0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ma0e3Jw2hD true
0.11/0.33	% Computer   : n031.cluster.edu
0.11/0.33	% Model      : x86_64 x86_64
0.11/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory     : 8042.1875MB
0.11/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1200
0.11/0.33	% WCLimit    : 120
0.11/0.33	% DateTime   : Tue Jul 13 16:02:14 EDT 2021
0.11/0.33	% CPUTime    : 
0.11/0.33	% Running portfolio for 120 s
0.11/0.33	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.11/0.33	% Number of cores: 8
0.11/0.33	% Python version: Python 3.6.8
0.11/0.33	% Running in HO mode
0.45/0.62	% Total configuration time : 828
0.45/0.62	% Estimated wc time : 983
0.45/0.62	% Estimated cpu time (8 cpus) : 122.875
0.50/0.71	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s
0.50/0.71	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s
0.50/0.71	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s
0.50/0.73	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s
17.21/2.74	% Solved by lams/15_e_short1.sh.
17.21/2.74	% running E: timeout 11 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.ma0e3Jw2hD/e_inputf1133b --cpu-limit=9 --auto-schedule -s -p
17.21/2.74	% done 20 iterations in 1.941s
17.21/2.74	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
17.21/2.74	% SZS output start Refutation
17.21/2.74	thf(a_type, type, a: $tType).
17.21/2.74	thf('#sk52_type', type, '#sk52': ((a > $o) > $o) > a > $o).
17.21/2.74	thf('#form166_type', type, '#form166': $o).
17.21/2.74	thf('#sk1_type', type, '#sk1': ((a > $o) > $o) > $o).
17.21/2.74	thf('#sk60_type', type, '#sk60': (((a > $o) > $o) > a > $o) > (a > $o) > $o).
17.21/2.74	thf('#sk51_type', type, '#sk51': a).
17.21/2.74	thf('#sk53_type', type, '#sk53': (a > $o) > $o).
17.21/2.74	thf('#form201_type', type, '#form201': $o).
17.21/2.74	thf('#sk109_type', type, '#sk109': ((a > $o) > $o) > a > $o).
17.21/2.74	thf(cTHM535, conjecture,
17.21/2.74	  (( ![Xs:( ( ( a > $o ) > $o ) > $o )]:
17.21/2.74	     ( ( ![X:( ( a > $o ) > $o )]:
17.21/2.74	         ( ( Xs @ X ) => ( ?[Xt:( a > $o )]: ( X @ Xt ) ) ) ) =>
17.21/2.74	       ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
17.21/2.74	         ( ![X:( ( a > $o ) > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) =>
17.21/2.74	   ( ![A:( ( ( a > $o ) > $o ) > $o )]:
17.21/2.74	     ( ( ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) & 
17.21/2.74	         ( ![X:( ( a > $o ) > $o )]:
17.21/2.74	           ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) ) =>
17.21/2.74	       ( ( ^[Xx:a]:
17.21/2.74	           ( ![Xa:( ( a > $o ) > $o )]:
17.21/2.74	             ( ( A @ Xa ) =>
17.21/2.74	               ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
17.21/2.74	         ( ^[Xx:a]:
17.21/2.74	           ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
17.21/2.74	             ( ![Xa:( ( a > $o ) > $o )]:
17.21/2.74	               ( ( A @ Xa ) => ( ( Xa @ ( Xf @ Xa ) ) & ( Xf @ Xa @ Xx ) ) ) ) ) ) ) ) ))).
17.21/2.74	thf(zf_stmt_0, negated_conjecture,
17.21/2.74	  (~( ( ![Xs:( ( ( a > $o ) > $o ) > $o )]:
17.21/2.74	        ( ( ![X:( ( a > $o ) > $o )]:
17.21/2.74	            ( ( Xs @ X ) => ( ?[Xt:( a > $o )]: ( X @ Xt ) ) ) ) =>
17.21/2.74	          ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
17.21/2.74	            ( ![X:( ( a > $o ) > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) =>
17.21/2.74	      ( ![A:( ( ( a > $o ) > $o ) > $o )]:
17.21/2.74	        ( ( ( ?[X:( ( a > $o ) > $o )]: ( A @ X ) ) & 
17.21/2.74	            ( ![X:( ( a > $o ) > $o )]:
17.21/2.74	              ( ( A @ X ) => ( ?[Xu:( a > $o )]: ( X @ Xu ) ) ) ) ) =>
17.21/2.74	          ( ( ^[Xx:a]:
17.21/2.74	              ( ![Xa:( ( a > $o ) > $o )]:
17.21/2.74	                ( ( A @ Xa ) =>
17.21/2.74	                  ( ?[Xb:( a > $o )]: ( ( Xb @ Xx ) & ( Xa @ Xb ) ) ) ) ) ) =
17.21/2.74	            ( ^[Xx:a]:
17.21/2.74	              ( ?[Xf:( ( ( a > $o ) > $o ) > a > $o )]:
17.21/2.74	                ( ![Xa:( ( a > $o ) > $o )]:
17.21/2.74	                  ( ( A @ Xa ) => ( ( Xa @ ( Xf @ Xa ) ) & ( Xf @ Xa @ Xx ) ) ) ) ) ) ) ) ) )),
17.21/2.74	  inference('cnf.neg', [status(esa)], [cTHM535])).
17.21/2.74	thf(zip_derived_cl0, plain,
17.21/2.74	    (~ (((((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
17.21/2.74	                     (((((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                   (((Y0 @ Y1) =>
17.21/2.74	                                     (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))) =>
17.21/2.74	                       (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                                   (((!!) @ (^[Y2 : (a > $o) > $o]:
17.21/2.74	                                               (((Y0 @ Y2) => (Y2 @ 
17.21/2.74	                                                 (Y1 @ Y2))))))))))))))) =>
17.21/2.74	         (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
17.21/2.74	                     (((((((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))) &
17.21/2.74	                         (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                     (((Y0 @ Y1) =>
17.21/2.74	                                       (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))))) =>
17.21/2.74	                       ((((^[Y1 : a]:
17.21/2.74	                             (((!!) @ (^[Y2 : (a > $o) > $o]:
17.21/2.74	                                         (((Y0 @ Y2) =>
17.21/2.74	                                           (((??) @ (^[Y3 : a > $o]:
17.21/2.74	                                                       (((Y3 @ Y1) & (Y2 @ 
17.21/2.74	                                                         Y3))))))))))))) =
17.21/2.74	                         ((^[Y1 : a]:
17.21/2.74	                             (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                                         (((!!) @ (^[Y3 : (a > $o) > $o]:
17.21/2.74	                                                     (((Y0 @ Y3) =>
17.21/2.74	                                                       (((Y3 @ (Y2 @ Y3)) &
17.21/2.74	                                                         (Y2 @ Y3 @ Y1))))))))))))))))))))))),
17.21/2.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
17.21/2.74	thf(zip_derived_cl4, plain,
17.21/2.74	    (~ (((!!) @ (^[Y0 : ((a > $o) > $o) > $o]:
17.21/2.74	                   (((((((??) @ (^[Y1 : (a > $o) > $o]: (Y0 @ Y1)))) &
17.21/2.74	                       (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                   (((Y0 @ Y1) =>
17.21/2.74	                                     (((??) @ (^[Y2 : a > $o]: (Y1 @ Y2))))))))))) =>
17.21/2.74	                     ((((^[Y1 : a]:
17.21/2.74	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
17.21/2.74	                                       (((Y0 @ Y2) =>
17.21/2.74	                                         (((??) @ (^[Y3 : a > $o]:
17.21/2.74	                                                     (((Y3 @ Y1) & (Y2 @ Y3))))))))))))) =
17.21/2.74	                       ((^[Y1 : a]:
17.21/2.74	                           (((??) @ (^[Y2 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                                       (((!!) @ (^[Y3 : (a > $o) > $o]:
17.21/2.74	                                                   (((Y0 @ Y3) =>
17.21/2.74	                                                     (((Y3 @ (Y2 @ Y3)) &
17.21/2.74	                                                       (Y2 @ Y3 @ Y1))))))))))))))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
17.21/2.74	thf(zip_derived_cl6, plain,
17.21/2.74	    (~ (((((((??) @ (^[Y0 : (a > $o) > $o]: ('#sk1' @ Y0)))) &
17.21/2.74	           (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((??) @ (^[Y1 : a > $o]: (Y0 @ Y1))))))))))) =>
17.21/2.74	         ((((^[Y0 : a]:
17.21/2.74	               (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                           ((('#sk1' @ Y1) =>
17.21/2.74	                             (((??) @ (^[Y2 : a > $o]:
17.21/2.74	                                         (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
17.21/2.74	           ((^[Y0 : a]:
17.21/2.74	               (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                           (((!!) @ (^[Y2 : (a > $o) > $o]:
17.21/2.74	                                       ((('#sk1' @ Y2) =>
17.21/2.74	                                         (((Y2 @ (Y1 @ Y2)) & (Y1 @ Y2 @ Y0)))))))))))))))))),
17.21/2.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])).
17.21/2.74	thf(zip_derived_cl9, plain,
17.21/2.74	    (~ ((((^[Y0 : a]:
17.21/2.74	             (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                         ((('#sk1' @ Y1) =>
17.21/2.74	                           (((??) @ (^[Y2 : a > $o]:
17.21/2.74	                                       (((Y2 @ Y0) & (Y1 @ Y2))))))))))))) =
17.21/2.74	         ((^[Y0 : a]:
17.21/2.74	             (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                         (((!!) @ (^[Y2 : (a > $o) > $o]:
17.21/2.74	                                     ((('#sk1' @ Y2) =>
17.21/2.74	                                       (((Y2 @ (Y1 @ Y2)) & (Y1 @ Y2 @ Y0)))))))))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
17.21/2.74	thf(zip_derived_cl13, plain,
17.21/2.74	    ((((^[Y0 : a]:
17.21/2.74	          (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y1) =>
17.21/2.74	                        (((??) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (Y1 @ Y2)))))))))))))
17.21/2.74	       != ((^[Y0 : a]:
17.21/2.74	              (((??) @ (^[Y1 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                          (((!!) @ (^[Y2 : (a > $o) > $o]:
17.21/2.74	                                      ((('#sk1' @ Y2) =>
17.21/2.74	                                        (((Y2 @ (Y1 @ Y2)) & (Y1 @ Y2 @ Y0))))))))))))))),
17.21/2.74	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])).
17.21/2.74	thf(zip_derived_cl27, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ 
17.21/2.74	                    (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                (((Y1 @ '#sk51') & (Y0 @ 
17.21/2.74	                                  (^[Y2 : a]: (Y1 @ Y2)))))))))))))
17.21/2.74	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                  ((('#sk1' @ 
17.21/2.74	                                    (^[Y2 : a > $o]:
17.21/2.74	                                       (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
17.21/2.74	                                    (((Y1 @ 
17.21/2.74	                                      (^[Y2 : a]:
17.21/2.74	                                         (Y0 @ 
17.21/2.74	                                          (^[Y3 : a > $o]:
17.21/2.74	                                             (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
17.21/2.74	                                          Y2))) &
17.21/2.74	                                      (Y0 @ 
17.21/2.74	                                      (^[Y2 : a > $o]:
17.21/2.74	                                         (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
17.21/2.74	                                      '#sk51'))))))))))))),
17.21/2.74	    inference('neg_ext', [status(thm)], [zip_derived_cl13])).
17.21/2.74	thf(zip_derived_cl28, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                  ((('#sk1' @ Y1) =>
17.21/2.74	                                    (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk51'))))))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl27])).
17.21/2.74	thf(zip_derived_cl32, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != ((^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	              (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                          ((('#sk1' @ 
17.21/2.74	                            (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
17.21/2.74	                            (((Y1 @ 
17.21/2.74	                              (^[Y2 : a]:
17.21/2.74	                                 (Y0 @ 
17.21/2.74	                                  (^[Y3 : a > $o]:
17.21/2.74	                                     (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
17.21/2.74	                                  Y2))) &
17.21/2.74	                              (Y0 @ 
17.21/2.74	                              (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
17.21/2.74	                              '#sk51'))))))))) @ 
17.21/2.74	           '#sk52'))),
17.21/2.74	    inference('quantifier_rw', [status(thm)], [zip_derived_cl28])).
17.21/2.74	thf(zip_derived_cl33, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl32])).
17.21/2.74	thf(zip_derived_cl36, plain,
17.21/2.74	    (![X-95 : (a > $o) > $o]:
17.21/2.74	       ( ((^[Y0 : (a > $o) > $o]:
17.21/2.74	             ((('#sk1' @ Y0) =>
17.21/2.74	               (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1))))))))) @ 
17.21/2.74	          X-95)
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('forall_hoist', [status(thm)], [zip_derived_cl33])).
17.21/2.74	thf(zip_derived_cl52, plain,
17.21/2.74	    (![X-95 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X-95) =>
17.21/2.74	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X-95 @ Y0))))))))
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl36])).
17.21/2.74	thf(zip_derived_cl53, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X0) =>
17.21/2.74	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X0 @ Y0))))))))
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('cannonize vars', [status(thm)], [zip_derived_cl52])).
17.21/2.74	thf(zip_derived_cl54, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       (~ ('#sk1' @ X0)
17.21/2.74	        |  (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & (X0 @ Y0))))))
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl53])).
17.21/2.74	thf(zip_derived_cl81, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk109' @ X0 @ '#sk51') & (X0 @ ('#sk109' @ X0))))
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51'))))))))
17.21/2.74	        | ~ ('#sk1' @ X0))),
17.21/2.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])).
17.21/2.74	thf(zip_derived_cl103, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#sk109' @ X0 @ '#sk51')
17.21/2.74	        | ~ ('#sk1' @ X0)
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])).
17.21/2.74	thf(zip_derived_cl126, plain,
17.21/2.74	    ((~ ('#form201')
17.21/2.74	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                     ((('#sk1' @ Y0) =>
17.21/2.74	                       (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl127, plain,
17.21/2.74	    (![X2 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X2) =>
17.21/2.74	           (((X2 @ ('#sk52' @ X2)) & ('#sk52' @ X2 @ '#sk51')))))
17.21/2.74	        | ~ ('#form201'))),
17.21/2.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl126])).
17.21/2.74	thf(zip_derived_cl146, plain,
17.21/2.74	    (![X2 : (a > $o) > $o]:
17.21/2.74	       (~ ('#sk1' @ X2)
17.21/2.74	        |  (((X2 @ ('#sk52' @ X2)) & ('#sk52' @ X2 @ '#sk51')))
17.21/2.74	        | ~ ('#form201'))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl127])).
17.21/2.74	thf(zip_derived_cl151, plain,
17.21/2.74	    (![X2 : (a > $o) > $o]:
17.21/2.74	       ( ('#sk52' @ X2 @ '#sk51') | ~ ('#form201') | ~ ('#sk1' @ X2))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl146])).
17.21/2.74	thf(zip_derived_cl28, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                  ((('#sk1' @ Y1) =>
17.21/2.74	                                    (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk51'))))))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl27])).
17.21/2.74	thf(zip_derived_cl31, plain,
17.21/2.74	    (![X-92 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ((^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	              (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                          ((('#sk1' @ Y1) =>
17.21/2.74	                            (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk51'))))))))) @ 
17.21/2.74	           X-92)
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('exists_hoist', [status(thm)], [zip_derived_cl28])).
17.21/2.74	thf(zip_derived_cl38, plain,
17.21/2.74	    (![X-92 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ (X-92 @ Y0)) & (X-92 @ Y0 @ '#sk51'))))))))
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl31])).
17.21/2.74	thf(zip_derived_cl39, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ (X0 @ Y0)) & (X0 @ Y0 @ '#sk51'))))))))
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('cannonize vars', [status(thm)], [zip_derived_cl38])).
17.21/2.74	thf(zip_derived_cl40, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ((('#sk1' @ ('#sk60' @ X0)) =>
17.21/2.74	            ((('#sk60' @ X0 @ (X0 @ ('#sk60' @ X0))) & (X0 @ 
17.21/2.74	              ('#sk60' @ X0) @ '#sk51')))))
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
17.21/2.74	thf(zip_derived_cl61, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       ( ('#sk1' @ ('#sk60' @ X0))
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
17.21/2.74	thf(zip_derived_cl87, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	        |  ('#sk1' @ ('#sk60' @ X0)))),
17.21/2.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])).
17.21/2.74	thf(zip_derived_cl109, plain,
17.21/2.74	    (( ('#form166')
17.21/2.74	      | ~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl110, plain, (( ('#sk1' @ '#sk53') |  ('#form166'))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])).
17.21/2.74	thf(zip_derived_cl150, plain,
17.21/2.74	    (![X2 : (a > $o) > $o]:
17.21/2.74	       ( (X2 @ ('#sk52' @ X2)) | ~ ('#form201') | ~ ('#sk1' @ X2))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl146])).
17.21/2.74	thf(zip_derived_cl33, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl32])).
17.21/2.74	thf(zip_derived_cl35, plain,
17.21/2.74	    ((((^[Y0 : (a > $o) > $o]:
17.21/2.74	          ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
17.21/2.74	            (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                        (((Y1 @ '#sk51') & (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))))))))) @ 
17.21/2.74	       '#sk53')
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('quantifier_rw', [status(thm)], [zip_derived_cl33])).
17.21/2.74	thf(zip_derived_cl55, plain,
17.21/2.74	    ((((('#sk1' @ '#sk53') =>
17.21/2.74	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl35])).
17.21/2.74	thf(zip_derived_cl56, plain,
17.21/2.74	    (![X-104 : (a > $o) > $o]:
17.21/2.74	       ( ((^[Y0 : (a > $o) > $o]:
17.21/2.74	             ((('#sk1' @ Y0) =>
17.21/2.74	               (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))) @ 
17.21/2.74	          X-104)
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('forall_hoist', [status(thm)], [zip_derived_cl55])).
17.21/2.74	thf(zip_derived_cl83, plain,
17.21/2.74	    (![X-104 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X-104) =>
17.21/2.74	           (((X-104 @ ('#sk52' @ X-104)) & ('#sk52' @ X-104 @ '#sk51')))))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl56])).
17.21/2.74	thf(zip_derived_cl84, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X0) =>
17.21/2.74	           (((X0 @ ('#sk52' @ X0)) & ('#sk52' @ X0 @ '#sk51')))))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('cannonize vars', [status(thm)], [zip_derived_cl83])).
17.21/2.74	thf(zip_derived_cl85, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       (~ ('#sk1' @ X0)
17.21/2.74	        |  (((X0 @ ('#sk52' @ X0)) & ('#sk52' @ X0 @ '#sk51')))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])).
17.21/2.74	thf(zip_derived_cl106, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#sk52' @ X0 @ '#sk51')
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	        | ~ ('#sk1' @ X0))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl85])).
17.21/2.74	thf(zip_derived_cl28, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((??) @ (^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                                  ((('#sk1' @ Y1) =>
17.21/2.74	                                    (((Y1 @ (Y0 @ Y1)) & (Y0 @ Y1 @ '#sk51'))))))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl27])).
17.21/2.74	thf(zip_derived_cl30, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != ((^[Y0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	              (((!!) @ (^[Y1 : (a > $o) > $o]:
17.21/2.74	                          ((('#sk1' @ 
17.21/2.74	                            (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3))))) =>
17.21/2.74	                            (((Y1 @ 
17.21/2.74	                              (^[Y2 : a]:
17.21/2.74	                                 (Y0 @ 
17.21/2.74	                                  (^[Y3 : a > $o]:
17.21/2.74	                                     (Y1 @ (^[Y4 : a]: (Y3 @ Y4)))) @ 
17.21/2.74	                                  Y2))) &
17.21/2.74	                              (Y0 @ 
17.21/2.74	                              (^[Y2 : a > $o]: (Y1 @ (^[Y3 : a]: (Y2 @ Y3)))) @ 
17.21/2.74	                              '#sk51'))))))))) @ 
17.21/2.74	           '#sk52'))),
17.21/2.74	    inference('quantifier_rw', [status(thm)], [zip_derived_cl28])).
17.21/2.74	thf(zip_derived_cl41, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl30])).
17.21/2.74	thf(zip_derived_cl45, plain,
17.21/2.74	    ((((^[Y0 : (a > $o) > $o]:
17.21/2.74	          ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
17.21/2.74	            (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                        (((Y1 @ '#sk51') & (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))))))))) @ 
17.21/2.74	       '#sk53')
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('quantifier_rw', [status(thm)], [zip_derived_cl41])).
17.21/2.74	thf(zip_derived_cl63, plain,
17.21/2.74	    ((((('#sk1' @ '#sk53') =>
17.21/2.74	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl45])).
17.21/2.74	thf(zip_derived_cl64, plain,
17.21/2.74	    (![X-106 : (a > $o) > $o]:
17.21/2.74	       ( ((^[Y0 : (a > $o) > $o]:
17.21/2.74	             ((('#sk1' @ Y0) =>
17.21/2.74	               (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))) @ 
17.21/2.74	          X-106)
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('forall_hoist', [status(thm)], [zip_derived_cl63])).
17.21/2.74	thf(zip_derived_cl90, plain,
17.21/2.74	    (![X-106 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X-106) =>
17.21/2.74	           (((X-106 @ ('#sk52' @ X-106)) & ('#sk52' @ X-106 @ '#sk51')))))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl64])).
17.21/2.74	thf(zip_derived_cl91, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X0) =>
17.21/2.74	           (((X0 @ ('#sk52' @ X0)) & ('#sk52' @ X0 @ '#sk51')))))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('cannonize vars', [status(thm)], [zip_derived_cl90])).
17.21/2.74	thf(zip_derived_cl92, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       (~ ('#sk1' @ X0)
17.21/2.74	        |  (((X0 @ ('#sk52' @ X0)) & ('#sk52' @ X0 @ '#sk51')))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
17.21/2.74	thf(zip_derived_cl114, plain,
17.21/2.74	    ((~ ('#form166')
17.21/2.74	      |  ((('#sk1' @ '#sk53') =>
17.21/2.74	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl109, plain,
17.21/2.74	    (( ('#form166')
17.21/2.74	      | ~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl131, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#form166') | ~ ('#sk1' @ X0) |  ('#sk52' @ X0 @ '#sk51'))),
17.21/2.74	    inference('renaming', [status(thm)],
17.21/2.74	              [zip_derived_cl106, zip_derived_cl114, zip_derived_cl109])).
17.21/2.74	thf(zip_derived_cl103, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#sk109' @ X0 @ '#sk51')
17.21/2.74	        | ~ ('#sk1' @ X0)
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])).
17.21/2.74	thf(zip_derived_cl126, plain,
17.21/2.74	    ((~ ('#form201')
17.21/2.74	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                     ((('#sk1' @ Y0) =>
17.21/2.74	                       (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl128, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#form201') | ~ ('#sk1' @ X0) |  ('#sk109' @ X0 @ '#sk51'))),
17.21/2.74	    inference('renaming', [status(thm)],
17.21/2.74	              [zip_derived_cl103, zip_derived_cl126])).
17.21/2.74	thf(zip_derived_cl33, plain,
17.21/2.74	    (((((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                  ((('#sk1' @ Y0) =>
17.21/2.74	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ '#sk51') & (Y0 @ Y1)))))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl32])).
17.21/2.74	thf(zip_derived_cl37, plain,
17.21/2.74	    ((((^[Y0 : (a > $o) > $o]:
17.21/2.74	          ((('#sk1' @ (^[Y1 : a > $o]: (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))) =>
17.21/2.74	            (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                        (((Y1 @ '#sk51') & (Y0 @ (^[Y2 : a]: (Y1 @ Y2))))))))))) @ 
17.21/2.74	       '#sk53')
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('quantifier_rw', [status(thm)], [zip_derived_cl33])).
17.21/2.74	thf(zip_derived_cl49, plain,
17.21/2.74	    ((((('#sk1' @ '#sk53') =>
17.21/2.74	        (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	       != (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                      ((('#sk1' @ Y0) =>
17.21/2.74	                        (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl37])).
17.21/2.74	thf(zip_derived_cl50, plain,
17.21/2.74	    (![X-102 : (a > $o) > $o]:
17.21/2.74	       ( ((^[Y0 : (a > $o) > $o]:
17.21/2.74	             ((('#sk1' @ Y0) =>
17.21/2.74	               (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))) @ 
17.21/2.74	          X-102)
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('forall_hoist', [status(thm)], [zip_derived_cl49])).
17.21/2.74	thf(zip_derived_cl78, plain,
17.21/2.74	    (![X-102 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X-102) =>
17.21/2.74	           (((X-102 @ ('#sk52' @ X-102)) & ('#sk52' @ X-102 @ '#sk51')))))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('ho_norm', [status(thm)], [zip_derived_cl50])).
17.21/2.74	thf(zip_derived_cl79, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ((('#sk1' @ X0) =>
17.21/2.74	           (((X0 @ ('#sk52' @ X0)) & ('#sk52' @ X0 @ '#sk51')))))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('cannonize vars', [status(thm)], [zip_derived_cl78])).
17.21/2.74	thf(zip_derived_cl80, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       (~ ('#sk1' @ X0)
17.21/2.74	        |  (((X0 @ ('#sk52' @ X0)) & ('#sk52' @ X0 @ '#sk51')))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
17.21/2.74	thf(zip_derived_cl101, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( (X0 @ ('#sk52' @ X0))
17.21/2.74	        |  ((('#sk1' @ '#sk53') =>
17.21/2.74	             (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	        | ~ ('#sk1' @ X0))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])).
17.21/2.74	thf(zip_derived_cl114, plain,
17.21/2.74	    ((~ ('#form166')
17.21/2.74	      |  ((('#sk1' @ '#sk53') =>
17.21/2.74	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl109, plain,
17.21/2.74	    (( ('#form166')
17.21/2.74	      | ~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl124, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#form166') | ~ ('#sk1' @ X0) |  (X0 @ ('#sk52' @ X0)))),
17.21/2.74	    inference('renaming', [status(thm)],
17.21/2.74	              [zip_derived_cl101, zip_derived_cl114, zip_derived_cl109])).
17.21/2.74	thf(zip_derived_cl111, plain,
17.21/2.74	    ((~ (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))
17.21/2.74	      |  ('#form166'))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])).
17.21/2.74	thf(zip_derived_cl134, plain,
17.21/2.74	    (![X2 : a > $o]: (~ (((X2 @ '#sk51') & ('#sk53' @ X2))) |  ('#form166'))),
17.21/2.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl111])).
17.21/2.74	thf(zip_derived_cl147, plain,
17.21/2.74	    (![X2 : a > $o]: (~ (X2 @ '#sk51') | ~ ('#sk53' @ X2) |  ('#form166'))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl134])).
17.21/2.74	thf(zip_derived_cl87, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	        |  ('#sk1' @ ('#sk60' @ X0)))),
17.21/2.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])).
17.21/2.74	thf(zip_derived_cl109, plain,
17.21/2.74	    (( ('#form166')
17.21/2.74	      | ~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl112, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ('#form166') |  ('#sk1' @ ('#sk60' @ X0)))),
17.21/2.74	    inference('renaming', [status(thm)],
17.21/2.74	              [zip_derived_cl87, zip_derived_cl109])).
17.21/2.74	thf(zip_derived_cl104, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( (X0 @ ('#sk109' @ X0))
17.21/2.74	        | ~ ('#sk1' @ X0)
17.21/2.74	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                       ((('#sk1' @ Y0) =>
17.21/2.74	                         (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])).
17.21/2.74	thf(zip_derived_cl126, plain,
17.21/2.74	    ((~ ('#form201')
17.21/2.74	      |  (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                     ((('#sk1' @ Y0) =>
17.21/2.74	                       (((Y0 @ ('#sk52' @ Y0)) & ('#sk52' @ Y0 @ '#sk51')))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl129, plain,
17.21/2.74	    (![X0 : (a > $o) > $o]:
17.21/2.74	       ( ('#form201') | ~ ('#sk1' @ X0) |  (X0 @ ('#sk109' @ X0)))),
17.21/2.74	    inference('renaming', [status(thm)],
17.21/2.74	              [zip_derived_cl104, zip_derived_cl126])).
17.21/2.74	thf(zip_derived_cl62, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ((('#sk60' @ X0 @ (X0 @ ('#sk60' @ X0))) & (X0 @ ('#sk60' @ X0) @ 
17.21/2.74	            '#sk51')))
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
17.21/2.74	thf(zip_derived_cl88, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ('#sk60' @ X0 @ (X0 @ ('#sk60' @ X0)))
17.21/2.74	        | ~ (X0 @ ('#sk60' @ X0) @ '#sk51')
17.21/2.74	        | ~ (((!!) @ (^[Y0 : (a > $o) > $o]:
17.21/2.74	                        ((('#sk1' @ Y0) =>
17.21/2.74	                          (((??) @ (^[Y1 : a > $o]:
17.21/2.74	                                      (((Y1 @ '#sk51') & (Y0 @ Y1))))))))))))),
17.21/2.74	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl62])).
17.21/2.74	thf(zip_derived_cl113, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0))))))))
17.21/2.74	        | ~ (X0 @ ('#sk60' @ X0) @ '#sk51')
17.21/2.74	        | ~ ('#sk60' @ X0 @ (X0 @ ('#sk60' @ X0))))),
17.21/2.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl88])).
17.21/2.74	thf(zip_derived_cl114, plain,
17.21/2.74	    ((~ ('#form166')
17.21/2.74	      |  ((('#sk1' @ '#sk53') =>
17.21/2.74	           (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl109, plain,
17.21/2.74	    (( ('#form166')
17.21/2.74	      | ~ ((('#sk1' @ '#sk53') =>
17.21/2.74	            (((??) @ (^[Y0 : a > $o]: (((Y0 @ '#sk51') & ('#sk53' @ Y0)))))))))),
17.21/2.74	    define([status(thm)])).
17.21/2.74	thf(zip_derived_cl135, plain,
17.21/2.74	    (![X0 : ((a > $o) > $o) > a > $o]:
17.21/2.74	       (~ ('#form166')
17.21/2.74	        | ~ ('#sk60' @ X0 @ (X0 @ ('#sk60' @ X0)))
17.21/2.74	        | ~ (X0 @ ('#sk60' @ X0) @ '#sk51'))),
17.21/2.74	    inference('renaming', [status(thm)],
17.21/2.74	              [zip_derived_cl113, zip_derived_cl114, zip_derived_cl109])).
17.21/2.74	thf(zip_derived_cl611, plain, ($false),
17.21/2.74	    inference('eprover', [status(thm)],
17.21/2.74	              [zip_derived_cl151, zip_derived_cl110, zip_derived_cl150, 
17.21/2.74	               zip_derived_cl131, zip_derived_cl128, zip_derived_cl124, 
17.21/2.74	               zip_derived_cl147, zip_derived_cl112, zip_derived_cl129, 
17.21/2.74	               zip_derived_cl135])).
17.21/2.74	
17.21/2.74	% SZS output end Refutation
17.21/2.74	
17.21/2.74	
17.21/2.74	% Terminating...
17.58/2.89	% Runner terminated.
17.58/2.90	% Zipperpin 1.5 exiting
17.58/2.92	EOF