0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ybxYmKEka9 true
0.14/0.34	% Computer : n029.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit : 1440
0.14/0.34	% WCLimit  : 180
0.14/0.34	% DateTime : Thu Jul  4 09:43:24 EDT 2024
0.14/0.34	% CPUTime  : 
0.14/0.34	% Running portfolio for 1440 s
0.14/0.34	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.34	% Number of cores: 8
0.14/0.34	% Python version: Python 3.6.8
0.14/0.34	% Running in HO mode
0.47/0.64	% Total configuration time : 828
0.47/0.64	% Estimated wc time : 1656
0.47/0.64	% Estimated cpu time (8 cpus) : 207.0
0.54/0.71	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.54/0.74	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.54/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.54/0.76	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.54/0.76	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.54/0.78	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.54/0.79	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.54/0.79	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
25.41/3.85	% Solved by lams/35_full_unif4.sh.
25.41/3.85	% done 377 iterations in 3.077s
25.41/3.85	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
25.41/3.85	% SZS output start Refutation
25.41/3.85	thf(a_type, type, a: $tType).
25.41/3.85	thf('#sk206_type', type, '#sk206': a > $o).
25.41/3.85	thf('#sk191_type', type, '#sk191': (((a > $o) > $o) > a > $o) > (a > $o) > $o).
25.41/3.85	thf('#sk183_type', type, '#sk183': ((a > $o) > $o) > a > $o).
25.41/3.85	thf('#form213_type', type, '#form213': $o).
25.41/3.85	thf('#sk51_type', type, '#sk51': a).
25.41/3.85	thf('#form196_type', type, '#form196': $o).
25.41/3.85	thf('#sk236_type', type, '#sk236': ((a > $o) > $o) > a > $o).
25.41/3.85	thf('#form221_type', type, '#form221': $o).
25.41/3.85	thf('#sk1_type', type, '#sk1': ((a > $o) > $o) > $o).
25.41/3.85	thf('#sk184_type', type, '#sk184': (a > $o) > $o).
25.41/3.85	thf(cTHM535, conjecture,
25.41/3.85	  (( ![Xs:( ( ( a > $o ) > $o ) > $o )]:
25.41/3.85	     ( ( ![X:( ( a > $o ) > $o )]:
25.41/3.85	         ( ( Xs @ X ) => ( ?[Xt:( a > $o )]: ( X @ Xt ) ) ) ) =>
25.41/3.85	       ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
25.41/3.85	         ( ![X:( ( a > $o ) > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) =>
25.41/3.85	   ( ![A:( ( ( a > $o ) > $o ) > $o )]:
25.41/3.85	     ( ( ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) & 
25.41/3.85	         ( ![X:( ( a > $o ) > $o )]:
25.41/3.85	           ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) ) =>
25.41/3.85	       ( ( ^[Xx:a]:
25.41/3.85	           ( ![Xa:( ( a > $o ) > $o )]:
25.41/3.85	             ( ( A @ Xa ) =>
25.41/3.85	               ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
25.41/3.85	         ( ^[Xx:a]:
25.41/3.85	           ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
25.41/3.85	             ( ![Xa:( ( a > $o ) > $o )]:
25.41/3.85	               ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ))).
25.41/3.85	thf(zf_stmt_0, negated_conjecture,
25.41/3.85	  (~( ( ![Xs:( ( ( a > $o ) > $o ) > $o )]:
25.41/3.85	        ( ( ![X:( ( a > $o ) > $o )]:
25.41/3.85	            ( ( Xs @ X ) => ( ?[Xt:( a > $o )]: ( X @ Xt ) ) ) ) =>
25.41/3.85	          ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
25.41/3.85	            ( ![X:( ( a > $o ) > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) =>
25.41/3.85	      ( ![A:( ( ( a > $o ) > $o ) > $o )]:
25.41/3.85	        ( ( ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) & 
25.41/3.85	            ( ![X:( ( a > $o ) > $o )]:
25.41/3.85	              ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) ) =>
25.41/3.85	          ( ( ^[Xx:a]:
25.41/3.85	              ( ![Xa:( ( a > $o ) > $o )]:
25.41/3.85	                ( ( A @ Xa ) =>
25.41/3.85	                  ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
25.41/3.85	            ( ^[Xx:a]:
25.41/3.85	              ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
25.41/3.85	                ( ![Xa:( ( a > $o ) > $o )]:
25.41/3.85	                  ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ) )),
25.41/3.85	  inference('cnf.neg', [status(esa)], [cTHM535])).
25.41/3.85	thf(zip_derived_cl0, plain,
25.41/3.85	    (~ (((((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
25.41/3.85	                     (((((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                                   (((Y0 @ Y1) =>
25.41/3.85	                                     (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) =>
25.41/3.85	                       (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                                   (((!!) @ (^[Y2 : (a > $o) > $o]:
25.41/3.85	                                               (((Y0 @ Y2) => (Y2 @ 
25.41/3.85	                                                 (Y1 @ Y2))))))))))))))) =>
25.41/3.85	         (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
25.41/3.85	                     (((((((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))) &
25.41/3.85	                         (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                                     (((Y0 @ Y1) =>
25.41/3.85	                                       (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))))) =>
25.41/3.85	                       ((((^[Y1 : a]:
25.41/3.85	                             (((!!) @ (^[Y2 : (a > $o) > $o]:
25.41/3.85	                                         (((Y0 @ Y2) =>
25.41/3.85	                                           (((??) @ (^[Y3 : a > $o]:
25.41/3.85	                                                       (((Y3 @ Y1) & (Y2 @ 
25.41/3.85	                                                         Y3))))))))))))) =
25.41/3.85	                         ((^[Y1 : a]:
25.41/3.85	                             (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                                         (((!!) @ (^[Y3 : (a > $o) > $o]:
25.41/3.85	                                                     (((Y0 @ Y3) =>
25.41/3.85	                                                       (((Y2 @ Y3 @ Y1) &
25.41/3.85	                                                         (Y3 @ (Y2 @ Y3)))))))))))))))))))))))),
25.41/3.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.41/3.85	thf(zip_derived_cl2, plain,
25.41/3.85	    (~ (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
25.41/3.85	                   (((((((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))) &
25.41/3.85	                       (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                                   (((Y0 @ Y1) =>
25.41/3.85	                                     (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))))) =>
25.41/3.85	                     ((((^[Y1 : a]:
25.41/3.85	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
25.41/3.85	                                       (((Y0 @ Y2) =>
25.41/3.85	                                         (((??) @ (^[Y3 : a > $o]:
25.41/3.85	                                                     (((Y3 @ Y1) & (Y2 @ Y3))))))))))))) =
25.41/3.85	                       ((^[Y1 : a]:
25.41/3.85	                           (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                                       (((!!) @ (^[Y3 : (a > $o) > $o]:
25.41/3.85	                                                   (((Y0 @ Y3) =>
25.41/3.85	                                                     (((Y2 @ Y3 @ Y1) &
25.41/3.85	                                                       (Y3 @ (Y2 @ Y3)))))))))))))))))))))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
25.41/3.85	thf(zip_derived_cl5, plain,
25.41/3.85	    (~ (((((((??) @ (^[Y0 : (a > $o) > $o]: ('#sk1' @ Y0)))) &
25.41/3.85	           (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                       ((('#sk1' @ Y0) =>
25.41/3.85	                         (((??) @ (^[Y1 : a > $o]: (Y0 @ Y1))))))))))) =>
25.41/3.85	         ((((^[Y0 : a]:
25.41/3.85	               (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                           ((('#sk1' @ Y1) =>
25.41/3.85	                             (((??) @ (^[Y2 : a > $o]:
25.41/3.85	                                         (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
25.41/3.85	           ((^[Y0 : a]:
25.41/3.85	               (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
25.41/3.85	                                       ((('#sk1' @ Y2) =>
25.41/3.85	                                         (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))))),
25.41/3.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
25.41/3.85	thf(zip_derived_cl8, plain,
25.41/3.85	    (~ ((((^[Y0 : a]:
25.41/3.85	             (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                         ((('#sk1' @ Y1) =>
25.41/3.85	                           (((??) @ (^[Y2 : a > $o]:
25.41/3.85	                                       (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
25.41/3.85	         ((^[Y0 : a]:
25.41/3.85	             (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                         (((!!) @ (^[Y2 : (a > $o) > $o]:
25.41/3.85	                                     ((('#sk1' @ Y2) =>
25.41/3.85	                                       (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])).
25.41/3.85	thf(zip_derived_cl12, plain,
25.41/3.85	    ((((^[Y0 : a]:
25.41/3.85	          (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y1) =>
25.41/3.85	                        (((??) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (Y1 @ Y2)))))))))))))
25.41/3.85	       != ((^[Y0 : a]:
25.41/3.85	              (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                          (((!!) @ (^[Y2 : (a > $o) > $o]:
25.41/3.85	                                      ((('#sk1' @ Y2) =>
25.41/3.85	                                        (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2)))))))))))))))),
25.41/3.85	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])).
25.41/3.85	thf(zip_derived_cl35, plain,
25.41/3.85	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                  ((('#sk1' @ 
25.41/3.85	                    (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
25.41/3.85	                    (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                (((Y1 @ '#sk51') & (Y0 @ 
25.41/3.85	                                  (^[Y2 : a]: (Y1 @ Y2)))))))))))))
25.41/3.85	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                                  ((('#sk1' @ 
25.41/3.85	                                    (^[Y2 : a > $o]:
25.41/3.85	                                       (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
25.41/3.85	                                    (((Y0 @ 
25.41/3.85	                                      (^[Y2 : a > $o]:
25.41/3.85	                                         (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
25.41/3.85	                                      '#sk51') & (Y1 @ 
25.41/3.85	                                      (^[Y2 : a]:
25.41/3.85	                                         (Y0 @ 
25.41/3.85	                                          (^[Y3 : a > $o]:
25.41/3.85	                                             (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
25.41/3.85	                                          Y2))))))))))))))),
25.41/3.85	    inference('neg_ext', [status(thm)], [zip_derived_cl12])).
25.41/3.85	thf(zip_derived_cl36, plain,
25.41/3.85	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                  ((('#sk1' @ Y0) =>
25.41/3.85	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
25.41/3.85	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                                  ((('#sk1' @ Y1) =>
25.41/3.85	                                    (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl35])).
25.41/3.85	thf(zip_derived_cl123, plain,
25.41/3.85	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                  ((('#sk1' @ Y0) =>
25.41/3.85	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
25.41/3.85	       != ((^[Y0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	              (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                          ((('#sk1' @ 
25.41/3.85	                            (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
25.41/3.85	                            (((Y0 @ 
25.41/3.85	                              (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
25.41/3.85	                              '#sk51') & (Y1 @ 
25.41/3.85	                              (^[Y2 : a]:
25.41/3.85	                                 (Y0 @ 
25.41/3.85	                                  (^[Y3 : a > $o]:
25.41/3.85	                                     (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
25.41/3.85	                                  Y2))))))))))) @ 
25.41/3.85	           '#sk183'))),
25.41/3.85	    inference('quantifier_rw', [status(thm)], [zip_derived_cl36])).
25.41/3.85	thf(zip_derived_cl124, plain,
25.41/3.85	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                  ((('#sk1' @ Y0) =>
25.41/3.85	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
25.41/3.85	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl123])).
25.41/3.85	thf(zip_derived_cl125, plain,
25.41/3.85	    (![X-289 : (a > $o) > $o]:
25.41/3.85	       ( ((^[Y0 : (a > $o) > $o]:
25.41/3.85	             ((('#sk1' @ Y0) =>
25.41/3.85	               (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1))))))))) @ 
25.41/3.85	          X-289)
25.41/3.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                       ((('#sk1' @ Y0) =>
25.41/3.85	                         ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('forall_hoist', [status(thm)], [zip_derived_cl124])).
25.41/3.85	thf(zip_derived_cl144, plain,
25.41/3.85	    (![X-289 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X-289) =>
25.41/3.85	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X-289 @ Y0))))))))
25.41/3.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                       ((('#sk1' @ Y0) =>
25.41/3.85	                         ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl125])).
25.41/3.85	thf(zip_derived_cl145, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X0) =>
25.41/3.85	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X0 @ Y0))))))))
25.41/3.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                       ((('#sk1' @ Y0) =>
25.41/3.85	                         ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('cannonize vars', [status(thm)], [zip_derived_cl144])).
25.41/3.85	thf(zip_derived_cl145, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X0) =>
25.41/3.85	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X0 @ Y0))))))))
25.41/3.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                       ((('#sk1' @ Y0) =>
25.41/3.85	                         ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('cannonize vars', [status(thm)], [zip_derived_cl144])).
25.41/3.85	thf(zip_derived_cl146, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                     ((('#sk1' @ Y0) =>
25.41/3.85	                       ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl151, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ('#form196')
25.41/3.85	        |  ((('#sk1' @ X0) =>
25.41/3.85	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X0 @ Y0)))))))))),
25.41/3.85	    inference('renaming', [status(thm)],
25.41/3.85	              [zip_derived_cl145, zip_derived_cl146])).
25.41/3.85	thf(zip_derived_cl168, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       (~ ('#sk1' @ X0)
25.41/3.85	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X0 @ Y0))))))
25.41/3.85	        |  ('#form196'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])).
25.41/3.85	thf(zip_derived_cl181, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk236' @ X0 @ '#sk51') & (X0 @ ('#sk236' @ X0))))
25.41/3.85	        |  ('#form196')
25.41/3.85	        | ~ ('#sk1' @ X0))),
25.41/3.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl168])).
25.41/3.85	thf(zip_derived_cl193, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ('#sk236' @ X0 @ '#sk51') | ~ ('#sk1' @ X0) |  ('#form196'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl181])).
25.41/3.85	thf(zip_derived_cl146, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                     ((('#sk1' @ Y0) =>
25.41/3.85	                       ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl147, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X2) =>
25.41/3.85	           ((('#sk183' @ X2 @ '#sk51') & (X2 @ ('#sk183' @ X2))))))
25.41/3.85	        | ~ ('#form196'))),
25.41/3.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl146])).
25.41/3.85	thf(zip_derived_cl169, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       (~ ('#sk1' @ X2)
25.41/3.85	        |  ((('#sk183' @ X2 @ '#sk51') & (X2 @ ('#sk183' @ X2))))
25.41/3.85	        | ~ ('#form196'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])).
25.41/3.85	thf(zip_derived_cl182, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( ('#sk183' @ X2 @ '#sk51') | ~ ('#form196') | ~ ('#sk1' @ X2))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
25.41/3.85	thf(zip_derived_cl182, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( ('#sk183' @ X2 @ '#sk51') | ~ ('#form196') | ~ ('#sk1' @ X2))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
25.41/3.85	thf(zip_derived_cl36, plain,
25.41/3.85	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                  ((('#sk1' @ Y0) =>
25.41/3.85	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
25.41/3.85	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                                  ((('#sk1' @ Y1) =>
25.41/3.85	                                    (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl35])).
25.41/3.85	thf(zip_derived_cl120, plain,
25.41/3.85	    (![X-288 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	              (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                          ((('#sk1' @ Y1) =>
25.41/3.85	                            (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))) @ 
25.41/3.85	           X-288)
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('exists_hoist', [status(thm)], [zip_derived_cl36])).
25.41/3.85	thf(zip_derived_cl135, plain,
25.41/3.85	    (![X-288 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((X-288 @ Y0 @ '#sk51') & (Y0 @ (X-288 @ Y0)))))))))
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl120])).
25.41/3.85	thf(zip_derived_cl136, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((X0 @ Y0 @ '#sk51') & (Y0 @ (X0 @ Y0)))))))))
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('cannonize vars', [status(thm)], [zip_derived_cl135])).
25.41/3.85	thf(zip_derived_cl137, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ((('#sk1' @ ('#sk191' @ X0)) =>
25.41/3.85	            (((X0 @ ('#sk191' @ X0) @ '#sk51') & ('#sk191' @ X0 @ 
25.41/3.85	              (X0 @ ('#sk191' @ X0)))))))
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])).
25.41/3.85	thf(zip_derived_cl152, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       ( ('#sk1' @ ('#sk191' @ X0))
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
25.41/3.85	thf(zip_derived_cl152, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       ( ('#sk1' @ ('#sk191' @ X0))
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
25.41/3.85	thf(zip_derived_cl170, plain,
25.41/3.85	    (( ('#form221')
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                    (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl172, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ('#form221') |  ('#sk1' @ ('#sk191' @ X0)))),
25.41/3.85	    inference('renaming', [status(thm)],
25.41/3.85	              [zip_derived_cl152, zip_derived_cl170])).
25.41/3.85	thf(zip_derived_cl183, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( (X2 @ ('#sk183' @ X2)) | ~ ('#form196') | ~ ('#sk1' @ X2))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
25.41/3.85	thf(zip_derived_cl359, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ('#form221')
25.41/3.85	        | ~ ('#form196')
25.41/3.85	        |  ('#sk191' @ X0 @ ('#sk183' @ ('#sk191' @ X0))))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl183])).
25.41/3.85	thf(zip_derived_cl170, plain,
25.41/3.85	    (( ('#form221')
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                    (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl171, plain,
25.41/3.85	    ((~ ((('#sk1' @ '#sk184') =>
25.41/3.85	          (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))))
25.41/3.85	      |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl170])).
25.41/3.85	thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl183, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( (X2 @ ('#sk183' @ X2)) | ~ ('#form196') | ~ ('#sk1' @ X2))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
25.41/3.85	thf(zip_derived_cl360, plain,
25.41/3.85	    (( ('#form221') | ~ ('#form196') |  ('#sk184' @ ('#sk183' @ '#sk184')))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl183])).
25.41/3.85	thf(zip_derived_cl185, plain,
25.41/3.85	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))
25.41/3.85	      |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl195, plain,
25.41/3.85	    (![X2 : a > $o]: (~ (((X2 @ '#sk51') & ('#sk184' @ X2))) |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl185])).
25.41/3.85	thf(zip_derived_cl201, plain,
25.41/3.85	    (![X2 : a > $o]: (~ (X2 @ '#sk51') | ~ ('#sk184' @ X2) |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl195])).
25.41/3.85	thf(zip_derived_cl469, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  ('#form221')
25.41/3.85	      |  ('#form221')
25.41/3.85	      | ~ ('#sk183' @ '#sk184' @ '#sk51'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl201])).
25.41/3.85	thf(zip_derived_cl472, plain,
25.41/3.85	    ((~ ('#sk183' @ '#sk184' @ '#sk51') |  ('#form221') | ~ ('#form196'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl469])).
25.41/3.85	thf(zip_derived_cl124, plain,
25.41/3.85	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                  ((('#sk1' @ Y0) =>
25.41/3.85	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
25.41/3.85	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl123])).
25.41/3.85	thf(zip_derived_cl134, plain,
25.41/3.85	    ((((^[Y0 : (a > $o) > $o]:
25.41/3.85	          ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
25.41/3.85	            (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                        (((Y1 @ '#sk51') & (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))))))))) @ 
25.41/3.85	       '#sk184')
25.41/3.85	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('quantifier_rw', [status(thm)], [zip_derived_cl124])).
25.41/3.85	thf(zip_derived_cl138, plain,
25.41/3.85	    ((((('#sk1' @ '#sk184') =>
25.41/3.85	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))))
25.41/3.85	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl134])).
25.41/3.85	thf(zip_derived_cl139, plain,
25.41/3.85	    (![X-307 : (a > $o) > $o]:
25.41/3.85	       ( ((^[Y0 : (a > $o) > $o]:
25.41/3.85	             ((('#sk1' @ Y0) =>
25.41/3.85	               ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))) @ 
25.41/3.85	          X-307)
25.41/3.85	        |  ((('#sk1' @ '#sk184') =>
25.41/3.85	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0)))))))))),
25.41/3.85	    inference('forall_hoist', [status(thm)], [zip_derived_cl138])).
25.41/3.85	thf(zip_derived_cl163, plain,
25.41/3.85	    (![X-307 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X-307) =>
25.41/3.85	           ((('#sk183' @ X-307 @ '#sk51') & (X-307 @ ('#sk183' @ X-307))))))
25.41/3.85	        |  ((('#sk1' @ '#sk184') =>
25.41/3.85	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0)))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl139])).
25.41/3.85	thf(zip_derived_cl164, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X0) =>
25.41/3.85	           ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0))))))
25.41/3.85	        |  ((('#sk1' @ '#sk184') =>
25.41/3.85	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0)))))))))),
25.41/3.85	    inference('cannonize vars', [status(thm)], [zip_derived_cl163])).
25.41/3.85	thf(zip_derived_cl164, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ((('#sk1' @ X0) =>
25.41/3.85	           ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0))))))
25.41/3.85	        |  ((('#sk1' @ '#sk184') =>
25.41/3.85	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0)))))))))),
25.41/3.85	    inference('cannonize vars', [status(thm)], [zip_derived_cl163])).
25.41/3.85	thf(zip_derived_cl165, plain,
25.41/3.85	    ((~ ('#form213')
25.41/3.85	      |  ((('#sk1' @ '#sk184') =>
25.41/3.85	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0)))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl167, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ('#form213')
25.41/3.85	        |  ((('#sk1' @ X0) =>
25.41/3.85	             ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0)))))))),
25.41/3.85	    inference('renaming', [status(thm)],
25.41/3.85	              [zip_derived_cl164, zip_derived_cl165])).
25.41/3.85	thf(zip_derived_cl179, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       (~ ('#sk1' @ X0)
25.41/3.85	        |  ((('#sk183' @ X0 @ '#sk51') & (X0 @ ('#sk183' @ X0))))
25.41/3.85	        |  ('#form213'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl167])).
25.41/3.85	thf(zip_derived_cl189, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ('#sk183' @ X0 @ '#sk51') |  ('#form213') | ~ ('#sk1' @ X0))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])).
25.41/3.85	thf(zip_derived_cl475, plain,
25.41/3.85	    ((~ ('#form196') |  ('#form221') | ~ ('#sk1' @ '#sk184') |  ('#form213'))),
25.41/3.85	    inference('sup+', [status(thm)], [zip_derived_cl472, zip_derived_cl189])).
25.41/3.85	thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl493, plain,
25.41/3.85	    (( ('#form213') |  ('#form221') | ~ ('#form196'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl475, zip_derived_cl184])).
25.41/3.85	thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl165, plain,
25.41/3.85	    ((~ ('#form213')
25.41/3.85	      |  ((('#sk1' @ '#sk184') =>
25.41/3.85	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0)))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl166, plain,
25.41/3.85	    ((~ ('#sk1' @ '#sk184')
25.41/3.85	      |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))
25.41/3.85	      | ~ ('#form213'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl165])).
25.41/3.85	thf(zip_derived_cl180, plain,
25.41/3.85	    (( ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))
25.41/3.85	      | ~ ('#form213')
25.41/3.85	      | ~ ('#sk1' @ '#sk184'))),
25.41/3.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl166])).
25.41/3.85	thf(zip_derived_cl192, plain,
25.41/3.85	    (( ('#sk184' @ '#sk206') | ~ ('#sk1' @ '#sk184') | ~ ('#form213'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl180])).
25.41/3.85	thf(zip_derived_cl216, plain,
25.41/3.85	    (( ('#form221') | ~ ('#form213') |  ('#sk184' @ '#sk206'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl192])).
25.41/3.85	thf(zip_derived_cl195, plain,
25.41/3.85	    (![X2 : a > $o]: (~ (((X2 @ '#sk51') & ('#sk184' @ X2))) |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl185])).
25.41/3.85	thf(zip_derived_cl196, plain,
25.41/3.85	    ((~ ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206'))) |  ('#form221'))),
25.41/3.85	    inference('triggered_bool_instantiation', [status(thm)],
25.41/3.85	              [zip_derived_cl195])).
25.41/3.85	thf(zip_derived_cl280, plain,
25.41/3.85	    ((~ ('#sk206' @ '#sk51') | ~ ('#sk184' @ '#sk206') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl196])).
25.41/3.85	thf(zip_derived_cl281, plain,
25.41/3.85	    ((~ ('#form213') |  ('#form221') |  ('#form221') | ~ ('#sk206' @ '#sk51'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl280])).
25.41/3.85	thf(zip_derived_cl284, plain,
25.41/3.85	    ((~ ('#sk206' @ '#sk51') |  ('#form221') | ~ ('#form213'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl281])).
25.41/3.85	thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl191, plain,
25.41/3.85	    (( ('#sk206' @ '#sk51') | ~ ('#sk1' @ '#sk184') | ~ ('#form213'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl180])).
25.41/3.85	thf(zip_derived_cl210, plain,
25.41/3.85	    (( ('#form221') | ~ ('#form213') |  ('#sk206' @ '#sk51'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl191])).
25.41/3.85	thf(zip_derived_cl285, plain, ((~ ('#form213') |  ('#form221'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl210])).
25.41/3.85	thf(zip_derived_cl494, plain, ((~ ('#form196') |  ('#form221'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl493, zip_derived_cl285])).
25.41/3.85	thf(zip_derived_cl505, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       ( ('#sk191' @ X0 @ ('#sk183' @ ('#sk191' @ X0))) | ~ ('#form196'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl359, zip_derived_cl494])).
25.41/3.85	thf(zip_derived_cl138, plain,
25.41/3.85	    ((((('#sk1' @ '#sk184') =>
25.41/3.85	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))))
25.41/3.85	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl134])).
25.41/3.85	thf(zip_derived_cl143, plain,
25.41/3.85	    ((((('#sk1' @ '#sk184') =>
25.41/3.85	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))))
25.41/3.85	       != ((^[Y0 : (a > $o) > $o]:
25.41/3.85	              ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
25.41/3.85	                ((('#sk183' @ 
25.41/3.85	                  (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2)))) @ 
25.41/3.85	                  '#sk51') & (Y0 @ 
25.41/3.85	                  (^[Y1 : a]:
25.41/3.85	                     ('#sk183' @ 
25.41/3.85	                      (^[Y2 : a > $o]: (Y0 @ (^[Y3 : a]: (Y2 @ Y3)))) @ Y1)))))))) @ 
25.41/3.85	           ('#sk191' @ '#sk183')))),
25.41/3.85	    inference('quantifier_rw', [status(thm)], [zip_derived_cl138])).
25.41/3.85	thf(zip_derived_cl154, plain,
25.41/3.85	    ((((('#sk1' @ '#sk184') =>
25.41/3.85	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))))
25.41/3.85	       != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
25.41/3.85	            ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ('#sk191' @ 
25.41/3.85	              '#sk183' @ ('#sk183' @ ('#sk191' @ '#sk183'))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl143])).
25.41/3.85	thf(zip_derived_cl162, plain,
25.41/3.85	    ((((('#sk1' @ '#sk184') =>
25.41/3.85	        ((^[Y0 : a > $o]:
25.41/3.85	            (((Y0 @ '#sk51') & ('#sk184' @ (^[Y1 : a]: (Y0 @ Y1)))))) @ 
25.41/3.85	        '#sk206')))
25.41/3.85	       != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
25.41/3.85	            ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ('#sk191' @ 
25.41/3.85	              '#sk183' @ ('#sk183' @ ('#sk191' @ '#sk183'))))))))),
25.41/3.85	    inference('quantifier_rw', [status(thm)], [zip_derived_cl154])).
25.41/3.85	thf(zip_derived_cl174, plain,
25.41/3.85	    ((((('#sk1' @ '#sk184') =>
25.41/3.85	        ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))))
25.41/3.85	       != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
25.41/3.85	            ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ('#sk191' @ 
25.41/3.85	              '#sk183' @ ('#sk183' @ ('#sk191' @ '#sk183'))))))))),
25.41/3.85	    inference('ho_norm', [status(thm)], [zip_derived_cl162])).
25.41/3.85	thf(zip_derived_cl506, plain,
25.41/3.85	    (((((('#sk1' @ '#sk184') =>
25.41/3.85	         ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))))
25.41/3.85	        != ((('#sk1' @ ('#sk191' @ '#sk183')) =>
25.41/3.85	             ((('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51') & ($true))))))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl174])).
25.41/3.85	thf(zip_derived_cl507, plain,
25.41/3.85	    (((((('#sk1' @ '#sk184') =>
25.41/3.85	         ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))))
25.41/3.85	        != ((('#sk1' @ ('#sk191' @ '#sk183')) => ('#sk183' @ 
25.41/3.85	             ('#sk191' @ '#sk183') @ '#sk51'))))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl506])).
25.41/3.85	thf(zip_derived_cl172, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ('#form221') |  ('#sk1' @ ('#sk191' @ X0)))),
25.41/3.85	    inference('renaming', [status(thm)],
25.41/3.85	              [zip_derived_cl152, zip_derived_cl170])).
25.41/3.85	thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl190, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( (X0 @ ('#sk183' @ X0)) |  ('#form213') | ~ ('#sk1' @ X0))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])).
25.41/3.85	thf(zip_derived_cl544, plain,
25.41/3.85	    (( ('#form221') |  ('#form213') |  ('#sk184' @ ('#sk183' @ '#sk184')))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl190])).
25.41/3.85	thf(zip_derived_cl285, plain, ((~ ('#form213') |  ('#form221'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl210])).
25.41/3.85	thf(zip_derived_cl548, plain,
25.41/3.85	    (( ('#sk184' @ ('#sk183' @ '#sk184')) |  ('#form221'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl544, zip_derived_cl285])).
25.41/3.85	thf(zip_derived_cl201, plain,
25.41/3.85	    (![X2 : a > $o]: (~ (X2 @ '#sk51') | ~ ('#sk184' @ X2) |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl195])).
25.41/3.85	thf(zip_derived_cl549, plain,
25.41/3.85	    (( ('#form221') |  ('#form221') | ~ ('#sk183' @ '#sk184' @ '#sk51'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl201])).
25.41/3.85	thf(zip_derived_cl551, plain,
25.41/3.85	    ((~ ('#sk183' @ '#sk184' @ '#sk51') |  ('#form221'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl549])).
25.41/3.85	thf(zip_derived_cl189, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( ('#sk183' @ X0 @ '#sk51') |  ('#form213') | ~ ('#sk1' @ X0))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])).
25.41/3.85	thf(zip_derived_cl552, plain,
25.41/3.85	    (( ('#form221') | ~ ('#sk1' @ '#sk184') |  ('#form213'))),
25.41/3.85	    inference('sup+', [status(thm)], [zip_derived_cl551, zip_derived_cl189])).
25.41/3.85	thf(zip_derived_cl184, plain, (( ('#sk1' @ '#sk184') |  ('#form221'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl171])).
25.41/3.85	thf(zip_derived_cl564, plain, (( ('#form213') |  ('#form221'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl552, zip_derived_cl184])).
25.41/3.85	thf(zip_derived_cl285, plain, ((~ ('#form213') |  ('#form221'))),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl210])).
25.41/3.85	thf(zip_derived_cl565, plain, ( ('#form221')),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl564, zip_derived_cl285])).
25.41/3.85	thf(zip_derived_cl566, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk1' @ ('#sk191' @ X0))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
25.41/3.85	thf(zip_derived_cl708, plain,
25.41/3.85	    (((((('#sk1' @ '#sk184') =>
25.41/3.85	         ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))))
25.41/3.85	        != ((($true) => ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl507, zip_derived_cl566])).
25.41/3.85	thf(zip_derived_cl709, plain,
25.41/3.85	    (((((('#sk1' @ '#sk184') =>
25.41/3.85	         ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))))
25.41/3.85	        != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl708])).
25.41/3.85	thf(zip_derived_cl719, plain,
25.41/3.85	    (( ('#sk184' @ '#sk206')
25.41/3.85	      | (((('#sk1' @ '#sk184') => ((('#sk206' @ '#sk51') & ($false)))))
25.41/3.85	          != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('bool_hoist', [status(thm)], [zip_derived_cl709])).
25.41/3.85	thf(zip_derived_cl720, plain,
25.41/3.85	    (( ('#sk184' @ '#sk206')
25.41/3.85	      | ((((~) @ ('#sk1' @ '#sk184')))
25.41/3.85	          != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl719])).
25.41/3.85	thf(zip_derived_cl721, plain,
25.41/3.85	    (( ('#sk184' @ '#sk206')
25.41/3.85	      | (('#sk1' @ '#sk184') = ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('simplify nested equalities', [status(thm)],
25.41/3.85	              [zip_derived_cl720])).
25.41/3.85	thf(zip_derived_cl182, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( ('#sk183' @ X2 @ '#sk51') | ~ ('#form196') | ~ ('#sk1' @ X2))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
25.41/3.85	thf(zip_derived_cl741, plain,
25.41/3.85	    (( ('#sk1' @ '#sk184')
25.41/3.85	      | ~ ('#form196')
25.41/3.85	      |  ('#sk184' @ '#sk206')
25.41/3.85	      | ~ ('#sk1' @ ('#sk191' @ '#sk183'))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('sup+', [status(thm)], [zip_derived_cl721, zip_derived_cl182])).
25.41/3.85	thf(zip_derived_cl566, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk1' @ ('#sk191' @ X0))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
25.41/3.85	thf(zip_derived_cl752, plain,
25.41/3.85	    (( ('#sk1' @ '#sk184')
25.41/3.85	      | ~ ('#form196')
25.41/3.85	      |  ('#sk184' @ '#sk206')
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl741, zip_derived_cl566])).
25.41/3.85	thf(zip_derived_cl753, plain,
25.41/3.85	    (( ('#sk184' @ '#sk206') | ~ ('#form196') |  ('#sk1' @ '#sk184'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl752])).
25.41/3.85	thf(zip_derived_cl709, plain,
25.41/3.85	    (((((('#sk1' @ '#sk184') =>
25.41/3.85	         ((('#sk206' @ '#sk51') & ('#sk184' @ '#sk206')))))
25.41/3.85	        != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl708])).
25.41/3.85	thf(zip_derived_cl768, plain,
25.41/3.85	    (((((('#sk1' @ '#sk184') => ((('#sk206' @ '#sk51') & ($true)))))
25.41/3.85	        != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))
25.41/3.85	      |  ('#sk1' @ '#sk184')
25.41/3.85	      | ~ ('#form196')
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl753, zip_derived_cl709])).
25.41/3.85	thf(zip_derived_cl786, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  ('#sk1' @ '#sk184')
25.41/3.85	      | (((('#sk1' @ '#sk184') => ((('#sk206' @ '#sk51') & ($true)))))
25.41/3.85	          != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51')))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl768])).
25.41/3.85	thf(zip_derived_cl787, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  ('#sk1' @ '#sk184')
25.41/3.85	      | (((('#sk1' @ '#sk184') => ('#sk206' @ '#sk51')))
25.41/3.85	          != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51')))),
25.41/3.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl786])).
25.41/3.85	thf(zip_derived_cl788, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  ('#sk1' @ '#sk184')
25.41/3.85	      | (((($false) => ('#sk206' @ '#sk51')))
25.41/3.85	          != ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51')))),
25.41/3.85	    inference('local_rewriting', [status(thm)], [zip_derived_cl787])).
25.41/3.85	thf(zip_derived_cl789, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  ('#sk1' @ '#sk184')
25.41/3.85	      | ~ ('#sk183' @ ('#sk191' @ '#sk183') @ '#sk51'))),
25.41/3.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl788])).
25.41/3.85	thf(zip_derived_cl857, plain,
25.41/3.85	    ((~ ('#sk1' @ ('#sk191' @ '#sk183'))
25.41/3.85	      | ~ ('#form196')
25.41/3.85	      |  ('#sk1' @ '#sk184')
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl789])).
25.41/3.85	thf(zip_derived_cl566, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk1' @ ('#sk191' @ X0))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
25.41/3.85	thf(zip_derived_cl868, plain,
25.41/3.85	    ((~ ('#form196') |  ('#sk1' @ '#sk184') | ~ ('#form196'))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl857, zip_derived_cl566])).
25.41/3.85	thf(zip_derived_cl869, plain, (( ('#sk1' @ '#sk184') | ~ ('#form196'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl868])).
25.41/3.85	thf(zip_derived_cl183, plain,
25.41/3.85	    (![X2 : (a > $o) > $o]:
25.41/3.85	       ( (X2 @ ('#sk183' @ X2)) | ~ ('#form196') | ~ ('#sk1' @ X2))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
25.41/3.85	thf(zip_derived_cl888, plain,
25.41/3.85	    ((~ ('#form196') | ~ ('#form196') |  ('#sk184' @ ('#sk183' @ '#sk184')))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl869, zip_derived_cl183])).
25.41/3.85	thf(zip_derived_cl898, plain,
25.41/3.85	    (( ('#sk184' @ ('#sk183' @ '#sk184')) | ~ ('#form196'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl888])).
25.41/3.85	thf(zip_derived_cl120, plain,
25.41/3.85	    (![X-288 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	              (((!!) @ (^[Y1 : (a > $o) > $o]:
25.41/3.85	                          ((('#sk1' @ Y1) =>
25.41/3.85	                            (((Y0 @ Y1 @ '#sk51') & (Y1 @ (Y0 @ Y1)))))))))) @ 
25.41/3.85	           X-288)
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('exists_hoist', [status(thm)], [zip_derived_cl36])).
25.41/3.85	thf(zip_derived_cl122, plain,
25.41/3.85	    ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                    ((('#sk1' @ Y0) =>
25.41/3.85	                      ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0)))))))))
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                    (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('triggered_bool_instantiation', [status(thm)],
25.41/3.85	              [zip_derived_cl120])).
25.41/3.85	thf(zip_derived_cl122, plain,
25.41/3.85	    ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                    ((('#sk1' @ Y0) =>
25.41/3.85	                      ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0)))))))))
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                    (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('triggered_bool_instantiation', [status(thm)],
25.41/3.85	              [zip_derived_cl120])).
25.41/3.85	thf(zip_derived_cl1621, plain,
25.41/3.85	    (( ('#form196')
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl146, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                     ((('#sk1' @ Y0) =>
25.41/3.85	                       ((('#sk183' @ Y0 @ '#sk51') & (Y0 @ ('#sk183' @ Y0))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl1623, plain,
25.41/3.85	    ((~ ('#form196')
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                    (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('renaming', [status(thm)],
25.41/3.85	              [zip_derived_cl122, zip_derived_cl1621, zip_derived_cl146])).
25.41/3.85	thf(zip_derived_cl1624, plain,
25.41/3.85	    ((~ ((('#sk1' @ '#sk184') =>
25.41/3.85	          (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1623])).
25.41/3.85	thf(zip_derived_cl1629, plain,
25.41/3.85	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk184' @ Y0))))))
25.41/3.85	      | ~ ('#form196'))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1624])).
25.41/3.85	thf(zip_derived_cl1630, plain,
25.41/3.85	    (![X2 : a > $o]:
25.41/3.85	       (~ (((X2 @ '#sk51') & ('#sk184' @ X2))) | ~ ('#form196'))),
25.41/3.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1629])).
25.41/3.85	thf(zip_derived_cl1638, plain,
25.41/3.85	    (![X2 : a > $o]: (~ (X2 @ '#sk51') | ~ ('#sk184' @ X2) | ~ ('#form196'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1630])).
25.41/3.85	thf(zip_derived_cl1726, plain,
25.41/3.85	    ((~ ('#form196') | ~ ('#form196') | ~ ('#sk183' @ '#sk184' @ '#sk51'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl1638])).
25.41/3.85	thf(zip_derived_cl1736, plain,
25.41/3.85	    ((~ ('#sk183' @ '#sk184' @ '#sk51') | ~ ('#form196'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl1726])).
25.41/3.85	thf(zip_derived_cl1750, plain,
25.41/3.85	    ((~ ('#sk1' @ '#sk184') | ~ ('#form196') | ~ ('#form196'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl1736])).
25.41/3.85	thf(zip_derived_cl1754, plain, ((~ ('#form196') | ~ ('#sk1' @ '#sk184'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl1750])).
25.41/3.85	thf(zip_derived_cl869, plain, (( ('#sk1' @ '#sk184') | ~ ('#form196'))),
25.41/3.85	    inference('simplify', [status(thm)], [zip_derived_cl868])).
25.41/3.85	thf(zip_derived_cl1768, plain, (~ ('#form196')),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl1754, zip_derived_cl869])).
25.41/3.85	thf(zip_derived_cl1769, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]: ( ('#sk236' @ X0 @ '#sk51') | ~ ('#sk1' @ X0))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl1768])).
25.41/3.85	thf(zip_derived_cl566, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk1' @ ('#sk191' @ X0))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
25.41/3.85	thf(zip_derived_cl194, plain,
25.41/3.85	    (![X0 : (a > $o) > $o]:
25.41/3.85	       ( (X0 @ ('#sk236' @ X0)) | ~ ('#sk1' @ X0) |  ('#form196'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl181])).
25.41/3.85	thf(zip_derived_cl597, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       ( ('#form196') |  ('#sk191' @ X0 @ ('#sk236' @ ('#sk191' @ X0))))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl566, zip_derived_cl194])).
25.41/3.85	thf(zip_derived_cl1768, plain, (~ ('#form196')),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl1754, zip_derived_cl869])).
25.41/3.85	thf(zip_derived_cl1771, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	        ('#sk191' @ X0 @ ('#sk236' @ ('#sk191' @ X0)))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl597, zip_derived_cl1768])).
25.41/3.85	thf(zip_derived_cl153, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ (((X0 @ ('#sk191' @ X0) @ '#sk51') & ('#sk191' @ X0 @ 
25.41/3.85	            (X0 @ ('#sk191' @ X0)))))
25.41/3.85	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                        ((('#sk1' @ Y0) =>
25.41/3.85	                          (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])).
25.41/3.85	thf(zip_derived_cl170, plain,
25.41/3.85	    (( ('#form221')
25.41/3.85	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
25.41/3.85	                      ((('#sk1' @ Y0) =>
25.41/3.85	                        (((??) @ (^[Y1 : a > $o]:
25.41/3.85	                                    (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
25.41/3.85	    define([status(thm)])).
25.41/3.85	thf(zip_derived_cl173, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ ('#form221')
25.41/3.85	        | ~ (((X0 @ ('#sk191' @ X0) @ '#sk51') & ('#sk191' @ X0 @ 
25.41/3.85	              (X0 @ ('#sk191' @ X0))))))),
25.41/3.85	    inference('renaming', [status(thm)],
25.41/3.85	              [zip_derived_cl153, zip_derived_cl170])).
25.41/3.85	thf(zip_derived_cl186, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ (X0 @ ('#sk191' @ X0) @ '#sk51')
25.41/3.85	        | ~ ('#sk191' @ X0 @ (X0 @ ('#sk191' @ X0)))
25.41/3.85	        | ~ ('#form221'))),
25.41/3.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl173])).
25.41/3.85	thf(zip_derived_cl565, plain, ( ('#form221')),
25.41/3.85	    inference('clc', [status(thm)], [zip_derived_cl564, zip_derived_cl285])).
25.41/3.85	thf(zip_derived_cl2163, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:
25.41/3.85	       (~ (X0 @ ('#sk191' @ X0) @ '#sk51')
25.41/3.85	        | ~ ('#sk191' @ X0 @ (X0 @ ('#sk191' @ X0))))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl186, zip_derived_cl565])).
25.41/3.85	thf(zip_derived_cl2164, plain,
25.41/3.85	    (~ ('#sk236' @ ('#sk191' @ '#sk236') @ '#sk51')),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl1771, zip_derived_cl2163])).
25.41/3.85	thf(zip_derived_cl2175, plain, (~ ('#sk1' @ ('#sk191' @ '#sk236'))),
25.41/3.85	    inference('sup-', [status(thm)], [zip_derived_cl1769, zip_derived_cl2164])).
25.41/3.85	thf(zip_derived_cl566, plain,
25.41/3.85	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk1' @ ('#sk191' @ X0))),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl565])).
25.41/3.85	thf(zip_derived_cl2176, plain, ($false),
25.41/3.85	    inference('demod', [status(thm)], [zip_derived_cl2175, zip_derived_cl566])).
25.41/3.85	
25.41/3.85	% SZS output end Refutation
25.41/3.85	
25.41/3.85	
25.41/3.85	% Terminating...
26.50/4.03	% Runner terminated.
26.50/4.03	% Zipperpin 1.5 exiting
26.50/4.03	EOF