0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n066.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:41:24 CST 2018
0.00/0.22	% done 20 iterations in 0.018s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_10, axiom,
0.00/0.23	  (![A:app_encode_fun('type/realax/real',$o)]:
0.00/0.23	     ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                      'const/sets/FINITE'('type/realax/real'),A) & 
0.00/0.23	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.23	      (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                      app_encode_app('type/realax/real',
0.00/0.23	                                     app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.23	                                                                   $o),
0.00/0.23	                                                    $o),
0.00/0.23	                                     'const/sets/IN'('type/realax/real'),
0.00/0.23	                                     app_encode_app(app_encode_fun('type/realax/real',
0.00/0.23	                                                                   $o),
0.00/0.23	                                                    'type/realax/real',
0.00/0.23	                                                    'const/sets/sup',A)),
0.00/0.23	                      A) & 
0.00/0.23	       (![A0:'type/realax/real']:
0.00/0.23	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                          app_encode_app('type/realax/real',
0.00/0.23	                                         app_encode_fun(app_encode_fun(
0.00/0.23	                                                        'type/realax/real',$o),
0.00/0.23	                                                        $o),
0.00/0.23	                                         'const/sets/IN'('type/realax/real'),
0.00/0.23	                                         A0),
0.00/0.23	                          A) =>
0.00/0.23	           app_encode_app('type/realax/real',$o,
0.00/0.23	                          app_encode_app('type/realax/real',
0.00/0.23	                                         app_encode_fun('type/realax/real',$o),
0.00/0.23	                                         'const/realax/real_le',A0),
0.00/0.23	                          app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.23	                                         'type/realax/real','const/sets/sup',
0.00/0.23	                                         A)))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X7 : app_encode_fun('type/realax/real', $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	           'const/sets/IN'('type/realax/real'), 
0.00/0.23	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	             'type/realax/real', 'const/sets/sup', X7)), X7)
0.00/0.23	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/realax/real'), X7)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff(zf_stmt_11, conjecture,
0.00/0.23	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.00/0.23	     ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                      'const/sets/FINITE'('type/realax/real'),A) & 
0.00/0.23	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.23	      (app_encode_app('type/realax/real',$o,
0.00/0.23	                      app_encode_app('type/realax/real',
0.00/0.23	                                     app_encode_fun('type/realax/real',$o),
0.00/0.23	                                     'const/realax/real_le',
0.00/0.23	                                     app_encode_app(app_encode_fun('type/realax/real',
0.00/0.23	                                                                   $o),
0.00/0.23	                                                    'type/realax/real',
0.00/0.23	                                                    'const/sets/sup',A)),
0.00/0.23	                      A0) <=>
0.00/0.23	       (![A1:'type/realax/real']:
0.00/0.23	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                          app_encode_app('type/realax/real',
0.00/0.23	                                         app_encode_fun(app_encode_fun(
0.00/0.23	                                                        'type/realax/real',$o),
0.00/0.23	                                                        $o),
0.00/0.23	                                         'const/sets/IN'('type/realax/real'),
0.00/0.23	                                         A1),
0.00/0.23	                          A) =>
0.00/0.23	           app_encode_app('type/realax/real',$o,
0.00/0.23	                          app_encode_app('type/realax/real',
0.00/0.23	                                         app_encode_fun('type/realax/real',$o),
0.00/0.23	                                         'const/realax/real_le',A1),
0.00/0.23	                          A0))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.00/0.23	       ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                        'const/sets/FINITE'('type/realax/real'),A) & 
0.00/0.23	         (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.23	        (app_encode_app('type/realax/real',$o,
0.00/0.23	                        app_encode_app('type/realax/real',
0.00/0.23	                                       app_encode_fun('type/realax/real',$o),
0.00/0.23	                                       'const/realax/real_le',
0.00/0.23	                                       app_encode_app(app_encode_fun(
0.00/0.23	                                                      'type/realax/real',$o),
0.00/0.23	                                                      'type/realax/real',
0.00/0.23	                                                      'const/sets/sup',A)),
0.00/0.23	                        A0) <=>
0.00/0.23	         (![A1:'type/realax/real']:
0.00/0.23	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.23	                            app_encode_app('type/realax/real',
0.00/0.23	                                           app_encode_fun(app_encode_fun(
0.00/0.23	                                                          'type/realax/real',
0.00/0.23	                                                          $o),$o),
0.00/0.23	                                           'const/sets/IN'('type/realax/real'),
0.00/0.23	                                           A1),
0.00/0.23	                            A) =>
0.00/0.23	             app_encode_app('type/realax/real',$o,
0.00/0.23	                            app_encode_app('type/realax/real',
0.00/0.23	                                           app_encode_fun('type/realax/real',
0.00/0.23	                                                          $o),
0.00/0.23	                                           'const/realax/real_le',A1),
0.00/0.23	                            A0)))))))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X9 : 'type/realax/real']:
0.00/0.23	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	             'const/sets/IN'('type/realax/real'), X9), sk_A)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X9), sk_A0)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	           'const/sets/FINITE'('type/realax/real'), sk_A)
0.00/0.23	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	     | app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.00/0.23	     | app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.23	tff('3', plain,
0.00/0.23	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	      'const/sets/FINITE'('type/realax/real'), sk_A),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('4', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ $true
0.00/0.23	     | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	     | app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.00/0.23	     | app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.23	    inference('demod', [status(thm)], ['2', '3'])).
0.00/0.23	tff('5', plain,
0.00/0.23	    (app_encode_app('type/realax/real', $o, 
0.00/0.23	       app_encode_app('type/realax/real', 
0.00/0.23	         app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	           'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.00/0.23	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.23	    inference('simplify', [status(thm)], ['4'])).
0.00/0.23	tff('6', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('7', plain,
0.00/0.23	    app_encode_app('type/realax/real', $o, 
0.00/0.23	      app_encode_app('type/realax/real', 
0.00/0.23	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	          'type/realax/real', 'const/sets/sup', sk_A)), sk_A0),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['5', '6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    (app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	       app_encode_app('type/realax/real', 
0.00/0.23	         app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	         'const/sets/IN'('type/realax/real'), sk_A1), sk_A)
0.00/0.23	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('9', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	           'const/sets/IN'('type/realax/real'), sk_A1), sk_A)),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	      app_encode_app('type/realax/real', 
0.00/0.23	        app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	        'const/sets/IN'('type/realax/real'), sk_A1), sk_A),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X7 : app_encode_fun('type/realax/real', $o), X8 : 'type/realax/real']:
0.00/0.23	      (~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	             'const/sets/IN'('type/realax/real'), X8), X7)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X8), 
0.00/0.23	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	             'type/realax/real', 'const/sets/sup', X7))
0.00/0.23	       | X7 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/realax/real'), X7)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff(zf_stmt_9, axiom,
0.00/0.23	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.23	     ((app_encode_app('type/realax/real',$o,
0.00/0.23	                      app_encode_app('type/realax/real',
0.00/0.23	                                     app_encode_fun('type/realax/real',$o),
0.00/0.23	                                     'const/realax/real_le',A),
0.00/0.23	                      A0) & 
0.00/0.23	       app_encode_app('type/realax/real',$o,
0.00/0.23	                      app_encode_app('type/realax/real',
0.00/0.23	                                     app_encode_fun('type/realax/real',$o),
0.00/0.23	                                     'const/realax/real_le',A0),
0.00/0.23	                      A1)) =>
0.00/0.23	      app_encode_app('type/realax/real',$o,
0.00/0.23	                     app_encode_app('type/realax/real',
0.00/0.23	                                    app_encode_fun('type/realax/real',$o),
0.00/0.23	                                    'const/realax/real_le',A),
0.00/0.23	                     A1)))).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X4 : 'type/realax/real', X5 : 'type/realax/real', 
0.00/0.23	      X6 : 'type/realax/real']:
0.00/0.23	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X4), X5)
0.00/0.23	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun('type/realax/real', $o), 
0.00/0.23	               'const/realax/real_le', X5), X6)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X4), X6)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.00/0.23	      X2 : 'type/realax/real']:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/realax/real'), X0)
0.00/0.23	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/realax/real'), X1), X0)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X1), X2)
0.00/0.23	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun('type/realax/real', $o), 
0.00/0.23	               'const/realax/real_le', 
0.00/0.23	               app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	                 'type/realax/real', 'const/sets/sup', X0)), X2)),
0.00/0.23	    inference('sup-', [status(thm)], ['11', '12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0 : app_encode_fun('type/realax/real', $o), X1 : 'type/realax/real', 
0.00/0.23	      X2 : 'type/realax/real']:
0.00/0.23	      (~ app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	               'type/realax/real', 'const/sets/sup', X0)), X2)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X1), X2)
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/realax/real'), X1), X0)
0.00/0.23	       | X0 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/realax/real'), X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['13'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0 : 'type/realax/real']:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/realax/real'), sk_A)
0.00/0.23	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X0), sk_A0)),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0 : 'type/realax/real']:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ $true
0.00/0.23	       | sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.23	       | app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             X0), sk_A0)),
0.00/0.23	    inference('demod', [status(thm)], ['15', '3'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X0 : 'type/realax/real']:
0.00/0.23	      (app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           X0), sk_A0)
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.23	       | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.23	    inference('simplify', [status(thm)], ['16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ![X0 : 'type/realax/real']:
0.00/0.23	      (app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           X0), sk_A0)
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.23	             app_encode_app('type/realax/real', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/realax/real'), X0), sk_A)),
0.00/0.23	    inference('simplify_reflect-', [status(thm)], ['17', '6'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           sk_A1), sk_A0)),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    app_encode_app('type/realax/real', $o, 
0.00/0.23	      app_encode_app('type/realax/real', 
0.00/0.23	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	        sk_A1), sk_A0),
0.00/0.23	    inference('simplify', [status(thm)], ['19'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    (~ app_encode_app('type/realax/real', $o, 
0.00/0.23	         app_encode_app('type/realax/real', 
0.00/0.23	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	           sk_A1), sk_A0)
0.00/0.23	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.23	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('22', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.23	           app_encode_app('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	             sk_A1), sk_A0)),
0.00/0.23	    inference('sup-', [status(thm)], ['7', '21'])).
0.00/0.23	tff('23', plain,
0.00/0.23	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.23	        app_encode_app('type/realax/real', 
0.00/0.23	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.23	          sk_A1), sk_A0),
0.00/0.23	    inference('simplify', [status(thm)], ['22'])).
0.00/0.23	tff('24', plain, ~ $true, inference('sup-', [status(thm)], ['20', '23'])).
0.00/0.23	tff('25', plain, $false, inference('simplify', [status(thm)], ['24'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
