0.02/0.10	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.12	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ESLaI3HuVl true
0.12/0.32	% Computer : n019.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Tue Aug  9 06:18:06 EDT 2022
0.12/0.33	% CPUTime  : 
0.12/0.33	% Running portfolio for 960 s
0.12/0.33	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.33	% Number of cores: 8
0.12/0.33	% Python version: Python 3.6.8
0.12/0.33	% Running in HO mode
0.46/0.60	% Total configuration time : 828
0.46/0.60	% Estimated wc time : 1656
0.46/0.60	% Estimated cpu time (8 cpus) : 207.0
0.47/0.69	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.47/0.69	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.47/0.69	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.47/0.69	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.47/0.69	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.47/0.69	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.47/0.70	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.47/0.70	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
0.49/0.74	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
0.49/0.89	% Solved by lams/40_b.comb.sh.
0.49/0.89	% done 26 iterations in 0.147s
0.49/0.89	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.49/0.89	% SZS output start Refutation
0.49/0.89	thf(term_type, type, term: $tType).
0.49/0.89	thf(subst_type, type, subst: $tType).
0.49/0.89	thf(hoaslaminj_lthm_type, type, hoaslaminj_lthm: $o).
0.49/0.89	thf(sh_type, type, sh: subst).
0.49/0.89	thf(laminj_type, type, laminj: $o).
0.49/0.89	thf(sub_type, type, sub: term > subst > term).
0.49/0.89	thf(push_type, type, push: term > subst > subst).
0.49/0.89	thf('#sk2_type', type, '#sk2': subst > term > term).
0.49/0.89	thf(id_type, type, id: subst).
0.49/0.89	thf('#sk3_type', type, '#sk3': subst).
0.49/0.89	thf(lam_type, type, lam: term > term).
0.49/0.89	thf(one_type, type, one: term).
0.49/0.89	thf(axshiftcons_type, type, axshiftcons: $o).
0.49/0.89	thf('#sk4_type', type, '#sk4': term).
0.49/0.89	thf(comp_type, type, comp: subst > subst > subst).
0.49/0.89	thf(axvarcons_type, type, axvarcons: $o).
0.49/0.89	thf(hoaslaminj_type, type, hoaslaminj: $o).
0.49/0.89	thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term).
0.49/0.89	thf('#sk1_type', type, '#sk1': subst > term > term).
0.49/0.89	thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
0.49/0.89	thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
0.49/0.89	thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
0.49/0.89	thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
0.49/0.89	thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
0.49/0.89	thf(thm, conjecture, (hoaslaminj_lthm)).
0.49/0.89	thf(zf_stmt_0, negated_conjecture, (~( hoaslaminj_lthm )),
0.49/0.89	  inference('cnf.neg', [status(esa)], [thm])).
0.49/0.89	thf(zip_derived_cl0, plain, (~ (hoaslaminj_lthm)),
0.49/0.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.49/0.89	thf(hoaslaminj_lthm, axiom, ~ (hoaslaminj_lthm) =>
0.49/0.89	  ((((axvarcons) => (((axshiftcons) => (((laminj) => (hoaslaminj))))))) !=
0.49/0.89	   ($true))).
0.49/0.89	thf('0', plain,
0.49/0.89	    (( ~( hoaslaminj_lthm ) ) <=>
0.49/0.89	     ( ~( ( axvarcons ) =>
0.49/0.89	          ( ( axshiftcons ) => ( ( laminj ) => ( hoaslaminj ) ) ) ) )),
0.49/0.89	    inference('rw.lit', [status(esa)], [hoaslaminj_lthm])).
0.49/0.89	thf(zip_derived_cl1, plain,
0.49/0.89	    (~ (((axvarcons) => (((axshiftcons) => (((laminj) => (hoaslaminj)))))))),
0.49/0.89	    inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
0.49/0.89	thf(zip_derived_cl3, plain,
0.49/0.89	    (~ (((axshiftcons) => (((laminj) => (hoaslaminj)))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
0.49/0.89	thf(zip_derived_cl6, plain, (~ (((laminj) => (hoaslaminj)))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
0.49/0.89	thf(zip_derived_cl11, plain, (~ (hoaslaminj)),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
0.49/0.89	thf(hoaslaminj, axiom, ~ (hoaslaminj) =>
0.49/0.89	  ((((!!) @ (^[Y0 : subst > term > term]:
0.49/0.89	               (((((!!) @ (^[Y1 : subst]:
0.49/0.89	                             (((!!) @ (^[Y2 : term]:
0.49/0.89	                                         (((!!) @ (^[Y3 : subst]:
0.49/0.89	                                                     (((sub @ 
0.49/0.89	                                                       (Y0 @ Y1 @ Y2) @ Y3) =
0.49/0.89	                                                       (Y0 @ 
0.49/0.89	                                                       (comp @ Y1 @ Y3) @ 
0.49/0.89	                                                       (sub @ Y2 @ Y3))))))))))))) =>
0.49/0.89	                 (((!!) @ (^[Y1 : subst > term > term]:
0.49/0.89	                             (((((!!) @ (^[Y2 : subst]:
0.49/0.89	                                           (((!!) @ (^[Y3 : term]:
0.49/0.89	                                                       (((!!) @ (^[Y4 : subst]:
0.49/0.89	                                                                   ((
0.49/0.89	                                                                    (sub @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    Y1 @ 
0.49/0.89	                                                                    Y2 @ Y3) @ 
0.49/0.89	                                                                    Y4) =
0.49/0.89	                                                                    (Y1 @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    comp @ 
0.49/0.89	                                                                    Y2 @ Y4) @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    sub @ 
0.49/0.89	                                                                    Y3 @ Y4))))))))))))) =>
0.49/0.89	                               (((((hoaslam @ id @ 
0.49/0.89	                                   (^[Y2 : subst,Y3 : term]: (Y0 @ Y2 @ Y3))) =
0.49/0.89	                                   (hoaslam @ id @ 
0.49/0.89	                                   (^[Y2 : subst,Y3 : term]: (Y1 @ Y2 @ Y3))))) =>
0.49/0.89	                                 (((!!) @ (^[Y2 : subst]:
0.49/0.89	                                             (((!!) @ (^[Y3 : term]:
0.49/0.89	                                                         (((Y0 @ Y2 @ Y3) =
0.49/0.89	                                                           (Y1 @ Y2 @ Y3)))))))))))))))))))))
0.49/0.89	   != ($true))).
0.49/0.89	thf('1', plain,
0.49/0.89	    (( ~( hoaslaminj ) ) <=>
0.49/0.89	     ( ~( ![X5:( subst > term > term )]:
0.49/0.89	          ( ( ![X7:subst,X9:term,X11:subst]:
0.49/0.89	              ( ( sub @ ( X5 @ X7 @ X9 ) @ X11 ) =
0.49/0.89	                ( X5 @ ( comp @ X7 @ X11 ) @ ( sub @ X9 @ X11 ) ) ) ) =>
0.49/0.89	            ( ![X13:( subst > term > term )]:
0.49/0.89	              ( ( ![X15:subst,X17:term,X19:subst]:
0.49/0.89	                  ( ( sub @ ( X13 @ X15 @ X17 ) @ X19 ) =
0.49/0.89	                    ( X13 @ ( comp @ X15 @ X19 ) @ ( sub @ X17 @ X19 ) ) ) ) =>
0.49/0.89	                ( ( ( hoaslam @
0.49/0.89	                      id @ ( ^[V_1:subst,V_2:term]: ( X5 @ V_1 @ V_2 ) ) ) =
0.49/0.89	                    ( hoaslam @
0.49/0.89	                      id @ ( ^[V_3:subst,V_4:term]: ( X13 @ V_3 @ V_4 ) ) ) ) =>
0.49/0.89	                  ( ![X21:subst,X23:term]:
0.49/0.89	                    ( ( X5 @ X21 @ X23 ) = ( X13 @ X21 @ X23 ) ) ) ) ) ) ) ) )),
0.49/0.89	    inference('rw.lit', [status(esa)], [hoaslaminj])).
0.49/0.89	thf(zip_derived_cl16, plain,
0.49/0.89	    (~ (((!!) @ (^[Y0 : subst > term > term]:
0.49/0.89	                   (((((!!) @ (^[Y1 : subst]:
0.49/0.89	                                 (((!!) @ (^[Y2 : term]:
0.49/0.89	                                             (((!!) @ (^[Y3 : subst]:
0.49/0.89	                                                         (((sub @ 
0.49/0.89	                                                           (Y0 @ Y1 @ Y2) @ 
0.49/0.89	                                                           Y3) = (Y0 @ 
0.49/0.89	                                                           (comp @ Y1 @ Y3) @ 
0.49/0.89	                                                           (sub @ Y2 @ Y3))))))))))))) =>
0.49/0.89	                     (((!!) @ (^[Y1 : subst > term > term]:
0.49/0.89	                                 (((((!!) @ (^[Y2 : subst]:
0.49/0.89	                                               (((!!) @ (^[Y3 : term]:
0.49/0.89	                                                           (((!!) @ (
0.49/0.89	                                                             ^[Y4 : subst]:
0.49/0.89	                                                               (((sub @ 
0.49/0.89	                                                                 (Y1 @ Y2 @ 
0.49/0.89	                                                                  Y3) @ 
0.49/0.89	                                                                 Y4) = (Y1 @ 
0.49/0.89	                                                                 (comp @ 
0.49/0.89	                                                                  Y2 @ Y4) @ 
0.49/0.89	                                                                 (sub @ Y3 @ 
0.49/0.89	                                                                  Y4))))))))))))) =>
0.49/0.89	                                   (((((hoaslam @ id @ 
0.49/0.89	                                       (^[Y2 : subst,Y3 : term]:
0.49/0.89	                                          (Y0 @ Y2 @ Y3))) =
0.49/0.89	                                       (hoaslam @ id @ 
0.49/0.89	                                       (^[Y2 : subst,Y3 : term]:
0.49/0.89	                                          (Y1 @ Y2 @ Y3))))) =>
0.49/0.89	                                     (((!!) @ (^[Y2 : subst]:
0.49/0.89	                                                 (((!!) @ (^[Y3 : term]:
0.49/0.89	                                                             (((Y0 @ Y2 @ 
0.49/0.89	                                                               Y3) = (Y1 @ 
0.49/0.89	                                                               Y2 @ Y3)))))))))))))))))))))),
0.49/0.89	    inference('rw_clause', [status(thm)], [zip_derived_cl11, '1'])).
0.49/0.89	thf(zip_derived_cl21, plain,
0.49/0.89	    (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                             ((('#B') @ (!!) @ 
0.49/0.89	                               ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                                 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
0.49/0.89	                                   ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                                ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                                  ((('#B') @ ((('#B') @ (
0.49/0.89	                                                               (('#B') @ (
0.49/0.89	                                                                '#S'))))) @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 (('#B') @ (
0.49/0.89	                                                                  (('#B') @ (
0.49/0.89	                                                                   =))))))) @ 
0.49/0.89	                                                      ((('#B') @ ((('#B') @ sub)))))))))))) @ 
0.49/0.89	                                     ((('#C') @ ((('#B') @ ('#C') @ 
0.49/0.89	                                                  ((('#B') @ ((('#B') @ (
0.49/0.89	                                                               '#B'))) @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 '#S'))) @ 
0.49/0.89	                                                      ((('#C') @ ((('#B') @ (
0.49/0.89	                                                                   '#B') @ 
0.49/0.89	                                                                   ('#B'))) @ 
0.49/0.89	                                                        comp)))))))) @ 
0.49/0.89	                                       sub)))))))))))) @ 
0.49/0.89	                  ((('#B') @ (!!) @ 
0.49/0.89	                    ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                                            ((('#B') @ (!!) @ 
0.49/0.89	                                              ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                                                ((('#B') @ ((('#B') @ (
0.49/0.89	                                                             (('#B') @ (!!))))) @ 
0.49/0.89	                                                  ((('#S') @ ((('#B') @ (
0.49/0.89	                                                               '#S') @ 
0.49/0.89	                                                               ((('#B') @ (
0.49/0.89	                                                                 (('#B') @ (
0.49/0.89	                                                                  '#S'))) @ 
0.49/0.89	                                                                 ((('#B') @ (
0.49/0.89	                                                                   (('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    '#S'))))) @ 
0.49/0.89	                                                                   ((
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    =))))))) @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ sub)))))))))))) @ 
0.49/0.89	                                                    ((('#C') @ ((('#B') @ (
0.49/0.89	                                                                 '#C') @ 
0.49/0.89	                                                                 ((('#B') @ (
0.49/0.89	                                                                   (('#B') @ (
0.49/0.89	                                                                    '#B'))) @ 
0.49/0.89	                                                                   ((
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    '#S'))) @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#C') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    '#B') @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    '#B'))) @ 
0.49/0.89	                                                                    comp)))))))) @ 
0.49/0.89	                                                      sub)))))))))))))) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ (=>))) @ 
0.49/0.89	                                     ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                                  ((('#B') @ (=) @ 
0.49/0.89	                                                    (hoaslam @ id))))) @ 
0.49/0.89	                                       (hoaslam @ id))))))) @ 
0.49/0.89	                        ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                          ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
0.49/0.89	                            ((('#B') @ ('#S') @ 
0.49/0.89	                              ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ (=)))))))))))))))))))))))),
0.49/0.89	    inference('comb-normalize', [status(thm)], [zip_derived_cl16])).
0.49/0.89	thf(zip_derived_cl22, plain,
0.49/0.89	    (~ (((((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                    ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                     ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ sub)) @ '#sk1')))))))) @ 
0.49/0.89	                        ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                     ((('#B') @ ('#S') @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ '#sk1')) @ comp)))))) @ 
0.49/0.89	                          sub)))))))))) =>
0.49/0.89	         (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                               ((('#B') @ (!!) @ 
0.49/0.89	                                 ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
0.49/0.89	                                     ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                                  ((('#B') @ ((('#B') @ (
0.49/0.89	                                                               '#S'))) @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 (('#B') @ (
0.49/0.89	                                                                  '#S'))))) @ 
0.49/0.89	                                                      ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                   (('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    =))))))) @ 
0.49/0.89	                                                        ((('#B') @ ((
0.49/0.89	                                                                    ('#B') @ sub)))))))))))) @ 
0.49/0.89	                                       ((('#C') @ ((('#B') @ ('#C') @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 '#B'))) @ 
0.49/0.89	                                                      ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                   '#S'))) @ 
0.49/0.89	                                                        ((('#C') @ ((
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    '#B') @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    '#B'))) @ 
0.49/0.89	                                                          comp)))))))) @ 
0.49/0.89	                                         sub)))))))))))) @ 
0.49/0.89	                    ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                                 ((('#B') @ (((term) = (hoaslam @ id @ 
0.49/0.89	                                              '#sk1'))) @ 
0.49/0.89	                                   (hoaslam @ id))))) @ 
0.49/0.89	                      ((('#B') @ (!!) @ 
0.49/0.89	                        ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                          ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ (=))) @ '#sk1'))))))))))))))))))),
0.49/0.89	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])).
0.49/0.89	thf(hoaslam, axiom,(( hoaslam @ (X1)@ (X0)) = ((lam @ (X0 @ sh @ one))))).
0.49/0.89	thf('2', plain,
0.49/0.89	    (![X1:subst,X0:( subst > term > term )]:
0.49/0.89	     ( ( hoaslam @ X1 @ X0 ) = ( lam @ ( X0 @ sh @ one ) ) )),
0.49/0.89	    define([status(thm)])).
0.49/0.89	thf(zip_derived_cl25, plain,
0.49/0.89	    (~ (((((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                    ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                     ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ sub)) @ '#sk1')))))))) @ 
0.49/0.89	                        ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                     ((('#B') @ ('#S') @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ '#sk1')) @ comp)))))) @ 
0.49/0.89	                          sub)))))))))) =>
0.49/0.89	         (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                               ((('#B') @ (!!) @ 
0.49/0.89	                                 ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
0.49/0.89	                                     ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                                  ((('#B') @ ((('#B') @ (
0.49/0.89	                                                               '#S'))) @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 (('#B') @ (
0.49/0.89	                                                                  '#S'))))) @ 
0.49/0.89	                                                      ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                   (('#B') @ (
0.49/0.89	                                                                    (
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    =))))))) @ 
0.49/0.89	                                                        ((('#B') @ ((
0.49/0.89	                                                                    ('#B') @ sub)))))))))))) @ 
0.49/0.89	                                       ((('#C') @ ((('#B') @ ('#C') @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 '#B'))) @ 
0.49/0.89	                                                      ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                   '#S'))) @ 
0.49/0.89	                                                        ((('#C') @ ((
0.49/0.89	                                                                    ('#B') @ (
0.49/0.89	                                                                    '#B') @ 
0.49/0.89	                                                                    (
0.49/0.89	                                                                    '#B'))) @ 
0.49/0.89	                                                          comp)))))))) @ 
0.49/0.89	                                         sub)))))))))))) @ 
0.49/0.89	                    ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                                 ((('#B') @ (((term) = (lam @ 
0.49/0.89	                                              ('#sk1' @ sh @ one)))) @ 
0.49/0.89	                                   (hoaslam @ id))))) @ 
0.49/0.89	                      ((('#B') @ (!!) @ 
0.49/0.89	                        ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                          ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ (=))) @ '#sk1'))))))))))))))))))),
0.49/0.89	    inference('rw', [status(thm)], [zip_derived_cl22, '2'])).
0.49/0.89	thf(zip_derived_cl27, plain,
0.49/0.89	    (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                             ((('#B') @ (!!) @ 
0.49/0.89	                               ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                                 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
0.49/0.89	                                   ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                                ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                                  ((('#B') @ ((('#B') @ (
0.49/0.89	                                                               (('#B') @ (
0.49/0.89	                                                                '#S'))))) @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 (('#B') @ (
0.49/0.89	                                                                  (('#B') @ (
0.49/0.89	                                                                   =))))))) @ 
0.49/0.89	                                                      ((('#B') @ ((('#B') @ sub)))))))))))) @ 
0.49/0.89	                                     ((('#C') @ ((('#B') @ ('#C') @ 
0.49/0.89	                                                  ((('#B') @ ((('#B') @ (
0.49/0.89	                                                               '#B'))) @ 
0.49/0.89	                                                    ((('#B') @ ((('#B') @ (
0.49/0.89	                                                                 '#S'))) @ 
0.49/0.89	                                                      ((('#C') @ ((('#B') @ (
0.49/0.89	                                                                   '#B') @ 
0.49/0.89	                                                                   ('#B'))) @ 
0.49/0.89	                                                        comp)))))))) @ 
0.49/0.89	                                       sub)))))))))))) @ 
0.49/0.89	                  ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                               ((('#B') @ (((term) = (lam @ 
0.49/0.89	                                            ('#sk1' @ sh @ one)))) @ 
0.49/0.89	                                 (hoaslam @ id))))) @ 
0.49/0.89	                    ((('#B') @ (!!) @ 
0.49/0.89	                      ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                        ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                     ((('#B') @ ((('#B') @ (=))) @ '#sk1'))))))))))))))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
0.49/0.89	thf(zip_derived_cl30, plain,
0.49/0.89	    (~ (((((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                    ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                     ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ sub)) @ '#sk2')))))))) @ 
0.49/0.89	                        ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                     ((('#B') @ ('#S') @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ '#sk2')) @ comp)))))) @ 
0.49/0.89	                          sub)))))))))) =>
0.49/0.89	         (((((lam @ ('#sk1' @ sh @ one)) = (hoaslam @ id @ '#sk2'))) =>
0.49/0.89	           (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @ 
0.49/0.89	                        '#sk2'))))))))))),
0.49/0.89	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])).
0.49/0.89	thf(zip_derived_cl33, plain,
0.49/0.89	    (~ (((((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                    ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                     ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ sub)) @ '#sk2')))))))) @ 
0.49/0.89	                        ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                     ((('#B') @ ('#S') @ 
0.49/0.89	                                       ((('#B') @ ((('#B') @ '#sk2')) @ comp)))))) @ 
0.49/0.89	                          sub)))))))))) =>
0.49/0.89	         (((((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))) =>
0.49/0.89	           (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                      ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                   ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @ 
0.49/0.89	                        '#sk2'))))))))))),
0.49/0.89	    inference('rw', [status(thm)], [zip_derived_cl30, '2'])).
0.49/0.89	thf(zip_derived_cl35, plain,
0.49/0.89	    (~ (((((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))) =>
0.49/0.89	         (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                    ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                 ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @ 
0.49/0.89	                      '#sk2'))))))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])).
0.49/0.89	thf(zip_derived_cl38, plain,
0.49/0.89	    ( (((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])).
0.49/0.89	thf(zip_derived_cl42, plain,
0.49/0.89	    (((lam @ ('#sk1' @ sh @ one)) = (lam @ ('#sk2' @ sh @ one)))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])).
0.49/0.89	thf(zip_derived_cl10, plain, ( (laminj)),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
0.49/0.89	thf(laminj, axiom, (laminj) =>
0.49/0.89	  ((((!!) @ (^[Y0 : term]:
0.49/0.89	               (((!!) @ (^[Y1 : term]:
0.49/0.89	                           (((((lam @ Y0) = (lam @ Y1))) => (((Y0) = (Y1)))))))))))
0.49/0.89	   = ($true))).
0.49/0.89	thf('3', plain,
0.49/0.89	    (( laminj ) <=>
0.49/0.89	     ( ![X5:term,X7:term]:
0.49/0.89	       ( ( ( lam @ X5 ) = ( lam @ X7 ) ) => ( ( X5 ) = ( X7 ) ) ) )),
0.49/0.89	    inference('rw.lit', [status(esa)], [laminj])).
0.49/0.89	thf(zip_derived_cl15, plain,
0.49/0.89	    ( (((!!) @ (^[Y0 : term]:
0.49/0.89	                  (((!!) @ (^[Y1 : term]:
0.49/0.89	                              (((((lam @ Y0) = (lam @ Y1))) =>
0.49/0.89	                                (((Y0) = (Y1)))))))))))),
0.49/0.89	    inference('rw_clause', [status(thm)], [zip_derived_cl10, '3'])).
0.49/0.89	thf(zip_derived_cl19, plain,
0.49/0.89	    ( (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                 ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                              ((('#B') @ ((('#B') @ (=>))) @ 
0.49/0.89	                                ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                             ((('#B') @ (=) @ lam)))) @ 
0.49/0.89	                                  lam)))))) @ 
0.49/0.89	                   (=)))))))),
0.49/0.89	    inference('comb-normalize', [status(thm)], [zip_derived_cl15])).
0.49/0.89	thf(zip_derived_cl20, plain,
0.49/0.89	    (![X2 : term]:
0.49/0.89	        (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
0.49/0.89	                              ((('#B') @ (((term) = (lam @ X2))) @ lam)))) @ 
0.49/0.89	                   (((term) = (X2)))))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
0.49/0.89	thf(zip_derived_cl24, plain,
0.49/0.89	    (![X2 : term, X4 : term]:
0.49/0.89	        (((((lam @ X2) = (lam @ X4))) => (((X2) = (X4)))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
0.49/0.89	thf(zip_derived_cl28, plain,
0.49/0.89	    (![X2 : term, X4 : term]:
0.49/0.89	       (~ (((lam @ X2) = (lam @ X4))) |  (((X2) = (X4))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
0.49/0.89	thf(zip_derived_cl31, plain,
0.49/0.89	    (![X2 : term, X4 : term]: (((lam @ X2) != (lam @ X4)) | ((X2) = (X4)))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl28])).
0.49/0.89	thf(zip_derived_cl65, plain,
0.49/0.89	    (![X0 : term]:
0.49/0.89	       (((lam @ ('#sk1' @ sh @ one)) != (lam @ X0))
0.49/0.89	        | (('#sk2' @ sh @ one) = (X0)))),
0.49/0.89	    inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl31])).
0.49/0.89	thf(zip_derived_cl76, plain, ((('#sk2' @ sh @ one) = ('#sk1' @ sh @ one))),
0.49/0.89	    inference('eq_res', [status(thm)], [zip_derived_cl65])).
0.49/0.89	thf(zip_derived_cl2, plain, ( (axvarcons)),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
0.49/0.89	thf(axvarcons, axiom, (axvarcons) =>
0.49/0.89	  ((((!!) @ (^[Y0 : term]:
0.49/0.89	               (((!!) @ (^[Y1 : subst]:
0.49/0.89	                           (((sub @ one @ (push @ Y0 @ Y1)) = (Y0)))))))))
0.49/0.89	   = ($true))).
0.49/0.89	thf('4', plain,
0.49/0.89	    (( axvarcons ) <=>
0.49/0.89	     ( ![X5:term,X7:subst]: ( ( sub @ one @ ( push @ X5 @ X7 ) ) = ( X5 ) ) )),
0.49/0.89	    inference('rw.lit', [status(esa)], [axvarcons])).
0.49/0.89	thf(zip_derived_cl4, plain,
0.49/0.89	    ( (((!!) @ (^[Y0 : term]:
0.49/0.89	                  (((!!) @ (^[Y1 : subst]:
0.49/0.89	                              (((sub @ one @ (push @ Y0 @ Y1)) = (Y0)))))))))),
0.49/0.89	    inference('rw_clause', [status(thm)], [zip_derived_cl2, '4'])).
0.49/0.89	thf(zip_derived_cl7, plain,
0.49/0.89	    ( (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                 ((('#S') @ ((('#B') @ ('#C') @ 
0.49/0.89	                              ((('#B') @ ((('#B') @ (=))) @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ (sub @ one))) @ push)))))) @ 
0.49/0.89	                   ('#I')))))))),
0.49/0.89	    inference('comb-normalize', [status(thm)], [zip_derived_cl4])).
0.49/0.89	thf(zip_derived_cl8, plain,
0.49/0.89	    (![X2 : term]:
0.49/0.89	        (((!!) @ ((('#C') @ ((('#B') @ (=) @ 
0.49/0.89	                              ((('#B') @ (sub @ one) @ (push @ X2))))) @ 
0.49/0.89	                   X2))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
0.49/0.89	thf(zip_derived_cl12, plain,
0.49/0.89	    (![X2 : term, X4 : subst]:  (((sub @ one @ (push @ X2 @ X4)) = (X2)))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
0.49/0.89	thf(zip_derived_cl17, plain,
0.49/0.89	    (![X2 : term, X4 : subst]: ((sub @ one @ (push @ X2 @ X4)) = (X2))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
0.49/0.89	thf(zip_derived_cl26, plain,
0.49/0.89	    ( (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                 ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                   ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                  ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
0.49/0.89	                                    ((('#B') @ ((('#B') @ sub)) @ '#sk1')))))))) @ 
0.49/0.89	                     ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                  ((('#B') @ ('#S') @ 
0.49/0.89	                                    ((('#B') @ ((('#B') @ '#sk1')) @ comp)))))) @ 
0.49/0.89	                       sub))))))))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
0.49/0.89	thf(zip_derived_cl29, plain,
0.49/0.89	    (![X2 : subst]:
0.49/0.89	        (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                   ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ (=))) @ 
0.49/0.89	                                  ((('#B') @ sub @ ('#sk1' @ X2))))))) @ 
0.49/0.89	                     ((('#B') @ ((('#S') @ ((('#B') @ '#sk1' @ (comp @ X2))))) @ 
0.49/0.89	                       sub))))))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])).
0.49/0.89	thf(zip_derived_cl32, plain,
0.49/0.89	    (![X2 : subst, X4 : term]:
0.49/0.89	        (((!!) @ ((('#S') @ ((('#B') @ (=) @ (sub @ ('#sk1' @ X2 @ X4)))) @ 
0.49/0.89	                   ((('#S') @ ((('#B') @ '#sk1' @ (comp @ X2))) @ (sub @ X4)))))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
0.49/0.89	thf(zip_derived_cl36, plain,
0.49/0.89	    (![X2 : subst, X4 : term, X6 : subst]:
0.49/0.89	        (((sub @ ('#sk1' @ X2 @ X4) @ X6) = ('#sk1' @ (comp @ X2 @ X6) @ 
0.49/0.89	          (sub @ X4 @ X6))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])).
0.49/0.89	thf(zip_derived_cl40, plain,
0.49/0.89	    (![X2 : subst, X4 : term, X6 : subst]:
0.49/0.89	       ((sub @ ('#sk1' @ X2 @ X4) @ X6)
0.49/0.89	         = ('#sk1' @ (comp @ X2 @ X6) @ (sub @ X4 @ X6)))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])).
0.49/0.89	thf(zip_derived_cl63, plain,
0.49/0.89	    (![X0 : term, X1 : subst, X2 : subst]:
0.49/0.89	       ((sub @ ('#sk1' @ X2 @ one) @ (push @ X0 @ X1))
0.49/0.89	         = ('#sk1' @ (comp @ X2 @ (push @ X0 @ X1)) @ X0))),
0.49/0.89	    inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl40])).
0.49/0.89	thf(zip_derived_cl138, plain,
0.49/0.89	    (![X0 : term, X1 : subst]:
0.49/0.89	       ((sub @ ('#sk2' @ sh @ one) @ (push @ X0 @ X1))
0.49/0.89	         = ('#sk1' @ (comp @ sh @ (push @ X0 @ X1)) @ X0))),
0.49/0.89	    inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl63])).
0.49/0.89	thf(zip_derived_cl5, plain, ( (axshiftcons)),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])).
0.49/0.89	thf(axshiftcons, axiom, (axshiftcons) =>
0.49/0.89	  ((((!!) @ (^[Y0 : term]:
0.49/0.89	               (((!!) @ (^[Y1 : subst]:
0.49/0.89	                           (((comp @ sh @ (push @ Y0 @ Y1)) = (Y1)))))))))
0.49/0.89	   = ($true))).
0.49/0.89	thf('5', plain,
0.49/0.89	    (( axshiftcons ) <=>
0.49/0.89	     ( ![X5:term,X7:subst]: ( ( comp @ sh @ ( push @ X5 @ X7 ) ) = ( X7 ) ) )),
0.49/0.89	    inference('rw.lit', [status(esa)], [axshiftcons])).
0.49/0.89	thf(zip_derived_cl9, plain,
0.49/0.89	    ( (((!!) @ (^[Y0 : term]:
0.49/0.89	                  (((!!) @ (^[Y1 : subst]:
0.49/0.89	                              (((comp @ sh @ (push @ Y0 @ Y1)) = (Y1)))))))))),
0.49/0.89	    inference('rw_clause', [status(thm)], [zip_derived_cl5, '5'])).
0.49/0.89	thf(zip_derived_cl13, plain,
0.49/0.89	    ( (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                 ((('#C') @ ((('#B') @ ('#S') @ 
0.49/0.89	                              ((('#B') @ ((('#B') @ (=))) @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ (comp @ sh))) @ push)))))) @ 
0.49/0.89	                   ('#I')))))))),
0.49/0.89	    inference('comb-normalize', [status(thm)], [zip_derived_cl9])).
0.49/0.89	thf(zip_derived_cl14, plain,
0.49/0.89	    (![X2 : term]:
0.49/0.89	        (((!!) @ ((('#S') @ ((('#B') @ (=) @ 
0.49/0.89	                              ((('#B') @ (comp @ sh) @ (push @ X2))))) @ 
0.49/0.89	                   ('#I')))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
0.49/0.89	thf(zip_derived_cl18, plain,
0.49/0.89	    (![X2 : term, X4 : subst]:  (((comp @ sh @ (push @ X2 @ X4)) = (X4)))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
0.49/0.89	thf(zip_derived_cl23, plain,
0.49/0.89	    (![X2 : term, X4 : subst]: ((comp @ sh @ (push @ X2 @ X4)) = (X4))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])).
0.49/0.89	thf(zip_derived_cl140, plain,
0.49/0.89	    (![X0 : term, X1 : subst]:
0.49/0.89	       ((sub @ ('#sk2' @ sh @ one) @ (push @ X0 @ X1)) = ('#sk1' @ X1 @ X0))),
0.49/0.89	    inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl23])).
0.49/0.89	thf(zip_derived_cl17, plain,
0.49/0.89	    (![X2 : term, X4 : subst]: ((sub @ one @ (push @ X2 @ X4)) = (X2))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
0.49/0.89	thf(zip_derived_cl34, plain,
0.49/0.89	    ( (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                 ((('#B') @ ((('#B') @ (!!))) @ 
0.49/0.89	                   ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ ('#S'))) @ 
0.49/0.89	                                  ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
0.49/0.89	                                    ((('#B') @ ((('#B') @ sub)) @ '#sk2')))))))) @ 
0.49/0.89	                     ((('#C') @ ((('#B') @ ('#B') @ 
0.49/0.89	                                  ((('#B') @ ('#S') @ 
0.49/0.89	                                    ((('#B') @ ((('#B') @ '#sk2')) @ comp)))))) @ 
0.49/0.89	                       sub))))))))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])).
0.49/0.89	thf(zip_derived_cl37, plain,
0.49/0.89	    (![X2 : subst]:
0.49/0.89	        (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                   ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                                ((('#B') @ ((('#B') @ (=))) @ 
0.49/0.89	                                  ((('#B') @ sub @ ('#sk2' @ X2))))))) @ 
0.49/0.89	                     ((('#B') @ ((('#S') @ ((('#B') @ '#sk2' @ (comp @ X2))))) @ 
0.49/0.89	                       sub))))))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])).
0.49/0.89	thf(zip_derived_cl41, plain,
0.49/0.89	    (![X2 : subst, X4 : term]:
0.49/0.89	        (((!!) @ ((('#S') @ ((('#B') @ (=) @ (sub @ ('#sk2' @ X2 @ X4)))) @ 
0.49/0.89	                   ((('#S') @ ((('#B') @ '#sk2' @ (comp @ X2))) @ (sub @ X4)))))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])).
0.49/0.89	thf(zip_derived_cl44, plain,
0.49/0.89	    (![X2 : subst, X4 : term, X6 : subst]:
0.49/0.89	        (((sub @ ('#sk2' @ X2 @ X4) @ X6) = ('#sk2' @ (comp @ X2 @ X6) @ 
0.49/0.89	          (sub @ X4 @ X6))))),
0.49/0.89	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])).
0.49/0.89	thf(zip_derived_cl46, plain,
0.49/0.89	    (![X2 : subst, X4 : term, X6 : subst]:
0.49/0.89	       ((sub @ ('#sk2' @ X2 @ X4) @ X6)
0.49/0.89	         = ('#sk2' @ (comp @ X2 @ X6) @ (sub @ X4 @ X6)))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])).
0.49/0.89	thf(zip_derived_cl128, plain,
0.49/0.89	    (![X0 : term, X1 : subst, X2 : subst]:
0.49/0.89	       ((sub @ ('#sk2' @ X2 @ one) @ (push @ X0 @ X1))
0.49/0.89	         = ('#sk2' @ (comp @ X2 @ (push @ X0 @ X1)) @ X0))),
0.49/0.89	    inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl46])).
0.49/0.89	thf(zip_derived_cl174, plain,
0.49/0.89	    (![X0 : term, X1 : subst]:
0.49/0.89	       (('#sk1' @ X1 @ X0) = ('#sk2' @ (comp @ sh @ (push @ X0 @ X1)) @ X0))),
0.49/0.89	    inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl128])).
0.49/0.89	thf(zip_derived_cl23, plain,
0.49/0.89	    (![X2 : term, X4 : subst]: ((comp @ sh @ (push @ X2 @ X4)) = (X4))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])).
0.49/0.89	thf(zip_derived_cl181, plain,
0.49/0.89	    (![X0 : term, X1 : subst]: (('#sk1' @ X1 @ X0) = ('#sk2' @ X1 @ X0))),
0.49/0.89	    inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl23])).
0.49/0.89	thf(zip_derived_cl39, plain,
0.49/0.89	    (~ (((!!) @ ((('#B') @ (!!) @ 
0.49/0.89	                  ((('#S') @ ((('#B') @ ('#S') @ 
0.49/0.89	                               ((('#B') @ ((('#B') @ (=))) @ '#sk1')))) @ 
0.49/0.89	                    '#sk2'))))))),
0.49/0.89	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])).
0.49/0.89	thf(zip_derived_cl43, plain,
0.49/0.89	    (~ (((!!) @ ((('#S') @ ((('#B') @ (=) @ ('#sk1' @ '#sk3'))) @ 
0.49/0.89	                  ('#sk2' @ '#sk3')))))),
0.49/0.89	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
0.49/0.89	thf(zip_derived_cl45, plain,
0.49/0.89	    (~ ((('#sk1' @ '#sk3' @ '#sk4') = ('#sk2' @ '#sk3' @ '#sk4')))),
0.49/0.89	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])).
0.49/0.89	thf(zip_derived_cl47, plain,
0.49/0.89	    ((('#sk1' @ '#sk3' @ '#sk4') != ('#sk2' @ '#sk3' @ '#sk4'))),
0.49/0.89	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl45])).
0.49/0.89	thf(zip_derived_cl187, plain,
0.49/0.89	    ((('#sk1' @ '#sk3' @ '#sk4') != ('#sk1' @ '#sk3' @ '#sk4'))),
0.49/0.89	    inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl47])).
0.49/0.89	thf(zip_derived_cl198, plain, ($false),
0.49/0.89	    inference('simplify', [status(thm)], [zip_derived_cl187])).
0.49/0.89	
0.49/0.89	% SZS output end Refutation
0.49/0.89	
0.49/0.89	
0.49/0.89	% Terminating...
0.49/0.92	% Runner terminated.
2.05/0.94	% Zipperpin 1.5 exiting
2.05/0.94	EOF
