0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CaaLzY5BDo true
0.13/0.34	% Computer : n007.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 960
0.13/0.34	% WCLimit  : 120
0.13/0.34	% DateTime : Tue Aug  9 07:02:12 EDT 2022
0.13/0.34	% CPUTime  : 
0.13/0.34	% Running portfolio for 960 s
0.13/0.34	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.44/0.64	% Total configuration time : 828
0.44/0.64	% Estimated wc time : 1656
0.44/0.64	% Estimated cpu time (8 cpus) : 207.0
0.52/0.68	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.52/0.68	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.52/0.70	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.52/0.73	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.52/0.73	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.52/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.53/0.74	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.53/0.77	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
235.96/30.56	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
315.68/40.79	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
472.21/60.70	% /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
551.99/70.84	% /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
627.36/80.54	% /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
628.22/80.72	% /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
628.22/80.73	% /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
704.43/90.51	% /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
706.41/90.76	% /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
751.87/96.58	% /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
785.55/100.89	% /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
828.09/106.36	% /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
861.46/110.56	% /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 30s
861.46/110.58	% /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 30s
863.25/110.97	% Solved by lams/15_lcnf_noform.sh.
863.25/110.97	% done 28 iterations in 0.327s
863.25/110.97	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
863.25/110.97	% SZS output start Refutation
863.25/110.97	thf('#sk21_type', type, '#sk21': ($i > $i > $o) > $i > $i).
863.25/110.97	thf(in_type, type, in: $i > $i > $o).
863.25/110.97	thf('#sk22_type', type, '#sk22': $i > $i).
863.25/110.97	thf('#sk76_type', type, '#sk76': ($i > $i > $o) > $i > $i > $i).
863.25/110.97	thf(replAx_type, type, replAx: $o).
863.25/110.97	thf(exu_type, type, exu: ($i > $o) > $o).
863.25/110.97	thf('#sk37_type', type, '#sk37': ($i > $i > $o) > $i > $i).
863.25/110.97	thf('#sk8_type', type, '#sk8': $i > $i).
863.25/110.97	thf('#sk1_type', type, '#sk1': $i).
863.25/110.97	thf(replAx, axiom, replAx =
863.25/110.97	  (![Xphi:( $i > $i > $o ),A:$i]:
863.25/110.97	   ( ( ![Xx:$i]:
863.25/110.97	       ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) =>
863.25/110.97	     ( ?[B:$i]:
863.25/110.97	       ( ![Xx:$i]:
863.25/110.97	         ( ( in @ Xx @ B ) <=>
863.25/110.97	           ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))).
863.25/110.97	thf('0', plain,
863.25/110.97	    (( replAx ) =
863.25/110.97	     ( ![X4:( $i > $i > $o ),X6:$i]:
863.25/110.97	       ( ( ![X8:$i]:
863.25/110.97	           ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) =>
863.25/110.97	         ( ?[X10:$i]:
863.25/110.97	           ( ![X12:$i]:
863.25/110.97	             ( ( in @ X12 @ X10 ) <=>
863.25/110.97	               ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )),
863.25/110.97	    define([status(thm)])).
863.25/110.97	thf(exu, axiom,(( exu  ) =
863.25/110.97	  (^[Xphi:( $i > $o )]:
863.25/110.97	   ( ?[Xx:$i]:
863.25/110.97	     ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))).
863.25/110.97	thf('1', plain,
863.25/110.97	    (( exu ) =
863.25/110.97	     ( ^[Xphi:( $i > $o )]:
863.25/110.97	       ( ?[Xx:$i]:
863.25/110.97	         ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 
863.25/110.97	           ( Xphi @ Xx ) ) ) )),
863.25/110.97	    inference('simplify_rw_rule', [status(thm)], [exu])).
863.25/110.97	thf('2', plain,
863.25/110.97	    (( exu ) =
863.25/110.97	     ( ^[V_1:( $i > $o )]:
863.25/110.97	       ( ?[X4:$i]:
863.25/110.97	         ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 
863.25/110.97	           ( V_1 @ X4 ) ) ) )),
863.25/110.97	    define([status(thm)])).
863.25/110.97	thf(image1Ex, conjecture,
863.25/110.97	  (( replAx ) =>
863.25/110.97	   ( ![A:$i,Xf:( $i > $i )]:
863.25/110.97	     ( ?[B:$i]:
863.25/110.97	       ( ![Xx:$i]:
863.25/110.97	         ( ( in @ Xx @ B ) <=>
863.25/110.97	           ( ?[Xy:$i]: ( ( in @ Xy @ A ) & ( ( Xx ) = ( Xf @ Xy ) ) ) ) ) ) ) ))).
863.25/110.97	thf(zf_stmt_0, conjecture,
863.25/110.97	  (( ![X4:( $i > $i > $o ),X6:$i]:
863.25/110.97	     ( ( ![X8:$i]:
863.25/110.97	         ( ( in @ X8 @ X6 ) =>
863.25/110.97	           ( ?[X10:$i]:
863.25/110.97	             ( ( X4 @ X8 @ X10 ) & 
863.25/110.97	               ( ![X12:$i]: ( ( X4 @ X8 @ X12 ) => ( ( X10 ) = ( X12 ) ) ) ) ) ) ) ) =>
863.25/110.97	       ( ?[X14:$i]:
863.25/110.97	         ( ![X16:$i]:
863.25/110.97	           ( ( in @ X16 @ X14 ) <=>
863.25/110.97	             ( ?[X18:$i]: ( ( in @ X18 @ X6 ) & ( X4 @ X18 @ X16 ) ) ) ) ) ) ) ) =>
863.25/110.97	   ( ![X20:$i,X22:( $i > $i )]:
863.25/110.97	     ( ?[X24:$i]:
863.25/110.97	       ( ![X26:$i]:
863.25/110.97	         ( ( in @ X26 @ X24 ) <=>
863.25/110.97	           ( ?[X28:$i]: ( ( ( X26 ) = ( X22 @ X28 ) ) & ( in @ X28 @ X20 ) ) ) ) ) ) ))).
863.25/110.97	thf(zf_stmt_1, negated_conjecture,
863.25/110.97	  (~( ( ![X4:( $i > $i > $o ),X6:$i]:
863.25/110.97	        ( ( ![X8:$i]:
863.25/110.97	            ( ( in @ X8 @ X6 ) =>
863.25/110.97	              ( ?[X10:$i]:
863.25/110.97	                ( ( X4 @ X8 @ X10 ) & 
863.25/110.97	                  ( ![X12:$i]: ( ( X4 @ X8 @ X12 ) => ( ( X10 ) = ( X12 ) ) ) ) ) ) ) ) =>
863.25/110.97	          ( ?[X14:$i]:
863.25/110.97	            ( ![X16:$i]:
863.25/110.97	              ( ( in @ X16 @ X14 ) <=>
863.25/110.97	                ( ?[X18:$i]: ( ( in @ X18 @ X6 ) & ( X4 @ X18 @ X16 ) ) ) ) ) ) ) ) =>
863.25/110.97	      ( ![X20:$i,X22:( $i > $i )]:
863.25/110.97	        ( ?[X24:$i]:
863.25/110.97	          ( ![X26:$i]:
863.25/110.97	            ( ( in @ X26 @ X24 ) <=>
863.25/110.97	              ( ?[X28:$i]:
863.25/110.97	                ( ( ( X26 ) = ( X22 @ X28 ) ) & ( in @ X28 @ X20 ) ) ) ) ) ) ) )),
863.25/110.97	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
863.25/110.97	thf(zip_derived_cl0, plain,
863.25/110.97	    (~ (((((!!) @ (^[Y0 : $i > $i > $o]:
863.25/110.97	                     (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                 (((((!!) @ (^[Y2 : $i]:
863.25/110.97	                                               (((in @ Y2 @ Y1) =>
863.25/110.97	                                                 (((??) @ (^[Y3 : $i]:
863.25/110.97	                                                             (((Y0 @ Y2 @ 
863.25/110.97	                                                               Y3) &
863.25/110.97	                                                               (((!!) @ (
863.25/110.97	                                                                 ^[Y4 : $i]:
863.25/110.97	                                                                   ((
863.25/110.97	                                                                    (Y0 @ 
863.25/110.97	                                                                    Y2 @ 
863.25/110.97	                                                                    Y4) =>
863.25/110.97	                                                                    ((
863.25/110.97	                                                                    (Y3) =
863.25/110.97	                                                                    (Y4)))))))))))))))))) =>
863.25/110.97	                                   (((??) @ (^[Y2 : $i]:
863.25/110.97	                                               (((!!) @ (^[Y3 : $i]:
863.25/110.97	                                                           (((in @ Y3 @ 
863.25/110.97	                                                             Y2) <=>
863.25/110.97	                                                             (((??) @ (
863.25/110.97	                                                               ^[Y4 : $i]:
863.25/110.97	                                                                 (((in @ 
863.25/110.97	                                                                   Y4 @ Y1) &
863.25/110.97	                                                                   (Y0 @ 
863.25/110.97	                                                                   Y4 @ Y3)))))))))))))))))))))) =>
863.25/110.97	         (((!!) @ (^[Y0 : $i]:
863.25/110.97	                     (((!!) @ (^[Y1 : $i > $i]:
863.25/110.97	                                 (((??) @ (^[Y2 : $i]:
863.25/110.97	                                             (((!!) @ (^[Y3 : $i]:
863.25/110.97	                                                         (((in @ Y3 @ Y2) <=>
863.25/110.97	                                                           (((??) @ (
863.25/110.97	                                                             ^[Y4 : $i]:
863.25/110.97	                                                               (((((Y3) =
863.25/110.97	                                                                   (Y1 @ Y4))) &
863.25/110.97	                                                                 (in @ Y4 @ 
863.25/110.97	                                                                 Y0))))))))))))))))))))))),
863.25/110.97	    inference('cnf', [status(esa)], [zf_stmt_1])).
863.25/110.97	thf(zip_derived_cl1, plain,
863.25/110.97	    ( (((!!) @ (^[Y0 : $i > $i > $o]:
863.25/110.97	                  (((!!) @ (^[Y1 : $i]:
863.25/110.97	                              (((((!!) @ (^[Y2 : $i]:
863.25/110.97	                                            (((in @ Y2 @ Y1) =>
863.25/110.97	                                              (((??) @ (^[Y3 : $i]:
863.25/110.97	                                                          (((Y0 @ Y2 @ Y3) &
863.25/110.97	                                                            (((!!) @ (
863.25/110.97	                                                              ^[Y4 : $i]:
863.25/110.97	                                                                (((Y0 @ Y2 @ 
863.25/110.97	                                                                  Y4) =>
863.25/110.97	                                                                  (((Y3) =
863.25/110.97	                                                                    (Y4)))))))))))))))))) =>
863.25/110.97	                                (((??) @ (^[Y2 : $i]:
863.25/110.97	                                            (((!!) @ (^[Y3 : $i]:
863.25/110.97	                                                        (((in @ Y3 @ Y2) <=>
863.25/110.97	                                                          (((??) @ (^[Y4 : $i]:
863.25/110.97	                                                                    ((
863.25/110.97	                                                                    (in @ 
863.25/110.97	                                                                    Y4 @ 
863.25/110.97	                                                                    Y1) &
863.25/110.97	                                                                    (Y0 @ 
863.25/110.97	                                                                    Y4 @ Y3))))))))))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
863.25/110.97	thf(zip_derived_cl3, plain,
863.25/110.97	    (![X2 : $i > $i > $o]:
863.25/110.97	        (((!!) @ (^[Y0 : $i]:
863.25/110.97	                    (((((!!) @ (^[Y1 : $i]:
863.25/110.97	                                  (((in @ Y1 @ Y0) =>
863.25/110.97	                                    (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                (((X2 @ Y1 @ Y2) &
863.25/110.97	                                                  (((!!) @ (^[Y3 : $i]:
863.25/110.97	                                                              (((X2 @ Y1 @ 
863.25/110.97	                                                                Y3) =>
863.25/110.97	                                                                (((Y2) = (Y3)))))))))))))))))) =>
863.25/110.97	                      (((??) @ (^[Y1 : $i]:
863.25/110.97	                                  (((!!) @ (^[Y2 : $i]:
863.25/110.97	                                              (((in @ Y2 @ Y1) <=>
863.25/110.97	                                                (((??) @ (^[Y3 : $i]:
863.25/110.97	                                                            (((in @ Y3 @ 
863.25/110.97	                                                              Y0) & (X2 @ 
863.25/110.97	                                                              Y3 @ Y2)))))))))))))))))))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
863.25/110.97	thf(zip_derived_cl5, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i]:
863.25/110.97	        (((((!!) @ (^[Y0 : $i]:
863.25/110.97	                      (((in @ Y0 @ X4) =>
863.25/110.97	                        (((??) @ (^[Y1 : $i]:
863.25/110.97	                                    (((X2 @ Y0 @ Y1) &
863.25/110.97	                                      (((!!) @ (^[Y2 : $i]:
863.25/110.97	                                                  (((X2 @ Y0 @ Y2) =>
863.25/110.97	                                                    (((Y1) = (Y2)))))))))))))))))) =>
863.25/110.97	          (((??) @ (^[Y0 : $i]:
863.25/110.97	                      (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                  (((in @ Y1 @ Y0) <=>
863.25/110.97	                                    (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                  Y2 @ Y1))))))))))))))))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
863.25/110.97	thf(zip_derived_cl7, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i]:
863.25/110.97	       (~ (((!!) @ (^[Y0 : $i]:
863.25/110.97	                      (((in @ Y0 @ X4) =>
863.25/110.97	                        (((??) @ (^[Y1 : $i]:
863.25/110.97	                                    (((X2 @ Y0 @ Y1) &
863.25/110.97	                                      (((!!) @ (^[Y2 : $i]:
863.25/110.97	                                                  (((X2 @ Y0 @ Y2) =>
863.25/110.97	                                                    (((Y1) = (Y2))))))))))))))))))
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])).
863.25/110.97	thf(zip_derived_cl9, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i]:
863.25/110.97	       (~ (((in @ ('#sk21' @ X2 @ X4) @ X4) =>
863.25/110.97	            (((??) @ (^[Y0 : $i]:
863.25/110.97	                        (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) &
863.25/110.97	                          (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                      (((X2 @ ('#sk21' @ X2 @ X4) @ Y1) =>
863.25/110.97	                                        (((Y0) = (Y1)))))))))))))))
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
863.25/110.97	thf(zip_derived_cl12, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i]:
863.25/110.97	       (~ (((??) @ (^[Y0 : $i]:
863.25/110.97	                      (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) &
863.25/110.97	                        (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                    (((X2 @ ('#sk21' @ X2 @ X4) @ Y1) =>
863.25/110.97	                                      (((Y0) = (Y1)))))))))))))
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
863.25/110.97	thf(zip_derived_cl15, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       (~ (((X2 @ ('#sk21' @ X2 @ X4) @ X6) &
863.25/110.97	            (((!!) @ (^[Y0 : $i]:
863.25/110.97	                        (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) => (((X6) = (Y0))))))))))
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])).
863.25/110.97	thf(zip_derived_cl17, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       (~ (X2 @ ('#sk21' @ X2 @ X4) @ X6)
863.25/110.97	        | ~ (((!!) @ (^[Y0 : $i]:
863.25/110.97	                        (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) => (((X6) = (Y0))))))))
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
863.25/110.97	thf(zip_derived_cl19, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       (~ (((X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)) =>
863.25/110.97	            (((X6) = ('#sk76' @ X2 @ X4 @ X6)))))
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1))))))))))))))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl17])).
863.25/110.97	thf(zip_derived_cl20, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       ( (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6)
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])).
863.25/110.97	thf(zip_derived_cl22, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       ( (((!!) @ (^[Y0 : $i]:
863.25/110.97	                     (((in @ Y0 @ ('#sk37' @ X2 @ X4)) <=>
863.25/110.97	                       (((??) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ X4) & (X2 @ Y1 @ Y0)))))))))))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6)
863.25/110.97	        |  (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])).
863.25/110.97	thf(zip_derived_cl25, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]:
863.25/110.97	       ( (((in @ X8 @ ('#sk37' @ X2 @ X4)) <=>
863.25/110.97	           (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8))))))))
863.25/110.97	        |  (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])).
863.25/110.97	thf(zip_derived_cl27, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]:
863.25/110.97	       (((in @ X8 @ ('#sk37' @ X2 @ X4))
863.25/110.97	          = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8)))))))
863.25/110.97	        |  (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl25])).
863.25/110.97	thf(zip_derived_cl2, plain,
863.25/110.97	    (~ (((!!) @ (^[Y0 : $i]:
863.25/110.97	                   (((!!) @ (^[Y1 : $i > $i]:
863.25/110.97	                               (((??) @ (^[Y2 : $i]:
863.25/110.97	                                           (((!!) @ (^[Y3 : $i]:
863.25/110.97	                                                       (((in @ Y3 @ Y2) <=>
863.25/110.97	                                                         (((??) @ (^[Y4 : $i]:
863.25/110.97	                                                                    ((
863.25/110.97	                                                                    ((
863.25/110.97	                                                                    (Y3) =
863.25/110.97	                                                                    (Y1 @ Y4))) &
863.25/110.97	                                                                    (in @ 
863.25/110.97	                                                                    Y4 @ Y0))))))))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
863.25/110.97	thf(zip_derived_cl4, plain,
863.25/110.97	    (~ (((!!) @ (^[Y0 : $i > $i]:
863.25/110.97	                   (((??) @ (^[Y1 : $i]:
863.25/110.97	                               (((!!) @ (^[Y2 : $i]:
863.25/110.97	                                           (((in @ Y2 @ Y1) <=>
863.25/110.97	                                             (((??) @ (^[Y3 : $i]:
863.25/110.97	                                                         (((((Y2) = (Y0 @ Y3))) &
863.25/110.97	                                                           (in @ Y3 @ '#sk1')))))))))))))))))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
863.25/110.97	thf(zip_derived_cl6, plain,
863.25/110.97	    (~ (((??) @ (^[Y0 : $i]:
863.25/110.97	                   (((!!) @ (^[Y1 : $i]:
863.25/110.97	                               (((in @ Y1 @ Y0) <=>
863.25/110.97	                                 (((??) @ (^[Y2 : $i]:
863.25/110.97	                                             (((((Y1) = ('#sk8' @ Y2))) &
863.25/110.97	                                               (in @ Y2 @ '#sk1'))))))))))))))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])).
863.25/110.97	thf(zip_derived_cl8, plain,
863.25/110.97	    (![X2 : $i]:
863.25/110.97	       ~ (((!!) @ (^[Y0 : $i]:
863.25/110.97	                     (((in @ Y0 @ X2) <=>
863.25/110.97	                       (((??) @ (^[Y1 : $i]:
863.25/110.97	                                   (((((Y0) = ('#sk8' @ Y1))) & (in @ Y1 @ 
863.25/110.97	                                     '#sk1')))))))))))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
863.25/110.97	thf(zip_derived_cl10, plain,
863.25/110.97	    (![X2 : $i]:
863.25/110.97	       ~ (((in @ ('#sk22' @ X2) @ X2) <=>
863.25/110.97	           (((??) @ (^[Y0 : $i]:
863.25/110.97	                       ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 
863.25/110.97	                         '#sk1'))))))))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])).
863.25/110.97	thf(zip_derived_cl13, plain,
863.25/110.97	    (![X2 : $i]:
863.25/110.97	       ((in @ ('#sk22' @ X2) @ X2)
863.25/110.97	         != (((??) @ (^[Y0 : $i]:
863.25/110.97	                        ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 
863.25/110.97	                          '#sk1')))))))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
863.25/110.97	thf(zip_derived_cl138, plain,
863.25/110.97	    (![X0 : $i, X1 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ 
863.25/110.97	               (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                  ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                    ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                        ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                    Y0 @ Y1)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        | ~ ((^[Y0 : $i,Y1 : $i]:
863.25/110.97	                ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                  ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                      ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                  Y0 @ Y1)))) @ 
863.25/110.97	             ('#sk21' @ 
863.25/110.97	              (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                   ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                       ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                   Y0 @ Y1)))) @ 
863.25/110.97	              '#sk1') @ 
863.25/110.97	             X1)
863.25/110.97	        |  ((^[Y0 : $i,Y1 : $i]:
863.25/110.97	               ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                 ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                     ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                 Y0 @ Y1)))) @ 
863.25/110.97	            ('#sk21' @ 
863.25/110.97	             (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                  ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                      ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                  Y0 @ Y1)))) @ 
863.25/110.97	             '#sk1') @ 
863.25/110.97	            ('#sk76' @ 
863.25/110.97	             (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                  ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                      ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                  Y0 @ Y1)))) @ 
863.25/110.97	             '#sk1' @ X1)))),
863.25/110.97	    inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl13])).
863.25/110.97	thf(zip_derived_cl173, plain,
863.25/110.97	    (![X0 : $i, X1 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        | ~ (((X1) = ('#sk8' @ 
863.25/110.97	              ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1'))))
863.25/110.97	        |  ((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	             '#sk1' @ X1) = ('#sk8' @ 
863.25/110.97	             ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	              '#sk1')))))),
863.25/110.97	    inference('ho_norm', [status(thm)], [zip_derived_cl138])).
863.25/110.97	thf(zip_derived_cl174, plain,
863.25/110.97	    (![X0 : $i, X1 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        | ((X1)
863.25/110.97	            != ('#sk8' @ 
863.25/110.97	                ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                 '#sk1')))
863.25/110.97	        | (('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	            '#sk1' @ X1)
863.25/110.97	            = ('#sk8' @ 
863.25/110.97	               ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                '#sk1'))))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)],
863.25/110.97	              [zip_derived_cl173])).
863.25/110.97	thf(zip_derived_cl175, plain,
863.25/110.97	    (![X0 : $i]:
863.25/110.97	       ((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	          '#sk1' @ 
863.25/110.97	          ('#sk8' @ 
863.25/110.97	           ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))
863.25/110.97	          = ('#sk8' @ 
863.25/110.97	             ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	              '#sk1')))
863.25/110.97	        | ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	            != (in @ ('#sk22' @ X0) @ 
863.25/110.97	                ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                 '#sk1'))))),
863.25/110.97	    inference('simplify', [status(thm)], [zip_derived_cl174])).
863.25/110.97	thf('3', plain,
863.25/110.97	    (((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1' @ 
863.25/110.97	        ('#sk8' @ 
863.25/110.97	         ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))
863.25/110.97	        = ('#sk8' @ 
863.25/110.97	           ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))) | 
863.25/110.97	     (![X0 : $i]:
863.25/110.97	        ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1'))))),
863.25/110.97	    inference('split', [status(esa)], [zip_derived_cl175])).
863.25/110.97	thf(zip_derived_cl11, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i]:
863.25/110.97	       ( (in @ ('#sk21' @ X2 @ X4) @ X4)
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
863.25/110.97	thf(zip_derived_cl14, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i]:
863.25/110.97	       ( (((!!) @ (^[Y0 : $i]:
863.25/110.97	                     (((in @ Y0 @ ('#sk37' @ X2 @ X4)) <=>
863.25/110.97	                       (((??) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ X4) & (X2 @ Y1 @ Y0)))))))))))
863.25/110.97	        |  (in @ ('#sk21' @ X2 @ X4) @ X4))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])).
863.25/110.97	thf(zip_derived_cl16, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       ( (((in @ X6 @ ('#sk37' @ X2 @ X4)) <=>
863.25/110.97	           (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X6))))))))
863.25/110.97	        |  (in @ ('#sk21' @ X2 @ X4) @ X4))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
863.25/110.97	thf(zip_derived_cl18, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       (((in @ X6 @ ('#sk37' @ X2 @ X4))
863.25/110.97	          = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X6)))))))
863.25/110.97	        |  (in @ ('#sk21' @ X2 @ X4) @ X4))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl16])).
863.25/110.97	thf(zip_derived_cl13, plain,
863.25/110.97	    (![X2 : $i]:
863.25/110.97	       ((in @ ('#sk22' @ X2) @ X2)
863.25/110.97	         != (((??) @ (^[Y0 : $i]:
863.25/110.97	                        ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 
863.25/110.97	                          '#sk1')))))))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
863.25/110.97	thf(zip_derived_cl44, plain,
863.25/110.97	    (![X0 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ 
863.25/110.97	               (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                  ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                    ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                        ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                    Y0 @ Y1)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        |  (in @ 
863.25/110.97	            ('#sk21' @ 
863.25/110.97	             (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                  ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                      ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                  Y0 @ Y1)))) @ 
863.25/110.97	             '#sk1') @ 
863.25/110.97	            '#sk1'))),
863.25/110.97	    inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
863.25/110.97	thf(zip_derived_cl57, plain,
863.25/110.97	    (![X0 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        |  (in @ 
863.25/110.97	            ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	             '#sk1') @ 
863.25/110.97	            '#sk1'))),
863.25/110.97	    inference('ho_norm', [status(thm)], [zip_derived_cl44])).
863.25/110.97	thf(zip_derived_cl58, plain,
863.25/110.97	    ((![X0 : $i]:
863.25/110.97	        ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1'))))
863.25/110.97	       <= ((![X0 : $i]:
863.25/110.97	              ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	                != (in @ ('#sk22' @ X0) @ 
863.25/110.97	                    ('#sk37' @ 
863.25/110.97	                     (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))))),
863.25/110.97	    inference('split', [status(esa)], [zip_derived_cl57])).
863.25/110.97	thf('4', plain,
863.25/110.97	    (~
863.25/110.97	     (![X0 : $i]:
863.25/110.97	        ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1'))))),
863.25/110.97	    inference('eq_res', [status(thm)], [zip_derived_cl58])).
863.25/110.97	thf(zip_derived_cl21, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       (~ (((X6) = ('#sk76' @ X2 @ X4 @ X6)))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6)
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])).
863.25/110.97	thf(zip_derived_cl23, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       (((X6) != ('#sk76' @ X2 @ X4 @ X6))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6)
863.25/110.97	        |  (((??) @ (^[Y0 : $i]:
863.25/110.97	                       (((!!) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ Y0) <=>
863.25/110.97	                                     (((??) @ (^[Y2 : $i]:
863.25/110.97	                                                 (((in @ Y2 @ X4) & (X2 @ 
863.25/110.97	                                                   Y2 @ Y1)))))))))))))))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])).
863.25/110.97	thf(zip_derived_cl24, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i]:
863.25/110.97	       ( (((!!) @ (^[Y0 : $i]:
863.25/110.97	                     (((in @ Y0 @ ('#sk37' @ X2 @ X4)) <=>
863.25/110.97	                       (((??) @ (^[Y1 : $i]:
863.25/110.97	                                   (((in @ Y1 @ X4) & (X2 @ Y1 @ Y0)))))))))))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6)
863.25/110.97	        | ((X6) != ('#sk76' @ X2 @ X4 @ X6)))),
863.25/110.97	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])).
863.25/110.97	thf(zip_derived_cl26, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]:
863.25/110.97	       ( (((in @ X8 @ ('#sk37' @ X2 @ X4)) <=>
863.25/110.97	           (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8))))))))
863.25/110.97	        | ((X6) != ('#sk76' @ X2 @ X4 @ X6))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))),
863.25/110.97	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
863.25/110.97	thf(zip_derived_cl28, plain,
863.25/110.97	    (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]:
863.25/110.97	       (((in @ X8 @ ('#sk37' @ X2 @ X4))
863.25/110.97	          = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8)))))))
863.25/110.97	        | ((X6) != ('#sk76' @ X2 @ X4 @ X6))
863.25/110.97	        | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl26])).
863.25/110.97	thf(zip_derived_cl13, plain,
863.25/110.97	    (![X2 : $i]:
863.25/110.97	       ((in @ ('#sk22' @ X2) @ X2)
863.25/110.97	         != (((??) @ (^[Y0 : $i]:
863.25/110.97	                        ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 
863.25/110.97	                          '#sk1')))))))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
863.25/110.97	thf(zip_derived_cl283, plain,
863.25/110.97	    (![X0 : $i, X1 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ 
863.25/110.97	               (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                  ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                    ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                        ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                    Y0 @ Y1)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        | ~ ((^[Y0 : $i,Y1 : $i]:
863.25/110.97	                ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                  ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                      ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                  Y0 @ Y1)))) @ 
863.25/110.97	             ('#sk21' @ 
863.25/110.97	              (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                   ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                       ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                   Y0 @ Y1)))) @ 
863.25/110.97	              '#sk1') @ 
863.25/110.97	             X1)
863.25/110.97	        | ((X1)
863.25/110.97	            != ('#sk76' @ 
863.25/110.97	                (^[Y0 : $i,Y1 : $i]:
863.25/110.97	                   ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) =
863.25/110.97	                     ((^[Y2 : $i,Y3 : $i]:
863.25/110.97	                         ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 
863.25/110.97	                     Y0 @ Y1)))) @ 
863.25/110.97	                '#sk1' @ X1)))),
863.25/110.97	    inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl13])).
863.25/110.97	thf(zip_derived_cl314, plain,
863.25/110.97	    (![X0 : $i, X1 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        | ~ (((X1) = ('#sk8' @ 
863.25/110.97	              ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1'))))
863.25/110.97	        | ((X1)
863.25/110.97	            != ('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                '#sk1' @ X1)))),
863.25/110.97	    inference('ho_norm', [status(thm)], [zip_derived_cl283])).
863.25/110.97	thf(zip_derived_cl315, plain,
863.25/110.97	    (![X0 : $i, X1 : $i]:
863.25/110.97	       (((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1')))
863.25/110.97	        | ((X1)
863.25/110.97	            != ('#sk8' @ 
863.25/110.97	                ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                 '#sk1')))
863.25/110.97	        | ((X1)
863.25/110.97	            != ('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                '#sk1' @ X1)))),
863.25/110.97	    inference('simplify nested equalities', [status(thm)],
863.25/110.97	              [zip_derived_cl314])).
863.25/110.97	thf(zip_derived_cl316, plain,
863.25/110.97	    (![X0 : $i]:
863.25/110.97	       ((('#sk8' @ 
863.25/110.97	          ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1'))
863.25/110.97	          != ('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	              '#sk1' @ 
863.25/110.97	              ('#sk8' @ 
863.25/110.97	               ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                '#sk1'))))
863.25/110.97	        | ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	            != (in @ ('#sk22' @ X0) @ 
863.25/110.97	                ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	                 '#sk1'))))),
863.25/110.97	    inference('simplify', [status(thm)], [zip_derived_cl315])).
863.25/110.97	thf('5', plain,
863.25/110.97	    ((![X0 : $i]:
863.25/110.97	        ((in @ ('#sk22' @ X0) @ X0)
863.25/110.97	          != (in @ ('#sk22' @ X0) @ 
863.25/110.97	              ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 
863.25/110.97	               '#sk1')))) | 
863.25/110.97	     ~
863.25/110.97	     ((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1' @ 
863.25/110.97	        ('#sk8' @ 
863.25/110.97	         ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))
863.25/110.97	        = ('#sk8' @ 
863.25/110.97	           ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1'))))),
863.25/110.97	    inference('split', [status(esa)], [zip_derived_cl316])).
863.25/110.97	thf(zip_derived_cl322, plain, ($false),
863.25/110.97	    inference('sat_resolution*', [status(thm)], ['3', '4', '5'])).
863.25/110.97	
863.25/110.97	% SZS output end Refutation
863.25/110.97	
863.25/110.97	
863.25/110.97	% Terminating...
863.25/111.03	% Runner terminated.
863.25/111.03	% Zipperpin 1.5 exiting
863.25/111.04	EOF