0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n145.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:41:39 CST 2018
0.00/0.21	% done 18 iterations in 0.010s
0.00/0.21	% SZS status Theorem for 'stdin'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(zf_stmt_8, axiom,
0.00/0.21	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.21	     (((?[A0:'type/realax/real']:
0.00/0.21	          (![A1:'type/realax/real']:
0.00/0.21	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                             app_encode_app('type/realax/real',
0.00/0.21	                                            app_encode_fun(app_encode_fun(
0.00/0.21	                                                           'type/realax/real',
0.00/0.21	                                                           $o),$o),
0.00/0.21	                                            'const/sets/IN'('type/realax/real'),
0.00/0.21	                                            A1),
0.00/0.21	                             A) =>
0.00/0.21	              app_encode_app('type/realax/real',$o,
0.00/0.21	                             app_encode_app('type/realax/real',
0.00/0.21	                                            app_encode_fun('type/realax/real',
0.00/0.21	                                                           $o),
0.00/0.21	                                            'const/realax/real_le',A1),
0.00/0.21	                             A0)))) & 
0.00/0.21	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.21	      ((![A0:'type/realax/real']:
0.00/0.21	          ((![A1:'type/realax/real']:
0.00/0.21	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                              app_encode_app('type/realax/real',
0.00/0.21	                                             app_encode_fun(app_encode_fun(
0.00/0.21	                                                            'type/realax/real',
0.00/0.21	                                                            $o),$o),
0.00/0.21	                                             'const/sets/IN'('type/realax/real'),
0.00/0.21	                                             A1),
0.00/0.21	                              A) =>
0.00/0.21	               app_encode_app('type/realax/real',$o,
0.00/0.21	                              app_encode_app('type/realax/real',
0.00/0.21	                                             app_encode_fun('type/realax/real',
0.00/0.21	                                                            $o),
0.00/0.21	                                             'const/realax/real_le',A1),
0.00/0.21	                              A0))) =>
0.00/0.21	           app_encode_app('type/realax/real',$o,
0.00/0.21	                          app_encode_app('type/realax/real',
0.00/0.21	                                         app_encode_fun('type/realax/real',$o),
0.00/0.21	                                         'const/realax/real_le',
0.00/0.21	                                         app_encode_app(app_encode_fun(
0.00/0.21	                                                        'type/realax/real',$o),
0.00/0.21	                                                        'type/realax/real',
0.00/0.21	                                                        'const/sets/sup',A)),
0.00/0.21	                          A0))) & 
0.00/0.21	       (![A0:'type/realax/real']:
0.00/0.21	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                          app_encode_app('type/realax/real',
0.00/0.21	                                         app_encode_fun(app_encode_fun(
0.00/0.21	                                                        'type/realax/real',$o),
0.00/0.21	                                                        $o),
0.00/0.21	                                         'const/sets/IN'('type/realax/real'),
0.00/0.21	                                         A0),
0.00/0.21	                          A) =>
0.00/0.21	           app_encode_app('type/realax/real',$o,
0.00/0.21	                          app_encode_app('type/realax/real',
0.00/0.21	                                         app_encode_fun('type/realax/real',$o),
0.00/0.21	                                         'const/realax/real_le',A0),
0.00/0.21	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.21	                                         'type/realax/real','const/sets/sup',
0.00/0.21	                                         A)))))))).
0.00/0.21	tff(zf_stmt_0, axiom,
0.00/0.21	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                   app_encode_app('type/realax/real',
0.00/0.21	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.21	                                                                $o),
0.00/0.21	                                                 $o),
0.00/0.21	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.21	                   A) =>
0.00/0.21	    app_encode_app('type/realax/real',$o,
0.00/0.21	                   app_encode_app('type/realax/real',
0.00/0.21	                                  app_encode_fun('type/realax/real',$o),
0.00/0.21	                                  'const/realax/real_le',A1),
0.00/0.21	                   A0)) =>
0.00/0.21	   zip_tseitin1(A1,A0,A))).
0.00/0.21	tff('0', plain,
0.00/0.21	    ![X6 : app_encode_fun('type/realax/real', $o), X7 : 'type/realax/real', 
0.00/0.21	      X8 : 'type/realax/real']:
0.00/0.21	      (zip_tseitin1(X7, X8, X6)
0.00/0.21	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	             'const/sets/IN'('type/realax/real'), X7), X6)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff(zf_stmt_1, axiom,
0.00/0.21	  (zip_tseitin2(A) =>
0.00/0.21	   ((![A0:'type/realax/real']:
0.00/0.21	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                       app_encode_app('type/realax/real',
0.00/0.21	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.21	                                                                    $o),
0.00/0.21	                                                     $o),
0.00/0.21	                                      'const/sets/IN'('type/realax/real'),A0),
0.00/0.21	                       A) =>
0.00/0.21	        app_encode_app('type/realax/real',$o,
0.00/0.21	                       app_encode_app('type/realax/real',
0.00/0.21	                                      app_encode_fun('type/realax/real',$o),
0.00/0.21	                                      'const/realax/real_le',A0),
0.00/0.21	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.21	                                      'type/realax/real','const/sets/sup',A)))) & 
0.00/0.21	    (![A0:'type/realax/real']:
0.00/0.21	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.00/0.21	        app_encode_app('type/realax/real',$o,
0.00/0.21	                       app_encode_app('type/realax/real',
0.00/0.21	                                      app_encode_fun('type/realax/real',$o),
0.00/0.21	                                      'const/realax/real_le',
0.00/0.21	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.21	                                                                    $o),
0.00/0.21	                                                     'type/realax/real',
0.00/0.21	                                                     'const/sets/sup',A)),
0.00/0.21	                       A0)))))).
0.00/0.21	tff('1', plain,
0.00/0.21	    ![X6 : app_encode_fun('type/realax/real', $o), X10 : 'type/realax/real']:
0.00/0.21	      (~ zip_tseitin1(sk_A1(X10, X6), X10, X6)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'type/realax/real', 'const/sets/sup', X6)), X10)
0.00/0.21	       | ~ zip_tseitin2(X6)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	             'const/sets/IN'('type/realax/real'), sk_A1(X1, X0)), X0)
0.00/0.21	       | ~ zip_tseitin2(X0)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'type/realax/real', 'const/sets/sup', X0)), X1)),
0.00/0.21	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	             'type/realax/real', 'const/sets/sup', X0)), X1)
0.00/0.21	       | ~ zip_tseitin2(X0)
0.00/0.21	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	             'const/sets/IN'('type/realax/real'), sk_A1(X1, X0)), X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['2'])).
0.00/0.21	tff(zf_stmt_9, conjecture,
0.00/0.21	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.00/0.21	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.21	       (![A1:'type/realax/real']:
0.00/0.21	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                          app_encode_app('type/realax/real',
0.00/0.21	                                         app_encode_fun(app_encode_fun(
0.00/0.21	                                                        'type/realax/real',$o),
0.00/0.21	                                                        $o),
0.00/0.21	                                         'const/sets/IN'('type/realax/real'),
0.00/0.21	                                         A1),
0.00/0.21	                          A) =>
0.00/0.21	           app_encode_app('type/realax/real',$o,
0.00/0.21	                          app_encode_app('type/realax/real',
0.00/0.21	                                         app_encode_fun('type/realax/real',$o),
0.00/0.21	                                         'const/realax/real_le',A1),
0.00/0.21	                          A0)))) =>
0.00/0.21	      app_encode_app('type/realax/real',$o,
0.00/0.21	                     app_encode_app('type/realax/real',
0.00/0.21	                                    app_encode_fun('type/realax/real',$o),
0.00/0.21	                                    'const/realax/real_le',
0.00/0.21	                                    app_encode_app(app_encode_fun('type/realax/real',
0.00/0.21	                                                                  $o),
0.00/0.21	                                                   'type/realax/real',
0.00/0.21	                                                   'const/sets/sup',A)),
0.00/0.21	                     A0)))).
0.00/0.21	tff(zf_stmt_2, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.00/0.21	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.21	         (![A1:'type/realax/real']:
0.00/0.21	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                            app_encode_app('type/realax/real',
0.00/0.21	                                           app_encode_fun(app_encode_fun(
0.00/0.21	                                                          'type/realax/real',
0.00/0.21	                                                          $o),$o),
0.00/0.21	                                           'const/sets/IN'('type/realax/real'),
0.00/0.21	                                           A1),
0.00/0.21	                            A) =>
0.00/0.21	             app_encode_app('type/realax/real',$o,
0.00/0.21	                            app_encode_app('type/realax/real',
0.00/0.21	                                           app_encode_fun('type/realax/real',
0.00/0.21	                                                          $o),
0.00/0.21	                                           'const/realax/real_le',A1),
0.00/0.21	                            A0)))) =>
0.00/0.21	        app_encode_app('type/realax/real',$o,
0.00/0.21	                       app_encode_app('type/realax/real',
0.00/0.21	                                      app_encode_fun('type/realax/real',$o),
0.00/0.21	                                      'const/realax/real_le',
0.00/0.21	                                      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.21	                                                                    $o),
0.00/0.21	                                                     'type/realax/real',
0.00/0.21	                                                     'const/sets/sup',A)),
0.00/0.21	                       A0))))).
0.00/0.21	tff('4', plain,
0.00/0.21	    ![X13 : 'type/realax/real']:
0.00/0.21	      (app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           X13), sk_A0)
0.00/0.21	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	               'const/sets/IN'('type/realax/real'), X13), sk_A)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.21	tff('5', plain,
0.00/0.21	    ![X0 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ zip_tseitin2(sk_A)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'type/realax/real', 'const/sets/sup', sk_A)), X0)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             sk_A1(X0, sk_A)), sk_A0)),
0.00/0.21	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.21	tff(zf_stmt_3, axiom,
0.00/0.21	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.21	                   app_encode_app('type/realax/real',
0.00/0.21	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.21	                                                                $o),
0.00/0.21	                                                 $o),
0.00/0.21	                                  'const/sets/IN'('type/realax/real'),A1),
0.00/0.21	                   A) =>
0.00/0.21	    app_encode_app('type/realax/real',$o,
0.00/0.21	                   app_encode_app('type/realax/real',
0.00/0.21	                                  app_encode_fun('type/realax/real',$o),
0.00/0.21	                                  'const/realax/real_le',A1),
0.00/0.21	                   A0)) =>
0.00/0.21	   zip_tseitin0(A1,A0,A))).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
0.00/0.21	      X6 : app_encode_fun('type/realax/real', $o)]:
0.00/0.21	      (zip_tseitin0(X4, X5, X6)
0.00/0.21	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	             'const/sets/IN'('type/realax/real'), X4), X6)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.21	tff(zf_stmt_4, type, zip_tseitin2 :
0.00/0.21	    app_encode_fun('type/realax/real',$o) > $o).
0.00/0.21	tff(zf_stmt_5, type, zip_tseitin1 :
0.00/0.21	    ('type/realax/real' * 
0.00/0.21	     'type/realax/real' * 
0.00/0.21	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.21	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.21	    ('type/realax/real' * 
0.00/0.21	     'type/realax/real' * 
0.00/0.21	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.21	tff(zf_stmt_7, axiom,
0.00/0.21	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.21	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.21	       (?[A0:'type/realax/real']:
0.00/0.21	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.00/0.21	      zip_tseitin2(A)))).
0.00/0.21	tff('7', plain,
0.00/0.21	    ![X11 : app_encode_fun('type/realax/real', $o), X12 : 'type/realax/real']:
0.00/0.21	      (zip_tseitin2(X11)
0.00/0.21	       | ~ zip_tseitin0(sk_A11(X12, X11), X12, X11)
0.00/0.21	       | X11 = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	             'const/sets/IN'('type/realax/real'), sk_A11(X1, X0)), X0)
0.00/0.21	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.21	       | zip_tseitin2(X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.21	tff('9', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (zip_tseitin2(X0)
0.00/0.21	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.21	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.21	             'const/sets/IN'('type/realax/real'), sk_A11(X1, X0)), X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['8'])).
0.00/0.21	tff('10', plain,
0.00/0.21	    ![X0 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.21	       | zip_tseitin2(sk_A)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             sk_A11(X0, sk_A)), sk_A0)),
0.00/0.21	    inference('sup-', [status(thm)], ['9', '4'])).
0.00/0.21	tff('11', plain,
0.00/0.21	    ![X0 : 'type/realax/real']:
0.00/0.21	      (app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           sk_A11(X0, sk_A)), sk_A0)
0.00/0.21	       | zip_tseitin2(sk_A)
0.00/0.21	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.21	    inference('simplify', [status(thm)], ['10'])).
0.00/0.21	tff('12', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.21	tff('13', plain,
0.00/0.21	    ![X0 : 'type/realax/real']:
0.00/0.21	      (app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           sk_A11(X0, sk_A)), sk_A0)
0.00/0.21	       | zip_tseitin2(sk_A)),
0.00/0.21	    inference('simplify_reflect-', [status(thm)], ['11', '12'])).
0.00/0.21	tff('14', plain,
0.00/0.21	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
0.00/0.21	      X6 : app_encode_fun('type/realax/real', $o)]:
0.00/0.21	      (zip_tseitin0(X4, X5, X6)
0.00/0.21	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'const/realax/real_le', X4), X5)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.21	tff('15', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'const/realax/real_le', sk_A11(X1, X0)), X1)
0.00/0.21	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.21	       | zip_tseitin2(X0)),
0.00/0.21	    inference('sup-', [status(thm)], ['14', '7'])).
0.00/0.21	tff('16', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (zip_tseitin2(X0)
0.00/0.21	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.21	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'const/realax/real_le', sk_A11(X1, X0)), X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['15'])).
0.00/0.21	tff('17', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | zip_tseitin2(sk_A)
0.00/0.21	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.21	     | zip_tseitin2(sk_A)),
0.00/0.21	    inference('sup-', [status(thm)], ['13', '16'])).
0.00/0.21	tff('18', plain,
0.00/0.21	    (sk_A = 'const/sets/EMPTY'('type/realax/real') | zip_tseitin2(sk_A)),
0.00/0.21	    inference('simplify', [status(thm)], ['17'])).
0.00/0.21	tff('19', plain, zip_tseitin2(sk_A),
0.00/0.21	    inference('simplify_reflect-', [status(thm)], ['18', '12'])).
0.00/0.21	tff('20', plain,
0.00/0.21	    ![X0 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ $true
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'type/realax/real', 'const/sets/sup', sk_A)), X0)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             sk_A1(X0, sk_A)), sk_A0)),
0.00/0.21	    inference('demod', [status(thm)], ['5', '19'])).
0.00/0.21	tff('21', plain,
0.00/0.21	    ![X0 : 'type/realax/real']:
0.00/0.21	      (app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           sk_A1(X0, sk_A)), sk_A0)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'type/realax/real', 'const/sets/sup', sk_A)), X0)),
0.00/0.21	    inference('simplify', [status(thm)], ['20'])).
0.00/0.21	tff('22', plain,
0.00/0.21	    ![X6 : app_encode_fun('type/realax/real', $o), X7 : 'type/realax/real', 
0.00/0.21	      X8 : 'type/realax/real']:
0.00/0.21	      (zip_tseitin1(X7, X8, X6)
0.00/0.21	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'const/realax/real_le', X7), X8)),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('23', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (~ $true
0.00/0.21	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'const/realax/real_le', sk_A1(X1, X0)), X1)
0.00/0.21	       | ~ zip_tseitin2(X0)
0.00/0.21	       | app_encode_app('type/realax/real', $o, 
0.00/0.21	           app_encode_app('type/realax/real', 
0.00/0.21	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'type/realax/real', 'const/sets/sup', X0)), X1)),
0.00/0.21	    inference('sup-', [status(thm)], ['22', '1'])).
0.00/0.21	tff('24', plain,
0.00/0.21	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real']:
0.00/0.21	      (app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	             'type/realax/real', 'const/sets/sup', X0)), X1)
0.00/0.21	       | ~ zip_tseitin2(X0)
0.00/0.21	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	             app_encode_app('type/realax/real', 
0.00/0.21	               app_encode_fun('type/realax/real', $o), 
0.00/0.21	               'const/realax/real_le', sk_A1(X1, X0)), X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['23'])).
0.00/0.21	tff('25', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.00/0.21	     | ~ zip_tseitin2(sk_A)
0.00/0.21	     | app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.21	    inference('sup-', [status(thm)], ['21', '24'])).
0.00/0.21	tff('26', plain,
0.00/0.21	    (~ $true
0.00/0.21	     | app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.00/0.21	     | ~ $true
0.00/0.21	     | app_encode_app('type/realax/real', $o, 
0.00/0.21	         app_encode_app('type/realax/real', 
0.00/0.21	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.21	    inference('demod', [status(thm)], ['25', '19'])).
0.00/0.21	tff('27', plain,
0.00/0.21	    app_encode_app('type/realax/real', $o, 
0.00/0.21	      app_encode_app('type/realax/real', 
0.00/0.21	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	          'type/realax/real', 'const/sets/sup', sk_A)), sk_A0),
0.00/0.21	    inference('simplify', [status(thm)], ['26'])).
0.00/0.21	tff('28', plain,
0.00/0.21	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.21	        app_encode_app('type/realax/real', 
0.00/0.21	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.21	          app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.21	            'type/realax/real', 'const/sets/sup', sk_A)), sk_A0),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.21	tff('29', plain, ~ $true, inference('sup-', [status(thm)], ['27', '28'])).
0.00/0.21	tff('30', plain, $false, inference('simplify', [status(thm)], ['29'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.21	EOF
