0.03/0.09	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.10	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.U6ZX3Pznyl true
0.10/0.30	% Computer : n006.cluster.edu
0.10/0.30	% Model    : x86_64 x86_64
0.10/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.30	% Memory   : 8042.1875MB
0.10/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.30	% CPULimit : 1920
0.10/0.30	% WCLimit  : 240
0.10/0.30	% DateTime : Wed Jul 30 08:15:19 EDT 2025
0.10/0.30	% CPUTime  : 
0.10/0.30	% Running portfolio for 1920 s
0.10/0.30	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.30	% Number of cores: 8
0.10/0.31	% Python version: Python 3.6.8
0.10/0.31	% Running in HO mode
0.51/0.60	% Total configuration time : 828
0.51/0.60	% Estimated wc time : 1656
0.51/0.60	% Estimated cpu time (8 cpus) : 207.0
0.75/0.66	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.75/0.67	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.75/0.67	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.75/0.67	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.75/0.67	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.75/0.68	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.75/0.68	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.75/0.68	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
26.34/3.94	% Solved by lams/35_full_unif4.sh.
26.34/3.94	% done 305 iterations in 3.228s
26.34/3.94	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
26.34/3.94	% SZS output start Refutation
26.34/3.94	thf(a_type, type, a: $tType).
26.34/3.94	thf('#sk88_type', type, '#sk88': ((a > $o) > $o) > a > $o).
26.34/3.94	thf('#sk2_type', type, '#sk2': ((a > $o) > $o) > $o).
26.34/3.94	thf('#form72_type', type, '#form72': $o).
26.34/3.94	thf('#form85_type', type, '#form85': $o).
26.34/3.94	thf('#sk46_type', type, '#sk46': (((a > $o) > $o) > a > $o) > (a > $o) > $o).
26.34/3.94	thf('#form69_type', type, '#form69': $o).
26.34/3.94	thf('#sk39_type', type, '#sk39': (a > $o) > $o).
26.34/3.94	thf('#sk38_type', type, '#sk38': ((a > $o) > $o) > a > $o).
26.34/3.94	thf('#sk60_type', type, '#sk60': a > $o).
26.34/3.94	thf('#sk17_type', type, '#sk17': a).
26.34/3.94	thf(cTHM535B, conjecture,
26.34/3.94	  (( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
26.34/3.94	     ( ![X:( ( a > $o ) > $o )]:
26.34/3.94	       ( ( ?[Xt:( a > $o )]: ( X @ Xt ) ) => ( X @ ( Xf @ X ) ) ) ) ) =>
26.34/3.94	   ( ![A:( ( ( a > $o ) > $o ) > $o )]:
26.34/3.94	     ( ( ( ![X:( ( a > $o ) > $o )]:
26.34/3.94	           ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) & 
26.34/3.94	         ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) ) =>
26.34/3.94	       ( ( ^[Xx:a]:
26.34/3.94	           ( ![Xa:( ( a > $o ) > $o )]:
26.34/3.94	             ( ( A @ Xa ) =>
26.34/3.94	               ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
26.34/3.94	         ( ^[Xx:a]:
26.34/3.94	           ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
26.34/3.94	             ( ![Xa:( ( a > $o ) > $o )]:
26.34/3.94	               ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ))).
26.34/3.94	thf(zf_stmt_0, negated_conjecture,
26.34/3.94	  (~( ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
26.34/3.94	        ( ![X:( ( a > $o ) > $o )]:
26.34/3.94	          ( ( ?[Xt:( a > $o )]: ( X @ Xt ) ) => ( X @ ( Xf @ X ) ) ) ) ) =>
26.34/3.94	      ( ![A:( ( ( a > $o ) > $o ) > $o )]:
26.34/3.94	        ( ( ( ![X:( ( a > $o ) > $o )]:
26.34/3.94	              ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) & 
26.34/3.94	            ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) ) =>
26.34/3.94	          ( ( ^[Xx:a]:
26.34/3.94	              ( ![Xa:( ( a > $o ) > $o )]:
26.34/3.94	                ( ( A @ Xa ) =>
26.34/3.94	                  ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
26.34/3.94	            ( ^[Xx:a]:
26.34/3.94	              ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
26.34/3.94	                ( ![Xa:( ( a > $o ) > $o )]:
26.34/3.94	                  ( ( A @ Xa ) => ( ( Xf @ Xa @ Xx ) & ( Xa @ ( Xf @ Xa ) ) ) ) ) ) ) ) ) ) )),
26.34/3.94	  inference('cnf.neg', [status(esa)], [cTHM535B])).
26.34/3.94	thf(zip_derived_cl0, plain,
26.34/3.94	    (~ (((((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                     (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                                 (((((??) @ (^[Y2 : a > $o]: (Y1 @ Y2)))) =>
26.34/3.94	                                   (Y1 @ (Y0 @ Y1)))))))))) =>
26.34/3.94	         (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
26.34/3.94	                     (((((((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                                     (((Y0 @ Y1) =>
26.34/3.94	                                       (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) &
26.34/3.94	                         (((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))))) =>
26.34/3.94	                       ((((^[Y1 : a]:
26.34/3.94	                             (((!!) @ (^[Y2 : (a > $o) > $o]:
26.34/3.94	                                         (((Y0 @ Y2) =>
26.34/3.94	                                           (((??) @ (^[Y3 : a > $o]:
26.34/3.94	                                                       (((Y3 @ Y1) & (Y2 @ 
26.34/3.94	                                                         Y3))))))))))))) =
26.34/3.94	                         ((^[Y1 : a]:
26.34/3.94	                             (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                                         (((!!) @ (^[Y3 : (a > $o) > $o]:
26.34/3.94	                                                     (((Y0 @ Y3) =>
26.34/3.94	                                                       (((Y2 @ Y3 @ Y1) &
26.34/3.94	                                                         (Y3 @ (Y2 @ Y3)))))))))))))))))))))))),
26.34/3.94	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.34/3.94	thf(zip_derived_cl2, plain,
26.34/3.94	    (~ (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
26.34/3.94	                   (((((((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                                   (((Y0 @ Y1) =>
26.34/3.94	                                     (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) &
26.34/3.94	                       (((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))))) =>
26.34/3.94	                     ((((^[Y1 : a]:
26.34/3.94	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
26.34/3.94	                                       (((Y0 @ Y2) =>
26.34/3.94	                                         (((??) @ (^[Y3 : a > $o]:
26.34/3.94	                                                     (((Y3 @ Y1) & (Y2 @ Y3))))))))))))) =
26.34/3.94	                       ((^[Y1 : a]:
26.34/3.94	                           (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                                       (((!!) @ (^[Y3 : (a > $o) > $o]:
26.34/3.94	                                                   (((Y0 @ Y3) =>
26.34/3.94	                                                     (((Y2 @ Y3 @ Y1) &
26.34/3.94	                                                       (Y3 @ (Y2 @ Y3)))))))))))))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
26.34/3.94	thf(zip_derived_cl4, plain,
26.34/3.94	    (~ (((((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         (((??) @ (^[Y1 : a > $o]: (Y0 @ Y1))))))))) &
26.34/3.94	           (((??) @ (^[Y0 : (a > $o) > $o]: ('#sk2' @ Y0)))))) =>
26.34/3.94	         ((((^[Y0 : a]:
26.34/3.94	               (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                           ((('#sk2' @ Y1) =>
26.34/3.94	                             (((??) @ (^[Y2 : a > $o]:
26.34/3.94	                                         (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
26.34/3.94	           ((^[Y0 : a]:
26.34/3.94	               (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
26.34/3.94	                                       ((('#sk2' @ Y2) =>
26.34/3.94	                                         (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))))),
26.34/3.94	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
26.34/3.94	thf(zip_derived_cl7, plain,
26.34/3.94	    (~ ((((^[Y0 : a]:
26.34/3.94	             (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                         ((('#sk2' @ Y1) =>
26.34/3.94	                           (((??) @ (^[Y2 : a > $o]:
26.34/3.94	                                       (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
26.34/3.94	         ((^[Y0 : a]:
26.34/3.94	             (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                         (((!!) @ (^[Y2 : (a > $o) > $o]:
26.34/3.94	                                     ((('#sk2' @ Y2) =>
26.34/3.94	                                       (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2))))))))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
26.34/3.94	thf(zip_derived_cl11, plain,
26.34/3.94	    ((((^[Y0 : a]:
26.34/3.94	          (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y1) =>
26.34/3.94	                        (((??) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (Y1 @ Y2)))))))))))))
26.34/3.94	       != ((^[Y0 : a]:
26.34/3.94	              (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                          (((!!) @ (^[Y2 : (a > $o) > $o]:
26.34/3.94	                                      ((('#sk2' @ Y2) =>
26.34/3.94	                                        (((Y1 @ Y2 @ Y0) & (Y2 @ (Y1 @ Y2)))))))))))))))),
26.34/3.94	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])).
26.34/3.94	thf(zip_derived_cl22, plain,
26.34/3.94	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                  ((('#sk2' @ 
26.34/3.94	                    (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
26.34/3.94	                    (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                (((Y1 @ '#sk17') & (Y0 @ 
26.34/3.94	                                  (^[Y2 : a]: (Y1 @ Y2)))))))))))))
26.34/3.94	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                                  ((('#sk2' @ 
26.34/3.94	                                    (^[Y2 : a > $o]:
26.34/3.94	                                       (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
26.34/3.94	                                    (((Y0 @ 
26.34/3.94	                                      (^[Y2 : a > $o]:
26.34/3.94	                                         (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
26.34/3.94	                                      '#sk17') & (Y1 @ 
26.34/3.94	                                      (^[Y2 : a]:
26.34/3.94	                                         (Y0 @ 
26.34/3.94	                                          (^[Y3 : a > $o]:
26.34/3.94	                                             (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
26.34/3.94	                                          Y2))))))))))))))),
26.34/3.94	    inference('neg_ext', [status(thm)], [zip_derived_cl11])).
26.34/3.94	thf(zip_derived_cl23, plain,
26.34/3.94	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                  ((('#sk2' @ Y0) =>
26.34/3.94	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
26.34/3.94	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                                  ((('#sk2' @ Y1) =>
26.34/3.94	                                    (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl22])).
26.34/3.94	thf(zip_derived_cl52, plain,
26.34/3.94	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                  ((('#sk2' @ Y0) =>
26.34/3.94	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
26.34/3.94	       != ((^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	              (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                          ((('#sk2' @ 
26.34/3.94	                            (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
26.34/3.94	                            (((Y0 @ 
26.34/3.94	                              (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
26.34/3.94	                              '#sk17') & (Y1 @ 
26.34/3.94	                              (^[Y2 : a]:
26.34/3.94	                                 (Y0 @ 
26.34/3.94	                                  (^[Y3 : a > $o]:
26.34/3.94	                                     (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
26.34/3.94	                                  Y2))))))))))) @ 
26.34/3.94	           '#sk38'))),
26.34/3.94	    inference('quantifier_rw', [status(thm)], [zip_derived_cl23])).
26.34/3.94	thf(zip_derived_cl53, plain,
26.34/3.94	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                  ((('#sk2' @ Y0) =>
26.34/3.94	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
26.34/3.94	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl52])).
26.34/3.94	thf(zip_derived_cl54, plain,
26.34/3.94	    (![X-83 : (a > $o) > $o]:
26.34/3.94	       ( ((^[Y0 : (a > $o) > $o]:
26.34/3.94	             ((('#sk2' @ Y0) =>
26.34/3.94	               (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1))))))))) @ 
26.34/3.94	          X-83)
26.34/3.94	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('forall_hoist', [status(thm)], [zip_derived_cl53])).
26.34/3.94	thf(zip_derived_cl68, plain,
26.34/3.94	    (![X-83 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk2' @ X-83) =>
26.34/3.94	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X-83 @ Y0))))))))
26.34/3.94	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl54])).
26.34/3.94	thf(zip_derived_cl69, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk2' @ X0) =>
26.34/3.94	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))))
26.34/3.94	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('cannonize vars', [status(thm)], [zip_derived_cl68])).
26.34/3.94	thf(zip_derived_cl70, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       (~ ('#sk2' @ X0)
26.34/3.94	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))
26.34/3.94	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
26.34/3.94	thf(zip_derived_cl70, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       (~ ('#sk2' @ X0)
26.34/3.94	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))
26.34/3.94	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
26.34/3.94	thf(zip_derived_cl85, plain,
26.34/3.94	    ((~ ('#form69')
26.34/3.94	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                     ((('#sk2' @ Y0) =>
26.34/3.94	                       ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl89, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ('#form69')
26.34/3.94	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & (X0 @ Y0))))))
26.34/3.94	        | ~ ('#sk2' @ X0))),
26.34/3.94	    inference('renaming', [status(thm)], [zip_derived_cl70, zip_derived_cl85])).
26.34/3.94	thf(zip_derived_cl102, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk88' @ X0 @ '#sk17') & (X0 @ ('#sk88' @ X0))))
26.34/3.94	        | ~ ('#sk2' @ X0)
26.34/3.94	        |  ('#form69'))),
26.34/3.94	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl89])).
26.34/3.94	thf(zip_derived_cl112, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ('#sk88' @ X0 @ '#sk17') |  ('#form69') | ~ ('#sk2' @ X0))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])).
26.34/3.94	thf(zip_derived_cl85, plain,
26.34/3.94	    ((~ ('#form69')
26.34/3.94	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                     ((('#sk2' @ Y0) =>
26.34/3.94	                       ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl86, plain,
26.34/3.94	    (![X2 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk2' @ X2) =>
26.34/3.94	           ((('#sk38' @ X2 @ '#sk17') & (X2 @ ('#sk38' @ X2))))))
26.34/3.94	        | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])).
26.34/3.94	thf(zip_derived_cl87, plain,
26.34/3.94	    (( ((('#sk2' @ '#sk39') =>
26.34/3.94	         ((('#sk38' @ '#sk39' @ '#sk17') & ('#sk39' @ ('#sk38' @ '#sk39'))))))
26.34/3.94	      | ~ ('#form69'))),
26.34/3.94	    inference('triggered_bool_instantiation', [status(thm)],
26.34/3.94	              [zip_derived_cl86])).
26.34/3.94	thf(zip_derived_cl463, plain,
26.34/3.94	    ((~ ('#sk2' @ '#sk39')
26.34/3.94	      |  ((('#sk38' @ '#sk39' @ '#sk17') & ('#sk39' @ ('#sk38' @ '#sk39'))))
26.34/3.94	      | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])).
26.34/3.94	thf(zip_derived_cl464, plain,
26.34/3.94	    (( ('#sk38' @ '#sk39' @ '#sk17') | ~ ('#form69') | ~ ('#sk2' @ '#sk39'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl463])).
26.34/3.94	thf(zip_derived_cl23, plain,
26.34/3.94	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                  ((('#sk2' @ Y0) =>
26.34/3.94	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
26.34/3.94	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                                  ((('#sk2' @ Y1) =>
26.34/3.94	                                    (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl22])).
26.34/3.94	thf(zip_derived_cl49, plain,
26.34/3.94	    (![X-82 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	              (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                          ((('#sk2' @ Y1) =>
26.34/3.94	                            (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))) @ 
26.34/3.94	           X-82)
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('exists_hoist', [status(thm)], [zip_derived_cl23])).
26.34/3.94	thf(zip_derived_cl51, plain,
26.34/3.94	    ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                    ((('#sk2' @ Y0) =>
26.34/3.94	                      ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0)))))))))
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('triggered_bool_instantiation', [status(thm)],
26.34/3.94	              [zip_derived_cl49])).
26.34/3.94	thf(zip_derived_cl51, plain,
26.34/3.94	    ((~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                    ((('#sk2' @ Y0) =>
26.34/3.94	                      ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0)))))))))
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('triggered_bool_instantiation', [status(thm)],
26.34/3.94	              [zip_derived_cl49])).
26.34/3.94	thf(zip_derived_cl640, plain,
26.34/3.94	    (( ('#form69')
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl85, plain,
26.34/3.94	    ((~ ('#form69')
26.34/3.94	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                     ((('#sk2' @ Y0) =>
26.34/3.94	                       ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl642, plain,
26.34/3.94	    ((~ ('#form69')
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('renaming', [status(thm)],
26.34/3.94	              [zip_derived_cl51, zip_derived_cl640, zip_derived_cl85])).
26.34/3.94	thf(zip_derived_cl643, plain,
26.34/3.94	    ((~ ((('#sk2' @ '#sk39') =>
26.34/3.94	          (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
26.34/3.94	      | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl642])).
26.34/3.94	thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
26.34/3.94	thf(zip_derived_cl54, plain,
26.34/3.94	    (![X-83 : (a > $o) > $o]:
26.34/3.94	       ( ((^[Y0 : (a > $o) > $o]:
26.34/3.94	             ((('#sk2' @ Y0) =>
26.34/3.94	               (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1))))))))) @ 
26.34/3.94	          X-83)
26.34/3.94	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                       ((('#sk2' @ Y0) =>
26.34/3.94	                         ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('forall_hoist', [status(thm)], [zip_derived_cl53])).
26.34/3.94	thf(zip_derived_cl56, plain,
26.34/3.94	    (( ((('#sk2' @ '#sk39') =>
26.34/3.94	         (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
26.34/3.94	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                     ((('#sk2' @ Y0) =>
26.34/3.94	                       ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('triggered_bool_instantiation', [status(thm)],
26.34/3.94	              [zip_derived_cl54])).
26.34/3.94	thf(zip_derived_cl53, plain,
26.34/3.94	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                  ((('#sk2' @ Y0) =>
26.34/3.94	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk17') & (Y0 @ Y1)))))))))))
26.34/3.94	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl52])).
26.34/3.94	thf(zip_derived_cl59, plain,
26.34/3.94	    ((((^[Y0 : (a > $o) > $o]:
26.34/3.94	          ((('#sk2' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
26.34/3.94	            (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                        (((Y1 @ '#sk17') & (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))))))))) @ 
26.34/3.94	       '#sk39')
26.34/3.94	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('quantifier_rw', [status(thm)], [zip_derived_cl53])).
26.34/3.94	thf(zip_derived_cl63, plain,
26.34/3.94	    ((((('#sk2' @ '#sk39') =>
26.34/3.94	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
26.34/3.94	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl59])).
26.34/3.94	thf(zip_derived_cl64, plain,
26.34/3.94	    (![X-100 : (a > $o) > $o]:
26.34/3.94	       ( ((^[Y0 : (a > $o) > $o]:
26.34/3.94	             ((('#sk2' @ Y0) =>
26.34/3.94	               ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))) @ 
26.34/3.94	          X-100)
26.34/3.94	        |  ((('#sk2' @ '#sk39') =>
26.34/3.94	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    inference('forall_hoist', [status(thm)], [zip_derived_cl63])).
26.34/3.94	thf(zip_derived_cl82, plain,
26.34/3.94	    (![X-100 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk2' @ X-100) =>
26.34/3.94	           ((('#sk38' @ X-100 @ '#sk17') & (X-100 @ ('#sk38' @ X-100))))))
26.34/3.94	        |  ((('#sk2' @ '#sk39') =>
26.34/3.94	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl64])).
26.34/3.94	thf(zip_derived_cl83, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk2' @ X0) =>
26.34/3.94	           ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))))
26.34/3.94	        |  ((('#sk2' @ '#sk39') =>
26.34/3.94	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    inference('cannonize vars', [status(thm)], [zip_derived_cl82])).
26.34/3.94	thf(zip_derived_cl84, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       (~ ('#sk2' @ X0)
26.34/3.94	        |  ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))
26.34/3.94	        |  ((('#sk2' @ '#sk39') =>
26.34/3.94	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
26.34/3.94	thf(zip_derived_cl99, plain,
26.34/3.94	    ((~ ('#form85')
26.34/3.94	      |  ((('#sk2' @ '#sk39') =>
26.34/3.94	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl703, plain,
26.34/3.94	    (( ('#form85')
26.34/3.94	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                     ((('#sk2' @ Y0) =>
26.34/3.94	                       ((('#sk38' @ Y0 @ '#sk17') & (Y0 @ ('#sk38' @ Y0))))))))))),
26.34/3.94	    inference('renaming', [status(thm)], [zip_derived_cl56, zip_derived_cl99])).
26.34/3.94	thf(zip_derived_cl704, plain,
26.34/3.94	    (![X2 : (a > $o) > $o]:
26.34/3.94	       ( ((('#sk2' @ X2) =>
26.34/3.94	           ((('#sk38' @ X2 @ '#sk17') & (X2 @ ('#sk38' @ X2))))))
26.34/3.94	        |  ('#form85'))),
26.34/3.94	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl703])).
26.34/3.94	thf(zip_derived_cl708, plain,
26.34/3.94	    (![X2 : (a > $o) > $o]:
26.34/3.94	       (~ ('#sk2' @ X2)
26.34/3.94	        |  ((('#sk38' @ X2 @ '#sk17') & (X2 @ ('#sk38' @ X2))))
26.34/3.94	        |  ('#form85'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl704])).
26.34/3.94	thf(zip_derived_cl710, plain,
26.34/3.94	    (![X2 : (a > $o) > $o]:
26.34/3.94	       ( (X2 @ ('#sk38' @ X2)) |  ('#form85') | ~ ('#sk2' @ X2))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl708])).
26.34/3.94	thf(zip_derived_cl713, plain,
26.34/3.94	    ((~ ('#form69') |  ('#form85') |  ('#sk39' @ ('#sk38' @ '#sk39')))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl710])).
26.34/3.94	thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
26.34/3.94	thf(zip_derived_cl99, plain,
26.34/3.94	    ((~ ('#form85')
26.34/3.94	      |  ((('#sk2' @ '#sk39') =>
26.34/3.94	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl100, plain,
26.34/3.94	    ((~ ('#sk2' @ '#sk39')
26.34/3.94	      |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))
26.34/3.94	      | ~ ('#form85'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl99])).
26.34/3.94	thf(zip_derived_cl111, plain,
26.34/3.94	    (( ((('#sk60' @ '#sk17') & ('#sk39' @ '#sk60')))
26.34/3.94	      | ~ ('#form85')
26.34/3.94	      | ~ ('#sk2' @ '#sk39'))),
26.34/3.94	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])).
26.34/3.94	thf(zip_derived_cl122, plain,
26.34/3.94	    (( ('#sk60' @ '#sk17') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
26.34/3.94	thf(zip_derived_cl658, plain,
26.34/3.94	    ((~ ('#form69') | ~ ('#form85') |  ('#sk60' @ '#sk17'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl122])).
26.34/3.94	thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
26.34/3.94	thf(zip_derived_cl123, plain,
26.34/3.94	    (( ('#sk39' @ '#sk60') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
26.34/3.94	thf(zip_derived_cl657, plain,
26.34/3.94	    ((~ ('#form69') | ~ ('#form85') |  ('#sk39' @ '#sk60'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl646, zip_derived_cl123])).
26.34/3.94	thf(zip_derived_cl647, plain,
26.34/3.94	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))
26.34/3.94	      | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
26.34/3.94	thf(zip_derived_cl649, plain,
26.34/3.94	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl647])).
26.34/3.94	thf(zip_derived_cl651, plain,
26.34/3.94	    ((~ ((('#sk60' @ '#sk17') & ('#sk39' @ '#sk60'))) | ~ ('#form69'))),
26.34/3.94	    inference('triggered_bool_instantiation', [status(thm)],
26.34/3.94	              [zip_derived_cl649])).
26.34/3.94	thf(zip_derived_cl692, plain,
26.34/3.94	    ((~ ('#sk60' @ '#sk17') | ~ ('#sk39' @ '#sk60') | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl651])).
26.34/3.94	thf(zip_derived_cl726, plain,
26.34/3.94	    ((~ ('#form85') | ~ ('#form69') | ~ ('#form69') | ~ ('#sk60' @ '#sk17'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl657, zip_derived_cl692])).
26.34/3.94	thf(zip_derived_cl741, plain,
26.34/3.94	    ((~ ('#sk60' @ '#sk17') | ~ ('#form69') | ~ ('#form85'))),
26.34/3.94	    inference('simplify', [status(thm)], [zip_derived_cl726])).
26.34/3.94	thf(zip_derived_cl773, plain, ((~ ('#form85') | ~ ('#form69'))),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl658, zip_derived_cl741])).
26.34/3.94	thf(zip_derived_cl828, plain,
26.34/3.94	    (( ('#sk39' @ ('#sk38' @ '#sk39')) | ~ ('#form69'))),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl713, zip_derived_cl773])).
26.34/3.94	thf(zip_derived_cl649, plain,
26.34/3.94	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl647])).
26.34/3.94	thf(zip_derived_cl655, plain,
26.34/3.94	    (![X2 : a > $o]: (~ (X2 @ '#sk17') | ~ ('#sk39' @ X2) | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl649])).
26.34/3.94	thf(zip_derived_cl881, plain,
26.34/3.94	    ((~ ('#form69') | ~ ('#form69') | ~ ('#sk38' @ '#sk39' @ '#sk17'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl828, zip_derived_cl655])).
26.34/3.94	thf(zip_derived_cl888, plain,
26.34/3.94	    ((~ ('#sk38' @ '#sk39' @ '#sk17') | ~ ('#form69'))),
26.34/3.94	    inference('simplify', [status(thm)], [zip_derived_cl881])).
26.34/3.94	thf(zip_derived_cl897, plain,
26.34/3.94	    ((~ ('#sk2' @ '#sk39') | ~ ('#form69') | ~ ('#form69'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl464, zip_derived_cl888])).
26.34/3.94	thf(zip_derived_cl901, plain, ((~ ('#form69') | ~ ('#sk2' @ '#sk39'))),
26.34/3.94	    inference('simplify', [status(thm)], [zip_derived_cl897])).
26.34/3.94	thf(zip_derived_cl646, plain, (( ('#sk2' @ '#sk39') | ~ ('#form69'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl643])).
26.34/3.94	thf(zip_derived_cl919, plain, (~ ('#form69')),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl646])).
26.34/3.94	thf(zip_derived_cl920, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]: ( ('#sk88' @ X0 @ '#sk17') | ~ ('#sk2' @ X0))),
26.34/3.94	    inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl919])).
26.34/3.94	thf(zip_derived_cl49, plain,
26.34/3.94	    (![X-82 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	              (((!!) @ (^[Y1 : (a > $o) > $o]:
26.34/3.94	                          ((('#sk2' @ Y1) =>
26.34/3.94	                            (((Y0 @ Y1 @ '#sk17') & (Y1 @ (Y0 @ Y1)))))))))) @ 
26.34/3.94	           X-82)
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('exists_hoist', [status(thm)], [zip_derived_cl23])).
26.34/3.94	thf(zip_derived_cl60, plain,
26.34/3.94	    (![X-82 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((X-82 @ Y0 @ '#sk17') & (Y0 @ (X-82 @ Y0)))))))))
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('ho_norm', [status(thm)], [zip_derived_cl49])).
26.34/3.94	thf(zip_derived_cl61, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((X0 @ Y0 @ '#sk17') & (Y0 @ (X0 @ Y0)))))))))
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('cannonize vars', [status(thm)], [zip_derived_cl60])).
26.34/3.94	thf(zip_derived_cl62, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ ((('#sk2' @ ('#sk46' @ X0)) =>
26.34/3.94	            (((X0 @ ('#sk46' @ X0) @ '#sk17') & ('#sk46' @ X0 @ 
26.34/3.94	              (X0 @ ('#sk46' @ X0)))))))
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])).
26.34/3.94	thf(zip_derived_cl71, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       ( ('#sk2' @ ('#sk46' @ X0))
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
26.34/3.94	thf(zip_derived_cl71, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       ( ('#sk2' @ ('#sk46' @ X0))
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
26.34/3.94	thf(zip_derived_cl90, plain,
26.34/3.94	    (( ('#form72')
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl92, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ ('#form72') |  ('#sk2' @ ('#sk46' @ X0)))),
26.34/3.94	    inference('renaming', [status(thm)], [zip_derived_cl71, zip_derived_cl90])).
26.34/3.94	thf(zip_derived_cl90, plain,
26.34/3.94	    (( ('#form72')
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl91, plain,
26.34/3.94	    ((~ ((('#sk2' @ '#sk39') =>
26.34/3.94	          (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))))
26.34/3.94	      |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl90])).
26.34/3.94	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
26.34/3.94	thf(zip_derived_cl710, plain,
26.34/3.94	    (![X2 : (a > $o) > $o]:
26.34/3.94	       ( (X2 @ ('#sk38' @ X2)) |  ('#form85') | ~ ('#sk2' @ X2))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl708])).
26.34/3.94	thf(zip_derived_cl714, plain,
26.34/3.94	    (( ('#form72') |  ('#form85') |  ('#sk39' @ ('#sk38' @ '#sk39')))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl710])).
26.34/3.94	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
26.34/3.94	thf(zip_derived_cl123, plain,
26.34/3.94	    (( ('#sk39' @ '#sk60') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
26.34/3.94	thf(zip_derived_cl186, plain,
26.34/3.94	    (( ('#form72') | ~ ('#form85') |  ('#sk39' @ '#sk60'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl123])).
26.34/3.94	thf(zip_derived_cl105, plain,
26.34/3.94	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0))))))
26.34/3.94	      |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
26.34/3.94	thf(zip_derived_cl116, plain,
26.34/3.94	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
26.34/3.94	thf(zip_derived_cl117, plain,
26.34/3.94	    ((~ ((('#sk60' @ '#sk17') & ('#sk39' @ '#sk60'))) |  ('#form72'))),
26.34/3.94	    inference('triggered_bool_instantiation', [status(thm)],
26.34/3.94	              [zip_derived_cl116])).
26.34/3.94	thf(zip_derived_cl378, plain,
26.34/3.94	    ((~ ('#sk60' @ '#sk17') | ~ ('#sk39' @ '#sk60') |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])).
26.34/3.94	thf(zip_derived_cl379, plain,
26.34/3.94	    ((~ ('#form85') |  ('#form72') |  ('#form72') | ~ ('#sk60' @ '#sk17'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl378])).
26.34/3.94	thf(zip_derived_cl382, plain,
26.34/3.94	    ((~ ('#sk60' @ '#sk17') |  ('#form72') | ~ ('#form85'))),
26.34/3.94	    inference('simplify', [status(thm)], [zip_derived_cl379])).
26.34/3.94	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
26.34/3.94	thf(zip_derived_cl122, plain,
26.34/3.94	    (( ('#sk60' @ '#sk17') | ~ ('#sk2' @ '#sk39') | ~ ('#form85'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl111])).
26.34/3.94	thf(zip_derived_cl129, plain,
26.34/3.94	    (( ('#form72') | ~ ('#form85') |  ('#sk60' @ '#sk17'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl122])).
26.34/3.94	thf(zip_derived_cl385, plain, ((~ ('#form85') |  ('#form72'))),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl382, zip_derived_cl129])).
26.34/3.94	thf(zip_derived_cl806, plain,
26.34/3.94	    (( ('#sk39' @ ('#sk38' @ '#sk39')) |  ('#form72'))),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl714, zip_derived_cl385])).
26.34/3.94	thf(zip_derived_cl116, plain,
26.34/3.94	    (![X2 : a > $o]: (~ (((X2 @ '#sk17') & ('#sk39' @ X2))) |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
26.34/3.94	thf(zip_derived_cl124, plain,
26.34/3.94	    (![X2 : a > $o]: (~ (X2 @ '#sk17') | ~ ('#sk39' @ X2) |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl116])).
26.34/3.94	thf(zip_derived_cl808, plain,
26.34/3.94	    (( ('#form72') |  ('#form72') | ~ ('#sk38' @ '#sk39' @ '#sk17'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl806, zip_derived_cl124])).
26.34/3.94	thf(zip_derived_cl809, plain,
26.34/3.94	    ((~ ('#sk38' @ '#sk39' @ '#sk17') |  ('#form72'))),
26.34/3.94	    inference('simplify', [status(thm)], [zip_derived_cl808])).
26.34/3.94	thf(zip_derived_cl84, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       (~ ('#sk2' @ X0)
26.34/3.94	        |  ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))
26.34/3.94	        |  ((('#sk2' @ '#sk39') =>
26.34/3.94	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
26.34/3.94	thf(zip_derived_cl99, plain,
26.34/3.94	    ((~ ('#form85')
26.34/3.94	      |  ((('#sk2' @ '#sk39') =>
26.34/3.94	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk17') & ('#sk39' @ Y0)))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl101, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ('#form85')
26.34/3.94	        |  ((('#sk38' @ X0 @ '#sk17') & (X0 @ ('#sk38' @ X0))))
26.34/3.94	        | ~ ('#sk2' @ X0))),
26.34/3.94	    inference('renaming', [status(thm)], [zip_derived_cl84, zip_derived_cl99])).
26.34/3.94	thf(zip_derived_cl109, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( ('#sk38' @ X0 @ '#sk17') | ~ ('#sk2' @ X0) |  ('#form85'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl101])).
26.34/3.94	thf(zip_derived_cl815, plain,
26.34/3.94	    (( ('#form72') |  ('#form85') | ~ ('#sk2' @ '#sk39'))),
26.34/3.94	    inference('sup+', [status(thm)], [zip_derived_cl809, zip_derived_cl109])).
26.34/3.94	thf(zip_derived_cl385, plain, ((~ ('#form85') |  ('#form72'))),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl382, zip_derived_cl129])).
26.34/3.94	thf(zip_derived_cl835, plain, ((~ ('#sk2' @ '#sk39') |  ('#form72'))),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl815, zip_derived_cl385])).
26.34/3.94	thf(zip_derived_cl104, plain, (( ('#sk2' @ '#sk39') |  ('#form72'))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
26.34/3.94	thf(zip_derived_cl836, plain, ( ('#form72')),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl835, zip_derived_cl104])).
26.34/3.94	thf(zip_derived_cl837, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk2' @ ('#sk46' @ X0))),
26.34/3.94	    inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl836])).
26.34/3.94	thf(zip_derived_cl113, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]:
26.34/3.94	       ( (X0 @ ('#sk88' @ X0)) |  ('#form69') | ~ ('#sk2' @ X0))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])).
26.34/3.94	thf(zip_derived_cl919, plain, (~ ('#form69')),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl646])).
26.34/3.94	thf(zip_derived_cl1230, plain,
26.34/3.94	    (![X0 : (a > $o) > $o]: ( (X0 @ ('#sk88' @ X0)) | ~ ('#sk2' @ X0))),
26.34/3.94	    inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl919])).
26.34/3.94	thf(zip_derived_cl1231, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	        ('#sk46' @ X0 @ ('#sk88' @ ('#sk46' @ X0)))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl837, zip_derived_cl1230])).
26.34/3.94	thf(zip_derived_cl72, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ (((X0 @ ('#sk46' @ X0) @ '#sk17') & ('#sk46' @ X0 @ 
26.34/3.94	            (X0 @ ('#sk46' @ X0)))))
26.34/3.94	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                        ((('#sk2' @ Y0) =>
26.34/3.94	                          (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                      (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])).
26.34/3.94	thf(zip_derived_cl90, plain,
26.34/3.94	    (( ('#form72')
26.34/3.94	      | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
26.34/3.94	                      ((('#sk2' @ Y0) =>
26.34/3.94	                        (((??) @ (^[Y1 : a > $o]:
26.34/3.94	                                    (((Y1 @ '#sk17') & (Y0 @ Y1))))))))))))),
26.34/3.94	    define([status(thm)])).
26.34/3.94	thf(zip_derived_cl93, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ ('#form72')
26.34/3.94	        | ~ (((X0 @ ('#sk46' @ X0) @ '#sk17') & ('#sk46' @ X0 @ 
26.34/3.94	              (X0 @ ('#sk46' @ X0))))))),
26.34/3.94	    inference('renaming', [status(thm)], [zip_derived_cl72, zip_derived_cl90])).
26.34/3.94	thf(zip_derived_cl106, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ (X0 @ ('#sk46' @ X0) @ '#sk17')
26.34/3.94	        | ~ ('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0)))
26.34/3.94	        | ~ ('#form72'))),
26.34/3.94	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])).
26.34/3.94	thf(zip_derived_cl836, plain, ( ('#form72')),
26.34/3.94	    inference('clc', [status(thm)], [zip_derived_cl835, zip_derived_cl104])).
26.34/3.94	thf(zip_derived_cl1116, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:
26.34/3.94	       (~ (X0 @ ('#sk46' @ X0) @ '#sk17')
26.34/3.94	        | ~ ('#sk46' @ X0 @ (X0 @ ('#sk46' @ X0))))),
26.34/3.94	    inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl836])).
26.34/3.94	thf(zip_derived_cl1244, plain, (~ ('#sk88' @ ('#sk46' @ '#sk88') @ '#sk17')),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl1231, zip_derived_cl1116])).
26.34/3.94	thf(zip_derived_cl1246, plain, (~ ('#sk2' @ ('#sk46' @ '#sk88'))),
26.34/3.94	    inference('sup-', [status(thm)], [zip_derived_cl920, zip_derived_cl1244])).
26.34/3.94	thf(zip_derived_cl837, plain,
26.34/3.94	    (![X0 : ((a > $o) > $o) > a > $o]:  ('#sk2' @ ('#sk46' @ X0))),
26.34/3.94	    inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl836])).
26.34/3.94	thf(zip_derived_cl1247, plain, ($false),
26.34/3.94	    inference('demod', [status(thm)], [zip_derived_cl1246, zip_derived_cl837])).
26.34/3.94	
26.34/3.94	% SZS output end Refutation
26.34/3.94	
26.34/3.94	
26.34/3.94	% Terminating...
27.15/4.01	% Runner terminated.
27.15/4.02	% Zipperpin 1.5 exiting
27.15/4.02	EOF