0.00/0.09	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.khOutRYapV true
0.09/0.29	% Computer : n021.cluster.edu
0.09/0.29	% Model    : x86_64 x86_64
0.09/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	% Memory   : 8042.1875MB
0.09/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.29	% CPULimit : 960
0.14/0.29	% WCLimit  : 120
0.14/0.29	% DateTime : Tue Aug  9 04:14:20 EDT 2022
0.14/0.29	% CPUTime  : 
0.14/0.29	% Running portfolio for 960 s
0.14/0.29	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.14/0.30	% Number of cores: 8
0.14/0.30	% Python version: Python 3.6.8
0.14/0.30	% Running in HO mode
0.14/0.52	% Total configuration time : 828
0.14/0.52	% Estimated wc time : 1656
0.14/0.52	% Estimated cpu time (8 cpus) : 207.0
1.10/0.63	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
1.10/0.63	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
1.10/0.63	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
1.10/0.63	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
1.17/0.63	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
1.17/0.64	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
1.17/0.64	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
1.17/0.64	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
1.54/1.02	% Solved by lams/20_acsne_simpl.sh.
1.54/1.02	% done 543 iterations in 0.334s
1.54/1.02	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.54/1.02	% SZS output start Refutation
1.54/1.02	thf(meuclidean_type, type, meuclidean: ($i > $i > $o) > $o).
1.54/1.02	thf('#sk10_type', type, '#sk10': $i).
1.54/1.02	thf('#sk11_type', type, '#sk11': $i).
1.54/1.02	thf('#form12_type', type, '#form12': $o).
1.54/1.02	thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o).
1.54/1.02	thf('#sk13_type', type, '#sk13': $i).
1.54/1.02	thf('#sk8_type', type, '#sk8': $i).
1.54/1.02	thf('#sk14_type', type, '#sk14': $i).
1.54/1.02	thf('#sk1_type', type, '#sk1': $i > $i > $o).
1.54/1.02	thf('#sk5_type', type, '#sk5': $i).
1.54/1.02	thf('#sk4_type', type, '#sk4': $i).
1.54/1.02	thf(mtransitive_type, type, mtransitive: ($i > $i > $o) > $o).
1.54/1.02	thf('#sk6_type', type, '#sk6': $i).
1.54/1.02	thf(mserial_type, type, mserial: ($i > $i > $o) > $o).
1.54/1.02	thf(msymmetric_type, type, msymmetric: ($i > $i > $o) > $o).
1.54/1.02	thf('#form2_type', type, '#form2': $o).
1.54/1.02	thf('#sk7_type', type, '#sk7': $i).
1.54/1.02	thf('#sk9_type', type, '#sk9': $i).
1.54/1.02	thf('#sk3_type', type, '#sk3': $i > $i).
1.54/1.02	thf(meuclidean, axiom,(( meuclidean  ) =
1.54/1.02	  (^[R:( $i > $i > $o )]:
1.54/1.02	   ( ![S:$i,T:$i,U:$i]:
1.54/1.02	     ( ( ( R @ S @ T ) & ( R @ S @ U ) ) => ( R @ T @ U ) ) )))).
1.54/1.02	thf('0', plain,
1.54/1.02	    (( meuclidean ) =
1.54/1.02	     ( ^[R:( $i > $i > $o )]:
1.54/1.02	       ( ![S:$i,T:$i,U:$i]:
1.54/1.02	         ( ( ( R @ S @ T ) & ( R @ S @ U ) ) => ( R @ T @ U ) ) ) )),
1.54/1.02	    inference('simplify_rw_rule', [status(thm)], [meuclidean])).
1.54/1.02	thf('1', plain,
1.54/1.02	    (( meuclidean ) =
1.54/1.02	     ( ^[V_1:( $i > $i > $o )]:
1.54/1.02	       ( ![X4:$i,X6:$i,X8:$i]:
1.54/1.02	         ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X4 @ X8 ) ) => ( V_1 @ X6 @ X8 ) ) ) )),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(mtransitive, axiom,(( mtransitive  ) =
1.54/1.02	  (^[R:( $i > $i > $o )]:
1.54/1.02	   ( ![S:$i,T:$i,U:$i]:
1.54/1.02	     ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) )))).
1.54/1.02	thf('2', plain,
1.54/1.02	    (( mtransitive ) =
1.54/1.02	     ( ^[R:( $i > $i > $o )]:
1.54/1.02	       ( ![S:$i,T:$i,U:$i]:
1.54/1.02	         ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) ) )),
1.54/1.02	    inference('simplify_rw_rule', [status(thm)], [mtransitive])).
1.54/1.02	thf('3', plain,
1.54/1.02	    (( mtransitive ) =
1.54/1.02	     ( ^[V_1:( $i > $i > $o )]:
1.54/1.02	       ( ![X4:$i,X6:$i,X8:$i]:
1.54/1.02	         ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(mserial, axiom,(( mserial  ) =
1.54/1.02	  (^[R:( $i > $i > $o )]: ( ![S:$i]: ( ?[T:$i]: ( R @ S @ T ) ) )))).
1.54/1.02	thf('4', plain,
1.54/1.02	    (( mserial ) =
1.54/1.02	     ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( ?[T:$i]: ( R @ S @ T ) ) ) )),
1.54/1.02	    inference('simplify_rw_rule', [status(thm)], [mserial])).
1.54/1.02	thf('5', plain,
1.54/1.02	    (( mserial ) =
1.54/1.02	     ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( ?[X6:$i]: ( V_1 @ X4 @ X6 ) ) ) )),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(msymmetric, axiom,(( msymmetric  ) =
1.54/1.02	  (^[R:( $i > $i > $o )]:
1.54/1.02	   ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) )))).
1.54/1.02	thf('6', plain,
1.54/1.02	    (( msymmetric ) =
1.54/1.02	     ( ^[R:( $i > $i > $o )]:
1.54/1.02	       ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) ) )),
1.54/1.02	    inference('simplify_rw_rule', [status(thm)], [msymmetric])).
1.54/1.02	thf('7', plain,
1.54/1.02	    (( msymmetric ) =
1.54/1.02	     ( ^[V_1:( $i > $i > $o )]:
1.54/1.02	       ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_1 @ X6 @ X4 ) ) ) )),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(mreflexive, axiom,(( mreflexive  ) =
1.54/1.02	  (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))).
1.54/1.02	thf('8', plain,
1.54/1.02	    (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )),
1.54/1.02	    inference('simplify_rw_rule', [status(thm)], [mreflexive])).
1.54/1.02	thf('9', plain,
1.54/1.02	    (( mreflexive ) =
1.54/1.02	     ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(conj, conjecture,
1.54/1.02	  (![R:( $i > $i > $o )]:
1.54/1.02	   ( ( ( meuclidean @ R ) & ( mreflexive @ R ) ) <=>
1.54/1.02	     ( ( msymmetric @ R ) & ( mtransitive @ R ) & ( mserial @ R ) ) ))).
1.54/1.02	thf(zf_stmt_0, conjecture,
1.54/1.02	  (![X4:( $i > $i > $o )]:
1.54/1.02	   ( ( ( ![X12:$i]: ( X4 @ X12 @ X12 ) ) & 
1.54/1.02	       ( ![X6:$i,X8:$i,X10:$i]:
1.54/1.02	         ( ( ( X4 @ X6 @ X10 ) & ( X4 @ X6 @ X8 ) ) => ( X4 @ X8 @ X10 ) ) ) ) <=>
1.54/1.02	     ( ( ![X24:$i]: ( ?[X26:$i]: ( X4 @ X24 @ X26 ) ) ) & 
1.54/1.02	       ( ![X18:$i,X20:$i,X22:$i]:
1.54/1.02	         ( ( ( X4 @ X20 @ X22 ) & ( X4 @ X18 @ X20 ) ) => ( X4 @ X18 @ X22 ) ) ) & 
1.54/1.02	       ( ![X14:$i,X16:$i]: ( ( X4 @ X14 @ X16 ) => ( X4 @ X16 @ X14 ) ) ) ) ))).
1.54/1.02	thf(zf_stmt_1, negated_conjecture,
1.54/1.02	  (~( ![X4:( $i > $i > $o )]:
1.54/1.02	      ( ( ( ![X12:$i]: ( X4 @ X12 @ X12 ) ) & 
1.54/1.02	          ( ![X6:$i,X8:$i,X10:$i]:
1.54/1.02	            ( ( ( X4 @ X6 @ X10 ) & ( X4 @ X6 @ X8 ) ) => ( X4 @ X8 @ X10 ) ) ) ) <=>
1.54/1.02	        ( ( ![X24:$i]: ( ?[X26:$i]: ( X4 @ X24 @ X26 ) ) ) & 
1.54/1.02	          ( ![X18:$i,X20:$i,X22:$i]:
1.54/1.02	            ( ( ( X4 @ X20 @ X22 ) & ( X4 @ X18 @ X20 ) ) =>
1.54/1.02	              ( X4 @ X18 @ X22 ) ) ) & 
1.54/1.02	          ( ![X14:$i,X16:$i]: ( ( X4 @ X14 @ X16 ) => ( X4 @ X16 @ X14 ) ) ) ) ) )),
1.54/1.02	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
1.54/1.02	thf(zip_derived_cl0, plain,
1.54/1.02	    (~ (((!!) @ (^[Y0 : $i > $i > $o]:
1.54/1.02	                   (((((((!!) @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) &
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               (((!!) @ (^[Y3 : $i]:
1.54/1.02	                                                           (((((Y0 @ Y1 @ 
1.54/1.02	                                                               Y3) & (Y0 @ 
1.54/1.02	                                                               Y1 @ Y2))) =>
1.54/1.02	                                                             (Y0 @ Y2 @ Y3)))))))))))))) <=>
1.54/1.02	                     (((((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((??) @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2))))))) & 
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               (((!!) @ (^[Y3 : $i]:
1.54/1.02	                                                           (((((Y0 @ Y2 @ 
1.54/1.02	                                                               Y3) & (Y0 @ 
1.54/1.02	                                                               Y1 @ Y2))) =>
1.54/1.02	                                                             (Y0 @ Y1 @ Y3)))))))))))) & 
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               (((Y0 @ Y1 @ Y2) => (Y0 @ 
1.54/1.02	                                                 Y2 @ Y1))))))))))))))))),
1.54/1.02	    inference('cnf', [status(esa)], [zf_stmt_1])).
1.54/1.02	thf(zip_derived_cl1, plain,
1.54/1.02	    (~ (((((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y1 @ Y2)))))))))))))) <=>
1.54/1.02	         (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))))))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
1.54/1.02	thf(zip_derived_cl2, plain,
1.54/1.02	    (((((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	        (((!!) @ (^[Y0 : $i]:
1.54/1.02	                    (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                            ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                              ('#sk1' @ Y1 @ Y2))))))))))))))
1.54/1.02	       != (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0))))))))))))),
1.54/1.02	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
1.54/1.02	thf(zip_derived_cl3, plain,
1.54/1.02	    (( (((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	         (((!!) @ (^[Y0 : $i]:
1.54/1.02	                     (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                 (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                             ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                               ('#sk1' @ Y1 @ Y2))))))))))))))
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    inference('eq_elim', [status(thm)], [zip_derived_cl2])).
1.54/1.02	thf(zip_derived_cl5, plain,
1.54/1.02	    (( (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])).
1.54/1.02	thf(zip_derived_cl7, plain,
1.54/1.02	    ((~ ('#form2')
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl8, plain,
1.54/1.02	    (( (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))))))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])).
1.54/1.02	thf(zip_derived_cl14, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( (((??) @ (^[Y0 : $i]: ('#sk1' @ X2 @ Y0)))) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
1.54/1.02	thf(zip_derived_cl18, plain,
1.54/1.02	    (![X2 : $i]: ( ('#sk1' @ X2 @ ('#sk3' @ X2)) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])).
1.54/1.02	thf(zip_derived_cl18, plain,
1.54/1.02	    (![X2 : $i]: ( ('#sk1' @ X2 @ ('#sk3' @ X2)) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])).
1.54/1.02	thf(zip_derived_cl10, plain,
1.54/1.02	    (( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                   (((!!) @ (^[Y1 : $i]:
1.54/1.02	                               ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])).
1.54/1.02	thf(zip_derived_cl16, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ Y0 @ X2))))))
1.54/1.02	        | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
1.54/1.02	thf(zip_derived_cl20, plain,
1.54/1.02	    (![X2 : $i, X4 : $i]:
1.54/1.02	       ( ((('#sk1' @ X2 @ X4) => ('#sk1' @ X4 @ X2))) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])).
1.54/1.02	thf(zip_derived_cl23, plain,
1.54/1.02	    (![X2 : $i, X4 : $i]:
1.54/1.02	       (~ ('#sk1' @ X2 @ X4) |  ('#sk1' @ X4 @ X2) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
1.54/1.02	thf(zip_derived_cl29, plain,
1.54/1.02	    (![X0 : $i]:
1.54/1.02	       (~ ('#form2') | ~ ('#form2') |  ('#sk1' @ ('#sk3' @ X0) @ X0))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl23])).
1.54/1.02	thf(zip_derived_cl35, plain,
1.54/1.02	    (![X0 : $i]: ( ('#sk1' @ ('#sk3' @ X0) @ X0) | ~ ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl29])).
1.54/1.02	thf(zip_derived_cl9, plain,
1.54/1.02	    (( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                   (((!!) @ (^[Y1 : $i]:
1.54/1.02	                               (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                           ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                               ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                             ('#sk1' @ Y0 @ Y2))))))))))))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])).
1.54/1.02	thf(zip_derived_cl15, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                     (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                 ((((('#sk1' @ Y0 @ Y1) & ('#sk1' @ X2 @ Y0))) =>
1.54/1.02	                                   ('#sk1' @ X2 @ Y1)))))))))
1.54/1.02	        | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
1.54/1.02	thf(zip_derived_cl19, plain,
1.54/1.02	    (![X2 : $i, X4 : $i]:
1.54/1.02	       ( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                     ((((('#sk1' @ X4 @ Y0) & ('#sk1' @ X2 @ X4))) =>
1.54/1.02	                       ('#sk1' @ X2 @ Y0))))))
1.54/1.02	        | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
1.54/1.02	thf(zip_derived_cl22, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       ( ((((('#sk1' @ X4 @ X6) & ('#sk1' @ X2 @ X4))) => ('#sk1' @ X2 @ X6)))
1.54/1.02	        | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
1.54/1.02	thf(zip_derived_cl25, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       (~ ((('#sk1' @ X4 @ X6) & ('#sk1' @ X2 @ X4)))
1.54/1.02	        |  ('#sk1' @ X2 @ X6)
1.54/1.02	        | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])).
1.54/1.02	thf(zip_derived_cl27, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       (~ ('#sk1' @ X4 @ X6)
1.54/1.02	        | ~ ('#sk1' @ X2 @ X4)
1.54/1.02	        | ~ ('#form2')
1.54/1.02	        |  ('#sk1' @ X2 @ X6))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])).
1.54/1.02	thf(zip_derived_cl53, plain,
1.54/1.02	    (![X0 : $i, X1 : $i]:
1.54/1.02	       (~ ('#form2')
1.54/1.02	        |  ('#sk1' @ X1 @ X0)
1.54/1.02	        | ~ ('#form2')
1.54/1.02	        | ~ ('#sk1' @ X1 @ ('#sk3' @ X0)))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl27])).
1.54/1.02	thf(zip_derived_cl63, plain,
1.54/1.02	    (![X0 : $i, X1 : $i]:
1.54/1.02	       (~ ('#sk1' @ X1 @ ('#sk3' @ X0)) |  ('#sk1' @ X1 @ X0) | ~ ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl53])).
1.54/1.02	thf(zip_derived_cl71, plain,
1.54/1.02	    (![X0 : $i]: (~ ('#form2') | ~ ('#form2') |  ('#sk1' @ X0 @ X0))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl63])).
1.54/1.02	thf(zip_derived_cl80, plain,
1.54/1.02	    (![X0 : $i]: ( ('#sk1' @ X0 @ X0) | ~ ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl71])).
1.54/1.02	thf(zip_derived_cl5, plain,
1.54/1.02	    (( (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])).
1.54/1.02	thf(zip_derived_cl7, plain,
1.54/1.02	    ((~ ('#form2')
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl11, plain,
1.54/1.02	    (( ('#form2') |  (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))))),
1.54/1.02	    inference('renaming', [status(thm)], [zip_derived_cl5, zip_derived_cl7])).
1.54/1.02	thf(zip_derived_cl13, plain,
1.54/1.02	    (![X2 : $i]: ( ('#sk1' @ X2 @ X2) |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
1.54/1.02	thf(zip_derived_cl87, plain, (![X0 : $i]:  ('#sk1' @ X0 @ X0)),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl13])).
1.54/1.02	thf(zip_derived_cl2, plain,
1.54/1.02	    (((((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	        (((!!) @ (^[Y0 : $i]:
1.54/1.02	                    (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                            ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                              ('#sk1' @ Y1 @ Y2))))))))))))))
1.54/1.02	       != (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0))))))))))))),
1.54/1.02	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
1.54/1.02	thf(zip_derived_cl4, plain,
1.54/1.02	    ((~ (((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	          (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y1 @ Y2))))))))))))))
1.54/1.02	      | ~ (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0))))))))))))),
1.54/1.02	    inference('eq_elim', [status(thm)], [zip_derived_cl2])).
1.54/1.02	thf(zip_derived_cl103, plain,
1.54/1.02	    (( ('#form2')
1.54/1.02	      | ~ (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0))))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl104, plain,
1.54/1.02	    ((~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1)))))))
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y0 @ Y2))))))))))))
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))
1.54/1.02	      |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl103])).
1.54/1.02	thf(zip_derived_cl107, plain,
1.54/1.02	    ((~ (((??) @ (^[Y0 : $i]: ('#sk1' @ '#sk4' @ Y0))))
1.54/1.02	      |  ('#form2')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y0 @ Y2)))))))))))))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl104])).
1.54/1.02	thf(zip_derived_cl109, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2))))))))))))
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl107])).
1.54/1.02	thf(zip_derived_cl112, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((((('#sk1' @ Y0 @ Y1) & ('#sk1' @ 
1.54/1.02	                                      '#sk7' @ Y0))) =>
1.54/1.02	                                    ('#sk1' @ '#sk7' @ Y1)))))))))
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl109])).
1.54/1.02	thf(zip_derived_cl114, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      ((((('#sk1' @ '#sk9' @ Y0) & ('#sk1' @ '#sk7' @ '#sk9'))) =>
1.54/1.02	                        ('#sk1' @ '#sk7' @ Y0))))))
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl112])).
1.54/1.02	thf(zip_derived_cl116, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ((((('#sk1' @ '#sk9' @ '#sk11') & ('#sk1' @ '#sk7' @ '#sk9'))) =>
1.54/1.02	            ('#sk1' @ '#sk7' @ '#sk11')))
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl114])).
1.54/1.02	thf(zip_derived_cl120, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#sk1' @ '#sk7' @ '#sk11')
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])).
1.54/1.02	thf(zip_derived_cl120, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#sk1' @ '#sk7' @ '#sk11')
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])).
1.54/1.02	thf(zip_derived_cl125, plain,
1.54/1.02	    (( ('#form12')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl127, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#form12')
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ ('#sk1' @ '#sk7' @ '#sk11'))),
1.54/1.02	    inference('renaming', [status(thm)],
1.54/1.02	              [zip_derived_cl120, zip_derived_cl125])).
1.54/1.02	thf(zip_derived_cl125, plain,
1.54/1.02	    (( ('#form12')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl126, plain,
1.54/1.02	    ((~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                    ((('#sk1' @ '#sk13' @ Y0) => ('#sk1' @ Y0 @ '#sk13'))))))
1.54/1.02	      |  ('#form12'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl125])).
1.54/1.02	thf(zip_derived_cl130, plain,
1.54/1.02	    ((~ ((('#sk1' @ '#sk13' @ '#sk14') => ('#sk1' @ '#sk14' @ '#sk13')))
1.54/1.02	      |  ('#form12'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])).
1.54/1.02	thf(zip_derived_cl131, plain,
1.54/1.02	    (( ('#sk1' @ '#sk13' @ '#sk14') |  ('#form12'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])).
1.54/1.02	thf(zip_derived_cl13, plain,
1.54/1.02	    (![X2 : $i]: ( ('#sk1' @ X2 @ X2) |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
1.54/1.02	thf(zip_derived_cl6, plain,
1.54/1.02	    (( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                   (((!!) @ (^[Y1 : $i]:
1.54/1.02	                               (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                           ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                               ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                             ('#sk1' @ Y1 @ Y2))))))))))))
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])).
1.54/1.02	thf(zip_derived_cl7, plain,
1.54/1.02	    ((~ ('#form2')
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl12, plain,
1.54/1.02	    (( ('#form2')
1.54/1.02	      |  (((!!) @ (^[Y0 : $i]:
1.54/1.02	                     (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                 (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                             ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                               ('#sk1' @ Y1 @ Y2)))))))))))))),
1.54/1.02	    inference('renaming', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
1.54/1.02	thf(zip_derived_cl17, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                     (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                 ((((('#sk1' @ X2 @ Y1) & ('#sk1' @ X2 @ Y0))) =>
1.54/1.02	                                   ('#sk1' @ Y0 @ Y1)))))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])).
1.54/1.02	thf(zip_derived_cl21, plain,
1.54/1.02	    (![X2 : $i, X4 : $i]:
1.54/1.02	       ( (((!!) @ (^[Y0 : $i]:
1.54/1.02	                     ((((('#sk1' @ X2 @ Y0) & ('#sk1' @ X2 @ X4))) =>
1.54/1.02	                       ('#sk1' @ X4 @ Y0))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])).
1.54/1.02	thf(zip_derived_cl24, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       ( ((((('#sk1' @ X2 @ X6) & ('#sk1' @ X2 @ X4))) => ('#sk1' @ X4 @ X6)))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])).
1.54/1.02	thf(zip_derived_cl26, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       (~ ((('#sk1' @ X2 @ X6) & ('#sk1' @ X2 @ X4)))
1.54/1.02	        |  ('#sk1' @ X4 @ X6)
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])).
1.54/1.02	thf(zip_derived_cl28, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       (~ ('#sk1' @ X2 @ X6)
1.54/1.02	        | ~ ('#sk1' @ X2 @ X4)
1.54/1.02	        |  ('#form2')
1.54/1.02	        |  ('#sk1' @ X4 @ X6))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
1.54/1.02	thf(zip_derived_cl38, plain,
1.54/1.02	    (![X0 : $i, X1 : $i]:
1.54/1.02	       ( ('#form2')
1.54/1.02	        |  ('#sk1' @ X1 @ X0)
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ ('#sk1' @ X0 @ X1))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
1.54/1.02	thf(zip_derived_cl45, plain,
1.54/1.02	    (![X0 : $i, X1 : $i]:
1.54/1.02	       (~ ('#sk1' @ X0 @ X1) |  ('#sk1' @ X1 @ X0) |  ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl38])).
1.54/1.02	thf(zip_derived_cl23, plain,
1.54/1.02	    (![X2 : $i, X4 : $i]:
1.54/1.02	       (~ ('#sk1' @ X2 @ X4) |  ('#sk1' @ X4 @ X2) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
1.54/1.02	thf(zip_derived_cl577, plain,
1.54/1.02	    (![X0 : $i, X1 : $i]: ( ('#sk1' @ X1 @ X0) | ~ ('#sk1' @ X0 @ X1))),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl45, zip_derived_cl23])).
1.54/1.02	thf(zip_derived_cl578, plain,
1.54/1.02	    (( ('#form12') |  ('#sk1' @ '#sk14' @ '#sk13'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl577])).
1.54/1.02	thf(zip_derived_cl132, plain,
1.54/1.02	    ((~ ('#sk1' @ '#sk14' @ '#sk13') |  ('#form12'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])).
1.54/1.02	thf(zip_derived_cl608, plain, ( ('#form12')),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl578, zip_derived_cl132])).
1.54/1.02	thf(zip_derived_cl1130, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( ('#form2')
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ ('#sk1' @ '#sk7' @ '#sk11'))),
1.54/1.02	    inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl608])).
1.54/1.02	thf(zip_derived_cl4, plain,
1.54/1.02	    ((~ (((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	          (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y1 @ Y2))))))))))))))
1.54/1.02	      | ~ (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0))))))))))))),
1.54/1.02	    inference('eq_elim', [status(thm)], [zip_derived_cl2])).
1.54/1.02	thf(zip_derived_cl103, plain,
1.54/1.02	    (( ('#form2')
1.54/1.02	      | ~ (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0))))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl7, plain,
1.54/1.02	    ((~ ('#form2')
1.54/1.02	      |  (((((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: ('#sk1' @ Y0 @ Y1))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                               ((((('#sk1' @ Y1 @ Y2) &
1.54/1.02	                                                   ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                 ('#sk1' @ Y0 @ Y2)))))))))))) & 
1.54/1.02	           (((!!) @ (^[Y0 : $i]:
1.54/1.02	                       (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                   ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl105, plain,
1.54/1.02	    ((~ ('#form2')
1.54/1.02	      | ~ (((((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))) &
1.54/1.02	            (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                                ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                    ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                  ('#sk1' @ Y1 @ Y2)))))))))))))))),
1.54/1.02	    inference('renaming', [status(thm)],
1.54/1.02	              [zip_derived_cl4, zip_derived_cl103, zip_derived_cl7])).
1.54/1.02	thf(zip_derived_cl106, plain,
1.54/1.02	    ((~ (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y1 @ Y2))))))))))))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl105])).
1.54/1.02	thf(zip_derived_cl108, plain,
1.54/1.02	    ((~ ('#sk1' @ '#sk5' @ '#sk5')
1.54/1.02	      | ~ ('#form2')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y1 @ Y2)))))))))))))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl106])).
1.54/1.02	thf(zip_derived_cl87, plain, (![X0 : $i]:  ('#sk1' @ X0 @ X0)),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl13])).
1.54/1.02	thf(zip_derived_cl110, plain,
1.54/1.02	    ((~ ('#form2')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  (((!!) @ (^[Y2 : $i]:
1.54/1.02	                                              ((((('#sk1' @ Y0 @ Y2) &
1.54/1.02	                                                  ('#sk1' @ Y0 @ Y1))) =>
1.54/1.02	                                                ('#sk1' @ Y1 @ Y2)))))))))))))),
1.54/1.02	    inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl87])).
1.54/1.02	thf(zip_derived_cl111, plain,
1.54/1.02	    ((~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                    (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                ((((('#sk1' @ '#sk6' @ Y1) & ('#sk1' @ 
1.54/1.02	                                    '#sk6' @ Y0))) =>
1.54/1.02	                                  ('#sk1' @ Y0 @ Y1)))))))))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl110])).
1.54/1.02	thf(zip_derived_cl113, plain,
1.54/1.02	    ((~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                    ((((('#sk1' @ '#sk6' @ Y0) & ('#sk1' @ '#sk6' @ '#sk8'))) =>
1.54/1.02	                      ('#sk1' @ '#sk8' @ Y0))))))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl111])).
1.54/1.02	thf(zip_derived_cl115, plain,
1.54/1.02	    ((~ ((((('#sk1' @ '#sk6' @ '#sk10') & ('#sk1' @ '#sk6' @ '#sk8'))) =>
1.54/1.02	          ('#sk1' @ '#sk8' @ '#sk10')))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl113])).
1.54/1.02	thf(zip_derived_cl117, plain,
1.54/1.02	    (( ((('#sk1' @ '#sk6' @ '#sk10') & ('#sk1' @ '#sk6' @ '#sk8')))
1.54/1.02	      | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl115])).
1.54/1.02	thf(zip_derived_cl122, plain, (( ('#sk1' @ '#sk6' @ '#sk8') | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])).
1.54/1.02	thf(zip_derived_cl23, plain,
1.54/1.02	    (![X2 : $i, X4 : $i]:
1.54/1.02	       (~ ('#sk1' @ X2 @ X4) |  ('#sk1' @ X4 @ X2) | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
1.54/1.02	thf(zip_derived_cl151, plain,
1.54/1.02	    ((~ ('#form2') | ~ ('#form2') |  ('#sk1' @ '#sk8' @ '#sk6'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl23])).
1.54/1.02	thf(zip_derived_cl156, plain, (( ('#sk1' @ '#sk8' @ '#sk6') | ~ ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl151])).
1.54/1.02	thf(zip_derived_cl121, plain,
1.54/1.02	    (( ('#sk1' @ '#sk6' @ '#sk10') | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])).
1.54/1.02	thf(zip_derived_cl27, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       (~ ('#sk1' @ X4 @ X6)
1.54/1.02	        | ~ ('#sk1' @ X2 @ X4)
1.54/1.02	        | ~ ('#form2')
1.54/1.02	        |  ('#sk1' @ X2 @ X6))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])).
1.54/1.02	thf(zip_derived_cl140, plain,
1.54/1.02	    (![X0 : $i]:
1.54/1.02	       (~ ('#form2')
1.54/1.02	        |  ('#sk1' @ X0 @ '#sk10')
1.54/1.02	        | ~ ('#form2')
1.54/1.02	        | ~ ('#sk1' @ X0 @ '#sk6'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl27])).
1.54/1.02	thf(zip_derived_cl145, plain,
1.54/1.02	    (![X0 : $i]:
1.54/1.02	       (~ ('#sk1' @ X0 @ '#sk6') |  ('#sk1' @ X0 @ '#sk10') | ~ ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl140])).
1.54/1.02	thf(zip_derived_cl1710, plain,
1.54/1.02	    ((~ ('#form2') | ~ ('#form2') |  ('#sk1' @ '#sk8' @ '#sk10'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl145])).
1.54/1.02	thf(zip_derived_cl1728, plain,
1.54/1.02	    (( ('#sk1' @ '#sk8' @ '#sk10') | ~ ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl1710])).
1.54/1.02	thf(zip_derived_cl118, plain,
1.54/1.02	    ((~ ('#sk1' @ '#sk8' @ '#sk10') | ~ ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl115])).
1.54/1.02	thf(zip_derived_cl1744, plain, (~ ('#form2')),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl1728, zip_derived_cl118])).
1.54/1.02	thf(zip_derived_cl1746, plain,
1.54/1.02	    (![X2 : $i]: (~ ('#sk1' @ '#sk4' @ X2) | ~ ('#sk1' @ '#sk7' @ '#sk11'))),
1.54/1.02	    inference('demod', [status(thm)],
1.54/1.02	              [zip_derived_cl1130, zip_derived_cl1744])).
1.54/1.02	thf(zip_derived_cl87, plain, (![X0 : $i]:  ('#sk1' @ X0 @ X0)),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl13])).
1.54/1.02	thf(zip_derived_cl119, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( ((('#sk1' @ '#sk9' @ '#sk11') & ('#sk1' @ '#sk7' @ '#sk9')))
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        |  ('#form2'))),
1.54/1.02	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])).
1.54/1.02	thf(zip_derived_cl124, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( ('#sk1' @ '#sk7' @ '#sk9')
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl119])).
1.54/1.02	thf(zip_derived_cl125, plain,
1.54/1.02	    (( ('#form12')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl129, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#form12')
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        |  ('#form2')
1.54/1.02	        |  ('#sk1' @ '#sk7' @ '#sk9'))),
1.54/1.02	    inference('renaming', [status(thm)],
1.54/1.02	              [zip_derived_cl124, zip_derived_cl125])).
1.54/1.02	thf(zip_derived_cl608, plain, ( ('#form12')),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl578, zip_derived_cl132])).
1.54/1.02	thf(zip_derived_cl1512, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#sk1' @ '#sk4' @ X2) |  ('#form2') |  ('#sk1' @ '#sk7' @ '#sk9'))),
1.54/1.02	    inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl608])).
1.54/1.02	thf(zip_derived_cl1516, plain, (( ('#sk1' @ '#sk7' @ '#sk9') |  ('#form2'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl1512])).
1.54/1.02	thf(zip_derived_cl577, plain,
1.54/1.02	    (![X0 : $i, X1 : $i]: ( ('#sk1' @ X1 @ X0) | ~ ('#sk1' @ X0 @ X1))),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl45, zip_derived_cl23])).
1.54/1.02	thf(zip_derived_cl1522, plain, (( ('#form2') |  ('#sk1' @ '#sk9' @ '#sk7'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl1516, zip_derived_cl577])).
1.54/1.02	thf(zip_derived_cl1744, plain, (~ ('#form2')),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl1728, zip_derived_cl118])).
1.54/1.02	thf(zip_derived_cl1750, plain, ( ('#sk1' @ '#sk9' @ '#sk7')),
1.54/1.02	    inference('demod', [status(thm)],
1.54/1.02	              [zip_derived_cl1522, zip_derived_cl1744])).
1.54/1.02	thf(zip_derived_cl87, plain, (![X0 : $i]:  ('#sk1' @ X0 @ X0)),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl80, zip_derived_cl13])).
1.54/1.02	thf(zip_derived_cl123, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       ( ('#sk1' @ '#sk9' @ '#sk11')
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                        (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                    ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ 
1.54/1.02	                                      Y0)))))))))
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl119])).
1.54/1.02	thf(zip_derived_cl125, plain,
1.54/1.02	    (( ('#form12')
1.54/1.02	      | ~ (((!!) @ (^[Y0 : $i]:
1.54/1.02	                      (((!!) @ (^[Y1 : $i]:
1.54/1.02	                                  ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))),
1.54/1.02	    define([status(thm)])).
1.54/1.02	thf(zip_derived_cl128, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#form12')
1.54/1.02	        | ~ ('#sk1' @ '#sk4' @ X2)
1.54/1.02	        |  ('#form2')
1.54/1.02	        |  ('#sk1' @ '#sk9' @ '#sk11'))),
1.54/1.02	    inference('renaming', [status(thm)],
1.54/1.02	              [zip_derived_cl123, zip_derived_cl125])).
1.54/1.02	thf(zip_derived_cl608, plain, ( ('#form12')),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl578, zip_derived_cl132])).
1.54/1.02	thf(zip_derived_cl1467, plain,
1.54/1.02	    (![X2 : $i]:
1.54/1.02	       (~ ('#sk1' @ '#sk4' @ X2) |  ('#form2') |  ('#sk1' @ '#sk9' @ '#sk11'))),
1.54/1.02	    inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl608])).
1.54/1.02	thf(zip_derived_cl1471, plain,
1.54/1.02	    (( ('#sk1' @ '#sk9' @ '#sk11') |  ('#form2'))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl1467])).
1.54/1.02	thf(zip_derived_cl28, plain,
1.54/1.02	    (![X2 : $i, X4 : $i, X6 : $i]:
1.54/1.02	       (~ ('#sk1' @ X2 @ X6)
1.54/1.02	        | ~ ('#sk1' @ X2 @ X4)
1.54/1.02	        |  ('#form2')
1.54/1.02	        |  ('#sk1' @ X4 @ X6))),
1.54/1.02	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
1.54/1.02	thf(zip_derived_cl1482, plain,
1.54/1.02	    (![X0 : $i]:
1.54/1.02	       ( ('#form2')
1.54/1.02	        |  ('#sk1' @ X0 @ '#sk11')
1.54/1.02	        |  ('#form2')
1.54/1.02	        | ~ ('#sk1' @ '#sk9' @ X0))),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl1471, zip_derived_cl28])).
1.54/1.02	thf(zip_derived_cl1492, plain,
1.54/1.02	    (![X0 : $i]:
1.54/1.02	       (~ ('#sk1' @ '#sk9' @ X0) |  ('#sk1' @ X0 @ '#sk11') |  ('#form2'))),
1.54/1.02	    inference('simplify', [status(thm)], [zip_derived_cl1482])).
1.54/1.02	thf(zip_derived_cl1744, plain, (~ ('#form2')),
1.54/1.02	    inference('clc', [status(thm)], [zip_derived_cl1728, zip_derived_cl118])).
1.54/1.02	thf(zip_derived_cl2030, plain,
1.54/1.02	    (![X0 : $i]: (~ ('#sk1' @ '#sk9' @ X0) |  ('#sk1' @ X0 @ '#sk11'))),
1.54/1.02	    inference('demod', [status(thm)],
1.54/1.02	              [zip_derived_cl1492, zip_derived_cl1744])).
1.54/1.02	thf(zip_derived_cl2032, plain, ( ('#sk1' @ '#sk7' @ '#sk11')),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl1750, zip_derived_cl2030])).
1.54/1.02	thf(zip_derived_cl2037, plain, (![X2 : $i]: ~ ('#sk1' @ '#sk4' @ X2)),
1.54/1.02	    inference('demod', [status(thm)],
1.54/1.02	              [zip_derived_cl1746, zip_derived_cl2032])).
1.54/1.02	thf(zip_derived_cl2051, plain, ($false),
1.54/1.02	    inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl2037])).
1.54/1.02	
1.54/1.02	% SZS output end Refutation
1.54/1.02	
1.54/1.02	
1.54/1.02	% Terminating...
1.54/1.06	% Runner terminated.
1.54/1.07	% Zipperpin 1.5 exiting
1.54/1.07	EOF