0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n065.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:43:38 CST 2018
0.00/0.24	% done 44 iterations in 0.032s
0.00/0.24	% SZS status Theorem for 'stdin'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_10, conjecture,
0.00/0.24	  (![A:$tType,A0:'type/realax/real',A1:app_encode_fun('type/realax/real',$o),
0.00/0.24	     A2:A]:
0.00/0.24	     (((A1 != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	       (?[A3:'type/realax/real']:
0.00/0.24	          (![A4:'type/realax/real']:
0.00/0.24	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                             app_encode_app('type/realax/real',
0.00/0.24	                                            app_encode_fun(app_encode_fun(
0.00/0.24	                                                           'type/realax/real',
0.00/0.24	                                                           $o),$o),
0.00/0.24	                                            'const/sets/IN'('type/realax/real'),
0.00/0.24	                                            A4),
0.00/0.24	                             A1) =>
0.00/0.24	              app_encode_app('type/realax/real',$o,
0.00/0.24	                             app_encode_app('type/realax/real',
0.00/0.24	                                            app_encode_fun('type/realax/real',
0.00/0.24	                                                           $o),
0.00/0.24	                                            'const/realax/real_le',A3),
0.00/0.24	                             A4))))) =>
0.00/0.24	      (app_encode_app('type/realax/real',$o,
0.00/0.24	                      app_encode_app('type/realax/real',
0.00/0.24	                                     app_encode_fun('type/realax/real',$o),
0.00/0.24	                                     'const/realax/real_le',A0),
0.00/0.24	                      app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.24	                                     'type/realax/real','const/sets/inf',A1)) <=>
0.00/0.24	       (![A3:'type/realax/real']:
0.00/0.24	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                          app_encode_app('type/realax/real',
0.00/0.24	                                         app_encode_fun(app_encode_fun(
0.00/0.24	                                                        'type/realax/real',$o),
0.00/0.24	                                                        $o),
0.00/0.24	                                         'const/sets/IN'('type/realax/real'),
0.00/0.24	                                         A3),
0.00/0.24	                          A1) =>
0.00/0.24	           app_encode_app('type/realax/real',$o,
0.00/0.24	                          app_encode_app('type/realax/real',
0.00/0.24	                                         app_encode_fun('type/realax/real',$o),
0.00/0.24	                                         'const/realax/real_le',A0),
0.00/0.24	                          A3))))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![A:$tType,A0:'type/realax/real',
0.00/0.24	       A1:app_encode_fun('type/realax/real',$o),A2:A]:
0.00/0.24	       (((A1 != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	         (?[A3:'type/realax/real']:
0.00/0.24	            (![A4:'type/realax/real']:
0.00/0.24	               (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                               app_encode_app('type/realax/real',
0.00/0.24	                                              app_encode_fun(app_encode_fun(
0.00/0.24	                                                             'type/realax/real',
0.00/0.24	                                                             $o),$o),
0.00/0.24	                                              'const/sets/IN'('type/realax/real'),
0.00/0.24	                                              A4),
0.00/0.24	                               A1) =>
0.00/0.24	                app_encode_app('type/realax/real',$o,
0.00/0.24	                               app_encode_app('type/realax/real',
0.00/0.24	                                              app_encode_fun('type/realax/real',
0.00/0.24	                                                             $o),
0.00/0.24	                                              'const/realax/real_le',A3),
0.00/0.24	                               A4))))) =>
0.00/0.24	        (app_encode_app('type/realax/real',$o,
0.00/0.24	                        app_encode_app('type/realax/real',
0.00/0.24	                                       app_encode_fun('type/realax/real',$o),
0.00/0.24	                                       'const/realax/real_le',A0),
0.00/0.24	                        app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.24	                                       'type/realax/real','const/sets/inf',A1)) <=>
0.00/0.24	         (![A3:'type/realax/real']:
0.00/0.24	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                            app_encode_app('type/realax/real',
0.00/0.24	                                           app_encode_fun(app_encode_fun(
0.00/0.24	                                                          'type/realax/real',
0.00/0.24	                                                          $o),$o),
0.00/0.24	                                           'const/sets/IN'('type/realax/real'),
0.00/0.24	                                           A3),
0.00/0.24	                            A1) =>
0.00/0.24	             app_encode_app('type/realax/real',$o,
0.00/0.24	                            app_encode_app('type/realax/real',
0.00/0.24	                                           app_encode_fun('type/realax/real',
0.00/0.24	                                                          $o),
0.00/0.24	                                           'const/realax/real_le',A0),
0.00/0.24	                            A3)))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	       app_encode_app('type/realax/real', 
0.00/0.24	         app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	         'const/sets/IN'('type/realax/real'), sk_A3), sk_A12)
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff(zf_stmt_9, axiom,
0.00/0.24	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.24	     (((?[A0:'type/realax/real']:
0.00/0.24	          (![A1:'type/realax/real']:
0.00/0.24	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                             app_encode_app('type/realax/real',
0.00/0.24	                                            app_encode_fun(app_encode_fun(
0.00/0.24	                                                           'type/realax/real',
0.00/0.24	                                                           $o),$o),
0.00/0.24	                                            'const/sets/IN'('type/realax/real'),
0.00/0.24	                                            A1),
0.00/0.24	                             A) =>
0.00/0.24	              app_encode_app('type/realax/real',$o,
0.00/0.24	                             app_encode_app('type/realax/real',
0.00/0.24	                                            app_encode_fun('type/realax/real',
0.00/0.24	                                                           $o),
0.00/0.24	                                            'const/realax/real_le',A0),
0.00/0.24	                             A1)))) & 
0.00/0.24	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.24	      ((![A0:'type/realax/real']:
0.00/0.24	          ((![A1:'type/realax/real']:
0.00/0.24	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                              app_encode_app('type/realax/real',
0.00/0.24	                                             app_encode_fun(app_encode_fun(
0.00/0.24	                                                            'type/realax/real',
0.00/0.24	                                                            $o),$o),
0.00/0.24	                                             'const/sets/IN'('type/realax/real'),
0.00/0.24	                                             A1),
0.00/0.24	                              A) =>
0.00/0.24	               app_encode_app('type/realax/real',$o,
0.00/0.24	                              app_encode_app('type/realax/real',
0.00/0.24	                                             app_encode_fun('type/realax/real',
0.00/0.24	                                                            $o),
0.00/0.24	                                             'const/realax/real_le',A0),
0.00/0.24	                              A1))) =>
0.00/0.24	           app_encode_app('type/realax/real',$o,
0.00/0.24	                          app_encode_app('type/realax/real',
0.00/0.24	                                         app_encode_fun('type/realax/real',$o),
0.00/0.24	                                         'const/realax/real_le',A0),
0.00/0.24	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.24	                                         'type/realax/real','const/sets/inf',
0.00/0.24	                                         A)))) & 
0.00/0.24	       (![A0:'type/realax/real']:
0.00/0.24	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                          app_encode_app('type/realax/real',
0.00/0.24	                                         app_encode_fun(app_encode_fun(
0.00/0.24	                                                        'type/realax/real',$o),
0.00/0.24	                                                        $o),
0.00/0.24	                                         'const/sets/IN'('type/realax/real'),
0.00/0.24	                                         A0),
0.00/0.24	                          A) =>
0.00/0.24	           app_encode_app('type/realax/real',$o,
0.00/0.24	                          app_encode_app('type/realax/real',
0.00/0.24	                                         app_encode_fun('type/realax/real',$o),
0.00/0.24	                                         'const/realax/real_le',
0.00/0.24	                                         app_encode_app(app_encode_fun(
0.00/0.24	                                                        'type/realax/real',$o),
0.00/0.24	                                                        'type/realax/real',
0.00/0.24	                                                        'const/sets/inf',A)),
0.00/0.24	                          A0))))))).
0.00/0.24	tff(zf_stmt_1, axiom,
0.00/0.24	  (zip_tseitin2(A) =>
0.00/0.24	   ((![A0:'type/realax/real']:
0.00/0.24	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                       app_encode_app('type/realax/real',
0.00/0.24	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.24	                                                                    $o),
0.00/0.24	                                                     $o),
0.00/0.24	                                      'const/sets/IN'('type/realax/real'),A0),
0.00/0.24	                       A) =>
0.00/0.24	        app_encode_app('type/realax/real',$o,
0.00/0.24	                       app_encode_app('type/realax/real',
0.00/0.24	                                      app_encode_fun('type/realax/real',$o),
0.00/0.24	                                      'const/realax/real_le',
0.00/0.24	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.24	                                                                    $o),
0.00/0.24	                                                     'type/realax/real',
0.00/0.24	                                                     'const/sets/inf',A)),
0.00/0.24	                       A0))) & 
0.00/0.24	    (![A0:'type/realax/real']:
0.00/0.24	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.24	        app_encode_app('type/realax/real',$o,
0.00/0.24	                       app_encode_app('type/realax/real',
0.00/0.24	                                      app_encode_fun('type/realax/real',$o),
0.00/0.24	                                      'const/realax/real_le',A0),
0.00/0.24	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.24	                                      'type/realax/real','const/sets/inf',A))))))).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X9 : app_encode_fun('type/realax/real', $o), X12 : 'type/realax/real']:
0.00/0.24	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), X12), X9)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'type/realax/real', 'const/sets/inf', X9)), X12)
0.00/0.24	       | ~ zip_tseitin2(X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('2', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	     | ~ zip_tseitin2(sk_A12)
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12)), sk_A3)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff(zf_stmt_2, axiom,
0.00/0.24	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                   app_encode_app('type/realax/real',
0.00/0.24	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.24	                                                                $o),
0.00/0.24	                                                 $o),
0.00/0.24	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.24	                   A) =>
0.00/0.24	    app_encode_app('type/realax/real',$o,
0.00/0.24	                   app_encode_app('type/realax/real',
0.00/0.24	                                  app_encode_fun('type/realax/real',$o),
0.00/0.24	                                  'const/realax/real_le',A0),
0.00/0.24	                   A1)) =>
0.00/0.24	   zip_tseitin0(A1,A0,A))).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.24	      X9 : app_encode_fun('type/realax/real', $o)]:
0.00/0.24	      (zip_tseitin0(X7, X8, X9)
0.00/0.24	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), X7), X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.24	tff(zf_stmt_3, type, zip_tseitin2 :
0.00/0.24	    app_encode_fun('type/realax/real',$o) > $o).
0.00/0.24	tff(zf_stmt_4, type, zip_tseitin1 :
0.00/0.24	    ('type/realax/real' * 
0.00/0.24	     'type/realax/real' * 
0.00/0.24	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.24	tff(zf_stmt_5, axiom,
0.00/0.24	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.24	                   app_encode_app('type/realax/real',
0.00/0.24	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.24	                                                                $o),
0.00/0.24	                                                 $o),
0.00/0.24	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.24	                   A) =>
0.00/0.24	    app_encode_app('type/realax/real',$o,
0.00/0.24	                   app_encode_app('type/realax/real',
0.00/0.24	                                  app_encode_fun('type/realax/real',$o),
0.00/0.24	                                  'const/realax/real_le',A0),
0.00/0.24	                   A1)) =>
0.00/0.24	   zip_tseitin1(A1,A0,A))).
0.00/0.24	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.24	    ('type/realax/real' * 
0.00/0.24	     'type/realax/real' * 
0.00/0.24	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.24	tff(zf_stmt_7, axiom,
0.00/0.24	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.24	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.24	       (?[A0:'type/realax/real']:
0.00/0.24	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.00/0.24	      zip_tseitin2(A)))).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X14 : app_encode_fun('type/realax/real', $o), X15 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin2(X14)
0.00/0.24	       | ~ zip_tseitin0(sk_A11(X15, X14), X15, X14)
0.00/0.24	       | X14 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), sk_A11(X1, X0)), X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), sk_A11(X1, X0)), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X16 : 'type/realax/real']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A31), X16)
0.00/0.24	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	               'const/sets/IN'('type/realax/real'), X16), sk_A12)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | sk_A12 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(sk_A12)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A31), sk_A11(X0, sk_A12))),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A31), sk_A11(X0, sk_A12))
0.00/0.24	       | zip_tseitin2(sk_A12)
0.00/0.24	       | sk_A12 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.24	    inference('simplify', [status(thm)], ['8'])).
0.00/0.24	tff('10', plain, sk_A12 != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A31), sk_A11(X0, sk_A12))
0.00/0.24	       | zip_tseitin2(sk_A12)),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['9', '10'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.24	      X9 : app_encode_fun('type/realax/real', $o)]:
0.00/0.24	      (zip_tseitin0(X7, X8, X9)
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X8), X7)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X1), sk_A11(X1, X0))
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | zip_tseitin2(X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['12', '4'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin2(X0)
0.00/0.24	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X1), sk_A11(X1, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | zip_tseitin2(sk_A12)
0.00/0.24	     | sk_A12 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.24	     | zip_tseitin2(sk_A12)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    (sk_A12 = 'const/sets/EMPTY'('type/realax/real') | zip_tseitin2(sk_A12)),
0.00/0.24	    inference('simplify', [status(thm)], ['15'])).
0.00/0.24	tff('17', plain, zip_tseitin2(sk_A12),
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['16', '10'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12)), sk_A3)),
0.00/0.24	    inference('demod', [status(thm)], ['2', '17'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    (app_encode_app('type/realax/real', $o, 
0.00/0.24	       app_encode_app('type/realax/real', 
0.00/0.24	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12)), sk_A3)
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('simplify', [status(thm)], ['18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X9 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real', 
0.00/0.24	      X11 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin1(X10, X11, X9)
0.00/0.24	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), X10), X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('21', plain,
0.00/0.24	    ![X9 : app_encode_fun('type/realax/real', $o), X13 : 'type/realax/real']:
0.00/0.24	      (~ zip_tseitin1(sk_A1(X13, X9), X13, X9)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X13), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', X9))
0.00/0.24	       | ~ zip_tseitin2(X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), sk_A1(X1, X0)), X0)
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X1), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['20', '21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           X1), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), sk_A1(X1, X0)), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X17 : 'type/realax/real']:
0.00/0.24	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.24	             'const/sets/IN'('type/realax/real'), X17), sk_A12)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), X17)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ zip_tseitin2(sk_A12)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), sk_A1(X0, sk_A12))),
0.00/0.24	    inference('sup-', [status(thm)], ['23', '24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ $true
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), sk_A1(X0, sk_A12))),
0.00/0.24	    inference('demod', [status(thm)], ['25', '17'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), sk_A1(X0, sk_A12))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('simplify', [status(thm)], ['26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X9 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real', 
0.00/0.24	      X11 : 'type/realax/real']:
0.00/0.24	      (zip_tseitin1(X10, X11, X9)
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X11), X10)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.24	tff('29', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X1), sk_A1(X1, X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X1), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', X0))),
0.00/0.24	    inference('sup-', [status(thm)], ['28', '21'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           X1), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', X0))
0.00/0.24	       | ~ zip_tseitin2(X0)
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X1), sk_A1(X1, X0))),
0.00/0.24	    inference('simplify', [status(thm)], ['29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	     | ~ zip_tseitin2(sk_A12)
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('sup-', [status(thm)], ['27', '30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12))
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), 
0.00/0.24	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	           'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('demod', [status(thm)], ['31', '17'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    app_encode_app('type/realax/real', $o, 
0.00/0.24	      app_encode_app('type/realax/real', 
0.00/0.24	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	        sk_A0), 
0.00/0.24	      app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	        'type/realax/real', 'const/sets/inf', sk_A12)),
0.00/0.24	    inference('simplify', [status(thm)], ['32'])).
0.00/0.24	tff(zf_stmt_8, axiom,
0.00/0.24	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.24	     ((app_encode_app('type/realax/real',$o,
0.00/0.24	                      app_encode_app('type/realax/real',
0.00/0.24	                                     app_encode_fun('type/realax/real',$o),
0.00/0.24	                                     'const/realax/real_le',A),
0.00/0.24	                      A0) & 
0.00/0.24	       app_encode_app('type/realax/real',$o,
0.00/0.24	                      app_encode_app('type/realax/real',
0.00/0.24	                                     app_encode_fun('type/realax/real',$o),
0.00/0.24	                                     'const/realax/real_le',A0),
0.00/0.24	                      A1)) =>
0.00/0.24	      app_encode_app('type/realax/real',$o,
0.00/0.24	                     app_encode_app('type/realax/real',
0.00/0.24	                                    app_encode_fun('type/realax/real',$o),
0.00/0.24	                                    'const/realax/real_le',A),
0.00/0.24	                     A1)))).
0.00/0.24	tff('34', plain,
0.00/0.24	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
0.00/0.24	      X6 : 'type/realax/real']:
0.00/0.24	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X4), X5)
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', X5), X6)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             X4), X6)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.24	tff('35', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), X0)
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', 
0.00/0.24	               app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	                 'type/realax/real', 'const/sets/inf', sk_A12)), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['33', '34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X0 : 'type/realax/real']:
0.00/0.24	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'type/realax/real', 'const/sets/inf', sk_A12)), X0)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['35'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    (~ app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           sk_A0), sk_A3)
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('38', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'type/realax/real', 'const/sets/inf', sk_A12)), sk_A3)
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('sup-', [status(thm)], ['36', '37'])).
0.00/0.24	tff('39', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'type/realax/real', 'const/sets/inf', sk_A12)), sk_A3)
0.00/0.24	     | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['38', '33'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	        app_encode_app('type/realax/real', 
0.00/0.24	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	          app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	            'type/realax/real', 'const/sets/inf', sk_A12)), sk_A3),
0.00/0.24	    inference('simplify', [status(thm)], ['39'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             sk_A0), 
0.00/0.24	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.24	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.00/0.24	    inference('sup-', [status(thm)], ['19', '40'])).
0.00/0.24	tff('42', plain, (~ $true | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['41', '33'])).
0.00/0.24	tff('43', plain, $false, inference('simplify', [status(thm)], ['42'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
