0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n126.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:43:24 CST 2018
0.50/0.74	% done 790 iterations in 0.538s
0.50/0.74	% SZS status Theorem for 'stdin'
0.50/0.74	% SZS output start Refutation
0.50/0.74	tff(zf_stmt_9, axiom,
0.50/0.74	  (![A:app_encode_fun('type/realax/real',$o)]:
0.50/0.74	     (((?[A0:'type/realax/real']:
0.50/0.74	          (![A1:'type/realax/real']:
0.50/0.74	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                             app_encode_app('type/realax/real',
0.50/0.74	                                            app_encode_fun(app_encode_fun(
0.50/0.74	                                                           'type/realax/real',
0.50/0.74	                                                           $o),$o),
0.50/0.74	                                            'const/sets/IN'('type/realax/real'),
0.50/0.74	                                            A1),
0.50/0.74	                             A) =>
0.50/0.74	              app_encode_app('type/realax/real',$o,
0.50/0.74	                             app_encode_app('type/realax/real',
0.50/0.74	                                            app_encode_fun('type/realax/real',
0.50/0.74	                                                           $o),
0.50/0.74	                                            'const/realax/real_le',A0),
0.50/0.74	                             A1)))) & 
0.50/0.74	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.50/0.74	      ((![A0:'type/realax/real']:
0.50/0.74	          ((![A1:'type/realax/real']:
0.50/0.74	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                              app_encode_app('type/realax/real',
0.50/0.74	                                             app_encode_fun(app_encode_fun(
0.50/0.74	                                                            'type/realax/real',
0.50/0.74	                                                            $o),$o),
0.50/0.74	                                             'const/sets/IN'('type/realax/real'),
0.50/0.74	                                             A1),
0.50/0.74	                              A) =>
0.50/0.74	               app_encode_app('type/realax/real',$o,
0.50/0.74	                              app_encode_app('type/realax/real',
0.50/0.74	                                             app_encode_fun('type/realax/real',
0.50/0.74	                                                            $o),
0.50/0.74	                                             'const/realax/real_le',A0),
0.50/0.74	                              A1))) =>
0.50/0.74	           app_encode_app('type/realax/real',$o,
0.50/0.74	                          app_encode_app('type/realax/real',
0.50/0.74	                                         app_encode_fun('type/realax/real',$o),
0.50/0.74	                                         'const/realax/real_le',A0),
0.50/0.74	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.50/0.74	                                         'type/realax/real','const/sets/inf',
0.50/0.74	                                         A)))) & 
0.50/0.74	       (![A0:'type/realax/real']:
0.50/0.74	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                          app_encode_app('type/realax/real',
0.50/0.74	                                         app_encode_fun(app_encode_fun(
0.50/0.74	                                                        'type/realax/real',$o),
0.50/0.74	                                                        $o),
0.50/0.74	                                         'const/sets/IN'('type/realax/real'),
0.50/0.74	                                         A0),
0.50/0.74	                          A) =>
0.50/0.74	           app_encode_app('type/realax/real',$o,
0.50/0.74	                          app_encode_app('type/realax/real',
0.50/0.74	                                         app_encode_fun('type/realax/real',$o),
0.50/0.74	                                         'const/realax/real_le',
0.50/0.74	                                         app_encode_app(app_encode_fun(
0.50/0.74	                                                        'type/realax/real',$o),
0.50/0.74	                                                        'type/realax/real',
0.50/0.74	                                                        'const/sets/inf',A)),
0.50/0.74	                          A0))))))).
0.50/0.74	tff(zf_stmt_0, axiom,
0.50/0.74	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                   app_encode_app('type/realax/real',
0.50/0.74	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.50/0.74	                                                                $o),
0.50/0.74	                                                 $o),
0.50/0.74	                                  'const/sets/IN'('type/realax/real'),A1),
0.50/0.74	                   A) =>
0.50/0.74	    app_encode_app('type/realax/real',$o,
0.50/0.74	                   app_encode_app('type/realax/real',
0.50/0.74	                                  app_encode_fun('type/realax/real',$o),
0.50/0.74	                                  'const/realax/real_le',A0),
0.50/0.74	                   A1)) =>
0.50/0.74	   zip_tseitin1(A1,A0,A))).
0.50/0.74	tff('0', plain,
0.50/0.74	    ![X9 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real', 
0.50/0.74	      X11 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin1(X10, X11, X9)
0.50/0.74	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	             'const/sets/IN'('type/realax/real'), X10), X9)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.50/0.74	tff(zf_stmt_1, axiom,
0.50/0.74	  (zip_tseitin2(A) =>
0.50/0.74	   ((![A0:'type/realax/real']:
0.50/0.74	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                       app_encode_app('type/realax/real',
0.50/0.74	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.50/0.74	                                                                    $o),
0.50/0.74	                                                     $o),
0.50/0.74	                                      'const/sets/IN'('type/realax/real'),A0),
0.50/0.74	                       A) =>
0.50/0.74	        app_encode_app('type/realax/real',$o,
0.50/0.74	                       app_encode_app('type/realax/real',
0.50/0.74	                                      app_encode_fun('type/realax/real',$o),
0.50/0.74	                                      'const/realax/real_le',
0.50/0.74	                                      app_encode_app(app_encode_fun('type/realax/real',
0.50/0.74	                                                                    $o),
0.50/0.74	                                                     'type/realax/real',
0.50/0.74	                                                     'const/sets/inf',A)),
0.50/0.74	                       A0))) & 
0.50/0.74	    (![A0:'type/realax/real']:
0.50/0.74	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.50/0.74	        app_encode_app('type/realax/real',$o,
0.50/0.74	                       app_encode_app('type/realax/real',
0.50/0.74	                                      app_encode_fun('type/realax/real',$o),
0.50/0.74	                                      'const/realax/real_le',A0),
0.50/0.74	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.50/0.74	                                      'type/realax/real','const/sets/inf',A))))))).
0.50/0.74	tff('1', plain,
0.50/0.74	    ![X9 : app_encode_fun('type/realax/real', $o), X12 : 'type/realax/real']:
0.50/0.74	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	             'const/sets/IN'('type/realax/real'), X12), X9)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'type/realax/real', 'const/sets/inf', X9)), X12)
0.50/0.74	       | ~ zip_tseitin2(X9)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.50/0.74	tff(zf_stmt_10, conjecture,
0.50/0.74	  (![A:$tType,A0:'type/realax/real',A1:app_encode_fun('type/realax/real',$o),
0.50/0.74	     A2:A]:
0.50/0.74	     (((A1 != 'const/sets/EMPTY'('type/realax/real')) & 
0.50/0.74	       (?[A3:'type/realax/real']:
0.50/0.74	          (![A4:'type/realax/real']:
0.50/0.74	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                             app_encode_app('type/realax/real',
0.50/0.74	                                            app_encode_fun(app_encode_fun(
0.50/0.74	                                                           'type/realax/real',
0.50/0.74	                                                           $o),$o),
0.50/0.74	                                            'const/sets/IN'('type/realax/real'),
0.50/0.74	                                            A4),
0.50/0.74	                             A1) =>
0.50/0.74	              app_encode_app('type/realax/real',$o,
0.50/0.74	                             app_encode_app('type/realax/real',
0.50/0.74	                                            app_encode_fun('type/realax/real',
0.50/0.74	                                                           $o),
0.50/0.74	                                            'const/realax/real_le',A3),
0.50/0.74	                             A4))))) =>
0.50/0.74	      (app_encode_app('type/realax/real',$o,
0.50/0.74	                      app_encode_app('type/realax/real',
0.50/0.74	                                     app_encode_fun('type/realax/real',$o),
0.50/0.74	                                     'const/realax/real_le',A0),
0.50/0.74	                      app_encode_app(app_encode_fun('type/realax/real',$o),
0.50/0.74	                                     'type/realax/real','const/sets/inf',A1)) <=>
0.50/0.74	       (![A3:'type/realax/real']:
0.50/0.74	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                          app_encode_app('type/realax/real',
0.50/0.74	                                         app_encode_fun(app_encode_fun(
0.50/0.74	                                                        'type/realax/real',$o),
0.50/0.74	                                                        $o),
0.50/0.74	                                         'const/sets/IN'('type/realax/real'),
0.50/0.74	                                         A3),
0.50/0.74	                          A1) =>
0.50/0.74	           app_encode_app('type/realax/real',$o,
0.50/0.74	                          app_encode_app('type/realax/real',
0.50/0.74	                                         app_encode_fun('type/realax/real',$o),
0.50/0.74	                                         'const/realax/real_le',A0),
0.50/0.74	                          A3))))))).
0.50/0.74	tff(zf_stmt_2, negated_conjecture,
0.50/0.74	  (~
0.50/0.74	    (![A:$tType,A0:'type/realax/real',
0.50/0.74	       A1:app_encode_fun('type/realax/real',$o),A2:A]:
0.50/0.74	       (((A1 != 'const/sets/EMPTY'('type/realax/real')) & 
0.50/0.74	         (?[A3:'type/realax/real']:
0.50/0.74	            (![A4:'type/realax/real']:
0.50/0.74	               (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                               app_encode_app('type/realax/real',
0.50/0.74	                                              app_encode_fun(app_encode_fun(
0.50/0.74	                                                             'type/realax/real',
0.50/0.74	                                                             $o),$o),
0.50/0.74	                                              'const/sets/IN'('type/realax/real'),
0.50/0.74	                                              A4),
0.50/0.74	                               A1) =>
0.50/0.74	                app_encode_app('type/realax/real',$o,
0.50/0.74	                               app_encode_app('type/realax/real',
0.50/0.74	                                              app_encode_fun('type/realax/real',
0.50/0.74	                                                             $o),
0.50/0.74	                                              'const/realax/real_le',A3),
0.50/0.74	                               A4))))) =>
0.50/0.74	        (app_encode_app('type/realax/real',$o,
0.50/0.74	                        app_encode_app('type/realax/real',
0.50/0.74	                                       app_encode_fun('type/realax/real',$o),
0.50/0.74	                                       'const/realax/real_le',A0),
0.50/0.74	                        app_encode_app(app_encode_fun('type/realax/real',$o),
0.50/0.74	                                       'type/realax/real','const/sets/inf',A1)) <=>
0.50/0.74	         (![A3:'type/realax/real']:
0.50/0.74	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                            app_encode_app('type/realax/real',
0.50/0.74	                                           app_encode_fun(app_encode_fun(
0.50/0.74	                                                          'type/realax/real',
0.50/0.74	                                                          $o),$o),
0.50/0.74	                                           'const/sets/IN'('type/realax/real'),
0.50/0.74	                                           A3),
0.50/0.74	                            A1) =>
0.50/0.74	             app_encode_app('type/realax/real',$o,
0.50/0.74	                            app_encode_app('type/realax/real',
0.50/0.74	                                           app_encode_fun('type/realax/real',
0.50/0.74	                                                          $o),
0.50/0.74	                                           'const/realax/real_le',A0),
0.50/0.74	                            A3)))))))).
0.50/0.74	tff('2', plain,
0.50/0.74	    ![X17 : 'type/realax/real']:
0.50/0.74	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	             'const/sets/IN'('type/realax/real'), X17), sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X17)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.50/0.74	tff('3', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X0, X1, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['0', '2'])).
0.50/0.74	tff('4', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), X0)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))
0.50/0.74	       | zip_tseitin1(X0, X1, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['3'])).
0.50/0.74	tff('5', plain,
0.50/0.74	    ![X9 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real', 
0.50/0.74	      X11 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin1(X10, X11, X9)
0.50/0.74	       | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'const/realax/real_le', X11), X10)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.50/0.74	tff('6', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.50/0.74	      X2 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X0, X2, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))
0.50/0.74	       | zip_tseitin1(X0, sk_A0, X1)),
0.50/0.74	    inference('sup-', [status(thm)], ['4', '5'])).
0.50/0.74	tff('7', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.50/0.74	      X2 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin1(X0, sk_A0, X1)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))
0.50/0.74	       | zip_tseitin1(X0, X2, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['6'])).
0.50/0.74	tff('8', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X0, sk_A0, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.50/0.74	    inference('eq_fact', [status(thm)], ['7'])).
0.50/0.74	tff('9', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), 
0.50/0.74	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	           'type/realax/real', 'const/sets/inf', sk_A12))
0.50/0.74	       | zip_tseitin1(X0, sk_A0, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['8'])).
0.50/0.74	tff(zf_stmt_8, axiom,
0.50/0.74	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.50/0.74	     ((app_encode_app('type/realax/real',$o,
0.50/0.74	                      app_encode_app('type/realax/real',
0.50/0.74	                                     app_encode_fun('type/realax/real',$o),
0.50/0.74	                                     'const/realax/real_le',A),
0.50/0.74	                      A0) & 
0.50/0.74	       app_encode_app('type/realax/real',$o,
0.50/0.74	                      app_encode_app('type/realax/real',
0.50/0.74	                                     app_encode_fun('type/realax/real',$o),
0.50/0.74	                                     'const/realax/real_le',A0),
0.50/0.74	                      A1)) =>
0.50/0.74	      app_encode_app('type/realax/real',$o,
0.50/0.74	                     app_encode_app('type/realax/real',
0.50/0.74	                                    app_encode_fun('type/realax/real',$o),
0.50/0.74	                                    'const/realax/real_le',A),
0.50/0.74	                     A1)))).
0.50/0.74	tff('10', plain,
0.50/0.74	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
0.50/0.74	      X6 : 'type/realax/real']:
0.50/0.74	      (~ app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             X4), X5)
0.50/0.74	       | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'const/realax/real_le', X5), X6)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             X4), X6)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.50/0.74	tff('11', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)
0.50/0.74	       | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'const/realax/real_le', 
0.50/0.74	               app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	                 'type/realax/real', 'const/sets/inf', sk_A12)), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['9', '10'])).
0.50/0.74	tff('12', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'type/realax/real', 'const/sets/inf', sk_A12)), X0)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['11'])).
0.50/0.74	tff('13', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | ~ zip_tseitin2(sk_A12)
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X0), sk_A12)
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['1', '12'])).
0.50/0.74	tff(zf_stmt_3, axiom,
0.50/0.74	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.50/0.74	                   app_encode_app('type/realax/real',
0.50/0.74	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.50/0.74	                                                                $o),
0.50/0.74	                                                 $o),
0.50/0.74	                                  'const/sets/IN'('type/realax/real'),A1),
0.50/0.74	                   A) =>
0.50/0.74	    app_encode_app('type/realax/real',$o,
0.50/0.74	                   app_encode_app('type/realax/real',
0.50/0.74	                                  app_encode_fun('type/realax/real',$o),
0.50/0.74	                                  'const/realax/real_le',A0),
0.50/0.74	                   A1)) =>
0.50/0.74	   zip_tseitin0(A1,A0,A))).
0.50/0.74	tff('14', plain,
0.50/0.74	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.50/0.74	      X9 : app_encode_fun('type/realax/real', $o)]:
0.50/0.74	      (zip_tseitin0(X7, X8, X9)
0.50/0.74	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	             'const/sets/IN'('type/realax/real'), X7), X9)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.50/0.74	tff('15', plain,
0.50/0.74	    ![X16 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A31), X16)
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X16), sk_A12)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.50/0.74	tff('16', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin0(X0, X1, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A31), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['14', '15'])).
0.50/0.74	tff('17', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A31), X0)
0.50/0.74	       | zip_tseitin0(X0, X1, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['16'])).
0.50/0.74	tff('18', plain,
0.50/0.74	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.50/0.74	      X9 : app_encode_fun('type/realax/real', $o)]:
0.50/0.74	      (zip_tseitin0(X7, X8, X9)
0.50/0.74	       | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'const/realax/real_le', X8), X7)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.50/0.74	tff('19', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.50/0.74	      X2 : 'type/realax/real']:
0.50/0.74	      (~ $true | zip_tseitin0(X0, X2, sk_A12) | zip_tseitin0(X0, sk_A31, X1)),
0.50/0.74	    inference('sup-', [status(thm)], ['17', '18'])).
0.50/0.74	tff('20', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.50/0.74	      X2 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin0(X0, sk_A31, X1) | zip_tseitin0(X0, X2, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['19'])).
0.50/0.74	tff('21', plain,
0.50/0.74	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin0(X0, sk_A31, sk_A12)),
0.50/0.74	    inference('eq_fact', [status(thm)], ['20'])).
0.50/0.74	tff('22', plain,
0.50/0.74	    ![X0 : 'type/realax/real']: zip_tseitin0(X0, sk_A31, sk_A12),
0.50/0.74	    inference('simplify', [status(thm)], ['21'])).
0.50/0.74	tff(zf_stmt_4, type, zip_tseitin2 :
0.50/0.74	    app_encode_fun('type/realax/real',$o) > $o).
0.50/0.74	tff(zf_stmt_5, type, zip_tseitin1 :
0.50/0.74	    ('type/realax/real' * 
0.50/0.74	     'type/realax/real' * 
0.50/0.74	     app_encode_fun('type/realax/real',$o)) > $o).
0.50/0.74	tff(zf_stmt_6, type, zip_tseitin0 :
0.50/0.74	    ('type/realax/real' * 
0.50/0.74	     'type/realax/real' * 
0.50/0.74	     app_encode_fun('type/realax/real',$o)) > $o).
0.50/0.74	tff(zf_stmt_7, axiom,
0.50/0.74	  (![A:app_encode_fun('type/realax/real',$o)]:
0.50/0.74	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.50/0.74	       (?[A0:'type/realax/real']:
0.50/0.74	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.50/0.74	      zip_tseitin2(A)))).
0.50/0.74	tff('23', plain,
0.50/0.74	    ![X14 : app_encode_fun('type/realax/real', $o), X15 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin2(X14)
0.50/0.74	       | ~ zip_tseitin0(sk_A11(X15, X14), X15, X14)
0.50/0.74	       | X14 = 'const/sets/EMPTY'('type/realax/real')),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.50/0.74	tff('24', plain,
0.50/0.74	    (~ $true
0.50/0.74	     | sk_A12 = 'const/sets/EMPTY'('type/realax/real')
0.50/0.74	     | zip_tseitin2(sk_A12)),
0.50/0.74	    inference('sup-', [status(thm)], ['22', '23'])).
0.50/0.74	tff('25', plain,
0.50/0.74	    (zip_tseitin2(sk_A12) | sk_A12 = 'const/sets/EMPTY'('type/realax/real')),
0.50/0.74	    inference('simplify', [status(thm)], ['24'])).
0.50/0.74	tff('26', plain, sk_A12 != 'const/sets/EMPTY'('type/realax/real'),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.50/0.74	tff('27', plain, zip_tseitin2(sk_A12),
0.50/0.74	    inference('simplify_reflect-', [status(thm)], ['25', '26'])).
0.50/0.74	tff('28', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | ~ $true
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X0), sk_A12)
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('demod', [status(thm)], ['13', '27'])).
0.50/0.74	tff('29', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), X0)
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X0), sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['28'])).
0.50/0.74	tff('30', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.50/0.74	      X2 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X0, X2, sk_A12)
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['0', '29'])).
0.50/0.74	tff('31', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.50/0.74	      X2 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), X0)
0.50/0.74	       | zip_tseitin1(X1, sk_A0, sk_A12)
0.50/0.74	       | zip_tseitin1(X0, X2, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['30'])).
0.50/0.74	tff('32', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.50/0.74	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X0, X2, sk_A12)
0.50/0.74	       | zip_tseitin1(X3, sk_A0, sk_A12)
0.50/0.74	       | zip_tseitin1(X0, sk_A0, X1)),
0.50/0.74	    inference('sup-', [status(thm)], ['31', '5'])).
0.50/0.74	tff('33', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.50/0.74	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin1(X0, sk_A0, X1)
0.50/0.74	       | zip_tseitin1(X3, sk_A0, sk_A12)
0.50/0.74	       | zip_tseitin1(X0, X2, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['32'])).
0.50/0.74	tff('34', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | zip_tseitin1(X0, X1, sk_A12)
0.50/0.74	       | zip_tseitin1(X0, sk_A0, sk_A12)),
0.50/0.74	    inference('eq_fact', [status(thm)], ['33'])).
0.50/0.74	tff('35', plain,
0.50/0.74	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.50/0.74	      (zip_tseitin1(X0, sk_A0, sk_A12) | zip_tseitin1(X0, X1, sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['34'])).
0.50/0.74	tff('36', plain, ![X0 : 'type/realax/real']: zip_tseitin1(X0, sk_A0, sk_A12),
0.50/0.74	    inference('condensation', [status(thm)], ['35'])).
0.50/0.74	tff('37', plain,
0.50/0.74	    ![X9 : app_encode_fun('type/realax/real', $o), X13 : 'type/realax/real']:
0.50/0.74	      (~ zip_tseitin1(sk_A1(X13, X9), X13, X9)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             X13), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', X9))
0.50/0.74	       | ~ zip_tseitin2(X9)),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.50/0.74	tff('38', plain,
0.50/0.74	    (~ $true
0.50/0.74	     | ~ zip_tseitin2(sk_A12)
0.50/0.74	     | app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), 
0.50/0.74	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	           'type/realax/real', 'const/sets/inf', sk_A12))),
0.50/0.74	    inference('sup-', [status(thm)], ['36', '37'])).
0.50/0.74	tff('39', plain,
0.50/0.74	    (~ $true
0.50/0.74	     | ~ $true
0.50/0.74	     | app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), 
0.50/0.74	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	           'type/realax/real', 'const/sets/inf', sk_A12))),
0.50/0.74	    inference('demod', [status(thm)], ['38', '27'])).
0.50/0.74	tff('40', plain,
0.50/0.74	    app_encode_app('type/realax/real', $o, 
0.50/0.74	      app_encode_app('type/realax/real', 
0.50/0.74	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	        sk_A0), 
0.50/0.74	      app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	        'type/realax/real', 'const/sets/inf', sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['39'])).
0.50/0.74	tff('41', plain,
0.50/0.74	    (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	       app_encode_app('type/realax/real', 
0.50/0.74	         app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	         'const/sets/IN'('type/realax/real'), sk_A3), sk_A12)
0.50/0.74	     | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.50/0.74	tff('42', plain,
0.50/0.74	    (~ $true
0.50/0.74	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	           'const/sets/IN'('type/realax/real'), sk_A3), sk_A12)),
0.50/0.74	    inference('sup-', [status(thm)], ['40', '41'])).
0.50/0.74	tff('43', plain,
0.50/0.74	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	      app_encode_app('type/realax/real', 
0.50/0.74	        app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	        'const/sets/IN'('type/realax/real'), sk_A3), sk_A12),
0.50/0.74	    inference('simplify', [status(thm)], ['42'])).
0.50/0.74	tff('44', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)
0.50/0.74	       | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'const/realax/real_le', 
0.50/0.74	               app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	                 'type/realax/real', 'const/sets/inf', sk_A12)), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['40', '10'])).
0.50/0.74	tff('45', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (~ app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	               'type/realax/real', 'const/sets/inf', sk_A12)), X0)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('simplify', [status(thm)], ['44'])).
0.50/0.74	tff('46', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | ~ zip_tseitin2(sk_A12)
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X0), sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('sup-', [status(thm)], ['1', '45'])).
0.50/0.74	tff('47', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (~ $true
0.50/0.74	       | ~ $true
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X0), sk_A12)
0.50/0.74	       | app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), X0)),
0.50/0.74	    inference('demod', [status(thm)], ['46', '27'])).
0.50/0.74	tff('48', plain,
0.50/0.74	    ![X0 : 'type/realax/real']:
0.50/0.74	      (app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), X0)
0.50/0.74	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.50/0.74	             app_encode_app('type/realax/real', 
0.50/0.74	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.50/0.74	               'const/sets/IN'('type/realax/real'), X0), sk_A12)),
0.50/0.74	    inference('simplify', [status(thm)], ['47'])).
0.50/0.74	tff('49', plain,
0.50/0.74	    (~ $true
0.50/0.74	     | app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), sk_A3)),
0.50/0.74	    inference('sup-', [status(thm)], ['43', '48'])).
0.50/0.74	tff('50', plain,
0.50/0.74	    app_encode_app('type/realax/real', $o, 
0.50/0.74	      app_encode_app('type/realax/real', 
0.50/0.74	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	        sk_A0), sk_A3),
0.50/0.74	    inference('simplify', [status(thm)], ['49'])).
0.50/0.74	tff('51', plain,
0.50/0.74	    (~ app_encode_app('type/realax/real', $o, 
0.50/0.74	         app_encode_app('type/realax/real', 
0.50/0.74	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	           sk_A0), sk_A3)
0.50/0.74	     | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), 
0.50/0.74	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.50/0.74	             'type/realax/real', 'const/sets/inf', sk_A12))),
0.50/0.74	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.50/0.74	tff('52', plain,
0.50/0.74	    (~ $true
0.50/0.74	     | ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	           app_encode_app('type/realax/real', 
0.50/0.74	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	             sk_A0), sk_A3)),
0.50/0.74	    inference('sup-', [status(thm)], ['40', '51'])).
0.50/0.74	tff('53', plain,
0.50/0.74	    ~ app_encode_app('type/realax/real', $o, 
0.50/0.74	        app_encode_app('type/realax/real', 
0.50/0.74	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.50/0.74	          sk_A0), sk_A3),
0.50/0.74	    inference('simplify', [status(thm)], ['52'])).
0.50/0.74	tff('54', plain, ~ $true, inference('sup-', [status(thm)], ['50', '53'])).
0.50/0.74	tff('55', plain, $false, inference('simplify', [status(thm)], ['54'])).
0.50/0.74	
0.50/0.74	% SZS output end Refutation
0.50/0.74	EOF
