0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.21	% Computer   : n117.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 18:43:39 CST 2018
0.00/0.45	% done 360 iterations in 0.234s
0.00/0.45	% SZS status Theorem for 'stdin'
0.00/0.45	% SZS output start Refutation
0.00/0.45	tff(zf_stmt_10, conjecture,
0.00/0.45	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.00/0.45	     A1:'type/realax/real',A2:'type/realax/real']:
0.00/0.45	     ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                      app_encode_app('type/realax/real',
0.00/0.45	                                     app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.45	                                                                   $o),
0.00/0.45	                                                    $o),
0.00/0.45	                                     'const/sets/IN'('type/realax/real'),A2),
0.00/0.45	                      A) & 
0.00/0.45	       app_encode_app('type/realax/real',$o,
0.00/0.45	                      app_encode_app('type/realax/real',
0.00/0.45	                                     app_encode_fun('type/realax/real',$o),
0.00/0.45	                                     'const/realax/real_le',A2),
0.00/0.45	                      A1) & 
0.00/0.45	       (![A3:'type/realax/real']:
0.00/0.45	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                          app_encode_app('type/realax/real',
0.00/0.45	                                         app_encode_fun(app_encode_fun(
0.00/0.45	                                                        'type/realax/real',$o),
0.00/0.45	                                                        $o),
0.00/0.45	                                         'const/sets/IN'('type/realax/real'),
0.00/0.45	                                         A3),
0.00/0.45	                          A) =>
0.00/0.45	           app_encode_app('type/realax/real',$o,
0.00/0.45	                          app_encode_app('type/realax/real',
0.00/0.45	                                         app_encode_fun('type/realax/real',$o),
0.00/0.45	                                         'const/realax/real_le',A0),
0.00/0.45	                          A3)))) =>
0.00/0.45	      app_encode_app('type/realax/real',$o,
0.00/0.45	                     app_encode_app('type/realax/real',
0.00/0.45	                                    app_encode_fun('type/realax/real',$o),
0.00/0.45	                                    'const/realax/real_le',
0.00/0.45	                                    app_encode_app(app_encode_fun('type/realax/real',
0.00/0.45	                                                                  $o),
0.00/0.45	                                                   'type/realax/real',
0.00/0.45	                                                   'const/sets/inf',A)),
0.00/0.45	                     A1)))).
0.00/0.45	tff(zf_stmt_0, negated_conjecture,
0.00/0.45	  (~
0.00/0.45	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.00/0.45	       A1:'type/realax/real',A2:'type/realax/real']:
0.00/0.45	       ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                        app_encode_app('type/realax/real',
0.00/0.45	                                       app_encode_fun(app_encode_fun(
0.00/0.45	                                                      'type/realax/real',$o),
0.00/0.45	                                                      $o),
0.00/0.45	                                       'const/sets/IN'('type/realax/real'),A2),
0.00/0.45	                        A) & 
0.00/0.45	         app_encode_app('type/realax/real',$o,
0.00/0.45	                        app_encode_app('type/realax/real',
0.00/0.45	                                       app_encode_fun('type/realax/real',$o),
0.00/0.45	                                       'const/realax/real_le',A2),
0.00/0.45	                        A1) & 
0.00/0.45	         (![A3:'type/realax/real']:
0.00/0.45	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                            app_encode_app('type/realax/real',
0.00/0.45	                                           app_encode_fun(app_encode_fun(
0.00/0.45	                                                          'type/realax/real',
0.00/0.45	                                                          $o),$o),
0.00/0.45	                                           'const/sets/IN'('type/realax/real'),
0.00/0.45	                                           A3),
0.00/0.45	                            A) =>
0.00/0.45	             app_encode_app('type/realax/real',$o,
0.00/0.45	                            app_encode_app('type/realax/real',
0.00/0.45	                                           app_encode_fun('type/realax/real',
0.00/0.45	                                                          $o),
0.00/0.45	                                           'const/realax/real_le',A0),
0.00/0.45	                            A3)))) =>
0.00/0.45	        app_encode_app('type/realax/real',$o,
0.00/0.45	                       app_encode_app('type/realax/real',
0.00/0.45	                                      app_encode_fun('type/realax/real',$o),
0.00/0.45	                                      'const/realax/real_le',
0.00/0.45	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.45	                                                                    $o),
0.00/0.45	                                                     'type/realax/real',
0.00/0.45	                                                     'const/sets/inf',A)),
0.00/0.45	                       A1))))).
0.00/0.45	tff('0', plain,
0.00/0.45	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	      app_encode_app('type/realax/real', 
0.00/0.45	        app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	        'const/sets/IN'('type/realax/real'), sk_A2), sk_A),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff(zf_stmt_9, axiom,
0.00/0.45	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.45	     (((?[A0:'type/realax/real']:
0.00/0.45	          (![A1:'type/realax/real']:
0.00/0.45	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                             app_encode_app('type/realax/real',
0.00/0.45	                                            app_encode_fun(app_encode_fun(
0.00/0.45	                                                           'type/realax/real',
0.00/0.45	                                                           $o),$o),
0.00/0.45	                                            'const/sets/IN'('type/realax/real'),
0.00/0.45	                                            A1),
0.00/0.45	                             A) =>
0.00/0.45	              app_encode_app('type/realax/real',$o,
0.00/0.45	                             app_encode_app('type/realax/real',
0.00/0.45	                                            app_encode_fun('type/realax/real',
0.00/0.45	                                                           $o),
0.00/0.45	                                            'const/realax/real_le',A0),
0.00/0.45	                             A1)))) & 
0.00/0.45	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.45	      ((![A0:'type/realax/real']:
0.00/0.45	          ((![A1:'type/realax/real']:
0.00/0.45	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                              app_encode_app('type/realax/real',
0.00/0.45	                                             app_encode_fun(app_encode_fun(
0.00/0.45	                                                            'type/realax/real',
0.00/0.45	                                                            $o),$o),
0.00/0.45	                                             'const/sets/IN'('type/realax/real'),
0.00/0.45	                                             A1),
0.00/0.45	                              A) =>
0.00/0.45	               app_encode_app('type/realax/real',$o,
0.00/0.45	                              app_encode_app('type/realax/real',
0.00/0.45	                                             app_encode_fun('type/realax/real',
0.00/0.45	                                                            $o),
0.00/0.45	                                             'const/realax/real_le',A0),
0.00/0.45	                              A1))) =>
0.00/0.45	           app_encode_app('type/realax/real',$o,
0.00/0.45	                          app_encode_app('type/realax/real',
0.00/0.45	                                         app_encode_fun('type/realax/real',$o),
0.00/0.45	                                         'const/realax/real_le',A0),
0.00/0.45	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.45	                                         'type/realax/real','const/sets/inf',
0.00/0.45	                                         A)))) & 
0.00/0.45	       (![A0:'type/realax/real']:
0.00/0.45	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                          app_encode_app('type/realax/real',
0.00/0.45	                                         app_encode_fun(app_encode_fun(
0.00/0.45	                                                        'type/realax/real',$o),
0.00/0.45	                                                        $o),
0.00/0.45	                                         'const/sets/IN'('type/realax/real'),
0.00/0.45	                                         A0),
0.00/0.45	                          A) =>
0.00/0.45	           app_encode_app('type/realax/real',$o,
0.00/0.45	                          app_encode_app('type/realax/real',
0.00/0.45	                                         app_encode_fun('type/realax/real',$o),
0.00/0.45	                                         'const/realax/real_le',
0.00/0.45	                                         app_encode_app(app_encode_fun(
0.00/0.45	                                                        'type/realax/real',$o),
0.00/0.45	                                                        'type/realax/real',
0.00/0.45	                                                        'const/sets/inf',A)),
0.00/0.45	                          A0))))))).
0.00/0.45	tff(zf_stmt_1, axiom,
0.00/0.45	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                   app_encode_app('type/realax/real',
0.00/0.45	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.45	                                                                $o),
0.00/0.45	                                                 $o),
0.00/0.45	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.45	                   A) =>
0.00/0.45	    app_encode_app('type/realax/real',$o,
0.00/0.45	                   app_encode_app('type/realax/real',
0.00/0.45	                                  app_encode_fun('type/realax/real',$o),
0.00/0.45	                                  'const/realax/real_le',A0),
0.00/0.45	                   A1)) =>
0.00/0.45	   zip_tseitin0(A1,A0,A))).
0.00/0.45	tff('1', plain,
0.00/0.45	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.45	      X9 : app_encode_fun('type/realax/real', $o)]:
0.00/0.45	      (zip_tseitin0(X7, X8, X9)
0.00/0.45	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	             'const/sets/IN'('type/realax/real'), X7), X9)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.45	tff('2', plain,
0.00/0.45	    ![X16 : 'type/realax/real']:
0.00/0.45	      (app_encode_app('type/realax/real', $o, 
0.00/0.45	         app_encode_app('type/realax/real', 
0.00/0.45	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	           sk_A0), X16)
0.00/0.45	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	               'const/sets/IN'('type/realax/real'), X16), sk_A)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('3', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.45	      (~ $true
0.00/0.45	       | zip_tseitin0(X0, X1, sk_A)
0.00/0.45	       | app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             sk_A0), X0)),
0.00/0.45	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.45	tff('4', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.00/0.45	      (app_encode_app('type/realax/real', $o, 
0.00/0.45	         app_encode_app('type/realax/real', 
0.00/0.45	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	           sk_A0), X0)
0.00/0.45	       | zip_tseitin0(X0, X1, sk_A)),
0.00/0.45	    inference('simplify', [status(thm)], ['3'])).
0.00/0.45	tff('5', plain,
0.00/0.45	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.45	      X9 : app_encode_fun('type/realax/real', $o)]:
0.00/0.45	      (zip_tseitin0(X7, X8, X9)
0.00/0.45	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'const/realax/real_le', X8), X7)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.45	tff('6', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.45	      X2 : 'type/realax/real']:
0.00/0.45	      (~ $true | zip_tseitin0(X0, X2, sk_A) | zip_tseitin0(X0, sk_A0, X1)),
0.00/0.45	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.45	tff('7', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.45	      X2 : 'type/realax/real']:
0.00/0.45	      (zip_tseitin0(X0, sk_A0, X1) | zip_tseitin0(X0, X2, sk_A)),
0.00/0.45	    inference('simplify', [status(thm)], ['6'])).
0.00/0.45	tff('8', plain,
0.00/0.45	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin0(X0, sk_A0, sk_A)),
0.00/0.45	    inference('eq_fact', [status(thm)], ['7'])).
0.00/0.45	tff('9', plain, ![X0 : 'type/realax/real']: zip_tseitin0(X0, sk_A0, sk_A),
0.00/0.45	    inference('simplify', [status(thm)], ['8'])).
0.00/0.45	tff(zf_stmt_2, type, zip_tseitin2 :
0.00/0.45	    app_encode_fun('type/realax/real',$o) > $o).
0.00/0.45	tff(zf_stmt_3, axiom,
0.00/0.45	  (zip_tseitin2(A) =>
0.00/0.45	   ((![A0:'type/realax/real']:
0.00/0.45	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                       app_encode_app('type/realax/real',
0.00/0.45	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.45	                                                                    $o),
0.00/0.45	                                                     $o),
0.00/0.45	                                      'const/sets/IN'('type/realax/real'),A0),
0.00/0.45	                       A) =>
0.00/0.45	        app_encode_app('type/realax/real',$o,
0.00/0.45	                       app_encode_app('type/realax/real',
0.00/0.45	                                      app_encode_fun('type/realax/real',$o),
0.00/0.45	                                      'const/realax/real_le',
0.00/0.45	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.45	                                                                    $o),
0.00/0.45	                                                     'type/realax/real',
0.00/0.45	                                                     'const/sets/inf',A)),
0.00/0.45	                       A0))) & 
0.00/0.45	    (![A0:'type/realax/real']:
0.00/0.45	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.45	        app_encode_app('type/realax/real',$o,
0.00/0.45	                       app_encode_app('type/realax/real',
0.00/0.45	                                      app_encode_fun('type/realax/real',$o),
0.00/0.45	                                      'const/realax/real_le',A0),
0.00/0.45	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.45	                                      'type/realax/real','const/sets/inf',A))))))).
0.00/0.45	tff(zf_stmt_4, type, zip_tseitin1 :
0.00/0.45	    ('type/realax/real' * 
0.00/0.45	     'type/realax/real' * 
0.00/0.45	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.45	tff(zf_stmt_5, axiom,
0.00/0.45	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.45	                   app_encode_app('type/realax/real',
0.00/0.45	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.45	                                                                $o),
0.00/0.45	                                                 $o),
0.00/0.45	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.45	                   A) =>
0.00/0.45	    app_encode_app('type/realax/real',$o,
0.00/0.45	                   app_encode_app('type/realax/real',
0.00/0.45	                                  app_encode_fun('type/realax/real',$o),
0.00/0.45	                                  'const/realax/real_le',A0),
0.00/0.45	                   A1)) =>
0.00/0.45	   zip_tseitin1(A1,A0,A))).
0.00/0.45	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.45	    ('type/realax/real' * 
0.00/0.45	     'type/realax/real' * 
0.00/0.45	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.45	tff(zf_stmt_7, axiom,
0.00/0.45	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.45	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.45	       (?[A0:'type/realax/real']:
0.00/0.45	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.00/0.45	      zip_tseitin2(A)))).
0.00/0.45	tff('10', plain,
0.00/0.45	    ![X14 : app_encode_fun('type/realax/real', $o), X15 : 'type/realax/real']:
0.00/0.45	      (zip_tseitin2(X14)
0.00/0.45	       | ~ zip_tseitin0(sk_A12(X15, X14), X15, X14)
0.00/0.45	       | X14 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.45	tff('11', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.45	     | zip_tseitin2(sk_A)),
0.00/0.45	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.45	tff('12', plain,
0.00/0.45	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.45	    inference('simplify', [status(thm)], ['11'])).
0.00/0.45	tff('13', plain,
0.00/0.45	    app_encode_app('type/realax/real', $o, 
0.00/0.45	      app_encode_app('type/realax/real', 
0.00/0.45	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	        sk_A2), sk_A13),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('14', plain,
0.00/0.45	    ![X9 : app_encode_fun('type/realax/real', $o), X12 : 'type/realax/real']:
0.00/0.45	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	             'const/sets/IN'('type/realax/real'), X12), X9)
0.00/0.45	       | app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'type/realax/real', 'const/sets/inf', X9)), X12)
0.00/0.45	       | ~ zip_tseitin2(X9)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.45	tff(zf_stmt_7, axiom,
0.00/0.45	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.45	     ((app_encode_app('type/realax/real',$o,
0.00/0.45	                      app_encode_app('type/realax/real',
0.00/0.45	                                     app_encode_fun('type/realax/real',$o),
0.00/0.45	                                     'const/realax/real_le',A),
0.00/0.45	                      A0) & 
0.00/0.45	       app_encode_app('type/realax/real',$o,
0.00/0.45	                      app_encode_app('type/realax/real',
0.00/0.45	                                     app_encode_fun('type/realax/real',$o),
0.00/0.45	                                     'const/realax/real_le',A0),
0.00/0.45	                      A1)) =>
0.00/0.45	      app_encode_app('type/realax/real',$o,
0.00/0.45	                     app_encode_app('type/realax/real',
0.00/0.45	                                    app_encode_fun('type/realax/real',$o),
0.00/0.45	                                    'const/realax/real_le',A),
0.00/0.45	                     A1)))).
0.00/0.45	tff('15', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.45	      X2 : 'type/realax/real']:
0.00/0.45	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             X0), X1)
0.00/0.45	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'const/realax/real_le', X1), X2)
0.00/0.45	       | app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             X0), X2)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.45	tff('16', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.45	      X2 : 'type/realax/real']:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ zip_tseitin2(X1)
0.00/0.45	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	               'const/sets/IN'('type/realax/real'), X0), X1)
0.00/0.45	       | app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'type/realax/real', 'const/sets/inf', X1)), X2)
0.00/0.45	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'const/realax/real_le', X0), X2)),
0.00/0.45	    inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.45	tff('17', plain,
0.00/0.45	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.45	      X2 : 'type/realax/real']:
0.00/0.45	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             X0), X2)
0.00/0.45	       | app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'type/realax/real', 'const/sets/inf', X1)), X2)
0.00/0.45	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	               'const/sets/IN'('type/realax/real'), X0), X1)
0.00/0.45	       | ~ zip_tseitin2(X1)),
0.00/0.45	    inference('simplify', [status(thm)], ['16'])).
0.00/0.45	tff('18', plain,
0.00/0.45	    ![X0 : app_encode_fun('type/realax/real', $o)]:
0.00/0.45	      (~ $true
0.00/0.45	       | ~ zip_tseitin2(X0)
0.00/0.45	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	               'const/sets/IN'('type/realax/real'), sk_A2), X0)
0.00/0.45	       | app_encode_app('type/realax/real', $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.45	               'type/realax/real', 'const/sets/inf', X0)), sk_A13)),
0.00/0.45	    inference('sup-', [status(thm)], ['13', '17'])).
0.00/0.45	tff('19', plain,
0.00/0.45	    ![X0 : app_encode_fun('type/realax/real', $o)]:
0.00/0.45	      (app_encode_app('type/realax/real', $o, 
0.00/0.45	         app_encode_app('type/realax/real', 
0.00/0.45	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.45	             'type/realax/real', 'const/sets/inf', X0)), sk_A13)
0.00/0.45	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	             app_encode_app('type/realax/real', 
0.00/0.45	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	               'const/sets/IN'('type/realax/real'), sk_A2), X0)
0.00/0.45	       | ~ zip_tseitin2(X0)),
0.00/0.45	    inference('simplify', [status(thm)], ['18'])).
0.00/0.45	tff('20', plain,
0.00/0.45	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.45	        app_encode_app('type/realax/real', 
0.00/0.45	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.45	          app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.45	            'type/realax/real', 'const/sets/inf', sk_A)), sk_A13),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.45	tff('21', plain,
0.00/0.45	    (~ $true
0.00/0.45	     | ~ zip_tseitin2(sk_A)
0.00/0.45	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	           app_encode_app('type/realax/real', 
0.00/0.45	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	             'const/sets/IN'('type/realax/real'), sk_A2), sk_A)),
0.00/0.45	    inference('sup-', [status(thm)], ['19', '20'])).
0.00/0.45	tff('22', plain, (~ $true | ~ zip_tseitin2(sk_A) | ~ $true),
0.00/0.45	    inference('demod', [status(thm)], ['21', '0'])).
0.00/0.45	tff('23', plain, ~ zip_tseitin2(sk_A),
0.00/0.45	    inference('simplify', [status(thm)], ['22'])).
0.00/0.45	tff('24', plain, (~ $true | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.45	    inference('sup-', [status(thm)], ['12', '23'])).
0.00/0.45	tff('25', plain, sk_A = 'const/sets/EMPTY'('type/realax/real'),
0.00/0.45	    inference('simplify', [status(thm)], ['24'])).
0.00/0.45	tff(zf_stmt_8, axiom,
0.00/0.45	  (![A:$tType,A0:app_encode_fun(A,$o)]:
0.00/0.45	     ((?[A1:A]:
0.00/0.45	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.45	                        app_encode_app(A,
0.00/0.45	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.45	                                       'const/sets/IN'(A),A1),
0.00/0.45	                        A0)) <=>
0.00/0.45	      (A0 != 'const/sets/EMPTY'(A))))).
0.00/0.45	tff('26', plain,
0.00/0.45	    ![X3 : $tType, X4 : app_encode_fun(X3, $o), X5 : X3]:
0.00/0.45	      (X4 != 'const/sets/EMPTY'(X3)
0.00/0.45	       | ~ app_encode_app(app_encode_fun(X3, $o), $o, 
0.00/0.45	             app_encode_app(X3, app_encode_fun(app_encode_fun(X3, $o), $o), 
0.00/0.45	               'const/sets/IN'(X3), X5), X4)),
0.00/0.45	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.45	tff('27', plain,
0.00/0.45	    ![X3 : $tType, X5 : X3]:
0.00/0.45	      ~ app_encode_app(app_encode_fun(X3, $o), $o, 
0.00/0.45	          app_encode_app(X3, app_encode_fun(app_encode_fun(X3, $o), $o), 
0.00/0.45	            'const/sets/IN'(X3), X5), 'const/sets/EMPTY'(X3)),
0.00/0.45	    inference('simplify', [status(thm)], ['26'])).
0.00/0.45	tff('28', plain,
0.00/0.45	    ![X0 : 'type/realax/real']:
0.00/0.45	      ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.45	          app_encode_app('type/realax/real', 
0.00/0.45	            app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.45	            'const/sets/IN'('type/realax/real'), X0), sk_A),
0.00/0.45	    inference('sup-', [status(thm)], ['25', '27'])).
0.00/0.45	tff('29', plain, ~ $true, inference('sup-', [status(thm)], ['0', '28'])).
0.00/0.45	tff('30', plain, $false, inference('simplify', [status(thm)], ['29'])).
0.00/0.45	
0.00/0.45	% SZS output end Refutation
0.00/0.45	EOF
