TSTP Solution File: ALG258^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG258^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uP1Z5ODDF5 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 : Wed Aug 30 17:12:32 EDT 2023
% Result : Theorem 1.95s 0.94s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ALG258^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uP1Z5ODDF5 true
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 03:53:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in HO mode
% 0.23/0.62 % Total configuration time : 828
% 0.23/0.62 % Estimated wc time : 1656
% 0.23/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.95/0.94 % Solved by lams/40_b.comb.sh.
% 1.95/0.94 % done 26 iterations in 0.111s
% 1.95/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.95/0.94 % SZS output start Refutation
% 1.95/0.94 thf(term_type, type, term: $tType).
% 1.95/0.94 thf(subst_type, type, subst: $tType).
% 1.95/0.94 thf(lam_type, type, lam: term > term).
% 1.95/0.94 thf(axvarcons_type, type, axvarcons: $o).
% 1.95/0.94 thf('#sk1_type', type, '#sk1': subst > term > term).
% 1.95/0.94 thf(push_type, type, push: term > subst > subst).
% 1.95/0.94 thf(axshiftcons_type, type, axshiftcons: $o).
% 1.95/0.94 thf(hoaslaminj_type, type, hoaslaminj: $o).
% 1.95/0.94 thf(one_type, type, one: term).
% 1.95/0.94 thf(id_type, type, id: subst).
% 1.95/0.94 thf(comp_type, type, comp: subst > subst > subst).
% 1.95/0.94 thf('#sk3_type', type, '#sk3': subst).
% 1.95/0.94 thf(sh_type, type, sh: subst).
% 1.95/0.94 thf(laminj_type, type, laminj: $o).
% 1.95/0.94 thf('#sk4_type', type, '#sk4': term).
% 1.95/0.94 thf(sub_type, type, sub: term > subst > term).
% 1.95/0.94 thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term).
% 1.95/0.94 thf(hoaslaminj_lthm_type, type, hoaslaminj_lthm: $o).
% 1.95/0.94 thf('#sk2_type', type, '#sk2': subst > term > term).
% 1.95/0.94 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 1.95/0.94 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 1.95/0.94 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 1.95/0.94 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 1.95/0.94 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 1.95/0.94 thf(thm, conjecture, (hoaslaminj_lthm)).
% 1.95/0.94 thf(zf_stmt_0, negated_conjecture, (~( hoaslaminj_lthm )),
% 1.95/0.94 inference('cnf.neg', [status(esa)], [thm])).
% 1.95/0.94 thf(zip_derived_cl0, plain, (~ (hoaslaminj_lthm)),
% 1.95/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.95/0.94 thf(hoaslaminj_lthm, axiom, ~ (hoaslaminj_lthm) =>
% 1.95/0.94 ((((axvarcons) => (((axshiftcons) => (((laminj) => (hoaslaminj))))))) !=
% 1.95/0.94 ($true))).
% 1.95/0.94 thf('0', plain,
% 1.95/0.94 (( ~( hoaslaminj_lthm ) ) <=>
% 1.95/0.94 ( ~( ( axvarcons ) =>
% 1.95/0.94 ( ( axshiftcons ) => ( ( laminj ) => ( hoaslaminj ) ) ) ) )),
% 1.95/0.94 inference('rw.lit', [status(esa)], [hoaslaminj_lthm])).
% 1.95/0.94 thf(zip_derived_cl1, plain,
% 1.95/0.94 (~ (((axvarcons) => (((axshiftcons) => (((laminj) => (hoaslaminj)))))))),
% 1.95/0.94 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 1.95/0.94 thf(zip_derived_cl3, plain,
% 1.95/0.94 (~ (((axshiftcons) => (((laminj) => (hoaslaminj)))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.95/0.94 thf(zip_derived_cl6, plain, (~ (((laminj) => (hoaslaminj)))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.95/0.94 thf(zip_derived_cl11, plain, (~ (hoaslaminj)),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
% 1.95/0.94 thf(hoaslaminj, axiom, ~ (hoaslaminj) =>
% 1.95/0.94 ((((!!) @ (^[Y0 : subst > term > term]:
% 1.95/0.94 (((((!!) @ (^[Y1 : subst]:
% 1.95/0.94 (((!!) @ (^[Y2 : term]:
% 1.95/0.94 (((!!) @ (^[Y3 : subst]:
% 1.95/0.94 (((sub @
% 1.95/0.94 (Y0 @ Y1 @ Y2) @ Y3) =
% 1.95/0.94 (Y0 @
% 1.95/0.94 (comp @ Y1 @ Y3) @
% 1.95/0.94 (sub @ Y2 @ Y3))))))))))))) =>
% 1.95/0.94 (((!!) @ (^[Y1 : subst > term > term]:
% 1.95/0.94 (((((!!) @ (^[Y2 : subst]:
% 1.95/0.94 (((!!) @ (^[Y3 : term]:
% 1.95/0.94 (((!!) @ (^[Y4 : subst]:
% 1.95/0.94 ((
% 1.95/0.94 (sub @
% 1.95/0.94 (
% 1.95/0.94 Y1 @
% 1.95/0.94 Y2 @ Y3) @
% 1.95/0.94 Y4) =
% 1.95/0.94 (Y1 @
% 1.95/0.94 (
% 1.95/0.94 comp @
% 1.95/0.94 Y2 @ Y4) @
% 1.95/0.94 (
% 1.95/0.94 sub @
% 1.95/0.94 Y3 @ Y4))))))))))))) =>
% 1.95/0.94 (((((hoaslam @ id @
% 1.95/0.94 (^[Y2 : subst,Y3 : term]: (Y0 @ Y2 @ Y3))) =
% 1.95/0.94 (hoaslam @ id @
% 1.95/0.94 (^[Y2 : subst,Y3 : term]: (Y1 @ Y2 @ Y3))))) =>
% 1.95/0.94 (((!!) @ (^[Y2 : subst]:
% 1.95/0.94 (((!!) @ (^[Y3 : term]:
% 1.95/0.94 (((Y0 @ Y2 @ Y3) =
% 1.95/0.94 (Y1 @ Y2 @ Y3)))))))))))))))))))))
% 1.95/0.94 != ($true))).
% 1.95/0.94 thf('1', plain,
% 1.95/0.94 (( ~( hoaslaminj ) ) <=>
% 1.95/0.94 ( ~( ![X5:( subst > term > term )]:
% 1.95/0.94 ( ( ![X7:subst,X9:term,X11:subst]:
% 1.95/0.94 ( ( sub @ ( X5 @ X7 @ X9 ) @ X11 ) =
% 1.95/0.94 ( X5 @ ( comp @ X7 @ X11 ) @ ( sub @ X9 @ X11 ) ) ) ) =>
% 1.95/0.94 ( ![X13:( subst > term > term )]:
% 1.95/0.94 ( ( ![X15:subst,X17:term,X19:subst]:
% 1.95/0.94 ( ( sub @ ( X13 @ X15 @ X17 ) @ X19 ) =
% 1.95/0.94 ( X13 @ ( comp @ X15 @ X19 ) @ ( sub @ X17 @ X19 ) ) ) ) =>
% 1.95/0.94 ( ( ( hoaslam @
% 1.95/0.94 id @ ( ^[V_1:subst,V_2:term]: ( X5 @ V_1 @ V_2 ) ) ) =
% 1.95/0.94 ( hoaslam @
% 1.95/0.94 id @ ( ^[V_3:subst,V_4:term]: ( X13 @ V_3 @ V_4 ) ) ) ) =>
% 1.95/0.94 ( ![X21:subst,X23:term]:
% 1.95/0.94 ( ( X5 @ X21 @ X23 ) = ( X13 @ X21 @ X23 ) ) ) ) ) ) ) ) )),
% 1.95/0.94 inference('rw.lit', [status(esa)], [hoaslaminj])).
% 1.95/0.94 thf(zip_derived_cl16, plain,
% 1.95/0.94 (~ (((!!) @ (^[Y0 : subst > term > term]:
% 1.95/0.94 (((((!!) @ (^[Y1 : subst]:
% 1.95/0.94 (((!!) @ (^[Y2 : term]:
% 1.95/0.94 (((!!) @ (^[Y3 : subst]:
% 1.95/0.94 (((sub @
% 1.95/0.94 (Y0 @ Y1 @ Y2) @
% 1.95/0.94 Y3) = (Y0 @
% 1.95/0.94 (comp @ Y1 @ Y3) @
% 1.95/0.94 (sub @ Y2 @ Y3))))))))))))) =>
% 1.95/0.94 (((!!) @ (^[Y1 : subst > term > term]:
% 1.95/0.94 (((((!!) @ (^[Y2 : subst]:
% 1.95/0.94 (((!!) @ (^[Y3 : term]:
% 1.95/0.94 (((!!) @ (
% 1.95/0.94 ^[Y4 : subst]:
% 1.95/0.94 (((sub @
% 1.95/0.94 (Y1 @ Y2 @
% 1.95/0.94 Y3) @
% 1.95/0.94 Y4) = (Y1 @
% 1.95/0.94 (comp @
% 1.95/0.94 Y2 @ Y4) @
% 1.95/0.94 (sub @ Y3 @
% 1.95/0.94 Y4))))))))))))) =>
% 1.95/0.94 (((((hoaslam @ id @
% 1.95/0.94 (^[Y2 : subst,Y3 : term]:
% 1.95/0.94 (Y0 @ Y2 @ Y3))) =
% 1.95/0.94 (hoaslam @ id @
% 1.95/0.94 (^[Y2 : subst,Y3 : term]:
% 1.95/0.94 (Y1 @ Y2 @ Y3))))) =>
% 1.95/0.94 (((!!) @ (^[Y2 : subst]:
% 1.95/0.94 (((!!) @ (^[Y3 : term]:
% 1.95/0.94 (((Y0 @ Y2 @
% 1.95/0.94 Y3) = (Y1 @
% 1.95/0.94 Y2 @ Y3)))))))))))))))))))))),
% 1.95/0.94 inference('rw_clause', [status(thm)], [zip_derived_cl11, '1'])).
% 1.95/0.94 thf(zip_derived_cl21, plain,
% 1.95/0.94 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 '#S'))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 =))))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)))))))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#C') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ (
% 1.95/0.94 '#B') @
% 1.95/0.94 ('#B'))) @
% 1.95/0.94 comp)))))))) @
% 1.95/0.94 sub)))))))))))) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (!!))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ (
% 1.95/0.94 '#S') @
% 1.95/0.94 ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 '#S'))))) @
% 1.95/0.94 ((
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 =))))))) @
% 1.95/0.94 (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ sub)))))))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ (
% 1.95/0.94 '#C') @
% 1.95/0.94 ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 ((
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 (
% 1.95/0.94 (
% 1.95/0.94 ('#C') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 '#B') @
% 1.95/0.94 (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 comp)))))))) @
% 1.95/0.94 sub)))))))))))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=>))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ (=) @
% 1.95/0.94 (hoaslam @ id))))) @
% 1.95/0.94 (hoaslam @ id))))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=)))))))))))))))))))))))),
% 1.95/0.94 inference('comb-normalize', [status(thm)], [zip_derived_cl16])).
% 1.95/0.94 thf(zip_derived_cl22, plain,
% 1.95/0.94 (~ (((((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)) @ '#sk1')))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ '#sk1')) @ comp)))))) @
% 1.95/0.94 sub)))))))))) =>
% 1.95/0.94 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 '#S'))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 =))))))) @
% 1.95/0.94 ((('#B') @ ((
% 1.95/0.94 ('#B') @ sub)))))))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#C') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#C') @ ((
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 '#B') @
% 1.95/0.94 (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 comp)))))))) @
% 1.95/0.94 sub)))))))))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (((term) = (hoaslam @ id @
% 1.95/0.94 '#sk1'))) @
% 1.95/0.94 (hoaslam @ id))))) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1'))))))))))))))))))),
% 1.95/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])).
% 1.95/0.94 thf(hoaslam, axiom,(( hoaslam @ (X1)@ (X0)) = ((lam @ (X0 @ sh @ one))))).
% 1.95/0.94 thf('2', plain,
% 1.95/0.94 (![X1:subst,X0:( subst > term > term )]:
% 1.95/0.94 ( ( hoaslam @ X1 @ X0 ) = ( lam @ ( X0 @ sh @ one ) ) )),
% 1.95/0.94 define([status(thm)])).
% 1.95/0.94 thf(zip_derived_cl25, plain,
% 1.95/0.94 (~ (((((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)) @ '#sk1')))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ '#sk1')) @ comp)))))) @
% 1.95/0.94 sub)))))))))) =>
% 1.95/0.94 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 '#S'))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 (
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 =))))))) @
% 1.95/0.94 ((('#B') @ ((
% 1.95/0.94 ('#B') @ sub)))))))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#C') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#C') @ ((
% 1.95/0.94 ('#B') @ (
% 1.95/0.94 '#B') @
% 1.95/0.94 (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 comp)))))))) @
% 1.95/0.94 sub)))))))))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (((term) = (lam @
% 1.95/0.94 ('#sk1' @ sh @ one)))) @
% 1.95/0.94 (hoaslam @ id))))) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1'))))))))))))))))))),
% 1.95/0.94 inference('rw', [status(thm)], [zip_derived_cl22, '2'])).
% 1.95/0.94 thf(zip_derived_cl27, plain,
% 1.95/0.94 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 '#S'))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 (('#B') @ (
% 1.95/0.94 =))))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)))))))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#C') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#B'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (
% 1.95/0.94 '#S'))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ (
% 1.95/0.94 '#B') @
% 1.95/0.94 ('#B'))) @
% 1.95/0.94 comp)))))))) @
% 1.95/0.94 sub)))))))))))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (((term) = (lam @
% 1.95/0.94 ('#sk1' @ sh @ one)))) @
% 1.95/0.94 (hoaslam @ id))))) @
% 1.95/0.94 ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1'))))))))))))))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
% 1.95/0.94 thf(zip_derived_cl30, plain,
% 1.95/0.94 (~ (((((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)) @ '#sk2')))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ '#sk2')) @ comp)))))) @
% 1.95/0.94 sub)))))))))) =>
% 1.95/0.94 (((((lam @ ('#sk1' @ sh @ one)) = (hoaslam @ id @ '#sk2'))) =>
% 1.95/0.94 (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @
% 1.95/0.94 '#sk2'))))))))))),
% 1.95/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])).
% 1.95/0.94 thf(zip_derived_cl33, plain,
% 1.95/0.94 (~ (((((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)) @ '#sk2')))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ '#sk2')) @ comp)))))) @
% 1.95/0.94 sub)))))))))) =>
% 1.95/0.94 (((((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))) =>
% 1.95/0.94 (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @
% 1.95/0.94 '#sk2'))))))))))),
% 1.95/0.94 inference('rw', [status(thm)], [zip_derived_cl30, '2'])).
% 1.95/0.94 thf(zip_derived_cl35, plain,
% 1.95/0.94 (~ (((((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))) =>
% 1.95/0.94 (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @
% 1.95/0.94 '#sk2'))))))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])).
% 1.95/0.94 thf(zip_derived_cl38, plain,
% 1.95/0.94 ( (((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])).
% 1.95/0.94 thf(zip_derived_cl42, plain,
% 1.95/0.94 (((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])).
% 1.95/0.94 thf(zip_derived_cl10, plain, ( (laminj)),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
% 1.95/0.94 thf(laminj, axiom, (laminj) =>
% 1.95/0.94 ((((!!) @ (^[Y0 : term]:
% 1.95/0.94 (((!!) @ (^[Y1 : term]:
% 1.95/0.94 (((((lam @ Y0) = (lam @ Y1))) => (((Y0) = (Y1)))))))))))
% 1.95/0.94 = ($true))).
% 1.95/0.94 thf('3', plain,
% 1.95/0.94 (( laminj ) <=>
% 1.95/0.94 ( ![X5:term,X7:term]:
% 1.95/0.94 ( ( ( lam @ X5 ) = ( lam @ X7 ) ) => ( ( X5 ) = ( X7 ) ) ) )),
% 1.95/0.94 inference('rw.lit', [status(esa)], [laminj])).
% 1.95/0.94 thf(zip_derived_cl15, plain,
% 1.95/0.94 ( (((!!) @ (^[Y0 : term]:
% 1.95/0.94 (((!!) @ (^[Y1 : term]:
% 1.95/0.94 (((((lam @ Y0) = (lam @ Y1))) =>
% 1.95/0.94 (((Y0) = (Y1)))))))))))),
% 1.95/0.94 inference('rw_clause', [status(thm)], [zip_derived_cl10, '3'])).
% 1.95/0.94 thf(zip_derived_cl19, plain,
% 1.95/0.94 ( (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=>))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ (=) @ lam)))) @
% 1.95/0.94 lam)))))) @
% 1.95/0.94 (=)))))))),
% 1.95/0.94 inference('comb-normalize', [status(thm)], [zip_derived_cl15])).
% 1.95/0.94 thf(zip_derived_cl20, plain,
% 1.95/0.94 (![X2 : term]:
% 1.95/0.94 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 1.95/0.94 ((('#B') @ (((term) = (lam @ X2))) @ lam)))) @
% 1.95/0.94 (((term) = (X2)))))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
% 1.95/0.94 thf(zip_derived_cl24, plain,
% 1.95/0.94 (![X2 : term, X4 : term]:
% 1.95/0.94 (((((lam @ X2) = (lam @ X4))) => (((X2) = (X4)))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
% 1.95/0.94 thf(zip_derived_cl28, plain,
% 1.95/0.94 (![X2 : term, X4 : term]:
% 1.95/0.94 (~ (((lam @ X2) = (lam @ X4))) | (((X2) = (X4))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
% 1.95/0.94 thf(zip_derived_cl31, plain,
% 1.95/0.94 (![X2 : term, X4 : term]: (((lam @ X2) != (lam @ X4)) | ((X2) = (X4)))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl28])).
% 1.95/0.94 thf(zip_derived_cl65, plain,
% 1.95/0.94 (![X0 : term]:
% 1.95/0.94 (((lam @ ('#sk1' @ sh @ one)) != (lam @ X0))
% 1.95/0.94 | (('#sk2' @ sh @ one) = (X0)))),
% 1.95/0.94 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
% 1.95/0.94 thf(zip_derived_cl76, plain, ((('#sk2' @ sh @ one) = ('#sk1' @ sh @ one))),
% 1.95/0.94 inference('eq_res', [status(thm)], [zip_derived_cl65])).
% 1.95/0.94 thf(zip_derived_cl2, plain, ( (axvarcons)),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 1.95/0.94 thf(axvarcons, axiom, (axvarcons) =>
% 1.95/0.94 ((((!!) @ (^[Y0 : term]:
% 1.95/0.94 (((!!) @ (^[Y1 : subst]:
% 1.95/0.94 (((sub @ one @ (push @ Y0 @ Y1)) = (Y0)))))))))
% 1.95/0.94 = ($true))).
% 1.95/0.94 thf('4', plain,
% 1.95/0.94 (( axvarcons ) <=>
% 1.95/0.94 ( ![X5:term,X7:subst]: ( ( sub @ one @ ( push @ X5 @ X7 ) ) = ( X5 ) ) )),
% 1.95/0.94 inference('rw.lit', [status(esa)], [axvarcons])).
% 1.95/0.94 thf(zip_derived_cl4, plain,
% 1.95/0.94 ( (((!!) @ (^[Y0 : term]:
% 1.95/0.94 (((!!) @ (^[Y1 : subst]:
% 1.95/0.94 (((sub @ one @ (push @ Y0 @ Y1)) = (Y0)))))))))),
% 1.95/0.94 inference('rw_clause', [status(thm)], [zip_derived_cl2, '4'])).
% 1.95/0.94 thf(zip_derived_cl7, plain,
% 1.95/0.94 ( (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#C') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (sub @ one))) @ push)))))) @
% 1.95/0.94 ('#I')))))))),
% 1.95/0.94 inference('comb-normalize', [status(thm)], [zip_derived_cl4])).
% 1.95/0.94 thf(zip_derived_cl8, plain,
% 1.95/0.94 (![X2 : term]:
% 1.95/0.94 (((!!) @ ((('#C') @ ((('#B') @ (=) @
% 1.95/0.94 ((('#B') @ (sub @ one) @ (push @ X2))))) @
% 1.95/0.94 X2))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
% 1.95/0.94 thf(zip_derived_cl12, plain,
% 1.95/0.94 (![X2 : term, X4 : subst]: (((sub @ one @ (push @ X2 @ X4)) = (X2)))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
% 1.95/0.94 thf(zip_derived_cl17, plain,
% 1.95/0.94 (![X2 : term, X4 : subst]: ((sub @ one @ (push @ X2 @ X4)) = (X2))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
% 1.95/0.94 thf(zip_derived_cl26, plain,
% 1.95/0.94 ( (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)) @ '#sk1')))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ '#sk1')) @ comp)))))) @
% 1.95/0.94 sub))))))))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
% 1.95/0.94 thf(zip_derived_cl29, plain,
% 1.95/0.94 (![X2 : subst]:
% 1.95/0.94 (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @
% 1.95/0.94 ((('#B') @ sub @ ('#sk1' @ X2))))))) @
% 1.95/0.94 ((('#B') @ ((('#S') @ ((('#B') @ '#sk1' @ (comp @ X2))))) @
% 1.95/0.94 sub))))))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])).
% 1.95/0.94 thf(zip_derived_cl32, plain,
% 1.95/0.94 (![X2 : subst, X4 : term]:
% 1.95/0.94 (((!!) @ ((('#S') @ ((('#B') @ (=) @ (sub @ ('#sk1' @ X2 @ X4)))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ '#sk1' @ (comp @ X2))) @ (sub @ X4)))))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
% 1.95/0.94 thf(zip_derived_cl36, plain,
% 1.95/0.94 (![X2 : subst, X4 : term, X6 : subst]:
% 1.95/0.94 (((sub @ ('#sk1' @ X2 @ X4) @ X6) = ('#sk1' @ (comp @ X2 @ X6) @
% 1.95/0.94 (sub @ X4 @ X6))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])).
% 1.95/0.94 thf(zip_derived_cl40, plain,
% 1.95/0.94 (![X2 : subst, X4 : term, X6 : subst]:
% 1.95/0.94 ((sub @ ('#sk1' @ X2 @ X4) @ X6)
% 1.95/0.94 = ('#sk1' @ (comp @ X2 @ X6) @ (sub @ X4 @ X6)))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])).
% 1.95/0.94 thf(zip_derived_cl63, plain,
% 1.95/0.94 (![X0 : term, X1 : subst, X2 : subst]:
% 1.95/0.94 ((sub @ ('#sk1' @ X2 @ one) @ (push @ X0 @ X1))
% 1.95/0.94 = ('#sk1' @ (comp @ X2 @ (push @ X0 @ X1)) @ X0))),
% 1.95/0.94 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl40])).
% 1.95/0.94 thf(zip_derived_cl138, plain,
% 1.95/0.94 (![X0 : term, X1 : subst]:
% 1.95/0.94 ((sub @ ('#sk2' @ sh @ one) @ (push @ X0 @ X1))
% 1.95/0.94 = ('#sk1' @ (comp @ sh @ (push @ X0 @ X1)) @ X0))),
% 1.95/0.94 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl63])).
% 1.95/0.94 thf(zip_derived_cl5, plain, ( (axshiftcons)),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
% 1.95/0.94 thf(axshiftcons, axiom, (axshiftcons) =>
% 1.95/0.94 ((((!!) @ (^[Y0 : term]:
% 1.95/0.94 (((!!) @ (^[Y1 : subst]:
% 1.95/0.94 (((comp @ sh @ (push @ Y0 @ Y1)) = (Y1)))))))))
% 1.95/0.94 = ($true))).
% 1.95/0.94 thf('5', plain,
% 1.95/0.94 (( axshiftcons ) <=>
% 1.95/0.94 ( ![X5:term,X7:subst]: ( ( comp @ sh @ ( push @ X5 @ X7 ) ) = ( X7 ) ) )),
% 1.95/0.94 inference('rw.lit', [status(esa)], [axshiftcons])).
% 1.95/0.94 thf(zip_derived_cl9, plain,
% 1.95/0.94 ( (((!!) @ (^[Y0 : term]:
% 1.95/0.94 (((!!) @ (^[Y1 : subst]:
% 1.95/0.94 (((comp @ sh @ (push @ Y0 @ Y1)) = (Y1)))))))))),
% 1.95/0.94 inference('rw_clause', [status(thm)], [zip_derived_cl5, '5'])).
% 1.95/0.94 thf(zip_derived_cl13, plain,
% 1.95/0.94 ( (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (comp @ sh))) @ push)))))) @
% 1.95/0.94 ('#I')))))))),
% 1.95/0.94 inference('comb-normalize', [status(thm)], [zip_derived_cl9])).
% 1.95/0.94 thf(zip_derived_cl14, plain,
% 1.95/0.94 (![X2 : term]:
% 1.95/0.94 (((!!) @ ((('#S') @ ((('#B') @ (=) @
% 1.95/0.94 ((('#B') @ (comp @ sh) @ (push @ X2))))) @
% 1.95/0.94 ('#I')))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
% 1.95/0.94 thf(zip_derived_cl18, plain,
% 1.95/0.94 (![X2 : term, X4 : subst]: (((comp @ sh @ (push @ X2 @ X4)) = (X4)))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 1.95/0.94 thf(zip_derived_cl23, plain,
% 1.95/0.94 (![X2 : term, X4 : subst]: ((comp @ sh @ (push @ X2 @ X4)) = (X4))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])).
% 1.95/0.94 thf(zip_derived_cl140, plain,
% 1.95/0.94 (![X0 : term, X1 : subst]:
% 1.95/0.94 ((sub @ ('#sk2' @ sh @ one) @ (push @ X0 @ X1)) = ('#sk1' @ X1 @ X0))),
% 1.95/0.94 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl23])).
% 1.95/0.94 thf(zip_derived_cl17, plain,
% 1.95/0.94 (![X2 : term, X4 : subst]: ((sub @ one @ (push @ X2 @ X4)) = (X2))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
% 1.95/0.94 thf(zip_derived_cl34, plain,
% 1.95/0.94 ( (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#B') @ ((('#B') @ (!!))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ ('#S'))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @
% 1.95/0.94 ((('#B') @ ((('#B') @ sub)) @ '#sk2')))))))) @
% 1.95/0.94 ((('#C') @ ((('#B') @ ('#B') @
% 1.95/0.94 ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ '#sk2')) @ comp)))))) @
% 1.95/0.94 sub))))))))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])).
% 1.95/0.94 thf(zip_derived_cl37, plain,
% 1.95/0.94 (![X2 : subst]:
% 1.95/0.94 (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @
% 1.95/0.94 ((('#B') @ sub @ ('#sk2' @ X2))))))) @
% 1.95/0.94 ((('#B') @ ((('#S') @ ((('#B') @ '#sk2' @ (comp @ X2))))) @
% 1.95/0.94 sub))))))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])).
% 1.95/0.94 thf(zip_derived_cl41, plain,
% 1.95/0.94 (![X2 : subst, X4 : term]:
% 1.95/0.94 (((!!) @ ((('#S') @ ((('#B') @ (=) @ (sub @ ('#sk2' @ X2 @ X4)))) @
% 1.95/0.94 ((('#S') @ ((('#B') @ '#sk2' @ (comp @ X2))) @ (sub @ X4)))))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])).
% 1.95/0.94 thf(zip_derived_cl44, plain,
% 1.95/0.94 (![X2 : subst, X4 : term, X6 : subst]:
% 1.95/0.94 (((sub @ ('#sk2' @ X2 @ X4) @ X6) = ('#sk2' @ (comp @ X2 @ X6) @
% 1.95/0.94 (sub @ X4 @ X6))))),
% 1.95/0.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])).
% 1.95/0.94 thf(zip_derived_cl46, plain,
% 1.95/0.94 (![X2 : subst, X4 : term, X6 : subst]:
% 1.95/0.94 ((sub @ ('#sk2' @ X2 @ X4) @ X6)
% 1.95/0.94 = ('#sk2' @ (comp @ X2 @ X6) @ (sub @ X4 @ X6)))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])).
% 1.95/0.94 thf(zip_derived_cl128, plain,
% 1.95/0.94 (![X0 : term, X1 : subst, X2 : subst]:
% 1.95/0.94 ((sub @ ('#sk2' @ X2 @ one) @ (push @ X0 @ X1))
% 1.95/0.94 = ('#sk2' @ (comp @ X2 @ (push @ X0 @ X1)) @ X0))),
% 1.95/0.94 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl46])).
% 1.95/0.94 thf(zip_derived_cl174, plain,
% 1.95/0.94 (![X0 : term, X1 : subst]:
% 1.95/0.94 (('#sk1' @ X1 @ X0) = ('#sk2' @ (comp @ sh @ (push @ X0 @ X1)) @ X0))),
% 1.95/0.94 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl128])).
% 1.95/0.94 thf(zip_derived_cl23, plain,
% 1.95/0.94 (![X2 : term, X4 : subst]: ((comp @ sh @ (push @ X2 @ X4)) = (X4))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])).
% 1.95/0.94 thf(zip_derived_cl181, plain,
% 1.95/0.94 (![X0 : term, X1 : subst]: (('#sk1' @ X1 @ X0) = ('#sk2' @ X1 @ X0))),
% 1.95/0.94 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl23])).
% 1.95/0.94 thf(zip_derived_cl39, plain,
% 1.95/0.94 (~ (((!!) @ ((('#B') @ (!!) @
% 1.95/0.94 ((('#S') @ ((('#B') @ ('#S') @
% 1.95/0.94 ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @
% 1.95/0.94 '#sk2'))))))),
% 1.95/0.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])).
% 1.95/0.94 thf(zip_derived_cl43, plain,
% 1.95/0.94 (~ (((!!) @ ((('#S') @ ((('#B') @ (=) @ ('#sk1' @ '#sk3'))) @
% 1.95/0.94 ('#sk2' @ '#sk3')))))),
% 1.95/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
% 1.95/0.94 thf(zip_derived_cl45, plain,
% 1.95/0.94 (~ ((('#sk1' @ '#sk3' @ '#sk4') = ('#sk2' @ '#sk3' @ '#sk4')))),
% 1.95/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])).
% 1.95/0.94 thf(zip_derived_cl47, plain,
% 1.95/0.94 ((('#sk1' @ '#sk3' @ '#sk4') != ('#sk2' @ '#sk3' @ '#sk4'))),
% 1.95/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl45])).
% 1.95/0.94 thf(zip_derived_cl187, plain,
% 1.95/0.94 ((('#sk1' @ '#sk3' @ '#sk4') != ('#sk1' @ '#sk3' @ '#sk4'))),
% 1.95/0.94 inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl47])).
% 1.95/0.94 thf(zip_derived_cl198, plain, ($false),
% 1.95/0.94 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 1.95/0.94
% 1.95/0.94 % SZS output end Refutation
% 1.95/0.94
% 1.95/0.94
% 1.95/0.94 % Terminating...
% 2.55/1.03 % Runner terminated.
% 2.55/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------