0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n183.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:44:38 CST 2018
0.00/0.26	% done 73 iterations in 0.049s
0.00/0.26	% SZS status Theorem for 'stdin'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff(zf_stmt_8, axiom,
0.00/0.26	  (![A:$tType,A0:app_encode_fun(A,$o)]:
0.00/0.26	     ((?[A1:A]:
0.00/0.26	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                        app_encode_app(A,
0.00/0.26	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                       'const/sets/IN'(A),A1),
0.00/0.26	                        A0)) <=>
0.00/0.26	      (A0 != 'const/sets/EMPTY'(A))))).
0.00/0.26	tff('0', plain,
0.00/0.26	    ![X3 : $tType, X6 : app_encode_fun(X3, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X3, $o), $o, 
0.00/0.26	         app_encode_app(X3, app_encode_fun(app_encode_fun(X3, $o), $o), 
0.00/0.26	           'const/sets/IN'(X3), sk_A1(X3, X6)), X6)
0.00/0.26	       | X6 = 'const/sets/EMPTY'(X3)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.26	tff(zf_stmt_10, conjecture,
0.00/0.26	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.00/0.26	     A1:'type/realax/real']:
0.00/0.26	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.26	       (![A2:'type/realax/real']:
0.00/0.26	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                          app_encode_app('type/realax/real',
0.00/0.26	                                         app_encode_fun(app_encode_fun(
0.00/0.26	                                                        'type/realax/real',$o),
0.00/0.26	                                                        $o),
0.00/0.26	                                         'const/sets/IN'('type/realax/real'),
0.00/0.26	                                         A2),
0.00/0.26	                          A) =>
0.00/0.26	           (app_encode_app('type/realax/real',$o,
0.00/0.26	                           app_encode_app('type/realax/real',
0.00/0.26	                                          app_encode_fun('type/realax/real',
0.00/0.26	                                                         $o),
0.00/0.26	                                          'const/realax/real_le',A0),
0.00/0.26	                           A2) & 
0.00/0.26	            app_encode_app('type/realax/real',$o,
0.00/0.26	                           app_encode_app('type/realax/real',
0.00/0.26	                                          app_encode_fun('type/realax/real',
0.00/0.26	                                                         $o),
0.00/0.26	                                          'const/realax/real_le',A2),
0.00/0.26	                           A1))))) =>
0.00/0.26	      (app_encode_app('type/realax/real',$o,
0.00/0.26	                      app_encode_app('type/realax/real',
0.00/0.26	                                     app_encode_fun('type/realax/real',$o),
0.00/0.26	                                     'const/realax/real_le',A0),
0.00/0.26	                      app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.26	                                     'type/realax/real','const/sets/inf',A)) & 
0.00/0.26	       app_encode_app('type/realax/real',$o,
0.00/0.26	                      app_encode_app('type/realax/real',
0.00/0.26	                                     app_encode_fun('type/realax/real',$o),
0.00/0.26	                                     'const/realax/real_le',
0.00/0.26	                                     app_encode_app(app_encode_fun('type/realax/real',
0.00/0.26	                                                                   $o),
0.00/0.26	                                                    'type/realax/real',
0.00/0.26	                                                    'const/sets/inf',A)),
0.00/0.26	                      A1))))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.00/0.26	       A1:'type/realax/real']:
0.00/0.26	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.26	         (![A2:'type/realax/real']:
0.00/0.26	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                            app_encode_app('type/realax/real',
0.00/0.26	                                           app_encode_fun(app_encode_fun(
0.00/0.26	                                                          'type/realax/real',
0.00/0.26	                                                          $o),$o),
0.00/0.26	                                           'const/sets/IN'('type/realax/real'),
0.00/0.26	                                           A2),
0.00/0.26	                            A) =>
0.00/0.26	             (app_encode_app('type/realax/real',$o,
0.00/0.26	                             app_encode_app('type/realax/real',
0.00/0.26	                                            app_encode_fun('type/realax/real',
0.00/0.26	                                                           $o),
0.00/0.26	                                            'const/realax/real_le',A0),
0.00/0.26	                             A2) & 
0.00/0.26	              app_encode_app('type/realax/real',$o,
0.00/0.26	                             app_encode_app('type/realax/real',
0.00/0.26	                                            app_encode_fun('type/realax/real',
0.00/0.26	                                                           $o),
0.00/0.26	                                            'const/realax/real_le',A2),
0.00/0.26	                             A1))))) =>
0.00/0.26	        (app_encode_app('type/realax/real',$o,
0.00/0.26	                        app_encode_app('type/realax/real',
0.00/0.26	                                       app_encode_fun('type/realax/real',$o),
0.00/0.26	                                       'const/realax/real_le',A0),
0.00/0.26	                        app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.26	                                       'type/realax/real','const/sets/inf',A)) & 
0.00/0.26	         app_encode_app('type/realax/real',$o,
0.00/0.26	                        app_encode_app('type/realax/real',
0.00/0.26	                                       app_encode_fun('type/realax/real',$o),
0.00/0.26	                                       'const/realax/real_le',
0.00/0.26	                                       app_encode_app(app_encode_fun(
0.00/0.26	                                                      'type/realax/real',$o),
0.00/0.26	                                                      'type/realax/real',
0.00/0.26	                                                      'const/sets/inf',A)),
0.00/0.26	                        A1)))))).
0.00/0.26	tff('1', plain,
0.00/0.26	    ![X16 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           X16), sk_A13)
0.00/0.26	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	               'const/sets/IN'('type/realax/real'), X16), sk_A)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('2', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A1('type/realax/real', sk_A)), sk_A13)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.26	tff('3', plain,
0.00/0.26	    (app_encode_app('type/realax/real', $o, 
0.00/0.26	       app_encode_app('type/realax/real', 
0.00/0.26	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	         sk_A1('type/realax/real', sk_A)), sk_A13)
0.00/0.26	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.26	    inference('simplify', [status(thm)], ['2'])).
0.00/0.26	tff('4', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('5', plain,
0.00/0.26	    app_encode_app('type/realax/real', $o, 
0.00/0.26	      app_encode_app('type/realax/real', 
0.00/0.26	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	        sk_A1('type/realax/real', sk_A)), sk_A13),
0.00/0.26	    inference('simplify_reflect-', [status(thm)], ['3', '4'])).
0.00/0.26	tff(zf_stmt_9, axiom,
0.00/0.26	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.26	     (((?[A0:'type/realax/real']:
0.00/0.26	          (![A1:'type/realax/real']:
0.00/0.26	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                             app_encode_app('type/realax/real',
0.00/0.26	                                            app_encode_fun(app_encode_fun(
0.00/0.26	                                                           'type/realax/real',
0.00/0.26	                                                           $o),$o),
0.00/0.26	                                            'const/sets/IN'('type/realax/real'),
0.00/0.26	                                            A1),
0.00/0.26	                             A) =>
0.00/0.26	              app_encode_app('type/realax/real',$o,
0.00/0.26	                             app_encode_app('type/realax/real',
0.00/0.26	                                            app_encode_fun('type/realax/real',
0.00/0.26	                                                           $o),
0.00/0.26	                                            'const/realax/real_le',A0),
0.00/0.26	                             A1)))) & 
0.00/0.26	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.26	      ((![A0:'type/realax/real']:
0.00/0.26	          ((![A1:'type/realax/real']:
0.00/0.26	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                              app_encode_app('type/realax/real',
0.00/0.26	                                             app_encode_fun(app_encode_fun(
0.00/0.26	                                                            'type/realax/real',
0.00/0.26	                                                            $o),$o),
0.00/0.26	                                             'const/sets/IN'('type/realax/real'),
0.00/0.26	                                             A1),
0.00/0.26	                              A) =>
0.00/0.26	               app_encode_app('type/realax/real',$o,
0.00/0.26	                              app_encode_app('type/realax/real',
0.00/0.26	                                             app_encode_fun('type/realax/real',
0.00/0.26	                                                            $o),
0.00/0.26	                                             'const/realax/real_le',A0),
0.00/0.26	                              A1))) =>
0.00/0.26	           app_encode_app('type/realax/real',$o,
0.00/0.26	                          app_encode_app('type/realax/real',
0.00/0.26	                                         app_encode_fun('type/realax/real',$o),
0.00/0.26	                                         'const/realax/real_le',A0),
0.00/0.26	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.26	                                         'type/realax/real','const/sets/inf',
0.00/0.26	                                         A)))) & 
0.00/0.26	       (![A0:'type/realax/real']:
0.00/0.26	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                          app_encode_app('type/realax/real',
0.00/0.26	                                         app_encode_fun(app_encode_fun(
0.00/0.26	                                                        'type/realax/real',$o),
0.00/0.26	                                                        $o),
0.00/0.26	                                         'const/sets/IN'('type/realax/real'),
0.00/0.26	                                         A0),
0.00/0.26	                          A) =>
0.00/0.26	           app_encode_app('type/realax/real',$o,
0.00/0.26	                          app_encode_app('type/realax/real',
0.00/0.26	                                         app_encode_fun('type/realax/real',$o),
0.00/0.26	                                         'const/realax/real_le',
0.00/0.26	                                         app_encode_app(app_encode_fun(
0.00/0.26	                                                        'type/realax/real',$o),
0.00/0.26	                                                        'type/realax/real',
0.00/0.26	                                                        'const/sets/inf',A)),
0.00/0.26	                          A0))))))).
0.00/0.26	tff(zf_stmt_1, axiom,
0.00/0.26	  (zip_tseitin2(A) =>
0.00/0.26	   ((![A0:'type/realax/real']:
0.00/0.26	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                       app_encode_app('type/realax/real',
0.00/0.26	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.26	                                                                    $o),
0.00/0.26	                                                     $o),
0.00/0.26	                                      'const/sets/IN'('type/realax/real'),A0),
0.00/0.26	                       A) =>
0.00/0.26	        app_encode_app('type/realax/real',$o,
0.00/0.26	                       app_encode_app('type/realax/real',
0.00/0.26	                                      app_encode_fun('type/realax/real',$o),
0.00/0.26	                                      'const/realax/real_le',
0.00/0.26	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.26	                                                                    $o),
0.00/0.26	                                                     'type/realax/real',
0.00/0.26	                                                     'const/sets/inf',A)),
0.00/0.26	                       A0))) & 
0.00/0.26	    (![A0:'type/realax/real']:
0.00/0.26	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.26	        app_encode_app('type/realax/real',$o,
0.00/0.26	                       app_encode_app('type/realax/real',
0.00/0.26	                                      app_encode_fun('type/realax/real',$o),
0.00/0.26	                                      'const/realax/real_le',A0),
0.00/0.26	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.26	                                      'type/realax/real','const/sets/inf',A))))))).
0.00/0.26	tff('6', plain,
0.00/0.26	    ![X9 : app_encode_fun('type/realax/real', $o), X12 : 'type/realax/real']:
0.00/0.26	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), X12), X9)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'type/realax/real', 'const/sets/inf', X9)), X12)
0.00/0.26	       | ~ zip_tseitin2(X9)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.26	tff('7', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'type/realax/real', 'const/sets/inf', X0)), 
0.00/0.26	           sk_A1('type/realax/real', X0))),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '6'])).
0.00/0.26	tff('8', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o)]:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', X0)), 
0.00/0.26	         sk_A1('type/realax/real', X0))
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.26	    inference('simplify', [status(thm)], ['7'])).
0.00/0.26	tff(zf_stmt_7, axiom,
0.00/0.26	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.26	     ((app_encode_app('type/realax/real',$o,
0.00/0.26	                      app_encode_app('type/realax/real',
0.00/0.26	                                     app_encode_fun('type/realax/real',$o),
0.00/0.26	                                     'const/realax/real_le',A),
0.00/0.26	                      A0) & 
0.00/0.26	       app_encode_app('type/realax/real',$o,
0.00/0.26	                      app_encode_app('type/realax/real',
0.00/0.26	                                     app_encode_fun('type/realax/real',$o),
0.00/0.26	                                     'const/realax/real_le',A0),
0.00/0.26	                      A1)) =>
0.00/0.26	      app_encode_app('type/realax/real',$o,
0.00/0.26	                     app_encode_app('type/realax/real',
0.00/0.26	                                    app_encode_fun('type/realax/real',$o),
0.00/0.26	                                    'const/realax/real_le',A),
0.00/0.26	                     A1)))).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.26	      X2 : 'type/realax/real']:
0.00/0.26	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X0), X1)
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X1), X2)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X0), X2)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'type/realax/real', 'const/sets/inf', X0)), X1)
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', sk_A1('type/realax/real', X0)), X1)),
0.00/0.26	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.26	tff('11', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             sk_A1('type/realax/real', X0)), X1)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'type/realax/real', 'const/sets/inf', X0)), X1)
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.26	    inference('simplify', [status(thm)], ['10'])).
0.00/0.26	tff('12', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	     | ~ zip_tseitin2(sk_A)
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
0.00/0.26	    inference('sup-', [status(thm)], ['5', '11'])).
0.00/0.26	tff(zf_stmt_2, axiom,
0.00/0.26	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                   app_encode_app('type/realax/real',
0.00/0.26	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.26	                                                                $o),
0.00/0.26	                                                 $o),
0.00/0.26	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.26	                   A) =>
0.00/0.26	    app_encode_app('type/realax/real',$o,
0.00/0.26	                   app_encode_app('type/realax/real',
0.00/0.26	                                  app_encode_fun('type/realax/real',$o),
0.00/0.26	                                  'const/realax/real_le',A0),
0.00/0.26	                   A1)) =>
0.00/0.26	   zip_tseitin0(A1,A0,A))).
0.00/0.26	tff('13', plain,
0.00/0.26	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.26	      X9 : app_encode_fun('type/realax/real', $o)]:
0.00/0.26	      (zip_tseitin0(X7, X8, X9)
0.00/0.26	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), X7), X9)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.26	tff(zf_stmt_3, type, zip_tseitin2 :
0.00/0.26	    app_encode_fun('type/realax/real',$o) > $o).
0.00/0.26	tff(zf_stmt_4, type, zip_tseitin1 :
0.00/0.26	    ('type/realax/real' * 
0.00/0.26	     'type/realax/real' * 
0.00/0.26	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.26	tff(zf_stmt_5, axiom,
0.00/0.26	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.26	                   app_encode_app('type/realax/real',
0.00/0.26	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.26	                                                                $o),
0.00/0.26	                                                 $o),
0.00/0.26	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.26	                   A) =>
0.00/0.26	    app_encode_app('type/realax/real',$o,
0.00/0.26	                   app_encode_app('type/realax/real',
0.00/0.26	                                  app_encode_fun('type/realax/real',$o),
0.00/0.26	                                  'const/realax/real_le',A0),
0.00/0.26	                   A1)) =>
0.00/0.26	   zip_tseitin1(A1,A0,A))).
0.00/0.26	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.26	    ('type/realax/real' * 
0.00/0.26	     'type/realax/real' * 
0.00/0.26	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.26	tff(zf_stmt_7, axiom,
0.00/0.26	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.26	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.26	       (?[A0:'type/realax/real']:
0.00/0.26	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.00/0.26	      zip_tseitin2(A)))).
0.00/0.26	tff('14', plain,
0.00/0.26	    ![X14 : app_encode_fun('type/realax/real', $o), X15 : 'type/realax/real']:
0.00/0.26	      (zip_tseitin2(X14)
0.00/0.26	       | ~ zip_tseitin0(sk_A12(X15, X14), X15, X14)
0.00/0.26	       | X14 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.26	tff('15', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), sk_A12(X1, X0)), X0)
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | zip_tseitin2(X0)),
0.00/0.26	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.26	tff('16', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (zip_tseitin2(X0)
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), sk_A12(X1, X0)), X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['15'])).
0.00/0.26	tff('17', plain,
0.00/0.26	    ![X16 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), X16)
0.00/0.26	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	               'const/sets/IN'('type/realax/real'), X16), sk_A)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('18', plain,
0.00/0.26	    ![X0 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | zip_tseitin2(sk_A)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             sk_A0), sk_A12(X0, sk_A))),
0.00/0.26	    inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.26	tff('19', plain,
0.00/0.26	    ![X0 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), sk_A12(X0, sk_A))
0.00/0.26	       | zip_tseitin2(sk_A)
0.00/0.26	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.26	    inference('simplify', [status(thm)], ['18'])).
0.00/0.26	tff('20', plain,
0.00/0.26	    ![X0 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), sk_A12(X0, sk_A))
0.00/0.26	       | zip_tseitin2(sk_A)),
0.00/0.26	    inference('simplify_reflect-', [status(thm)], ['19', '4'])).
0.00/0.26	tff('21', plain,
0.00/0.26	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.26	      X9 : app_encode_fun('type/realax/real', $o)]:
0.00/0.26	      (zip_tseitin0(X7, X8, X9)
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X8), X7)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.26	tff('22', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X1), sk_A12(X1, X0))
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | zip_tseitin2(X0)),
0.00/0.26	    inference('sup-', [status(thm)], ['21', '14'])).
0.00/0.26	tff('23', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (zip_tseitin2(X0)
0.00/0.26	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X1), sk_A12(X1, X0))),
0.00/0.26	    inference('simplify', [status(thm)], ['22'])).
0.00/0.26	tff('24', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | zip_tseitin2(sk_A)
0.00/0.26	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	     | zip_tseitin2(sk_A)),
0.00/0.26	    inference('sup-', [status(thm)], ['20', '23'])).
0.00/0.26	tff('25', plain,
0.00/0.26	    (sk_A = 'const/sets/EMPTY'('type/realax/real') | zip_tseitin2(sk_A)),
0.00/0.26	    inference('simplify', [status(thm)], ['24'])).
0.00/0.26	tff('26', plain, zip_tseitin2(sk_A),
0.00/0.26	    inference('simplify_reflect-', [status(thm)], ['25', '4'])).
0.00/0.26	tff('27', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.26	     | ~ $true
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
0.00/0.26	    inference('demod', [status(thm)], ['12', '26'])).
0.00/0.26	tff('28', plain,
0.00/0.26	    (app_encode_app('type/realax/real', $o, 
0.00/0.26	       app_encode_app('type/realax/real', 
0.00/0.26	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)
0.00/0.26	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.26	    inference('simplify', [status(thm)], ['27'])).
0.00/0.26	tff('29', plain,
0.00/0.26	    app_encode_app('type/realax/real', $o, 
0.00/0.26	      app_encode_app('type/realax/real', 
0.00/0.26	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	          'type/realax/real', 'const/sets/inf', sk_A)), sk_A13),
0.00/0.26	    inference('simplify_reflect-', [status(thm)], ['28', '4'])).
0.00/0.26	tff('30', plain,
0.00/0.26	    (~ app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', sk_A))
0.00/0.26	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('31', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             sk_A0), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', sk_A))),
0.00/0.26	    inference('sup-', [status(thm)], ['29', '30'])).
0.00/0.26	tff('32', plain,
0.00/0.26	    ![X9 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real', 
0.00/0.26	      X11 : 'type/realax/real']:
0.00/0.26	      (zip_tseitin1(X10, X11, X9)
0.00/0.26	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), X10), X9)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.26	tff('33', plain,
0.00/0.26	    ![X9 : app_encode_fun('type/realax/real', $o), X13 : 'type/realax/real']:
0.00/0.26	      (~ zip_tseitin1(sk_A11(X13, X9), X13, X9)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X13), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', X9))
0.00/0.26	       | ~ zip_tseitin2(X9)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.26	tff('34', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), sk_A11(X1, X0)), X0)
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X1), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', X0))),
0.00/0.26	    inference('sup-', [status(thm)], ['32', '33'])).
0.00/0.26	tff('35', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           X1), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', X0))
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.26	             'const/sets/IN'('type/realax/real'), sk_A11(X1, X0)), X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['34'])).
0.00/0.26	tff('36', plain,
0.00/0.26	    ![X0 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ zip_tseitin2(sk_A)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X0), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', sk_A))
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             sk_A0), sk_A11(X0, sk_A))),
0.00/0.26	    inference('sup-', [status(thm)], ['35', '17'])).
0.00/0.26	tff('37', plain,
0.00/0.26	    ![X0 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ $true
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X0), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', sk_A))
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             sk_A0), sk_A11(X0, sk_A))),
0.00/0.26	    inference('demod', [status(thm)], ['36', '26'])).
0.00/0.26	tff('38', plain,
0.00/0.26	    ![X0 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), sk_A11(X0, sk_A))
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X0), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', sk_A))),
0.00/0.26	    inference('simplify', [status(thm)], ['37'])).
0.00/0.26	tff('39', plain,
0.00/0.26	    ![X9 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real', 
0.00/0.26	      X11 : 'type/realax/real']:
0.00/0.26	      (zip_tseitin1(X10, X11, X9)
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X11), X10)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.26	tff('40', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X1), sk_A11(X1, X0))
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | app_encode_app('type/realax/real', $o, 
0.00/0.26	           app_encode_app('type/realax/real', 
0.00/0.26	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	             X1), 
0.00/0.26	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	             'type/realax/real', 'const/sets/inf', X0))),
0.00/0.26	    inference('sup-', [status(thm)], ['39', '33'])).
0.00/0.26	tff('41', plain,
0.00/0.26	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.26	      (app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           X1), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', X0))
0.00/0.26	       | ~ zip_tseitin2(X0)
0.00/0.26	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.26	             app_encode_app('type/realax/real', 
0.00/0.26	               app_encode_fun('type/realax/real', $o), 
0.00/0.26	               'const/realax/real_le', X1), sk_A11(X1, X0))),
0.00/0.26	    inference('simplify', [status(thm)], ['40'])).
0.00/0.26	tff('42', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', sk_A))
0.00/0.26	     | ~ zip_tseitin2(sk_A)
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', sk_A))),
0.00/0.26	    inference('sup-', [status(thm)], ['38', '41'])).
0.00/0.26	tff('43', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', sk_A))
0.00/0.26	     | ~ $true
0.00/0.26	     | app_encode_app('type/realax/real', $o, 
0.00/0.26	         app_encode_app('type/realax/real', 
0.00/0.26	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	           sk_A0), 
0.00/0.26	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	           'type/realax/real', 'const/sets/inf', sk_A))),
0.00/0.26	    inference('demod', [status(thm)], ['42', '26'])).
0.00/0.26	tff('44', plain,
0.00/0.26	    app_encode_app('type/realax/real', $o, 
0.00/0.26	      app_encode_app('type/realax/real', 
0.00/0.26	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.26	        sk_A0), 
0.00/0.26	      app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.26	        'type/realax/real', 'const/sets/inf', sk_A)),
0.00/0.26	    inference('simplify', [status(thm)], ['43'])).
0.00/0.26	tff('45', plain, (~ $true | ~ $true),
0.00/0.26	    inference('demod', [status(thm)], ['31', '44'])).
0.00/0.26	tff('46', plain, $false, inference('simplify', [status(thm)], ['45'])).
0.00/0.26	
0.00/0.26	% SZS output end Refutation
0.00/0.26	EOF
