0.00/0.00	% File    : /export/starexec/sandbox2/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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n060.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:42:09 CST 2018
0.61/0.78	% done 783 iterations in 0.581s
0.61/0.78	% SZS status Theorem for 'stdin'
0.61/0.78	% SZS output start Refutation
0.61/0.79	tff(zf_stmt_8, axiom,
0.61/0.79	  (![A:app_encode_fun('type/realax/real',$o)]:
0.61/0.79	     (((?[A0:'type/realax/real']:
0.61/0.79	          (![A1:'type/realax/real']:
0.61/0.79	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                             app_encode_app('type/realax/real',
0.61/0.79	                                            app_encode_fun(app_encode_fun(
0.61/0.79	                                                           'type/realax/real',
0.61/0.79	                                                           $o),$o),
0.61/0.79	                                            'const/sets/IN'('type/realax/real'),
0.61/0.79	                                            A1),
0.61/0.79	                             A) =>
0.61/0.79	              app_encode_app('type/realax/real',$o,
0.61/0.79	                             app_encode_app('type/realax/real',
0.61/0.79	                                            app_encode_fun('type/realax/real',
0.61/0.79	                                                           $o),
0.61/0.79	                                            'const/realax/real_le',A1),
0.61/0.79	                             A0)))) & 
0.61/0.79	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.61/0.79	      ((![A0:'type/realax/real']:
0.61/0.79	          ((![A1:'type/realax/real']:
0.61/0.79	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                              app_encode_app('type/realax/real',
0.61/0.79	                                             app_encode_fun(app_encode_fun(
0.61/0.79	                                                            'type/realax/real',
0.61/0.79	                                                            $o),$o),
0.61/0.79	                                             'const/sets/IN'('type/realax/real'),
0.61/0.79	                                             A1),
0.61/0.79	                              A) =>
0.61/0.79	               app_encode_app('type/realax/real',$o,
0.61/0.79	                              app_encode_app('type/realax/real',
0.61/0.79	                                             app_encode_fun('type/realax/real',
0.61/0.79	                                                            $o),
0.61/0.79	                                             'const/realax/real_le',A1),
0.61/0.79	                              A0))) =>
0.61/0.79	           app_encode_app('type/realax/real',$o,
0.61/0.79	                          app_encode_app('type/realax/real',
0.61/0.79	                                         app_encode_fun('type/realax/real',$o),
0.61/0.79	                                         'const/realax/real_le',
0.61/0.79	                                         app_encode_app(app_encode_fun(
0.61/0.79	                                                        'type/realax/real',$o),
0.61/0.79	                                                        'type/realax/real',
0.61/0.79	                                                        'const/sets/sup',A)),
0.61/0.79	                          A0))) & 
0.61/0.79	       (![A0:'type/realax/real']:
0.61/0.79	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                          app_encode_app('type/realax/real',
0.61/0.79	                                         app_encode_fun(app_encode_fun(
0.61/0.79	                                                        'type/realax/real',$o),
0.61/0.79	                                                        $o),
0.61/0.79	                                         'const/sets/IN'('type/realax/real'),
0.61/0.79	                                         A0),
0.61/0.79	                          A) =>
0.61/0.79	           app_encode_app('type/realax/real',$o,
0.61/0.79	                          app_encode_app('type/realax/real',
0.61/0.79	                                         app_encode_fun('type/realax/real',$o),
0.61/0.79	                                         'const/realax/real_le',A0),
0.61/0.79	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.61/0.79	                                         'type/realax/real','const/sets/sup',
0.61/0.79	                                         A)))))))).
0.61/0.79	tff(zf_stmt_0, axiom,
0.61/0.79	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                   app_encode_app('type/realax/real',
0.61/0.79	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.61/0.79	                                                                $o),
0.61/0.79	                                                 $o),
0.61/0.79	                                  'const/sets/IN'('type/realax/real'),A1),
0.61/0.79	                   A) =>
0.61/0.79	    app_encode_app('type/realax/real',$o,
0.61/0.79	                   app_encode_app('type/realax/real',
0.61/0.79	                                  app_encode_fun('type/realax/real',$o),
0.61/0.79	                                  'const/realax/real_le',A1),
0.61/0.79	                   A0)) =>
0.61/0.79	   zip_tseitin1(A1,A0,A))).
0.61/0.79	tff('0', plain,
0.61/0.79	    ![X5 : app_encode_fun('type/realax/real', $o), X6 : 'type/realax/real', 
0.61/0.79	      X7 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin1(X6, X7, X5)
0.61/0.79	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	             'const/sets/IN'('type/realax/real'), X6), X5)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.79	tff(zf_stmt_9, conjecture,
0.61/0.79	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.61/0.79	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.61/0.79	       (?[A1:'type/realax/real']:
0.61/0.79	          (![A2:'type/realax/real']:
0.61/0.79	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                             app_encode_app('type/realax/real',
0.61/0.79	                                            app_encode_fun(app_encode_fun(
0.61/0.79	                                                           'type/realax/real',
0.61/0.79	                                                           $o),$o),
0.61/0.79	                                            'const/sets/IN'('type/realax/real'),
0.61/0.79	                                            A2),
0.61/0.79	                             A) =>
0.61/0.79	              app_encode_app('type/realax/real',$o,
0.61/0.79	                             app_encode_app('type/realax/real',
0.61/0.79	                                            app_encode_fun('type/realax/real',
0.61/0.79	                                                           $o),
0.61/0.79	                                            'const/realax/real_le',A2),
0.61/0.79	                             A1))))) =>
0.61/0.79	      (app_encode_app('type/realax/real',$o,
0.61/0.79	                      app_encode_app('type/realax/real',
0.61/0.79	                                     app_encode_fun('type/realax/real',$o),
0.61/0.79	                                     'const/realax/real_le',
0.61/0.79	                                     app_encode_app(app_encode_fun('type/realax/real',
0.61/0.79	                                                                   $o),
0.61/0.79	                                                    'type/realax/real',
0.61/0.79	                                                    'const/sets/sup',A)),
0.61/0.79	                      A0) <=>
0.61/0.79	       (![A1:'type/realax/real']:
0.61/0.79	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                          app_encode_app('type/realax/real',
0.61/0.79	                                         app_encode_fun(app_encode_fun(
0.61/0.79	                                                        'type/realax/real',$o),
0.61/0.79	                                                        $o),
0.61/0.79	                                         'const/sets/IN'('type/realax/real'),
0.61/0.79	                                         A1),
0.61/0.79	                          A) =>
0.61/0.79	           app_encode_app('type/realax/real',$o,
0.61/0.79	                          app_encode_app('type/realax/real',
0.61/0.79	                                         app_encode_fun('type/realax/real',$o),
0.61/0.79	                                         'const/realax/real_le',A1),
0.61/0.79	                          A0))))))).
0.61/0.79	tff(zf_stmt_1, negated_conjecture,
0.61/0.79	  (~
0.61/0.79	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.61/0.79	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.61/0.79	         (?[A1:'type/realax/real']:
0.61/0.79	            (![A2:'type/realax/real']:
0.61/0.79	               (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                               app_encode_app('type/realax/real',
0.61/0.79	                                              app_encode_fun(app_encode_fun(
0.61/0.79	                                                             'type/realax/real',
0.61/0.79	                                                             $o),$o),
0.61/0.79	                                              'const/sets/IN'('type/realax/real'),
0.61/0.79	                                              A2),
0.61/0.79	                               A) =>
0.61/0.79	                app_encode_app('type/realax/real',$o,
0.61/0.79	                               app_encode_app('type/realax/real',
0.61/0.79	                                              app_encode_fun('type/realax/real',
0.61/0.79	                                                             $o),
0.61/0.79	                                              'const/realax/real_le',A2),
0.61/0.79	                               A1))))) =>
0.61/0.79	        (app_encode_app('type/realax/real',$o,
0.61/0.79	                        app_encode_app('type/realax/real',
0.61/0.79	                                       app_encode_fun('type/realax/real',$o),
0.61/0.79	                                       'const/realax/real_le',
0.61/0.79	                                       app_encode_app(app_encode_fun(
0.61/0.79	                                                      'type/realax/real',$o),
0.61/0.79	                                                      'type/realax/real',
0.61/0.79	                                                      'const/sets/sup',A)),
0.61/0.79	                        A0) <=>
0.61/0.79	         (![A1:'type/realax/real']:
0.61/0.79	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                            app_encode_app('type/realax/real',
0.61/0.79	                                           app_encode_fun(app_encode_fun(
0.61/0.79	                                                          'type/realax/real',
0.61/0.79	                                                          $o),$o),
0.61/0.79	                                           'const/sets/IN'('type/realax/real'),
0.61/0.79	                                           A1),
0.61/0.79	                            A) =>
0.61/0.79	             app_encode_app('type/realax/real',$o,
0.61/0.79	                            app_encode_app('type/realax/real',
0.61/0.79	                                           app_encode_fun('type/realax/real',
0.61/0.79	                                                          $o),
0.61/0.79	                                           'const/realax/real_le',A1),
0.61/0.79	                            A0)))))))).
0.61/0.79	tff('1', plain,
0.61/0.79	    ![X12 : 'type/realax/real']:
0.61/0.79	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	             'const/sets/IN'('type/realax/real'), X12), sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X12), sk_A0)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.61/0.79	tff('2', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X0, X1, sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['0', '1'])).
0.61/0.79	tff('3', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           X0), sk_A0)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.61/0.79	       | zip_tseitin1(X0, X1, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['2'])).
0.61/0.79	tff('4', plain,
0.61/0.79	    ![X5 : app_encode_fun('type/realax/real', $o), X6 : 'type/realax/real', 
0.61/0.79	      X7 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin1(X6, X7, X5)
0.61/0.79	       | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'const/realax/real_le', X6), X7)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.61/0.79	tff('5', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X0, X2, sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.61/0.79	       | zip_tseitin1(X0, sk_A0, X1)),
0.61/0.79	    inference('sup-', [status(thm)], ['3', '4'])).
0.61/0.79	tff('6', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin1(X0, sk_A0, X1)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.61/0.79	       | zip_tseitin1(X0, X2, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['5'])).
0.61/0.79	tff('7', plain,
0.61/0.79	    ![X0 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X0, sk_A0, sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.61/0.79	    inference('eq_fact', [status(thm)], ['6'])).
0.61/0.79	tff('8', plain,
0.61/0.79	    ![X0 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.61/0.79	       | zip_tseitin1(X0, sk_A0, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['7'])).
0.61/0.79	tff(zf_stmt_2, axiom,
0.61/0.79	  (zip_tseitin2(A) =>
0.61/0.79	   ((![A0:'type/realax/real']:
0.61/0.79	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                       app_encode_app('type/realax/real',
0.61/0.79	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.61/0.79	                                                                    $o),
0.61/0.79	                                                     $o),
0.61/0.79	                                      'const/sets/IN'('type/realax/real'),A0),
0.61/0.79	                       A) =>
0.61/0.79	        app_encode_app('type/realax/real',$o,
0.61/0.79	                       app_encode_app('type/realax/real',
0.61/0.79	                                      app_encode_fun('type/realax/real',$o),
0.61/0.79	                                      'const/realax/real_le',A0),
0.61/0.79	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.61/0.79	                                      'type/realax/real','const/sets/sup',A)))) & 
0.61/0.79	    (![A0:'type/realax/real']:
0.61/0.79	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.61/0.79	        app_encode_app('type/realax/real',$o,
0.61/0.79	                       app_encode_app('type/realax/real',
0.61/0.79	                                      app_encode_fun('type/realax/real',$o),
0.61/0.79	                                      'const/realax/real_le',
0.61/0.79	                                      app_encode_app(app_encode_fun('type/realax/real',
0.61/0.79	                                                                    $o),
0.61/0.79	                                                     'type/realax/real',
0.61/0.79	                                                     'const/sets/sup',A)),
0.61/0.79	                       A0)))))).
0.61/0.79	tff('9', plain,
0.61/0.79	    ![X5 : app_encode_fun('type/realax/real', $o), X8 : 'type/realax/real']:
0.61/0.79	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	             'const/sets/IN'('type/realax/real'), X8), X5)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X8), 
0.61/0.79	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	             'type/realax/real', 'const/sets/sup', X5))
0.61/0.79	       | ~ zip_tseitin2(X5)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.61/0.79	tff(zf_stmt_7, axiom,
0.61/0.79	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.61/0.79	     ((app_encode_app('type/realax/real',$o,
0.61/0.79	                      app_encode_app('type/realax/real',
0.61/0.79	                                     app_encode_fun('type/realax/real',$o),
0.61/0.79	                                     'const/realax/real_le',A),
0.61/0.79	                      A0) & 
0.61/0.79	       app_encode_app('type/realax/real',$o,
0.61/0.79	                      app_encode_app('type/realax/real',
0.61/0.79	                                     app_encode_fun('type/realax/real',$o),
0.61/0.79	                                     'const/realax/real_le',A0),
0.61/0.79	                      A1)) =>
0.61/0.79	      app_encode_app('type/realax/real',$o,
0.61/0.79	                     app_encode_app('type/realax/real',
0.61/0.79	                                    app_encode_fun('type/realax/real',$o),
0.61/0.79	                                    'const/realax/real_le',A),
0.61/0.79	                     A1)))).
0.61/0.79	tff('10', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (~ app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), X1)
0.61/0.79	       | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'const/realax/real_le', X1), X2)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), X2)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.61/0.79	tff('11', plain,
0.61/0.79	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | ~ zip_tseitin2(X0)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X1), X0)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X1), X2)
0.61/0.79	       | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'const/realax/real_le', 
0.61/0.79	               app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	                 'type/realax/real', 'const/sets/sup', X0)), X2)),
0.61/0.79	    inference('sup-', [status(thm)], ['9', '10'])).
0.61/0.79	tff('12', plain,
0.61/0.79	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (~ app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', X0)), X2)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X1), X2)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X1), X0)
0.61/0.79	       | ~ zip_tseitin2(X0)),
0.61/0.79	    inference('simplify', [status(thm)], ['11'])).
0.61/0.79	tff('13', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X1, sk_A0, sk_A)
0.61/0.79	       | ~ zip_tseitin2(sk_A)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['8', '12'])).
0.61/0.79	tff(zf_stmt_3, axiom,
0.61/0.79	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.61/0.79	                   app_encode_app('type/realax/real',
0.61/0.79	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.61/0.79	                                                                $o),
0.61/0.79	                                                 $o),
0.61/0.79	                                  'const/sets/IN'('type/realax/real'),A1),
0.61/0.79	                   A) =>
0.61/0.79	    app_encode_app('type/realax/real',$o,
0.61/0.79	                   app_encode_app('type/realax/real',
0.61/0.79	                                  app_encode_fun('type/realax/real',$o),
0.61/0.79	                                  'const/realax/real_le',A1),
0.61/0.79	                   A0)) =>
0.61/0.79	   zip_tseitin0(A1,A0,A))).
0.61/0.79	tff('14', plain,
0.61/0.79	    ![X3 : 'type/realax/real', X4 : 'type/realax/real', 
0.61/0.79	      X5 : app_encode_fun('type/realax/real', $o)]:
0.61/0.79	      (zip_tseitin0(X3, X4, X5)
0.61/0.79	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	             'const/sets/IN'('type/realax/real'), X3), X5)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.61/0.79	tff('15', plain,
0.61/0.79	    ![X13 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           X13), sk_A12)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X13), sk_A)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.61/0.79	tff('16', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin0(X0, X1, sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A12)),
0.61/0.79	    inference('sup-', [status(thm)], ['14', '15'])).
0.61/0.79	tff('17', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           X0), sk_A12)
0.61/0.79	       | zip_tseitin0(X0, X1, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['16'])).
0.61/0.79	tff('18', plain,
0.61/0.79	    ![X3 : 'type/realax/real', X4 : 'type/realax/real', 
0.61/0.79	      X5 : app_encode_fun('type/realax/real', $o)]:
0.61/0.79	      (zip_tseitin0(X3, X4, X5)
0.61/0.79	       | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'const/realax/real_le', X3), X4)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.61/0.79	tff('19', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (~ $true | zip_tseitin0(X0, X2, sk_A) | zip_tseitin0(X0, sk_A12, X1)),
0.61/0.79	    inference('sup-', [status(thm)], ['17', '18'])).
0.61/0.79	tff('20', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin0(X0, sk_A12, X1) | zip_tseitin0(X0, X2, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['19'])).
0.61/0.79	tff('21', plain,
0.61/0.79	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin0(X0, sk_A12, sk_A)),
0.61/0.79	    inference('eq_fact', [status(thm)], ['20'])).
0.61/0.79	tff('22', plain, ![X0 : 'type/realax/real']: zip_tseitin0(X0, sk_A12, sk_A),
0.61/0.79	    inference('simplify', [status(thm)], ['21'])).
0.61/0.79	tff(zf_stmt_4, type, zip_tseitin2 :
0.61/0.79	    app_encode_fun('type/realax/real',$o) > $o).
0.61/0.79	tff(zf_stmt_5, type, zip_tseitin1 :
0.61/0.79	    ('type/realax/real' * 
0.61/0.79	     'type/realax/real' * 
0.61/0.79	     app_encode_fun('type/realax/real',$o)) > $o).
0.61/0.79	tff(zf_stmt_6, type, zip_tseitin0 :
0.61/0.79	    ('type/realax/real' * 
0.61/0.79	     'type/realax/real' * 
0.61/0.79	     app_encode_fun('type/realax/real',$o)) > $o).
0.61/0.79	tff(zf_stmt_7, axiom,
0.61/0.79	  (![A:app_encode_fun('type/realax/real',$o)]:
0.61/0.79	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.61/0.79	       (?[A0:'type/realax/real']:
0.61/0.79	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.61/0.79	      zip_tseitin2(A)))).
0.61/0.79	tff('23', plain,
0.61/0.79	    ![X10 : app_encode_fun('type/realax/real', $o), X11 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin2(X10)
0.61/0.79	       | ~ zip_tseitin0(sk_A11(X11, X10), X11, X10)
0.61/0.79	       | X10 = 'const/sets/EMPTY'('type/realax/real')),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.61/0.79	tff('24', plain,
0.61/0.79	    (~ $true
0.61/0.79	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.61/0.79	     | zip_tseitin2(sk_A)),
0.61/0.79	    inference('sup-', [status(thm)], ['22', '23'])).
0.61/0.79	tff('25', plain,
0.61/0.79	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.61/0.79	    inference('simplify', [status(thm)], ['24'])).
0.61/0.79	tff('26', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.61/0.79	tff('27', plain, zip_tseitin2(sk_A),
0.61/0.79	    inference('simplify_reflect-', [status(thm)], ['25', '26'])).
0.61/0.79	tff('28', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X1, sk_A0, sk_A)
0.61/0.79	       | ~ $true
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A0)),
0.61/0.79	    inference('demod', [status(thm)], ['13', '27'])).
0.61/0.79	tff('29', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           X0), sk_A0)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.61/0.79	       | zip_tseitin1(X1, sk_A0, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['28'])).
0.61/0.79	tff('30', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X0, X2, sk_A)
0.61/0.79	       | zip_tseitin1(X1, sk_A0, sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['0', '29'])).
0.61/0.79	tff('31', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.61/0.79	      X2 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           X0), sk_A0)
0.61/0.79	       | zip_tseitin1(X1, sk_A0, sk_A)
0.61/0.79	       | zip_tseitin1(X0, X2, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['30'])).
0.61/0.79	tff('32', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.61/0.79	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | zip_tseitin1(X0, X2, sk_A)
0.61/0.79	       | zip_tseitin1(X3, sk_A0, sk_A)
0.61/0.79	       | zip_tseitin1(X0, sk_A0, X1)),
0.61/0.79	    inference('sup-', [status(thm)], ['31', '4'])).
0.61/0.79	tff('33', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.61/0.79	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin1(X0, sk_A0, X1)
0.61/0.79	       | zip_tseitin1(X3, sk_A0, sk_A)
0.61/0.79	       | zip_tseitin1(X0, X2, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['32'])).
0.61/0.79	tff('34', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (~ $true | zip_tseitin1(X0, X1, sk_A) | zip_tseitin1(X0, sk_A0, sk_A)),
0.61/0.79	    inference('eq_fact', [status(thm)], ['33'])).
0.61/0.79	tff('35', plain,
0.61/0.79	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.61/0.79	      (zip_tseitin1(X0, sk_A0, sk_A) | zip_tseitin1(X0, X1, sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['34'])).
0.61/0.79	tff('36', plain, ![X0 : 'type/realax/real']: zip_tseitin1(X0, sk_A0, sk_A),
0.61/0.79	    inference('condensation', [status(thm)], ['35'])).
0.61/0.79	tff('37', plain,
0.61/0.79	    ![X5 : app_encode_fun('type/realax/real', $o), X9 : 'type/realax/real']:
0.61/0.79	      (~ zip_tseitin1(sk_A1(X9, X5), X9, X5)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', X5)), X9)
0.61/0.79	       | ~ zip_tseitin2(X5)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.61/0.79	tff('38', plain,
0.61/0.79	    (~ $true
0.61/0.79	     | ~ zip_tseitin2(sk_A)
0.61/0.79	     | app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['36', '37'])).
0.61/0.79	tff('39', plain,
0.61/0.79	    (~ $true
0.61/0.79	     | ~ $true
0.61/0.79	     | app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.61/0.79	    inference('demod', [status(thm)], ['38', '27'])).
0.61/0.79	tff('40', plain,
0.61/0.79	    app_encode_app('type/realax/real', $o, 
0.61/0.79	      app_encode_app('type/realax/real', 
0.61/0.79	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	          'type/realax/real', 'const/sets/sup', sk_A)), sk_A0),
0.61/0.79	    inference('simplify', [status(thm)], ['39'])).
0.61/0.79	tff('41', plain,
0.61/0.79	    (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	       app_encode_app('type/realax/real', 
0.61/0.79	         app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	         'const/sets/IN'('type/realax/real'), sk_A13), sk_A)
0.61/0.79	     | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.61/0.79	tff('42', plain,
0.61/0.79	    (~ $true
0.61/0.79	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	           'const/sets/IN'('type/realax/real'), sk_A13), sk_A)),
0.61/0.79	    inference('sup-', [status(thm)], ['40', '41'])).
0.61/0.79	tff('43', plain,
0.61/0.79	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	      app_encode_app('type/realax/real', 
0.61/0.79	        app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	        'const/sets/IN'('type/realax/real'), sk_A13), sk_A),
0.61/0.79	    inference('simplify', [status(thm)], ['42'])).
0.61/0.79	tff('44', plain,
0.61/0.79	    ![X0 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | ~ zip_tseitin2(sk_A)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['40', '12'])).
0.61/0.79	tff('45', plain,
0.61/0.79	    ![X0 : 'type/realax/real']:
0.61/0.79	      (~ $true
0.61/0.79	       | ~ $true
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.61/0.79	       | app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             X0), sk_A0)),
0.61/0.79	    inference('demod', [status(thm)], ['44', '27'])).
0.61/0.79	tff('46', plain,
0.61/0.79	    ![X0 : 'type/realax/real']:
0.61/0.79	      (app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           X0), sk_A0)
0.61/0.79	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.61/0.79	             app_encode_app('type/realax/real', 
0.61/0.79	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.61/0.79	               'const/sets/IN'('type/realax/real'), X0), sk_A)),
0.61/0.79	    inference('simplify', [status(thm)], ['45'])).
0.61/0.79	tff('47', plain,
0.61/0.79	    (~ $true
0.61/0.79	     | app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           sk_A13), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['43', '46'])).
0.61/0.79	tff('48', plain,
0.61/0.79	    app_encode_app('type/realax/real', $o, 
0.61/0.79	      app_encode_app('type/realax/real', 
0.61/0.79	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	        sk_A13), sk_A0),
0.61/0.79	    inference('simplify', [status(thm)], ['47'])).
0.61/0.79	tff('49', plain,
0.61/0.79	    (~ app_encode_app('type/realax/real', $o, 
0.61/0.79	         app_encode_app('type/realax/real', 
0.61/0.79	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	           sk_A13), sk_A0)
0.61/0.79	     | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.61/0.79	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.61/0.79	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.61/0.79	tff('50', plain,
0.61/0.79	    (~ $true
0.61/0.79	     | ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	           app_encode_app('type/realax/real', 
0.61/0.79	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	             sk_A13), sk_A0)),
0.61/0.79	    inference('sup-', [status(thm)], ['40', '49'])).
0.61/0.79	tff('51', plain,
0.61/0.79	    ~ app_encode_app('type/realax/real', $o, 
0.61/0.79	        app_encode_app('type/realax/real', 
0.61/0.79	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.61/0.79	          sk_A13), sk_A0),
0.61/0.79	    inference('simplify', [status(thm)], ['50'])).
0.61/0.79	tff('52', plain, ~ $true, inference('sup-', [status(thm)], ['48', '51'])).
0.61/0.79	tff('53', plain, $false, inference('simplify', [status(thm)], ['52'])).
0.61/0.79	
0.61/0.79	% SZS output end Refutation
0.61/0.79	EOF
