0.06/0.11	% 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.NB7ZwPAhOr true
0.12/0.34	% Computer : n009.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 960
0.12/0.34	% WCLimit  : 120
0.12/0.34	% DateTime : Tue Aug  9 06:43:35 EDT 2022
0.12/0.34	% CPUTime  : 
0.12/0.34	% Running portfolio for 960 s
0.12/0.34	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.12/0.34	% Number of cores: 8
0.12/0.34	% Python version: Python 3.6.8
0.12/0.34	% Running in HO mode
0.50/0.64	% Total configuration time : 828
0.50/0.64	% Estimated wc time : 1656
0.50/0.64	% Estimated cpu time (8 cpus) : 207.0
0.50/0.70	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.50/0.71	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.50/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.50/0.73	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
0.50/0.73	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
60.08/8.15	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
91.19/12.06	% Solved by lams/35_full_unif4.sh.
91.19/12.06	% done 719 iterations in 11.303s
91.19/12.06	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
91.19/12.06	% SZS output start Refutation
91.19/12.06	thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
91.19/12.06	thf(n_is_type, type, n_is: $i > $i > $o).
91.19/12.06	thf(n_1_type, type, n_1: $i).
91.19/12.06	thf(l_or_type, type, l_or: $o > $o > $o).
91.19/12.06	thf('#sk2846_type', type, '#sk2846': $i).
91.19/12.06	thf(nis_type, type, nis: $i > $i > $o).
91.19/12.06	thf('#sk2169_type', type, '#sk2169': $i > $i).
91.19/12.06	thf(in_type, type, in: $i > $i > $o).
91.19/12.06	thf(imp_type, type, imp: $o > $o > $o).
91.19/12.06	thf(lessis_type, type, lessis: $i > $i > $o).
91.19/12.06	thf(nat_type, type, nat: $i).
91.19/12.06	thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
91.19/12.06	thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
91.19/12.06	thf(e_is_type, type, e_is: $i > $i > $i > $o).
91.19/12.06	thf(non_type, type, non: $i > ($i > $o) > $i > $o).
91.19/12.06	thf(n_some_type, type, n_some: ($i > $o) > $o).
91.19/12.06	thf(ordsucc_type, type, ordsucc: $i > $i).
91.19/12.06	thf('#sk395_type', type, '#sk395': $i).
91.19/12.06	thf(n_pl_type, type, n_pl: $i > $i > $i).
91.19/12.06	thf(iii_type, type, iii: $i > $i > $o).
91.19/12.06	thf(d_not_type, type, d_not: $o > $o).
91.19/12.06	thf(emptyset_type, type, emptyset: $i).
91.19/12.06	thf(diffprop_type, type, diffprop: $i > $i > $i > $o).
91.19/12.06	thf(def_lessis, axiom,(( lessis  ) =
91.19/12.06	  (^[X0:$i,X1:$i]: ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) )))).
91.19/12.06	thf(def_iii, axiom,(( iii  ) =
91.19/12.06	  (^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X1 @ X0 ) )))).
91.19/12.06	thf(def_diffprop, axiom,(( diffprop  ) =
91.19/12.06	  (^[X0:$i,X1:$i,X2:$i]: ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) )))).
91.19/12.06	thf(def_n_is, axiom,(( n_is  ) = (e_is @ nat))).
91.19/12.06	thf(def_e_is, axiom,(( e_is  ) = (^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) )))).
91.19/12.06	thf('0', plain, (( e_is ) = ( ^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_e_is])).
91.19/12.06	thf('1', plain,
91.19/12.06	    (( e_is ) = ( ^[V_1:$i,V_2:$i,V_3:$i]: ( ( V_2 ) = ( V_3 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('2', plain, (( n_is ) = ( e_is @ nat )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_n_is, '1'])).
91.19/12.06	thf('3', plain, (( n_is ) = ( e_is @ nat )), define([status(thm)])).
91.19/12.06	thf('4', plain,
91.19/12.06	    (( diffprop ) =
91.19/12.06	     ( ^[X0:$i,X1:$i,X2:$i]: ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_diffprop, '3', '1'])).
91.19/12.06	thf('5', plain,
91.19/12.06	    (( diffprop ) =
91.19/12.06	     ( ^[V_1:$i,V_2:$i,V_3:$i]: ( n_is @ V_1 @ ( n_pl @ V_2 @ V_3 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf(def_n_some, axiom,(( n_some  ) = (l_some @ nat))).
91.19/12.06	thf(def_l_some, axiom,(( l_some  ) =
91.19/12.06	  (^[X0:$i,X1:( $i > $o )]:
91.19/12.06	   ( d_not @ ( all_of @ ( ^[X2:$i]: ( in @ X2 @ X0 ) ) @ ( non @ X0 @ X1 ) ) )))).
91.19/12.06	thf(def_non, axiom,(( non  ) =
91.19/12.06	  (^[X0:$i,X1:( $i > $o ),X2:$i]: ( d_not @ ( X1 @ X2 ) )))).
91.19/12.06	thf(def_d_not, axiom,(( d_not  ) = (^[X0:$o]: ( imp @ X0 @ $false )))).
91.19/12.06	thf(def_imp, axiom,(( imp  ) = (^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) )))).
91.19/12.06	thf('6', plain, (( imp ) = ( ^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_imp])).
91.19/12.06	thf('7', plain, (( imp ) = ( ^[V_1:$o,V_2:$o]: ( ( V_1 ) => ( V_2 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('8', plain, (( d_not ) = ( ^[X0:$o]: ( imp @ X0 @ $false ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_d_not, '7'])).
91.19/12.06	thf('9', plain, (( d_not ) = ( ^[V_1:$o]: ( imp @ V_1 @ $false ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('10', plain,
91.19/12.06	    (( non ) = ( ^[X0:$i,X1:( $i > $o ),X2:$i]: ( d_not @ ( X1 @ X2 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_non, '9', '7'])).
91.19/12.06	thf('11', plain,
91.19/12.06	    (( non ) =
91.19/12.06	     ( ^[V_1:$i,V_2:( $i > $o ),V_3:$i]: ( d_not @ ( V_2 @ V_3 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf(def_all_of, axiom,(( all_of  ) =
91.19/12.06	  (^[X0:( $i > $o ),X1:( $i > $o )]:
91.19/12.06	   ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))).
91.19/12.06	thf(def_is_of, axiom,(( is_of  ) = (^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 )))).
91.19/12.06	thf('12', plain, (( is_of ) = ( ^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_is_of])).
91.19/12.06	thf('13', plain, (( is_of ) = ( ^[V_1:$i,V_2:( $i > $o )]: ( V_2 @ V_1 ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('14', plain,
91.19/12.06	    (( all_of ) =
91.19/12.06	     ( ^[X0:( $i > $o ),X1:( $i > $o )]:
91.19/12.06	       ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_all_of, '13'])).
91.19/12.06	thf('15', plain,
91.19/12.06	    (( all_of ) =
91.19/12.06	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
91.19/12.06	       ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('16', plain,
91.19/12.06	    (( l_some ) =
91.19/12.06	     ( ^[X0:$i,X1:( $i > $o )]:
91.19/12.06	       ( d_not @
91.19/12.06	         ( all_of @ ( ^[X2:$i]: ( in @ X2 @ X0 ) ) @ ( non @ X0 @ X1 ) ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)],
91.19/12.06	              [def_l_some, '11', '9', '7', '15', '13'])).
91.19/12.06	thf('17', plain,
91.19/12.06	    (( l_some ) =
91.19/12.06	     ( ^[V_1:$i,V_2:( $i > $o )]:
91.19/12.06	       ( d_not @
91.19/12.06	         ( all_of @ ( ^[V_3:$i]: ( in @ V_3 @ V_1 ) ) @ ( non @ V_1 @ V_2 ) ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('18', plain, (( n_some ) = ( l_some @ nat )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)],
91.19/12.06	              [def_n_some, '17', '11', '9', '7', '15', '13'])).
91.19/12.06	thf('19', plain, (( n_some ) = ( l_some @ nat )), define([status(thm)])).
91.19/12.06	thf('20', plain,
91.19/12.06	    (( iii ) = ( ^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X1 @ X0 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)],
91.19/12.06	              [def_iii, '5', '19', '3', '1', '17', '11', '9', '7', '15', '13'])).
91.19/12.06	thf('21', plain,
91.19/12.06	    (( iii ) = ( ^[V_1:$i,V_2:$i]: ( n_some @ ( diffprop @ V_2 @ V_1 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf(def_l_or, axiom,(( l_or  ) = (^[X0:$o]: ( imp @ ( d_not @ X0 ) )))).
91.19/12.06	thf('22', plain, (( l_or ) = ( ^[X0:$o]: ( imp @ ( d_not @ X0 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_l_or, '9', '7'])).
91.19/12.06	thf('23', plain, (( l_or ) = ( ^[V_1:$o]: ( imp @ ( d_not @ V_1 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf('24', plain,
91.19/12.06	    (( lessis ) =
91.19/12.06	     ( ^[X0:$i,X1:$i]: ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)],
91.19/12.06	              [def_lessis, '21', '5', '19', '3', '1', '17', '11', '23', '9', 
91.19/12.06	               '7', '15', '13'])).
91.19/12.06	thf('25', plain,
91.19/12.06	    (( lessis ) =
91.19/12.06	     ( ^[V_1:$i,V_2:$i]:
91.19/12.06	       ( l_or @ ( iii @ V_1 @ V_2 ) @ ( n_is @ V_1 @ V_2 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf(satz24a, conjecture,
91.19/12.06	  (all_of @ ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ ( lessis @ n_1 ))).
91.19/12.06	thf(zf_stmt_0, conjecture,
91.19/12.06	  (![X4:$i]:
91.19/12.06	   ( ( in @ X4 @ nat ) =>
91.19/12.06	     ( ( ![X6:$i]: ( ( in @ X6 @ nat ) => ( ( X4 ) != ( n_pl @ n_1 @ X6 ) ) ) ) =>
91.19/12.06	       ( ( n_1 ) = ( X4 ) ) ) ))).
91.19/12.06	thf(zf_stmt_1, negated_conjecture,
91.19/12.06	  (~( ![X4:$i]:
91.19/12.06	      ( ( in @ X4 @ nat ) =>
91.19/12.06	        ( ( ![X6:$i]:
91.19/12.06	            ( ( in @ X6 @ nat ) => ( ( X4 ) != ( n_pl @ n_1 @ X6 ) ) ) ) =>
91.19/12.06	          ( ( n_1 ) = ( X4 ) ) ) ) )),
91.19/12.06	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
91.19/12.06	thf(zip_derived_cl180, plain,
91.19/12.06	    (~ (((!!) @ (^[Y0 : $i]:
91.19/12.06	                   (((in @ Y0 @ nat) =>
91.19/12.06	                     (((((!!) @ (^[Y1 : $i]:
91.19/12.06	                                   (((in @ Y1 @ nat) =>
91.19/12.06	                                     (((Y0) != (n_pl @ n_1 @ Y1)))))))) =>
91.19/12.06	                       (((n_1) = (Y0))))))))))),
91.19/12.06	    inference('cnf', [status(esa)], [zf_stmt_1])).
91.19/12.06	thf(zip_derived_cl718, plain,
91.19/12.06	    (~ (((in @ '#sk395' @ nat) =>
91.19/12.06	         (((((!!) @ (^[Y0 : $i]:
91.19/12.06	                       (((in @ Y0 @ nat) =>
91.19/12.06	                         ((('#sk395') != (n_pl @ n_1 @ Y0)))))))) =>
91.19/12.06	           (((n_1) = ('#sk395')))))))),
91.19/12.06	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl180])).
91.19/12.06	thf(zip_derived_cl719, plain, ( (in @ '#sk395' @ nat)),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl718])).
91.19/12.06	thf(def_nis, axiom,(( nis  ) =
91.19/12.06	  (^[X0:$i,X1:$i]: ( d_not @ ( n_is @ X0 @ X1 ) )))).
91.19/12.06	thf('26', plain,
91.19/12.06	    (( nis ) = ( ^[X0:$i,X1:$i]: ( d_not @ ( n_is @ X0 @ X1 ) ) )),
91.19/12.06	    inference('simplify_rw_rule', [status(thm)], [def_nis, '3', '1', '9'])).
91.19/12.06	thf('27', plain,
91.19/12.06	    (( nis ) = ( ^[V_1:$i,V_2:$i]: ( d_not @ ( n_is @ V_1 @ V_2 ) ) )),
91.19/12.06	    define([status(thm)])).
91.19/12.06	thf(satz3, axiom,
91.19/12.06	  (all_of @
91.19/12.06	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
91.19/12.06	   ( ^[X0:$i]:
91.19/12.06	     ( ( nis @ X0 @ n_1 ) =>
91.19/12.06	       ( n_some @ ( ^[X1:$i]: ( n_is @ X0 @ ( ordsucc @ X1 ) ) ) ) ) ))).
91.19/12.06	thf(zf_stmt_2, axiom,
91.19/12.06	  (![X4:$i]:
91.19/12.06	   ( ( in @ X4 @ nat ) =>
91.19/12.06	     ( ( ( X4 ) != ( n_1 ) ) =>
91.19/12.06	       ( ~( ![X6:$i]: ( ( in @ X6 @ nat ) => ( ( X4 ) != ( ordsucc @ X6 ) ) ) ) ) ) ))).
91.19/12.06	thf(zip_derived_cl135, plain,
91.19/12.06	    ( (((!!) @ (^[Y0 : $i]:
91.19/12.06	                  (((in @ Y0 @ nat) =>
91.19/12.06	                    (((((Y0) != (n_1))) =>
91.19/12.06	                      (((~) @ (((!!) @ (^[Y1 : $i]:
91.19/12.06	                                          (((in @ Y1 @ nat) =>
91.19/12.06	                                            (((Y0) != (ordsucc @ Y1)))))))))))))))))),
91.19/12.06	    inference('cnf', [status(esa)], [zf_stmt_2])).
91.19/12.06	thf(zip_derived_cl2202, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	        (((in @ X2 @ nat) =>
91.19/12.06	          (((((X2) != (n_1))) =>
91.19/12.06	            (((~) @ (((!!) @ (^[Y0 : $i]:
91.19/12.06	                                (((in @ Y0 @ nat) =>
91.19/12.06	                                  (((X2) != (ordsucc @ Y0))))))))))))))),
91.19/12.06	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl135])).
91.19/12.06	thf(zip_derived_cl2203, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (~ (in @ X2 @ nat)
91.19/12.06	        |  (((((X2) != (n_1))) =>
91.19/12.06	             (((~) @ (((!!) @ (^[Y0 : $i]:
91.19/12.06	                                 (((in @ Y0 @ nat) =>
91.19/12.06	                                   (((X2) != (ordsucc @ Y0)))))))))))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2202])).
91.19/12.06	thf(zip_derived_cl2204, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (~ (((X2) != (n_1)))
91.19/12.06	        | ~ (((!!) @ (^[Y0 : $i]:
91.19/12.06	                        (((in @ Y0 @ nat) => (((X2) != (ordsucc @ Y0))))))))
91.19/12.06	        | ~ (in @ X2 @ nat))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2203])).
91.19/12.06	thf(zip_derived_cl2205, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (((X2) = (n_1))
91.19/12.06	        | ~ (((!!) @ (^[Y0 : $i]:
91.19/12.06	                        (((in @ Y0 @ nat) => (((X2) != (ordsucc @ Y0))))))))
91.19/12.06	        | ~ (in @ X2 @ nat))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl2204])).
91.19/12.06	thf(zip_derived_cl2206, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (~ (((in @ ('#sk2169' @ X2) @ nat) =>
91.19/12.06	            (((X2) != (ordsucc @ ('#sk2169' @ X2))))))
91.19/12.06	        | ~ (in @ X2 @ nat)
91.19/12.06	        | ((X2) = (n_1)))),
91.19/12.06	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2205])).
91.19/12.06	thf(zip_derived_cl2208, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (~ (((X2) != (ordsucc @ ('#sk2169' @ X2))))
91.19/12.06	        | ((X2) = (n_1))
91.19/12.06	        | ~ (in @ X2 @ nat))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2206])).
91.19/12.06	thf(zip_derived_cl2209, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (((X2) = (ordsucc @ ('#sk2169' @ X2)))
91.19/12.06	        | ((X2) = (n_1))
91.19/12.06	        | ~ (in @ X2 @ nat))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl2208])).
91.19/12.06	thf(zip_derived_cl7422, plain,
91.19/12.06	    (((('#sk395') = (n_1))
91.19/12.06	      | (('#sk395') = (ordsucc @ ('#sk2169' @ '#sk395'))))),
91.19/12.06	    inference('sup-', [status(thm)], [zip_derived_cl719, zip_derived_cl2209])).
91.19/12.06	thf(def_n_1, axiom, (( n_1 ) = ( ordsucc @ emptyset ))).
91.19/12.06	thf(zip_derived_cl47, plain, (((n_1) = (ordsucc @ emptyset))),
91.19/12.06	    inference('cnf', [status(esa)], [def_n_1])).
91.19/12.06	thf(k_In_ind, axiom,
91.19/12.06	  (![X0:( $i > $o )]:
91.19/12.06	   ( ( ![X1:$i]:
91.19/12.06	       ( ( ![X2:$i]: ( ( in @ X2 @ X1 ) => ( X0 @ X2 ) ) ) => ( X0 @ X1 ) ) ) =>
91.19/12.06	     ( ![X1:$i]: ( X0 @ X1 ) ) ))).
91.19/12.06	thf(zip_derived_cl79, plain,
91.19/12.06	    ( (((!!) @ (^[Y0 : $i > $o]:
91.19/12.06	                  (((((!!) @ (^[Y1 : $i]:
91.19/12.06	                                (((((!!) @ (^[Y2 : $i]:
91.19/12.06	                                              (((in @ Y2 @ Y1) => (Y0 @ Y2)))))) =>
91.19/12.06	                                  (Y0 @ Y1)))))) =>
91.19/12.06	                    (((!!) @ (^[Y1 : $i]: (Y0 @ Y1)))))))))),
91.19/12.06	    inference('cnf', [status(esa)], [k_In_ind])).
91.19/12.06	thf(zip_derived_cl2575, plain,
91.19/12.06	    (![X2 : $i > $o]:
91.19/12.06	        (((((!!) @ (^[Y0 : $i]:
91.19/12.06	                      (((((!!) @ (^[Y1 : $i]: (((in @ Y1 @ Y0) => (X2 @ Y1)))))) =>
91.19/12.06	                        (X2 @ Y0)))))) =>
91.19/12.06	          (((!!) @ (^[Y0 : $i]: (X2 @ Y0))))))),
91.19/12.06	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl79])).
91.19/12.06	thf(zip_derived_cl2577, plain,
91.19/12.06	    ( (((((!!) @ (^[Y0 : $i]:
91.19/12.06	                    (((((!!) @ (^[Y1 : $i]:
91.19/12.06	                                  (((in @ Y1 @ Y0) => (((Y1) != (emptyset)))))))) =>
91.19/12.06	                      (((Y0) != (emptyset)))))))) =>
91.19/12.06	        (((!!) @ (^[Y0 : $i]: (((Y0) != (emptyset))))))))),
91.19/12.06	    inference('triggered_bool_instantiation', [status(thm)],
91.19/12.06	              [zip_derived_cl2575])).
91.19/12.06	thf(zip_derived_cl3093, plain,
91.19/12.06	    ((~ (((!!) @ (^[Y0 : $i]:
91.19/12.06	                    (((((!!) @ (^[Y1 : $i]:
91.19/12.06	                                  (((in @ Y1 @ Y0) => (((Y1) != (emptyset)))))))) =>
91.19/12.06	                      (((Y0) != (emptyset))))))))
91.19/12.06	      |  (((!!) @ (^[Y0 : $i]: (((Y0) != (emptyset)))))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2577])).
91.19/12.06	thf(zip_derived_cl3094, plain,
91.19/12.06	    ((~ (((((!!) @ (^[Y0 : $i]:
91.19/12.06	                      (((in @ Y0 @ '#sk2846') => (((Y0) != (emptyset)))))))) =>
91.19/12.06	          ((('#sk2846') != (emptyset)))))
91.19/12.06	      |  (((!!) @ (^[Y0 : $i]: (((Y0) != (emptyset)))))))),
91.19/12.06	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3093])).
91.19/12.06	thf(zip_derived_cl3096, plain,
91.19/12.06	    ((~ ((('#sk2846') != (emptyset)))
91.19/12.06	      |  (((!!) @ (^[Y0 : $i]: (((Y0) != (emptyset)))))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3094])).
91.19/12.06	thf(zip_derived_cl3098, plain,
91.19/12.06	    (((('#sk2846') = (emptyset))
91.19/12.06	      |  (((!!) @ (^[Y0 : $i]: (((Y0) != (emptyset)))))))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl3096])).
91.19/12.06	thf(zip_derived_cl3099, plain,
91.19/12.06	    (![X2 : $i]: ( (((X2) != (emptyset))) | (('#sk2846') = (emptyset)))),
91.19/12.06	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3098])).
91.19/12.06	thf(zip_derived_cl3101, plain,
91.19/12.06	    (![X2 : $i]: (((X2) != (emptyset)) | (('#sk2846') = (emptyset)))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl3099])).
91.19/12.06	thf(zip_derived_cl3102, plain, ((('#sk2846') = (emptyset))),
91.19/12.06	    inference('simplify', [status(thm)], [zip_derived_cl3101])).
91.19/12.06	thf(zip_derived_cl3109, plain, (((n_1) = (ordsucc @ '#sk2846'))),
91.19/12.06	    inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl3102])).
91.19/12.06	thf(zip_derived_cl7494, plain,
91.19/12.06	    (((('#sk395') = (ordsucc @ '#sk2846'))
91.19/12.06	      | (('#sk395') = (ordsucc @ ('#sk2169' @ '#sk395'))))),
91.19/12.06	    inference('sup+', [status(thm)], [zip_derived_cl7422, zip_derived_cl3109])).
91.19/12.06	thf(zip_derived_cl720, plain,
91.19/12.06	    (~ (((((!!) @ (^[Y0 : $i]:
91.19/12.06	                     (((in @ Y0 @ nat) => ((('#sk395') != (n_pl @ n_1 @ Y0)))))))) =>
91.19/12.06	         (((n_1) = ('#sk395')))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl718])).
91.19/12.06	thf(zip_derived_cl722, plain, (~ (((n_1) = ('#sk395')))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl720])).
91.19/12.06	thf(zip_derived_cl724, plain, (((n_1) != ('#sk395'))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl722])).
91.19/12.06	thf(zip_derived_cl3109, plain, (((n_1) = (ordsucc @ '#sk2846'))),
91.19/12.06	    inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl3102])).
91.19/12.06	thf(zip_derived_cl3331, plain, (((ordsucc @ '#sk2846') != ('#sk395'))),
91.19/12.06	    inference('demod', [status(thm)], [zip_derived_cl724, zip_derived_cl3109])).
91.19/12.06	thf(zip_derived_cl7504, plain,
91.19/12.06	    ((('#sk395') = (ordsucc @ ('#sk2169' @ '#sk395')))),
91.19/12.06	    inference('simplify_reflect-', [status(thm)],
91.19/12.06	              [zip_derived_cl7494, zip_derived_cl3331])).
91.19/12.06	thf(satz4g, axiom,
91.19/12.06	  (all_of @
91.19/12.06	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
91.19/12.06	   ( ^[X0:$i]: ( n_is @ ( ordsucc @ X0 ) @ ( n_pl @ n_1 @ X0 ) ) ))).
91.19/12.06	thf(zf_stmt_3, axiom,
91.19/12.06	  (![X4:$i]:
91.19/12.06	   ( ( in @ X4 @ nat ) => ( ( ordsucc @ X4 ) = ( n_pl @ n_1 @ X4 ) ) ))).
91.19/12.06	thf(zip_derived_cl174, plain,
91.19/12.06	    ( (((!!) @ (^[Y0 : $i]:
91.19/12.06	                  (((in @ Y0 @ nat) => (((ordsucc @ Y0) = (n_pl @ n_1 @ Y0))))))))),
91.19/12.06	    inference('cnf', [status(esa)], [zf_stmt_3])).
91.19/12.06	thf(zip_derived_cl549, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	        (((in @ X2 @ nat) => (((ordsucc @ X2) = (n_pl @ n_1 @ X2)))))),
91.19/12.06	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl174])).
91.19/12.06	thf(zip_derived_cl550, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       (~ (in @ X2 @ nat) |  (((ordsucc @ X2) = (n_pl @ n_1 @ X2))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl549])).
91.19/12.06	thf(zip_derived_cl551, plain,
91.19/12.06	    (![X2 : $i]: (~ (in @ X2 @ nat) | ((ordsucc @ X2) = (n_pl @ n_1 @ X2)))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl550])).
91.19/12.06	thf(zip_derived_cl721, plain,
91.19/12.06	    ( (((!!) @ (^[Y0 : $i]:
91.19/12.06	                  (((in @ Y0 @ nat) => ((('#sk395') != (n_pl @ n_1 @ Y0))))))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl720])).
91.19/12.06	thf(zip_derived_cl723, plain,
91.19/12.06	    (![X2 : $i]:  (((in @ X2 @ nat) => ((('#sk395') != (n_pl @ n_1 @ X2)))))),
91.19/12.06	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl721])).
91.19/12.06	thf(zip_derived_cl725, plain,
91.19/12.06	    (![X2 : $i]: (~ (in @ X2 @ nat) |  ((('#sk395') != (n_pl @ n_1 @ X2))))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl723])).
91.19/12.06	thf(zip_derived_cl726, plain,
91.19/12.06	    (![X2 : $i]: (~ (in @ X2 @ nat) | (('#sk395') != (n_pl @ n_1 @ X2)))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl725])).
91.19/12.06	thf(zip_derived_cl753, plain,
91.19/12.06	    (![X0 : $i]:
91.19/12.06	       ((('#sk395') != (ordsucc @ X0))
91.19/12.06	        | ~ (in @ X0 @ nat)
91.19/12.06	        | ~ (in @ X0 @ nat))),
91.19/12.06	    inference('sup-', [status(thm)], [zip_derived_cl551, zip_derived_cl726])).
91.19/12.06	thf(zip_derived_cl757, plain,
91.19/12.06	    (![X0 : $i]: (~ (in @ X0 @ nat) | (('#sk395') != (ordsucc @ X0)))),
91.19/12.06	    inference('simplify', [status(thm)], [zip_derived_cl753])).
91.19/12.06	thf(zip_derived_cl7520, plain,
91.19/12.06	    (((('#sk395') != ('#sk395')) | ~ (in @ ('#sk2169' @ '#sk395') @ nat))),
91.19/12.06	    inference('sup-', [status(thm)], [zip_derived_cl7504, zip_derived_cl757])).
91.19/12.06	thf(zip_derived_cl719, plain, ( (in @ '#sk395' @ nat)),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl718])).
91.19/12.06	thf(zip_derived_cl2207, plain,
91.19/12.06	    (![X2 : $i]:
91.19/12.06	       ( (in @ ('#sk2169' @ X2) @ nat) | ((X2) = (n_1)) | ~ (in @ X2 @ nat))),
91.19/12.06	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2206])).
91.19/12.06	thf(zip_derived_cl2211, plain,
91.19/12.06	    (((('#sk395') = (n_1)) |  (in @ ('#sk2169' @ '#sk395') @ nat))),
91.19/12.06	    inference('sup-', [status(thm)], [zip_derived_cl719, zip_derived_cl2207])).
91.19/12.06	thf(zip_derived_cl724, plain, (((n_1) != ('#sk395'))),
91.19/12.06	    inference('simplify nested equalities', [status(thm)],
91.19/12.06	              [zip_derived_cl722])).
91.19/12.06	thf(zip_derived_cl2222, plain, ( (in @ ('#sk2169' @ '#sk395') @ nat)),
91.19/12.06	    inference('simplify_reflect-', [status(thm)],
91.19/12.06	              [zip_derived_cl2211, zip_derived_cl724])).
91.19/12.06	thf(zip_derived_cl7551, plain, ((('#sk395') != ('#sk395'))),
91.19/12.06	    inference('demod', [status(thm)],
91.19/12.06	              [zip_derived_cl7520, zip_derived_cl2222])).
91.19/12.06	thf(zip_derived_cl7552, plain, ($false),
91.19/12.06	    inference('simplify', [status(thm)], [zip_derived_cl7551])).
91.19/12.06	
91.19/12.06	% SZS output end Refutation
91.19/12.06	
91.19/12.06	
91.19/12.06	% Terminating...
91.79/12.17	% Runner terminated.
91.79/12.18	% Zipperpin 1.5 exiting
91.79/12.18	EOF