0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N2BeAL9bYP true
0.10/0.38	% Computer : n022.cluster.edu
0.10/0.38	% Model    : x86_64 x86_64
0.10/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.38	% Memory   : 8046.5625MB
0.10/0.38	% OS       : Linux 6.8.0-71-generic
0.10/0.38	% CPULimit : 1440
0.10/0.38	% WCLimit  : 180
0.10/0.38	% DateTime : Mon Jul 27 14:28:43 UTC 2026
0.10/0.38	% CPUTime  : 
0.10/0.38	% Running portfolio for 1440 s
0.10/0.38	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.38	% Number of cores: 8
0.10/0.39	% Python version: Python 3.12.3
0.10/0.39	% Running in HO mode
0.45/0.68	% Total configuration time : 828
0.45/0.68	% Estimated wc time : 1656
0.45/0.68	% Estimated cpu time (8 cpus) : 207.0
0.49/0.75	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.49/0.81	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.49/0.81	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.49/0.82	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.49/0.82	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.49/0.82	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.49/0.82	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.49/0.82	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
17.19/2.84	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
84.63/11.38	% Solved by lams/35_full_unif4.sh.
84.63/11.38	% done 712 iterations in 10.530s
84.63/11.38	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
84.63/11.38	% SZS output start Refutation
84.63/11.38	thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
84.63/11.38	thf(in_type, type, in: $i > $i > $o).
84.63/11.38	thf(e_is_type, type, e_is: $i > $i > $i > $o).
84.63/11.38	thf(nat_type, type, nat: $i).
84.63/11.38	thf('#sk3811_type', type, '#sk3811': $i).
84.63/11.38	thf('#sk3810_type', type, '#sk3810': $i).
84.63/11.38	thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
84.63/11.38	thf(n_is_type, type, n_is: $i > $i > $o).
84.63/11.38	thf('#sk3812_type', type, '#sk3812': $i).
84.63/11.38	thf(n_pl_type, type, n_pl: $i > $i > $i).
84.63/11.38	thf(def_n_is, axiom,(( n_is  ) = (e_is @ nat))).
84.63/11.38	thf(def_e_is, axiom,(( e_is  ) = (^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) )))).
84.63/11.38	thf('0', plain, (( e_is ) = ( ^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) ) )),
84.63/11.38	    inference('simplify_rw_rule', [status(thm)], [def_e_is])).
84.63/11.38	thf('1', plain,
84.63/11.38	    (( e_is ) = ( ^[V_1:$i,V_2:$i,V_3:$i]: ( ( V_2 ) = ( V_3 ) ) )),
84.63/11.38	    define([status(thm)])).
84.63/11.38	thf('2', plain, (( n_is ) = ( e_is @ nat )),
84.63/11.38	    inference('simplify_rw_rule', [status(thm)], [def_n_is, '1'])).
84.63/11.38	thf('3', plain, (( n_is ) = ( e_is @ nat )), define([status(thm)])).
84.63/11.38	thf(def_all_of, axiom,(( all_of  ) =
84.63/11.38	  (^[X0:( $i > $o ),X1:( $i > $o )]:
84.63/11.38	   ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))).
84.63/11.38	thf(def_is_of, axiom,(( is_of  ) = (^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 )))).
84.63/11.38	thf('4', plain, (( is_of ) = ( ^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 ) )),
84.63/11.38	    inference('simplify_rw_rule', [status(thm)], [def_is_of])).
84.63/11.38	thf('5', plain, (( is_of ) = ( ^[V_1:$i,V_2:( $i > $o )]: ( V_2 @ V_1 ) )),
84.63/11.38	    define([status(thm)])).
84.63/11.38	thf('6', plain,
84.63/11.38	    (( all_of ) =
84.63/11.38	     ( ^[X0:( $i > $o ),X1:( $i > $o )]:
84.63/11.38	       ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )),
84.63/11.38	    inference('simplify_rw_rule', [status(thm)], [def_all_of, '5'])).
84.63/11.38	thf('7', plain,
84.63/11.38	    (( all_of ) =
84.63/11.38	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
84.63/11.38	       ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )),
84.63/11.38	    define([status(thm)])).
84.63/11.38	thf(satz20b, conjecture,
84.63/11.38	  (all_of @
84.63/11.38	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
84.63/11.38	   ( ^[X0:$i]:
84.63/11.38	     ( all_of @
84.63/11.38	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
84.63/11.38	       ( ^[X1:$i]:
84.63/11.38	         ( all_of @
84.63/11.38	           ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 
84.63/11.38	           ( ^[X2:$i]:
84.63/11.38	             ( ( n_is @ ( n_pl @ X0 @ X2 ) @ ( n_pl @ X1 @ X2 ) ) =>
84.63/11.38	               ( n_is @ X0 @ X1 ) ) ) ) ) ) ))).
84.63/11.38	thf(zf_stmt_0, conjecture,
84.63/11.38	  (![X4:$i]:
84.63/11.38	   ( ( in @ X4 @ nat ) =>
84.63/11.38	     ( ![X6:$i]:
84.63/11.38	       ( ( in @ X6 @ nat ) =>
84.63/11.38	         ( ![X8:$i]:
84.63/11.38	           ( ( in @ X8 @ nat ) =>
84.63/11.38	             ( ( ( n_pl @ X4 @ X8 ) = ( n_pl @ X6 @ X8 ) ) =>
84.63/11.38	               ( ( X4 ) = ( X6 ) ) ) ) ) ) ) ))).
84.63/11.38	thf(zf_stmt_1, negated_conjecture,
84.63/11.38	  (~( ![X4:$i]:
84.63/11.38	      ( ( in @ X4 @ nat ) =>
84.63/11.38	        ( ![X6:$i]:
84.63/11.38	          ( ( in @ X6 @ nat ) =>
84.63/11.38	            ( ![X8:$i]:
84.63/11.38	              ( ( in @ X8 @ nat ) =>
84.63/11.38	                ( ( ( n_pl @ X4 @ X8 ) = ( n_pl @ X6 @ X8 ) ) =>
84.63/11.38	                  ( ( X4 ) = ( X6 ) ) ) ) ) ) ) ) )),
84.63/11.38	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
84.63/11.38	thf(zip_derived_cl163, plain,
84.63/11.38	    (~ (((!!) @ (^[Y0 : $i]:
84.63/11.38	                   (((in @ Y0 @ nat) =>
84.63/11.38	                     (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                 (((in @ Y1 @ nat) =>
84.63/11.38	                                   (((!!) @ (^[Y2 : $i]:
84.63/11.38	                                               (((in @ Y2 @ nat) =>
84.63/11.38	                                                 (((((n_pl @ Y0 @ Y2) =
84.63/11.38	                                                     (n_pl @ Y1 @ Y2))) =>
84.63/11.38	                                                   (((Y0) = (Y1))))))))))))))))))))),
84.63/11.38	    inference('cnf', [status(esa)], [zf_stmt_1])).
84.63/11.38	thf(zip_derived_cl2989, plain,
84.63/11.38	    (~ (((in @ '#sk3810' @ nat) =>
84.63/11.38	         (((!!) @ (^[Y0 : $i]:
84.63/11.38	                     (((in @ Y0 @ nat) =>
84.63/11.38	                       (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                   (((in @ Y1 @ nat) =>
84.63/11.38	                                     (((((n_pl @ '#sk3810' @ Y1) = (n_pl @ 
84.63/11.38	                                         Y0 @ Y1))) =>
84.63/11.38	                                       ((('#sk3810') = (Y0)))))))))))))))))),
84.63/11.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl163])).
84.63/11.38	thf(zip_derived_cl2991, plain,
84.63/11.38	    (~ (((!!) @ (^[Y0 : $i]:
84.63/11.38	                   (((in @ Y0 @ nat) =>
84.63/11.38	                     (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                 (((in @ Y1 @ nat) =>
84.63/11.38	                                   (((((n_pl @ '#sk3810' @ Y1) = (n_pl @ 
84.63/11.38	                                       Y0 @ Y1))) =>
84.63/11.38	                                     ((('#sk3810') = (Y0)))))))))))))))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2989])).
84.63/11.38	thf(zip_derived_cl2992, plain,
84.63/11.38	    (~ (((in @ '#sk3811' @ nat) =>
84.63/11.38	         (((!!) @ (^[Y0 : $i]:
84.63/11.38	                     (((in @ Y0 @ nat) =>
84.63/11.38	                       (((((n_pl @ '#sk3810' @ Y0) = (n_pl @ '#sk3811' @ Y0))) =>
84.63/11.38	                         ((('#sk3810') = ('#sk3811'))))))))))))),
84.63/11.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2991])).
84.63/11.38	thf(zip_derived_cl2994, plain,
84.63/11.38	    (~ (((!!) @ (^[Y0 : $i]:
84.63/11.38	                   (((in @ Y0 @ nat) =>
84.63/11.38	                     (((((n_pl @ '#sk3810' @ Y0) = (n_pl @ '#sk3811' @ Y0))) =>
84.63/11.38	                       ((('#sk3810') = ('#sk3811'))))))))))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2992])).
84.63/11.38	thf(zip_derived_cl2995, plain,
84.63/11.38	    (~ (((in @ '#sk3812' @ nat) =>
84.63/11.38	         (((((n_pl @ '#sk3810' @ '#sk3812') = (n_pl @ '#sk3811' @ '#sk3812'))) =>
84.63/11.38	           ((('#sk3810') = ('#sk3811')))))))),
84.63/11.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2994])).
84.63/11.38	thf(zip_derived_cl2997, plain,
84.63/11.38	    (~ (((((n_pl @ '#sk3810' @ '#sk3812') = (n_pl @ '#sk3811' @ '#sk3812'))) =>
84.63/11.38	         ((('#sk3810') = ('#sk3811')))))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2995])).
84.63/11.38	thf(zip_derived_cl2998, plain,
84.63/11.38	    ( (((n_pl @ '#sk3810' @ '#sk3812') = (n_pl @ '#sk3811' @ '#sk3812')))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2997])).
84.63/11.38	thf(zip_derived_cl3000, plain,
84.63/11.38	    (((n_pl @ '#sk3810' @ '#sk3812') = (n_pl @ '#sk3811' @ '#sk3812'))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl2998])).
84.63/11.38	thf(satz6, axiom,
84.63/11.38	  (all_of @
84.63/11.38	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
84.63/11.38	   ( ^[X0:$i]:
84.63/11.38	     ( all_of @
84.63/11.38	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
84.63/11.38	       ( ^[X1:$i]: ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X1 @ X0 ) ) ) ) ))).
84.63/11.38	thf(zf_stmt_2, axiom,
84.63/11.38	  (![X4:$i]:
84.63/11.38	   ( ( in @ X4 @ nat ) =>
84.63/11.38	     ( ![X6:$i]:
84.63/11.38	       ( ( in @ X6 @ nat ) => ( ( n_pl @ X4 @ X6 ) = ( n_pl @ X6 @ X4 ) ) ) ) ))).
84.63/11.38	thf(zip_derived_cl173, plain,
84.63/11.38	    ( (((!!) @ (^[Y0 : $i]:
84.63/11.38	                  (((in @ Y0 @ nat) =>
84.63/11.38	                    (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                (((in @ Y1 @ nat) =>
84.63/11.38	                                  (((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0)))))))))))))),
84.63/11.38	    inference('cnf', [status(esa)], [zf_stmt_2])).
84.63/11.38	thf(zip_derived_cl1064, plain,
84.63/11.38	    (![X2 : $i]:
84.63/11.38	        (((in @ X2 @ nat) =>
84.63/11.38	          (((!!) @ (^[Y0 : $i]:
84.63/11.38	                      (((in @ Y0 @ nat) =>
84.63/11.38	                        (((n_pl @ X2 @ Y0) = (n_pl @ Y0 @ X2))))))))))),
84.63/11.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl173])).
84.63/11.38	thf(zip_derived_cl1065, plain,
84.63/11.38	    (![X2 : $i]:
84.63/11.38	       (~ (in @ X2 @ nat)
84.63/11.38	        |  (((!!) @ (^[Y0 : $i]:
84.63/11.38	                       (((in @ Y0 @ nat) =>
84.63/11.38	                         (((n_pl @ X2 @ Y0) = (n_pl @ Y0 @ X2)))))))))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1064])).
84.63/11.38	thf(zip_derived_cl1066, plain,
84.63/11.38	    (![X2 : $i, X4 : $i]:
84.63/11.38	       ( (((in @ X4 @ nat) => (((n_pl @ X2 @ X4) = (n_pl @ X4 @ X2)))))
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1065])).
84.63/11.38	thf(zip_derived_cl1067, plain,
84.63/11.38	    (![X2 : $i, X4 : $i]:
84.63/11.38	       (~ (in @ X4 @ nat)
84.63/11.38	        |  (((n_pl @ X2 @ X4) = (n_pl @ X4 @ X2)))
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1066])).
84.63/11.38	thf(zip_derived_cl1068, plain,
84.63/11.38	    (![X2 : $i, X4 : $i]:
84.63/11.38	       (~ (in @ X4 @ nat)
84.63/11.38	        | ((n_pl @ X2 @ X4) = (n_pl @ X4 @ X2))
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl1067])).
84.63/11.38	thf(zip_derived_cl3436, plain,
84.63/11.38	    ((((n_pl @ '#sk3812' @ '#sk3810') = (n_pl @ '#sk3811' @ '#sk3812'))
84.63/11.38	      | ~ (in @ '#sk3812' @ nat)
84.63/11.38	      | ~ (in @ '#sk3810' @ nat))),
84.63/11.38	    inference('sup+', [status(thm)], [zip_derived_cl3000, zip_derived_cl1068])).
84.63/11.38	thf(zip_derived_cl2996, plain, ( (in @ '#sk3812' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2995])).
84.63/11.38	thf(zip_derived_cl2990, plain, ( (in @ '#sk3810' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2989])).
84.63/11.38	thf(zip_derived_cl3465, plain,
84.63/11.38	    (((n_pl @ '#sk3812' @ '#sk3810') = (n_pl @ '#sk3811' @ '#sk3812'))),
84.63/11.38	    inference('demod', [status(thm)],
84.63/11.38	              [zip_derived_cl3436, zip_derived_cl2996, zip_derived_cl2990])).
84.63/11.38	thf(zip_derived_cl3000, plain,
84.63/11.38	    (((n_pl @ '#sk3810' @ '#sk3812') = (n_pl @ '#sk3811' @ '#sk3812'))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl2998])).
84.63/11.38	thf(zip_derived_cl1068, plain,
84.63/11.38	    (![X2 : $i, X4 : $i]:
84.63/11.38	       (~ (in @ X4 @ nat)
84.63/11.38	        | ((n_pl @ X2 @ X4) = (n_pl @ X4 @ X2))
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl1067])).
84.63/11.38	thf(zip_derived_cl3441, plain,
84.63/11.38	    ((((n_pl @ '#sk3812' @ '#sk3811') = (n_pl @ '#sk3810' @ '#sk3812'))
84.63/11.38	      | ~ (in @ '#sk3812' @ nat)
84.63/11.38	      | ~ (in @ '#sk3811' @ nat))),
84.63/11.38	    inference('sup+', [status(thm)], [zip_derived_cl3000, zip_derived_cl1068])).
84.63/11.38	thf(zip_derived_cl2996, plain, ( (in @ '#sk3812' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2995])).
84.63/11.38	thf(zip_derived_cl2993, plain, ( (in @ '#sk3811' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2992])).
84.63/11.38	thf(zip_derived_cl3471, plain,
84.63/11.38	    (((n_pl @ '#sk3812' @ '#sk3811') = (n_pl @ '#sk3810' @ '#sk3812'))),
84.63/11.38	    inference('demod', [status(thm)],
84.63/11.38	              [zip_derived_cl3441, zip_derived_cl2996, zip_derived_cl2993])).
84.63/11.38	thf(zip_derived_cl3000, plain,
84.63/11.38	    (((n_pl @ '#sk3810' @ '#sk3812') = (n_pl @ '#sk3811' @ '#sk3812'))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl2998])).
84.63/11.38	thf(zip_derived_cl3648, plain,
84.63/11.38	    (((n_pl @ '#sk3812' @ '#sk3811') = (n_pl @ '#sk3811' @ '#sk3812'))),
84.63/11.38	    inference('sup+', [status(thm)], [zip_derived_cl3471, zip_derived_cl3000])).
84.63/11.38	thf(satz8a, axiom,
84.63/11.38	  (all_of @
84.63/11.38	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
84.63/11.38	   ( ^[X0:$i]:
84.63/11.38	     ( all_of @
84.63/11.38	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
84.63/11.38	       ( ^[X1:$i]:
84.63/11.38	         ( all_of @
84.63/11.38	           ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 
84.63/11.38	           ( ^[X2:$i]:
84.63/11.38	             ( ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X0 @ X2 ) ) =>
84.63/11.38	               ( n_is @ X1 @ X2 ) ) ) ) ) ) ))).
84.63/11.38	thf(zf_stmt_3, axiom,
84.63/11.38	  (![X4:$i]:
84.63/11.38	   ( ( in @ X4 @ nat ) =>
84.63/11.38	     ( ![X6:$i]:
84.63/11.38	       ( ( in @ X6 @ nat ) =>
84.63/11.38	         ( ![X8:$i]:
84.63/11.38	           ( ( in @ X8 @ nat ) =>
84.63/11.38	             ( ( ( n_pl @ X4 @ X6 ) = ( n_pl @ X4 @ X8 ) ) =>
84.63/11.38	               ( ( X6 ) = ( X8 ) ) ) ) ) ) ) ))).
84.63/11.38	thf(zip_derived_cl128, plain,
84.63/11.38	    ( (((!!) @ (^[Y0 : $i]:
84.63/11.38	                  (((in @ Y0 @ nat) =>
84.63/11.38	                    (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                (((in @ Y1 @ nat) =>
84.63/11.38	                                  (((!!) @ (^[Y2 : $i]:
84.63/11.38	                                              (((in @ Y2 @ nat) =>
84.63/11.38	                                                (((((n_pl @ Y0 @ Y1) =
84.63/11.38	                                                    (n_pl @ Y0 @ Y2))) =>
84.63/11.38	                                                  (((Y1) = (Y2))))))))))))))))))))),
84.63/11.38	    inference('cnf', [status(esa)], [zf_stmt_3])).
84.63/11.38	thf(zip_derived_cl5292, plain,
84.63/11.38	    (![X2 : $i]:
84.63/11.38	        (((in @ X2 @ nat) =>
84.63/11.38	          (((!!) @ (^[Y0 : $i]:
84.63/11.38	                      (((in @ Y0 @ nat) =>
84.63/11.38	                        (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                    (((in @ Y1 @ nat) =>
84.63/11.38	                                      (((((n_pl @ X2 @ Y0) = (n_pl @ X2 @ Y1))) =>
84.63/11.38	                                        (((Y0) = (Y1)))))))))))))))))),
84.63/11.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl128])).
84.63/11.38	thf(zip_derived_cl5293, plain,
84.63/11.38	    (![X2 : $i]:
84.63/11.38	       (~ (in @ X2 @ nat)
84.63/11.38	        |  (((!!) @ (^[Y0 : $i]:
84.63/11.38	                       (((in @ Y0 @ nat) =>
84.63/11.38	                         (((!!) @ (^[Y1 : $i]:
84.63/11.38	                                     (((in @ Y1 @ nat) =>
84.63/11.38	                                       (((((n_pl @ X2 @ Y0) = (n_pl @ X2 @ 
84.63/11.38	                                           Y1))) =>
84.63/11.38	                                         (((Y0) = (Y1))))))))))))))))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5292])).
84.63/11.38	thf(zip_derived_cl5294, plain,
84.63/11.38	    (![X2 : $i, X4 : $i]:
84.63/11.38	       ( (((in @ X4 @ nat) =>
84.63/11.38	           (((!!) @ (^[Y0 : $i]:
84.63/11.38	                       (((in @ Y0 @ nat) =>
84.63/11.38	                         (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ Y0))) =>
84.63/11.38	                           (((X4) = (Y0))))))))))))
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5293])).
84.63/11.38	thf(zip_derived_cl5295, plain,
84.63/11.38	    (![X2 : $i, X4 : $i]:
84.63/11.38	       (~ (in @ X4 @ nat)
84.63/11.38	        |  (((!!) @ (^[Y0 : $i]:
84.63/11.38	                       (((in @ Y0 @ nat) =>
84.63/11.38	                         (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ Y0))) =>
84.63/11.38	                           (((X4) = (Y0))))))))))
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5294])).
84.63/11.38	thf(zip_derived_cl5296, plain,
84.63/11.38	    (![X2 : $i, X4 : $i, X6 : $i]:
84.63/11.38	       ( (((in @ X6 @ nat) =>
84.63/11.38	           (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ X6))) => (((X4) = (X6)))))))
84.63/11.38	        | ~ (in @ X2 @ nat)
84.63/11.38	        | ~ (in @ X4 @ nat))),
84.63/11.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5295])).
84.63/11.38	thf(zip_derived_cl5297, plain,
84.63/11.38	    (![X2 : $i, X4 : $i, X6 : $i]:
84.63/11.38	       (~ (in @ X6 @ nat)
84.63/11.38	        |  (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ X6))) => (((X4) = (X6)))))
84.63/11.38	        | ~ (in @ X4 @ nat)
84.63/11.38	        | ~ (in @ X2 @ nat))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5296])).
84.63/11.38	thf(zip_derived_cl5298, plain,
84.63/11.38	    (![X2 : $i, X4 : $i, X6 : $i]:
84.63/11.38	       (~ (((n_pl @ X2 @ X4) = (n_pl @ X2 @ X6)))
84.63/11.38	        |  (((X4) = (X6)))
84.63/11.38	        | ~ (in @ X2 @ nat)
84.63/11.38	        | ~ (in @ X4 @ nat)
84.63/11.38	        | ~ (in @ X6 @ nat))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5297])).
84.63/11.38	thf(zip_derived_cl5299, plain,
84.63/11.38	    (![X2 : $i, X4 : $i, X6 : $i]:
84.63/11.38	       (((n_pl @ X2 @ X4) != (n_pl @ X2 @ X6))
84.63/11.38	        | ((X4) = (X6))
84.63/11.38	        | ~ (in @ X2 @ nat)
84.63/11.38	        | ~ (in @ X4 @ nat)
84.63/11.38	        | ~ (in @ X6 @ nat))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl5298])).
84.63/11.38	thf(zip_derived_cl5300, plain,
84.63/11.38	    (![X0 : $i]:
84.63/11.38	       (((n_pl @ '#sk3812' @ X0) != (n_pl @ '#sk3811' @ '#sk3812'))
84.63/11.38	        | ~ (in @ '#sk3811' @ nat)
84.63/11.38	        | ~ (in @ X0 @ nat)
84.63/11.38	        | ~ (in @ '#sk3812' @ nat)
84.63/11.38	        | ((X0) = ('#sk3811')))),
84.63/11.38	    inference('sup-', [status(thm)], [zip_derived_cl3648, zip_derived_cl5299])).
84.63/11.38	thf(zip_derived_cl2993, plain, ( (in @ '#sk3811' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2992])).
84.63/11.38	thf(zip_derived_cl2996, plain, ( (in @ '#sk3812' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2995])).
84.63/11.38	thf(zip_derived_cl5338, plain,
84.63/11.38	    (![X0 : $i]:
84.63/11.38	       (((n_pl @ '#sk3812' @ X0) != (n_pl @ '#sk3811' @ '#sk3812'))
84.63/11.38	        | ~ (in @ X0 @ nat)
84.63/11.38	        | ((X0) = ('#sk3811')))),
84.63/11.38	    inference('demod', [status(thm)],
84.63/11.38	              [zip_derived_cl5300, zip_derived_cl2993, zip_derived_cl2996])).
84.63/11.38	thf(zip_derived_cl6116, plain,
84.63/11.38	    ((((n_pl @ '#sk3811' @ '#sk3812') != (n_pl @ '#sk3811' @ '#sk3812'))
84.63/11.38	      | (('#sk3810') = ('#sk3811'))
84.63/11.38	      | ~ (in @ '#sk3810' @ nat))),
84.63/11.38	    inference('sup-', [status(thm)], [zip_derived_cl3465, zip_derived_cl5338])).
84.63/11.38	thf(zip_derived_cl2990, plain, ( (in @ '#sk3810' @ nat)),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2989])).
84.63/11.38	thf(zip_derived_cl6133, plain,
84.63/11.38	    ((((n_pl @ '#sk3811' @ '#sk3812') != (n_pl @ '#sk3811' @ '#sk3812'))
84.63/11.38	      | (('#sk3810') = ('#sk3811')))),
84.63/11.38	    inference('demod', [status(thm)],
84.63/11.38	              [zip_derived_cl6116, zip_derived_cl2990])).
84.63/11.38	thf(zip_derived_cl6134, plain, ((('#sk3810') = ('#sk3811'))),
84.63/11.38	    inference('simplify', [status(thm)], [zip_derived_cl6133])).
84.63/11.38	thf(zip_derived_cl2999, plain, (~ ((('#sk3810') = ('#sk3811')))),
84.63/11.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2997])).
84.63/11.38	thf(zip_derived_cl3001, plain, ((('#sk3810') != ('#sk3811'))),
84.63/11.38	    inference('simplify nested equalities', [status(thm)],
84.63/11.38	              [zip_derived_cl2999])).
84.63/11.38	thf(zip_derived_cl6135, plain, ($false),
84.63/11.38	    inference('simplify_reflect-', [status(thm)],
84.63/11.38	              [zip_derived_cl6134, zip_derived_cl3001])).
84.63/11.38	
84.63/11.38	% SZS output end Refutation
84.63/11.38	
84.63/11.38	
84.63/11.38	% Terminating...
14.20/11.43	% Runner terminated.
14.20/11.45	% Zipperpin 1.5 exiting
14.20/11.46	EOF