0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.15	% Command    : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ofgZoNyL00 true
0.15/0.36	% Computer   : n002.cluster.edu
0.15/0.36	% Model      : x86_64 x86_64
0.15/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory     : 8042.1875MB
0.15/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 1200
0.15/0.36	% WCLimit    : 120
0.15/0.36	% DateTime   : Tue Jul 13 13:52:03 EDT 2021
0.15/0.36	% CPUTime    : 
0.15/0.36	% Running portfolio for 120 s
0.15/0.36	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.15/0.37	% Number of cores: 8
0.15/0.37	% Python version: Python 3.6.8
0.15/0.37	% Running in HO mode
0.56/0.68	% Total configuration time : 828
0.56/0.68	% Estimated wc time : 983
0.56/0.68	% Estimated cpu time (8 cpus) : 122.875
0.57/0.71	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s
0.58/0.74	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s
0.58/0.76	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s
0.58/0.76	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s
0.58/0.76	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s
0.58/0.78	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s
0.58/0.80	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s
0.58/0.81	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s
14.19/2.40	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s
76.71/10.32	% Solved by lams/40_c.s.sh.
76.71/10.32	% running E: timeout 32 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.ofgZoNyL00/e_input26113f --cpu-limit=30 --auto-schedule -s -p
76.71/10.32	% done 646 iterations in 9.572s
76.71/10.32	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
76.71/10.32	% SZS output start Refutation
76.71/10.32	thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
76.71/10.32	thf(sk__2_type, type, sk__2: $i).
76.71/10.32	thf('#l_lift3971_type', type, '#l_lift3971': $i > $o).
76.71/10.32	thf(n_is_type, type, n_is: $i > $i > $o).
76.71/10.32	thf(sk__4_type, type, sk__4: $i).
76.71/10.32	thf(n_1_type, type, n_1: $i).
76.71/10.32	thf('#l_lift3970_type', type, '#l_lift3970': $i > $o).
76.71/10.32	thf(l_or_type, type, l_or: $o > $o > $o).
76.71/10.32	thf(moreis_type, type, moreis: $i > $i > $o).
76.71/10.32	thf(nis_type, type, nis: $i > $i > $o).
76.71/10.32	thf(in_type, type, in: $i > $i > $o).
76.71/10.32	thf(imp_type, type, imp: $o > $o > $o).
76.71/10.32	thf(lessis_type, type, lessis: $i > $i > $o).
76.71/10.32	thf(nat_type, type, nat: $i).
76.71/10.32	thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
76.71/10.32	thf(e_is_type, type, e_is: $i > $i > $i > $o).
76.71/10.32	thf(sk__3_type, type, sk__3: $i).
76.71/10.32	thf(n_some_type, type, n_some: ($i > $o) > $o).
76.71/10.32	thf(ordsucc_type, type, ordsucc: $i > $i).
76.71/10.32	thf(iii_type, type, iii: $i > $i > $o).
76.71/10.32	thf(omega_type, type, omega: $i).
76.71/10.32	thf('#l_lift3972_type', type, '#l_lift3972': $i > $i > $o).
76.71/10.32	thf(d_Sep_type, type, d_Sep: $i > ($i > $o) > $i).
76.71/10.32	thf(d_29_ii_type, type, d_29_ii: $i > $i > $o).
76.71/10.32	thf(d_not_type, type, d_not: $o > $o).
76.71/10.32	thf(emptyset_type, type, emptyset: $i).
76.71/10.32	thf(diffprop_type, type, diffprop: $i > $i > $i > $o).
76.71/10.32	thf(def_moreis, axiom,(( moreis  ) =
76.71/10.32	  (^[X0:$i,X1:$i]: ( l_or @ ( d_29_ii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) )))).
76.71/10.32	thf(def_d_29_ii, axiom,(( d_29_ii  ) =
76.71/10.32	  (^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X0 @ X1 ) )))).
76.71/10.32	thf('0', plain,
76.71/10.32	    (( d_29_ii ) = ( ^[X0:$i,X1:$i]: ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_d_29_ii])).
76.71/10.32	thf('1', plain,
76.71/10.32	    (( d_29_ii ) =
76.71/10.32	     ( ^[V_1:$i,V_2:$i]: ( n_some @ ( diffprop @ V_1 @ V_2 ) ) )),
76.71/10.32	    define([status(thm)])).thf(def_n_is, axiom,(( n_is  ) = (e_is @ nat))).
76.71/10.32	thf(def_nat, axiom,(( nat  ) =
76.71/10.32	  (d_Sep @ omega @ ( ^[X0:$i]: ( ( X0 ) != ( emptyset ) ) )))).
76.71/10.32	thf('2', plain,
76.71/10.32	    (( nat ) = ( d_Sep @ omega @ ( ^[X0:$i]: ( ( X0 ) != ( emptyset ) ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_nat])).
76.71/10.32	thf('3', plain,
76.71/10.32	    (( nat ) = ( d_Sep @ omega @ ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(def_e_is, axiom,(( e_is  ) = (^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) )))).
76.71/10.32	thf('4', plain, (( e_is ) = ( ^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_e_is])).
76.71/10.32	thf('5', plain,
76.71/10.32	    (( e_is ) = ( ^[V_1:$i,V_2:$i,V_3:$i]: ( ( V_2 ) = ( V_3 ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf('6', plain, (( n_is ) = ( e_is @ nat )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_n_is, '3', '5'])).
76.71/10.32	thf('7', plain, (( n_is ) = ( e_is @ nat )), define([status(thm)])).
76.71/10.32	thf(def_l_or, axiom,(( l_or  ) = (^[X0:$o]: ( imp @ ( d_not @ X0 ) )))).
76.71/10.32	thf(def_d_not, axiom,(( d_not  ) = (^[X0:$o]: ( imp @ X0 @ $false )))).
76.71/10.32	thf(def_imp, axiom,(( imp  ) = (^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) )))).
76.71/10.32	thf('8', plain, (( imp ) = ( ^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_imp])).
76.71/10.32	thf('9', plain, (( imp ) = ( ^[V_1:$o,V_2:$o]: ( ( V_1 ) => ( V_2 ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf('10', plain, (( d_not ) = ( ^[X0:$o]: ( imp @ X0 @ $false ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_d_not, '9'])).
76.71/10.32	thf('11', plain, (( d_not ) = ( ^[V_1:$o]: ( imp @ V_1 @ $false ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf('12', plain, (( l_or ) = ( ^[X0:$o]: ( imp @ ( d_not @ X0 ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_l_or, '11', '9'])).
76.71/10.32	thf('13', plain, (( l_or ) = ( ^[V_1:$o]: ( imp @ ( d_not @ V_1 ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf('14', plain,
76.71/10.32	    (( moreis ) =
76.71/10.32	     ( ^[X0:$i,X1:$i]: ( l_or @ ( d_29_ii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)],
76.71/10.32	              [def_moreis, '1', '7', '3', '5', '13', '11', '9'])).
76.71/10.32	thf('15', plain,
76.71/10.32	    (( moreis ) =
76.71/10.32	     ( ^[V_1:$i,V_2:$i]:
76.71/10.32	       ( l_or @ ( d_29_ii @ V_1 @ V_2 ) @ ( n_is @ V_1 @ V_2 ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(def_all_of, axiom,(( all_of  ) =
76.71/10.32	  (^[X0:( $i > $o ),X1:( $i > $o )]:
76.71/10.32	   ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))).
76.71/10.32	thf('16', plain,
76.71/10.32	    (( all_of ) =
76.71/10.32	     ( ^[X0:( $i > $o ),X1:( $i > $o )]:
76.71/10.32	       ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_all_of])).
76.71/10.32	thf('17', plain,
76.71/10.32	    (( all_of ) =
76.71/10.32	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
76.71/10.32	       ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(satz16c, conjecture,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]:
76.71/10.32	     ( all_of @
76.71/10.32	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
76.71/10.32	       ( ^[X1:$i]:
76.71/10.32	         ( all_of @
76.71/10.32	           ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 
76.71/10.32	           ( ^[X2:$i]:
76.71/10.32	             ( ( moreis @ X0 @ X1 ) =>
76.71/10.32	               ( ( d_29_ii @ X1 @ X2 ) => ( d_29_ii @ X0 @ X2 ) ) ) ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_0, conjecture,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ![X6:$i]:
76.71/10.32	       ( ( is_of @
76.71/10.32	           X6 @ 
76.71/10.32	           ( ^[V_3:$i]:
76.71/10.32	             ( in @
76.71/10.32	               V_3 @ 
76.71/10.32	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	         ( ![X8:$i]:
76.71/10.32	           ( ( is_of @
76.71/10.32	               X8 @ 
76.71/10.32	               ( ^[V_5:$i]:
76.71/10.32	                 ( in @
76.71/10.32	                   V_5 @ 
76.71/10.32	                   ( d_Sep @
76.71/10.32	                     omega @ ( ^[V_6:$i]: ( ( V_6 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	             ( ( ( ~( n_some @ ( diffprop @ X4 @ X6 ) ) ) =>
76.71/10.32	                 ( ( X4 ) = ( X6 ) ) ) =>
76.71/10.32	               ( ( n_some @ ( diffprop @ X6 @ X8 ) ) =>
76.71/10.32	                 ( n_some @ ( diffprop @ X4 @ X8 ) ) ) ) ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_1, negated_conjecture,
76.71/10.32	  (~( ![X4:$i]:
76.71/10.32	      ( ( is_of @
76.71/10.32	          X4 @ 
76.71/10.32	          ( ^[V_1:$i]:
76.71/10.32	            ( in @
76.71/10.32	              V_1 @ 
76.71/10.32	              ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	        ( ![X6:$i]:
76.71/10.32	          ( ( is_of @
76.71/10.32	              X6 @ 
76.71/10.32	              ( ^[V_3:$i]:
76.71/10.32	                ( in @
76.71/10.32	                  V_3 @ 
76.71/10.32	                  ( d_Sep @
76.71/10.32	                    omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	            ( ![X8:$i]:
76.71/10.32	              ( ( is_of @
76.71/10.32	                  X8 @ 
76.71/10.32	                  ( ^[V_5:$i]:
76.71/10.32	                    ( in @
76.71/10.32	                      V_5 @ 
76.71/10.32	                      ( d_Sep @
76.71/10.32	                        omega @ ( ^[V_6:$i]: ( ( V_6 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	                ( ( ( ~( n_some @ ( diffprop @ X4 @ X6 ) ) ) =>
76.71/10.32	                    ( ( X4 ) = ( X6 ) ) ) =>
76.71/10.32	                  ( ( n_some @ ( diffprop @ X6 @ X8 ) ) =>
76.71/10.32	                    ( n_some @ ( diffprop @ X4 @ X8 ) ) ) ) ) ) ) ) ) )),
76.71/10.32	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
76.71/10.32	thf(zip_derived_cl57, plain,
76.71/10.32	    ((((sk__2) = (sk__3)) |  (n_some @ (diffprop @ sk__2 @ sk__3)))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
76.71/10.32	thf(satz12, axiom,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]:
76.71/10.32	     ( all_of @
76.71/10.32	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
76.71/10.32	       ( ^[X1:$i]: ( ( iii @ X0 @ X1 ) => ( d_29_ii @ X1 @ X0 ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_2, axiom,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ![X6:$i]:
76.71/10.32	       ( ( is_of @
76.71/10.32	           X6 @ 
76.71/10.32	           ( ^[V_3:$i]:
76.71/10.32	             ( in @
76.71/10.32	               V_3 @ 
76.71/10.32	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	         ( ( iii @ X4 @ X6 ) => ( n_some @ ( diffprop @ X6 @ X4 ) ) ) ) ) ))).
76.71/10.32	thf(zip_derived_cl44, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ 
76.71/10.32	           (^[Y0 : $i]:
76.71/10.32	              (in @ Y0 @ 
76.71/10.32	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
76.71/10.32	        |  (n_some @ (diffprop @ X0 @ X1))
76.71/10.32	        | ~ (iii @ X1 @ X0)
76.71/10.32	        | ~ (is_of @ X1 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_2])).
76.71/10.32	thf(refis, axiom,
76.71/10.32	  (![X0:$i]:
76.71/10.32	   ( all_of @
76.71/10.32	     ( ^[X1:$i]: ( in @ X1 @ X0 ) ) @ ( ^[X1:$i]: ( e_is @ X0 @ X1 @ X1 ) ) ))).
76.71/10.32	thf(zf_stmt_3, axiom,
76.71/10.32	  (![X4:$i,X6:$i]:
76.71/10.32	   ( ( is_of @ X6 @ ( ^[V_1:$i]: ( in @ V_1 @ X4 ) ) ) => ( ( X6 ) = ( X6 ) ) ))).
76.71/10.32	thf(zip_derived_cl3, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       ($true | ~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ X1))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_3])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(def_n_1, axiom,(( n_1  ) = (ordsucc @ emptyset))).
76.71/10.32	thf('18', plain, (( n_1 ) = ( ordsucc @ emptyset )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)], [def_n_1])).
76.71/10.32	thf('19', plain, (( n_1 ) = ( ordsucc @ emptyset )), define([status(thm)])).
76.71/10.32	thf(def_nis, axiom,(( nis  ) =
76.71/10.32	  (^[X0:$i,X1:$i]: ( d_not @ ( n_is @ X0 @ X1 ) )))).
76.71/10.32	thf('20', plain,
76.71/10.32	    (( nis ) = ( ^[X0:$i,X1:$i]: ( d_not @ ( n_is @ X0 @ X1 ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)],
76.71/10.32	              [def_nis, '7', '3', '5', '11', '9'])).
76.71/10.32	thf('21', plain,
76.71/10.32	    (( nis ) = ( ^[V_1:$i,V_2:$i]: ( d_not @ ( n_is @ V_1 @ V_2 ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(n_ax3, axiom,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]: ( nis @ ( ordsucc @ X0 ) @ n_1 ) ))).
76.71/10.32	thf(zf_stmt_4, axiom,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ( ordsucc @ X4 ) != ( ordsucc @ emptyset ) ) ))).
76.71/10.32	thf(zip_derived_cl1, plain,
76.71/10.32	    (![X0 : $i]:
76.71/10.32	       (((ordsucc @ X0) != (ordsucc @ emptyset))
76.71/10.32	        | ~ (is_of @ X0 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_4])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6208, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))
76.71/10.32	        |  (n_some @ (diffprop @ X0 @ X1))
76.71/10.32	        | ~ (iii @ X1 @ X0)
76.71/10.32	        | ~ (is_of @ X1 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970'))))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl44, zip_derived_cl6170, zip_derived_cl6167, 
76.71/10.32	               zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(zip_derived_cl53, plain,
76.71/10.32	    ( (is_of @ sk__2 @ 
76.71/10.32	       (^[Y0 : $i]:
76.71/10.32	          (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6217, plain,
76.71/10.32	    ( (is_of @ sk__2 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl53, zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(zip_derived_cl56, plain, (~ (n_some @ (diffprop @ sk__2 @ sk__4))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
76.71/10.32	thf(zip_derived_cl55, plain, ( (n_some @ (diffprop @ sk__3 @ sk__4))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
76.71/10.32	thf(satz11, axiom,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]:
76.71/10.32	     ( all_of @
76.71/10.32	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
76.71/10.32	       ( ^[X1:$i]: ( ( d_29_ii @ X0 @ X1 ) => ( iii @ X1 @ X0 ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_5, axiom,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ![X6:$i]:
76.71/10.32	       ( ( is_of @
76.71/10.32	           X6 @ 
76.71/10.32	           ( ^[V_3:$i]:
76.71/10.32	             ( in @
76.71/10.32	               V_3 @ 
76.71/10.32	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	         ( ( n_some @ ( diffprop @ X4 @ X6 ) ) => ( iii @ X6 @ X4 ) ) ) ) ))).
76.71/10.32	thf(zip_derived_cl17, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ 
76.71/10.32	           (^[Y0 : $i]:
76.71/10.32	              (in @ Y0 @ 
76.71/10.32	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
76.71/10.32	        |  (iii @ X0 @ X1)
76.71/10.32	        | ~ (n_some @ (diffprop @ X1 @ X0))
76.71/10.32	        | ~ (is_of @ X1 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_5])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6180, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))
76.71/10.32	        |  (iii @ X0 @ X1)
76.71/10.32	        | ~ (n_some @ (diffprop @ X1 @ X0))
76.71/10.32	        | ~ (is_of @ X1 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970'))))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl17, zip_derived_cl6170, zip_derived_cl6167, 
76.71/10.32	               zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(zip_derived_cl54, plain,
76.71/10.32	    ( (is_of @ sk__4 @ 
76.71/10.32	       (^[Y0 : $i]:
76.71/10.32	          (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6218, plain,
76.71/10.32	    ( (is_of @ sk__4 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl54, zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(zip_derived_cl58, plain,
76.71/10.32	    ( (is_of @ sk__3 @ 
76.71/10.32	       (^[Y0 : $i]:
76.71/10.32	          (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_1])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6219, plain,
76.71/10.32	    ( (is_of @ sk__3 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl58, zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(zip_derived_cl3, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       ($true | ~ (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ X1))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_3])).
76.71/10.32	thf(zip_derived_cl1, plain,
76.71/10.32	    (![X0 : $i]:
76.71/10.32	       (((ordsucc @ X0) != (ordsucc @ emptyset))
76.71/10.32	        | ~ (is_of @ X0 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_4])).
76.71/10.32	thf(zip_derived_cl6168, plain,
76.71/10.32	    (![X2 : $i]:
76.71/10.32	       (('#l_lift3971' @ X2) = (in @ X2 @ (d_Sep @ omega @ '#l_lift3970')))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6171, plain,
76.71/10.32	    ((('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')) = ('#l_lift3971'))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(def_lessis, axiom,(( lessis  ) =
76.71/10.32	  (^[X0:$i,X1:$i]: ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) )))).
76.71/10.32	thf('22', plain,
76.71/10.32	    (( lessis ) =
76.71/10.32	     ( ^[X0:$i,X1:$i]: ( l_or @ ( iii @ X0 @ X1 ) @ ( n_is @ X0 @ X1 ) ) )),
76.71/10.32	    inference('simplify_rw_rule', [status(thm)],
76.71/10.32	              [def_lessis, '7', '3', '5', '13', '11', '9'])).
76.71/10.32	thf('23', plain,
76.71/10.32	    (( lessis ) =
76.71/10.32	     ( ^[V_1:$i,V_2:$i]:
76.71/10.32	       ( l_or @ ( iii @ V_1 @ V_2 ) @ ( n_is @ V_1 @ V_2 ) ) )),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(satz10k, axiom,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]:
76.71/10.32	     ( all_of @
76.71/10.32	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
76.71/10.32	       ( ^[X1:$i]:
76.71/10.32	         ( ( d_not @ ( lessis @ X0 @ X1 ) ) => ( d_29_ii @ X0 @ X1 ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_6, axiom,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ![X6:$i]:
76.71/10.32	       ( ( is_of @
76.71/10.32	           X6 @ 
76.71/10.32	           ( ^[V_3:$i]:
76.71/10.32	             ( in @
76.71/10.32	               V_3 @ 
76.71/10.32	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	         ( ( ~( ( ~( iii @ X4 @ X6 ) ) => ( ( X4 ) = ( X6 ) ) ) ) =>
76.71/10.32	           ( n_some @ ( diffprop @ X4 @ X6 ) ) ) ) ) ))).
76.71/10.32	thf(zip_derived_cl50, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ 
76.71/10.32	           (^[Y0 : $i]:
76.71/10.32	              (in @ Y0 @ 
76.71/10.32	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
76.71/10.32	        |  (n_some @ (diffprop @ X1 @ X0))
76.71/10.32	        |  (iii @ X1 @ X0)
76.71/10.32	        | ((X1) = (X0))
76.71/10.32	        | ~ (is_of @ X1 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_6])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6214, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))
76.71/10.32	        |  (n_some @ (diffprop @ X1 @ X0))
76.71/10.32	        |  (iii @ X1 @ X0)
76.71/10.32	        | ((X1) = (X0))
76.71/10.32	        | ~ (is_of @ X1 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970'))))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl50, zip_derived_cl6170, zip_derived_cl6167, 
76.71/10.32	               zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(satz16b, axiom,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]:
76.71/10.32	     ( all_of @
76.71/10.32	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
76.71/10.32	       ( ^[X1:$i]:
76.71/10.32	         ( all_of @
76.71/10.32	           ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 
76.71/10.32	           ( ^[X2:$i]:
76.71/10.32	             ( ( iii @ X0 @ X1 ) =>
76.71/10.32	               ( ( lessis @ X1 @ X2 ) => ( iii @ X0 @ X2 ) ) ) ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_7, axiom,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ![X6:$i]:
76.71/10.32	       ( ( is_of @
76.71/10.32	           X6 @ 
76.71/10.32	           ( ^[V_3:$i]:
76.71/10.32	             ( in @
76.71/10.32	               V_3 @ 
76.71/10.32	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	         ( ![X8:$i]:
76.71/10.32	           ( ( is_of @
76.71/10.32	               X8 @ 
76.71/10.32	               ( ^[V_5:$i]:
76.71/10.32	                 ( in @
76.71/10.32	                   V_5 @ 
76.71/10.32	                   ( d_Sep @
76.71/10.32	                     omega @ ( ^[V_6:$i]: ( ( V_6 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	             ( ( iii @ X4 @ X6 ) =>
76.71/10.32	               ( ( ( ~( iii @ X6 @ X8 ) ) => ( ( X6 ) = ( X8 ) ) ) =>
76.71/10.32	                 ( iii @ X4 @ X8 ) ) ) ) ) ) ) ))).
76.71/10.32	thf(zip_derived_cl51, plain,
76.71/10.32	    (![X0 : $i, X1 : $i, X2 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ 
76.71/10.32	           (^[Y0 : $i]:
76.71/10.32	              (in @ Y0 @ 
76.71/10.32	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
76.71/10.32	        | ~ (iii @ X1 @ X0)
76.71/10.32	        |  (iii @ X1 @ X2)
76.71/10.32	        | ~ (iii @ X0 @ X2)
76.71/10.32	        | ~ (is_of @ X2 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
76.71/10.32	        | ~ (is_of @ X1 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_7])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6215, plain,
76.71/10.32	    (![X0 : $i, X1 : $i, X2 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))
76.71/10.32	        | ~ (iii @ X1 @ X0)
76.71/10.32	        |  (iii @ X1 @ X2)
76.71/10.32	        | ~ (iii @ X0 @ X2)
76.71/10.32	        | ~ (is_of @ X2 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))
76.71/10.32	        | ~ (is_of @ X1 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970'))))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl51, zip_derived_cl6170, zip_derived_cl6167, 
76.71/10.32	               zip_derived_cl6170, zip_derived_cl6167, zip_derived_cl6170, 
76.71/10.32	               zip_derived_cl6167])).
76.71/10.32	thf(satz10g, axiom,
76.71/10.32	  (all_of @
76.71/10.32	   ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 
76.71/10.32	   ( ^[X0:$i]:
76.71/10.32	     ( all_of @
76.71/10.32	       ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 
76.71/10.32	       ( ^[X1:$i]:
76.71/10.32	         ( ( d_29_ii @ X0 @ X1 ) => ( d_not @ ( lessis @ X0 @ X1 ) ) ) ) ) ))).
76.71/10.32	thf(zf_stmt_8, axiom,
76.71/10.32	  (![X4:$i]:
76.71/10.32	   ( ( is_of @
76.71/10.32	       X4 @ 
76.71/10.32	       ( ^[V_1:$i]:
76.71/10.32	         ( in @
76.71/10.32	           V_1 @ 
76.71/10.32	           ( d_Sep @ omega @ ( ^[V_2:$i]: ( ( V_2 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	     ( ![X6:$i]:
76.71/10.32	       ( ( is_of @
76.71/10.32	           X6 @ 
76.71/10.32	           ( ^[V_3:$i]:
76.71/10.32	             ( in @
76.71/10.32	               V_3 @ 
76.71/10.32	               ( d_Sep @ omega @ ( ^[V_4:$i]: ( ( V_4 ) != ( emptyset ) ) ) ) ) ) ) =>
76.71/10.32	         ( ( n_some @ ( diffprop @ X4 @ X6 ) ) =>
76.71/10.32	           ( ~( ( ~( iii @ X4 @ X6 ) ) => ( ( X4 ) = ( X6 ) ) ) ) ) ) ) ))).
76.71/10.32	thf(zip_derived_cl33, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ 
76.71/10.32	           (^[Y0 : $i]:
76.71/10.32	              (in @ Y0 @ 
76.71/10.32	               (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset))))))))
76.71/10.32	        | ~ (iii @ X1 @ X0)
76.71/10.32	        | ~ (n_some @ (diffprop @ X1 @ X0))
76.71/10.32	        | ~ (is_of @ X1 @ 
76.71/10.32	             (^[Y0 : $i]:
76.71/10.32	                (in @ Y0 @ 
76.71/10.32	                 (d_Sep @ omega @ (^[Y1 : $i]: (((Y1) != (emptyset)))))))))),
76.71/10.32	    inference('cnf', [status(esa)], [zf_stmt_8])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6170, plain,
76.71/10.32	    (![X1 : $i, X2 : $i]: (('#l_lift3972' @ X1 @ X2) = (in @ X2 @ X1))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6167, plain,
76.71/10.32	    (![X1 : $i]: (('#l_lift3970' @ X1) = (((X1) != (emptyset))))),
76.71/10.32	    define([status(thm)])).
76.71/10.32	thf(zip_derived_cl6196, plain,
76.71/10.32	    (![X0 : $i, X1 : $i]:
76.71/10.32	       (~ (is_of @ X0 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970')))
76.71/10.32	        | ~ (iii @ X1 @ X0)
76.71/10.32	        | ~ (n_some @ (diffprop @ X1 @ X0))
76.71/10.32	        | ~ (is_of @ X1 @ ('#l_lift3972' @ (d_Sep @ omega @ '#l_lift3970'))))),
76.71/10.32	    inference('lambda_lifting', [status(thm)],
76.71/10.32	              [zip_derived_cl33, zip_derived_cl6170, zip_derived_cl6167, 
76.71/10.32	               zip_derived_cl6170, zip_derived_cl6167])).
76.71/10.32	thf(zip_derived_cl6242, plain, ($false),
76.71/10.32	    inference('eprover', [status(thm)],
76.71/10.32	              [zip_derived_cl57, zip_derived_cl6208, zip_derived_cl6217, 
76.71/10.32	               zip_derived_cl56, zip_derived_cl55, zip_derived_cl6180, 
76.71/10.32	               zip_derived_cl6218, zip_derived_cl6219, zip_derived_cl6171, 
76.71/10.32	               zip_derived_cl6214, zip_derived_cl6215, zip_derived_cl6196])).
76.71/10.32	
76.71/10.32	% SZS output end Refutation
76.71/10.32	
76.71/10.32	
76.71/10.32	% Terminating...
77.31/10.42	% Runner terminated.
77.31/10.43	% Zipperpin 1.5 exiting
77.31/10.45	EOF