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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n101.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:44:24 CST 2018
2.93/3.10	% done 2322 iterations in 2.905s
2.93/3.10	% SZS status Theorem for 'stdin'
2.93/3.10	% SZS output start Refutation
2.93/3.11	tff(zf_stmt_9, axiom,
2.93/3.11	  (![A:$tType,A0:app_encode_fun(A,$o)]:
2.93/3.11	     ((?[A1:A]:
2.93/3.11	         app_encode_app(app_encode_fun(A,$o),$o,
2.93/3.11	                        app_encode_app(A,
2.93/3.11	                                       app_encode_fun(app_encode_fun(A,$o),$o),
2.93/3.11	                                       'const/sets/IN'(A),A1),
2.93/3.11	                        A0)) <=>
2.93/3.11	      (A0 != 'const/sets/EMPTY'(A))))).
2.93/3.11	tff('0', plain,
2.93/3.11	    ![X7 : $tType, X10 : app_encode_fun(X7, $o)]:
2.93/3.11	      (app_encode_app(app_encode_fun(X7, $o), $o, 
2.93/3.11	         app_encode_app(X7, app_encode_fun(app_encode_fun(X7, $o), $o), 
2.93/3.11	           'const/sets/IN'(X7), sk_A1(X7, X10)), X10)
2.93/3.11	       | X10 = 'const/sets/EMPTY'(X7)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_9])).
2.93/3.11	tff(zf_stmt_11, conjecture,
2.93/3.11	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
2.93/3.11	     A1:'type/realax/real']:
2.93/3.11	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
2.93/3.11	       (![A2:'type/realax/real']:
2.93/3.11	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                          app_encode_app('type/realax/real',
2.93/3.11	                                         app_encode_fun(app_encode_fun(
2.93/3.11	                                                        'type/realax/real',$o),
2.93/3.11	                                                        $o),
2.93/3.11	                                         'const/sets/IN'('type/realax/real'),
2.93/3.11	                                         A2),
2.93/3.11	                          A) =>
2.93/3.11	           (app_encode_app('type/realax/real',$o,
2.93/3.11	                           app_encode_app('type/realax/real',
2.93/3.11	                                          app_encode_fun('type/realax/real',
2.93/3.11	                                                         $o),
2.93/3.11	                                          'const/realax/real_le',A0),
2.93/3.11	                           A2) & 
2.93/3.11	            app_encode_app('type/realax/real',$o,
2.93/3.11	                           app_encode_app('type/realax/real',
2.93/3.11	                                          app_encode_fun('type/realax/real',
2.93/3.11	                                                         $o),
2.93/3.11	                                          'const/realax/real_le',A2),
2.93/3.11	                           A1))))) =>
2.93/3.11	      (app_encode_app('type/realax/real',$o,
2.93/3.11	                      app_encode_app('type/realax/real',
2.93/3.11	                                     app_encode_fun('type/realax/real',$o),
2.93/3.11	                                     'const/realax/real_le',A0),
2.93/3.11	                      app_encode_app(app_encode_fun('type/realax/real',$o),
2.93/3.11	                                     'type/realax/real','const/sets/inf',A)) & 
2.93/3.11	       app_encode_app('type/realax/real',$o,
2.93/3.11	                      app_encode_app('type/realax/real',
2.93/3.11	                                     app_encode_fun('type/realax/real',$o),
2.93/3.11	                                     'const/realax/real_le',
2.93/3.11	                                     app_encode_app(app_encode_fun('type/realax/real',
2.93/3.11	                                                                   $o),
2.93/3.11	                                                    'type/realax/real',
2.93/3.11	                                                    'const/sets/inf',A)),
2.93/3.11	                      A1))))).
2.93/3.11	tff(zf_stmt_0, negated_conjecture,
2.93/3.11	  (~
2.93/3.11	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
2.93/3.11	       A1:'type/realax/real']:
2.93/3.11	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
2.93/3.11	         (![A2:'type/realax/real']:
2.93/3.11	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                            app_encode_app('type/realax/real',
2.93/3.11	                                           app_encode_fun(app_encode_fun(
2.93/3.11	                                                          'type/realax/real',
2.93/3.11	                                                          $o),$o),
2.93/3.11	                                           'const/sets/IN'('type/realax/real'),
2.93/3.11	                                           A2),
2.93/3.11	                            A) =>
2.93/3.11	             (app_encode_app('type/realax/real',$o,
2.93/3.11	                             app_encode_app('type/realax/real',
2.93/3.11	                                            app_encode_fun('type/realax/real',
2.93/3.11	                                                           $o),
2.93/3.11	                                            'const/realax/real_le',A0),
2.93/3.11	                             A2) & 
2.93/3.11	              app_encode_app('type/realax/real',$o,
2.93/3.11	                             app_encode_app('type/realax/real',
2.93/3.11	                                            app_encode_fun('type/realax/real',
2.93/3.11	                                                           $o),
2.93/3.11	                                            'const/realax/real_le',A2),
2.93/3.11	                             A1))))) =>
2.93/3.11	        (app_encode_app('type/realax/real',$o,
2.93/3.11	                        app_encode_app('type/realax/real',
2.93/3.11	                                       app_encode_fun('type/realax/real',$o),
2.93/3.11	                                       'const/realax/real_le',A0),
2.93/3.11	                        app_encode_app(app_encode_fun('type/realax/real',$o),
2.93/3.11	                                       'type/realax/real','const/sets/inf',A)) & 
2.93/3.11	         app_encode_app('type/realax/real',$o,
2.93/3.11	                        app_encode_app('type/realax/real',
2.93/3.11	                                       app_encode_fun('type/realax/real',$o),
2.93/3.11	                                       'const/realax/real_le',
2.93/3.11	                                       app_encode_app(app_encode_fun(
2.93/3.11	                                                      'type/realax/real',$o),
2.93/3.11	                                                      'type/realax/real',
2.93/3.11	                                                      'const/sets/inf',A)),
2.93/3.11	                        A1)))))).
2.93/3.11	tff('1', plain,
2.93/3.11	    ![X20 : 'type/realax/real']:
2.93/3.11	      (app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           X20), sk_A13)
2.93/3.11	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	               'const/sets/IN'('type/realax/real'), X20), sk_A)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.93/3.11	tff('2', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
2.93/3.11	     | app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A1('type/realax/real', sk_A)), sk_A13)),
2.93/3.11	    inference('sup-', [status(thm)], ['0', '1'])).
2.93/3.11	tff('3', plain,
2.93/3.11	    (app_encode_app('type/realax/real', $o, 
2.93/3.11	       app_encode_app('type/realax/real', 
2.93/3.11	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	         sk_A1('type/realax/real', sk_A)), sk_A13)
2.93/3.11	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
2.93/3.11	    inference('simplify', [status(thm)], ['2'])).
2.93/3.11	tff('4', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.93/3.11	tff('5', plain,
2.93/3.11	    app_encode_app('type/realax/real', $o, 
2.93/3.11	      app_encode_app('type/realax/real', 
2.93/3.11	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	        sk_A1('type/realax/real', sk_A)), sk_A13),
2.93/3.11	    inference('simplify_reflect-', [status(thm)], ['3', '4'])).
2.93/3.11	tff(zf_stmt_10, axiom,
2.93/3.11	  (![A:app_encode_fun('type/realax/real',$o)]:
2.93/3.11	     (((?[A0:'type/realax/real']:
2.93/3.11	          (![A1:'type/realax/real']:
2.93/3.11	             (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                             app_encode_app('type/realax/real',
2.93/3.11	                                            app_encode_fun(app_encode_fun(
2.93/3.11	                                                           'type/realax/real',
2.93/3.11	                                                           $o),$o),
2.93/3.11	                                            'const/sets/IN'('type/realax/real'),
2.93/3.11	                                            A1),
2.93/3.11	                             A) =>
2.93/3.11	              app_encode_app('type/realax/real',$o,
2.93/3.11	                             app_encode_app('type/realax/real',
2.93/3.11	                                            app_encode_fun('type/realax/real',
2.93/3.11	                                                           $o),
2.93/3.11	                                            'const/realax/real_le',A0),
2.93/3.11	                             A1)))) & 
2.93/3.11	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
2.93/3.11	      ((![A0:'type/realax/real']:
2.93/3.11	          ((![A1:'type/realax/real']:
2.93/3.11	              (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                              app_encode_app('type/realax/real',
2.93/3.11	                                             app_encode_fun(app_encode_fun(
2.93/3.11	                                                            'type/realax/real',
2.93/3.11	                                                            $o),$o),
2.93/3.11	                                             'const/sets/IN'('type/realax/real'),
2.93/3.11	                                             A1),
2.93/3.11	                              A) =>
2.93/3.11	               app_encode_app('type/realax/real',$o,
2.93/3.11	                              app_encode_app('type/realax/real',
2.93/3.11	                                             app_encode_fun('type/realax/real',
2.93/3.11	                                                            $o),
2.93/3.11	                                             'const/realax/real_le',A0),
2.93/3.11	                              A1))) =>
2.93/3.11	           app_encode_app('type/realax/real',$o,
2.93/3.11	                          app_encode_app('type/realax/real',
2.93/3.11	                                         app_encode_fun('type/realax/real',$o),
2.93/3.11	                                         'const/realax/real_le',A0),
2.93/3.11	                          app_encode_app(app_encode_fun('type/realax/real',$o),
2.93/3.11	                                         'type/realax/real','const/sets/inf',
2.93/3.11	                                         A)))) & 
2.93/3.11	       (![A0:'type/realax/real']:
2.93/3.11	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                          app_encode_app('type/realax/real',
2.93/3.11	                                         app_encode_fun(app_encode_fun(
2.93/3.11	                                                        'type/realax/real',$o),
2.93/3.11	                                                        $o),
2.93/3.11	                                         'const/sets/IN'('type/realax/real'),
2.93/3.11	                                         A0),
2.93/3.11	                          A) =>
2.93/3.11	           app_encode_app('type/realax/real',$o,
2.93/3.11	                          app_encode_app('type/realax/real',
2.93/3.11	                                         app_encode_fun('type/realax/real',$o),
2.93/3.11	                                         'const/realax/real_le',
2.93/3.11	                                         app_encode_app(app_encode_fun(
2.93/3.11	                                                        'type/realax/real',$o),
2.93/3.11	                                                        'type/realax/real',
2.93/3.11	                                                        'const/sets/inf',A)),
2.93/3.11	                          A0))))))).
2.93/3.11	tff(zf_stmt_1, axiom,
2.93/3.11	  (zip_tseitin2(A) =>
2.93/3.11	   ((![A0:'type/realax/real']:
2.93/3.11	       (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                       app_encode_app('type/realax/real',
2.93/3.11	                                      app_encode_fun(app_encode_fun('type/realax/real',
2.93/3.11	                                                                    $o),
2.93/3.11	                                                     $o),
2.93/3.11	                                      'const/sets/IN'('type/realax/real'),A0),
2.93/3.11	                       A) =>
2.93/3.11	        app_encode_app('type/realax/real',$o,
2.93/3.11	                       app_encode_app('type/realax/real',
2.93/3.11	                                      app_encode_fun('type/realax/real',$o),
2.93/3.11	                                      'const/realax/real_le',
2.93/3.11	                                      app_encode_app(app_encode_fun('type/realax/real',
2.93/3.11	                                                                    $o),
2.93/3.11	                                                     'type/realax/real',
2.93/3.11	                                                     'const/sets/inf',A)),
2.93/3.11	                       A0))) & 
2.93/3.11	    (![A0:'type/realax/real']:
2.93/3.11	       ((![A1:'type/realax/real']: zip_tseitin1(A1,A0,A)) =>
2.93/3.11	        app_encode_app('type/realax/real',$o,
2.93/3.11	                       app_encode_app('type/realax/real',
2.93/3.11	                                      app_encode_fun('type/realax/real',$o),
2.93/3.11	                                      'const/realax/real_le',A0),
2.93/3.11	                       app_encode_app(app_encode_fun('type/realax/real',$o),
2.93/3.11	                                      'type/realax/real','const/sets/inf',A))))))).
2.93/3.11	tff('6', plain,
2.93/3.11	    ![X13 : app_encode_fun('type/realax/real', $o), X16 : 'type/realax/real']:
2.93/3.11	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	             'const/sets/IN'('type/realax/real'), X16), X13)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'type/realax/real', 'const/sets/inf', X13)), X16)
2.93/3.11	       | ~ zip_tseitin2(X13)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.93/3.11	tff(zf_stmt_8, axiom,
2.93/3.11	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
2.93/3.11	     ((app_encode_app('type/realax/real',$o,
2.93/3.11	                      app_encode_app('type/realax/real',
2.93/3.11	                                     app_encode_fun('type/realax/real',$o),
2.93/3.11	                                     'const/realax/real_le',A),
2.93/3.11	                      A0) & 
2.93/3.11	       app_encode_app('type/realax/real',$o,
2.93/3.11	                      app_encode_app('type/realax/real',
2.93/3.11	                                     app_encode_fun('type/realax/real',$o),
2.93/3.11	                                     'const/realax/real_le',A0),
2.93/3.11	                      A1)) =>
2.93/3.11	      app_encode_app('type/realax/real',$o,
2.93/3.11	                     app_encode_app('type/realax/real',
2.93/3.11	                                    app_encode_fun('type/realax/real',$o),
2.93/3.11	                                    'const/realax/real_le',A),
2.93/3.11	                     A1)))).
2.93/3.11	tff('7', plain,
2.93/3.11	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
2.93/3.11	      X6 : 'type/realax/real']:
2.93/3.11	      (~ app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             X4), X5)
2.93/3.11	       | ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'const/realax/real_le', X5), X6)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             X4), X6)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_8])).
2.93/3.11	tff('8', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X2 : 'type/realax/real']:
2.93/3.11	      (~ $true
2.93/3.11	       | ~ zip_tseitin2(X1)
2.93/3.11	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	               'const/sets/IN'('type/realax/real'), X0), X1)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'type/realax/real', 'const/sets/inf', X1)), X2)
2.93/3.11	       | ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'const/realax/real_le', X0), X2)),
2.93/3.11	    inference('sup-', [status(thm)], ['6', '7'])).
2.93/3.11	tff('9', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X2 : 'type/realax/real']:
2.93/3.11	      (~ app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             X0), X2)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'type/realax/real', 'const/sets/inf', X1)), X2)
2.93/3.11	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	               'const/sets/IN'('type/realax/real'), X0), X1)
2.93/3.11	       | ~ zip_tseitin2(X1)),
2.93/3.11	    inference('simplify', [status(thm)], ['8'])).
2.93/3.11	tff('10', plain,
2.93/3.11	    ![X0 : app_encode_fun('type/realax/real', $o)]:
2.93/3.11	      (~ $true
2.93/3.11	       | ~ zip_tseitin2(X0)
2.93/3.11	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	               'const/sets/IN'('type/realax/real'), 
2.93/3.11	               sk_A1('type/realax/real', sk_A)), X0)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'type/realax/real', 'const/sets/inf', X0)), sk_A13)),
2.93/3.11	    inference('sup-', [status(thm)], ['5', '9'])).
2.93/3.11	tff('11', plain,
2.93/3.11	    ![X0 : app_encode_fun('type/realax/real', $o)]:
2.93/3.11	      (app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	             'type/realax/real', 'const/sets/inf', X0)), sk_A13)
2.93/3.11	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	               'const/sets/IN'('type/realax/real'), 
2.93/3.11	               sk_A1('type/realax/real', sk_A)), X0)
2.93/3.11	       | ~ zip_tseitin2(X0)),
2.93/3.11	    inference('simplify', [status(thm)], ['10'])).
2.93/3.11	tff('12', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
2.93/3.11	     | ~ zip_tseitin2(sk_A)
2.93/3.11	     | app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	             'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
2.93/3.11	    inference('sup-', [status(thm)], ['0', '11'])).
2.93/3.11	tff(zf_stmt_2, axiom,
2.93/3.11	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                   app_encode_app('type/realax/real',
2.93/3.11	                                  app_encode_fun(app_encode_fun('type/realax/real',
2.93/3.11	                                                                $o),
2.93/3.11	                                                 $o),
2.93/3.11	                                  'const/sets/IN'('type/realax/real'),A1),
2.93/3.11	                   A) =>
2.93/3.11	    app_encode_app('type/realax/real',$o,
2.93/3.11	                   app_encode_app('type/realax/real',
2.93/3.11	                                  app_encode_fun('type/realax/real',$o),
2.93/3.11	                                  'const/realax/real_le',A0),
2.93/3.11	                   A1)) =>
2.93/3.11	   zip_tseitin0(A1,A0,A))).
2.93/3.11	tff('13', plain,
2.93/3.11	    ![X11 : 'type/realax/real', X12 : 'type/realax/real', 
2.93/3.11	      X13 : app_encode_fun('type/realax/real', $o)]:
2.93/3.11	      (zip_tseitin0(X11, X12, X13)
2.93/3.11	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	             'const/sets/IN'('type/realax/real'), X11), X13)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.93/3.11	tff('14', plain,
2.93/3.11	    ![X20 : 'type/realax/real']:
2.93/3.11	      (app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A0), X20)
2.93/3.11	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	               'const/sets/IN'('type/realax/real'), X20), sk_A)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.93/3.11	tff('15', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
2.93/3.11	      (~ $true
2.93/3.11	       | zip_tseitin0(X0, X1, sk_A)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             sk_A0), X0)),
2.93/3.11	    inference('sup-', [status(thm)], ['13', '14'])).
2.93/3.11	tff('16', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
2.93/3.11	      (app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A0), X0)
2.93/3.11	       | zip_tseitin0(X0, X1, sk_A)),
2.93/3.11	    inference('simplify', [status(thm)], ['15'])).
2.93/3.11	tff('17', plain,
2.93/3.11	    ![X11 : 'type/realax/real', X12 : 'type/realax/real', 
2.93/3.11	      X13 : app_encode_fun('type/realax/real', $o)]:
2.93/3.11	      (zip_tseitin0(X11, X12, X13)
2.93/3.11	       | ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'const/realax/real_le', X12), X11)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.93/3.11	tff('18', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X2 : 'type/realax/real']:
2.93/3.11	      (~ $true | zip_tseitin0(X0, X2, sk_A) | zip_tseitin0(X0, sk_A0, X1)),
2.93/3.11	    inference('sup-', [status(thm)], ['16', '17'])).
2.93/3.11	tff('19', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X2 : 'type/realax/real']:
2.93/3.11	      (zip_tseitin0(X0, sk_A0, X1) | zip_tseitin0(X0, X2, sk_A)),
2.93/3.11	    inference('simplify', [status(thm)], ['18'])).
2.93/3.11	tff('20', plain,
2.93/3.11	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin0(X0, sk_A0, sk_A)),
2.93/3.11	    inference('eq_fact', [status(thm)], ['19'])).
2.93/3.11	tff('21', plain, ![X0 : 'type/realax/real']: zip_tseitin0(X0, sk_A0, sk_A),
2.93/3.11	    inference('simplify', [status(thm)], ['20'])).
2.93/3.11	tff(zf_stmt_3, type, zip_tseitin2 :
2.93/3.11	    app_encode_fun('type/realax/real',$o) > $o).
2.93/3.11	tff(zf_stmt_4, type, zip_tseitin1 :
2.93/3.11	    ('type/realax/real' * 
2.93/3.11	     'type/realax/real' * 
2.93/3.11	     app_encode_fun('type/realax/real',$o)) > $o).
2.93/3.11	tff(zf_stmt_5, axiom,
2.93/3.11	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
2.93/3.11	                   app_encode_app('type/realax/real',
2.93/3.11	                                  app_encode_fun(app_encode_fun('type/realax/real',
2.93/3.11	                                                                $o),
2.93/3.11	                                                 $o),
2.93/3.11	                                  'const/sets/IN'('type/realax/real'),A1),
2.93/3.11	                   A) =>
2.93/3.11	    app_encode_app('type/realax/real',$o,
2.93/3.11	                   app_encode_app('type/realax/real',
2.93/3.11	                                  app_encode_fun('type/realax/real',$o),
2.93/3.11	                                  'const/realax/real_le',A0),
2.93/3.11	                   A1)) =>
2.93/3.11	   zip_tseitin1(A1,A0,A))).
2.93/3.11	tff(zf_stmt_6, type, zip_tseitin0 :
2.93/3.11	    ('type/realax/real' * 
2.93/3.11	     'type/realax/real' * 
2.93/3.11	     app_encode_fun('type/realax/real',$o)) > $o).
2.93/3.11	tff(zf_stmt_7, axiom,
2.93/3.11	  (![A:app_encode_fun('type/realax/real',$o)]:
2.93/3.11	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
2.93/3.11	       (?[A0:'type/realax/real']:
2.93/3.11	          (![A1:'type/realax/real']: zip_tseitin0(A1,A0,A)))) =>
2.93/3.11	      zip_tseitin2(A)))).
2.93/3.11	tff('22', plain,
2.93/3.11	    ![X18 : app_encode_fun('type/realax/real', $o), X19 : 'type/realax/real']:
2.93/3.11	      (zip_tseitin2(X18)
2.93/3.11	       | ~ zip_tseitin0(sk_A12(X19, X18), X19, X18)
2.93/3.11	       | X18 = 'const/sets/EMPTY'('type/realax/real')),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_7])).
2.93/3.11	tff('23', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
2.93/3.11	     | zip_tseitin2(sk_A)),
2.93/3.11	    inference('sup-', [status(thm)], ['21', '22'])).
2.93/3.11	tff('24', plain,
2.93/3.11	    (zip_tseitin2(sk_A) | sk_A = 'const/sets/EMPTY'('type/realax/real')),
2.93/3.11	    inference('simplify', [status(thm)], ['23'])).
2.93/3.11	tff('25', plain, zip_tseitin2(sk_A),
2.93/3.11	    inference('simplify_reflect-', [status(thm)], ['24', '4'])).
2.93/3.11	tff('26', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
2.93/3.11	     | ~ $true
2.93/3.11	     | app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	             'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
2.93/3.11	    inference('demod', [status(thm)], ['12', '25'])).
2.93/3.11	tff('27', plain,
2.93/3.11	    (app_encode_app('type/realax/real', $o, 
2.93/3.11	       app_encode_app('type/realax/real', 
2.93/3.11	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	         app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	           'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)
2.93/3.11	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
2.93/3.11	    inference('simplify', [status(thm)], ['26'])).
2.93/3.11	tff('28', plain,
2.93/3.11	    app_encode_app('type/realax/real', $o, 
2.93/3.11	      app_encode_app('type/realax/real', 
2.93/3.11	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	        app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	          'type/realax/real', 'const/sets/inf', sk_A)), sk_A13),
2.93/3.11	    inference('simplify_reflect-', [status(thm)], ['27', '4'])).
2.93/3.11	tff('29', plain,
2.93/3.11	    (~ app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A0), 
2.93/3.11	         app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	           'type/realax/real', 'const/sets/inf', sk_A))
2.93/3.11	     | ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.93/3.11	tff('30', plain,
2.93/3.11	    ![X13 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X14 : 'type/realax/real', X15 : 'type/realax/real']:
2.93/3.11	      (zip_tseitin1(X14, X15, X13)
2.93/3.11	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
2.93/3.11	             'const/sets/IN'('type/realax/real'), X14), X13)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.93/3.11	tff('31', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
2.93/3.11	      (~ $true
2.93/3.11	       | zip_tseitin1(X0, X1, sk_A)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             sk_A0), X0)),
2.93/3.11	    inference('sup-', [status(thm)], ['30', '14'])).
2.93/3.11	tff('32', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : 'type/realax/real']:
2.93/3.11	      (app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A0), X0)
2.93/3.11	       | zip_tseitin1(X0, X1, sk_A)),
2.93/3.11	    inference('simplify', [status(thm)], ['31'])).
2.93/3.11	tff('33', plain,
2.93/3.11	    ![X13 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X14 : 'type/realax/real', X15 : 'type/realax/real']:
2.93/3.11	      (zip_tseitin1(X14, X15, X13)
2.93/3.11	       | ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	             app_encode_app('type/realax/real', 
2.93/3.11	               app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'const/realax/real_le', X15), X14)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.93/3.11	tff('34', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X2 : 'type/realax/real']:
2.93/3.11	      (~ $true | zip_tseitin1(X0, X2, sk_A) | zip_tseitin1(X0, sk_A0, X1)),
2.93/3.11	    inference('sup-', [status(thm)], ['32', '33'])).
2.93/3.11	tff('35', plain,
2.93/3.11	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
2.93/3.11	      X2 : 'type/realax/real']:
2.93/3.11	      (zip_tseitin1(X0, sk_A0, X1) | zip_tseitin1(X0, X2, sk_A)),
2.93/3.11	    inference('simplify', [status(thm)], ['34'])).
2.93/3.11	tff('36', plain,
2.93/3.11	    ![X0 : 'type/realax/real']: (~ $true | zip_tseitin1(X0, sk_A0, sk_A)),
2.93/3.11	    inference('eq_fact', [status(thm)], ['35'])).
2.93/3.11	tff('37', plain, ![X0 : 'type/realax/real']: zip_tseitin1(X0, sk_A0, sk_A),
2.93/3.11	    inference('simplify', [status(thm)], ['36'])).
2.93/3.11	tff('38', plain,
2.93/3.11	    ![X13 : app_encode_fun('type/realax/real', $o), X17 : 'type/realax/real']:
2.93/3.11	      (~ zip_tseitin1(sk_A11(X17, X13), X17, X13)
2.93/3.11	       | app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             X17), 
2.93/3.11	           app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	             'type/realax/real', 'const/sets/inf', X13))
2.93/3.11	       | ~ zip_tseitin2(X13)),
2.93/3.11	    inference('cnf', [status(esa)], [zf_stmt_1])).
2.93/3.11	tff('39', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | ~ zip_tseitin2(sk_A)
2.93/3.11	     | app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A0), 
2.93/3.11	         app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	           'type/realax/real', 'const/sets/inf', sk_A))),
2.93/3.11	    inference('sup-', [status(thm)], ['37', '38'])).
2.93/3.11	tff('40', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | ~ $true
2.93/3.11	     | app_encode_app('type/realax/real', $o, 
2.93/3.11	         app_encode_app('type/realax/real', 
2.93/3.11	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	           sk_A0), 
2.93/3.11	         app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	           'type/realax/real', 'const/sets/inf', sk_A))),
2.93/3.11	    inference('demod', [status(thm)], ['39', '25'])).
2.93/3.11	tff('41', plain,
2.93/3.11	    app_encode_app('type/realax/real', $o, 
2.93/3.11	      app_encode_app('type/realax/real', 
2.93/3.11	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	        sk_A0), 
2.93/3.11	      app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	        'type/realax/real', 'const/sets/inf', sk_A)),
2.93/3.11	    inference('simplify', [status(thm)], ['40'])).
2.93/3.11	tff('42', plain,
2.93/3.11	    (~ $true
2.93/3.11	     | ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	           app_encode_app('type/realax/real', 
2.93/3.11	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	             app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	               'type/realax/real', 'const/sets/inf', sk_A)), sk_A13)),
2.93/3.11	    inference('demod', [status(thm)], ['29', '41'])).
2.93/3.11	tff('43', plain,
2.93/3.11	    ~ app_encode_app('type/realax/real', $o, 
2.93/3.11	        app_encode_app('type/realax/real', 
2.93/3.11	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
2.93/3.11	          app_encode_app(app_encode_fun('type/realax/real', $o), 
2.93/3.11	            'type/realax/real', 'const/sets/inf', sk_A)), sk_A13),
2.93/3.11	    inference('simplify', [status(thm)], ['42'])).
2.93/3.11	tff('44', plain, ~ $true, inference('sup-', [status(thm)], ['28', '43'])).
2.93/3.11	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
2.93/3.11	
2.93/3.11	% SZS output end Refutation
2.93/3.11	EOF
