm, conjecture, (hoaslamnotvar_gthm)).
% 0.58/0.97 thf(zf_stmt_0, negated_conjecture, (~( hoaslamnotvar_gthm )),
% 0.58/0.97 inference('cnf.neg', [status(esa)], [thm])).
% 0.58/0.97 thf(zip_derived_cl0, plain, (~ (hoaslamnotvar_gthm)),
% 0.58/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.97 thf(hoaslamnotvar_gthm, axiom, ~ (hoaslamnotvar_gthm) =>
% 0.58/0.97 ((((axapp) =>
% 0.58/0.97 (((axvarcons) =>
% 0.58/0.97 (((axvarid) =>
% 0.58/0.97 (((axabs) =>
% 0.58/0.97 (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((axvarshift) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((ulamvar1) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.58/0.97 != ($true))).
% 0.58/0.97 thf('0', plain,
% 0.58/0.97 (( ~( hoaslamnotvar_gthm ) ) <=>
% 0.58/0.97 ( ~( ( axapp ) =>
% 0.58/0.97 ( ( axvarcons ) =>
% 0.58/0.97 ( ( axvarid ) =>
% 0.58/0.97 ( ( axabs ) =>
% 0.58/0.97 ( ( axclos ) =>
% 0.58/0.97 ( ( axidl ) =>
% 0.58/0.97 ( ( axshiftcons ) =>
% 0.58/0.97 ( ( axassoc ) =>
% 0.58/0.97 ( ( axmap ) =>
% 0.58/0.97 ( ( axidr ) =>
% 0.58/0.97 ( ( axvarshift ) =>
% 0.58/0.97 ( ( axscons ) =>
% 0.58/0.97 ( ( ulamvar1 ) =>
% 0.58/0.97 ( ( ulamvarsh ) =>
% 0.58/0.97 ( ( ulamvarind ) =>
% 0.58/0.97 ( ( apinj1 ) =>
% 0.58/0.97 ( ( apinj2 ) =>
% 0.58/0.97 ( ( laminj ) =>
% 0.58/0.97 ( ( shinj ) =>
% 0.58/0.97 ( ( lamnotap ) =>
% 0.58/0.97 ( ( apnotvar ) =>
% 0.58/0.97 ( ( lamnotvar ) =>
% 0.58/0.97 ( ( induction ) =>
% 0.58/0.97 ( ( pushprop ) =>
% 0.58/0.97 ( ( induction2lem ) =>
% 0.58/0.97 ( ( induction2 ) =>
% 0.58/0.97 ( ( substmonoid ) =>
% 0.58/0.97 ( ( termmset ) =>
% 0.58/0.97 ( ( hoasapinj1 ) =>
% 0.58/0.97 ( (
% 0.58/0.97 hoasapinj2 ) =>
% 0.58/0.97 (
% 0.58/0.97 (
% 0.58/0.97 hoaslaminj ) =>
% 0.58/0.97 (
% 0.58/0.97 (
% 0.58/0.97 hoaslamnotap ) =>
% 0.58/0.97 (
% 0.58/0.97 hoaslamnotvar ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.58/0.97 inference('rw.lit', [status(esa)], [hoaslamnotvar_gthm])).
% 0.58/0.97 thf(zip_derived_cl1, plain,
% 0.58/0.97 (~ (((axapp) =>
% 0.58/0.97 (((axvarcons) =>
% 0.58/0.97 (((axvarid) =>
% 0.58/0.97 (((axabs) =>
% 0.58/0.97 (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((axvarshift) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((ulamvar1) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 ((
% 0.58/0.97 (hoaslaminj) =>
% 0.58/0.97 ((
% 0.58/0.97 (hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 0.58/0.97 thf(axvarshift, axiom,(( axvarshift ) = ((((push @ one @ sh) = (id)))))).
% 0.58/0.97 thf('1', plain, (( axvarshift ) = ( ( push @ one @ sh ) = ( id ) )),
% 0.58/0.97 define([status(thm)])).
% 0.58/0.97 thf(ulamvar1, axiom,(( ulamvar1 ) = ((var @ one)))).
% 0.58/0.97 thf('2', plain, (( ulamvar1 ) = ( var @ one )), define([status(thm)])).
% 0.58/0.97 thf(zip_derived_cl2, plain,
% 0.58/0.97 (~ (((axapp) =>
% 0.58/0.97 (((axvarcons) =>
% 0.58/0.97 (((axvarid) =>
% 0.58/0.97 (((axabs) =>
% 0.58/0.97 (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 ((
% 0.58/0.97 (hoaslaminj) =>
% 0.58/0.97 ((
% 0.58/0.97 (hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('rw', [status(thm)], [zip_derived_cl1, '1', '2'])).
% 0.58/0.97 thf(zip_derived_cl4, plain,
% 0.58/0.97 (~ (((axvarcons) =>
% 0.58/0.97 (((axvarid) =>
% 0.58/0.97 (((axabs) =>
% 0.58/0.97 (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 ((
% 0.58/0.97 (hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 0.58/0.97 thf(zip_derived_cl7, plain,
% 0.58/0.97 (~ (((axvarid) =>
% 0.58/0.97 (((axabs) =>
% 0.58/0.97 (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 0.58/0.97 thf(zip_derived_cl11, plain,
% 0.58/0.97 (~ (((axabs) =>
% 0.58/0.97 (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.58/0.97 thf(zip_derived_cl16, plain,
% 0.58/0.97 (~ (((axclos) =>
% 0.58/0.97 (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
% 0.58/0.97 thf(zip_derived_cl22, plain,
% 0.58/0.97 (~ (((axidl) =>
% 0.58/0.97 (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])).
% 0.58/0.97 thf(zip_derived_cl29, plain,
% 0.58/0.97 (~ (((axshiftcons) =>
% 0.58/0.97 (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])).
% 0.58/0.97 thf(zip_derived_cl34, plain,
% 0.58/0.97 (~ (((axassoc) =>
% 0.58/0.97 (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])).
% 0.58/0.97 thf(zip_derived_cl40, plain,
% 0.58/0.97 (~ (((axmap) =>
% 0.58/0.97 (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])).
% 0.58/0.97 thf(zip_derived_cl46, plain,
% 0.58/0.97 (~ (((axidr) =>
% 0.58/0.97 (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
% 0.58/0.97 thf(zip_derived_cl52, plain,
% 0.58/0.97 (~ (((((push @ one @ sh) = (id))) =>
% 0.58/0.97 (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])).
% 0.58/0.97 thf(zip_derived_cl58, plain,
% 0.58/0.97 (~ (((axscons) =>
% 0.58/0.97 (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])).
% 0.58/0.97 thf(zip_derived_cl64, plain,
% 0.58/0.97 (~ (((var @ one) =>
% 0.58/0.97 (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])).
% 0.58/0.97 thf(zip_derived_cl70, plain,
% 0.58/0.97 (~ (((ulamvarsh) =>
% 0.58/0.97 (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) =>
% 0.58/0.97 (hoaslamnotvar)))))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])).
% 0.58/0.97 thf(zip_derived_cl74, plain,
% 0.58/0.97 (~ (((ulamvarind) =>
% 0.58/0.97 (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])).
% 0.58/0.97 thf(zip_derived_cl78, plain,
% 0.58/0.97 (~ (((apinj1) =>
% 0.58/0.97 (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])).
% 0.58/0.97 thf(zip_derived_cl82, plain,
% 0.58/0.97 (~ (((apinj2) =>
% 0.58/0.97 (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])).
% 0.58/0.97 thf(zip_derived_cl87, plain,
% 0.58/0.97 (~ (((laminj) =>
% 0.58/0.97 (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 0.58/0.97 thf(zip_derived_cl92, plain,
% 0.58/0.97 (~ (((shinj) =>
% 0.58/0.97 (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])).
% 0.58/0.97 thf(zip_derived_cl98, plain,
% 0.58/0.97 (~ (((lamnotap) =>
% 0.58/0.97 (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])).
% 0.58/0.97 thf(zip_derived_cl105, plain,
% 0.58/0.97 (~ (((apnotvar) =>
% 0.58/0.97 (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])).
% 0.58/0.97 thf(zip_derived_cl114, plain,
% 0.58/0.97 (~ (((lamnotvar) =>
% 0.58/0.97 (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])).
% 0.58/0.97 thf(zip_derived_cl125, plain,
% 0.58/0.97 (~ (((induction) =>
% 0.58/0.97 (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) =>
% 0.58/0.97 (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])).
% 0.58/0.97 thf(zip_derived_cl137, plain,
% 0.58/0.97 (~ (((pushprop) =>
% 0.58/0.97 (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])).
% 0.58/0.97 thf(zip_derived_cl147, plain,
% 0.58/0.97 (~ (((induction2lem) =>
% 0.58/0.97 (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
% 0.58/0.97 thf(zip_derived_cl152, plain,
% 0.58/0.97 (~ (((induction2) =>
% 0.58/0.97 (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])).
% 0.58/0.97 thf(zip_derived_cl157, plain,
% 0.58/0.97 (~ (((substmonoid) =>
% 0.58/0.97 (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl152])).
% 0.58/0.97 thf(zip_derived_cl163, plain,
% 0.58/0.97 (~ (((termmset) =>
% 0.58/0.97 (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl157])).
% 0.58/0.97 thf(zip_derived_cl171, plain,
% 0.58/0.97 (~ (((hoasapinj1) =>
% 0.58/0.97 (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl163])).
% 0.58/0.97 thf(zip_derived_cl184, plain,
% 0.58/0.97 (~ (((hoasapinj2) =>
% 0.58/0.97 (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 0.58/0.97 thf(zip_derived_cl199, plain,
% 0.58/0.97 (~ (((hoaslaminj) => (((hoaslamnotap) => (hoaslamnotvar)))))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl184])).
% 0.58/0.97 thf(zip_derived_cl216, plain, (~ (((hoaslamnotap) => (hoaslamnotvar)))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])).
% 0.58/0.97 thf(zip_derived_cl234, plain, (~ (hoaslamnotvar)),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl216])).
% 0.58/0.97 thf(hoaslamnotvar, axiom, ~ (hoaslamnotvar) =>
% 0.58/0.97 ((((!!) @ (^[Y0 : subst > term > term]:
% 0.58/0.97 (((((!!) @ (^[Y1 : subst]:
% 0.58/0.97 (((!!) @ (^[Y2 : term]:
% 0.58/0.97 (((!!) @ (^[Y3 : subst]:
% 0.58/0.97 (((sub @
% 0.58/0.97 (Y0 @ Y1 @ Y2) @ Y3) =
% 0.58/0.97 (Y0 @
% 0.58/0.97 (comp @ Y1 @ Y3) @
% 0.58/0.97 (sub @ Y2 @ Y3))))))))))))) =>
% 0.58/0.97 (((~) @ (hoasvar @ id @
% 0.58/0.97 (hoaslam @ id @
% 0.58/0.97 (^[Y1 : subst,Y2 : term]: (Y0 @ Y1 @ Y2))) @
% 0.58/0.97 id))))))))
% 0.58/0.97 != ($true))).
% 0.58/0.97 thf('3', plain,
% 0.58/0.97 (( ~( hoaslamnotvar ) ) <=>
% 0.58/0.97 ( ~( ![X5:( subst > term > term )]:
% 0.58/0.97 ( ( ![X7:subst,X9:term,X11:subst]:
% 0.58/0.97 ( ( sub @ ( X5 @ X7 @ X9 ) @ X11 ) =
% 0.58/0.97 ( X5 @ ( comp @ X7 @ X11 ) @ ( sub @ X9 @ X11 ) ) ) ) =>
% 0.58/0.97 ( ~( hoasvar @
% 0.58/0.97 id @
% 0.58/0.97 ( hoaslam @
% 0.58/0.97 id @ ( ^[V_1:subst,V_2:term]: ( X5 @ V_1 @ V_2 ) ) ) @
% 0.58/0.97 id ) ) ) ) )),
% 0.58/0.97 inference('rw.lit', [status(esa)], [hoaslamnotvar])).
% 0.58/0.97 thf(zip_derived_cl249, plain,
% 0.58/0.97 (~ (((!!) @ (^[Y0 : subst > term > term]:
% 0.58/0.97 (((((!!) @ (^[Y1 : subst]:
% 0.58/0.97 (((!!) @ (^[Y2 : term]:
% 0.58/0.97 (((!!) @ (^[Y3 : subst]:
% 0.58/0.97 (((sub @
% 0.58/0.97 (Y0 @ Y1 @ Y2) @
% 0.58/0.97 Y3) = (Y0 @
% 0.58/0.97 (comp @ Y1 @ Y3) @
% 0.58/0.97 (sub @ Y2 @ Y3))))))))))))) =>
% 0.58/0.97 (((~) @ (hoasvar @ id @
% 0.58/0.97 (hoaslam @ id @
% 0.58/0.97 (^[Y1 : subst,Y2 : term]: (Y0 @ Y1 @ Y2))) @
% 0.58/0.97 id))))))))),
% 0.58/0.97 inference('rw_clause', [status(thm)], [zip_derived_cl234, '3'])).
% 0.58/0.97 thf(zip_derived_cl267, plain,
% 0.58/0.97 (~ (((!!) @ (^[Y0 : subst > term > term]:
% 0.58/0.97 (((((!!) @ (^[Y1 : subst]:
% 0.58/0.97 (((!!) @ (^[Y2 : term]:
% 0.58/0.97 (((!!) @ (^[Y3 : subst]:
% 0.58/0.97 (((sub @
% 0.58/0.97 (Y0 @ Y1 @ Y2) @
% 0.58/0.97 Y3) = (Y0 @
% 0.58/0.97 (comp @ Y1 @ Y3) @
% 0.58/0.97 (sub @ Y2 @ Y3))))))))))))) =>
% 0.58/0.97 (((~) @ (hoasvar @ id @ (hoaslam @ id @ Y0) @ id))))))))),
% 0.58/0.97 inference('ho_norm', [status(thm)], [zip_derived_cl249])).
% 0.58/0.97 thf(zip_derived_cl268, plain,
% 0.58/0.97 (~ (((((!!) @ (^[Y0 : subst]:
% 0.58/0.97 (((!!) @ (^[Y1 : term]:
% 0.58/0.97 (((!!) @ (^[Y2 : subst]:
% 0.58/0.97 (((sub @ ('#sk329' @ Y0 @ Y1) @
% 0.58/0.97 Y2) = ('#sk329' @
% 0.58/0.97 (comp @ Y0 @ Y2) @
% 0.58/0.97 (sub @ Y1 @ Y2))))))))))))) =>
% 0.58/0.97 (((~) @ (hoasvar @ id @ (hoaslam @ id @ '#sk329') @ id)))))),
% 0.58/0.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl267])).
% 0.58/0.97 thf(hoaslam, axiom,(( hoaslam @ (X1)@ (X0)) = ((lam @ (X0 @ sh @ one))))).
% 0.58/0.97 thf('4', plain,
% 0.58/0.97 (![X1:subst,X0:( subst > term > term )]:
% 0.58/0.97 ( ( hoaslam @ X1 @ X0 ) = ( lam @ ( X0 @ sh @ one ) ) )),
% 0.58/0.97 define([status(thm)])).
% 0.58/0.97 thf(hoasvar, axiom,(( hoasvar @ (X2)@ (X0)@ (X1)) =
% 0.58/0.97 ((var @ (sub @ X0 @ X1))))).
% 0.58/0.97 thf('5', plain,
% 0.58/0.97 (![X2:subst,X1:subst,X0:term]:
% 0.58/0.97 ( ( hoasvar @ X2 @ X0 @ X1 ) = ( var @ ( sub @ X0 @ X1 ) ) )),
% 0.58/0.97 define([status(thm)])).
% 0.58/0.97 thf(zip_derived_cl281, plain,
% 0.58/0.97 (~ (((((!!) @ (^[Y0 : subst]:
% 0.58/0.97 (((!!) @ (^[Y1 : term]:
% 0.58/0.97 (((!!) @ (^[Y2 : subst]:
% 0.58/0.97 (((sub @ ('#sk329' @ Y0 @ Y1) @
% 0.58/0.97 Y2) = ('#sk329' @
% 0.58/0.97 (comp @ Y0 @ Y2) @
% 0.58/0.97 (sub @ Y1 @ Y2))))))))))))) =>
% 0.58/0.97 (((~) @ (var @ (sub @ (lam @ ('#sk329' @ sh @ one)) @ id))))))),
% 0.58/0.97 inference('rw', [status(thm)], [zip_derived_cl268, '4', '5'])).
% 0.58/0.97 thf(zip_derived_cl283, plain,
% 0.58/0.97 ( (var @ (sub @ (lam @ ('#sk329' @ sh @ one)) @ id))),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl281])).
% 0.58/0.97 thf(zip_derived_cl10, plain, ( (axvarid)),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.58/0.97 thf(axvarid, axiom, (axvarid) =>
% 0.58/0.97 ((((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0)))))) = ($true))).
% 0.58/0.97 thf('6', plain,
% 0.58/0.97 (( axvarid ) <=> ( ![X5:term]: ( ( sub @ X5 @ id ) = ( X5 ) ) )),
% 0.58/0.97 inference('rw.lit', [status(esa)], [axvarid])).
% 0.58/0.97 thf(zip_derived_cl14, plain,
% 0.58/0.97 ( (((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0))))))),
% 0.58/0.97 inference('rw_clause', [status(thm)], [zip_derived_cl10, '6'])).
% 0.58/0.97 thf(zip_derived_cl19, plain, (![X2 : term]: (((sub @ X2 @ id) = (X2)))),
% 0.58/0.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 0.58/0.97 thf(zip_derived_cl25, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 0.58/0.97 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 0.58/0.97 thf(zip_derived_cl124, plain, ( (lamnotvar)),
% 0.58/0.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])).
% 0.58/0.97 thf(lamnotvar, axiom, (lamnotvar) =>
% 0.58/0.97 ((((!!) @ (^[Y0 : term]: (((~) @ (var @ (lam @ Y0))))))) = ($true))).
% 0.58/0.97 thf('7', plain,
% 0.58/0.97 (( lamnotvar ) <=> ( ![X5:term]: ( ~( var @ ( lam @ X5 ) ) ) )),
% 0.58/0.97 inference('rw.lit', [status(esa)], [lamnotvar])).
% 0.58/0.97 thf(zip_derived_cl135, plain,
% 0.58/0.97 ( (((!!) @ (^[Y0 : term]: (((~) @ (var @ (lam @ Y0)))))))),
% 0.58/0.97 inference('rw_clause', [status(thm)], [zip_derived_cl124, '7'])).
% 0.58/0.97 thf(zip_derived_cl144, plain, (![X2 : term]: ~ (var @ (lam @ X2))),
% 0.58/0.97 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl135])).
% 0.58/0.97 thf(zip_derived_cl329, plain, ($false),
% 0.58/0.97 inference('demod', [status(thm)],
% 0.58/0.97 [zip_derived_cl283, zip_derived_cl25, zip_derived_cl144])).
% 0.58/0.97
% 0.58/0.97 % SZS output end Refutation
% 0.58/0.97
% 0.58/0.97
% 0.58/0.97 % Terminating...
% 1.74/1.08 % Runner terminated.
% 1.74/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------