0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n162.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:37:09 CST 2018
0.00/0.39	% done 376 iterations in 0.189s
0.00/0.39	% SZS status Theorem for 'stdin'
0.00/0.39	% SZS output start Refutation
0.00/0.39	tff(zf_stmt_11, axiom,
0.00/0.39	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.39	     ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                      'const/sets/FINITE'('type/realax/real'),A) & 
0.00/0.39	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.39	      (?[A0:'type/realax/real']:
0.00/0.39	         (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                         app_encode_app('type/realax/real',
0.00/0.39	                                        app_encode_fun(app_encode_fun(
0.00/0.39	                                                       'type/realax/real',$o),
0.00/0.39	                                                       $o),
0.00/0.39	                                        'const/sets/IN'('type/realax/real'),
0.00/0.39	                                        A0),
0.00/0.39	                         A) & 
0.00/0.39	          (![A1:'type/realax/real']:
0.00/0.39	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                             app_encode_app('type/realax/real',
0.00/0.39	                                            app_encode_fun(app_encode_fun(
0.00/0.39	                                                           'type/realax/real',
0.00/0.39	                                                           $o),$o),
0.00/0.39	                                            'const/sets/IN'('type/realax/real'),
0.00/0.39	                                            A1),
0.00/0.39	                             A) =>
0.00/0.39	              app_encode_app('type/realax/real',$o,
0.00/0.39	                             app_encode_app('type/realax/real',
0.00/0.39	                                            app_encode_fun('type/realax/real',
0.00/0.39	                                                           $o),
0.00/0.39	                                            'const/realax/real_le',A0),
0.00/0.39	                             A1)))))))).
0.00/0.39	tff('0', plain,
0.00/0.39	    ![X14 : app_encode_fun('type/realax/real', $o)]:
0.00/0.39	      (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.39	         app_encode_app('type/realax/real', 
0.00/0.39	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.39	           'const/sets/IN'('type/realax/real'), sk_A0(X14)), X14)
0.00/0.39	       | X14 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.39	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.39	             'const/sets/FINITE'('type/realax/real'), X14)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.39	tff(zf_stmt_12, conjecture,
0.00/0.39	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.39	     ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                      'const/sets/FINITE'('type/realax/real'),A) & 
0.00/0.39	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.39	      (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                      app_encode_app('type/realax/real',
0.00/0.39	                                     app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.39	                                                                   $o),
0.00/0.39	                                                    $o),
0.00/0.39	                                     'const/sets/IN'('type/realax/real'),
0.00/0.39	                                     app_encode_app(app_encode_fun('type/realax/real',
0.00/0.39	                                                                   $o),
0.00/0.39	                                                    'type/realax/real',
0.00/0.39	                                                    'const/sets/inf',A)),
0.00/0.39	                      A) & 
0.00/0.39	       (![A0:'type/realax/real']:
0.00/0.39	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                          app_encode_app('type/realax/real',
0.00/0.39	                                         app_encode_fun(app_encode_fun(
0.00/0.39	                                                        'type/realax/real',$o),
0.00/0.39	                                                        $o),
0.00/0.39	                                         'const/sets/IN'('type/realax/real'),
0.00/0.39	                                         A0),
0.00/0.39	                          A) =>
0.00/0.39	           app_encode_app('type/realax/real',$o,
0.00/0.39	                          app_encode_app('type/realax/real',
0.00/0.39	                                         app_encode_fun('type/realax/real',$o),
0.00/0.39	                                         'const/realax/real_le',
0.00/0.39	                                         app_encode_app(app_encode_fun(
0.00/0.39	                                                        'type/realax/real',$o),
0.00/0.39	                                                        'type/realax/real',
0.00/0.39	                                                        'const/sets/inf',A)),
0.00/0.39	                          A0))))))).
0.00/0.39	tff(zf_stmt_0, negated_conjecture,
0.00/0.39	  (~
0.00/0.39	    (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.39	       ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                        'const/sets/FINITE'('type/realax/real'),A) & 
0.00/0.39	         (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.39	        (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                        app_encode_app('type/realax/real',
0.00/0.39	                                       app_encode_fun(app_encode_fun(
0.00/0.39	                                                      'type/realax/real',$o),
0.00/0.39	                                                      $o),
0.00/0.39	                                       'const/sets/IN'('type/realax/real'),
0.00/0.39	                                       app_encode_app(app_encode_fun(
0.00/0.39	                                                      'type/realax/real',$o),
0.00/0.39	                                                      'type/realax/real',
0.00/0.39	                                                      'const/sets/inf',A)),
0.00/0.39	                        A) & 
0.00/0.39	         (![A0:'type/realax/real']:
0.00/0.39	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                            app_encode_app('type/realax/real',
0.00/0.39	                                           app_encode_fun(app_encode_fun(
0.00/0.39	                                                          'type/realax/real',
0.00/0.39	                                                          $o),$o),
0.00/0.39	                                           'const/sets/IN'('type/realax/real'),
0.00/0.39	                                           A0),
0.00/0.39	                            A) =>
0.00/0.39	             app_encode_app('type/realax/real',$o,
0.00/0.39	                            app_encode_app('type/realax/real',
0.00/0.39	                                           app_encode_fun('type/realax/real',
0.00/0.39	                                                          $o),
0.00/0.39	                                           'const/realax/real_le',
0.00/0.39	                                           app_encode_app(app_encode_fun(
0.00/0.39	                                                          'type/realax/real',
0.00/0.39	                                                          $o),
0.00/0.39	                                                          'type/realax/real',
0.00/0.39	                                                          'const/sets/inf',A)),
0.00/0.39	                            A0)))))))).
0.00/0.39	tff('1', plain,
0.00/0.39	    (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.39	         app_encode_app('type/realax/real', 
0.00/0.39	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.39	           'const/sets/IN'('type/realax/real'), 
0.00/0.39	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.39	             'type/realax/real', 'const/sets/inf', sk_A)), sk_A)
0.00/0.39	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.39	         app_encode_app('type/realax/real', 
0.00/0.39	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.39	           'const/sets/IN'('type/realax/real'), sk_A01), sk_A)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff(zf_stmt_8, axiom,
0.00/0.39	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.39	     (((?[A0:'type/realax/real']:
0.00/0.39	          (![A1:'type/realax/real']:
0.00/0.39	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                             app_encode_app('type/realax/real',
0.00/0.39	                                            app_encode_fun(app_encode_fun(
0.00/0.39	                                                           'type/realax/real',
0.00/0.39	                                                           $o),$o),
0.00/0.39	                                            'const/sets/IN'('type/realax/real'),
0.00/0.39	                                            A1),
0.00/0.39	                             A) =>
0.00/0.39	              app_encode_app('type/realax/real',$o,
0.00/0.39	                             app_encode_app('type/realax/real',
0.00/0.39	                                            app_encode_fun('type/realax/real',
0.00/0.39	                                                           $o),
0.00/0.39	                                            'const/realax/real_le',A0),
0.00/0.39	                             A1)))) & 
0.00/0.39	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.39	      ((![A0:'type/realax/real']:
0.00/0.39	          ((![A1:'type/realax/real']:
0.00/0.39	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.39	                              app_encode_app('type/realax/real',
0.00/0.39	                                             app_encode_fun(app_encode_fun(
0.00/0.39	                                                            'type/realax/real',
0.00/0.39	                                                            $o),$o),
0.00/0.39	                                             'const/sets/IN'('type/realax/real'),
0.00/0.39	                                             A1),
0.00/0.39	                              A) =>
0.00/0.39	               app_encode_app('type/realax/real',$o,
0.00/0.39	                              app_encode_app('type/realax/real',
0.00/0.39	                                             app_encode_fun('type/realax/real',
0.00/0.40	                                                            $o),
0.00/0.40	                                             'const/realax/real_le',A0),
0.00/0.40	                              A1))) =>
0.00/0.40	           app_encode_app('type/realax/real',$o,
0.00/0.40	                          app_encode_app('type/realax/real',
0.00/0.40	                                         app_encode_fun('type/realax/real',$o),
0.00/0.40	                                         'const/realax/real_le',A0),
0.00/0.40	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.40	                                         'type/realax/real','const/sets/inf',
0.00/0.40	                                         A)))) & 
0.00/0.40	       (![A0:'type/realax/real']:
0.00/0.40	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.40	                          app_encode_app('type/realax/real',
0.00/0.40	                                         app_encode_fun(app_encode_fun(
0.00/0.40	                                                        'type/realax/real',$o),
0.00/0.40	                                                        $o),
0.00/0.40	                                         'const/sets/IN'('type/realax/real'),
0.00/0.40	                                         A0),
0.00/0.40	                          A) =>
0.00/0.40	           app_encode_app('type/realax/real',$o,
0.00/0.40	                          app_encode_app('type/realax/real',
0.00/0.40	                                         app_encode_fun('type/realax/real',$o),
0.00/0.40	                                         'const/realax/real_le',
0.00/0.40	                                         app_encode_app(app_encode_fun(
0.00/0.40	                                                        'type/realax/real',$o),
0.00/0.40	                                                        'type/realax/real',
0.00/0.40	                                                        'const/sets/inf',A)),
0.00/0.40	                          A0))))))).
0.00/0.40	tff(zf_stmt_1, axiom,
0.00/0.40	  (zip_tseitin2(A) =>
0.00/0.40	   ((![A0:'type/realax/real']:
0.00/0.40	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.40	                       app_encode_app('type/realax/real',
0.00/0.40	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.40	                                                                    $o),
0.00/0.40	                                                     $o),
0.00/0.40	                                      'const/sets/IN'('type/realax/real'),A0),
0.00/0.40	                       A) =>
0.00/0.40	        app_encode_app('type/realax/real',$o,
0.00/0.40	                       app_encode_app('type/realax/real',
0.00/0.40	                                      app_encode_fun('type/realax/real',$o),
0.00/0.40	                                      'const/realax/real_le',
0.00/0.40	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.40	                                                                    $o),
0.00/0.40	                                                     'type/realax/real',
0.00/0.40	                                                     'const/sets/inf',A)),
0.00/0.40	                       A0))) & 
0.00/0.40	    (![A0:'type/realax/real']:
0.00/0.40	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.40	        app_encode_app('type/realax/real',$o,
0.00/0.40	                       app_encode_app('type/realax/real',
0.00/0.40	                                      app_encode_fun('type/realax/real',$o),
0.00/0.40	                                      'const/realax/real_le',A0),
0.00/0.40	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.40	                                      'type/realax/real','const/sets/inf',A))))))).
0.00/0.40	tff('2', plain,
0.00/0.40	    ![X2 : app_encode_fun('type/realax/real', $o), X5 : 'type/realax/real']:
0.00/0.40	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), X5), X2)
0.00/0.40	       | app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'type/realax/real', 'const/sets/inf', X2)), X5)
0.00/0.40	       | ~ zip_tseitin2(X2)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.40	tff('3', plain,
0.00/0.40	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	      'const/sets/FINITE'('type/realax/real'), sk_A),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff(zf_stmt_2, axiom,
0.00/0.40	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.40	                   app_encode_app('type/realax/real',
0.00/0.40	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.40	                                                                $o),
0.00/0.40	                                                 $o),
0.00/0.40	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.40	                   A) =>
0.00/0.40	    app_encode_app('type/realax/real',$o,
0.00/0.40	                   app_encode_app('type/realax/real',
0.00/0.40	                                  app_encode_fun('type/realax/real',$o),
0.00/0.40	                                  'const/realax/real_le',A0),
0.00/0.40	                   A1)) =>
0.00/0.40	   zip_tseitin1(A1,A0,A))).
0.00/0.40	tff('4', plain,
0.00/0.40	    ![X2 : app_encode_fun('type/realax/real', $o), X3 : 'type/realax/real', 
0.00/0.40	      X4 : 'type/realax/real']:
0.00/0.40	      (zip_tseitin1(X3, X4, X2)
0.00/0.40	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), X3), X2)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.40	tff('5', plain,
0.00/0.40	    ![X14 : app_encode_fun('type/realax/real', $o), X15 : 'type/realax/real']:
0.00/0.40	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), X15), X14)
0.00/0.40	       | app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             sk_A0(X14)), X15)
0.00/0.40	       | X14 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X14)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.40	tff('6', plain,
0.00/0.40	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.00/0.40	      X2 : 'type/realax/real']:
0.00/0.40	      (~ $true
0.00/0.40	       | zip_tseitin1(X1, X2, X0)
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X0)
0.00/0.40	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             sk_A0(X0)), X1)),
0.00/0.40	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.40	tff('7', plain,
0.00/0.40	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.00/0.40	      X2 : 'type/realax/real']:
0.00/0.40	      (app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(X0)), X1)
0.00/0.40	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X0)
0.00/0.40	       | zip_tseitin1(X1, X2, X0)),
0.00/0.40	    inference('simplify', [status(thm)], ['6'])).
0.00/0.40	tff('8', plain,
0.00/0.40	    ![X2 : app_encode_fun('type/realax/real', $o), X3 : 'type/realax/real', 
0.00/0.40	      X4 : 'type/realax/real']:
0.00/0.40	      (zip_tseitin1(X3, X4, X2)
0.00/0.40	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	             app_encode_app('type/realax/real', 
0.00/0.40	               app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'const/realax/real_le', X4), X3)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.40	tff('9', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o), X3 : 'type/realax/real']:
0.00/0.40	      (~ $true
0.00/0.40	       | zip_tseitin1(X0, X3, X1)
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X1)
0.00/0.40	       | X1 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | zip_tseitin1(X0, sk_A0(X1), X2)),
0.00/0.40	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.40	tff('10', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o), X3 : 'type/realax/real']:
0.00/0.40	      (zip_tseitin1(X0, sk_A0(X1), X2)
0.00/0.40	       | X1 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X1)
0.00/0.40	       | zip_tseitin1(X0, X3, X1)),
0.00/0.40	    inference('simplify', [status(thm)], ['9'])).
0.00/0.40	tff('11', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (~ $true
0.00/0.40	       | zip_tseitin1(X1, X0, sk_A)
0.00/0.40	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | zip_tseitin1(X1, sk_A0(sk_A), X2)),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '10'])).
0.00/0.40	tff('12', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (zip_tseitin1(X1, sk_A0(sk_A), X2)
0.00/0.40	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | zip_tseitin1(X1, X0, sk_A)),
0.00/0.40	    inference('simplify', [status(thm)], ['11'])).
0.00/0.40	tff('13', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('14', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (zip_tseitin1(X1, sk_A0(sk_A), X2) | zip_tseitin1(X1, X0, sk_A)),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['12', '13'])).
0.00/0.40	tff('15', plain,
0.00/0.40	    ![X0 : 'type/realax/real']:
0.00/0.40	      (~ $true | zip_tseitin1(X0, sk_A0(sk_A), sk_A)),
0.00/0.40	    inference('eq_fact', [status(thm)], ['14'])).
0.00/0.40	tff('16', plain,
0.00/0.40	    ![X0 : 'type/realax/real']: zip_tseitin1(X0, sk_A0(sk_A), sk_A),
0.00/0.40	    inference('simplify', [status(thm)], ['15'])).
0.00/0.40	tff('17', plain,
0.00/0.40	    ![X2 : app_encode_fun('type/realax/real', $o), X6 : 'type/realax/real']:
0.00/0.40	      (~ zip_tseitin1(sk_A1(X6, X2), X6, X2)
0.00/0.40	       | app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             X6), 
0.00/0.40	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	             'type/realax/real', 'const/sets/inf', X2))
0.00/0.40	       | ~ zip_tseitin2(X2)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.40	tff('18', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ zip_tseitin2(sk_A)
0.00/0.40	     | app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(sk_A)), 
0.00/0.40	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	           'type/realax/real', 'const/sets/inf', sk_A))),
0.00/0.40	    inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.40	tff(zf_stmt_3, axiom,
0.00/0.40	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.40	                   app_encode_app('type/realax/real',
0.00/0.40	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.40	                                                                $o),
0.00/0.40	                                                 $o),
0.00/0.40	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.40	                   A) =>
0.00/0.40	    app_encode_app('type/realax/real',$o,
0.00/0.40	                   app_encode_app('type/realax/real',
0.00/0.40	                                  app_encode_fun('type/realax/real',$o),
0.00/0.40	                                  'const/realax/real_le',A0),
0.00/0.40	                   A1)) =>
0.00/0.40	   zip_tseitin0(A1,A0,A))).
0.00/0.40	tff('19', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (zip_tseitin0(X0, X1, X2)
0.00/0.40	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), X0), X2)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.40	tff('20', plain,
0.00/0.40	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.00/0.40	      X2 : 'type/realax/real']:
0.00/0.40	      (~ $true
0.00/0.40	       | zip_tseitin0(X1, X2, X0)
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X0)
0.00/0.40	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             sk_A0(X0)), X1)),
0.00/0.40	    inference('sup-', [status(thm)], ['19', '5'])).
0.00/0.40	tff('21', plain,
0.00/0.40	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.00/0.40	      X2 : 'type/realax/real']:
0.00/0.40	      (app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(X0)), X1)
0.00/0.40	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X0)
0.00/0.40	       | zip_tseitin0(X1, X2, X0)),
0.00/0.40	    inference('simplify', [status(thm)], ['20'])).
0.00/0.40	tff('22', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (zip_tseitin0(X0, X1, X2)
0.00/0.40	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	             app_encode_app('type/realax/real', 
0.00/0.40	               app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'const/realax/real_le', X1), X0)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.40	tff('23', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o), X3 : 'type/realax/real']:
0.00/0.40	      (~ $true
0.00/0.40	       | zip_tseitin0(X0, X3, X1)
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X1)
0.00/0.40	       | X1 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | zip_tseitin0(X0, sk_A0(X1), X2)),
0.00/0.40	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.40	tff('24', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o), X3 : 'type/realax/real']:
0.00/0.40	      (zip_tseitin0(X0, sk_A0(X1), X2)
0.00/0.40	       | X1 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	             'const/sets/FINITE'('type/realax/real'), X1)
0.00/0.40	       | zip_tseitin0(X0, X3, X1)),
0.00/0.40	    inference('simplify', [status(thm)], ['23'])).
0.00/0.40	tff('25', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (~ $true
0.00/0.40	       | zip_tseitin0(X1, X0, sk_A)
0.00/0.40	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | zip_tseitin0(X1, sk_A0(sk_A), X2)),
0.00/0.40	    inference('sup-', [status(thm)], ['3', '24'])).
0.00/0.40	tff('26', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (zip_tseitin0(X1, sk_A0(sk_A), X2)
0.00/0.40	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	       | zip_tseitin0(X1, X0, sk_A)),
0.00/0.40	    inference('simplify', [status(thm)], ['25'])).
0.00/0.40	tff('27', plain,
0.00/0.40	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.40	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.40	      (zip_tseitin0(X1, sk_A0(sk_A), X2) | zip_tseitin0(X1, X0, sk_A)),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['26', '13'])).
0.00/0.40	tff('28', plain,
0.00/0.40	    ![X0 : 'type/realax/real']:
0.00/0.40	      (~ $true | zip_tseitin0(X0, sk_A0(sk_A), sk_A)),
0.00/0.40	    inference('eq_fact', [status(thm)], ['27'])).
0.00/0.40	tff('29', plain,
0.00/0.40	    ![X0 : 'type/realax/real']: zip_tseitin0(X0, sk_A0(sk_A), sk_A),
0.00/0.40	    inference('simplify', [status(thm)], ['28'])).
0.00/0.40	tff(zf_stmt_4, type, zip_tseitin2 :
0.00/0.40	    app_encode_fun('type/realax/real',$o) > $o).
0.00/0.40	tff(zf_stmt_5, type, zip_tseitin1 :
0.00/0.40	    ('type/realax/real' * 
0.00/0.40	     'type/realax/real' * 
0.00/0.40	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.40	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.40	    ('type/realax/real' * 
0.00/0.40	     'type/realax/real' * 
0.00/0.40	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.40	tff(zf_stmt_7, axiom,
0.00/0.40	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.40	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.40	       (?[A0:'type/realax/real']:
0.00/0.40	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.00/0.40	      zip_tseitin2(A)))).
0.00/0.40	tff('30', plain,
0.00/0.40	    ![X7 : app_encode_fun('type/realax/real', $o), X8 : 'type/realax/real']:
0.00/0.40	      (zip_tseitin2(X7)
0.00/0.40	       | ~ zip_tseitin0(sk_A11(X8, X7), X8, X7)
0.00/0.40	       | X7 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.40	tff('31', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | zip_tseitin2(sk_A)),
0.00/0.40	    inference('sup-', [status(thm)], ['29', '30'])).
0.00/0.40	tff('32', plain,
0.00/0.40	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.40	    inference('simplify', [status(thm)], ['31'])).
0.00/0.40	tff('33', plain, zip_tseitin2(sk_A),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['32', '13'])).
0.00/0.40	tff('34', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(sk_A)), 
0.00/0.40	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	           'type/realax/real', 'const/sets/inf', sk_A))),
0.00/0.40	    inference('demod', [status(thm)], ['18', '33'])).
0.00/0.40	tff('35', plain,
0.00/0.40	    app_encode_app('type/realax/real', $o, 
0.00/0.40	      app_encode_app('type/realax/real', 
0.00/0.40	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	        sk_A0(sk_A)), 
0.00/0.40	      app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	        'type/realax/real', 'const/sets/inf', sk_A)),
0.00/0.40	    inference('simplify', [status(thm)], ['34'])).
0.00/0.40	tff(zf_stmt_10, axiom,
0.00/0.40	  (![A:'type/realax/real',A0:'type/realax/real']:
0.00/0.40	     ((app_encode_app('type/realax/real',$o,
0.00/0.40	                      app_encode_app('type/realax/real',
0.00/0.40	                                     app_encode_fun('type/realax/real',$o),
0.00/0.40	                                     'const/realax/real_le',A),
0.00/0.40	                      A0) & 
0.00/0.40	       app_encode_app('type/realax/real',$o,
0.00/0.40	                      app_encode_app('type/realax/real',
0.00/0.40	                                     app_encode_fun('type/realax/real',$o),
0.00/0.40	                                     'const/realax/real_le',A0),
0.00/0.40	                      A)) <=>
0.00/0.40	      (A = A0)))).
0.00/0.40	tff('36', plain,
0.00/0.40	    ![X11 : 'type/realax/real', X12 : 'type/realax/real']:
0.00/0.40	      (X12 = X11
0.00/0.40	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	             app_encode_app('type/realax/real', 
0.00/0.40	               app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'const/realax/real_le', X11), X12)
0.00/0.40	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	             app_encode_app('type/realax/real', 
0.00/0.40	               app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'const/realax/real_le', X12), X11)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.40	tff('37', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'type/realax/real', 'const/sets/inf', sk_A)), sk_A0(sk_A))
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	         'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	        = sk_A0(sk_A)),
0.00/0.40	    inference('sup-', [status(thm)], ['35', '36'])).
0.00/0.40	tff('38', plain,
0.00/0.40	    (app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	       'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	      = sk_A0(sk_A)
0.00/0.40	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'type/realax/real', 'const/sets/inf', sk_A)), sk_A0(sk_A))),
0.00/0.40	    inference('simplify', [status(thm)], ['37'])).
0.00/0.40	tff('39', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ zip_tseitin2(sk_A)
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), sk_A0(sk_A)), sk_A)
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	         'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	        = sk_A0(sk_A)),
0.00/0.40	    inference('sup-', [status(thm)], ['2', '38'])).
0.00/0.40	tff('40', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), sk_A0(sk_A)), sk_A)
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	         'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	        = sk_A0(sk_A)),
0.00/0.40	    inference('demod', [status(thm)], ['39', '33'])).
0.00/0.40	tff('41', plain,
0.00/0.40	    (app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	       'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	      = sk_A0(sk_A)
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	             'const/sets/IN'('type/realax/real'), sk_A0(sk_A)), sk_A)),
0.00/0.40	    inference('simplify', [status(thm)], ['40'])).
0.00/0.40	tff('42', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           'const/sets/FINITE'('type/realax/real'), sk_A)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	         'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	        = sk_A0(sk_A)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '41'])).
0.00/0.40	tff('43', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	         'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	        = sk_A0(sk_A)),
0.00/0.40	    inference('demod', [status(thm)], ['42', '3'])).
0.00/0.40	tff('44', plain,
0.00/0.40	    (app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	       'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	      = sk_A0(sk_A)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.40	    inference('simplify', [status(thm)], ['43'])).
0.00/0.40	tff('45', plain,
0.00/0.40	    app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	      'type/realax/real', 'const/sets/inf', sk_A)
0.00/0.40	     = sk_A0(sk_A),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['44', '13'])).
0.00/0.40	tff('46', plain,
0.00/0.40	    (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	           'const/sets/IN'('type/realax/real'), sk_A0(sk_A)), sk_A)
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	           'const/sets/IN'('type/realax/real'), sk_A01), sk_A)),
0.00/0.40	    inference('demod', [status(thm)], ['1', '45'])).
0.00/0.40	tff('47', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           'const/sets/FINITE'('type/realax/real'), sk_A)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	           'const/sets/IN'('type/realax/real'), sk_A01), sk_A)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '46'])).
0.00/0.40	tff('48', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	           'const/sets/IN'('type/realax/real'), sk_A01), sk_A)),
0.00/0.40	    inference('demod', [status(thm)], ['47', '3'])).
0.00/0.40	tff('49', plain,
0.00/0.40	    (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	       app_encode_app('type/realax/real', 
0.00/0.40	         app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	         'const/sets/IN'('type/realax/real'), sk_A01), sk_A)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.40	    inference('simplify', [status(thm)], ['48'])).
0.00/0.40	tff('50', plain,
0.00/0.40	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	      app_encode_app('type/realax/real', 
0.00/0.40	        app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	        'const/sets/IN'('type/realax/real'), sk_A01), sk_A),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['49', '13'])).
0.00/0.40	tff('51', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           'const/sets/FINITE'('type/realax/real'), sk_A)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(sk_A)), sk_A01)),
0.00/0.40	    inference('sup-', [status(thm)], ['50', '5'])).
0.00/0.40	tff('52', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(sk_A)), sk_A01)),
0.00/0.40	    inference('demod', [status(thm)], ['51', '3'])).
0.00/0.40	tff('53', plain,
0.00/0.40	    (app_encode_app('type/realax/real', $o, 
0.00/0.40	       app_encode_app('type/realax/real', 
0.00/0.40	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	         sk_A0(sk_A)), sk_A01)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.40	    inference('simplify', [status(thm)], ['52'])).
0.00/0.40	tff('54', plain,
0.00/0.40	    app_encode_app('type/realax/real', $o, 
0.00/0.40	      app_encode_app('type/realax/real', 
0.00/0.40	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	        sk_A0(sk_A)), sk_A01),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['53', '13'])).
0.00/0.40	tff('55', plain,
0.00/0.40	    (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	           'const/sets/IN'('type/realax/real'), 
0.00/0.40	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	             'type/realax/real', 'const/sets/inf', sk_A)), sk_A)
0.00/0.40	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.40	               'type/realax/real', 'const/sets/inf', sk_A)), sk_A01)),
0.00/0.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.40	tff('56', plain,
0.00/0.40	    (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.40	           'const/sets/IN'('type/realax/real'), sk_A0(sk_A)), sk_A)
0.00/0.40	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             sk_A0(sk_A)), sk_A01)),
0.00/0.40	    inference('demod', [status(thm)], ['55', '45', '45'])).
0.00/0.40	tff('57', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.40	           'const/sets/FINITE'('type/realax/real'), sk_A)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             sk_A0(sk_A)), sk_A01)),
0.00/0.40	    inference('sup-', [status(thm)], ['0', '56'])).
0.00/0.40	tff('58', plain,
0.00/0.40	    (~ $true
0.00/0.40	     | ~ $true
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.40	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	           app_encode_app('type/realax/real', 
0.00/0.40	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	             sk_A0(sk_A)), sk_A01)),
0.00/0.40	    inference('demod', [status(thm)], ['57', '3'])).
0.00/0.40	tff('59', plain,
0.00/0.40	    (~ app_encode_app('type/realax/real', $o, 
0.00/0.40	         app_encode_app('type/realax/real', 
0.00/0.40	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	           sk_A0(sk_A)), sk_A01)
0.00/0.40	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.40	    inference('simplify', [status(thm)], ['58'])).
0.00/0.40	tff('60', plain,
0.00/0.40	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.40	        app_encode_app('type/realax/real', 
0.00/0.40	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.40	          sk_A0(sk_A)), sk_A01),
0.00/0.40	    inference('simplify_reflect-', [status(thm)], ['59', '13'])).
0.00/0.40	tff('61', plain, ~ $true, inference('sup-', [status(thm)], ['54', '60'])).
0.00/0.40	tff('62', plain, $false, inference('simplify', [status(thm)], ['61'])).
0.00/0.40	
0.00/0.40	% SZS output end Refutation
0.00/0.40	EOF
