%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG261^1 : 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.hypgVOBhzq true
% Computer : n008.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 0.60s 0.96s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG261^1 : 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.hypgVOBhzq true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:02:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.56/0.71 % Total configuration time : 828
% 0.56/0.71 % Estimated wc time : 1656
% 0.56/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.96 % Solved by lams/30_b.l.sh.
% 0.60/0.96 % done 0 iterations in 0.112s
% 0.60/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.96 % SZS output start Refutation
% 0.60/0.96 thf(subst_type, type, subst: $tType).
% 0.60/0.96 thf(term_type, type, term: $tType).
% 0.60/0.96 thf(axmap_type, type, axmap: $o).
% 0.60/0.96 thf(hoasapnotvar_gthm_type, type, hoasapnotvar_gthm: $o).
% 0.60/0.96 thf(axclos_type, type, axclos: $o).
% 0.60/0.96 thf(lamnotap_type, type, lamnotap: $o).
% 0.60/0.96 thf(axvarcons_type, type, axvarcons: $o).
% 0.60/0.96 thf(substmonoid_type, type, substmonoid: $o).
% 0.60/0.96 thf(push_type, type, push: term > subst > subst).
% 0.60/0.96 thf(axshiftcons_type, type, axshiftcons: $o).
% 0.60/0.96 thf(hoasapinj1_type, type, hoasapinj1: $o).
% 0.60/0.96 thf(axapp_type, type, axapp: $o).
% 0.60/0.96 thf(shinj_type, type, shinj: $o).
% 0.60/0.96 thf(hoasap_type, type, hoasap: subst > term > subst > term > term).
% 0.60/0.96 thf(hoaslaminj_type, type, hoaslaminj: $o).
% 0.60/0.96 thf(one_type, type, one: term).
% 0.60/0.96 thf('#sk376_type', type, '#sk376': term).
% 0.60/0.96 thf(id_type, type, id: subst).
% 0.60/0.96 thf(hoaslamnotap_type, type, hoaslamnotap: $o).
% 0.60/0.96 thf(induction2_type, type, induction2: $o).
% 0.60/0.96 thf(axvarid_type, type, axvarid: $o).
% 0.60/0.96 thf(axvarshift_type, type, axvarshift: $o).
% 0.60/0.96 thf(induction2lem_type, type, induction2lem: $o).
% 0.60/0.96 thf(sh_type, type, sh: subst).
% 0.60/0.96 thf(laminj_type, type, laminj: $o).
% 0.60/0.96 thf(ulamvarind_type, type, ulamvarind: $o).
% 0.60/0.96 thf(apinj2_type, type, apinj2: $o).
% 0.60/0.96 thf(ulamvarsh_type, type, ulamvarsh: $o).
% 0.60/0.96 thf('#sk423_type', type, '#sk423': term).
% 0.60/0.96 thf(lamnotvar_type, type, lamnotvar: $o).
% 0.60/0.96 thf(apnotvar_type, type, apnotvar: $o).
% 0.60/0.96 thf(pushprop_type, type, pushprop: $o).
% 0.60/0.96 thf(sub_type, type, sub: term > subst > term).
% 0.60/0.96 thf(apinj1_type, type, apinj1: $o).
% 0.60/0.96 thf(axidl_type, type, axidl: $o).
% 0.60/0.96 thf(ap_type, type, ap: term > term > term).
% 0.60/0.96 thf(termmset_type, type, termmset: $o).
% 0.60/0.96 thf(hoasapinj2_type, type, hoasapinj2: $o).
% 0.60/0.96 thf(hoasapnotvar_type, type, hoasapnotvar: $o).
% 0.60/0.96 thf(var_type, type, var: term > $o).
% 0.60/0.96 thf(axassoc_type, type, axassoc: $o).
% 0.60/0.96 thf(hoaslamnotvar_type, type, hoaslamnotvar: $o).
% 0.60/0.96 thf(axidr_type, type, axidr: $o).
% 0.60/0.96 thf(axabs_type, type, axabs: $o).
% 0.60/0.96 thf(hoasvar_type, type, hoasvar: subst > term > subst > $o).
% 0.60/0.96 thf(ulamvar1_type, type, ulamvar1: $o).
% 0.60/0.96 thf(induction_type, type, induction: $o).
% 0.60/0.96 thf(axscons_type, type, axscons: $o).
% 0.60/0.96 thf(thm, conjecture, (hoasapnotvar_gthm)).
% 0.60/0.96 thf(zf_stmt_0, negated_conjecture, (~( hoasapnotvar_gthm )),
% 0.60/0.96 inference('cnf.neg', [status(esa)], [thm])).
% 0.60/0.96 thf(zip_derived_cl0, plain, (~ (hoasapnotvar_gthm)),
% 0.60/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.96 thf(hoasapnotvar_gthm, axiom, ~ (hoasapnotvar_gthm) =>
% 0.60/0.96 ((((axapp) =>
% 0.60/0.96 (((axvarcons) =>
% 0.60/0.96 (((axvarid) =>
% 0.60/0.96 (((axabs) =>
% 0.60/0.96 (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((axvarshift) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((ulamvar1) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/0.96 != ($true))).
% 0.60/0.96 thf('0', plain,
% 0.60/0.96 (( ~( hoasapnotvar_gthm ) ) <=>
% 0.60/0.96 ( ~( ( axapp ) =>
% 0.60/0.96 ( ( axvarcons ) =>
% 0.60/0.96 ( ( axvarid ) =>
% 0.60/0.96 ( ( axabs ) =>
% 0.60/0.96 ( ( axclos ) =>
% 0.60/0.96 ( ( axidl ) =>
% 0.60/0.96 ( ( axshiftcons ) =>
% 0.60/0.96 ( ( axassoc ) =>
% 0.60/0.96 ( ( axmap ) =>
% 0.60/0.96 ( ( axidr ) =>
% 0.60/0.96 ( ( axvarshift ) =>
% 0.60/0.96 ( ( axscons ) =>
% 0.60/0.96 ( ( ulamvar1 ) =>
% 0.60/0.96 ( ( ulamvarsh ) =>
% 0.60/0.96 ( ( ulamvarind ) =>
% 0.60/0.96 ( ( apinj1 ) =>
% 0.60/0.96 ( ( apinj2 ) =>
% 0.60/0.96 ( ( laminj ) =>
% 0.60/0.96 ( ( shinj ) =>
% 0.60/0.96 ( ( lamnotap ) =>
% 0.60/0.96 ( ( apnotvar ) =>
% 0.60/0.96 ( ( lamnotvar ) =>
% 0.60/0.96 ( ( induction ) =>
% 0.60/0.96 ( ( pushprop ) =>
% 0.60/0.96 ( ( induction2lem ) =>
% 0.60/0.96 ( ( induction2 ) =>
% 0.60/0.96 ( ( substmonoid ) =>
% 0.60/0.96 ( ( termmset ) =>
% 0.60/0.96 ( ( hoasapinj1 ) =>
% 0.60/0.96 ( (
% 0.60/0.96 hoasapinj2 ) =>
% 0.60/0.96 (
% 0.60/0.96 (
% 0.60/0.96 hoaslaminj ) =>
% 0.60/0.96 (
% 0.60/0.96 (
% 0.60/0.96 hoaslamnotap ) =>
% 0.60/0.96 (
% 0.60/0.96 (
% 0.60/0.96 hoaslamnotvar ) =>
% 0.60/0.96 (
% 0.60/0.96 hoasapnotvar ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.60/0.96 inference('rw.lit', [status(esa)], [hoasapnotvar_gthm])).
% 0.60/0.96 thf(zip_derived_cl1, plain,
% 0.60/0.96 (~ (((axapp) =>
% 0.60/0.96 (((axvarcons) =>
% 0.60/0.96 (((axvarid) =>
% 0.60/0.96 (((axabs) =>
% 0.60/0.96 (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((axvarshift) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((ulamvar1) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslaminj) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotap) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 0.60/0.96 thf(axvarshift, axiom,(( axvarshift ) = ((((push @ one @ sh) = (id)))))).
% 0.60/0.96 thf('1', plain, (( axvarshift ) = ( ( push @ one @ sh ) = ( id ) )),
% 0.60/0.96 define([status(thm)])).
% 0.60/0.96 thf(ulamvar1, axiom,(( ulamvar1 ) = ((var @ one)))).
% 0.60/0.96 thf('2', plain, (( ulamvar1 ) = ( var @ one )), define([status(thm)])).
% 0.60/0.96 thf(zip_derived_cl2, plain,
% 0.60/0.96 (~ (((axapp) =>
% 0.60/0.96 (((axvarcons) =>
% 0.60/0.96 (((axvarid) =>
% 0.60/0.96 (((axabs) =>
% 0.60/0.96 (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslaminj) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotap) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('rw', [status(thm)], [zip_derived_cl1, '1', '2'])).
% 0.60/0.96 thf(zip_derived_cl4, plain,
% 0.60/0.96 (~ (((axvarcons) =>
% 0.60/0.96 (((axvarid) =>
% 0.60/0.96 (((axabs) =>
% 0.60/0.96 (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotap) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 0.60/0.96 thf(zip_derived_cl7, plain,
% 0.60/0.96 (~ (((axvarid) =>
% 0.60/0.96 (((axabs) =>
% 0.60/0.96 (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 ((
% 0.60/0.96 (hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 0.60/0.96 thf(zip_derived_cl11, plain,
% 0.60/0.96 (~ (((axabs) =>
% 0.60/0.96 (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.60/0.96 thf(zip_derived_cl16, plain,
% 0.60/0.96 (~ (((axclos) =>
% 0.60/0.96 (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
% 0.60/0.96 thf(zip_derived_cl22, plain,
% 0.60/0.96 (~ (((axidl) =>
% 0.60/0.96 (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])).
% 0.60/0.96 thf(zip_derived_cl29, plain,
% 0.60/0.96 (~ (((axshiftcons) =>
% 0.60/0.96 (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])).
% 0.60/0.96 thf(zip_derived_cl34, plain,
% 0.60/0.96 (~ (((axassoc) =>
% 0.60/0.96 (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])).
% 0.60/0.96 thf(zip_derived_cl40, plain,
% 0.60/0.96 (~ (((axmap) =>
% 0.60/0.96 (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])).
% 0.60/0.96 thf(zip_derived_cl46, plain,
% 0.60/0.96 (~ (((axidr) =>
% 0.60/0.96 (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
% 0.60/0.96 thf(zip_derived_cl52, plain,
% 0.60/0.96 (~ (((((push @ one @ sh) = (id))) =>
% 0.60/0.96 (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])).
% 0.60/0.96 thf(zip_derived_cl58, plain,
% 0.60/0.96 (~ (((axscons) =>
% 0.60/0.96 (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])).
% 0.60/0.96 thf(zip_derived_cl64, plain,
% 0.60/0.96 (~ (((var @ one) =>
% 0.60/0.96 (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])).
% 0.60/0.96 thf(zip_derived_cl70, plain,
% 0.60/0.96 (~ (((ulamvarsh) =>
% 0.60/0.96 (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])).
% 0.60/0.96 thf(zip_derived_cl74, plain,
% 0.60/0.96 (~ (((ulamvarind) =>
% 0.60/0.96 (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) =>
% 0.60/0.96 (hoasapnotvar)))))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])).
% 0.60/0.96 thf(zip_derived_cl78, plain,
% 0.60/0.96 (~ (((apinj1) =>
% 0.60/0.96 (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])).
% 0.60/0.96 thf(zip_derived_cl82, plain,
% 0.60/0.96 (~ (((apinj2) =>
% 0.60/0.96 (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])).
% 0.60/0.96 thf(zip_derived_cl87, plain,
% 0.60/0.96 (~ (((laminj) =>
% 0.60/0.96 (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 0.60/0.96 thf(zip_derived_cl92, plain,
% 0.60/0.96 (~ (((shinj) =>
% 0.60/0.96 (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])).
% 0.60/0.96 thf(zip_derived_cl98, plain,
% 0.60/0.96 (~ (((lamnotap) =>
% 0.60/0.96 (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])).
% 0.60/0.96 thf(zip_derived_cl105, plain,
% 0.60/0.96 (~ (((apnotvar) =>
% 0.60/0.96 (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])).
% 0.60/0.96 thf(zip_derived_cl114, plain,
% 0.60/0.96 (~ (((lamnotvar) =>
% 0.60/0.96 (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])).
% 0.60/0.96 thf(zip_derived_cl125, plain,
% 0.60/0.96 (~ (((induction) =>
% 0.60/0.96 (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])).
% 0.60/0.96 thf(zip_derived_cl137, plain,
% 0.60/0.96 (~ (((pushprop) =>
% 0.60/0.96 (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])).
% 0.60/0.96 thf(zip_derived_cl147, plain,
% 0.60/0.96 (~ (((induction2lem) =>
% 0.60/0.96 (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) =>
% 0.60/0.96 (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
% 0.60/0.96 thf(zip_derived_cl152, plain,
% 0.60/0.96 (~ (((induction2) =>
% 0.60/0.96 (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])).
% 0.60/0.96 thf(zip_derived_cl157, plain,
% 0.60/0.96 (~ (((substmonoid) =>
% 0.60/0.96 (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl152])).
% 0.60/0.96 thf(zip_derived_cl163, plain,
% 0.60/0.96 (~ (((termmset) =>
% 0.60/0.96 (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl157])).
% 0.60/0.96 thf(zip_derived_cl171, plain,
% 0.60/0.96 (~ (((hoasapinj1) =>
% 0.60/0.96 (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl163])).
% 0.60/0.96 thf(zip_derived_cl184, plain,
% 0.60/0.96 (~ (((hoasapinj2) =>
% 0.60/0.96 (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
% 0.60/0.96 thf(zip_derived_cl199, plain,
% 0.60/0.96 (~ (((hoaslaminj) =>
% 0.60/0.96 (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl184])).
% 0.60/0.96 thf(zip_derived_cl216, plain,
% 0.60/0.96 (~ (((hoaslamnotap) => (((hoaslamnotvar) => (hoasapnotvar)))))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])).
% 0.60/0.96 thf(zip_derived_cl234, plain, (~ (((hoaslamnotvar) => (hoasapnotvar)))),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl216])).
% 0.60/0.96 thf(zip_derived_cl250, plain, (~ (hoasapnotvar)),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl234])).
% 0.60/0.96 thf(hoasapnotvar, axiom, ~ (hoasapnotvar) =>
% 0.60/0.96 ((((!!) @ (^[Y0 : term]:
% 0.60/0.96 (((!!) @ (^[Y1 : term]:
% 0.60/0.96 (((~) @ (hoasvar @ id @
% 0.60/0.96 (hoasap @ id @ Y0 @ id @ Y1) @ id)))))))))
% 0.60/0.96 != ($true))).
% 0.60/0.96 thf('3', plain,
% 0.60/0.96 (( ~( hoasapnotvar ) ) <=>
% 0.60/0.96 ( ~( ![X5:term,X7:term]:
% 0.60/0.96 ( ~( hoasvar @ id @ ( hoasap @ id @ X5 @ id @ X7 ) @ id ) ) ) )),
% 0.60/0.96 inference('rw.lit', [status(esa)], [hoasapnotvar])).
% 0.60/0.96 thf(zip_derived_cl269, plain,
% 0.60/0.96 (~ (((!!) @ (^[Y0 : term]:
% 0.60/0.96 (((!!) @ (^[Y1 : term]:
% 0.60/0.96 (((~) @ (hoasvar @ id @
% 0.60/0.96 (hoasap @ id @ Y0 @ id @ Y1) @ id)))))))))),
% 0.60/0.96 inference('rw_clause', [status(thm)], [zip_derived_cl250, '3'])).
% 0.60/0.96 thf(zip_derived_cl284, plain,
% 0.60/0.96 (~ (((!!) @ (^[Y0 : term]:
% 0.60/0.96 (((~) @ (hoasvar @ id @
% 0.60/0.96 (hoasap @ id @ '#sk376' @ id @ Y0) @ id))))))),
% 0.60/0.96 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl269])).
% 0.60/0.96 thf(zip_derived_cl296, plain,
% 0.60/0.96 ( (hoasvar @ id @ (hoasap @ id @ '#sk376' @ id @ '#sk423') @ id)),
% 0.60/0.96 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl284])).
% 0.60/0.96 thf(hoasap, axiom,(( hoasap @ (X3)@ (X0)@ (X1)@ (X2)) =
% 0.60/0.96 ((ap @ (sub @ X0 @ X1) @ X2)))).
% 0.60/0.96 thf('4', plain,
% 0.60/0.96 (![X3:subst,X2:term,X1:subst,X0:term]:
% 0.60/0.96 ( ( hoasap @ X3 @ X0 @ X1 @ X2 ) = ( ap @ ( sub @ X0 @ X1 ) @ X2 ) )),
% 0.60/0.96 define([status(thm)])).
% 0.60/0.96 thf(hoasvar, axiom,(( hoasvar @ (X2)@ (X0)@ (X1)) =
% 0.60/0.96 ((var @ (sub @ X0 @ X1))))).
% 0.60/0.96 thf('5', plain,
% 0.60/0.96 (![X2:subst,X1:subst,X0:term]:
% 0.60/0.96 ( ( hoasvar @ X2 @ X0 @ X1 ) = ( var @ ( sub @ X0 @ X1 ) ) )),
% 0.60/0.96 define([status(thm)])).
% 0.60/0.96 thf(zip_derived_cl304, plain,
% 0.60/0.96 ( (var @ (sub @ (ap @ (sub @ '#sk376' @ id) @ '#sk423') @ id))),
% 0.60/0.96 inference('rw', [status(thm)], [zip_derived_cl296, '4', '5'])).
% 0.60/0.96 thf(zip_derived_cl10, plain, ( (axvarid)),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.60/0.96 thf(axvarid, axiom, (axvarid) =>
% 0.60/0.96 ((((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0)))))) = ($true))).
% 0.60/0.96 thf('6', plain,
% 0.60/0.96 (( axvarid ) <=> ( ![X5:term]: ( ( sub @ X5 @ id ) = ( X5 ) ) )),
% 0.60/0.96 inference('rw.lit', [status(esa)], [axvarid])).
% 0.60/0.96 thf(zip_derived_cl14, plain,
% 0.60/0.96 ( (((!!) @ (^[Y0 : term]: (((sub @ Y0 @ id) = (Y0))))))),
% 0.60/0.96 inference('rw_clause', [status(thm)], [zip_derived_cl10, '6'])).
% 0.60/0.96 thf(zip_derived_cl19, plain, (![X2 : term]: (((sub @ X2 @ id) = (X2)))),
% 0.60/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 0.60/0.96 thf(zip_derived_cl25, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 0.60/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 0.60/0.96 thf(zip_derived_cl25, plain, (![X2 : term]: ((sub @ X2 @ id) = (X2))),
% 0.60/0.96 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])).
% 0.60/0.96 thf(zip_derived_cl113, plain, ( (apnotvar)),
% 0.60/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])).
% 0.60/0.96 thf(apnotvar, axiom, (apnotvar) =>
% 0.60/0.96 ((((!!) @ (^[Y0 : term]:
% 0.60/0.96 (((!!) @ (^[Y1 : term]: (((~) @ (var @ (ap @ Y0 @ Y1))))))))))
% 0.60/0.96 = ($true))).
% 0.60/0.96 thf('7', plain,
% 0.60/0.96 (( apnotvar ) <=> ( ![X5:term,X7:term]: ( ~( var @ ( ap @ X5 @ X7 ) ) ) )),
% 0.60/0.96 inference('rw.lit', [status(esa)], [apnotvar])).
% 0.60/0.96 thf(zip_derived_cl123, plain,
% 0.60/0.96 ( (((!!) @ (^[Y0 : term]:
% 0.60/0.96 (((!!) @ (^[Y1 : term]: (((~) @ (var @ (ap @ Y0 @ Y1))))))))))),
% 0.60/0.96 inference('rw_clause', [status(thm)], [zip_derived_cl113, '7'])).
% 0.60/0.96 thf(zip_derived_cl134, plain,
% 0.60/0.96 (![X2 : term]:
% 0.60/0.96 (((!!) @ (^[Y0 : term]: (((~) @ (var @ (ap @ X2 @ Y0)))))))),
% 0.60/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl123])).
% 0.60/0.96 thf(zip_derived_cl143, plain,
% 0.60/0.96 (![X2 : term, X4 : term]: ~ (var @ (ap @ X2 @ X4))),
% 0.60/0.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl134])).
% 0.60/0.96 thf(zip_derived_cl334, plain, ($false),
% 0.60/0.96 inference('demod', [status(thm)],
% 0.60/0.96 [zip_derived_cl304, zip_derived_cl25, zip_derived_cl25,
% 0.60/0.96 zip_derived_cl143])).
% 0.60/0.96
% 0.60/0.96 % SZS output end Refutation
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 % Terminating...
% 0.60/1.01 % Runner terminated.
% 1.81/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------