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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n030.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:41:24 CST 2018
0.46/0.69	% done 491 iterations in 0.484s
0.46/0.69	% SZS status Theorem for 'stdin'
0.46/0.69	% SZS output start Refutation
0.46/0.69	tff(zf_stmt_9, axiom,
0.46/0.69	  (![A:$tType,A0:app_encode_fun(A,$o)]:
0.46/0.69	     ((?[A1:A]:
0.46/0.69	         app_encode_app(app_encode_fun(A,$o),$o,
0.46/0.69	                        app_encode_app(A,
0.46/0.69	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.46/0.69	                                       'const/sets/IN'(A),A1),
0.46/0.69	                        A0)) <=>
0.46/0.69	      (A0 != 'const/sets/EMPTY'(A))))).
0.46/0.69	tff('0', plain,
0.46/0.69	    ![X7 : $tType, X10 : app_encode_fun(X7, $o)]:
0.46/0.69	      (app_encode_app(app_encode_fun(X7, $o), $o, 
0.46/0.69	         app_encode_app(X7, app_encode_fun(app_encode_fun(X7, $o), $o), 
0.46/0.69	           'const/sets/IN'(X7), sk_A1(X7, X10)), X10)
0.46/0.69	       | X10 = 'const/sets/EMPTY'(X7)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.46/0.69	tff(zf_stmt_10, axiom,
0.46/0.69	  (![A:app_encode_fun('type/realax/real',$o)]:
0.46/0.69	     (((?[A0:'type/realax/real']:
0.46/0.69	          (![A1:'type/realax/real']:
0.46/0.69	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                             app_encode_app('type/realax/real',
0.46/0.69	                                            app_encode_fun(app_encode_fun(
0.46/0.69	                                                           'type/realax/real',
0.46/0.69	                                                           $o),$o),
0.46/0.69	                                            'const/sets/IN'('type/realax/real'),
0.46/0.69	                                            A1),
0.46/0.69	                             A) =>
0.46/0.69	              app_encode_app('type/realax/real',$o,
0.46/0.69	                             app_encode_app('type/realax/real',
0.46/0.69	                                            app_encode_fun('type/realax/real',
0.46/0.69	                                                           $o),
0.46/0.69	                                            'const/realax/real_le',A1),
0.46/0.69	                             A0)))) & 
0.46/0.69	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.46/0.69	      ((![A0:'type/realax/real']:
0.46/0.69	          ((![A1:'type/realax/real']:
0.46/0.69	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                              app_encode_app('type/realax/real',
0.46/0.69	                                             app_encode_fun(app_encode_fun(
0.46/0.69	                                                            'type/realax/real',
0.46/0.69	                                                            $o),$o),
0.46/0.69	                                             'const/sets/IN'('type/realax/real'),
0.46/0.69	                                             A1),
0.46/0.69	                              A) =>
0.46/0.69	               app_encode_app('type/realax/real',$o,
0.46/0.69	                              app_encode_app('type/realax/real',
0.46/0.69	                                             app_encode_fun('type/realax/real',
0.46/0.69	                                                            $o),
0.46/0.69	                                             'const/realax/real_le',A1),
0.46/0.69	                              A0))) =>
0.46/0.69	           app_encode_app('type/realax/real',$o,
0.46/0.69	                          app_encode_app('type/realax/real',
0.46/0.69	                                         app_encode_fun('type/realax/real',$o),
0.46/0.69	                                         'const/realax/real_le',
0.46/0.69	                                         app_encode_app(app_encode_fun(
0.46/0.69	                                                        'type/realax/real',$o),
0.46/0.69	                                                        'type/realax/real',
0.46/0.69	                                                        'const/sets/sup',A)),
0.46/0.69	                          A0))) & 
0.46/0.69	       (![A0:'type/realax/real']:
0.46/0.69	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                          app_encode_app('type/realax/real',
0.46/0.69	                                         app_encode_fun(app_encode_fun(
0.46/0.69	                                                        'type/realax/real',$o),
0.46/0.69	                                                        $o),
0.46/0.69	                                         'const/sets/IN'('type/realax/real'),
0.46/0.69	                                         A0),
0.46/0.69	                          A) =>
0.46/0.69	           app_encode_app('type/realax/real',$o,
0.46/0.69	                          app_encode_app('type/realax/real',
0.46/0.69	                                         app_encode_fun('type/realax/real',$o),
0.46/0.69	                                         'const/realax/real_le',A0),
0.46/0.69	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.46/0.69	                                         'type/realax/real','const/sets/sup',
0.46/0.69	                                         A)))))))).
0.46/0.69	tff(zf_stmt_0, axiom,
0.46/0.69	  (zip_tseitin2(A) =>
0.46/0.69	   ((![A0:'type/realax/real']:
0.46/0.69	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                       app_encode_app('type/realax/real',
0.46/0.69	                                      app_encode_fun(app_encode_fun('type/realax/real',
0.46/0.69	                                                                    $o),
0.46/0.69	                                                     $o),
0.46/0.69	                                      'const/sets/IN'('type/realax/real'),A0),
0.46/0.69	                       A) =>
0.46/0.69	        app_encode_app('type/realax/real',$o,
0.46/0.69	                       app_encode_app('type/realax/real',
0.46/0.69	                                      app_encode_fun('type/realax/real',$o),
0.46/0.69	                                      'const/realax/real_le',A0),
0.46/0.69	                       app_encode_app(app_encode_fun('type/realax/real',$o),
0.46/0.69	                                      'type/realax/real','const/sets/sup',A)))) & 
0.46/0.69	    (![A0:'type/realax/real']:
0.46/0.69	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
0.46/0.69	        app_encode_app('type/realax/real',$o,
0.46/0.69	                       app_encode_app('type/realax/real',
0.46/0.69	                                      app_encode_fun('type/realax/real',$o),
0.46/0.69	                                      'const/realax/real_le',
0.46/0.69	                                      app_encode_app(app_encode_fun('type/realax/real',
0.46/0.69	                                                                    $o),
0.46/0.69	                                                     'type/realax/real',
0.46/0.69	                                                     'const/sets/sup',A)),
0.46/0.69	                       A0)))))).
0.46/0.69	tff('1', plain,
0.46/0.69	    ![X13 : app_encode_fun('type/realax/real', $o), X16 : 'type/realax/real']:
0.46/0.69	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	             'const/sets/IN'('type/realax/real'), X16), X13)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             X16), 
0.46/0.69	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	             'type/realax/real', 'const/sets/sup', X13))
0.46/0.69	       | ~ zip_tseitin2(X13)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.46/0.69	tff(zf_stmt_11, conjecture,
0.46/0.69	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.46/0.69	     A1:'type/realax/real']:
0.46/0.69	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.46/0.69	       (![A2:'type/realax/real']:
0.46/0.69	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                          app_encode_app('type/realax/real',
0.46/0.69	                                         app_encode_fun(app_encode_fun(
0.46/0.69	                                                        'type/realax/real',$o),
0.46/0.69	                                                        $o),
0.46/0.69	                                         'const/sets/IN'('type/realax/real'),
0.46/0.69	                                         A2),
0.46/0.69	                          A) =>
0.46/0.69	           (app_encode_app('type/realax/real',$o,
0.46/0.69	                           app_encode_app('type/realax/real',
0.46/0.69	                                          app_encode_fun('type/realax/real',
0.46/0.69	                                                         $o),
0.46/0.69	                                          'const/realax/real_le',A0),
0.46/0.69	                           A2) & 
0.46/0.69	            app_encode_app('type/realax/real',$o,
0.46/0.69	                           app_encode_app('type/realax/real',
0.46/0.69	                                          app_encode_fun('type/realax/real',
0.46/0.69	                                                         $o),
0.46/0.69	                                          'const/realax/real_le',A2),
0.46/0.69	                           A1))))) =>
0.46/0.69	      (app_encode_app('type/realax/real',$o,
0.46/0.69	                      app_encode_app('type/realax/real',
0.46/0.69	                                     app_encode_fun('type/realax/real',$o),
0.46/0.69	                                     'const/realax/real_le',A0),
0.46/0.69	                      app_encode_app(app_encode_fun('type/realax/real',$o),
0.46/0.69	                                     'type/realax/real','const/sets/sup',A)) & 
0.46/0.69	       app_encode_app('type/realax/real',$o,
0.46/0.69	                      app_encode_app('type/realax/real',
0.46/0.69	                                     app_encode_fun('type/realax/real',$o),
0.46/0.69	                                     'const/realax/real_le',
0.46/0.69	                                     app_encode_app(app_encode_fun('type/realax/real',
0.46/0.69	                                                                   $o),
0.46/0.69	                                                    'type/realax/real',
0.46/0.69	                                                    'const/sets/sup',A)),
0.46/0.69	                      A1))))).
0.46/0.69	tff(zf_stmt_1, negated_conjecture,
0.46/0.69	  (~
0.46/0.69	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.46/0.69	       A1:'type/realax/real']:
0.46/0.69	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.46/0.69	         (![A2:'type/realax/real']:
0.46/0.69	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                            app_encode_app('type/realax/real',
0.46/0.69	                                           app_encode_fun(app_encode_fun(
0.46/0.69	                                                          'type/realax/real',
0.46/0.69	                                                          $o),$o),
0.46/0.69	                                           'const/sets/IN'('type/realax/real'),
0.46/0.69	                                           A2),
0.46/0.69	                            A) =>
0.46/0.69	             (app_encode_app('type/realax/real',$o,
0.46/0.69	                             app_encode_app('type/realax/real',
0.46/0.69	                                            app_encode_fun('type/realax/real',
0.46/0.69	                                                           $o),
0.46/0.69	                                            'const/realax/real_le',A0),
0.46/0.69	                             A2) & 
0.46/0.69	              app_encode_app('type/realax/real',$o,
0.46/0.69	                             app_encode_app('type/realax/real',
0.46/0.69	                                            app_encode_fun('type/realax/real',
0.46/0.69	                                                           $o),
0.46/0.69	                                            'const/realax/real_le',A2),
0.46/0.69	                             A1))))) =>
0.46/0.69	        (app_encode_app('type/realax/real',$o,
0.46/0.69	                        app_encode_app('type/realax/real',
0.46/0.69	                                       app_encode_fun('type/realax/real',$o),
0.46/0.69	                                       'const/realax/real_le',A0),
0.46/0.69	                        app_encode_app(app_encode_fun('type/realax/real',$o),
0.46/0.69	                                       'type/realax/real','const/sets/sup',A)) & 
0.46/0.69	         app_encode_app('type/realax/real',$o,
0.46/0.69	                        app_encode_app('type/realax/real',
0.46/0.69	                                       app_encode_fun('type/realax/real',$o),
0.46/0.69	                                       'const/realax/real_le',
0.46/0.69	                                       app_encode_app(app_encode_fun(
0.46/0.69	                                                      'type/realax/real',$o),
0.46/0.69	                                                      'type/realax/real',
0.46/0.69	                                                      'const/sets/sup',A)),
0.46/0.69	                        A1)))))).
0.46/0.69	tff('2', plain,
0.46/0.69	    ![X20 : 'type/realax/real']:
0.46/0.69	      (app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), X20)
0.46/0.69	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	               'const/sets/IN'('type/realax/real'), X20), sk_A)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.46/0.69	tff('3', plain,
0.46/0.69	    (~ $true
0.46/0.69	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.46/0.69	     | app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), sk_A1('type/realax/real', sk_A))),
0.46/0.69	    inference('sup-', [status(thm)], ['0', '2'])).
0.46/0.69	tff('4', plain,
0.46/0.69	    (app_encode_app('type/realax/real', $o, 
0.46/0.69	       app_encode_app('type/realax/real', 
0.46/0.69	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	         sk_A0), sk_A1('type/realax/real', sk_A))
0.46/0.69	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.46/0.69	    inference('simplify', [status(thm)], ['3'])).
0.46/0.69	tff('5', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.46/0.69	tff('6', plain,
0.46/0.69	    app_encode_app('type/realax/real', $o, 
0.46/0.69	      app_encode_app('type/realax/real', 
0.46/0.69	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	        sk_A0), sk_A1('type/realax/real', sk_A)),
0.46/0.69	    inference('simplify_reflect-', [status(thm)], ['4', '5'])).
0.46/0.69	tff(zf_stmt_8, axiom,
0.46/0.69	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.46/0.69	     ((app_encode_app('type/realax/real',$o,
0.46/0.69	                      app_encode_app('type/realax/real',
0.46/0.69	                                     app_encode_fun('type/realax/real',$o),
0.46/0.69	                                     'const/realax/real_le',A),
0.46/0.69	                      A0) & 
0.46/0.69	       app_encode_app('type/realax/real',$o,
0.46/0.69	                      app_encode_app('type/realax/real',
0.46/0.69	                                     app_encode_fun('type/realax/real',$o),
0.46/0.69	                                     'const/realax/real_le',A0),
0.46/0.69	                      A1)) =>
0.46/0.69	      app_encode_app('type/realax/real',$o,
0.46/0.69	                     app_encode_app('type/realax/real',
0.46/0.69	                                    app_encode_fun('type/realax/real',$o),
0.46/0.69	                                    'const/realax/real_le',A),
0.46/0.69	                     A1)))).
0.46/0.69	tff('7', plain,
0.46/0.69	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
0.46/0.69	      X6 : 'type/realax/real']:
0.46/0.69	      (~ app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             X4), X5)
0.46/0.69	       | ~ app_encode_app('type/realax/real', $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun('type/realax/real', $o), 
0.46/0.69	               'const/realax/real_le', X5), X6)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             X4), X6)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.46/0.69	tff('8', plain,
0.46/0.69	    ![X0 : 'type/realax/real']:
0.46/0.69	      (~ $true
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             sk_A0), X0)
0.46/0.69	       | ~ app_encode_app('type/realax/real', $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun('type/realax/real', $o), 
0.46/0.69	               'const/realax/real_le', sk_A1('type/realax/real', sk_A)), X0)),
0.46/0.69	    inference('sup-', [status(thm)], ['6', '7'])).
0.46/0.69	tff('9', plain,
0.46/0.69	    ![X0 : 'type/realax/real']:
0.46/0.69	      (~ app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             sk_A1('type/realax/real', sk_A)), X0)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             sk_A0), X0)),
0.46/0.69	    inference('simplify', [status(thm)], ['8'])).
0.46/0.69	tff('10', plain,
0.46/0.69	    ![X0 : app_encode_fun('type/realax/real', $o)]:
0.46/0.69	      (~ $true
0.46/0.69	       | ~ zip_tseitin2(X0)
0.46/0.69	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	               'const/sets/IN'('type/realax/real'), 
0.46/0.69	               sk_A1('type/realax/real', sk_A)), X0)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             sk_A0), 
0.46/0.69	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	             'type/realax/real', 'const/sets/sup', X0))),
0.46/0.69	    inference('sup-', [status(thm)], ['1', '9'])).
0.46/0.69	tff('11', plain,
0.46/0.69	    ![X0 : app_encode_fun('type/realax/real', $o)]:
0.46/0.69	      (app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), 
0.46/0.69	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	           'type/realax/real', 'const/sets/sup', X0))
0.46/0.69	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	               'const/sets/IN'('type/realax/real'), 
0.46/0.69	               sk_A1('type/realax/real', sk_A)), X0)
0.46/0.69	       | ~ zip_tseitin2(X0)),
0.46/0.69	    inference('simplify', [status(thm)], ['10'])).
0.46/0.69	tff('12', plain,
0.46/0.69	    (~ $true
0.46/0.69	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.46/0.69	     | ~ zip_tseitin2(sk_A)
0.46/0.69	     | app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), 
0.46/0.69	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	           'type/realax/real', 'const/sets/sup', sk_A))),
0.46/0.69	    inference('sup-', [status(thm)], ['0', '11'])).
0.46/0.69	tff(zf_stmt_2, axiom,
0.46/0.69	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                   app_encode_app('type/realax/real',
0.46/0.69	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.46/0.69	                                                                $o),
0.46/0.69	                                                 $o),
0.46/0.69	                                  'const/sets/IN'('type/realax/real'),A1),
0.46/0.69	                   A) =>
0.46/0.69	    app_encode_app('type/realax/real',$o,
0.46/0.69	                   app_encode_app('type/realax/real',
0.46/0.69	                                  app_encode_fun('type/realax/real',$o),
0.46/0.69	                                  'const/realax/real_le',A1),
0.46/0.69	                   A0)) =>
0.46/0.69	   zip_tseitin0(A1,A0,A))).
0.46/0.69	tff('13', plain,
0.46/0.69	    ![X11 : 'type/realax/real', X12 : 'type/realax/real', 
0.46/0.69	      X13 : app_encode_fun('type/realax/real', $o)]:
0.46/0.69	      (zip_tseitin0(X11, X12, X13)
0.46/0.69	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	             'const/sets/IN'('type/realax/real'), X11), X13)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.46/0.69	tff('14', plain,
0.46/0.69	    ![X20 : 'type/realax/real']:
0.46/0.69	      (app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           X20), sk_A13)
0.46/0.69	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	               'const/sets/IN'('type/realax/real'), X20), sk_A)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.46/0.69	tff('15', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.46/0.69	      (~ $true
0.46/0.69	       | zip_tseitin0(X0, X1, sk_A)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             X0), sk_A13)),
0.46/0.69	    inference('sup-', [status(thm)], ['13', '14'])).
0.46/0.69	tff('16', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.46/0.69	      (app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           X0), sk_A13)
0.46/0.69	       | zip_tseitin0(X0, X1, sk_A)),
0.46/0.69	    inference('simplify', [status(thm)], ['15'])).
0.46/0.69	tff('17', plain,
0.46/0.69	    ![X11 : 'type/realax/real', X12 : 'type/realax/real', 
0.46/0.69	      X13 : app_encode_fun('type/realax/real', $o)]:
0.46/0.69	      (zip_tseitin0(X11, X12, X13)
0.46/0.69	       | ~ app_encode_app('type/realax/real', $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun('type/realax/real', $o), 
0.46/0.69	               'const/realax/real_le', X11), X12)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.46/0.69	tff('18', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.46/0.69	      X2 : 'type/realax/real']:
0.46/0.69	      (~ $true | zip_tseitin0(X0, X2, sk_A) | zip_tseitin0(X0, sk_A13, X1)),
0.46/0.69	    inference('sup-', [status(thm)], ['16', '17'])).
0.46/0.69	tff('19', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.46/0.69	      X2 : 'type/realax/real']:
0.46/0.69	      (zip_tseitin0(X0, sk_A13, X1) | zip_tseitin0(X0, X2, sk_A)),
0.46/0.69	    inference('simplify', [status(thm)], ['18'])).
0.46/0.69	tff('20', plain,
0.46/0.69	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin0(X0, sk_A13, sk_A)),
0.46/0.69	    inference('eq_fact', [status(thm)], ['19'])).
0.46/0.69	tff('21', plain, ![X0 : 'type/realax/real']: zip_tseitin0(X0, sk_A13, sk_A),
0.46/0.69	    inference('simplify', [status(thm)], ['20'])).
0.46/0.69	tff(zf_stmt_3, type, zip_tseitin2 :
0.46/0.69	    app_encode_fun('type/realax/real',$o) > $o).
0.46/0.69	tff(zf_stmt_4, type, zip_tseitin1 :
0.46/0.69	    ('type/realax/real' * 
0.46/0.69	     'type/realax/real' * 
0.46/0.69	     app_encode_fun('type/realax/real',$o)) > $o).
0.46/0.69	tff(zf_stmt_5, axiom,
0.46/0.69	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.46/0.69	                   app_encode_app('type/realax/real',
0.46/0.69	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.46/0.69	                                                                $o),
0.46/0.69	                                                 $o),
0.46/0.69	                                  'const/sets/IN'('type/realax/real'),A1),
0.46/0.69	                   A) =>
0.46/0.69	    app_encode_app('type/realax/real',$o,
0.46/0.69	                   app_encode_app('type/realax/real',
0.46/0.69	                                  app_encode_fun('type/realax/real',$o),
0.46/0.69	                                  'const/realax/real_le',A1),
0.46/0.69	                   A0)) =>
0.46/0.69	   zip_tseitin1(A1,A0,A))).
0.46/0.69	tff(zf_stmt_6, type, zip_tseitin0 :
0.46/0.69	    ('type/realax/real' * 
0.46/0.69	     'type/realax/real' * 
0.46/0.69	     app_encode_fun('type/realax/real',$o)) > $o).
0.46/0.69	tff(zf_stmt_7, axiom,
0.46/0.69	  (![A:app_encode_fun('type/realax/real',$o)]:
0.46/0.69	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.46/0.69	       (?[A0:'type/realax/real']:
0.46/0.69	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
0.46/0.69	      zip_tseitin2(A)))).
0.46/0.69	tff('22', plain,
0.46/0.69	    ![X18 : app_encode_fun('type/realax/real', $o), X19 : 'type/realax/real']:
0.46/0.69	      (zip_tseitin2(X18)
0.46/0.69	       | ~ zip_tseitin0(sk_A12(X19, X18), X19, X18)
0.46/0.69	       | X18 = 'const/sets/EMPTY'('type/realax/real')),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.46/0.69	tff('23', plain,
0.46/0.69	    (~ $true
0.46/0.69	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.46/0.69	     | zip_tseitin2(sk_A)),
0.46/0.69	    inference('sup-', [status(thm)], ['21', '22'])).
0.46/0.69	tff('24', plain,
0.46/0.69	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.46/0.69	    inference('simplify', [status(thm)], ['23'])).
0.46/0.69	tff('25', plain, zip_tseitin2(sk_A),
0.46/0.69	    inference('simplify_reflect-', [status(thm)], ['24', '5'])).
0.46/0.69	tff('26', plain,
0.46/0.69	    (~ $true
0.46/0.69	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.46/0.69	     | ~ $true
0.46/0.69	     | app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), 
0.46/0.69	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	           'type/realax/real', 'const/sets/sup', sk_A))),
0.46/0.69	    inference('demod', [status(thm)], ['12', '25'])).
0.46/0.69	tff('27', plain,
0.46/0.69	    (app_encode_app('type/realax/real', $o, 
0.46/0.69	       app_encode_app('type/realax/real', 
0.46/0.69	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	         sk_A0), 
0.46/0.69	       app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	         'type/realax/real', 'const/sets/sup', sk_A))
0.46/0.69	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.46/0.69	    inference('simplify', [status(thm)], ['26'])).
0.46/0.69	tff('28', plain,
0.46/0.69	    app_encode_app('type/realax/real', $o, 
0.46/0.69	      app_encode_app('type/realax/real', 
0.46/0.69	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	        sk_A0), 
0.46/0.69	      app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	        'type/realax/real', 'const/sets/sup', sk_A)),
0.46/0.69	    inference('simplify_reflect-', [status(thm)], ['27', '5'])).
0.46/0.69	tff('29', plain,
0.46/0.69	    (~ app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), 
0.46/0.69	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	           'type/realax/real', 'const/sets/sup', sk_A))
0.46/0.69	     | ~ app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A13)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.46/0.69	tff('30', plain,
0.46/0.69	    ![X13 : app_encode_fun('type/realax/real', $o), 
0.46/0.69	      X14 : 'type/realax/real', X15 : 'type/realax/real']:
0.46/0.69	      (zip_tseitin1(X14, X15, X13)
0.46/0.69	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.46/0.69	             'const/sets/IN'('type/realax/real'), X14), X13)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.46/0.69	tff('31', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.46/0.69	      (~ $true
0.46/0.69	       | zip_tseitin1(X0, X1, sk_A)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             X0), sk_A13)),
0.46/0.69	    inference('sup-', [status(thm)], ['30', '14'])).
0.46/0.69	tff('32', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
0.46/0.69	      (app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           X0), sk_A13)
0.46/0.69	       | zip_tseitin1(X0, X1, sk_A)),
0.46/0.69	    inference('simplify', [status(thm)], ['31'])).
0.46/0.69	tff('33', plain,
0.46/0.69	    ![X13 : app_encode_fun('type/realax/real', $o), 
0.46/0.69	      X14 : 'type/realax/real', X15 : 'type/realax/real']:
0.46/0.69	      (zip_tseitin1(X14, X15, X13)
0.46/0.69	       | ~ app_encode_app('type/realax/real', $o, 
0.46/0.69	             app_encode_app('type/realax/real', 
0.46/0.69	               app_encode_fun('type/realax/real', $o), 
0.46/0.69	               'const/realax/real_le', X14), X15)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.46/0.69	tff('34', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.46/0.69	      X2 : 'type/realax/real']:
0.46/0.69	      (~ $true | zip_tseitin1(X0, X2, sk_A) | zip_tseitin1(X0, sk_A13, X1)),
0.46/0.69	    inference('sup-', [status(thm)], ['32', '33'])).
0.46/0.69	tff('35', plain,
0.46/0.69	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.46/0.69	      X2 : 'type/realax/real']:
0.46/0.69	      (zip_tseitin1(X0, sk_A13, X1) | zip_tseitin1(X0, X2, sk_A)),
0.46/0.69	    inference('simplify', [status(thm)], ['34'])).
0.46/0.69	tff('36', plain,
0.46/0.69	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin1(X0, sk_A13, sk_A)),
0.46/0.69	    inference('eq_fact', [status(thm)], ['35'])).
0.46/0.69	tff('37', plain, ![X0 : 'type/realax/real']: zip_tseitin1(X0, sk_A13, sk_A),
0.46/0.69	    inference('simplify', [status(thm)], ['36'])).
0.46/0.69	tff('38', plain,
0.46/0.69	    ![X13 : app_encode_fun('type/realax/real', $o), X17 : 'type/realax/real']:
0.46/0.69	      (~ zip_tseitin1(sk_A11(X17, X13), X17, X13)
0.46/0.69	       | app_encode_app('type/realax/real', $o, 
0.46/0.69	           app_encode_app('type/realax/real', 
0.46/0.69	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	               'type/realax/real', 'const/sets/sup', X13)), X17)
0.46/0.69	       | ~ zip_tseitin2(X13)),
0.46/0.69	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.46/0.69	tff('39', plain,
0.46/0.69	    (~ $true
0.46/0.69	     | ~ zip_tseitin2(sk_A)
0.46/0.69	     | app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A13)),
0.46/0.69	    inference('sup-', [status(thm)], ['37', '38'])).
0.46/0.69	tff('40', plain,
0.46/0.69	    (~ $true
0.46/0.69	     | ~ $true
0.46/0.69	     | app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A13)),
0.46/0.69	    inference('demod', [status(thm)], ['39', '25'])).
0.46/0.69	tff('41', plain,
0.46/0.69	    app_encode_app('type/realax/real', $o, 
0.46/0.69	      app_encode_app('type/realax/real', 
0.46/0.69	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	          'type/realax/real', 'const/sets/sup', sk_A)), sk_A13),
0.46/0.69	    inference('simplify', [status(thm)], ['40'])).
0.46/0.69	tff('42', plain,
0.46/0.69	    (~ app_encode_app('type/realax/real', $o, 
0.46/0.69	         app_encode_app('type/realax/real', 
0.46/0.69	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	           sk_A0), 
0.46/0.69	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	           'type/realax/real', 'const/sets/sup', sk_A))
0.46/0.69	     | ~ $true),
0.46/0.69	    inference('demod', [status(thm)], ['29', '41'])).
0.46/0.69	tff('43', plain,
0.46/0.69	    ~ app_encode_app('type/realax/real', $o, 
0.46/0.69	        app_encode_app('type/realax/real', 
0.46/0.69	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.46/0.69	          sk_A0), 
0.46/0.69	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.46/0.69	          'type/realax/real', 'const/sets/sup', sk_A)),
0.46/0.69	    inference('simplify', [status(thm)], ['42'])).
0.46/0.69	tff('44', plain, ~ $true, inference('sup-', [status(thm)], ['28', '43'])).
0.46/0.69	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
0.46/0.69	
0.46/0.69	% SZS output end Refutation
0.46/0.69	EOF
