0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Uubb1bTGF true
0.13/0.34	% Computer : n013.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 1440
0.13/0.34	% WCLimit  : 180
0.13/0.34	% DateTime : Thu Jul  4 09:21:24 EDT 2024
0.13/0.34	% CPUTime  : 
0.13/0.34	% Running portfolio for 1440 s
0.13/0.34	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.53/0.67	% Total configuration time : 828
0.53/0.67	% Estimated wc time : 1656
0.53/0.67	% Estimated cpu time (8 cpus) : 207.0
0.53/0.70	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.53/0.70	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.53/0.73	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.53/0.74	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
15.26/2.51	% Solved by lams/35_full_unif4.sh.
15.26/2.51	% done 305 iterations in 1.764s
15.26/2.51	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
15.26/2.51	% SZS output start Refutation
15.26/2.51	thf(a_type, type, a: $tType).
15.26/2.51	thf('#sk88_type', type, '#sk88': ((a > $o) > $o) > a > $o).
15.26/2.51	thf('#sk2_type', type, '#sk2': ((a > $o) > $o) > $o).
15.26/2.51	thf('#form72_type', type, '#form72': $o).
15.26/2.51	thf('#form85_type', type, '#form85': $o).
15.26/2.51	thf('#sk46_type', type, '#sk46': (((a > $o) > $o) > a > $o) > (a > $o) > $o).
15.26/2.51	thf('#form69_type', type, '#form69': $o).
15.26/2.51	thf('#sk39_type', type, '#sk39': (a > $o) > $o).
15.26/2.51	thf('#sk38_type', type, '#sk38': ((a > $o) > $o) > a > $o).
15.26/2.51	thf('#sk60_type', type, '#sk60': a > $o).
15.26/2.51	thf('#sk17_type', type, '#sk17': a).
15.26/2.51	thf(cTHM535B, conjecture,
15.26/2.51	  (( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
15.26/2.51	     ( ![X:( ( a > $o ) > $o )]:
15.26/2.51	       ( ( ?[Xt:( a > $o )]: ( X @ Xt ) ) => ( X @ ( Xf @ X ) ) ) ) ) =>
15.26/2.51	   ( ![A:( ( ( a > $o ) > $o ) > $o )]:
15.26/2.51	     ( ( ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) & 
15.26/2.51	         ( ![X:( ( a > $o ) > $o )]:
15.26/2.51	           ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) ) =>
15.26/2.51	       ( ( ^[Xx:a]:
15.26/2.51	           ( ![Xa:( ( a > $o ) > $o )]:
15.26/2.51	             ( ( A @ Xa ) =>
15.26/2.51	               ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
15.26/2.51	         ( ^[Xx:a]:
15.26/2.51	           ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
15.26/2.51	             ( ![Xa:( ( a > $o ) > $o )]:
15.26/2.51	               ( ( A @ Xa ) => ( ( Xa @ ( Xf @ Xa ) ) & ( Xf @ Xa @ Xx ) ) ) ) ) ) ) ) ))).
15.26/2.51	thf(zf_stmt_0, negated_conjecture,
15.26/2.51	  (~( ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
15.26/2.51	        ( ![X:( ( a > $o ) > $o )]:
15.26/2.51	          ( ( ?[Xt:( a > $o )]: ( X @ Xt ) ) => ( X @ ( Xf @ X ) ) ) ) ) =>
15.26/2.51	      ( ![A:( ( ( a > $o ) > $o ) > $o )]:
15.26/2.51	        ( ( ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) & 
15.26/2.51	            ( ![X:( ( a > $o ) > $o )]:
15.26/2.51	              ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) ) =>
15.26/2.51	          ( ( ^[Xx:a]:
15.26/2.51	              ( ![Xa:( ( a > $o ) > $o )]:
15.26/2.51	                ( ( A @ Xa ) =>
15.26/2.51	                  ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
15.26/2.51	            ( ^[Xx:a]:
15.26/2.51	              ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
15.26/2.51	                ( ![Xa:( ( a > $o ) > $o )]:
15.26/2.51	                  ( ( A @ Xa ) => ( ( Xa @ ( Xf @ Xa ) ) & ( Xf @ Xa @ Xx ) ) ) ) ) ) ) ) ) )),
15.26/2.51	  inference('cnf.neg', [status(esa)], [cTHM535B])).
15.26/2.51	thf(zip_derived_cl0, plain,
15.26/2.51	    (~ (((((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                     (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                                 (((((??) @ (^[Y2 : a > $o]: (Y1 @ Y2)))) =>
15.26/2.51	                                   (Y1 @ (Y0 @ Y1)))))))))) =>
15.26/2.51	         (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
15.26/2.51	                     (((((((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))) &
15.26/2.51	                         (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                                     (((Y0 @ Y1) =>
15.26/2.51	                                       (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))))) =>
15.26/2.51	                       ((((^[Y1 : a]:
15.26/2.51	                             (((!!) @ (^[Y2 : (a > $o) > $o]:
15.26/2.51	                                         (((Y0 @ Y2) =>
15.26/2.51	                                           (((??) @ (^[Y3 : a > $o]:
15.26/2.51	                                                       (((Y3 @ Y1) & (Y2 @ 
15.26/2.51	                                                         Y3))))))))))))) =
15.26/2.51	                         ((^[Y1 : a]:
15.26/2.51	                             (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                                         (((!!) @ (^[Y3 : (a > $o) > $o]:
15.26/2.51	                                                     (((Y0 @ Y3) =>
15.26/2.51	                                                       (((Y3 @ (Y2 @ Y3)) &
15.26/2.51	                                                         (Y2 @ Y3 @ Y1))))))))))))))))))))))),
15.26/2.51	    inference('cnf', [status(esa)], [zf_stmt_0])).
15.26/2.51	thf(zip_derived_cl2, plain,
15.26/2.51	    (~ (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
15.26/2.51	                   (((((((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))) &
15.26/2.51	                       (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                                   (((Y0 @ Y1) =>
15.26/2.51	                                     (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))))) =>
15.26/2.51	                     ((((^[Y1 : a]:
15.26/2.51	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
15.26/2.51	                                       (((Y0 @ Y2) =>
15.26/2.51	                                         (((??) @ (^[Y3 : a > $o]:
15.26/2.51	                                                     (((Y3 @ Y1) & (Y2 @ Y3))))))))))))) =
15.26/2.51	                       ((^[Y1 : a]:
15.26/2.51	                           (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                                       (((!!) @ (^[Y3 : (a > $o) > $o]:
15.26/2.51	                                                   (((Y0 @ Y3) =>
15.26/2.51	                                                     (((Y3 @ (Y2 @ Y3)) &
15.26/2.51	                                                       (Y2 @ Y3 @ Y1))))))))))))))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
15.26/2.51	thf(zip_derived_cl4, plain,
15.26/2.51	    (~ (((((((??) @ (^[Y0 : (a > $o) > $o]: ('#sk2' @ Y0)))) &
15.26/2.51	           (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((??) @ (^[Y1 : a > $o]: (Y0 @ Y1))))))))))) =>
15.26/2.51	         ((((^[Y0 : a]:
15.26/2.51	               (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                           ((('#sk2' @ Y1) =>
15.26/2.51	                             (((??) @ (^[Y2 : a > $o]:
15.26/2.51	                                         (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
15.26/2.51	           ((^[Y0 : a]:
15.26/2.51	               (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
15.26/2.51	                                       ((('#sk2' @ Y2) =>
15.26/2.51	                                         (((Y2 @ (Y1 @ Y2)) & (Y1 @ Y2 @ Y0)))))))))))))))))),
15.26/2.51	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
15.26/2.51	thf(zip_derived_cl7, plain,
15.26/2.51	    (~ ((((^[Y0 : a]:
15.26/2.51	             (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                         ((('#sk2' @ Y1) =>
15.26/2.51	                           (((??) @ (^[Y2 : a > $o]:
15.26/2.51	                                       (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
15.26/2.51	         ((^[Y0 : a]:
15.26/2.51	             (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                         (((!!) @ (^[Y2 : (a > $o) > $o]:
15.26/2.51	                                     ((('#sk2' @ Y2) =>
15.26/2.51	                                       (((Y2 @ (Y1 @ Y2)) & (Y1 @ Y2 @ Y0)))))))))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
15.26/2.51	thf(zip_derived_cl11, plain,
15.26/2.51	    ((((^[Y0 : a]:
15.26/2.51	          (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y1) =>
15.26/2.51	                        (((??) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (Y1 @ Y2)))))))))))))
15.26/2.51	       != ((^[Y0 : a]:
15.26/2.51	              (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                          (((!!) @ (^[Y2 : (a > $o) > $o]:
15.26/2.51	                                      ((('#sk2' @ Y2) =>
15.26/2.51	                                        (((Y2 @ (Y1 @ Y2)) & (Y1 @ Y2 @ Y0))))))))))))))),
15.26/2.51	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
15.26/2.51	thf(zip_derived_cl22, plain,
15.26/2.51	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                  ((('#sk2' @ 
15.26/2.51	                    (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
15.26/2.51	                    (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                (((Y1 @ '#sk17') & (Y0 @ 
15.26/2.51	                                  (^[Y2 : a]: (Y1 @ Y2)))))))))))))
15.26/2.51	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                                  ((('#sk2' @ 
15.26/2.51	                                    (^[Y2 : a > $o]:
15.26/2.51	                                       (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
15.26/2.51	                                    (((Y1 @ 
15.26/2.51	                                      (^[Y2 : a]:
15.26/2.51	                                         (Y0 @ 
15.26/2.51	                                          (^[Y3 : a > $o]:
15.26/2.51	                                             (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
15.26/2.51	                                          Y2))) &
15.26/2.51	                                      (Y0 @ 
15.26/2.51	                                      (^[Y2 : a > $o]:
15.26/2.51	                                         (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
15.26/2.51	                                      '#sk17'))))))))))))),
15.26/2.51	    inference('neg_ext', [status(thm)], [zip_derived_cl11])).
15.26/2.51	thf(zip_derived_cl23, plain,
15.26/2.51	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                  ((('#sk2' @ Y0) =>
15.26/2.51	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
15.26/2.51	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                                  ((('#sk2' @ Y1) =>
15.26/2.51	                                    (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk17'))))))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl22])).
15.26/2.51	thf(zip_derived_cl52, plain,
15.26/2.51	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                  ((('#sk2' @ Y0) =>
15.26/2.51	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
15.26/2.51	       != ((^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	              (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                          ((('#sk2' @ 
15.26/2.51	                            (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
15.26/2.51	                            (((Y1 @ 
15.26/2.51	                              (^[Y2 : a]:
15.26/2.51	                                 (Y0 @ 
15.26/2.51	                                  (^[Y3 : a > $o]:
15.26/2.51	                                     (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
15.26/2.51	                                  Y2))) &
15.26/2.51	                              (Y0 @ 
15.26/2.51	                              (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
15.26/2.51	                              '#sk17'))))))))) @ 
15.26/2.51	           '#sk38'))),
15.26/2.51	    inference('quantifier_rw', [status(thm)], [zip_derived_cl23])).
15.26/2.51	thf(zip_derived_cl53, plain,
15.26/2.51	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                  ((('#sk2' @ Y0) =>
15.26/2.51	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
15.26/2.51	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl52])).
15.26/2.51	thf(zip_derived_cl54, plain,
15.26/2.51	    (![X-83 : (a > $o) > $o]:
15.26/2.51	       ( ((^[Y0 : (a > $o) > $o]:
15.26/2.51	             ((('#sk2' @ Y0) =>
15.26/2.51	               (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1))))))))) @ 
15.26/2.51	          X-83)
15.26/2.51	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('forall_hoist', [status(thm)], [zip_derived_cl53])).
15.26/2.51	thf(zip_derived_cl68, plain,
15.26/2.51	    (![X-83 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk2' @ X-83) =>
15.26/2.51	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X-83 @ Y0))))))))
15.26/2.51	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl54])).
15.26/2.51	thf(zip_derived_cl69, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk2' @ X0) =>
15.26/2.51	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))))
15.26/2.51	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('cannonize vars', [status(thm)], [zip_derived_cl68])).
15.26/2.51	thf(zip_derived_cl70, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       (~ ('#sk2' @ X0)
15.26/2.51	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))
15.26/2.51	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
15.26/2.51	thf(zip_derived_cl70, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       (~ ('#sk2' @ X0)
15.26/2.51	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))
15.26/2.51	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
15.26/2.51	thf(zip_derived_cl85, plain,
15.26/2.51	    ((~ ('#form69')
15.26/2.51	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                     ((('#sk2' @ Y0) =>
15.26/2.51	                       (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl89, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ('#form69')
15.26/2.51	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))
15.26/2.51	        | ~ ('#sk2' @ X0))),
15.26/2.51	    inference('renaming', [status(thm)], [zip_derived_cl70, zip_derived_cl85])).
15.26/2.51	thf(zip_derived_cl102, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk88' @ X0 @ '#sk17') & (X0 @ ('#sk88' @ X0))))
15.26/2.51	        | ~ ('#sk2' @ X0)
15.26/2.51	        |  ('#form69'))),
15.26/2.51	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl89])).
15.26/2.51	thf(zip_derived_cl112, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ('#sk88' @ X0 @ '#sk17') |  ('#form69') | ~ ('#sk2' @ X0))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])).
15.26/2.51	thf(zip_derived_cl85, plain,
15.26/2.51	    ((~ ('#form69')
15.26/2.51	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                     ((('#sk2' @ Y0) =>
15.26/2.51	                       (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl86, plain,
15.26/2.51	    (![X2 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk2' @ X2) =>
15.26/2.51	           (((X2 @ ('#sk38' @ X2)) & ('#sk38' @ X2 @ '#sk17')))))
15.26/2.51	        | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])).
15.26/2.51	thf(zip_derived_cl87, plain,
15.26/2.51	    (( ((('#sk2' @ '#sk39') =>
15.26/2.51	         ((('#sk39' @ ('#sk38' @ '#sk39')) & ('#sk38' @ '#sk39' @ '#sk17')))))
15.26/2.51	      | ~ ('#form69'))),
15.26/2.51	    inference('triggered_bool_instantiation', [status(thm)],
15.26/2.51	              [zip_derived_cl86])).
15.26/2.51	thf(zip_derived_cl463, plain,
15.26/2.51	    ((~ ('#sk2' @ '#sk39')
15.26/2.51	      |  ((('#sk39' @ ('#sk38' @ '#sk39')) & ('#sk38' @ '#sk39' @ '#sk17')))
15.26/2.51	      | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])).
15.26/2.51	thf(zip_derived_cl465, plain,
15.26/2.51	    (( ('#sk38' @ '#sk39' @ '#sk17') | ~ ('#form69') | ~ ('#sk2' @ '#sk39'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl463])).
15.26/2.51	thf(zip_derived_cl23, plain,
15.26/2.51	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                  ((('#sk2' @ Y0) =>
15.26/2.51	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
15.26/2.51	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                                  ((('#sk2' @ Y1) =>
15.26/2.51	                                    (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk17'))))))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl22])).
15.26/2.51	thf(zip_derived_cl49, plain,
15.26/2.51	    (![X-82 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	              (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                          ((('#sk2' @ Y1) =>
15.26/2.51	                            (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk17'))))))))) @ 
15.26/2.51	           X-82)
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('exists_hoist', [status(thm)], [zip_derived_cl23])).
15.26/2.51	thf(zip_derived_cl51, plain,
15.26/2.51	    ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                    ((('#sk2' @ Y0) =>
15.26/2.51	                      (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17'))))))))
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('triggered_bool_instantiation', [status(thm)],
15.26/2.51	              [zip_derived_cl49])).
15.26/2.51	thf(zip_derived_cl51, plain,
15.26/2.51	    ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                    ((('#sk2' @ Y0) =>
15.26/2.51	                      (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17'))))))))
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('triggered_bool_instantiation', [status(thm)],
15.26/2.51	              [zip_derived_cl49])).
15.26/2.51	thf(zip_derived_cl625, plain,
15.26/2.51	    (( ('#form69')
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl85, plain,
15.26/2.51	    ((~ ('#form69')
15.26/2.51	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                     ((('#sk2' @ Y0) =>
15.26/2.51	                       (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl627, plain,
15.26/2.51	    ((~ ('#form69')
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('renaming', [status(thm)],
15.26/2.51	              [zip_derived_cl51, zip_derived_cl625, zip_derived_cl85])).
15.26/2.51	thf(zip_derived_cl628, plain,
15.26/2.51	    ((~ ((('#sk2' @ '#sk39') =>
15.26/2.51	          (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
15.26/2.51	      | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl627])).
15.26/2.51	thf(zip_derived_cl631, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl628])).
15.26/2.51	thf(zip_derived_cl54, plain,
15.26/2.51	    (![X-83 : (a > $o) > $o]:
15.26/2.51	       ( ((^[Y0 : (a > $o) > $o]:
15.26/2.51	             ((('#sk2' @ Y0) =>
15.26/2.51	               (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1))))))))) @ 
15.26/2.51	          X-83)
15.26/2.51	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                       ((('#sk2' @ Y0) =>
15.26/2.51	                         (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('forall_hoist', [status(thm)], [zip_derived_cl53])).
15.26/2.51	thf(zip_derived_cl56, plain,
15.26/2.51	    (( ((('#sk2' @ '#sk39') =>
15.26/2.51	         (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
15.26/2.51	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                     ((('#sk2' @ Y0) =>
15.26/2.51	                       (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('triggered_bool_instantiation', [status(thm)],
15.26/2.51	              [zip_derived_cl54])).
15.26/2.51	thf(zip_derived_cl53, plain,
15.26/2.51	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                  ((('#sk2' @ Y0) =>
15.26/2.51	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
15.26/2.51	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl52])).
15.26/2.51	thf(zip_derived_cl59, plain,
15.26/2.51	    ((((^[Y0 : (a > $o) > $o]:
15.26/2.51	          ((('#sk2' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
15.26/2.51	            (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                        (((Y1 @ '#sk17') & (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))))))))) @ 
15.26/2.51	       '#sk39')
15.26/2.51	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('quantifier_rw', [status(thm)], [zip_derived_cl53])).
15.26/2.51	thf(zip_derived_cl63, plain,
15.26/2.51	    ((((('#sk2' @ '#sk39') =>
15.26/2.51	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
15.26/2.51	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl59])).
15.26/2.51	thf(zip_derived_cl64, plain,
15.26/2.51	    (![X-100 : (a > $o) > $o]:
15.26/2.51	       ( ((^[Y0 : (a > $o) > $o]:
15.26/2.51	             ((('#sk2' @ Y0) =>
15.26/2.51	               (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))) @ 
15.26/2.51	          X-100)
15.26/2.51	        |  ((('#sk2' @ '#sk39') =>
15.26/2.51	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    inference('forall_hoist', [status(thm)], [zip_derived_cl63])).
15.26/2.51	thf(zip_derived_cl82, plain,
15.26/2.51	    (![X-100 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk2' @ X-100) =>
15.26/2.51	           (((X-100 @ ('#sk38' @ X-100)) & ('#sk38' @ X-100 @ '#sk17')))))
15.26/2.51	        |  ((('#sk2' @ '#sk39') =>
15.26/2.51	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl64])).
15.26/2.51	thf(zip_derived_cl83, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk2' @ X0) =>
15.26/2.51	           (((X0 @ ('#sk38' @ X0)) & ('#sk38' @ X0 @ '#sk17')))))
15.26/2.51	        |  ((('#sk2' @ '#sk39') =>
15.26/2.51	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    inference('cannonize vars', [status(thm)], [zip_derived_cl82])).
15.26/2.51	thf(zip_derived_cl84, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       (~ ('#sk2' @ X0)
15.26/2.51	        |  (((X0 @ ('#sk38' @ X0)) & ('#sk38' @ X0 @ '#sk17')))
15.26/2.51	        |  ((('#sk2' @ '#sk39') =>
15.26/2.51	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
15.26/2.51	thf(zip_derived_cl99, plain,
15.26/2.51	    ((~ ('#form85')
15.26/2.51	      |  ((('#sk2' @ '#sk39') =>
15.26/2.51	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl698, plain,
15.26/2.51	    (( ('#form85')
15.26/2.51	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                     ((('#sk2' @ Y0) =>
15.26/2.51	                       (((Y0 @ ('#sk38' @ Y0)) & ('#sk38' @ Y0 @ '#sk17')))))))))),
15.26/2.51	    inference('renaming', [status(thm)], [zip_derived_cl56, zip_derived_cl99])).
15.26/2.51	thf(zip_derived_cl699, plain,
15.26/2.51	    (![X2 : (a > $o) > $o]:
15.26/2.51	       ( ((('#sk2' @ X2) =>
15.26/2.51	           (((X2 @ ('#sk38' @ X2)) & ('#sk38' @ X2 @ '#sk17')))))
15.26/2.51	        |  ('#form85'))),
15.26/2.51	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl698])).
15.26/2.51	thf(zip_derived_cl703, plain,
15.26/2.51	    (![X2 : (a > $o) > $o]:
15.26/2.51	       (~ ('#sk2' @ X2)
15.26/2.51	        |  (((X2 @ ('#sk38' @ X2)) & ('#sk38' @ X2 @ '#sk17')))
15.26/2.51	        |  ('#form85'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl699])).
15.26/2.51	thf(zip_derived_cl704, plain,
15.26/2.51	    (![X2 : (a > $o) > $o]:
15.26/2.51	       ( (X2 @ ('#sk38' @ X2)) |  ('#form85') | ~ ('#sk2' @ X2))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl703])).
15.26/2.51	thf(zip_derived_cl708, plain,
15.26/2.51	    ((~ ('#form69') |  ('#form85') |  ('#sk39' @ ('#sk38' @ '#sk39')))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl631, zip_derived_cl704])).
15.26/2.51	thf(zip_derived_cl631, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl628])).
15.26/2.51	thf(zip_derived_cl99, plain,
15.26/2.51	    ((~ ('#form85')
15.26/2.51	      |  ((('#sk2' @ '#sk39') =>
15.26/2.51	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl100, plain,
15.26/2.51	    ((~ ('#sk2' @ '#sk39')
15.26/2.51	      |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))
15.26/2.51	      | ~ ('#form85'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])).
15.26/2.51	thf(zip_derived_cl111, plain,
15.26/2.51	    (( ((('#sk60' @ '#sk17') & ('#sk39' @ '#sk60')))
15.26/2.51	      | ~ ('#form85')
15.26/2.51	      | ~ ('#sk2' @ '#sk39'))),
15.26/2.51	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])).
15.26/2.51	thf(zip_derived_cl122, plain,
15.26/2.51	    (( ('#sk60' @ '#sk17') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
15.26/2.51	thf(zip_derived_cl643, plain,
15.26/2.51	    ((~ ('#form69') | ~ ('#form85') |  ('#sk60' @ '#sk17'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl631, zip_derived_cl122])).
15.26/2.51	thf(zip_derived_cl631, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl628])).
15.26/2.51	thf(zip_derived_cl123, plain,
15.26/2.51	    (( ('#sk39' @ '#sk60') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
15.26/2.51	thf(zip_derived_cl642, plain,
15.26/2.51	    ((~ ('#form69') | ~ ('#form85') |  ('#sk39' @ '#sk60'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl631, zip_derived_cl123])).
15.26/2.51	thf(zip_derived_cl632, plain,
15.26/2.51	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))
15.26/2.51	      | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl628])).
15.26/2.51	thf(zip_derived_cl634, plain,
15.26/2.51	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl632])).
15.26/2.51	thf(zip_derived_cl636, plain,
15.26/2.51	    ((~ ((('#sk60' @ '#sk17') & ('#sk39' @ '#sk60'))) | ~ ('#form69'))),
15.26/2.51	    inference('triggered_bool_instantiation', [status(thm)],
15.26/2.51	              [zip_derived_cl634])).
15.26/2.51	thf(zip_derived_cl681, plain,
15.26/2.51	    ((~ ('#sk60' @ '#sk17') | ~ ('#sk39' @ '#sk60') | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl636])).
15.26/2.51	thf(zip_derived_cl719, plain,
15.26/2.51	    ((~ ('#form85') | ~ ('#form69') | ~ ('#form69') | ~ ('#sk60' @ '#sk17'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl642, zip_derived_cl681])).
15.26/2.51	thf(zip_derived_cl734, plain,
15.26/2.51	    ((~ ('#sk60' @ '#sk17') | ~ ('#form69') | ~ ('#form85'))),
15.26/2.51	    inference('simplify', [status(thm)], [zip_derived_cl719])).
15.26/2.51	thf(zip_derived_cl762, plain, ((~ ('#form85') | ~ ('#form69'))),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl643, zip_derived_cl734])).
15.26/2.51	thf(zip_derived_cl799, plain,
15.26/2.51	    (( ('#sk39' @ ('#sk38' @ '#sk39')) | ~ ('#form69'))),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl708, zip_derived_cl762])).
15.26/2.51	thf(zip_derived_cl634, plain,
15.26/2.51	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl632])).
15.26/2.51	thf(zip_derived_cl640, plain,
15.26/2.51	    (![X2 : a > $o]: (~ (X2 @ '#sk17') | ~ ('#sk39' @ X2) | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl634])).
15.26/2.51	thf(zip_derived_cl871, plain,
15.26/2.51	    ((~ ('#form69') | ~ ('#form69') | ~ ('#sk38' @ '#sk39' @ '#sk17'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl799, zip_derived_cl640])).
15.26/2.51	thf(zip_derived_cl878, plain,
15.26/2.51	    ((~ ('#sk38' @ '#sk39' @ '#sk17') | ~ ('#form69'))),
15.26/2.51	    inference('simplify', [status(thm)], [zip_derived_cl871])).
15.26/2.51	thf(zip_derived_cl887, plain,
15.26/2.51	    ((~ ('#sk2' @ '#sk39') | ~ ('#form69') | ~ ('#form69'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl465, zip_derived_cl878])).
15.26/2.51	thf(zip_derived_cl891, plain, ((~ ('#form69') | ~ ('#sk2' @ '#sk39'))),
15.26/2.51	    inference('simplify', [status(thm)], [zip_derived_cl887])).
15.26/2.51	thf(zip_derived_cl631, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl628])).
15.26/2.51	thf(zip_derived_cl909, plain, (~ ('#form69')),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl891, zip_derived_cl631])).
15.26/2.51	thf(zip_derived_cl910, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]: ( ('#sk88' @ X0 @ '#sk17') | ~ ('#sk2' @ X0))),
15.26/2.51	    inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl909])).
15.26/2.51	thf(zip_derived_cl49, plain,
15.26/2.51	    (![X-82 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	              (((!!) @ (^[Y1 : (a > $o) > $o]:
15.26/2.51	                          ((('#sk2' @ Y1) =>
15.26/2.51	                            (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk17'))))))))) @ 
15.26/2.51	           X-82)
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('exists_hoist', [status(thm)], [zip_derived_cl23])).
15.26/2.51	thf(zip_derived_cl60, plain,
15.26/2.51	    (![X-82 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ (X-82 @ Y0)) & (X-82 @ Y0 @ '#sk17'))))))))
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('ho_norm', [status(thm)], [zip_derived_cl49])).
15.26/2.51	thf(zip_derived_cl61, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((Y0 @ (X0 @ Y0)) & (X0 @ Y0 @ '#sk17'))))))))
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('cannonize vars', [status(thm)], [zip_derived_cl60])).
15.26/2.51	thf(zip_derived_cl62, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ((('#sk2' @ ('#sk46' @ X0)) =>
15.26/2.51	            ((('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0))) & (X0 @ 
15.26/2.51	              ('#sk46' @ X0) @ '#sk17')))))
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])).
15.26/2.51	thf(zip_derived_cl71, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       ( ('#sk2' @ ('#sk46' @ X0))
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
15.26/2.51	thf(zip_derived_cl71, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       ( ('#sk2' @ ('#sk46' @ X0))
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
15.26/2.51	thf(zip_derived_cl90, plain,
15.26/2.51	    (( ('#form72')
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl92, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ('#form72') |  ('#sk2' @ ('#sk46' @ X0)))),
15.26/2.51	    inference('renaming', [status(thm)], [zip_derived_cl71, zip_derived_cl90])).
15.26/2.51	thf(zip_derived_cl90, plain,
15.26/2.51	    (( ('#form72')
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl91, plain,
15.26/2.51	    ((~ ((('#sk2' @ '#sk39') =>
15.26/2.51	          (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
15.26/2.51	      |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl90])).
15.26/2.51	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
15.26/2.51	thf(zip_derived_cl704, plain,
15.26/2.51	    (![X2 : (a > $o) > $o]:
15.26/2.51	       ( (X2 @ ('#sk38' @ X2)) |  ('#form85') | ~ ('#sk2' @ X2))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl703])).
15.26/2.51	thf(zip_derived_cl709, plain,
15.26/2.51	    (( ('#form72') |  ('#form85') |  ('#sk39' @ ('#sk38' @ '#sk39')))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl704])).
15.26/2.51	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
15.26/2.51	thf(zip_derived_cl123, plain,
15.26/2.51	    (( ('#sk39' @ '#sk60') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
15.26/2.51	thf(zip_derived_cl186, plain,
15.26/2.51	    (( ('#form72') | ~ ('#form85') |  ('#sk39' @ '#sk60'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl123])).
15.26/2.51	thf(zip_derived_cl105, plain,
15.26/2.51	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))
15.26/2.51	      |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
15.26/2.51	thf(zip_derived_cl116, plain,
15.26/2.51	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
15.26/2.51	thf(zip_derived_cl117, plain,
15.26/2.51	    ((~ ((('#sk60' @ '#sk17') & ('#sk39' @ '#sk60'))) |  ('#form72'))),
15.26/2.51	    inference('triggered_bool_instantiation', [status(thm)],
15.26/2.51	              [zip_derived_cl116])).
15.26/2.51	thf(zip_derived_cl378, plain,
15.26/2.51	    ((~ ('#sk60' @ '#sk17') | ~ ('#sk39' @ '#sk60') |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])).
15.26/2.51	thf(zip_derived_cl379, plain,
15.26/2.51	    ((~ ('#form85') |  ('#form72') |  ('#form72') | ~ ('#sk60' @ '#sk17'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl378])).
15.26/2.51	thf(zip_derived_cl382, plain,
15.26/2.51	    ((~ ('#sk60' @ '#sk17') |  ('#form72') | ~ ('#form85'))),
15.26/2.51	    inference('simplify', [status(thm)], [zip_derived_cl379])).
15.26/2.51	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
15.26/2.51	thf(zip_derived_cl122, plain,
15.26/2.51	    (( ('#sk60' @ '#sk17') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
15.26/2.51	thf(zip_derived_cl129, plain,
15.26/2.51	    (( ('#form72') | ~ ('#form85') |  ('#sk60' @ '#sk17'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl122])).
15.26/2.51	thf(zip_derived_cl385, plain, ((~ ('#form85') |  ('#form72'))),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl382, zip_derived_cl129])).
15.26/2.51	thf(zip_derived_cl795, plain,
15.26/2.51	    (( ('#sk39' @ ('#sk38' @ '#sk39')) |  ('#form72'))),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl709, zip_derived_cl385])).
15.26/2.51	thf(zip_derived_cl116, plain,
15.26/2.51	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
15.26/2.51	thf(zip_derived_cl124, plain,
15.26/2.51	    (![X2 : a > $o]: (~ (X2 @ '#sk17') | ~ ('#sk39' @ X2) |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl116])).
15.26/2.51	thf(zip_derived_cl797, plain,
15.26/2.51	    (( ('#form72') |  ('#form72') | ~ ('#sk38' @ '#sk39' @ '#sk17'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl795, zip_derived_cl124])).
15.26/2.51	thf(zip_derived_cl798, plain,
15.26/2.51	    ((~ ('#sk38' @ '#sk39' @ '#sk17') |  ('#form72'))),
15.26/2.51	    inference('simplify', [status(thm)], [zip_derived_cl797])).
15.26/2.51	thf(zip_derived_cl84, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       (~ ('#sk2' @ X0)
15.26/2.51	        |  (((X0 @ ('#sk38' @ X0)) & ('#sk38' @ X0 @ '#sk17')))
15.26/2.51	        |  ((('#sk2' @ '#sk39') =>
15.26/2.51	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
15.26/2.51	thf(zip_derived_cl99, plain,
15.26/2.51	    ((~ ('#form85')
15.26/2.51	      |  ((('#sk2' @ '#sk39') =>
15.26/2.51	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl101, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ('#form85')
15.26/2.51	        |  (((X0 @ ('#sk38' @ X0)) & ('#sk38' @ X0 @ '#sk17')))
15.26/2.51	        | ~ ('#sk2' @ X0))),
15.26/2.51	    inference('renaming', [status(thm)], [zip_derived_cl84, zip_derived_cl99])).
15.26/2.51	thf(zip_derived_cl110, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( ('#sk38' @ X0 @ '#sk17') | ~ ('#sk2' @ X0) |  ('#form85'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl101])).
15.26/2.51	thf(zip_derived_cl807, plain,
15.26/2.51	    (( ('#form72') |  ('#form85') | ~ ('#sk2' @ '#sk39'))),
15.26/2.51	    inference('sup+', [status(thm)], [zip_derived_cl798, zip_derived_cl110])).
15.26/2.51	thf(zip_derived_cl385, plain, ((~ ('#form85') |  ('#form72'))),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl382, zip_derived_cl129])).
15.26/2.51	thf(zip_derived_cl825, plain, ((~ ('#sk2' @ '#sk39') |  ('#form72'))),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl807, zip_derived_cl385])).
15.26/2.51	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
15.26/2.51	thf(zip_derived_cl826, plain, ( ('#form72')),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl825, zip_derived_cl104])).
15.26/2.51	thf(zip_derived_cl827, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk2' @ ('#sk46' @ X0))),
15.26/2.51	    inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl826])).
15.26/2.51	thf(zip_derived_cl113, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]:
15.26/2.51	       ( (X0 @ ('#sk88' @ X0)) |  ('#form69') | ~ ('#sk2' @ X0))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])).
15.26/2.51	thf(zip_derived_cl909, plain, (~ ('#form69')),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl891, zip_derived_cl631])).
15.26/2.51	thf(zip_derived_cl1200, plain,
15.26/2.51	    (![X0 : (a > $o) > $o]: ( (X0 @ ('#sk88' @ X0)) | ~ ('#sk2' @ X0))),
15.26/2.51	    inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl909])).
15.26/2.51	thf(zip_derived_cl1201, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	        ('#sk46' @ X0 @ ('#sk88' @ ('#sk46' @ X0)))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl827, zip_derived_cl1200])).
15.26/2.51	thf(zip_derived_cl72, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ((('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0))) & (X0 @ ('#sk46' @ X0) @ 
15.26/2.51	            '#sk17')))
15.26/2.51	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                        ((('#sk2' @ Y0) =>
15.26/2.51	                          (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
15.26/2.51	thf(zip_derived_cl90, plain,
15.26/2.51	    (( ('#form72')
15.26/2.51	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
15.26/2.51	                      ((('#sk2' @ Y0) =>
15.26/2.51	                        (((??) @ (^[Y1 : a > $o]:
15.26/2.51	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
15.26/2.51	    define([status(thm)])).
15.26/2.51	thf(zip_derived_cl93, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ('#form72')
15.26/2.51	        | ~ ((('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0))) & (X0 @ 
15.26/2.51	              ('#sk46' @ X0) @ '#sk17'))))),
15.26/2.51	    inference('renaming', [status(thm)], [zip_derived_cl72, zip_derived_cl90])).
15.26/2.51	thf(zip_derived_cl106, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0)))
15.26/2.51	        | ~ (X0 @ ('#sk46' @ X0) @ '#sk17')
15.26/2.51	        | ~ ('#form72'))),
15.26/2.51	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])).
15.26/2.51	thf(zip_derived_cl826, plain, ( ('#form72')),
15.26/2.51	    inference('clc', [status(thm)], [zip_derived_cl825, zip_derived_cl104])).
15.26/2.51	thf(zip_derived_cl1110, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:
15.26/2.51	       (~ ('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0)))
15.26/2.51	        | ~ (X0 @ ('#sk46' @ X0) @ '#sk17'))),
15.26/2.51	    inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl826])).
15.26/2.51	thf(zip_derived_cl1235, plain, (~ ('#sk88' @ ('#sk46' @ '#sk88') @ '#sk17')),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl1201, zip_derived_cl1110])).
15.26/2.51	thf(zip_derived_cl1237, plain, (~ ('#sk2' @ ('#sk46' @ '#sk88'))),
15.26/2.51	    inference('sup-', [status(thm)], [zip_derived_cl910, zip_derived_cl1235])).
15.26/2.51	thf(zip_derived_cl827, plain,
15.26/2.51	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk2' @ ('#sk46' @ X0))),
15.26/2.51	    inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl826])).
15.26/2.51	thf(zip_derived_cl1238, plain, ($false),
15.26/2.51	    inference('demod', [status(thm)], [zip_derived_cl1237, zip_derived_cl827])).
15.26/2.51	
15.26/2.51	% SZS output end Refutation
15.26/2.51	
15.26/2.51	
15.26/2.51	% Terminating...
15.26/2.59	% Runner terminated.
15.26/2.59	% Zipperpin 1.5 exiting
15.26/2.59	EOF