0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.22	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VpDpZ7y1Au true
0.22/0.43	% Computer : n015.cluster.edu
0.22/0.43	% Model    : x86_64 x86_64
0.22/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.22/0.43	% Memory   : 8042.1875MB
0.22/0.43	% OS       : Linux 3.10.0-693.el7.x86_64
0.22/0.43	% CPULimit : 960
0.22/0.43	% WCLimit  : 120
0.22/0.43	% DateTime : Tue Aug  9 07:07:26 EDT 2022
0.22/0.43	% CPUTime  : 
0.22/0.43	% Running portfolio for 960 s
0.22/0.43	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.22/0.43	% Number of cores: 8
0.22/0.44	% Python version: Python 3.6.8
0.22/0.44	% Running in HO mode
0.42/0.74	% Total configuration time : 828
0.42/0.74	% Estimated wc time : 1656
0.42/0.74	% Estimated cpu time (8 cpus) : 207.0
0.42/0.79	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.42/0.81	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.42/0.81	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.42/0.84	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.42/0.84	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.42/0.84	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.42/0.84	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.42/0.84	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
0.42/0.92	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
95.47/12.70	% Solved by lams/40_b.comb.sh.
95.47/12.70	% running E: timeout 28 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.VpDpZ7y1Au/e_input4a789a --cpu-limit=26 --auto-schedule -s -p
95.47/12.70	% done 425 iterations in 11.795s
95.47/12.70	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
95.47/12.70	% SZS output start Refutation
95.47/12.70	thf(list_A2115238852le_alt_type, type, list_A2115238852le_alt: $tType).
95.47/12.70	thf(arrow_475358991le_alt_type, type, arrow_475358991le_alt: $tType).
95.47/12.70	thf(produc1501160679le_alt_type, type, produc1501160679le_alt: $tType).
95.47/12.70	thf(arrow_1429601828e_indi_type, type, arrow_1429601828e_indi: $tType).
95.47/12.70	thf(b_type, type, b: arrow_475358991le_alt).
95.47/12.70	thf(member377231867_alt_o_type, type, member377231867_alt_o: (produc1501160679le_alt > $o) > 
95.47/12.70	                                                             ((produc1501160679le_alt > $o) > $o) > $o).
95.47/12.70	thf(member84363362le_alt_type, type, member84363362le_alt: arrow_475358991le_alt > 
95.47/12.70	                                                           (arrow_475358991le_alt > $o) > $o).
95.47/12.70	thf(hd_Arr1965683346le_alt_type, type, hd_Arr1965683346le_alt: list_A2115238852le_alt > arrow_475358991le_alt).
95.47/12.70	thf(cons_A228743023le_alt_type, type, cons_A228743023le_alt: arrow_475358991le_alt > 
95.47/12.70	                                                             list_A2115238852le_alt > list_A2115238852le_alt).
95.47/12.70	thf(last_A1217315288le_alt_type, type, last_A1217315288le_alt: list_A2115238852le_alt > arrow_475358991le_alt).
95.47/12.70	thf(p_type, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o).
95.47/12.70	thf(member2052026769e_indi_type, type, member2052026769e_indi: arrow_1429601828e_indi > 
95.47/12.70	                                                               (arrow_1429601828e_indi > $o) > $o).
95.47/12.70	thf(arrow_823908191le_Lin_type, type, arrow_823908191le_Lin: (produc1501160679le_alt > $o) > $o).
95.47/12.70	thf(butlas274947851le_alt_type, type, butlas274947851le_alt: list_A2115238852le_alt > list_A2115238852le_alt).
95.47/12.70	thf(top_to988227749indi_o_type, type, top_to988227749indi_o: arrow_1429601828e_indi > $o).
95.47/12.70	thf('#ty_enc51_type', type, '#ty_enc51': ((produc1501160679le_alt > $o) > $o) > 
95.47/12.70	                                         arrow_1429601828e_indi > 
95.47/12.70	                                         (produc1501160679le_alt > $o) > $o).
95.47/12.70	thf(arrow_2098199487_below_type, type, arrow_2098199487_below: (produc1501160679le_alt > $o) > 
95.47/12.70	                                                               arrow_475358991le_alt > 
95.47/12.70	                                                               arrow_475358991le_alt > 
95.47/12.70	                                                               produc1501160679le_alt > $o).
95.47/12.70	thf(set_Ar577454304le_alt_type, type, set_Ar577454304le_alt: list_A2115238852le_alt > 
95.47/12.70	                                                             arrow_475358991le_alt > $o).
95.47/12.70	thf(pi_Arr1929480907_alt_o_type, type, pi_Arr1929480907_alt_o: (arrow_1429601828e_indi > $o) > 
95.47/12.70	                                                               (arrow_1429601828e_indi > 
95.47/12.70	                                                                (produc1501160679le_alt > $o) > $o) > 
95.47/12.70	                                                               (arrow_1429601828e_indi > 
95.47/12.70	                                                                produc1501160679le_alt > $o) > $o).
95.47/12.70	thf(distin236324274le_alt_type, type, distin236324274le_alt: list_A2115238852le_alt > $o).
95.47/12.70	thf(member214075476le_alt_type, type, member214075476le_alt: produc1501160679le_alt > 
95.47/12.70	                                                             (produc1501160679le_alt > $o) > $o).
95.47/12.70	thf(append179082452le_alt_type, type, append179082452le_alt: list_A2115238852le_alt > 
95.47/12.70	                                                             list_A2115238852le_alt > list_A2115238852le_alt).
95.47/12.70	thf(nil_Ar1286194111le_alt_type, type, nil_Ar1286194111le_alt: list_A2115238852le_alt).
95.47/12.70	thf(arrow_734252939e_Prof_type, type, arrow_734252939e_Prof: (arrow_1429601828e_indi > 
95.47/12.70	                                                              produc1501160679le_alt > $o) > $o).
95.47/12.70	thf('#sk6_type', type, '#sk6': arrow_1429601828e_indi).
95.47/12.70	thf(rev_Ar1106406943le_alt_type, type, rev_Ar1106406943le_alt: list_A2115238852le_alt > list_A2115238852le_alt).
95.47/12.70	thf(c_type, type, c: arrow_475358991le_alt).
95.47/12.70	thf(a_type, type, a: arrow_475358991le_alt).
95.47/12.70	thf(produc1347929815le_alt_type, type, produc1347929815le_alt: arrow_475358991le_alt > 
95.47/12.70	                                                               arrow_475358991le_alt > produc1501160679le_alt).
95.47/12.70	thf(member526088951_alt_o_type, type, member526088951_alt_o: (arrow_1429601828e_indi > 
95.47/12.70	                                                              produc1501160679le_alt > $o) > 
95.47/12.70	                                                             ((arrow_1429601828e_indi > 
95.47/12.70	                                                               produc1501160679le_alt > $o) > $o) > $o).
95.47/12.70	thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
95.47/12.70	thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
95.47/12.70	thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
95.47/12.70	thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
95.47/12.70	thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
95.47/12.70	thf(fact_37_list_Osimps_I2_J, axiom,
95.47/12.70	  (![A_23:arrow_475358991le_alt,List_4:list_A2115238852le_alt]:
95.47/12.70	   ( ( nil_Ar1286194111le_alt ) != ( cons_A228743023le_alt @ A_23 @ List_4 ) ))).
95.47/12.70	thf(zip_derived_cl298, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((nil_Ar1286194111le_alt) !=
95.47/12.70	                                (cons_A228743023le_alt @ Y0 @ Y1)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_37_list_Osimps_I2_J])).
95.47/12.70	thf(zip_derived_cl299, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#B') @ ((('#B') @ (((list_A2115238852le_alt) !=
95.47/12.70	                                         (nil_Ar1286194111le_alt))))) @ 
95.47/12.70	                   cons_A228743023le_alt))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl298])).
95.47/12.70	thf(zip_derived_cl407, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#B') @ (((list_A2115238852le_alt) !=
95.47/12.70	                              (nil_Ar1286194111le_alt))) @ 
95.47/12.70	                   (cons_A228743023le_alt @ X2)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl299])).
95.47/12.70	thf(zip_derived_cl408, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((nil_Ar1286194111le_alt) != (cons_A228743023le_alt @ X2 @ X4)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl407])).
95.47/12.70	thf(zip_derived_cl409, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((nil_Ar1286194111le_alt) != (cons_A228743023le_alt @ X2 @ X4))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl408])).
95.47/12.70	thf(fact_467_hd_Osimps, axiom,
95.47/12.70	  (![X_26:arrow_475358991le_alt,Xs_44:list_A2115238852le_alt]:
95.47/12.70	   ( ( hd_Arr1965683346le_alt @ ( cons_A228743023le_alt @ X_26 @ Xs_44 ) ) =
95.47/12.70	     ( X_26 ) ))).
95.47/12.70	thf(zip_derived_cl107, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((hd_Arr1965683346le_alt @ 
95.47/12.70	                                (cons_A228743023le_alt @ Y0 @ Y1)) = (Y0)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_467_hd_Osimps])).
95.47/12.70	thf(zip_derived_cl108, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#C') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ hd_Arr1965683346le_alt)) @ 
95.47/12.70	                                  cons_A228743023le_alt)))))) @ 
95.47/12.70	                   ('#I')))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl107])).
95.47/12.70	thf(zip_derived_cl475, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#C') @ ((('#B') @ (=) @ 
95.47/12.70	                              ((('#B') @ hd_Arr1965683346le_alt @ 
95.47/12.70	                                (cons_A228743023le_alt @ X2))))) @ 
95.47/12.70	                   X2))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl108])).
95.47/12.70	thf(zip_derived_cl476, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((hd_Arr1965683346le_alt @ (cons_A228743023le_alt @ X2 @ X4)) = (X2)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl475])).
95.47/12.70	thf(zip_derived_cl477, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((hd_Arr1965683346le_alt @ (cons_A228743023le_alt @ X2 @ X4)) = (X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl476])).
95.47/12.70	thf(fact_589_hd__in__set, axiom,
95.47/12.70	  (![Xs_9:list_A2115238852le_alt]:
95.47/12.70	   ( ( ( Xs_9 ) != ( nil_Ar1286194111le_alt ) ) =>
95.47/12.70	     ( member84363362le_alt @
95.47/12.70	       ( hd_Arr1965683346le_alt @ Xs_9 ) @ ( set_Ar577454304le_alt @ Xs_9 ) ) ))).
95.47/12.70	thf(zip_derived_cl116, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((((Y0) != (nil_Ar1286194111le_alt))) =>
95.47/12.70	                    (member84363362le_alt @ (hd_Arr1965683346le_alt @ Y0) @ 
95.47/12.70	                    (set_Ar577454304le_alt @ Y0)))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_589_hd__in__set])).
95.47/12.70	thf(zip_derived_cl117, plain,
95.47/12.70	    ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                            ((('#C') @ (!=) @ nil_Ar1286194111le_alt)))) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ member84363362le_alt @ 
95.47/12.70	                              hd_Arr1965683346le_alt)) @ 
95.47/12.70	                   set_Ar577454304le_alt))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl116])).
95.47/12.70	thf(zip_derived_cl416, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((((X2) != (nil_Ar1286194111le_alt))) => (member84363362le_alt @ 
95.47/12.70	          (hd_Arr1965683346le_alt @ X2) @ (set_Ar577454304le_alt @ X2))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl117])).
95.47/12.70	thf(zip_derived_cl417, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	       (~ (((X2) != (nil_Ar1286194111le_alt)))
95.47/12.70	        |  (member84363362le_alt @ (hd_Arr1965683346le_alt @ X2) @ 
95.47/12.70	            (set_Ar577454304le_alt @ X2)))),
95.47/12.70	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl416])).
95.47/12.70	thf(zip_derived_cl418, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	       (((X2) = (nil_Ar1286194111le_alt))
95.47/12.70	        |  (member84363362le_alt @ (hd_Arr1965683346le_alt @ X2) @ 
95.47/12.70	            (set_Ar577454304le_alt @ X2)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl417])).
95.47/12.70	thf(fact_4_dist, axiom,
95.47/12.70	  (distin236324274le_alt @
95.47/12.70	   ( cons_A228743023le_alt @
95.47/12.70	     a @ 
95.47/12.70	     ( cons_A228743023le_alt @
95.47/12.70	       b @ ( cons_A228743023le_alt @ c @ nil_Ar1286194111le_alt ) ) ))).
95.47/12.70	thf(zip_derived_cl111, plain,
95.47/12.70	    ( (distin236324274le_alt @ 
95.47/12.70	       (cons_A228743023le_alt @ a @ 
95.47/12.70	        (cons_A228743023le_alt @ b @ 
95.47/12.70	         (cons_A228743023le_alt @ c @ nil_Ar1286194111le_alt))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_4_dist])).
95.47/12.70	thf(fact_0__096P_A_058_AProf_096, axiom,
95.47/12.70	  (member526088951_alt_o @ p @ arrow_734252939e_Prof)).
95.47/12.70	thf(zip_derived_cl52, plain,
95.47/12.70	    ( (member526088951_alt_o @ p @ arrow_734252939e_Prof)),
95.47/12.70	    inference('cnf', [status(esa)], [fact_0__096P_A_058_AProf_096])).
95.47/12.70	thf(fact_269_mem__def, axiom,
95.47/12.70	  (![X_66:( arrow_1429601828e_indi > produc1501160679le_alt > $o ),
95.47/12.70	     A_12:( ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > $o )]:
95.47/12.70	   ( ( member526088951_alt_o @ X_66 @ A_12 ) <=> ( A_12 @ X_66 ) ))).
95.47/12.70	thf(zip_derived_cl331, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_1429601828e_indi > produc1501160679le_alt > $o]:
95.47/12.70	                  (((!!) @ (^[Y1 : (arrow_1429601828e_indi > 
95.47/12.70	                                    produc1501160679le_alt > $o) > $o]:
95.47/12.70	                              (((member526088951_alt_o @ Y0 @ Y1) <=> (Y1 @ 
95.47/12.70	                                Y0)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_269_mem__def])).
95.47/12.70	thf(zip_derived_cl332, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.70	                                member526088951_alt_o)))) @ 
95.47/12.70	                   ((('#C') @ ('#I')))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl331])).
95.47/12.70	thf(zip_derived_cl532, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi > produc1501160679le_alt > $o]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ (member526088951_alt_o @ X2))) @ 
95.47/12.70	                   ((('#C') @ ('#I') @ X2))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl332])).
95.47/12.70	thf(zip_derived_cl533, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X4 : (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o]:
95.47/12.70	        (((member526088951_alt_o @ X2 @ X4) <=> (X4 @ X2)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl532])).
95.47/12.70	thf(zip_derived_cl534, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X4 : (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o]:
95.47/12.70	       ((member526088951_alt_o @ X2 @ X4) = (X4 @ X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl533])).
95.47/12.70	thf(fact_270_mem__def, axiom,
95.47/12.70	  (![X_66:( produc1501160679le_alt > $o ),
95.47/12.70	     A_12:( ( produc1501160679le_alt > $o ) > $o )]:
95.47/12.70	   ( ( A_12 @ X_66 ) <=> ( member377231867_alt_o @ X_66 @ A_12 ) ))).
95.47/12.70	thf(zip_derived_cl294, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : produc1501160679le_alt > $o]:
95.47/12.70	                  (((!!) @ (^[Y1 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	                              (((Y1 @ Y0) <=> (member377231867_alt_o @ Y0 @ 
95.47/12.70	                                Y1)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_270_mem__def])).
95.47/12.70	thf(zip_derived_cl295, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.70	                                ((('#C') @ ('#I'))))))) @ 
95.47/12.70	                   member377231867_alt_o))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl294])).
95.47/12.70	thf(zip_derived_cl497, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt > $o]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ ((('#C') @ ('#I') @ X2)))) @ 
95.47/12.70	                   (member377231867_alt_o @ X2)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl295])).
95.47/12.70	thf(zip_derived_cl498, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt > $o, 
95.47/12.70	       X4 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	        (((X4 @ X2) <=> (member377231867_alt_o @ X2 @ X4)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl497])).
95.47/12.70	thf(zip_derived_cl499, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt > $o, 
95.47/12.70	       X4 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	       ((X4 @ X2) = (member377231867_alt_o @ X2 @ X4))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl498])).
95.47/12.70	thf(fact_268_mem__def, axiom,
95.47/12.70	  (![X_66:produc1501160679le_alt,A_12:( produc1501160679le_alt > $o )]:
95.47/12.70	   ( ( member214075476le_alt @ X_66 @ A_12 ) <=> ( A_12 @ X_66 ) ))).
95.47/12.70	thf(zip_derived_cl30, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : produc1501160679le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : produc1501160679le_alt > $o]:
95.47/12.70	                              (((member214075476le_alt @ Y0 @ Y1) <=> (Y1 @ 
95.47/12.70	                                Y0)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_268_mem__def])).
95.47/12.70	thf(zip_derived_cl31, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.70	                                member214075476le_alt)))) @ 
95.47/12.70	                   ((('#C') @ ('#I')))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl30])).
95.47/12.70	thf(zip_derived_cl468, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ (member214075476le_alt @ X2))) @ 
95.47/12.70	                   ((('#C') @ ('#I') @ X2))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])).
95.47/12.70	thf(zip_derived_cl469, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt, X4 : produc1501160679le_alt > $o]:
95.47/12.70	        (((member214075476le_alt @ X2 @ X4) <=> (X4 @ X2)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl468])).
95.47/12.70	thf(zip_derived_cl470, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt, X4 : produc1501160679le_alt > $o]:
95.47/12.70	       ((member214075476le_alt @ X2 @ X4) = (X4 @ X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl469])).
95.47/12.70	thf(fact_376_Nil__is__append__conv, axiom,
95.47/12.70	  (![Xs_97:list_A2115238852le_alt,Ys_44:list_A2115238852le_alt]:
95.47/12.70	   ( ( ( ( Ys_44 ) = ( nil_Ar1286194111le_alt ) ) & 
95.47/12.70	       ( ( Xs_97 ) = ( nil_Ar1286194111le_alt ) ) ) <=>
95.47/12.70	     ( ( nil_Ar1286194111le_alt ) = ( append179082452le_alt @ Xs_97 @ Ys_44 ) ) ))).
95.47/12.70	thf(zip_derived_cl313, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((((((Y1) = (nil_Ar1286194111le_alt))) &
95.47/12.70	                                  (((Y0) = (nil_Ar1286194111le_alt))))) <=>
95.47/12.70	                                (((nil_Ar1286194111le_alt) =
95.47/12.70	                                  (append179082452le_alt @ Y0 @ Y1)))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_376_Nil__is__append__conv])).
95.47/12.70	thf(zip_derived_cl314, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.70	                                ((('#B') @ ((('#C') @ ((('#B') @ (&) @ 
95.47/12.70	                                                        ((('#C') @ (=) @ 
95.47/12.70	                                                          nil_Ar1286194111le_alt)))))) @ 
95.47/12.70	                                  ((('#C') @ (=) @ nil_Ar1286194111le_alt)))))))) @ 
95.47/12.70	                   ((('#B') @ ((('#B') @ (((list_A2115238852le_alt) =
95.47/12.70	                                           (nil_Ar1286194111le_alt))))) @ 
95.47/12.70	                     append179082452le_alt))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl313])).
95.47/12.70	thf(zip_derived_cl601, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 
95.47/12.70	                              ((('#C') @ ((('#B') @ (&) @ 
95.47/12.70	                                           ((('#C') @ (=) @ 
95.47/12.70	                                             nil_Ar1286194111le_alt)))) @ 
95.47/12.70	                                (((X2) = (nil_Ar1286194111le_alt))))))) @ 
95.47/12.70	                   ((('#B') @ (((list_A2115238852le_alt) =
95.47/12.70	                                (nil_Ar1286194111le_alt))) @ 
95.47/12.70	                     (append179082452le_alt @ X2)))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl314])).
95.47/12.70	thf(zip_derived_cl602, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((((((X4) = (nil_Ar1286194111le_alt))) &
95.47/12.70	            (((X2) = (nil_Ar1286194111le_alt))))) <=>
95.47/12.70	          (((nil_Ar1286194111le_alt) = (append179082452le_alt @ X2 @ X4)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl601])).
95.47/12.70	thf(zip_derived_cl603, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((((((X4) = (nil_Ar1286194111le_alt))) &
95.47/12.70	          (((X2) = (nil_Ar1286194111le_alt)))))
95.47/12.70	         = (((nil_Ar1286194111le_alt) = (append179082452le_alt @ X2 @ X4))))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl602])).
95.47/12.70	thf(fact_43_not__Cons__self, axiom,
95.47/12.70	  (![Xs_126:list_A2115238852le_alt,X_73:arrow_475358991le_alt]:
95.47/12.70	   ( ( Xs_126 ) != ( cons_A228743023le_alt @ X_73 @ Xs_126 ) ))).
95.47/12.70	thf(zip_derived_cl149, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : arrow_475358991le_alt]:
95.47/12.70	                              (((Y0) != (cons_A228743023le_alt @ Y1 @ Y0)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_43_not__Cons__self])).
95.47/12.70	thf(zip_derived_cl150, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#B') @ (!=))) @ 
95.47/12.70	                   ((('#C') @ cons_A228743023le_alt))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl149])).
95.47/12.70	thf(zip_derived_cl427, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((!!) @ ((('#B') @ (((list_A2115238852le_alt) != (X2))) @ 
95.47/12.70	                   ((('#C') @ cons_A228743023le_alt @ X2))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl150])).
95.47/12.70	thf(zip_derived_cl428, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.70	        (((X2) != (cons_A228743023le_alt @ X4 @ X2)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl427])).
95.47/12.70	thf(zip_derived_cl429, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.70	       ((X2) != (cons_A228743023le_alt @ X4 @ X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl428])).
95.47/12.70	thf(fact_495_rev_Osimps_I2_J, axiom,
95.47/12.70	  (![X_17:arrow_475358991le_alt,Xs_26:list_A2115238852le_alt]:
95.47/12.70	   ( ( rev_Ar1106406943le_alt @ ( cons_A228743023le_alt @ X_17 @ Xs_26 ) ) =
95.47/12.70	     ( append179082452le_alt @
95.47/12.70	       ( rev_Ar1106406943le_alt @ Xs_26 ) @ 
95.47/12.70	       ( cons_A228743023le_alt @ X_17 @ nil_Ar1286194111le_alt ) ) ))).
95.47/12.70	thf(zip_derived_cl84, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((rev_Ar1106406943le_alt @ 
95.47/12.70	                                (cons_A228743023le_alt @ Y0 @ Y1)) =
95.47/12.70	                                (append179082452le_alt @ 
95.47/12.70	                                (rev_Ar1106406943le_alt @ Y1) @ 
95.47/12.70	                                (cons_A228743023le_alt @ Y0 @ 
95.47/12.70	                                 nil_Ar1286194111le_alt))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_495_rev_Osimps_I2_J])).
95.47/12.70	thf(zip_derived_cl85, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ rev_Ar1106406943le_alt)) @ 
95.47/12.70	                                  cons_A228743023le_alt)))))) @ 
95.47/12.70	                   ((('#B') @ ((('#C') @ ((('#B') @ append179082452le_alt @ 
95.47/12.70	                                           rev_Ar1106406943le_alt)))) @ 
95.47/12.70	                     ((('#C') @ cons_A228743023le_alt @ 
95.47/12.70	                       nil_Ar1286194111le_alt))))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl84])).
95.47/12.70	thf(zip_derived_cl584, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (=) @ 
95.47/12.70	                              ((('#B') @ rev_Ar1106406943le_alt @ 
95.47/12.70	                                (cons_A228743023le_alt @ X2))))) @ 
95.47/12.70	                   ((('#C') @ ((('#B') @ append179082452le_alt @ 
95.47/12.70	                                rev_Ar1106406943le_alt)) @ 
95.47/12.70	                     (cons_A228743023le_alt @ X2 @ nil_Ar1286194111le_alt)))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])).
95.47/12.70	thf(zip_derived_cl585, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X2 @ X4)) =
95.47/12.70	          (append179082452le_alt @ (rev_Ar1106406943le_alt @ X4) @ 
95.47/12.70	          (cons_A228743023le_alt @ X2 @ nil_Ar1286194111le_alt))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl584])).
95.47/12.70	thf(zip_derived_cl586, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((rev_Ar1106406943le_alt @ (cons_A228743023le_alt @ X2 @ X4))
95.47/12.70	         = (append179082452le_alt @ (rev_Ar1106406943le_alt @ X4) @ 
95.47/12.70	            (cons_A228743023le_alt @ X2 @ nil_Ar1286194111le_alt)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl585])).
95.47/12.70	thf(fact_390_last__appendR, axiom,
95.47/12.70	  (![Xs_83:list_A2115238852le_alt,Ys_31:list_A2115238852le_alt]:
95.47/12.70	   ( ( ( Ys_31 ) != ( nil_Ar1286194111le_alt ) ) =>
95.47/12.70	     ( ( last_A1217315288le_alt @ ( append179082452le_alt @ Xs_83 @ Ys_31 ) ) =
95.47/12.70	       ( last_A1217315288le_alt @ Ys_31 ) ) ))).
95.47/12.70	thf(zip_derived_cl161, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((((Y1) != (nil_Ar1286194111le_alt))) =>
95.47/12.70	                                (((last_A1217315288le_alt @ 
95.47/12.70	                                  (append179082452le_alt @ Y0 @ Y1)) =
95.47/12.70	                                  (last_A1217315288le_alt @ Y1)))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_390_last__appendR])).
95.47/12.70	thf(zip_derived_cl162, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                                         ((('#C') @ (!=) @ 
95.47/12.70	                                           nil_Ar1286194111le_alt)))))) @ 
95.47/12.70	                   ((('#C') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                  ((('#B') @ ((('#B') @ last_A1217315288le_alt)) @ 
95.47/12.70	                                    append179082452le_alt)))))) @ 
95.47/12.70	                     last_A1217315288le_alt))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl161])).
95.47/12.70	thf(zip_derived_cl587, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                              ((('#C') @ (!=) @ nil_Ar1286194111le_alt)))) @ 
95.47/12.70	                   ((('#S') @ ((('#B') @ (=) @ 
95.47/12.70	                                ((('#B') @ last_A1217315288le_alt @ 
95.47/12.70	                                  (append179082452le_alt @ X2))))) @ 
95.47/12.70	                     last_A1217315288le_alt))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl162])).
95.47/12.70	thf(zip_derived_cl588, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((((X4) != (nil_Ar1286194111le_alt))) =>
95.47/12.70	          (((last_A1217315288le_alt @ (append179082452le_alt @ X2 @ X4)) =
95.47/12.70	            (last_A1217315288le_alt @ X4)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl587])).
95.47/12.70	thf(zip_derived_cl589, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       (~ (((X4) != (nil_Ar1286194111le_alt)))
95.47/12.70	        |  (((last_A1217315288le_alt @ (append179082452le_alt @ X2 @ X4)) =
95.47/12.70	             (last_A1217315288le_alt @ X4))))),
95.47/12.70	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl588])).
95.47/12.70	thf(zip_derived_cl590, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       (((X4) = (nil_Ar1286194111le_alt))
95.47/12.70	        | ((last_A1217315288le_alt @ (append179082452le_alt @ X2 @ X4))
95.47/12.70	            = (last_A1217315288le_alt @ X4)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl589])).
95.47/12.70	thf(fact_572_last__in__set, axiom,
95.47/12.70	  (![As:list_A2115238852le_alt]:
95.47/12.70	   ( ( ( As ) != ( nil_Ar1286194111le_alt ) ) =>
95.47/12.70	     ( member84363362le_alt @
95.47/12.70	       ( last_A1217315288le_alt @ As ) @ ( set_Ar577454304le_alt @ As ) ) ))).
95.47/12.70	thf(zip_derived_cl183, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((((Y0) != (nil_Ar1286194111le_alt))) =>
95.47/12.70	                    (member84363362le_alt @ (last_A1217315288le_alt @ Y0) @ 
95.47/12.70	                    (set_Ar577454304le_alt @ Y0)))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_572_last__in__set])).
95.47/12.70	thf(zip_derived_cl184, plain,
95.47/12.70	    ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                            ((('#C') @ (!=) @ nil_Ar1286194111le_alt)))) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ member84363362le_alt @ 
95.47/12.70	                              last_A1217315288le_alt)) @ 
95.47/12.70	                   set_Ar577454304le_alt))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl183])).
95.47/12.70	thf(zip_derived_cl419, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((((X2) != (nil_Ar1286194111le_alt))) => (member84363362le_alt @ 
95.47/12.70	          (last_A1217315288le_alt @ X2) @ (set_Ar577454304le_alt @ X2))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl184])).
95.47/12.70	thf(zip_derived_cl420, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	       (~ (((X2) != (nil_Ar1286194111le_alt)))
95.47/12.70	        |  (member84363362le_alt @ (last_A1217315288le_alt @ X2) @ 
95.47/12.70	            (set_Ar577454304le_alt @ X2)))),
95.47/12.70	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl419])).
95.47/12.70	thf(zip_derived_cl421, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	       (((X2) = (nil_Ar1286194111le_alt))
95.47/12.70	        |  (member84363362le_alt @ (last_A1217315288le_alt @ X2) @ 
95.47/12.70	            (set_Ar577454304le_alt @ X2)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl420])).
95.47/12.70	thf(fact_264_mem__def, axiom,
95.47/12.70	  (![X_66:arrow_475358991le_alt,A_12:( arrow_475358991le_alt > $o )]:
95.47/12.70	   ( ( A_12 @ X_66 ) <=> ( member84363362le_alt @ X_66 @ A_12 ) ))).
95.47/12.70	thf(zip_derived_cl315, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : arrow_475358991le_alt > $o]:
95.47/12.70	                              (((Y1 @ Y0) <=> (member84363362le_alt @ Y0 @ 
95.47/12.70	                                Y1)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_264_mem__def])).
95.47/12.70	thf(zip_derived_cl316, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.70	                                ((('#C') @ ('#I'))))))) @ 
95.47/12.70	                   member84363362le_alt))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl315])).
95.47/12.70	thf(zip_derived_cl500, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ ((('#C') @ ('#I') @ X2)))) @ 
95.47/12.70	                   (member84363362le_alt @ X2)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl316])).
95.47/12.70	thf(zip_derived_cl501, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt > $o]:
95.47/12.70	        (((X4 @ X2) <=> (member84363362le_alt @ X2 @ X4)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl500])).
95.47/12.70	thf(zip_derived_cl502, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt > $o]:
95.47/12.70	       ((X4 @ X2) = (member84363362le_alt @ X2 @ X4))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl501])).
95.47/12.70	thf(fact_491_distinct__rev, axiom,
95.47/12.70	  (![Xs_30:list_A2115238852le_alt]:
95.47/12.70	   ( ( distin236324274le_alt @ Xs_30 ) <=>
95.47/12.70	     ( distin236324274le_alt @ ( rev_Ar1106406943le_alt @ Xs_30 ) ) ))).
95.47/12.70	thf(zip_derived_cl237, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((distin236324274le_alt @ Y0) <=>
95.47/12.70	                    (distin236324274le_alt @ (rev_Ar1106406943le_alt @ Y0)))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_491_distinct__rev])).
95.47/12.70	thf(zip_derived_cl238, plain,
95.47/12.70	    ( (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ distin236324274le_alt)) @ 
95.47/12.70	                 ((('#B') @ distin236324274le_alt @ rev_Ar1106406943le_alt))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl237])).
95.47/12.70	thf(zip_derived_cl384, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((distin236324274le_alt @ X2) <=> (distin236324274le_alt @ 
95.47/12.70	          (rev_Ar1106406943le_alt @ X2))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl238])).
95.47/12.70	thf(zip_derived_cl385, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	       ((distin236324274le_alt @ X2)
95.47/12.70	         = (distin236324274le_alt @ (rev_Ar1106406943le_alt @ X2)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl384])).
95.47/12.70	thf(fact_556_distinct_Osimps_I2_J, axiom,
95.47/12.70	  (![X_8:arrow_475358991le_alt,Xs_13:list_A2115238852le_alt]:
95.47/12.70	   ( ( distin236324274le_alt @ ( cons_A228743023le_alt @ X_8 @ Xs_13 ) ) <=>
95.47/12.70	     ( ( distin236324274le_alt @ Xs_13 ) & 
95.47/12.70	       ( ~( member84363362le_alt @ X_8 @ ( set_Ar577454304le_alt @ Xs_13 ) ) ) ) ))).
95.47/12.70	thf(zip_derived_cl223, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((distin236324274le_alt @ 
95.47/12.70	                                (cons_A228743023le_alt @ Y0 @ Y1)) <=>
95.47/12.70	                                (((distin236324274le_alt @ Y1) &
95.47/12.70	                                  (((~) @ (member84363362le_alt @ Y0 @ 
95.47/12.70	                                           (set_Ar577454304le_alt @ Y1))))))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_556_distinct_Osimps_I2_J])).
95.47/12.70	thf(zip_derived_cl224, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ distin236324274le_alt)) @ 
95.47/12.70	                                  cons_A228743023le_alt)))))) @ 
95.47/12.70	                   ((('#B') @ ((('#S') @ ((('#B') @ (&) @ 
95.47/12.70	                                           distin236324274le_alt)))) @ 
95.47/12.70	                     ((('#B') @ ((('#B') @ (~))) @ 
95.47/12.70	                       ((('#C') @ ((('#B') @ ('#B') @ member84363362le_alt)) @ 
95.47/12.70	                         set_Ar577454304le_alt))))))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl223])).
95.47/12.70	thf(zip_derived_cl638, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 
95.47/12.70	                              ((('#B') @ distin236324274le_alt @ 
95.47/12.70	                                (cons_A228743023le_alt @ X2))))) @ 
95.47/12.70	                   ((('#S') @ ((('#B') @ (&) @ distin236324274le_alt)) @ 
95.47/12.70	                     ((('#B') @ (~) @ 
95.47/12.70	                       ((('#B') @ (member84363362le_alt @ X2) @ 
95.47/12.70	                         set_Ar577454304le_alt))))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl224])).
95.47/12.70	thf(zip_derived_cl639, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((distin236324274le_alt @ (cons_A228743023le_alt @ X2 @ X4)) <=>
95.47/12.70	          (((distin236324274le_alt @ X4) &
95.47/12.70	            (((~) @ (member84363362le_alt @ X2 @ (set_Ar577454304le_alt @ X4))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl638])).
95.47/12.70	thf(zip_derived_cl640, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((distin236324274le_alt @ (cons_A228743023le_alt @ X2 @ X4))
95.47/12.70	         = (((distin236324274le_alt @ X4) &
95.47/12.70	             (((~) @ (member84363362le_alt @ X2 @ 
95.47/12.70	                      (set_Ar577454304le_alt @ X4)))))))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl639])).
95.47/12.70	thf(zip_derived_cl502, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt > $o]:
95.47/12.70	       ((X4 @ X2) = (member84363362le_alt @ X2 @ X4))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl501])).
95.47/12.70	thf(zip_derived_cl641, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((distin236324274le_alt @ (cons_A228743023le_alt @ X2 @ X4))
95.47/12.70	         = (((distin236324274le_alt @ X4) &
95.47/12.70	             (((~) @ (set_Ar577454304le_alt @ X4 @ X2))))))),
95.47/12.70	    inference('demod', [status(thm)], [zip_derived_cl640, zip_derived_cl502])).
95.47/12.70	thf(fact_324_iso__tuple__UNIV__I, axiom,
95.47/12.70	  (![X_54:arrow_1429601828e_indi]:
95.47/12.70	   ( member2052026769e_indi @ X_54 @ top_to988227749indi_o ))).
95.47/12.70	thf(zip_derived_cl181, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_1429601828e_indi]:
95.47/12.70	                  (member2052026769e_indi @ Y0 @ top_to988227749indi_o))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_324_iso__tuple__UNIV__I])).
95.47/12.70	thf(zip_derived_cl182, plain,
95.47/12.70	    ( (((!!) @ ((('#C') @ member2052026769e_indi @ top_to988227749indi_o))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl181])).
95.47/12.70	thf(zip_derived_cl366, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi]:
95.47/12.70	        (member2052026769e_indi @ X2 @ top_to988227749indi_o)),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl182])).
95.47/12.70	thf(conj_0, conjecture,
95.47/12.70	  (![I:arrow_1429601828e_indi]:
95.47/12.70	   ( ( member214075476le_alt @ ( produc1347929815le_alt @ a @ b ) @ ( p @ I ) ) <=>
95.47/12.70	     ( member214075476le_alt @
95.47/12.70	       ( produc1347929815le_alt @ a @ c ) @ 
95.47/12.70	       ( arrow_2098199487_below @ ( p @ I ) @ c @ b ) ) ))).
95.47/12.70	thf(zf_stmt_0, negated_conjecture,
95.47/12.70	  (~( ![I:arrow_1429601828e_indi]:
95.47/12.70	      ( ( member214075476le_alt @
95.47/12.70	          ( produc1347929815le_alt @ a @ b ) @ ( p @ I ) ) <=>
95.47/12.70	        ( member214075476le_alt @
95.47/12.70	          ( produc1347929815le_alt @ a @ c ) @ 
95.47/12.70	          ( arrow_2098199487_below @ ( p @ I ) @ c @ b ) ) ) )),
95.47/12.70	  inference('cnf.neg', [status(esa)], [conj_0])).
95.47/12.70	thf(zip_derived_cl343, plain,
95.47/12.70	    (~ (((!!) @ (^[Y0 : arrow_1429601828e_indi]:
95.47/12.70	                   (((member214075476le_alt @ 
95.47/12.70	                     (produc1347929815le_alt @ a @ b) @ (p @ Y0)) <=>
95.47/12.70	                     (member214075476le_alt @ 
95.47/12.70	                     (produc1347929815le_alt @ a @ c) @ 
95.47/12.70	                     (arrow_2098199487_below @ (p @ Y0) @ c @ b)))))))),
95.47/12.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
95.47/12.70	thf(zip_derived_cl344, plain,
95.47/12.70	    (~ (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 
95.47/12.70	                             ((('#B') @ (member214075476le_alt @ 
95.47/12.70	                                         (produc1347929815le_alt @ a @ b)) @ 
95.47/12.70	                               p)))) @ 
95.47/12.70	                  ((('#B') @ (member214075476le_alt @ 
95.47/12.70	                              (produc1347929815le_alt @ a @ c)) @ 
95.47/12.70	                    ((('#C') @ ((('#C') @ ((('#B') @ arrow_2098199487_below @ 
95.47/12.70	                                            p)) @ 
95.47/12.70	                                 c)) @ 
95.47/12.70	                      b))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl343])).
95.47/12.70	thf(zip_derived_cl405, plain,
95.47/12.70	    (~ (((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ 
95.47/12.70	         (p @ '#sk6')) <=> (member214075476le_alt @ 
95.47/12.70	         (produc1347929815le_alt @ a @ c) @ 
95.47/12.70	         (arrow_2098199487_below @ (p @ '#sk6') @ c @ b))))),
95.47/12.70	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl344])).
95.47/12.70	thf(zip_derived_cl406, plain,
95.47/12.70	    (((member214075476le_alt @ (produc1347929815le_alt @ a @ b) @ 
95.47/12.70	       (p @ '#sk6'))
95.47/12.70	       != (member214075476le_alt @ (produc1347929815le_alt @ a @ c) @ 
95.47/12.70	           (arrow_2098199487_below @ (p @ '#sk6') @ c @ b)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl405])).
95.47/12.70	thf(zip_derived_cl470, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt, X4 : produc1501160679le_alt > $o]:
95.47/12.70	       ((member214075476le_alt @ X2 @ X4) = (X4 @ X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl469])).
95.47/12.70	thf(zip_derived_cl470, plain,
95.47/12.70	    (![X2 : produc1501160679le_alt, X4 : produc1501160679le_alt > $o]:
95.47/12.70	       ((member214075476le_alt @ X2 @ X4) = (X4 @ X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl469])).
95.47/12.70	thf(zip_derived_cl471, plain,
95.47/12.70	    (((p @ '#sk6' @ (produc1347929815le_alt @ a @ b))
95.47/12.70	       != (arrow_2098199487_below @ (p @ '#sk6') @ c @ b @ 
95.47/12.70	           (produc1347929815le_alt @ a @ c)))),
95.47/12.70	    inference('demod', [status(thm)],
95.47/12.70	              [zip_derived_cl406, zip_derived_cl470, zip_derived_cl470])).
95.47/12.70	thf(fact_393_butlast__snoc, axiom,
95.47/12.70	  (![Xs_81:list_A2115238852le_alt,X_43:arrow_475358991le_alt]:
95.47/12.70	   ( ( butlas274947851le_alt @
95.47/12.70	       ( append179082452le_alt @
95.47/12.70	         Xs_81 @ ( cons_A228743023le_alt @ X_43 @ nil_Ar1286194111le_alt ) ) ) =
95.47/12.70	     ( Xs_81 ) ))).
95.47/12.70	thf(zip_derived_cl341, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : arrow_475358991le_alt]:
95.47/12.70	                              (((butlas274947851le_alt @ 
95.47/12.70	                                (append179082452le_alt @ Y0 @ 
95.47/12.70	                                 (cons_A228743023le_alt @ Y1 @ 
95.47/12.70	                                  nil_Ar1286194111le_alt))) =
95.47/12.70	                                (Y0)))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_393_butlast__snoc])).
95.47/12.70	thf(zip_derived_cl342, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#C') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ butlas274947851le_alt)) @ 
95.47/12.70	                                  ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                               append179082452le_alt)) @ 
95.47/12.70	                                    ((('#C') @ cons_A228743023le_alt @ 
95.47/12.70	                                      nil_Ar1286194111le_alt)))))))))) @ 
95.47/12.70	                   ('#I')))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl341])).
95.47/12.70	thf(zip_derived_cl556, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((!!) @ ((('#C') @ ((('#B') @ (=) @ 
95.47/12.70	                              ((('#B') @ butlas274947851le_alt @ 
95.47/12.70	                                ((('#B') @ (append179082452le_alt @ X2) @ 
95.47/12.70	                                  ((('#C') @ cons_A228743023le_alt @ 
95.47/12.70	                                    nil_Ar1286194111le_alt)))))))) @ 
95.47/12.70	                   X2))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl342])).
95.47/12.70	thf(zip_derived_cl557, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.70	        (((butlas274947851le_alt @ 
95.47/12.70	          (append179082452le_alt @ X2 @ 
95.47/12.70	           (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))) =
95.47/12.70	          (X2)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl556])).
95.47/12.70	thf(zip_derived_cl558, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.70	       ((butlas274947851le_alt @ 
95.47/12.70	         (append179082452le_alt @ X2 @ 
95.47/12.70	          (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)))
95.47/12.70	         = (X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl557])).
95.47/12.70	thf(fact_293_last__ConsL, axiom,
95.47/12.70	  (![X_63:arrow_475358991le_alt,Xs_115:list_A2115238852le_alt]:
95.47/12.70	   ( ( ( Xs_115 ) = ( nil_Ar1286194111le_alt ) ) =>
95.47/12.70	     ( ( last_A1217315288le_alt @ ( cons_A228743023le_alt @ X_63 @ Xs_115 ) ) =
95.47/12.70	       ( X_63 ) ) ))).
95.47/12.70	thf(zip_derived_cl173, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((((Y1) = (nil_Ar1286194111le_alt))) =>
95.47/12.70	                                (((last_A1217315288le_alt @ 
95.47/12.70	                                  (cons_A228743023le_alt @ Y0 @ Y1)) = (Y0)))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_293_last__ConsL])).
95.47/12.70	thf(zip_derived_cl174, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                                         ((('#C') @ (=) @ 
95.47/12.70	                                           nil_Ar1286194111le_alt)))))) @ 
95.47/12.70	                   ((('#S') @ ((('#B') @ ('#C') @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                  ((('#B') @ ((('#B') @ last_A1217315288le_alt)) @ 
95.47/12.70	                                    cons_A228743023le_alt)))))) @ 
95.47/12.70	                     ('#I')))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl173])).
95.47/12.70	thf(zip_derived_cl548, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                              ((('#C') @ (=) @ nil_Ar1286194111le_alt)))) @ 
95.47/12.70	                   ((('#C') @ ((('#B') @ (=) @ 
95.47/12.70	                                ((('#B') @ last_A1217315288le_alt @ 
95.47/12.70	                                  (cons_A228743023le_alt @ X2))))) @ 
95.47/12.70	                     X2))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl174])).
95.47/12.70	thf(zip_derived_cl549, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((((X4) = (nil_Ar1286194111le_alt))) =>
95.47/12.70	          (((last_A1217315288le_alt @ (cons_A228743023le_alt @ X2 @ X4)) =
95.47/12.70	            (X2)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl548])).
95.47/12.70	thf(zip_derived_cl550, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       (~ (((X4) = (nil_Ar1286194111le_alt)))
95.47/12.70	        |  (((last_A1217315288le_alt @ (cons_A228743023le_alt @ X2 @ X4)) =
95.47/12.70	             (X2))))),
95.47/12.70	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl549])).
95.47/12.70	thf(zip_derived_cl551, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       (((X4) != (nil_Ar1286194111le_alt))
95.47/12.70	        | ((last_A1217315288le_alt @ (cons_A228743023le_alt @ X2 @ X4))
95.47/12.70	            = (X2)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl550])).
95.47/12.70	thf(fact_375_append__Nil, axiom,
95.47/12.70	  (![Ys_45:list_A2115238852le_alt]:
95.47/12.70	   ( ( append179082452le_alt @ nil_Ar1286194111le_alt @ Ys_45 ) = ( Ys_45 ) ))).
95.47/12.70	thf(zip_derived_cl133, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((append179082452le_alt @ nil_Ar1286194111le_alt @ Y0) =
95.47/12.70	                    (Y0))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_375_append__Nil])).
95.47/12.70	thf(zip_derived_cl134, plain,
95.47/12.70	    ( (((!!) @ ((('#S') @ ((('#B') @ (=) @ 
95.47/12.70	                            (append179082452le_alt @ nil_Ar1286194111le_alt))) @ 
95.47/12.70	                 ('#I')))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl133])).
95.47/12.70	thf(zip_derived_cl379, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((append179082452le_alt @ nil_Ar1286194111le_alt @ X2) = (X2)))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl134])).
95.47/12.70	thf(zip_derived_cl380, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	       ((append179082452le_alt @ nil_Ar1286194111le_alt @ X2) = (X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl379])).
95.47/12.70	thf(fact_373_append__Cons, axiom,
95.47/12.70	  (![X_50:arrow_475358991le_alt,Xs_99:list_A2115238852le_alt,
95.47/12.70	     Ys_47:list_A2115238852le_alt]:
95.47/12.70	   ( ( append179082452le_alt @
95.47/12.70	       ( cons_A228743023le_alt @ X_50 @ Xs_99 ) @ Ys_47 ) =
95.47/12.70	     ( cons_A228743023le_alt @
95.47/12.70	       X_50 @ ( append179082452le_alt @ Xs_99 @ Ys_47 ) ) ))).
95.47/12.70	thf(zip_derived_cl284, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((!!) @ (^[Y2 : list_A2115238852le_alt]:
95.47/12.70	                                          (((append179082452le_alt @ 
95.47/12.70	                                            (cons_A228743023le_alt @ Y0 @ Y1) @ 
95.47/12.70	                                            Y2) = (cons_A228743023le_alt @ 
95.47/12.70	                                            Y0 @ 
95.47/12.70	                                            (append179082452le_alt @ Y1 @ Y2)))))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_373_append__Cons])).
95.47/12.70	thf(zip_derived_cl285, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.70	                   ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.70	                                  ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 
95.47/12.70	                                    ((('#B') @ ((('#B') @ append179082452le_alt)) @ 
95.47/12.70	                                      cons_A228743023le_alt)))))))) @ 
95.47/12.70	                     ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                  ((('#B') @ ('#B') @ cons_A228743023le_alt)))) @ 
95.47/12.70	                       append179082452le_alt))))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl284])).
95.47/12.70	thf(zip_derived_cl681, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                   ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                  ((('#B') @ append179082452le_alt @ 
95.47/12.70	                                    (cons_A228743023le_alt @ X2))))))) @ 
95.47/12.70	                     ((('#B') @ ((('#B') @ (cons_A228743023le_alt @ X2))) @ 
95.47/12.70	                       append179082452le_alt))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl285])).
95.47/12.70	thf(zip_derived_cl682, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (=) @ 
95.47/12.70	                              (append179082452le_alt @ 
95.47/12.70	                               (cons_A228743023le_alt @ X2 @ X4)))) @ 
95.47/12.70	                   ((('#B') @ (cons_A228743023le_alt @ X2) @ 
95.47/12.70	                     (append179082452le_alt @ X4)))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl681])).
95.47/12.70	thf(zip_derived_cl683, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt, 
95.47/12.70	       X6 : list_A2115238852le_alt]:
95.47/12.70	        (((append179082452le_alt @ (cons_A228743023le_alt @ X2 @ X4) @ X6) =
95.47/12.70	          (cons_A228743023le_alt @ X2 @ (append179082452le_alt @ X4 @ X6))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl682])).
95.47/12.70	thf(zip_derived_cl684, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : list_A2115238852le_alt, 
95.47/12.70	       X6 : list_A2115238852le_alt]:
95.47/12.70	       ((append179082452le_alt @ (cons_A228743023le_alt @ X2 @ X4) @ X6)
95.47/12.70	         = (cons_A228743023le_alt @ X2 @ (append179082452le_alt @ X4 @ X6)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl683])).
95.47/12.70	thf(fact_486_rev__append, axiom,
95.47/12.70	  (![Xs_33:list_A2115238852le_alt,Ys_8:list_A2115238852le_alt]:
95.47/12.70	   ( ( rev_Ar1106406943le_alt @ ( append179082452le_alt @ Xs_33 @ Ys_8 ) ) =
95.47/12.70	     ( append179082452le_alt @
95.47/12.70	       ( rev_Ar1106406943le_alt @ Ys_8 ) @ ( rev_Ar1106406943le_alt @ Xs_33 ) ) ))).
95.47/12.70	thf(zip_derived_cl270, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : list_A2115238852le_alt]:
95.47/12.70	                              (((rev_Ar1106406943le_alt @ 
95.47/12.70	                                (append179082452le_alt @ Y0 @ Y1)) =
95.47/12.70	                                (append179082452le_alt @ 
95.47/12.70	                                (rev_Ar1106406943le_alt @ Y1) @ 
95.47/12.70	                                (rev_Ar1106406943le_alt @ Y0))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_486_rev__append])).
95.47/12.70	thf(zip_derived_cl271, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                              ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ rev_Ar1106406943le_alt)) @ 
95.47/12.70	                                  append179082452le_alt)))))) @ 
95.47/12.70	                   ((('#B') @ ((('#C') @ ((('#B') @ append179082452le_alt @ 
95.47/12.70	                                           rev_Ar1106406943le_alt)))) @ 
95.47/12.70	                     rev_Ar1106406943le_alt))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl270])).
95.47/12.70	thf(zip_derived_cl559, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (=) @ 
95.47/12.70	                              ((('#B') @ rev_Ar1106406943le_alt @ 
95.47/12.70	                                (append179082452le_alt @ X2))))) @ 
95.47/12.70	                   ((('#C') @ ((('#B') @ append179082452le_alt @ 
95.47/12.70	                                rev_Ar1106406943le_alt)) @ 
95.47/12.70	                     (rev_Ar1106406943le_alt @ X2)))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl271])).
95.47/12.70	thf(zip_derived_cl560, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	        (((rev_Ar1106406943le_alt @ (append179082452le_alt @ X2 @ X4)) =
95.47/12.70	          (append179082452le_alt @ (rev_Ar1106406943le_alt @ X4) @ 
95.47/12.70	          (rev_Ar1106406943le_alt @ X2))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl559])).
95.47/12.70	thf(zip_derived_cl561, plain,
95.47/12.70	    (![X2 : list_A2115238852le_alt, X4 : list_A2115238852le_alt]:
95.47/12.70	       ((rev_Ar1106406943le_alt @ (append179082452le_alt @ X2 @ X4))
95.47/12.70	         = (append179082452le_alt @ (rev_Ar1106406943le_alt @ X4) @ 
95.47/12.70	            (rev_Ar1106406943le_alt @ X2)))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl560])).
95.47/12.70	thf(fact_289_Prof__def, axiom,
95.47/12.70	  (( arrow_734252939e_Prof ) =
95.47/12.70	   ( pi_Arr1929480907_alt_o @
95.47/12.70	     top_to988227749indi_o @ 
95.47/12.70	     ( ^[Uu:arrow_1429601828e_indi]: ( arrow_823908191le_Lin ) ) ))).
95.47/12.70	thf(zip_derived_cl32, plain,
95.47/12.70	    (((arrow_734252939e_Prof)
95.47/12.70	       = (pi_Arr1929480907_alt_o @ top_to988227749indi_o @ 
95.47/12.70	          (^[Y0 : arrow_1429601828e_indi]: (arrow_823908191le_Lin))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_289_Prof__def])).
95.47/12.70	thf(zip_derived_cl33, plain,
95.47/12.70	    (((arrow_734252939e_Prof)
95.47/12.70	       = (pi_Arr1929480907_alt_o @ top_to988227749indi_o @ 
95.47/12.70	          ((('#K') @ arrow_823908191le_Lin))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl32])).
95.47/12.70	thf(zip_derived_cl10659, plain,
95.47/12.70	    (((arrow_734252939e_Prof)
95.47/12.70	       = (pi_Arr1929480907_alt_o @ top_to988227749indi_o @ 
95.47/12.70	          ('#ty_enc51' @ arrow_823908191le_Lin)))),
95.47/12.70	    inference('remove_ty_args', [status(thm)], [zip_derived_cl33])).
95.47/12.70	thf(fact_114_funcset__mem, axiom,
95.47/12.70	  (![X_71:arrow_1429601828e_indi,
95.47/12.70	     F_13:( arrow_1429601828e_indi > produc1501160679le_alt > $o ),
95.47/12.70	     A_18:( arrow_1429601828e_indi > $o ),
95.47/12.70	     B_15:( ( produc1501160679le_alt > $o ) > $o )]:
95.47/12.70	   ( ( member526088951_alt_o @
95.47/12.70	       F_13 @ 
95.47/12.70	       ( pi_Arr1929480907_alt_o @
95.47/12.70	         A_18 @ ( ^[Uu:arrow_1429601828e_indi]: ( B_15 ) ) ) ) =>
95.47/12.70	     ( ( member2052026769e_indi @ X_71 @ A_18 ) =>
95.47/12.70	       ( member377231867_alt_o @ ( F_13 @ X_71 ) @ B_15 ) ) ))).
95.47/12.70	thf(zip_derived_cl155, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_1429601828e_indi]:
95.47/12.70	                  (((!!) @ (^[Y1 : arrow_1429601828e_indi > 
95.47/12.70	                                   produc1501160679le_alt > $o]:
95.47/12.70	                              (((!!) @ (^[Y2 : arrow_1429601828e_indi > $o]:
95.47/12.70	                                          (((!!) @ (^[Y3 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	                                                      (((member526088951_alt_o @ 
95.47/12.70	                                                        Y1 @ 
95.47/12.70	                                                        (pi_Arr1929480907_alt_o @ 
95.47/12.70	                                                         Y2 @ 
95.47/12.70	                                                         (^[Y4 : arrow_1429601828e_indi]:
95.47/12.70	                                                            (Y3)))) =>
95.47/12.70	                                                        (((member2052026769e_indi @ 
95.47/12.70	                                                          Y0 @ Y2) =>
95.47/12.70	                                                          (member377231867_alt_o @ 
95.47/12.70	                                                          (Y1 @ Y0) @ Y3)))))))))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_114_funcset__mem])).
95.47/12.70	thf(zip_derived_cl156, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.70	                   ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
95.47/12.70	                     ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                             ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.70	                                               ((('#B') @ ((('#B') @ (
95.47/12.70	                                                            (('#B') @ (=>))))) @ 
95.47/12.70	                                                 ((('#C') @ ((('#B') @ (
95.47/12.70	                                                              '#B') @ 
95.47/12.70	                                                              ((('#B') @ (
95.47/12.70	                                                                '#B') @ 
95.47/12.70	                                                                member526088951_alt_o)))) @ 
95.47/12.70	                                                   ((('#C') @ ((('#B') @ (
95.47/12.70	                                                                '#B') @ 
95.47/12.70	                                                                pi_Arr1929480907_alt_o)) @ 
95.47/12.70	                                                     ('#K'))))))))))))) @ 
95.47/12.70	                       ((('#S') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                    ((('#B') @ ('#C') @ 
95.47/12.70	                                      ((('#B') @ ((('#B') @ ('#B'))) @ 
95.47/12.70	                                        ((('#B') @ ((('#B') @ (=>))) @ 
95.47/12.70	                                          member2052026769e_indi)))))))) @ 
95.47/12.70	                         ((('#B') @ ((('#B') @ member377231867_alt_o)) @ 
95.47/12.70	                           ((('#C') @ ('#I')))))))))))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl155])).
95.47/12.70	thf(zip_derived_cl925, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi]:
95.47/12.70	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                   ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.70	                     ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                  ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.70	                                    ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 
95.47/12.70	                                      ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                                   ((('#B') @ ('#B') @ 
95.47/12.70	                                                     member526088951_alt_o)))) @ 
95.47/12.70	                                        ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                                     pi_Arr1929480907_alt_o)) @ 
95.47/12.70	                                          ('#K'))))))))))) @ 
95.47/12.70	                       ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                               ((('#B') @ (=>) @ 
95.47/12.70	                                                 (member2052026769e_indi @ X2))))))) @ 
95.47/12.70	                         ((('#B') @ member377231867_alt_o @ 
95.47/12.70	                           ((('#C') @ ('#I') @ X2))))))))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl156])).
95.47/12.70	thf(zip_derived_cl926, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o]:
95.47/12.70	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                   ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                ((('#B') @ ((('#B') @ (=>))) @ 
95.47/12.70	                                  ((('#B') @ ((('#B') @ (member526088951_alt_o @ 
95.47/12.70	                                                         X4))) @ 
95.47/12.70	                                    ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                                 pi_Arr1929480907_alt_o)) @ 
95.47/12.70	                                      ('#K'))))))))) @ 
95.47/12.70	                     ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                  ((('#B') @ (=>) @ 
95.47/12.70	                                    (member2052026769e_indi @ X2))))) @ 
95.47/12.70	                       (member377231867_alt_o @ (X4 @ X2))))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl925])).
95.47/12.70	thf(zip_derived_cl927, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X6 : arrow_1429601828e_indi > $o]:
95.47/12.70	        (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.70	                              ((('#B') @ (member526088951_alt_o @ X4) @ 
95.47/12.70	                                ((('#B') @ (pi_Arr1929480907_alt_o @ X6) @ 
95.47/12.70	                                  ('#K'))))))) @ 
95.47/12.70	                   ((('#B') @ (((=>) @ (member2052026769e_indi @ X2 @ X6))) @ 
95.47/12.70	                     (member377231867_alt_o @ (X4 @ X2))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl926])).
95.47/12.70	thf(zip_derived_cl928, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X6 : arrow_1429601828e_indi > $o, 
95.47/12.70	       X8 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	        (((member526088951_alt_o @ X4 @ 
95.47/12.70	          (pi_Arr1929480907_alt_o @ X6 @ ((('#K') @ X8)))) =>
95.47/12.70	          (((member2052026769e_indi @ X2 @ X6) => (member377231867_alt_o @ 
95.47/12.70	            (X4 @ X2) @ X8)))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl927])).
95.47/12.70	thf(zip_derived_cl534, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X4 : (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o]:
95.47/12.70	       ((member526088951_alt_o @ X2 @ X4) = (X4 @ X2))),
95.47/12.70	    inference('simplify nested equalities', [status(thm)],
95.47/12.70	              [zip_derived_cl533])).
95.47/12.70	thf(zip_derived_cl929, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X6 : arrow_1429601828e_indi > $o, 
95.47/12.70	       X8 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	        (((pi_Arr1929480907_alt_o @ X6 @ ((('#K') @ X8)) @ X4) =>
95.47/12.70	          (((member2052026769e_indi @ X2 @ X6) => (member377231867_alt_o @ 
95.47/12.70	            (X4 @ X2) @ X8)))))),
95.47/12.70	    inference('demod', [status(thm)], [zip_derived_cl928, zip_derived_cl534])).
95.47/12.70	thf(zip_derived_cl930, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X6 : arrow_1429601828e_indi > $o, 
95.47/12.70	       X8 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	       (~ (pi_Arr1929480907_alt_o @ X6 @ ((('#K') @ X8)) @ X4)
95.47/12.70	        |  (((member2052026769e_indi @ X2 @ X6) => (member377231867_alt_o @ 
95.47/12.70	             (X4 @ X2) @ X8))))),
95.47/12.70	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl929])).
95.47/12.70	thf(zip_derived_cl931, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X6 : arrow_1429601828e_indi > $o, 
95.47/12.70	       X8 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	       (~ (member2052026769e_indi @ X2 @ X6)
95.47/12.70	        |  (member377231867_alt_o @ (X4 @ X2) @ X8)
95.47/12.70	        | ~ (pi_Arr1929480907_alt_o @ X6 @ ((('#K') @ X8)) @ X4))),
95.47/12.70	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl930])).
95.47/12.70	thf(zip_derived_cl10675, plain,
95.47/12.70	    (![X2 : arrow_1429601828e_indi, 
95.47/12.70	       X4 : arrow_1429601828e_indi > produc1501160679le_alt > $o, 
95.47/12.70	       X6 : arrow_1429601828e_indi > $o, 
95.47/12.70	       X8 : (produc1501160679le_alt > $o) > $o]:
95.47/12.70	       (~ (member2052026769e_indi @ X2 @ X6)
95.47/12.70	        |  (member377231867_alt_o @ (X4 @ X2) @ X8)
95.47/12.70	        | ~ (pi_Arr1929480907_alt_o @ X6 @ ('#ty_enc51' @ X8) @ X4))),
95.47/12.70	    inference('remove_ty_args', [status(thm)], [zip_derived_cl931])).
95.47/12.70	thf(fact_12_in__below, axiom,
95.47/12.70	  (![X:arrow_475358991le_alt,Y:arrow_475358991le_alt,
95.47/12.70	     L_1:( produc1501160679le_alt > $o ),A_24:arrow_475358991le_alt,
95.47/12.70	     B_17:arrow_475358991le_alt]:
95.47/12.70	   ( ( ( A_24 ) != ( B_17 ) ) =>
95.47/12.70	     ( ( member377231867_alt_o @ L_1 @ arrow_823908191le_Lin ) =>
95.47/12.70	       ( ( ( ( ( Y ) != ( A_24 ) ) =>
95.47/12.70	             ( ( ( ( X ) != ( A_24 ) ) =>
95.47/12.70	                 ( member214075476le_alt @
95.47/12.70	                   ( produc1347929815le_alt @ X @ Y ) @ L_1 ) ) & 
95.47/12.70	               ( ( ( X ) = ( A_24 ) ) =>
95.47/12.70	                 ( ( ( Y ) = ( B_17 ) ) | 
95.47/12.70	                   ( member214075476le_alt @
95.47/12.70	                     ( produc1347929815le_alt @ B_17 @ Y ) @ L_1 ) ) ) ) ) & 
95.47/12.70	           ( ( ( Y ) = ( A_24 ) ) =>
95.47/12.70	             ( member214075476le_alt @
95.47/12.70	               ( produc1347929815le_alt @ X @ B_17 ) @ L_1 ) ) & 
95.47/12.70	           ( ( X ) != ( Y ) ) ) <=>
95.47/12.70	         ( member214075476le_alt @
95.47/12.70	           ( produc1347929815le_alt @ X @ Y ) @ 
95.47/12.70	           ( arrow_2098199487_below @ L_1 @ A_24 @ B_17 ) ) ) ) ))).
95.47/12.70	thf(zip_derived_cl46, plain,
95.47/12.70	    ( (((!!) @ (^[Y0 : arrow_475358991le_alt]:
95.47/12.70	                  (((!!) @ (^[Y1 : arrow_475358991le_alt]:
95.47/12.70	                              (((!!) @ (^[Y2 : produc1501160679le_alt > $o]:
95.47/12.70	                                          (((!!) @ (^[Y3 : arrow_475358991le_alt]:
95.47/12.70	                                                      (((!!) @ (^[Y4 : arrow_475358991le_alt]:
95.47/12.70	                                                                  ((((
95.47/12.70	                                                                    (Y3) !=
95.47/12.70	                                                                    (Y4))) =>
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (member377231867_alt_o @ 
95.47/12.70	                                                                    Y2 @ 
95.47/12.70	                                                                    arrow_823908191le_Lin) =>
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (Y1) !=
95.47/12.70	                                                                    (Y3))) =>
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (Y0) !=
95.47/12.70	                                                                    (Y3))) =>
95.47/12.70	                                                                    (member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    Y0 @ Y1) @ 
95.47/12.70	                                                                    Y2))) &
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (Y0) =
95.47/12.70	                                                                    (Y3))) =>
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (Y1) =
95.47/12.70	                                                                    (Y4))) |
95.47/12.70	                                                                    (member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    Y4 @ Y1) @ 
95.47/12.70	                                                                    Y2))))))))) & 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ((
95.47/12.70	                                                                    (Y1) =
95.47/12.70	                                                                    (Y3))) =>
95.47/12.70	                                                                    (member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    Y0 @ Y4) @ 
95.47/12.70	                                                                    Y2))) & 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (Y0) !=
95.47/12.70	                                                                    (Y1))))) <=>
95.47/12.70	                                                                    (member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    Y0 @ Y1) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    arrow_2098199487_below @ 
95.47/12.70	                                                                    Y2 @ 
95.47/12.70	                                                                    Y3 @ Y4)))))))))))))))))))))))),
95.47/12.70	    inference('cnf', [status(esa)], [fact_12_in__below])).
95.47/12.70	thf(zip_derived_cl47, plain,
95.47/12.70	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                 ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.70	                   ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
95.47/12.70	                     ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (!!))))))) @ 
95.47/12.70	                       ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ ((
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    !=))))))))))) @ 
95.47/12.70	                         ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ (
95.47/12.70	                                                            '#B') @ 
95.47/12.70	                                                            ((('#B') @ (
95.47/12.70	                                                              '#B') @ 
95.47/12.70	                                                              ((('#B') @ (
95.47/12.70	                                                                =>) @ 
95.47/12.70	                                                                ((('#C') @ member377231867_alt_o @ 
95.47/12.70	                                                                  arrow_823908191le_Lin)))))))))))) @ 
95.47/12.70	                           ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                        ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.70	                                          ((('#B') @ ((('#B') @ ((('#B') @ (
95.47/12.70	                                                                  '#S'))))) @ 
95.47/12.70	                                            ((('#B') @ ((('#B') @ ((('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))))))) @ 
95.47/12.70	                                              ((('#B') @ ((('#B') @ (
95.47/12.70	                                                           (('#B') @ (
95.47/12.70	                                                            (('#B') @ (
95.47/12.70	                                                             (('#B') @ (<=>))))))))) @ 
95.47/12.70	                                                ((('#S') @ ((('#B') @ (
95.47/12.70	                                                             '#S') @ 
95.47/12.70	                                                             ((('#B') @ (
95.47/12.70	                                                               (('#B') @ (
95.47/12.70	                                                                '#C'))) @ 
95.47/12.70	                                                               ((('#B') @ (
95.47/12.70	                                                                 (('#B') @ (
95.47/12.70	                                                                  (('#B') @ (
95.47/12.70	                                                                   '#C'))))) @ 
95.47/12.70	                                                                 ((('#B') @ (
95.47/12.70	                                                                   (('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C'))))))) @ 
95.47/12.70	                                                                   ((
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    &))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    !=))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    &))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    !=))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ member214075476le_alt)) @ 
95.47/12.70	                                                                    produc1347929815le_alt)))))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    =))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    |))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    =))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ member214075476le_alt)) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ produc1347929815le_alt)))))))))))))))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    =))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ member214075476le_alt)) @ 
95.47/12.70	                                                                    produc1347929815le_alt)))))))))))))))) @ 
95.47/12.70	                                                  (!=))))))))))))) @ 
95.47/12.70	                             ((('#C') @ ((('#B') @ ('#C') @ 
95.47/12.70	                                          ((('#B') @ ((('#B') @ ('#B'))) @ 
95.47/12.70	                                            ((('#B') @ ((('#B') @ ('#B'))) @ 
95.47/12.70	                                              ((('#B') @ ((('#B') @ ('#B'))) @ 
95.47/12.70	                                                ((('#B') @ ((('#B') @ member214075476le_alt)) @ 
95.47/12.70	                                                  produc1347929815le_alt)))))))))) @ 
95.47/12.70	                               arrow_2098199487_below))))))))))))))))))),
95.47/12.70	    inference('lams2combs', [status(thm)], [zip_derived_cl46])).
95.47/12.70	thf(zip_derived_cl723, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                   ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.70	                     ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 
95.47/12.70	                       ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                                          ((('#B') @ (
95.47/12.70	                                                            (('#B') @ (=>))) @ 
95.47/12.70	                                                            (!=))))))))) @ 
95.47/12.70	                         ((('#B') @ ((('#S') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                                 ((('#B') @ ('#B') @ 
95.47/12.70	                                                   ((('#B') @ (=>) @ 
95.47/12.70	                                                     ((('#C') @ member377231867_alt_o @ 
95.47/12.70	                                                       arrow_823908191le_Lin)))))))))) @ 
95.47/12.70	                           ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                        ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.70	                                          ((('#B') @ ((('#B') @ ((('#B') @ (
95.47/12.70	                                                                  '#S'))))) @ 
95.47/12.70	                                            ((('#B') @ ((('#B') @ ((('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    <=>))))))) @ 
95.47/12.70	                                              ((('#S') @ ((('#B') @ (
95.47/12.70	                                                           '#C') @ 
95.47/12.70	                                                           ((('#B') @ (
95.47/12.70	                                                             (('#B') @ ('#C'))) @ 
95.47/12.70	                                                             ((('#B') @ (
95.47/12.70	                                                               (('#B') @ (
95.47/12.70	                                                                (('#B') @ (
95.47/12.70	                                                                 '#C'))))) @ 
95.47/12.70	                                                               ((('#S') @ (
95.47/12.70	                                                                 (('#B') @ (
95.47/12.70	                                                                  '#S') @ 
95.47/12.70	                                                                  ((('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    &))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    !=))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    &))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (arrow_475358991le_alt) !=
95.47/12.70	                                                                    (X2))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    X2))))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (arrow_475358991le_alt) =
95.47/12.70	                                                                    (X2))))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    |))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    =))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ member214075476le_alt)) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ produc1347929815le_alt)))))))))))))))))))))) @ 
95.47/12.70	                                                                 ((('#C') @ (
95.47/12.70	                                                                   (('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#C') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    =))))))))) @ 
95.47/12.70	                                                                   ((
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    X2))))))))))))))) @ 
95.47/12.70	                                                (((arrow_475358991le_alt) !=
95.47/12.70	                                                  (X2))))))))))))) @ 
95.47/12.70	                             ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                          ((('#B') @ ('#B') @ 
95.47/12.70	                                            ((('#B') @ ('#B') @ 
95.47/12.70	                                              ((('#B') @ member214075476le_alt @ 
95.47/12.70	                                                (produc1347929815le_alt @ X2))))))))) @ 
95.47/12.70	                               arrow_2098199487_below))))))))))))))))),
95.47/12.70	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])).
95.47/12.70	thf(zip_derived_cl724, plain,
95.47/12.70	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt]:
95.47/12.70	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.70	                   ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.70	                     ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                             ((('#B') @ ((('#B') @ (=>))) @ 
95.47/12.70	                                               (!=))))))) @ 
95.47/12.70	                       ((('#S') @ ((('#B') @ ('#B') @ 
95.47/12.70	                                    ((('#B') @ ('#B') @ 
95.47/12.70	                                      ((('#B') @ (=>) @ 
95.47/12.70	                                        ((('#C') @ member377231867_alt_o @ 
95.47/12.70	                                          arrow_823908191le_Lin)))))))) @ 
95.47/12.70	                         ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.70	                                      ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.70	                                        ((('#B') @ ((('#B') @ ((('#B') @ (
95.47/12.70	                                                                <=>))))) @ 
95.47/12.70	                                          ((('#C') @ ((('#B') @ ('#C') @ 
95.47/12.70	                                                       ((('#B') @ ((('#B') @ (
95.47/12.70	                                                                    '#C'))) @ 
95.47/12.70	                                                         ((('#S') @ (
95.47/12.70	                                                           (('#B') @ (
95.47/12.70	                                                            '#S') @ 
95.47/12.70	                                                            ((('#B') @ (
95.47/12.70	                                                              (('#B') @ (
95.47/12.70	                                                               '#S'))) @ 
95.47/12.70	                                                              ((('#B') @ (
95.47/12.70	                                                                (('#B') @ (
95.47/12.70	                                                                 (('#B') @ (
95.47/12.70	                                                                  &))))) @ 
95.47/12.70	                                                                ((('#B') @ (
95.47/12.70	                                                                  (('#S') @ (
95.47/12.70	                                                                   (('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (arrow_475358991le_alt) !=
95.47/12.70	                                                                    (X4))))))))) @ 
95.47/12.70	                                                                  ((('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#S') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B'))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    &))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (arrow_475358991le_alt) !=
95.47/12.70	                                                                    (X2))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    member214075476le_alt @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    produc1347929815le_alt @ 
95.47/12.70	                                                                    X2 @ X4)))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    '#B') @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    =>) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (arrow_475358991le_alt) =
95.47/12.70	                                                                    (X2))))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#S') @ (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#B') @ (
95.47/12.70	                                                                    |) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (arrow_475358991le_alt) =
95.47/12.70	                                                                    (X4))))))) @ 
95.47/12.70	                                                                    (
95.47/12.70	                                                                    (
95.47/12.70	                                                                    ('#C') @ (
95.47/12.70	                                                                    (
95.47/12.71	                                                                    ('#B') @ member214075476le_alt @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#C') @ produc1347929815le_alt @ 
95.47/12.71	                                                                    X4)))))))))))))))))))) @ 
95.47/12.71	                                                           ((('#B') @ (
95.47/12.71	                                                             (('#C') @ (
95.47/12.71	                                                              (('#B') @ (
95.47/12.71	                                                               '#B') @ 
95.47/12.71	                                                               ((('#B') @ (
95.47/12.71	                                                                 =>) @ 
95.47/12.71	                                                                 (((arrow_475358991le_alt) =
95.47/12.71	                                                                   (X4))))))))) @ 
95.47/12.71	                                                             ((('#C') @ (
95.47/12.71	                                                               (('#B') @ member214075476le_alt @ 
95.47/12.71	                                                                (produc1347929815le_alt @ 
95.47/12.71	                                                                 X2))))))))))))) @ 
95.47/12.71	                                            (((X2) != (X4))))))))))) @ 
95.47/12.71	                           ((('#B') @ ((('#B') @ ((('#B') @ (member214075476le_alt @ 
95.47/12.71	                                                             (produc1347929815le_alt @ 
95.47/12.71	                                                              X2 @ X4)))))) @ 
95.47/12.71	                             arrow_2098199487_below))))))))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl723])).
95.47/12.71	thf(zip_derived_cl725, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o]:
95.47/12.71	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.71	                   ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.71	                                ((('#B') @ ((('#B') @ (=>))) @ (!=))))) @ 
95.47/12.71	                     ((('#B') @ ((('#B') @ (((=>) @ (member377231867_alt_o @ 
95.47/12.71	                                                     X6 @ 
95.47/12.71	                                                     arrow_823908191le_Lin))))) @ 
95.47/12.71	                       ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.71	                                    ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.71	                                      ((('#C') @ ((('#B') @ ('#C') @ 
95.47/12.71	                                                   ((('#S') @ ((('#B') @ (
95.47/12.71	                                                                '#S') @ 
95.47/12.71	                                                                ((('#B') @ (
95.47/12.71	                                                                  (('#B') @ (
95.47/12.71	                                                                   &))) @ 
95.47/12.71	                                                                  ((('#S') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    '#B') @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    =>) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (arrow_475358991le_alt) !=
95.47/12.71	                                                                    (X4))))))) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#S') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    '#B') @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    &) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#C') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    =>) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (arrow_475358991le_alt) !=
95.47/12.71	                                                                    (X2))))) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    member214075476le_alt @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    produc1347929815le_alt @ 
95.47/12.71	                                                                    X2 @ X4) @ 
95.47/12.71	                                                                    X6))))))) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#C') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    '#B') @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    =>) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (arrow_475358991le_alt) =
95.47/12.71	                                                                    (X2))))))) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#S') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    |) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (arrow_475358991le_alt) =
95.47/12.71	                                                                    (X4))))) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#C') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ member214075476le_alt @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#C') @ produc1347929815le_alt @ 
95.47/12.71	                                                                    X4)))) @ 
95.47/12.71	                                                                    X6)))))))))))))) @ 
95.47/12.71	                                                     ((('#C') @ ((('#B') @ (
95.47/12.71	                                                                  '#B') @ 
95.47/12.71	                                                                  ((('#B') @ (
95.47/12.71	                                                                    =>) @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (arrow_475358991le_alt) =
95.47/12.71	                                                                    (X4))))))) @ 
95.47/12.71	                                                       ((('#C') @ ((('#B') @ member214075476le_alt @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    produc1347929815le_alt @ 
95.47/12.71	                                                                    X2))) @ 
95.47/12.71	                                                         X6)))))))) @ 
95.47/12.71	                                        (((X2) != (X4))))))))) @ 
95.47/12.71	                         ((('#B') @ ((('#B') @ (member214075476le_alt @ 
95.47/12.71	                                                (produc1347929815le_alt @ 
95.47/12.71	                                                 X2 @ X4)))) @ 
95.47/12.71	                           (arrow_2098199487_below @ X6)))))))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl724])).
95.47/12.71	thf(zip_derived_cl726, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt]:
95.47/12.71	        (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.71	                              (((arrow_475358991le_alt) != (X8))))) @ 
95.47/12.71	                   ((('#B') @ (((=>) @ (member377231867_alt_o @ X6 @ 
95.47/12.71	                                        arrow_823908191le_Lin))) @ 
95.47/12.71	                     ((('#S') @ ((('#B') @ (<=>) @ 
95.47/12.71	                                  ((('#C') @ ((('#S') @ ((('#B') @ (&) @ 
95.47/12.71	                                                          ((('#B') @ (
95.47/12.71	                                                            ((=>) @ (
95.47/12.71	                                                             ((X4) != (X8))))) @ 
95.47/12.71	                                                            ((('#B') @ (
95.47/12.71	                                                              ((&) @ (
95.47/12.71	                                                               ((((X2) !=
95.47/12.71	                                                                  (X8))) =>
95.47/12.71	                                                                (member214075476le_alt @ 
95.47/12.71	                                                                (produc1347929815le_alt @ 
95.47/12.71	                                                                 X2 @ X4) @ 
95.47/12.71	                                                                X6))))) @ 
95.47/12.71	                                                              ((('#B') @ (
95.47/12.71	                                                                ((=>) @ (
95.47/12.71	                                                                 ((X2) = (X8))))) @ 
95.47/12.71	                                                                ((('#S') @ (
95.47/12.71	                                                                  (('#B') @ (
95.47/12.71	                                                                   |) @ 
95.47/12.71	                                                                   ((
95.47/12.71	                                                                    (arrow_475358991le_alt) =
95.47/12.71	                                                                    (X4))))) @ 
95.47/12.71	                                                                  ((('#C') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ member214075476le_alt @ 
95.47/12.71	                                                                    (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#C') @ produc1347929815le_alt @ 
95.47/12.71	                                                                    X4)))) @ 
95.47/12.71	                                                                    X6)))))))))))) @ 
95.47/12.71	                                               ((('#B') @ (((=>) @ ((
95.47/12.71	                                                                    (X4) =
95.47/12.71	                                                                    (X8))))) @ 
95.47/12.71	                                                 ((('#C') @ ((('#B') @ member214075476le_alt @ 
95.47/12.71	                                                              (produc1347929815le_alt @ 
95.47/12.71	                                                               X2))) @ 
95.47/12.71	                                                   X6)))))) @ 
95.47/12.71	                                    (((X2) != (X4))))))) @ 
95.47/12.71	                       ((('#B') @ (member214075476le_alt @ 
95.47/12.71	                                   (produc1347929815le_alt @ X2 @ X4)) @ 
95.47/12.71	                         (arrow_2098199487_below @ X6 @ X8)))))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl725])).
95.47/12.71	thf(zip_derived_cl727, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt, 
95.47/12.71	       X10 : arrow_475358991le_alt]:
95.47/12.71	        (((((X8) != (X10))) =>
95.47/12.71	          (((member377231867_alt_o @ X6 @ arrow_823908191le_Lin) =>
95.47/12.71	            (((((((((X4) != (X8))) =>
95.47/12.71	                  (((((((X2) != (X8))) => (member214075476le_alt @ 
95.47/12.71	                      (produc1347929815le_alt @ X2 @ X4) @ X6))) &
95.47/12.71	                    (((((X2) = (X8))) =>
95.47/12.71	                      (((((X4) = (X10))) | (member214075476le_alt @ 
95.47/12.71	                        (produc1347929815le_alt @ X10 @ X4) @ X6))))))))) & 
95.47/12.71	                (((((X4) = (X8))) => (member214075476le_alt @ 
95.47/12.71	                  (produc1347929815le_alt @ X2 @ X10) @ X6))) & 
95.47/12.71	                (((X2) != (X4))))) <=>
95.47/12.71	              (member214075476le_alt @ (produc1347929815le_alt @ X2 @ X4) @ 
95.47/12.71	              (arrow_2098199487_below @ X6 @ X8 @ X10))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl726])).
95.47/12.71	thf(zip_derived_cl499, plain,
95.47/12.71	    (![X2 : produc1501160679le_alt > $o, 
95.47/12.71	       X4 : (produc1501160679le_alt > $o) > $o]:
95.47/12.71	       ((X4 @ X2) = (member377231867_alt_o @ X2 @ X4))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl498])).
95.47/12.71	thf(zip_derived_cl470, plain,
95.47/12.71	    (![X2 : produc1501160679le_alt, X4 : produc1501160679le_alt > $o]:
95.47/12.71	       ((member214075476le_alt @ X2 @ X4) = (X4 @ X2))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl469])).
95.47/12.71	thf(zip_derived_cl728, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt, 
95.47/12.71	       X10 : arrow_475358991le_alt]:
95.47/12.71	        (((((X8) != (X10))) =>
95.47/12.71	          (((arrow_823908191le_Lin @ X6) =>
95.47/12.71	            (((((((((X4) != (X8))) =>
95.47/12.71	                  (((((((X2) != (X8))) => (member214075476le_alt @ 
95.47/12.71	                      (produc1347929815le_alt @ X2 @ X4) @ X6))) &
95.47/12.71	                    (((((X2) = (X8))) =>
95.47/12.71	                      (((((X4) = (X10))) | (member214075476le_alt @ 
95.47/12.71	                        (produc1347929815le_alt @ X10 @ X4) @ X6))))))))) & 
95.47/12.71	                (((((X4) = (X8))) => (member214075476le_alt @ 
95.47/12.71	                  (produc1347929815le_alt @ X2 @ X10) @ X6))) & 
95.47/12.71	                (((X2) != (X4))))) <=>
95.47/12.71	              (arrow_2098199487_below @ X6 @ X8 @ X10 @ 
95.47/12.71	              (produc1347929815le_alt @ X2 @ X4))))))))),
95.47/12.71	    inference('demod', [status(thm)],
95.47/12.71	              [zip_derived_cl727, zip_derived_cl499, zip_derived_cl470])).
95.47/12.71	thf(zip_derived_cl729, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt, 
95.47/12.71	       X10 : arrow_475358991le_alt]:
95.47/12.71	       (~ (((X8) != (X10)))
95.47/12.71	        |  (((arrow_823908191le_Lin @ X6) =>
95.47/12.71	             (((((((((X4) != (X8))) =>
95.47/12.71	                   (((((((X2) != (X8))) => (member214075476le_alt @ 
95.47/12.71	                       (produc1347929815le_alt @ X2 @ X4) @ X6))) &
95.47/12.71	                     (((((X2) = (X8))) =>
95.47/12.71	                       (((((X4) = (X10))) | (member214075476le_alt @ 
95.47/12.71	                         (produc1347929815le_alt @ X10 @ X4) @ X6))))))))) & 
95.47/12.71	                 (((((X4) = (X8))) => (member214075476le_alt @ 
95.47/12.71	                   (produc1347929815le_alt @ X2 @ X10) @ X6))) & 
95.47/12.71	                 (((X2) != (X4))))) <=>
95.47/12.71	               (arrow_2098199487_below @ X6 @ X8 @ X10 @ 
95.47/12.71	               (produc1347929815le_alt @ X2 @ X4)))))))),
95.47/12.71	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl728])).
95.47/12.71	thf(zip_derived_cl730, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt, 
95.47/12.71	       X10 : arrow_475358991le_alt]:
95.47/12.71	       (((X8) = (X10))
95.47/12.71	        |  (((arrow_823908191le_Lin @ X6) =>
95.47/12.71	             (((((((((X4) != (X8))) =>
95.47/12.71	                   (((((((X2) != (X8))) => (member214075476le_alt @ 
95.47/12.71	                       (produc1347929815le_alt @ X2 @ X4) @ X6))) &
95.47/12.71	                     (((((X2) = (X8))) =>
95.47/12.71	                       (((((X4) = (X10))) | (member214075476le_alt @ 
95.47/12.71	                         (produc1347929815le_alt @ X10 @ X4) @ X6))))))))) & 
95.47/12.71	                 (((((X4) = (X8))) => (member214075476le_alt @ 
95.47/12.71	                   (produc1347929815le_alt @ X2 @ X10) @ X6))) & 
95.47/12.71	                 (((X2) != (X4))))) <=>
95.47/12.71	               (arrow_2098199487_below @ X6 @ X8 @ X10 @ 
95.47/12.71	               (produc1347929815le_alt @ X2 @ X4)))))))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl729])).
95.47/12.71	thf(zip_derived_cl731, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt, 
95.47/12.71	       X10 : arrow_475358991le_alt]:
95.47/12.71	       (~ (arrow_823908191le_Lin @ X6)
95.47/12.71	        |  (((((((((X4) != (X8))) =>
95.47/12.71	                 (((((((X2) != (X8))) => (member214075476le_alt @ 
95.47/12.71	                     (produc1347929815le_alt @ X2 @ X4) @ X6))) &
95.47/12.71	                   (((((X2) = (X8))) =>
95.47/12.71	                     (((((X4) = (X10))) | (member214075476le_alt @ 
95.47/12.71	                       (produc1347929815le_alt @ X10 @ X4) @ X6))))))))) & 
95.47/12.71	               (((((X4) = (X8))) => (member214075476le_alt @ 
95.47/12.71	                 (produc1347929815le_alt @ X2 @ X10) @ X6))) & 
95.47/12.71	               (((X2) != (X4))))) <=>
95.47/12.71	             (arrow_2098199487_below @ X6 @ X8 @ X10 @ 
95.47/12.71	             (produc1347929815le_alt @ X2 @ X4))))
95.47/12.71	        | ((X8) = (X10)))),
95.47/12.71	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl730])).
95.47/12.71	thf(zip_derived_cl732, plain,
95.47/12.71	    (![X2 : arrow_475358991le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : produc1501160679le_alt > $o, X8 : arrow_475358991le_alt, 
95.47/12.71	       X10 : arrow_475358991le_alt]:
95.47/12.71	       (~ (arrow_823908191le_Lin @ X6)
95.47/12.71	        | ((((((((X4) != (X8))) =>
95.47/12.71	               (((((((X2) != (X8))) => (member214075476le_alt @ 
95.47/12.71	                   (produc1347929815le_alt @ X2 @ X4) @ X6))) &
95.47/12.71	                 (((((X2) = (X8))) =>
95.47/12.71	                   (((((X4) = (X10))) | (member214075476le_alt @ 
95.47/12.71	                     (produc1347929815le_alt @ X10 @ X4) @ X6))))))))) & 
95.47/12.71	             (((((X4) = (X8))) => (member214075476le_alt @ 
95.47/12.71	               (produc1347929815le_alt @ X2 @ X10) @ X6))) & 
95.47/12.71	             (((X2) != (X4)))))
95.47/12.71	            = (arrow_2098199487_below @ X6 @ X8 @ X10 @ 
95.47/12.71	               (produc1347929815le_alt @ X2 @ X4)))
95.47/12.71	        | ((X8) = (X10)))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl731])).
95.47/12.71	thf(fact_365_snoc__eq__iff__butlast, axiom,
95.47/12.71	  (![Xs_106:list_A2115238852le_alt,X_51:arrow_475358991le_alt,
95.47/12.71	     Ys_54:list_A2115238852le_alt]:
95.47/12.71	   ( ( ( ( last_A1217315288le_alt @ Ys_54 ) = ( X_51 ) ) & 
95.47/12.71	       ( ( butlas274947851le_alt @ Ys_54 ) = ( Xs_106 ) ) & 
95.47/12.71	       ( ( Ys_54 ) != ( nil_Ar1286194111le_alt ) ) ) <=>
95.47/12.71	     ( ( append179082452le_alt @
95.47/12.71	         Xs_106 @ ( cons_A228743023le_alt @ X_51 @ nil_Ar1286194111le_alt ) ) =
95.47/12.71	       ( Ys_54 ) ) ))).
95.47/12.71	thf(zip_derived_cl337, plain,
95.47/12.71	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.71	                  (((!!) @ (^[Y1 : arrow_475358991le_alt]:
95.47/12.71	                              (((!!) @ (^[Y2 : list_A2115238852le_alt]:
95.47/12.71	                                          (((((((last_A1217315288le_alt @ 
95.47/12.71	                                                Y2) = (Y1))) & 
95.47/12.71	                                              (((butlas274947851le_alt @ 
95.47/12.71	                                                Y2) = (Y0))) & 
95.47/12.71	                                              (((Y2) !=
95.47/12.71	                                                (nil_Ar1286194111le_alt))))) <=>
95.47/12.71	                                            (((append179082452le_alt @ Y0 @ 
95.47/12.71	                                              (cons_A228743023le_alt @ Y1 @ 
95.47/12.71	                                               nil_Ar1286194111le_alt)) =
95.47/12.71	                                              (Y2))))))))))))))),
95.47/12.71	    inference('cnf', [status(esa)], [fact_365_snoc__eq__iff__butlast])).
95.47/12.71	thf(zip_derived_cl338, plain,
95.47/12.71	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.71	                 ((('#B') @ ((('#B') @ (!!))) @ 
95.47/12.71	                   ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.71	                                ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.71	                                  ((('#B') @ ((('#B') @ ((('#B') @ (<=>))))) @ 
95.47/12.71	                                    ((('#C') @ ((('#B') @ ('#C') @ 
95.47/12.71	                                                 ((('#B') @ ((('#B') @ ('#S'))) @ 
95.47/12.71	                                                   ((('#B') @ ((('#C') @ (
95.47/12.71	                                                                (('#B') @ (
95.47/12.71	                                                                 '#S') @ 
95.47/12.71	                                                                 ((('#B') @ (
95.47/12.71	                                                                   (('#B') @ (
95.47/12.71	                                                                    &))) @ 
95.47/12.71	                                                                   ((
95.47/12.71	                                                                    ('#C') @ (
95.47/12.71	                                                                    (
95.47/12.71	                                                                    ('#B') @ (
95.47/12.71	                                                                    =) @ 
95.47/12.71	                                                                    last_A1217315288le_alt)))))))))) @ 
95.47/12.71	                                                     ((('#C') @ ((('#B') @ (
95.47/12.71	                                                                  =) @ 
95.47/12.71	                                                                  butlas274947851le_alt)))))))))) @ 
95.47/12.71	                                      ((('#C') @ (!=) @ 
95.47/12.71	                                        nil_Ar1286194111le_alt)))))))))) @ 
95.47/12.71	                     ((('#B') @ ((('#B') @ (=))) @ 
95.47/12.71	                       ((('#C') @ ((('#B') @ ('#B') @ append179082452le_alt)) @ 
95.47/12.71	                         ((('#C') @ cons_A228743023le_alt @ 
95.47/12.71	                           nil_Ar1286194111le_alt))))))))))))))),
95.47/12.71	    inference('lams2combs', [status(thm)], [zip_derived_cl337])).
95.47/12.71	thf(zip_derived_cl844, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt]:
95.47/12.71	        (((!!) @ ((('#B') @ (!!) @ 
95.47/12.71	                   ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.71	                                ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.71	                                  ((('#C') @ ((('#B') @ ('#S') @ 
95.47/12.71	                                               ((('#C') @ ((('#B') @ (
95.47/12.71	                                                            '#S') @ 
95.47/12.71	                                                            ((('#B') @ (
95.47/12.71	                                                              (('#B') @ (&))) @ 
95.47/12.71	                                                              ((('#C') @ (
95.47/12.71	                                                                (('#B') @ (
95.47/12.71	                                                                 =) @ 
95.47/12.71	                                                                 last_A1217315288le_alt)))))))) @ 
95.47/12.71	                                                 ((('#C') @ ((('#B') @ (
95.47/12.71	                                                              =) @ 
95.47/12.71	                                                              butlas274947851le_alt)) @ 
95.47/12.71	                                                   X2)))))) @ 
95.47/12.71	                                    ((('#C') @ (!=) @ nil_Ar1286194111le_alt)))))))) @ 
95.47/12.71	                     ((('#B') @ (=) @ 
95.47/12.71	                       ((('#B') @ (append179082452le_alt @ X2) @ 
95.47/12.71	                         ((('#C') @ cons_A228743023le_alt @ 
95.47/12.71	                           nil_Ar1286194111le_alt))))))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl338])).
95.47/12.71	thf(zip_derived_cl845, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.71	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 
95.47/12.71	                              ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 
95.47/12.71	                                                      ((('#C') @ ((('#B') @ (
95.47/12.71	                                                                   =) @ 
95.47/12.71	                                                                   last_A1217315288le_alt)) @ 
95.47/12.71	                                                        X4)))) @ 
95.47/12.71	                                           ((('#C') @ ((('#B') @ (=) @ 
95.47/12.71	                                                        butlas274947851le_alt)) @ 
95.47/12.71	                                             X2)))) @ 
95.47/12.71	                                ((('#C') @ (!=) @ nil_Ar1286194111le_alt)))))) @ 
95.47/12.71	                   (((list_A2115238852le_alt) = (append179082452le_alt @ 
95.47/12.71	                     X2 @ 
95.47/12.71	                     (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl844])).
95.47/12.71	thf(zip_derived_cl846, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : list_A2115238852le_alt]:
95.47/12.71	        (((((((last_A1217315288le_alt @ X6) = (X4))) & 
95.47/12.71	            (((butlas274947851le_alt @ X6) = (X2))) & 
95.47/12.71	            (((X6) != (nil_Ar1286194111le_alt))))) <=>
95.47/12.71	          (((append179082452le_alt @ X2 @ 
95.47/12.71	            (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)) = (X6)))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl845])).
95.47/12.71	thf(zip_derived_cl847, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt, 
95.47/12.71	       X6 : list_A2115238852le_alt]:
95.47/12.71	       ((((((last_A1217315288le_alt @ X6) = (X4))) & 
95.47/12.71	          (((butlas274947851le_alt @ X6) = (X2))) & 
95.47/12.71	          (((X6) != (nil_Ar1286194111le_alt)))))
95.47/12.71	         = (((append179082452le_alt @ X2 @ 
95.47/12.71	             (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)) = (X6))))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl846])).
95.47/12.71	thf(fact_292_distinct__butlast, axiom,
95.47/12.71	  (![Xs_116:list_A2115238852le_alt]:
95.47/12.71	   ( ( ( Xs_116 ) != ( nil_Ar1286194111le_alt ) ) =>
95.47/12.71	     ( ( distin236324274le_alt @ Xs_116 ) =>
95.47/12.71	       ( distin236324274le_alt @ ( butlas274947851le_alt @ Xs_116 ) ) ) ))).
95.47/12.71	thf(zip_derived_cl139, plain,
95.47/12.71	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.71	                  (((((Y0) != (nil_Ar1286194111le_alt))) =>
95.47/12.71	                    (((distin236324274le_alt @ Y0) =>
95.47/12.71	                      (distin236324274le_alt @ (butlas274947851le_alt @ Y0)))))))))),
95.47/12.71	    inference('cnf', [status(esa)], [fact_292_distinct__butlast])).
95.47/12.71	thf(zip_derived_cl140, plain,
95.47/12.71	    ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
95.47/12.71	                            ((('#C') @ (!=) @ nil_Ar1286194111le_alt)))) @ 
95.47/12.71	                 ((('#S') @ ((('#B') @ (=>) @ distin236324274le_alt)) @ 
95.47/12.71	                   ((('#B') @ distin236324274le_alt @ butlas274947851le_alt))))))))),
95.47/12.71	    inference('lams2combs', [status(thm)], [zip_derived_cl139])).
95.47/12.71	thf(zip_derived_cl444, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt]:
95.47/12.71	        (((((X2) != (nil_Ar1286194111le_alt))) =>
95.47/12.71	          (((distin236324274le_alt @ X2) => (distin236324274le_alt @ 
95.47/12.71	            (butlas274947851le_alt @ X2))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl140])).
95.47/12.71	thf(zip_derived_cl445, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt]:
95.47/12.71	       (~ (((X2) != (nil_Ar1286194111le_alt)))
95.47/12.71	        |  (((distin236324274le_alt @ X2) => (distin236324274le_alt @ 
95.47/12.71	             (butlas274947851le_alt @ X2)))))),
95.47/12.71	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl444])).
95.47/12.71	thf(zip_derived_cl446, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt]:
95.47/12.71	       (((X2) = (nil_Ar1286194111le_alt))
95.47/12.71	        |  (((distin236324274le_alt @ X2) => (distin236324274le_alt @ 
95.47/12.71	             (butlas274947851le_alt @ X2)))))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl445])).
95.47/12.71	thf(zip_derived_cl447, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt]:
95.47/12.71	       (~ (distin236324274le_alt @ X2)
95.47/12.71	        |  (distin236324274le_alt @ (butlas274947851le_alt @ X2))
95.47/12.71	        | ((X2) = (nil_Ar1286194111le_alt)))),
95.47/12.71	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl446])).
95.47/12.71	thf(fact_492_rev__singleton__conv, axiom,
95.47/12.71	  (![Xs_29:list_A2115238852le_alt,X_20:arrow_475358991le_alt]:
95.47/12.71	   ( ( ( rev_Ar1106406943le_alt @ Xs_29 ) =
95.47/12.71	       ( cons_A228743023le_alt @ X_20 @ nil_Ar1286194111le_alt ) ) <=>
95.47/12.71	     ( ( Xs_29 ) = ( cons_A228743023le_alt @ X_20 @ nil_Ar1286194111le_alt ) ) ))).
95.47/12.71	thf(zip_derived_cl189, plain,
95.47/12.71	    ( (((!!) @ (^[Y0 : list_A2115238852le_alt]:
95.47/12.71	                  (((!!) @ (^[Y1 : arrow_475358991le_alt]:
95.47/12.71	                              (((((rev_Ar1106406943le_alt @ Y0) =
95.47/12.71	                                  (cons_A228743023le_alt @ Y1 @ 
95.47/12.71	                                  nil_Ar1286194111le_alt))) <=>
95.47/12.71	                                (((Y0) = (cons_A228743023le_alt @ Y1 @ 
95.47/12.71	                                  nil_Ar1286194111le_alt)))))))))))),
95.47/12.71	    inference('cnf', [status(esa)], [fact_492_rev__singleton__conv])).
95.47/12.71	thf(zip_derived_cl190, plain,
95.47/12.71	    ( (((!!) @ ((('#B') @ (!!) @ 
95.47/12.71	                 ((('#S') @ ((('#B') @ ('#S') @ 
95.47/12.71	                              ((('#B') @ ((('#B') @ (<=>))) @ 
95.47/12.71	                                ((('#C') @ ((('#B') @ ('#B') @ 
95.47/12.71	                                             ((('#B') @ (=) @ 
95.47/12.71	                                               rev_Ar1106406943le_alt)))) @ 
95.47/12.71	                                  ((('#C') @ cons_A228743023le_alt @ 
95.47/12.71	                                    nil_Ar1286194111le_alt)))))))) @ 
95.47/12.71	                   ((('#C') @ ((('#B') @ ('#B') @ (=))) @ 
95.47/12.71	                     ((('#C') @ cons_A228743023le_alt @ 
95.47/12.71	                       nil_Ar1286194111le_alt))))))))))),
95.47/12.71	    inference('lams2combs', [status(thm)], [zip_derived_cl189])).
95.47/12.71	thf(zip_derived_cl625, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt]:
95.47/12.71	        (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 
95.47/12.71	                              ((('#B') @ (((list_A2115238852le_alt) =
95.47/12.71	                                           (rev_Ar1106406943le_alt @ X2))) @ 
95.47/12.71	                                ((('#C') @ cons_A228743023le_alt @ 
95.47/12.71	                                  nil_Ar1286194111le_alt)))))) @ 
95.47/12.71	                   ((('#B') @ (((list_A2115238852le_alt) = (X2))) @ 
95.47/12.71	                     ((('#C') @ cons_A228743023le_alt @ 
95.47/12.71	                       nil_Ar1286194111le_alt))))))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl190])).
95.47/12.71	thf(zip_derived_cl626, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.71	        (((((rev_Ar1106406943le_alt @ X2) = (cons_A228743023le_alt @ X4 @ 
95.47/12.71	            nil_Ar1286194111le_alt))) <=>
95.47/12.71	          (((X2) = (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt)))))),
95.47/12.71	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl625])).
95.47/12.71	thf(zip_derived_cl627, plain,
95.47/12.71	    (![X2 : list_A2115238852le_alt, X4 : arrow_475358991le_alt]:
95.47/12.71	       ((((rev_Ar1106406943le_alt @ X2) = (cons_A228743023le_alt @ X4 @ 
95.47/12.71	          nil_Ar1286194111le_alt)))
95.47/12.71	         = (((X2) = (cons_A228743023le_alt @ X4 @ nil_Ar1286194111le_alt))))),
95.47/12.71	    inference('simplify nested equalities', [status(thm)],
95.47/12.71	              [zip_derived_cl626])).
95.47/12.71	thf(zip_derived_cl10678, plain, ($false),
95.47/12.71	    inference('eprover', [status(thm)],
95.47/12.71	              [zip_derived_cl409, zip_derived_cl477, zip_derived_cl418, 
95.47/12.71	               zip_derived_cl111, zip_derived_cl52, zip_derived_cl534, 
95.47/12.71	               zip_derived_cl499, zip_derived_cl470, zip_derived_cl603, 
95.47/12.71	               zip_derived_cl429, zip_derived_cl586, zip_derived_cl590, 
95.47/12.71	               zip_derived_cl421, zip_derived_cl502, zip_derived_cl385, 
95.47/12.71	               zip_derived_cl641, zip_derived_cl366, zip_derived_cl471, 
95.47/12.71	               zip_derived_cl558, zip_derived_cl551, zip_derived_cl380, 
95.47/12.71	               zip_derived_cl684, zip_derived_cl561, zip_derived_cl10659, 
95.47/12.71	               zip_derived_cl10675, zip_derived_cl732, zip_derived_cl847, 
95.47/12.71	               zip_derived_cl447, zip_derived_cl627])).
95.47/12.71	
95.47/12.71	% SZS output end Refutation
95.47/12.71	
95.47/12.71	
95.47/12.71	% Terminating...
95.47/12.78	% Runner terminated.
95.47/12.79	% Zipperpin 1.5 exiting
95.47/12.79	EOF