0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.01	#!/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n050.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:41:23 CST 2018
0.00/0.25	% done 81 iterations in 0.041s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_9, axiom,
0.00/0.25	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.00/0.25	     A1:'type/realax/real']:
0.00/0.25	     (((![A2:'type/realax/real']:
0.00/0.25	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.25	                          app_encode_app('type/realax/real',
0.00/0.25	                                         app_encode_fun(app_encode_fun(
0.00/0.25	                                                        'type/realax/real',$o),
0.00/0.25	                                                        $o),
0.00/0.25	                                         'const/sets/IN'('type/realax/real'),
0.00/0.25	                                         A2),
0.00/0.25	                          A) =>
0.00/0.25	           (app_encode_app('type/realax/real',$o,
0.00/0.25	                           app_encode_app('type/realax/real',
0.00/0.25	                                          app_encode_fun('type/realax/real',
0.00/0.25	                                                         $o),
0.00/0.25	                                          'const/realax/real_le',A2),
0.00/0.25	                           A1) & 
0.00/0.25	            app_encode_app('type/realax/real',$o,
0.00/0.25	                           app_encode_app('type/realax/real',
0.00/0.25	                                          app_encode_fun('type/realax/real',
0.00/0.25	                                                         $o),
0.00/0.25	                                          'const/realax/real_le',A0),
0.00/0.25	                           A2)))) & 
0.00/0.25	       (A != 'const/sets/EMPTY'('type/realax/real'))) =>
0.00/0.25	      (app_encode_app('type/realax/real',$o,
0.00/0.25	                      app_encode_app('type/realax/real',
0.00/0.25	                                     app_encode_fun('type/realax/real',$o),
0.00/0.25	                                     'const/realax/real_le',
0.00/0.25	                                     app_encode_app(app_encode_fun('type/realax/real',
0.00/0.25	                                                                   $o),
0.00/0.25	                                                    'type/realax/real',
0.00/0.25	                                                    'const/sets/sup',A)),
0.00/0.25	                      A1) & 
0.00/0.25	       app_encode_app('type/realax/real',$o,
0.00/0.25	                      app_encode_app('type/realax/real',
0.00/0.25	                                     app_encode_fun('type/realax/real',$o),
0.00/0.25	                                     'const/realax/real_le',A0),
0.00/0.25	                      app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.25	                                     'type/realax/real','const/sets/sup',A)))))).
0.00/0.25	tff(zf_stmt_0, axiom,
0.00/0.25	  ((app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.25	                   app_encode_app('type/realax/real',
0.00/0.25	                                  app_encode_fun(app_encode_fun('type/realax/real',
0.00/0.25	                                                                $o),
0.00/0.25	                                                 $o),
0.00/0.25	                                  'const/sets/IN'('type/realax/real'),A2),
0.00/0.25	                   A) =>
0.00/0.25	    (app_encode_app('type/realax/real',$o,
0.00/0.25	                    app_encode_app('type/realax/real',
0.00/0.25	                                   app_encode_fun('type/realax/real',$o),
0.00/0.25	                                   'const/realax/real_le',A0),
0.00/0.25	                    A2) & 
0.00/0.25	     app_encode_app('type/realax/real',$o,
0.00/0.25	                    app_encode_app('type/realax/real',
0.00/0.25	                                   app_encode_fun('type/realax/real',$o),
0.00/0.25	                                   'const/realax/real_le',A2),
0.00/0.25	                    A1))) =>
0.00/0.25	   zip_tseitin0(A2,A1,A0,A))).
0.00/0.25	tff('0', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.25	      X2 : 'type/realax/real', X3 : app_encode_fun('type/realax/real', $o)]:
0.00/0.25	      (zip_tseitin0(X0, X1, X2, X3)
0.00/0.25	       | app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	             'const/sets/IN'('type/realax/real'), X0), X3)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff(zf_stmt_11, conjecture,
0.00/0.25	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.00/0.25	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.25	       (![A1:'type/realax/real']:
0.00/0.25	          (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.25	                          app_encode_app('type/realax/real',
0.00/0.25	                                         app_encode_fun(app_encode_fun(
0.00/0.25	                                                        'type/realax/real',$o),
0.00/0.25	                                                        $o),
0.00/0.25	                                         'const/sets/IN'('type/realax/real'),
0.00/0.25	                                         A1),
0.00/0.25	                          A) =>
0.00/0.25	           app_encode_app('type/realax/real',$o,
0.00/0.25	                          app_encode_app('type/realax/real',
0.00/0.25	                                         app_encode_fun('type/realax/real',$o),
0.00/0.25	                                         'const/realax/real_le',
0.00/0.25	                                         app_encode_app('type/realax/real',
0.00/0.25	                                                        'type/realax/real',
0.00/0.25	                                                        'const/realax/real_abs',
0.00/0.25	                                                        A1)),
0.00/0.25	                          A0)))) =>
0.00/0.25	      app_encode_app('type/realax/real',$o,
0.00/0.25	                     app_encode_app('type/realax/real',
0.00/0.25	                                    app_encode_fun('type/realax/real',$o),
0.00/0.25	                                    'const/realax/real_le',
0.00/0.25	                                    app_encode_app('type/realax/real',
0.00/0.25	                                                   'type/realax/real',
0.00/0.25	                                                   'const/realax/real_abs',
0.00/0.25	                                                   app_encode_app(app_encode_fun(
0.00/0.25	                                                                  'type/realax/real',
0.00/0.25	                                                                  $o),
0.00/0.25	                                                                  'type/realax/real',
0.00/0.25	                                                                  'const/sets/sup',
0.00/0.25	                                                                  A))),
0.00/0.25	                     A0)))).
0.00/0.25	tff(zf_stmt_1, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real']:
0.00/0.25	       (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.25	         (![A1:'type/realax/real']:
0.00/0.25	            (app_encode_app(app_encode_fun('type/realax/real',$o),$o,
0.00/0.25	                            app_encode_app('type/realax/real',
0.00/0.25	                                           app_encode_fun(app_encode_fun(
0.00/0.25	                                                          'type/realax/real',
0.00/0.25	                                                          $o),$o),
0.00/0.25	                                           'const/sets/IN'('type/realax/real'),
0.00/0.25	                                           A1),
0.00/0.25	                            A) =>
0.00/0.25	             app_encode_app('type/realax/real',$o,
0.00/0.25	                            app_encode_app('type/realax/real',
0.00/0.25	                                           app_encode_fun('type/realax/real',
0.00/0.25	                                                          $o),
0.00/0.25	                                           'const/realax/real_le',
0.00/0.25	                                           app_encode_app('type/realax/real',
0.00/0.25	                                                          'type/realax/real',
0.00/0.25	                                                          'const/realax/real_abs',
0.00/0.25	                                                          A1)),
0.00/0.25	                            A0)))) =>
0.00/0.25	        app_encode_app('type/realax/real',$o,
0.00/0.25	                       app_encode_app('type/realax/real',
0.00/0.25	                                      app_encode_fun('type/realax/real',$o),
0.00/0.25	                                      'const/realax/real_le',
0.00/0.25	                                      app_encode_app('type/realax/real',
0.00/0.25	                                                     'type/realax/real',
0.00/0.25	                                                     'const/realax/real_abs',
0.00/0.25	                                                     app_encode_app(app_encode_fun(
0.00/0.25	                                                                    'type/realax/real',
0.00/0.25	                                                                    $o),
0.00/0.25	                                                                    'type/realax/real',
0.00/0.25	                                                                    'const/sets/sup',
0.00/0.25	                                                                    A))),
0.00/0.25	                       A0))))).
0.00/0.25	tff('1', plain,
0.00/0.25	    ![X10 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_abs', X10)), sk_A0)
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X10), sk_A)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.25	tff(zf_stmt_10, axiom,
0.00/0.25	  (![A:'type/realax/real',A0:'type/realax/real']:
0.00/0.25	     (app_encode_app('type/realax/real',$o,
0.00/0.25	                     app_encode_app('type/realax/real',
0.00/0.25	                                    app_encode_fun('type/realax/real',$o),
0.00/0.25	                                    'const/realax/real_le',
0.00/0.25	                                    app_encode_app('type/realax/real',
0.00/0.25	                                                   'type/realax/real',
0.00/0.25	                                                   'const/realax/real_abs',A)),
0.00/0.25	                     A0) <=>
0.00/0.25	      (app_encode_app('type/realax/real',$o,
0.00/0.25	                      app_encode_app('type/realax/real',
0.00/0.25	                                     app_encode_fun('type/realax/real',$o),
0.00/0.25	                                     'const/realax/real_le',
0.00/0.25	                                     app_encode_app('type/realax/real',
0.00/0.25	                                                    'type/realax/real',
0.00/0.25	                                                    'const/realax/real_neg',
0.00/0.25	                                                    A0)),
0.00/0.25	                      A) & 
0.00/0.25	       app_encode_app('type/realax/real',$o,
0.00/0.25	                      app_encode_app('type/realax/real',
0.00/0.25	                                     app_encode_fun('type/realax/real',$o),
0.00/0.25	                                     'const/realax/real_le',A),
0.00/0.25	                      A0))))).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X7 : 'type/realax/real', X8 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           X8), X7)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', 
0.00/0.25	               app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	                 'const/realax/real_abs', X8)), X7)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.25	tff('3', plain,
0.00/0.25	    ![X0 : 'type/realax/real']:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.25	       | app_encode_app('type/realax/real', $o, 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	             X0), sk_A0)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X0 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           X0), sk_A0)
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['3'])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.25	      X2 : 'type/realax/real']:
0.00/0.25	      (~ $true
0.00/0.25	       | zip_tseitin0(X0, X2, X1, sk_A)
0.00/0.25	       | app_encode_app('type/realax/real', $o, 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	             X0), sk_A0)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.25	      X2 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           X0), sk_A0)
0.00/0.25	       | zip_tseitin0(X0, X2, X1, sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['5'])).
0.00/0.25	tff('7', plain,
0.00/0.25	    ![X7 : 'type/realax/real', X8 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', X7)), X8)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', 
0.00/0.25	               app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	                 'const/realax/real_abs', X8)), X7)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.25	tff('8', plain,
0.00/0.25	    ![X0 : 'type/realax/real']:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.25	       | app_encode_app('type/realax/real', $o, 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	             app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	               'const/realax/real_neg', sk_A0)), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    ![X0 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', sk_A0)), X0)
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['8'])).
0.00/0.25	tff('10', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.25	      X2 : 'type/realax/real', X3 : app_encode_fun('type/realax/real', $o)]:
0.00/0.25	      (zip_tseitin0(X0, X1, X2, X3)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', X2), X0)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', X0), X1)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('11', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.25	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', X0), X1)
0.00/0.25	       | zip_tseitin0(X0, X1, 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', sk_A0), X2)),
0.00/0.25	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.25	tff('12', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : 'type/realax/real', 
0.00/0.25	      X2 : app_encode_fun('type/realax/real', $o)]:
0.00/0.25	      (zip_tseitin0(X0, X1, 
0.00/0.25	         app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           'const/realax/real_neg', sk_A0), X2)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', X0), X1)
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['11'])).
0.00/0.25	tff('13', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.25	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.00/0.25	      (~ $true
0.00/0.25	       | zip_tseitin0(X0, X3, X2, sk_A)
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.25	       | zip_tseitin0(X0, sk_A0, 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', sk_A0), X1)),
0.00/0.25	    inference('sup-', [status(thm)], ['6', '12'])).
0.00/0.25	tff('14', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.25	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.00/0.25	      (zip_tseitin0(X0, sk_A0, 
0.00/0.25	         app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           'const/realax/real_neg', sk_A0), X1)
0.00/0.25	       | ~ app_encode_app(app_encode_fun('type/realax/real', $o), $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun(app_encode_fun('type/realax/real', $o), $o), 
0.00/0.25	               'const/sets/IN'('type/realax/real'), X0), sk_A)
0.00/0.25	       | zip_tseitin0(X0, X3, X2, sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['13'])).
0.00/0.25	tff('15', plain,
0.00/0.25	    ![X0 : 'type/realax/real', X1 : app_encode_fun('type/realax/real', $o), 
0.00/0.25	      X2 : 'type/realax/real', X3 : 'type/realax/real']:
0.00/0.25	      (zip_tseitin0(X0, X3, X2, sk_A)
0.00/0.25	       | zip_tseitin0(X0, sk_A0, 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', sk_A0), X1)),
0.00/0.25	    inference('clc', [status(thm)], ['14', '0'])).
0.00/0.25	tff('16', plain,
0.00/0.25	    ![X0 : 'type/realax/real']:
0.00/0.25	      (~ $true
0.00/0.25	       | zip_tseitin0(X0, sk_A0, 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', sk_A0), sk_A)),
0.00/0.25	    inference('eq_fact', [status(thm)], ['15'])).
0.00/0.25	tff('17', plain,
0.00/0.25	    ![X0 : 'type/realax/real']:
0.00/0.25	      zip_tseitin0(X0, sk_A0, 
0.00/0.25	        app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	          'const/realax/real_neg', sk_A0), sk_A),
0.00/0.25	    inference('simplify', [status(thm)], ['16'])).
0.00/0.25	tff(zf_stmt_2, type, zip_tseitin1 :
0.00/0.25	    ('type/realax/real' * 
0.00/0.25	     'type/realax/real' * 
0.00/0.25	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.25	tff(zf_stmt_3, axiom,
0.00/0.25	  (zip_tseitin1(A1,A0,A) =>
0.00/0.25	   (app_encode_app('type/realax/real',$o,
0.00/0.25	                   app_encode_app('type/realax/real',
0.00/0.25	                                  app_encode_fun('type/realax/real',$o),
0.00/0.25	                                  'const/realax/real_le',A0),
0.00/0.25	                   app_encode_app(app_encode_fun('type/realax/real',$o),
0.00/0.25	                                  'type/realax/real','const/sets/sup',A)) & 
0.00/0.25	    app_encode_app('type/realax/real',$o,
0.00/0.25	                   app_encode_app('type/realax/real',
0.00/0.25	                                  app_encode_fun('type/realax/real',$o),
0.00/0.25	                                  'const/realax/real_le',
0.00/0.25	                                  app_encode_app(app_encode_fun('type/realax/real',
0.00/0.25	                                                                $o),
0.00/0.25	                                                 'type/realax/real',
0.00/0.25	                                                 'const/sets/sup',A)),
0.00/0.25	                   A1)))).
0.00/0.25	tff(zf_stmt_4, type, zip_tseitin0 :
0.00/0.25	    ('type/realax/real' * 
0.00/0.25	     'type/realax/real' * 
0.00/0.25	     'type/realax/real' * 
0.00/0.25	     app_encode_fun('type/realax/real',$o)) > $o).
0.00/0.25	tff(zf_stmt_5, axiom,
0.00/0.25	  (![A:app_encode_fun('type/realax/real',$o),A0:'type/realax/real',
0.00/0.25	     A1:'type/realax/real']:
0.00/0.25	     (((A != 'const/sets/EMPTY'('type/realax/real')) & 
0.00/0.25	       (![A2:'type/realax/real']: zip_tseitin0(A2,A1,A0,A))) =>
0.00/0.25	      zip_tseitin1(A1,A0,A)))).
0.00/0.25	tff('18', plain,
0.00/0.25	    ![X4 : app_encode_fun('type/realax/real', $o), X5 : 'type/realax/real', 
0.00/0.25	      X6 : 'type/realax/real']:
0.00/0.25	      (X4 = 'const/sets/EMPTY'('type/realax/real')
0.00/0.25	       | ~ zip_tseitin0(sk_A2(X5, X6, X4), X5, X6, X4)
0.00/0.25	       | zip_tseitin1(X5, X6, X4)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.25	tff('19', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | zip_tseitin1(sk_A0, 
0.00/0.25	         app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           'const/realax/real_neg', sk_A0), sk_A)
0.00/0.25	     | sk_A = 'const/sets/EMPTY'('type/realax/real')),
0.00/0.25	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.25	tff('20', plain,
0.00/0.25	    (sk_A = 'const/sets/EMPTY'('type/realax/real')
0.00/0.25	     | zip_tseitin1(sk_A0, 
0.00/0.25	         app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           'const/realax/real_neg', sk_A0), sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['19'])).
0.00/0.25	tff('21', plain, sk_A != 'const/sets/EMPTY'('type/realax/real'),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.25	tff('22', plain,
0.00/0.25	    zip_tseitin1(sk_A0, 
0.00/0.25	      app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	        'const/realax/real_neg', sk_A0), sk_A),
0.00/0.25	    inference('simplify_reflect-', [status(thm)], ['20', '21'])).
0.00/0.25	tff('23', plain,
0.00/0.25	    ![X1 : 'type/realax/real', X2 : 'type/realax/real', 
0.00/0.25	      X3 : app_encode_fun('type/realax/real', $o)]:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           X2), 
0.00/0.25	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	           'type/realax/real', 'const/sets/sup', X3))
0.00/0.25	       | ~ zip_tseitin1(X1, X2, X3)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.25	tff('24', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_neg', sk_A0)), 
0.00/0.25	         app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	           'type/realax/real', 'const/sets/sup', sk_A))),
0.00/0.25	    inference('sup-', [status(thm)], ['22', '23'])).
0.00/0.25	tff('25', plain,
0.00/0.25	    app_encode_app('type/realax/real', $o, 
0.00/0.25	      app_encode_app('type/realax/real', 
0.00/0.25	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	        app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	          'const/realax/real_neg', sk_A0)), 
0.00/0.25	      app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	        'type/realax/real', 'const/sets/sup', sk_A)),
0.00/0.25	    inference('simplify', [status(thm)], ['24'])).
0.00/0.25	tff('26', plain,
0.00/0.25	    ![X8 : 'type/realax/real', X9 : 'type/realax/real']:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_abs', X8)), X9)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', X8), X9)
0.00/0.25	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	             app_encode_app('type/realax/real', 
0.00/0.25	               app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'const/realax/real_le', 
0.00/0.25	               app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	                 'const/realax/real_neg', X9)), X8)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.25	tff('27', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)
0.00/0.25	     | app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_abs', 
0.00/0.25	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'type/realax/real', 'const/sets/sup', sk_A))), sk_A0)),
0.00/0.25	    inference('sup-', [status(thm)], ['25', '26'])).
0.00/0.25	tff('28', plain,
0.00/0.25	    ![X1 : 'type/realax/real', X2 : 'type/realax/real', 
0.00/0.25	      X3 : app_encode_fun('type/realax/real', $o)]:
0.00/0.25	      (app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	             'type/realax/real', 'const/sets/sup', X3)), X1)
0.00/0.25	       | ~ zip_tseitin1(X1, X2, X3)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.25	tff('29', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	             'type/realax/real', 'const/sets/sup', sk_A)), sk_A0)),
0.00/0.25	    inference('sup-', [status(thm)], ['22', '28'])).
0.00/0.25	tff('30', plain,
0.00/0.25	    app_encode_app('type/realax/real', $o, 
0.00/0.25	      app_encode_app('type/realax/real', 
0.00/0.25	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	        app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	          'type/realax/real', 'const/sets/sup', sk_A)), sk_A0),
0.00/0.25	    inference('simplify', [status(thm)], ['29'])).
0.00/0.25	tff('31', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ $true
0.00/0.25	     | app_encode_app('type/realax/real', $o, 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	           app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	             'const/realax/real_abs', 
0.00/0.25	             app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	               'type/realax/real', 'const/sets/sup', sk_A))), sk_A0)),
0.00/0.25	    inference('demod', [status(thm)], ['27', '30'])).
0.00/0.25	tff('32', plain,
0.00/0.25	    app_encode_app('type/realax/real', $o, 
0.00/0.25	      app_encode_app('type/realax/real', 
0.00/0.25	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	        app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	          'const/realax/real_abs', 
0.00/0.25	          app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	            'type/realax/real', 'const/sets/sup', sk_A))), sk_A0),
0.00/0.25	    inference('simplify', [status(thm)], ['31'])).
0.00/0.25	tff('33', plain,
0.00/0.25	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.25	        app_encode_app('type/realax/real', 
0.00/0.25	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.25	          app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	            'const/realax/real_abs', 
0.00/0.25	            app_encode_app(app_encode_fun('type/realax/real', $o), 
0.00/0.25	              'type/realax/real', 'const/sets/sup', sk_A))), sk_A0),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.25	tff('34', plain, ~ $true, inference('sup-', [status(thm)], ['32', '33'])).
0.00/0.25	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
