0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.15	% Command    : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vAKTJbKQPE true
0.15/0.36	% Computer   : n029.cluster.edu
0.15/0.36	% Model      : x86_64 x86_64
0.15/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory     : 8042.1875MB
0.15/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 1200
0.15/0.36	% WCLimit    : 120
0.15/0.36	% DateTime   : Tue Jul 13 14:49:55 EDT 2021
0.15/0.36	% CPUTime    : 
0.15/0.36	% Running portfolio for 120 s
0.15/0.36	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.36	% Number of cores: 8
0.15/0.37	% Python version: Python 3.6.8
0.15/0.37	% Running in HO mode
0.56/0.65	% Total configuration time : 828
0.56/0.65	% Estimated wc time : 983
0.56/0.65	% Estimated cpu time (8 cpus) : 122.875
0.58/0.75	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s
0.58/0.75	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s
0.58/0.75	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s
0.58/0.77	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s
0.58/0.78	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s
0.58/0.80	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s
0.58/0.80	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s
0.59/0.80	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s
139.38/18.58	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s
188.39/24.87	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s
270.38/35.68	% /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s
319.03/41.95	% /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s
362.45/47.57	% /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 39s
363.38/47.73	% /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 47s
363.38/47.77	% /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 18s
407.74/53.51	% /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 10s
421.40/55.51	% /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 12s
440.02/57.92	% /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 10s
454.78/59.83	% /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 10s
482.05/63.47	% /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 21s
499.75/65.70	% /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 18s
514.39/67.56	% /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 18s
516.23/67.86	% /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 6s
531.72/69.87	% /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 6s
540.73/71.80	% /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 14s
550.14/73.69	% /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 12s
563.31/76.11	% /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 12s
614.52/83.64	% /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 16s
619.38/84.36	% /export/starexec/sandbox2/solver/bin/lams/15_sine_deep.sh running for 26s
626.82/85.48	% /export/starexec/sandbox2/solver/bin/lams/10_shallow_sine.sh running for 18s
639.82/85.71	% /export/starexec/sandbox2/solver/bin/lams/20_new_c.s3.sh running for 24s
640.74/85.93	% /export/starexec/sandbox2/solver/bin/lams/10_forms2.sh running for 12s
644.23/86.52	% /export/starexec/sandbox2/solver/bin/lams/8_sh.or.sh running for 14s
654.83/88.08	% /export/starexec/sandbox2/solver/bin/lams/15_combs_pe.sh running for 12s
695.54/94.75	% /export/starexec/sandbox2/solver/bin/lams/15_b.split.li.sh running for 26s
714.69/98.15	% /export/starexec/sandbox2/solver/bin/lams/18_sh1.sh running for 21s
723.83/99.48	% /export/starexec/sandbox2/solver/bin/lams/8_no_ord.sh running for 6s
729.00/100.22	% /export/starexec/sandbox2/solver/bin/lams/10_forms3.sh running for 12s
749.53/103.53	% /export/starexec/sandbox2/solver/bin/lams/8_lcnf_new_simp.sh running for 10s
751.95/103.99	% /export/starexec/sandbox2/solver/bin/lams/8_unif0.sh running for 14s
761.50/105.41	% /export/starexec/sandbox2/solver/bin/lams/10_32.sh running for 12s
783.63/108.14	% Solved by lams/8_unif0.sh.
783.63/108.14	% done 760 iterations in 4.025s
783.63/108.14	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
783.63/108.14	% SZS output start Refutation
783.63/108.14	thf(a_type, type, a: $tType).
783.63/108.14	thf('#sk177_type', type, '#sk177': a > a > a > $o).
783.63/108.14	thf('#sk61_type', type, '#sk61': a).
783.63/108.14	thf('#sk70_type', type, '#sk70': a > (a > $o) > a).
783.63/108.14	thf('#sk60_type', type, '#sk60': a).
783.63/108.14	thf(cP_type, type, cP: (a > $o) > $o).
783.63/108.14	thf('#sk149_type', type, '#sk149': a > $o).
783.63/108.14	thf(cQ_type, type, cQ: a > a > $o).
783.63/108.14	thf('#sk24_type', type, '#sk24': (a > $o) > a).
783.63/108.14	thf('#sk34_type', type, '#sk34': a > $o).
783.63/108.14	thf('#sk13_type', type, '#sk13': a > a > $o).
783.63/108.14	thf(cQ_def, axiom,(( cQ  ) =
783.63/108.14	  (^[X:a,Y:a]: ( ?[S:( a > $o )]: ( ( S @ Y ) & ( S @ X ) & ( cP @ S ) ) )))).
783.63/108.14	thf('0', plain,
783.63/108.14	    (( cQ ) =
783.63/108.14	     ( ^[X:a,Y:a]:
783.63/108.14	       ( ?[S:( a > $o )]: ( ( S @ Y ) & ( S @ X ) & ( cP @ S ) ) ) )),
783.63/108.14	    inference('simplify_rw_rule', [status(thm)], [cQ_def])).
783.63/108.14	thf('1', plain,
783.63/108.14	    (( cQ ) =
783.63/108.14	     ( ^[V_1:a,V_2:a]:
783.63/108.14	       ( ?[X4:( a > $o )]: ( ( X4 @ V_2 ) & ( X4 @ V_1 ) & ( cP @ X4 ) ) ) )),
783.63/108.14	    define([status(thm)])).
783.63/108.14	thf(cTHM262_D_EXT2_pme, conjecture,
783.63/108.14	  (( ![Xq1:( a > $o ),Xq2:( a > $o )]:
783.63/108.14	     ( ( ( ( Xq1 ) = ( Xq2 ) ) & ( cP @ Xq1 ) ) => ( cP @ Xq2 ) ) ) =>
783.63/108.14	   ( ( ( ![Xx:a]: ( ?[Xp:( a > $o )]: ( ( cP @ Xp ) & ( Xp @ Xx ) ) ) ) & 
783.63/108.14	       ( ![Xx:a,Xy:a,Xp:( a > $o ),Xq:( a > $o )]:
783.63/108.14	         ( ( ( Xp @ Xx ) & ( Xp @ Xy ) & ( Xq @ Xx ) & ( cP @ Xq ) & 
783.63/108.14	             ( cP @ Xp ) ) =>
783.63/108.14	           ( Xq @ Xy ) ) ) & 
783.63/108.14	       ( ![Xp:( a > $o )]: ( ( cP @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
783.63/108.14	     ( ( ^[Xs:( a > $o )]:
783.63/108.14	         ( ( ![Xx:a]:
783.63/108.14	             ( ( Xs @ Xx ) =>
783.63/108.14	               ( ![Xy:a]: ( ( cQ @ Xx @ Xy ) <=> ( Xs @ Xy ) ) ) ) ) & 
783.63/108.14	           ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) =
783.63/108.14	       ( cP ) ) ))).
783.63/108.14	thf(zf_stmt_0, conjecture,
783.63/108.14	  (( ![X4:( a > $o ),X6:( a > $o )]:
783.63/108.14	     ( ( ( cP @ X4 ) & ( ( X4 ) = ( X6 ) ) ) => ( cP @ X6 ) ) ) =>
783.63/108.14	   ( ( ( ![X20:( a > $o )]: ( ( cP @ X20 ) => ( ?[X22:a]: ( X20 @ X22 ) ) ) ) & 
783.63/108.14	       ( ![X12:a,X14:a,X16:( a > $o ),X18:( a > $o )]:
783.63/108.14	         ( ( ( cP @ X16 ) & ( cP @ X18 ) & ( X18 @ X12 ) & ( X16 @ X14 ) & 
783.63/108.14	             ( X16 @ X12 ) ) =>
783.63/108.14	           ( X18 @ X14 ) ) ) & 
783.63/108.14	       ( ![X8:a]: ( ?[X10:( a > $o )]: ( ( X10 @ X8 ) & ( cP @ X10 ) ) ) ) ) =>
783.63/108.14	     ( ( ^[V_1:( a > $o )]:
783.63/108.14	         ( ( ?[X30:a]: ( V_1 @ X30 ) ) & 
783.63/108.14	           ( ![X24:a]:
783.63/108.14	             ( ( V_1 @ X24 ) =>
783.63/108.14	               ( ![X26:a]:
783.63/108.14	                 ( ( ?[X28:( a > $o )]:
783.63/108.14	                     ( ( cP @ X28 ) & ( X28 @ X24 ) & ( X28 @ X26 ) ) ) <=>
783.63/108.14	                   ( V_1 @ X26 ) ) ) ) ) ) ) =
783.63/108.14	       ( cP ) ) ))).
783.63/108.14	thf(zf_stmt_1, negated_conjecture,
783.63/108.14	  (~( ( ![X4:( a > $o ),X6:( a > $o )]:
783.63/108.14	        ( ( ( cP @ X4 ) & ( ( X4 ) = ( X6 ) ) ) => ( cP @ X6 ) ) ) =>
783.63/108.14	      ( ( ( ![X20:( a > $o )]:
783.63/108.14	            ( ( cP @ X20 ) => ( ?[X22:a]: ( X20 @ X22 ) ) ) ) & 
783.63/108.14	          ( ![X12:a,X14:a,X16:( a > $o ),X18:( a > $o )]:
783.63/108.14	            ( ( ( cP @ X16 ) & ( cP @ X18 ) & ( X18 @ X12 ) & 
783.63/108.14	                ( X16 @ X14 ) & ( X16 @ X12 ) ) =>
783.63/108.14	              ( X18 @ X14 ) ) ) & 
783.63/108.14	          ( ![X8:a]: ( ?[X10:( a > $o )]: ( ( X10 @ X8 ) & ( cP @ X10 ) ) ) ) ) =>
783.63/108.14	        ( ( ^[V_1:( a > $o )]:
783.63/108.14	            ( ( ?[X30:a]: ( V_1 @ X30 ) ) & 
783.63/108.14	              ( ![X24:a]:
783.63/108.14	                ( ( V_1 @ X24 ) =>
783.63/108.14	                  ( ![X26:a]:
783.63/108.14	                    ( ( ?[X28:( a > $o )]:
783.63/108.14	                        ( ( cP @ X28 ) & ( X28 @ X24 ) & ( X28 @ X26 ) ) ) <=>
783.63/108.14	                      ( V_1 @ X26 ) ) ) ) ) ) ) =
783.63/108.14	          ( cP ) ) ) )),
783.63/108.14	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
783.63/108.14	thf(zip_derived_cl0, plain,
783.63/108.14	    (~ (((((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((!!) @ (^[Y1 : a > $o]:
783.63/108.14	                                 (((((cP @ Y0) & (((Y0) = (Y1))))) => (cP @ 
783.63/108.14	                                   Y1))))))))) =>
783.63/108.14	         (((((((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                         (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 
783.63/108.14	             (((!!) @ (^[Y0 : a]:
783.63/108.14	                         (((!!) @ (^[Y1 : a]:
783.63/108.14	                                     (((!!) @ (^[Y2 : a > $o]:
783.63/108.14	                                                 (((!!) @ (^[Y3 : a > $o]:
783.63/108.14	                                                             (((((cP @ Y2) & 
783.63/108.14	                                                                 (cP @ Y3) & 
783.63/108.14	                                                                 (Y3 @ Y0) & 
783.63/108.14	                                                                 (Y2 @ Y1) & 
783.63/108.14	                                                                 (Y2 @ Y0))) =>
783.63/108.14	                                                               (Y3 @ Y1))))))))))))))) & 
783.63/108.14	             (((!!) @ (^[Y0 : a]:
783.63/108.14	                         (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (cP @ Y1))))))))))) =>
783.63/108.14	           ((((^[Y0 : a > $o]:
783.63/108.14	                 (((((??) @ (^[Y1 : a]: (Y0 @ Y1)))) &
783.63/108.14	                   (((!!) @ (^[Y1 : a]:
783.63/108.14	                               (((Y0 @ Y1) =>
783.63/108.14	                                 (((!!) @ (^[Y2 : a]:
783.63/108.14	                                             (((((??) @ (^[Y3 : a > $o]:
783.63/108.14	                                                           (((cP @ Y3) & 
783.63/108.14	                                                             (Y3 @ Y1) & 
783.63/108.14	                                                             (Y3 @ Y2)))))) <=>
783.63/108.14	                                               (Y0 @ Y2))))))))))))))) =
783.63/108.14	             (cP)))))))),
783.63/108.14	    inference('cnf', [status(esa)], [zf_stmt_1])).
783.63/108.14	thf(zip_derived_cl2, plain,
783.63/108.14	    (~ (((((((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                       (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 
783.63/108.14	           (((!!) @ (^[Y0 : a]:
783.63/108.14	                       (((!!) @ (^[Y1 : a]:
783.63/108.14	                                   (((!!) @ (^[Y2 : a > $o]:
783.63/108.14	                                               (((!!) @ (^[Y3 : a > $o]:
783.63/108.14	                                                           (((((cP @ Y2) & 
783.63/108.14	                                                               (cP @ Y3) & 
783.63/108.14	                                                               (Y3 @ Y0) & 
783.63/108.14	                                                               (Y2 @ Y1) & 
783.63/108.14	                                                               (Y2 @ Y0))) =>
783.63/108.14	                                                             (Y3 @ Y1))))))))))))))) & 
783.63/108.14	           (((!!) @ (^[Y0 : a]:
783.63/108.14	                       (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (cP @ Y1))))))))))) =>
783.63/108.14	         ((((^[Y0 : a > $o]:
783.63/108.14	               (((((??) @ (^[Y1 : a]: (Y0 @ Y1)))) &
783.63/108.14	                 (((!!) @ (^[Y1 : a]:
783.63/108.14	                             (((Y0 @ Y1) =>
783.63/108.14	                               (((!!) @ (^[Y2 : a]:
783.63/108.14	                                           (((((??) @ (^[Y3 : a > $o]:
783.63/108.14	                                                         (((cP @ Y3) & 
783.63/108.14	                                                           (Y3 @ Y1) & 
783.63/108.14	                                                           (Y3 @ Y2)))))) <=>
783.63/108.14	                                             (Y0 @ Y2))))))))))))))) =
783.63/108.14	           (cP)))))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
783.63/108.14	thf(zip_derived_cl5, plain,
783.63/108.14	    (~ ((((^[Y0 : a > $o]:
783.63/108.14	             (((((??) @ (^[Y1 : a]: (Y0 @ Y1)))) &
783.63/108.14	               (((!!) @ (^[Y1 : a]:
783.63/108.14	                           (((Y0 @ Y1) =>
783.63/108.14	                             (((!!) @ (^[Y2 : a]:
783.63/108.14	                                         (((((??) @ (^[Y3 : a > $o]:
783.63/108.14	                                                       (((cP @ Y3) & 
783.63/108.14	                                                         (Y3 @ Y1) & 
783.63/108.14	                                                         (Y3 @ Y2)))))) <=>
783.63/108.14	                                           (Y0 @ Y2))))))))))))))) =
783.63/108.14	         (cP)))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
783.63/108.14	thf(zip_derived_cl10, plain,
783.63/108.14	    ((((^[Y0 : a > $o]:
783.63/108.14	          (((((??) @ (^[Y1 : a]: (Y0 @ Y1)))) &
783.63/108.14	            (((!!) @ (^[Y1 : a]:
783.63/108.14	                        (((Y0 @ Y1) =>
783.63/108.14	                          (((!!) @ (^[Y2 : a]:
783.63/108.14	                                      (((((??) @ (^[Y3 : a > $o]:
783.63/108.14	                                                    (((cP @ Y3) & 
783.63/108.14	                                                      (Y3 @ Y1) & (Y3 @ Y2)))))) <=>
783.63/108.14	                                        (Y0 @ Y2)))))))))))))))
783.63/108.14	       != (cP))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])).
783.63/108.14	thf(zip_derived_cl37, plain,
783.63/108.14	    (((((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    ((('#sk34' @ Y0) =>
783.63/108.14	                      (((!!) @ (^[Y1 : a]:
783.63/108.14	                                  (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                (((cP @ 
783.63/108.14	                                                   (^[Y3 : a]: (Y2 @ Y3))) & 
783.63/108.14	                                                  (Y2 @ Y0) & (Y2 @ Y1)))))) <=>
783.63/108.14	                                    ('#sk34' @ Y1)))))))))))))
783.63/108.14	       != (cP @ (^[Y0 : a]: ('#sk34' @ Y0))))),
783.63/108.14	    inference('neg_ext', [status(thm)], [zip_derived_cl10])).
783.63/108.14	thf(zip_derived_cl38, plain,
783.63/108.14	    (((((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    ((('#sk34' @ Y0) =>
783.63/108.14	                      (((!!) @ (^[Y1 : a]:
783.63/108.14	                                  (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                  (Y2 @ Y1)))))) <=>
783.63/108.14	                                    ('#sk34' @ Y1)))))))))))))
783.63/108.14	       != (cP @ '#sk34'))),
783.63/108.14	    inference('ho_norm', [status(thm)], [zip_derived_cl37])).
783.63/108.14	thf(zip_derived_cl54, plain,
783.63/108.14	    ((~ (((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	          (((!!) @ (^[Y0 : a]:
783.63/108.14	                      ((('#sk34' @ Y0) =>
783.63/108.14	                        (((!!) @ (^[Y1 : a]:
783.63/108.14	                                    (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                  (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                    (Y2 @ Y1)))))) <=>
783.63/108.14	                                      ('#sk34' @ Y1)))))))))))))
783.63/108.14	      | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl38])).
783.63/108.14	thf(zip_derived_cl64, plain,
783.63/108.14	    ((~ (((??) @ (^[Y0 : a]: ('#sk34' @ Y0))))
783.63/108.14	      | ~ (((!!) @ (^[Y0 : a]:
783.63/108.14	                      ((('#sk34' @ Y0) =>
783.63/108.14	                        (((!!) @ (^[Y1 : a]:
783.63/108.14	                                    (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                  (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                    (Y2 @ Y1)))))) <=>
783.63/108.14	                                      ('#sk34' @ Y1)))))))))))
783.63/108.14	      | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl54])).
783.63/108.14	thf(zip_derived_cl65, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ ('#sk34' @ X2)
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ (((!!) @ (^[Y0 : a]:
783.63/108.14	                        ((('#sk34' @ Y0) =>
783.63/108.14	                          (((!!) @ (^[Y1 : a]:
783.63/108.14	                                      (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                    (((cP @ Y2) & 
783.63/108.14	                                                      (Y2 @ Y0) & (Y2 @ Y1)))))) <=>
783.63/108.14	                                        ('#sk34' @ Y1))))))))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])).
783.63/108.14	thf(zip_derived_cl66, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ ((('#sk34' @ '#sk60') =>
783.63/108.14	            (((!!) @ (^[Y0 : a]:
783.63/108.14	                        (((((??) @ (^[Y1 : a > $o]:
783.63/108.14	                                      (((cP @ Y1) & (Y1 @ '#sk60') & 
783.63/108.14	                                        (Y1 @ Y0)))))) <=>
783.63/108.14	                          ('#sk34' @ Y0))))))))
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl65])).
783.63/108.14	thf(zip_derived_cl68, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ (((!!) @ (^[Y0 : a]:
783.63/108.14	                      (((((??) @ (^[Y1 : a > $o]:
783.63/108.14	                                    (((cP @ Y1) & (Y1 @ '#sk60') & (Y1 @ Y0)))))) <=>
783.63/108.14	                        ('#sk34' @ Y0))))))
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])).
783.63/108.14	thf(zip_derived_cl69, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                        (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61')))))) <=>
783.63/108.14	            ('#sk34' @ '#sk61')))
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])).
783.63/108.14	thf(zip_derived_cl70, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	          != ('#sk34' @ '#sk61'))
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl69])).
783.63/108.14	thf(zip_derived_cl135, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ (((??) @ (^[Y0 : a > $o]:
783.63/108.14	                      (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	        | ~ ('#sk34' @ '#sk61')
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl70])).
783.63/108.14	thf(zip_derived_cl136, plain,
783.63/108.14	    ((~ (((??) @ (^[Y0 : a > $o]:
783.63/108.14	                    (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	      | ~ ('#sk34' @ '#sk61')
783.63/108.14	      | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('condensation', [status(thm)], [zip_derived_cl135])).
783.63/108.14	thf(zip_derived_cl137, plain,
783.63/108.14	    (![X2 : a > $o]:
783.63/108.14	       (~ (((cP @ X2) & (X2 @ '#sk60') & (X2 @ '#sk61')))
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ '#sk61'))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl136])).
783.63/108.14	thf(zip_derived_cl138, plain,
783.63/108.14	    ((~ (((cP @ '#sk34') & ('#sk34' @ '#sk60') & ('#sk34' @ '#sk61')))
783.63/108.14	      | ~ (cP @ '#sk34')
783.63/108.14	      | ~ ('#sk34' @ '#sk61'))),
783.63/108.14	    inference('triggered_bool_instantiation', [status(thm)],
783.63/108.14	              [zip_derived_cl137])).
783.63/108.14	thf(zip_derived_cl152, plain,
783.63/108.14	    ((~ ((($true) & ('#sk34' @ '#sk60') & ($true)))
783.63/108.14	      | ~ (cP @ '#sk34')
783.63/108.14	      | ~ ('#sk34' @ '#sk61'))),
783.63/108.14	    inference('local_rewriting', [status(thm)], [zip_derived_cl138])).
783.63/108.14	thf(zip_derived_cl153, plain,
783.63/108.14	    ((~ ('#sk34' @ '#sk60') | ~ (cP @ '#sk34') | ~ ('#sk34' @ '#sk61'))),
783.63/108.14	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl152])).
783.63/108.14	thf(zip_derived_cl67, plain,
783.63/108.14	    (![X2 : a]: ( ('#sk34' @ '#sk60') | ~ ('#sk34' @ X2) | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])).
783.63/108.14	thf(zip_derived_cl154, plain, ((~ ('#sk34' @ '#sk61') | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl153, zip_derived_cl67])).
783.63/108.14	thf(zip_derived_cl38, plain,
783.63/108.14	    (((((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    ((('#sk34' @ Y0) =>
783.63/108.14	                      (((!!) @ (^[Y1 : a]:
783.63/108.14	                                  (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                  (Y2 @ Y1)))))) <=>
783.63/108.14	                                    ('#sk34' @ Y1)))))))))))))
783.63/108.14	       != (cP @ '#sk34'))),
783.63/108.14	    inference('ho_norm', [status(thm)], [zip_derived_cl37])).
783.63/108.14	thf(zip_derived_cl53, plain,
783.63/108.14	    (( (((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	         (((!!) @ (^[Y0 : a]:
783.63/108.14	                     ((('#sk34' @ Y0) =>
783.63/108.14	                       (((!!) @ (^[Y1 : a]:
783.63/108.14	                                   (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                 (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                   (Y2 @ Y1)))))) <=>
783.63/108.14	                                     ('#sk34' @ Y1)))))))))))))
783.63/108.14	      |  (cP @ '#sk34'))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl38])).
783.63/108.14	thf(zip_derived_cl72, plain,
783.63/108.14	    (( (((!!) @ (^[Y0 : a]:
783.63/108.14	                   ((('#sk34' @ Y0) =>
783.63/108.14	                     (((!!) @ (^[Y1 : a]:
783.63/108.14	                                 (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                               (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                 (Y2 @ Y1)))))) <=>
783.63/108.14	                                   ('#sk34' @ Y1)))))))))))
783.63/108.14	      |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl53])).
783.63/108.14	thf(zip_derived_cl74, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( ((('#sk34' @ X2) =>
783.63/108.14	           (((!!) @ (^[Y0 : a]:
783.63/108.14	                       (((((??) @ (^[Y1 : a > $o]:
783.63/108.14	                                     (((cP @ Y1) & (Y1 @ X2) & (Y1 @ Y0)))))) <=>
783.63/108.14	                         ('#sk34' @ Y0))))))))
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])).
783.63/108.14	thf(zip_derived_cl76, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ ('#sk34' @ X2)
783.63/108.14	        |  (((!!) @ (^[Y0 : a]:
783.63/108.14	                       (((((??) @ (^[Y1 : a > $o]:
783.63/108.14	                                     (((cP @ Y1) & (Y1 @ X2) & (Y1 @ Y0)))))) <=>
783.63/108.14	                         ('#sk34' @ Y0))))))
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])).
783.63/108.14	thf(zip_derived_cl77, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       ( (((((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))) <=>
783.63/108.14	           ('#sk34' @ X4)))
783.63/108.14	        |  (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])).
783.63/108.14	thf(zip_derived_cl78, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ X2) & (Y0 @ X4))))))
783.63/108.14	          = ('#sk34' @ X4))
783.63/108.14	        |  (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl77])).
783.63/108.14	thf(zip_derived_cl166, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       ( (((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ X2) & (Y0 @ X4))))))
783.63/108.14	        | ~ ('#sk34' @ X4)
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl78])).
783.63/108.14	thf(zip_derived_cl266, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       ( (((cP @ ('#sk177' @ X2 @ X4)) & ('#sk177' @ X2 @ X4 @ X2) & 
783.63/108.14	           ('#sk177' @ X2 @ X4 @ X4)))
783.63/108.14	        |  (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        | ~ ('#sk34' @ X4))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl166])).
783.63/108.14	thf(zip_derived_cl268, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       ( ('#sk177' @ X2 @ X4 @ X2)
783.63/108.14	        | ~ ('#sk34' @ X4)
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])).
783.63/108.14	thf(zip_derived_cl269, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       ( ('#sk177' @ X2 @ X4 @ X4)
783.63/108.14	        | ~ ('#sk34' @ X4)
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])).
783.63/108.14	thf(zip_derived_cl267, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       ( (cP @ ('#sk177' @ X2 @ X4))
783.63/108.14	        | ~ ('#sk34' @ X4)
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])).
783.63/108.14	thf(zip_derived_cl4, plain,
783.63/108.14	    ( (((((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                    (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    (((!!) @ (^[Y1 : a]:
783.63/108.14	                                (((!!) @ (^[Y2 : a > $o]:
783.63/108.14	                                            (((!!) @ (^[Y3 : a > $o]:
783.63/108.14	                                                        (((((cP @ Y2) & 
783.63/108.14	                                                            (cP @ Y3) & 
783.63/108.14	                                                            (Y3 @ Y0) & 
783.63/108.14	                                                            (Y2 @ Y1) & 
783.63/108.14	                                                            (Y2 @ Y0))) =>
783.63/108.14	                                                          (Y3 @ Y1))))))))))))))) & 
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (cP @ Y1)))))))))))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
783.63/108.14	thf(zip_derived_cl9, plain,
783.63/108.14	    ( (((!!) @ (^[Y0 : a]:
783.63/108.14	                  (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & (cP @ Y1)))))))))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])).
783.63/108.14	thf(zip_derived_cl14, plain,
783.63/108.14	    (![X2 : a]:  (((??) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (cP @ Y0))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
783.63/108.14	thf(zip_derived_cl21, plain,
783.63/108.14	    (![X2 : a]:  ((('#sk13' @ X2 @ X2) & (cP @ ('#sk13' @ X2))))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])).
783.63/108.14	thf(zip_derived_cl26, plain, (![X2 : a]:  ('#sk13' @ X2 @ X2)),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
783.63/108.14	thf(zip_derived_cl8, plain,
783.63/108.14	    ( (((!!) @ (^[Y0 : a]:
783.63/108.14	                  (((!!) @ (^[Y1 : a]:
783.63/108.14	                              (((!!) @ (^[Y2 : a > $o]:
783.63/108.14	                                          (((!!) @ (^[Y3 : a > $o]:
783.63/108.14	                                                      (((((cP @ Y2) & 
783.63/108.14	                                                          (cP @ Y3) & 
783.63/108.14	                                                          (Y3 @ Y0) & 
783.63/108.14	                                                          (Y2 @ Y1) & 
783.63/108.14	                                                          (Y2 @ Y0))) =>
783.63/108.14	                                                        (Y3 @ Y1)))))))))))))))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])).
783.63/108.14	thf(zip_derived_cl13, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    (((!!) @ (^[Y1 : a > $o]:
783.63/108.14	                                (((!!) @ (^[Y2 : a > $o]:
783.63/108.14	                                            (((((cP @ Y1) & (cP @ Y2) & 
783.63/108.14	                                                (Y2 @ X2) & (Y1 @ Y0) & 
783.63/108.14	                                                (Y1 @ X2))) =>
783.63/108.14	                                              (Y2 @ Y0))))))))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
783.63/108.14	thf(zip_derived_cl17, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	        (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                    (((!!) @ (^[Y1 : a > $o]:
783.63/108.14	                                (((((cP @ Y0) & (cP @ Y1) & (Y1 @ X2) & 
783.63/108.14	                                    (Y0 @ X4) & (Y0 @ X2))) =>
783.63/108.14	                                  (Y1 @ X4)))))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
783.63/108.14	thf(zip_derived_cl24, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o]:
783.63/108.14	        (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                    (((((cP @ X6) & (cP @ Y0) & (Y0 @ X2) & (X6 @ X4) & 
783.63/108.14	                        (X6 @ X2))) =>
783.63/108.14	                      (Y0 @ X4))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])).
783.63/108.14	thf(zip_derived_cl28, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o, X8 : a > $o]:
783.63/108.14	        (((((cP @ X6) & (cP @ X8) & (X8 @ X2) & (X6 @ X4) & (X6 @ X2))) =>
783.63/108.14	          (X8 @ X4)))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
783.63/108.14	thf(zip_derived_cl29, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
783.63/108.14	        (((((cP @ X2) & (cP @ ('#sk13' @ X0)) & ('#sk13' @ X0 @ X3) & 
783.63/108.14	            (X2 @ X1) & (X2 @ X3))) =>
783.63/108.14	          ('#sk13' @ X0 @ X1)))),
783.63/108.14	    inference('triggered_bool_instantiation', [status(thm)],
783.63/108.14	              [zip_derived_cl28])).
783.63/108.14	thf(zip_derived_cl27, plain, (![X2 : a]:  (cP @ ('#sk13' @ X2))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
783.63/108.14	thf(zip_derived_cl112, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
783.63/108.14	        (((((cP @ X2) & ($true) & ('#sk13' @ X0 @ X3) & (X2 @ X1) & (X2 @ X3))) =>
783.63/108.14	          ('#sk13' @ X0 @ X1)))),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl27])).
783.63/108.14	thf(zip_derived_cl113, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
783.63/108.14	        (((((cP @ X2) & (X2 @ X3) & (X2 @ X1) & ('#sk13' @ X0 @ X3))) =>
783.63/108.14	          ('#sk13' @ X0 @ X1)))),
783.63/108.14	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl112])).
783.63/108.14	thf(zip_derived_cl114, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
783.63/108.14	       (~ (((cP @ X2) & (X2 @ X3) & (X2 @ X1) & ('#sk13' @ X0 @ X3)))
783.63/108.14	        |  ('#sk13' @ X0 @ X1))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl113])).
783.63/108.14	thf(zip_derived_cl115, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
783.63/108.14	       (~ (cP @ X2)
783.63/108.14	        | ~ (X2 @ X3)
783.63/108.14	        | ~ (X2 @ X1)
783.63/108.14	        | ~ ('#sk13' @ X0 @ X3)
783.63/108.14	        |  ('#sk13' @ X0 @ X1))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl114])).
783.63/108.14	thf(zip_derived_cl117, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o]:
783.63/108.14	       ( ('#sk13' @ X0 @ X1) | ~ (X2 @ X1) | ~ (X2 @ X0) | ~ (cP @ X2))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl115])).
783.63/108.14	thf(zip_derived_cl273, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a, X3 : a]:
783.63/108.14	       ( (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        | ~ ('#sk177' @ X1 @ X0 @ X2)
783.63/108.14	        | ~ ('#sk177' @ X1 @ X0 @ X3)
783.63/108.14	        |  ('#sk13' @ X2 @ X3))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl117])).
783.63/108.14	thf(zip_derived_cl428, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a]:
783.63/108.14	       ( (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        |  ('#sk13' @ X0 @ X2)
783.63/108.14	        | ~ ('#sk177' @ X1 @ X0 @ X2)
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl273])).
783.63/108.14	thf(zip_derived_cl434, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a]:
783.63/108.14	       (~ ('#sk177' @ X1 @ X0 @ X2)
783.63/108.14	        |  ('#sk13' @ X0 @ X2)
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('simplify', [status(thm)], [zip_derived_cl428])).
783.63/108.14	thf(zip_derived_cl620, plain,
783.63/108.14	    (![X0 : a, X1 : a]:
783.63/108.14	       ( (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        |  (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        |  ('#sk13' @ X1 @ X0))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl434])).
783.63/108.14	thf(zip_derived_cl624, plain,
783.63/108.14	    (![X0 : a, X1 : a]:
783.63/108.14	       ( ('#sk13' @ X1 @ X0)
783.63/108.14	        | ~ ('#sk34' @ X1)
783.63/108.14	        | ~ ('#sk34' @ X0)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('simplify', [status(thm)], [zip_derived_cl620])).
783.63/108.14	thf(zip_derived_cl117, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o]:
783.63/108.14	       ( ('#sk13' @ X0 @ X1) | ~ (X2 @ X1) | ~ (X2 @ X0) | ~ (cP @ X2))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl115])).
783.63/108.14	thf(zip_derived_cl665, plain,
783.63/108.14	    (![X0 : a, X1 : a]:
783.63/108.14	       (~ ('#sk34' @ X0) | ~ ('#sk34' @ X1) |  ('#sk13' @ X1 @ X0))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl624, zip_derived_cl117])).
783.63/108.14	thf(zip_derived_cl1, plain,
783.63/108.14	    ( (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                  (((!!) @ (^[Y1 : a > $o]:
783.63/108.14	                              (((((cP @ Y0) & (((Y0) = (Y1))))) => (cP @ Y1)))))))))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
783.63/108.14	thf(zip_derived_cl3, plain,
783.63/108.14	    (![X2 : a > $o]:
783.63/108.14	        (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                    (((((cP @ X2) & (((X2) = (Y0))))) => (cP @ Y0))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
783.63/108.14	thf(zip_derived_cl20, plain,
783.63/108.14	    (![X0 : a]:
783.63/108.14	        (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                    (((((cP @ ('#sk13' @ X0)) & ((('#sk13' @ X0) = (Y0))))) =>
783.63/108.14	                      (cP @ Y0))))))),
783.63/108.14	    inference('triggered_bool_instantiation', [status(thm)],
783.63/108.14	              [zip_derived_cl3])).
783.63/108.14	thf(zip_derived_cl27, plain, (![X2 : a]:  (cP @ ('#sk13' @ X2))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
783.63/108.14	thf(zip_derived_cl79, plain,
783.63/108.14	    (![X0 : a]:
783.63/108.14	        (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                    ((((($true) & ((('#sk13' @ X0) = (Y0))))) => (cP @ Y0))))))),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl27])).
783.63/108.14	thf(zip_derived_cl80, plain,
783.63/108.14	    (![X0 : a]:
783.63/108.14	        (((!!) @ (^[Y0 : a > $o]: ((((('#sk13' @ X0) = (Y0))) => (cP @ Y0))))))),
783.63/108.14	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl79])).
783.63/108.14	thf(zip_derived_cl81, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]:  ((((('#sk13' @ X0) = (X2))) => (cP @ X2)))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl80])).
783.63/108.14	thf(zip_derived_cl84, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]: (~ ((('#sk13' @ X0) = (X2))) |  (cP @ X2))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl81])).
783.63/108.14	thf(zip_derived_cl85, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]: ((('#sk13' @ X0) != (X2)) |  (cP @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl84])).
783.63/108.14	thf(zip_derived_cl86, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]:
783.63/108.14	       ((('#sk13' @ X0 @ ('#sk70' @ X0 @ X2)) != (X2 @ ('#sk70' @ X0 @ X2)))
783.63/108.14	        |  (cP @ X2))),
783.63/108.14	    inference('neg_ext', [status(thm)], [zip_derived_cl85])).
783.63/108.14	thf(zip_derived_cl110, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]:
783.63/108.14	       (~ ('#sk13' @ X0 @ ('#sk70' @ X0 @ X2))
783.63/108.14	        | ~ (X2 @ ('#sk70' @ X0 @ X2))
783.63/108.14	        |  (cP @ X2))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl86])).
783.63/108.14	thf(zip_derived_cl668, plain,
783.63/108.14	    (![X0 : a > $o, X1 : a]:
783.63/108.14	       (~ ('#sk34' @ X1)
783.63/108.14	        | ~ ('#sk34' @ ('#sk70' @ X1 @ X0))
783.63/108.14	        |  (cP @ X0)
783.63/108.14	        | ~ (X0 @ ('#sk70' @ X1 @ X0)))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl665, zip_derived_cl110])).
783.63/108.14	thf(zip_derived_cl3186, plain,
783.63/108.14	    (![X0 : a]:
783.63/108.14	       ( (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ ('#sk70' @ X0 @ '#sk34'))
783.63/108.14	        | ~ ('#sk34' @ X0))),
783.63/108.14	    inference('eq_fact', [status(thm)], [zip_derived_cl668])).
783.63/108.14	thf(zip_derived_cl86, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]:
783.63/108.14	       ((('#sk13' @ X0 @ ('#sk70' @ X0 @ X2)) != (X2 @ ('#sk70' @ X0 @ X2)))
783.63/108.14	        |  (cP @ X2))),
783.63/108.14	    inference('neg_ext', [status(thm)], [zip_derived_cl85])).
783.63/108.14	thf(zip_derived_cl109, plain,
783.63/108.14	    (![X0 : a, X2 : a > $o]:
783.63/108.14	       ( ('#sk13' @ X0 @ ('#sk70' @ X0 @ X2))
783.63/108.14	        |  (X2 @ ('#sk70' @ X0 @ X2))
783.63/108.14	        |  (cP @ X2))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl86])).
783.63/108.14	thf(zip_derived_cl26, plain, (![X2 : a]:  ('#sk13' @ X2 @ X2)),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
783.63/108.14	thf(zip_derived_cl27, plain, (![X2 : a]:  (cP @ ('#sk13' @ X2))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
783.63/108.14	thf(zip_derived_cl78, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ X2) & (Y0 @ X4))))))
783.63/108.14	          = ('#sk34' @ X4))
783.63/108.14	        |  (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl77])).
783.63/108.14	thf(zip_derived_cl167, plain,
783.63/108.14	    (![X2 : a, X4 : a]:
783.63/108.14	       (~ (((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ X2) & (Y0 @ X4))))))
783.63/108.14	        |  ('#sk34' @ X4)
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl78])).
783.63/108.14	thf(zip_derived_cl438, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o]:
783.63/108.14	       (~ (((cP @ X6) & (X6 @ X2) & (X6 @ X4)))
783.63/108.14	        |  (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  ('#sk34' @ X4))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl167])).
783.63/108.14	thf(zip_derived_cl442, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o]:
783.63/108.14	       (~ (cP @ X6)
783.63/108.14	        | ~ (X6 @ X2)
783.63/108.14	        | ~ (X6 @ X4)
783.63/108.14	        |  ('#sk34' @ X4)
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl438])).
783.63/108.14	thf(zip_derived_cl28, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o, X8 : a > $o]:
783.63/108.14	        (((((cP @ X6) & (cP @ X8) & (X8 @ X2) & (X6 @ X4) & (X6 @ X2))) =>
783.63/108.14	          (X8 @ X4)))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
783.63/108.14	thf(zip_derived_cl30, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o, X8 : a > $o]:
783.63/108.14	       (~ (((cP @ X6) & (cP @ X8) & (X8 @ X2) & (X6 @ X4) & (X6 @ X2)))
783.63/108.14	        |  (X8 @ X4))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])).
783.63/108.14	thf(zip_derived_cl31, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o, X8 : a > $o]:
783.63/108.14	       (~ (cP @ X6)
783.63/108.14	        | ~ (cP @ X8)
783.63/108.14	        | ~ (X8 @ X2)
783.63/108.14	        | ~ (X6 @ X4)
783.63/108.14	        | ~ (X6 @ X2)
783.63/108.14	        |  (X8 @ X4))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])).
783.63/108.14	thf(zip_derived_cl443, plain,
783.63/108.14	    (![X2 : a, X4 : a, X6 : a > $o]:
783.63/108.14	       (~ ('#sk34' @ X2)
783.63/108.14	        |  ('#sk34' @ X4)
783.63/108.14	        | ~ (X6 @ X4)
783.63/108.14	        | ~ (X6 @ X2)
783.63/108.14	        | ~ (cP @ X6))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl442, zip_derived_cl31])).
783.63/108.14	thf(zip_derived_cl445, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a]:
783.63/108.14	       (~ ('#sk13' @ X0 @ X1)
783.63/108.14	        | ~ ('#sk13' @ X0 @ X2)
783.63/108.14	        |  ('#sk34' @ X2)
783.63/108.14	        | ~ ('#sk34' @ X1))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl443])).
783.63/108.14	thf(zip_derived_cl458, plain,
783.63/108.14	    (![X0 : a, X1 : a]:
783.63/108.14	       (~ ('#sk34' @ X0) |  ('#sk34' @ X1) | ~ ('#sk13' @ X0 @ X1))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl445])).
783.63/108.14	thf(zip_derived_cl470, plain,
783.63/108.14	    (![X0 : a > $o, X1 : a]:
783.63/108.14	       ( (cP @ X0)
783.63/108.14	        |  (X0 @ ('#sk70' @ X1 @ X0))
783.63/108.14	        |  ('#sk34' @ ('#sk70' @ X1 @ X0))
783.63/108.14	        | ~ ('#sk34' @ X1))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl458])).
783.63/108.14	thf(zip_derived_cl2541, plain,
783.63/108.14	    (![X0 : a]:
783.63/108.14	       (~ ('#sk34' @ X0)
783.63/108.14	        |  ('#sk34' @ ('#sk70' @ X0 @ '#sk34'))
783.63/108.14	        |  (cP @ '#sk34'))),
783.63/108.14	    inference('eq_fact', [status(thm)], [zip_derived_cl470])).
783.63/108.14	thf(zip_derived_cl3191, plain,
783.63/108.14	    (![X0 : a]: (~ ('#sk34' @ X0) |  (cP @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl3186, zip_derived_cl2541])).
783.63/108.14	thf(zip_derived_cl71, plain,
783.63/108.14	    (( (((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl53])).
783.63/108.14	thf(zip_derived_cl73, plain,
783.63/108.14	    (( ('#sk34' @ ('#sk24' @ '#sk34')) |  (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl71])).
783.63/108.14	thf(zip_derived_cl7, plain,
783.63/108.14	    ( (((!!) @ (^[Y0 : a > $o]:
783.63/108.14	                  (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])).
783.63/108.14	thf(zip_derived_cl12, plain,
783.63/108.14	    (![X2 : a > $o]:  (((cP @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
783.63/108.14	thf(zip_derived_cl34, plain,
783.63/108.14	    ( (((cP @ '#sk34') => (((??) @ (^[Y0 : a]: ('#sk34' @ Y0))))))),
783.63/108.14	    inference('triggered_bool_instantiation', [status(thm)],
783.63/108.14	              [zip_derived_cl12])).
783.63/108.14	thf(zip_derived_cl39, plain,
783.63/108.14	    ((~ (cP @ '#sk34') |  (((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])).
783.63/108.14	thf(zip_derived_cl40, plain,
783.63/108.14	    (( ('#sk34' @ ('#sk24' @ '#sk34')) | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
783.63/108.14	thf(zip_derived_cl75, plain, ( ('#sk34' @ ('#sk24' @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl40])).
783.63/108.14	thf(zip_derived_cl3226, plain, ( (cP @ '#sk34')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3191, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3271, plain, (~ ('#sk34' @ '#sk61')),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl70, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	          != ('#sk34' @ '#sk61'))
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl69])).
783.63/108.14	thf(zip_derived_cl134, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( (((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	        |  ('#sk34' @ '#sk61')
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('eq_elim', [status(thm)], [zip_derived_cl70])).
783.63/108.14	thf(zip_derived_cl154, plain, ((~ ('#sk34' @ '#sk61') | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl153, zip_derived_cl67])).
783.63/108.14	thf(zip_derived_cl168, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        |  (((??) @ (^[Y0 : a > $o]:
783.63/108.14	                       (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61')))))))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl134, zip_derived_cl154])).
783.63/108.14	thf(zip_derived_cl169, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( (((cP @ '#sk149') & ('#sk149' @ '#sk60') & ('#sk149' @ '#sk61')))
783.63/108.14	        | ~ ('#sk34' @ X2)
783.63/108.14	        | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl168])).
783.63/108.14	thf(zip_derived_cl172, plain,
783.63/108.14	    (![X2 : a]: ( ('#sk149' @ '#sk61') | ~ (cP @ '#sk34') | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
783.63/108.14	thf(zip_derived_cl3226, plain, ( (cP @ '#sk34')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3191, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3274, plain,
783.63/108.14	    (![X2 : a]: ( ('#sk149' @ '#sk61') | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl67, plain,
783.63/108.14	    (![X2 : a]: ( ('#sk34' @ '#sk60') | ~ ('#sk34' @ X2) | ~ (cP @ '#sk34'))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])).
783.63/108.14	thf(zip_derived_cl3226, plain, ( (cP @ '#sk34')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3191, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3269, plain,
783.63/108.14	    (![X2 : a]: ( ('#sk34' @ '#sk60') | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl75, plain, ( ('#sk34' @ ('#sk24' @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl40])).
783.63/108.14	thf(zip_derived_cl3323, plain, ( ('#sk34' @ '#sk60')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3269, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3523, plain, ( ('#sk149' @ '#sk61')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3274, zip_derived_cl3323])).
783.63/108.14	thf(zip_derived_cl70, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	          != ('#sk34' @ '#sk61'))
783.63/108.14	        | ~ (cP @ '#sk34')
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl69])).
783.63/108.14	thf(zip_derived_cl3226, plain, ( (cP @ '#sk34')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3191, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3270, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	          != ('#sk34' @ '#sk61'))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl3271, plain, (~ ('#sk34' @ '#sk61')),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl3429, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( (((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('demod', [status(thm)],
783.63/108.14	              [zip_derived_cl3270, zip_derived_cl3271])).
783.63/108.14	thf(zip_derived_cl3430, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( (((cP @ '#sk149') & ('#sk149' @ '#sk60') & ('#sk149' @ '#sk61')))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3429])).
783.63/108.14	thf(zip_derived_cl3432, plain,
783.63/108.14	    (![X2 : a]: ( ('#sk149' @ '#sk60') | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3430])).
783.63/108.14	thf(zip_derived_cl75, plain, ( ('#sk34' @ ('#sk24' @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl40])).
783.63/108.14	thf(zip_derived_cl3436, plain, ( ('#sk149' @ '#sk60')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3432, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl38, plain,
783.63/108.14	    (((((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	        (((!!) @ (^[Y0 : a]:
783.63/108.14	                    ((('#sk34' @ Y0) =>
783.63/108.14	                      (((!!) @ (^[Y1 : a]:
783.63/108.14	                                  (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                  (Y2 @ Y1)))))) <=>
783.63/108.14	                                    ('#sk34' @ Y1)))))))))))))
783.63/108.14	       != (cP @ '#sk34'))),
783.63/108.14	    inference('ho_norm', [status(thm)], [zip_derived_cl37])).
783.63/108.14	thf(zip_derived_cl3226, plain, ( (cP @ '#sk34')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3191, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3268, plain,
783.63/108.14	    (~ (((((??) @ (^[Y0 : a]: ('#sk34' @ Y0)))) &
783.63/108.14	         (((!!) @ (^[Y0 : a]:
783.63/108.14	                     ((('#sk34' @ Y0) =>
783.63/108.14	                       (((!!) @ (^[Y1 : a]:
783.63/108.14	                                   (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                 (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                   (Y2 @ Y1)))))) <=>
783.63/108.14	                                     ('#sk34' @ Y1)))))))))))))),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl3355, plain,
783.63/108.14	    ((~ (((??) @ (^[Y0 : a]: ('#sk34' @ Y0))))
783.63/108.14	      | ~ (((!!) @ (^[Y0 : a]:
783.63/108.14	                      ((('#sk34' @ Y0) =>
783.63/108.14	                        (((!!) @ (^[Y1 : a]:
783.63/108.14	                                    (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                  (((cP @ Y2) & (Y2 @ Y0) & 
783.63/108.14	                                                    (Y2 @ Y1)))))) <=>
783.63/108.14	                                      ('#sk34' @ Y1))))))))))))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3268])).
783.63/108.14	thf(zip_derived_cl3356, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ ('#sk34' @ X2)
783.63/108.14	        | ~ (((!!) @ (^[Y0 : a]:
783.63/108.14	                        ((('#sk34' @ Y0) =>
783.63/108.14	                          (((!!) @ (^[Y1 : a]:
783.63/108.14	                                      (((((??) @ (^[Y2 : a > $o]:
783.63/108.14	                                                    (((cP @ Y2) & 
783.63/108.14	                                                      (Y2 @ Y0) & (Y2 @ Y1)))))) <=>
783.63/108.14	                                        ('#sk34' @ Y1))))))))))))),
783.63/108.14	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3355])).
783.63/108.14	thf(zip_derived_cl3357, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ ((('#sk34' @ '#sk60') =>
783.63/108.14	            (((!!) @ (^[Y0 : a]:
783.63/108.14	                        (((((??) @ (^[Y1 : a > $o]:
783.63/108.14	                                      (((cP @ Y1) & (Y1 @ '#sk60') & 
783.63/108.14	                                        (Y1 @ Y0)))))) <=>
783.63/108.14	                          ('#sk34' @ Y0))))))))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3356])).
783.63/108.14	thf(zip_derived_cl3359, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ (((!!) @ (^[Y0 : a]:
783.63/108.14	                      (((((??) @ (^[Y1 : a > $o]:
783.63/108.14	                                    (((cP @ Y1) & (Y1 @ '#sk60') & (Y1 @ Y0)))))) <=>
783.63/108.14	                        ('#sk34' @ Y0))))))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3357])).
783.63/108.14	thf(zip_derived_cl3360, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (~ (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                        (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61')))))) <=>
783.63/108.14	            ('#sk34' @ '#sk61')))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3359])).
783.63/108.14	thf(zip_derived_cl3361, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       (((((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	          != ('#sk34' @ '#sk61'))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('simplify nested equalities', [status(thm)],
783.63/108.14	              [zip_derived_cl3360])).
783.63/108.14	thf(zip_derived_cl3271, plain, (~ ('#sk34' @ '#sk61')),
783.63/108.14	    inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl3226])).
783.63/108.14	thf(zip_derived_cl3362, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( (((??) @ (^[Y0 : a > $o]:
783.63/108.14	                     (((cP @ Y0) & (Y0 @ '#sk60') & (Y0 @ '#sk61'))))))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('demod', [status(thm)],
783.63/108.14	              [zip_derived_cl3361, zip_derived_cl3271])).
783.63/108.14	thf(zip_derived_cl3363, plain,
783.63/108.14	    (![X2 : a]:
783.63/108.14	       ( (((cP @ '#sk149') & ('#sk149' @ '#sk60') & ('#sk149' @ '#sk61')))
783.63/108.14	        | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3362])).
783.63/108.14	thf(zip_derived_cl3364, plain,
783.63/108.14	    (![X2 : a]: ( (cP @ '#sk149') | ~ ('#sk34' @ X2))),
783.63/108.14	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3363])).
783.63/108.14	thf(zip_derived_cl75, plain, ( ('#sk34' @ ('#sk24' @ '#sk34'))),
783.63/108.14	    inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl40])).
783.63/108.14	thf(zip_derived_cl3369, plain, ( (cP @ '#sk149')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3364, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl117, plain,
783.63/108.14	    (![X0 : a, X1 : a, X2 : a > $o]:
783.63/108.14	       ( ('#sk13' @ X0 @ X1) | ~ (X2 @ X1) | ~ (X2 @ X0) | ~ (cP @ X2))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl115])).
783.63/108.14	thf(zip_derived_cl3485, plain,
783.63/108.14	    (![X0 : a, X1 : a]:
783.63/108.14	       (~ ('#sk149' @ X0) | ~ ('#sk149' @ X1) |  ('#sk13' @ X0 @ X1))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl3369, zip_derived_cl117])).
783.63/108.14	thf(zip_derived_cl3580, plain,
783.63/108.14	    (![X0 : a]: ( ('#sk13' @ '#sk60' @ X0) | ~ ('#sk149' @ X0))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl3436, zip_derived_cl3485])).
783.63/108.14	thf(zip_derived_cl3922, plain, ( ('#sk13' @ '#sk60' @ '#sk61')),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl3523, zip_derived_cl3580])).
783.63/108.14	thf(zip_derived_cl458, plain,
783.63/108.14	    (![X0 : a, X1 : a]:
783.63/108.14	       (~ ('#sk34' @ X0) |  ('#sk34' @ X1) | ~ ('#sk13' @ X0 @ X1))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl445])).
783.63/108.14	thf(zip_derived_cl3956, plain,
783.63/108.14	    (( ('#sk34' @ '#sk61') | ~ ('#sk34' @ '#sk60'))),
783.63/108.14	    inference('sup-', [status(thm)], [zip_derived_cl3922, zip_derived_cl458])).
783.63/108.14	thf(zip_derived_cl3323, plain, ( ('#sk34' @ '#sk60')),
783.63/108.14	    inference('sup+', [status(thm)], [zip_derived_cl3269, zip_derived_cl75])).
783.63/108.14	thf(zip_derived_cl3988, plain, ( ('#sk34' @ '#sk61')),
783.63/108.14	    inference('demod', [status(thm)],
783.63/108.14	              [zip_derived_cl3956, zip_derived_cl3323])).
783.63/108.14	thf(zip_derived_cl4001, plain, ($false),
783.63/108.14	    inference('demod', [status(thm)],
783.63/108.14	              [zip_derived_cl3271, zip_derived_cl3988])).
783.63/108.14	
783.63/108.14	% SZS output end Refutation
783.63/108.14	
783.63/108.14	
783.63/108.14	% Terminating...
783.63/108.20	% Runner terminated.
783.63/108.21	% Zipperpin 1.5 exiting
783.63/108.22	EOF