0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n066.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:39:09 CST 2018
0.00/0.23	% done 20 iterations in 0.026s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_13, conjecture,
0.00/0.23	  (![A:app_encode_fun('type/nums/num','type/nums/num'),A0:'type/nums/num',
0.00/0.23	     A1:'type/nums/num']:
0.00/0.23	     ((app_encode_app(app_encode_fun('type/nums/num','type/nums/num'),
0.00/0.23	                      'type/nums/num',
0.00/0.23	                      app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.23	                                     app_encode_fun(app_encode_fun('type/nums/num',
0.00/0.23	                                                                   'type/nums/num'),
0.00/0.23	                                                    'type/nums/num'),
0.00/0.23	                                     'const/iterate/nsum'('type/nums/num'),
0.00/0.23	                                     app_encode_app('type/nums/num',
0.00/0.23	                                                    app_encode_fun('type/nums/num',
0.00/0.23	                                                                   $o),
0.00/0.23	                                                    app_encode_app('type/nums/num',
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   'type/nums/num',
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   'type/nums/num',
0.00/0.23	                                                                   $o)),
0.00/0.23	                                                                   'const/iterate/..',
0.00/0.23	                                                                   A0),
0.00/0.23	                                                    A1)),
0.00/0.23	                      A) =
0.00/0.23	       app_encode_app('type/nums/num','type/nums/num','const/nums/NUMERAL',
0.00/0.23	                      'const/nums/_0')) <=>
0.00/0.23	      (![A2:'type/nums/num']:
0.00/0.23	         ((app_encode_app('type/nums/num',$o,
0.00/0.23	                          app_encode_app('type/nums/num',
0.00/0.23	                                         app_encode_fun('type/nums/num',$o),
0.00/0.23	                                         'const/arith/<=',A0),
0.00/0.23	                          A2) & 
0.00/0.23	           app_encode_app('type/nums/num',$o,
0.00/0.23	                          app_encode_app('type/nums/num',
0.00/0.23	                                         app_encode_fun('type/nums/num',$o),
0.00/0.23	                                         'const/arith/<=',A2),
0.00/0.23	                          A1)) =>
0.00/0.23	          (app_encode_app('type/nums/num','type/nums/num',A,A2) =
0.00/0.23	           app_encode_app('type/nums/num','type/nums/num',
0.00/0.23	                          'const/nums/NUMERAL','const/nums/_0'))))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![A:app_encode_fun('type/nums/num','type/nums/num'),A0:'type/nums/num',
0.00/0.23	       A1:'type/nums/num']:
0.00/0.23	       ((app_encode_app(app_encode_fun('type/nums/num','type/nums/num'),
0.00/0.23	                        'type/nums/num',
0.00/0.23	                        app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.23	                                       app_encode_fun(app_encode_fun(
0.00/0.23	                                                      'type/nums/num',
0.00/0.23	                                                      'type/nums/num'),
0.00/0.23	                                                      'type/nums/num'),
0.00/0.23	                                       'const/iterate/nsum'('type/nums/num'),
0.00/0.23	                                       app_encode_app('type/nums/num',
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      'type/nums/num',$o),
0.00/0.23	                                                      app_encode_app(
0.00/0.23	                                                      'type/nums/num',
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      'type/nums/num',
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      'type/nums/num',$o)),
0.00/0.23	                                                      'const/iterate/..',A0),
0.00/0.23	                                                      A1)),
0.00/0.23	                        A) =
0.00/0.23	         app_encode_app('type/nums/num','type/nums/num','const/nums/NUMERAL',
0.00/0.23	                        'const/nums/_0')) <=>
0.00/0.23	        (![A2:'type/nums/num']:
0.00/0.23	           ((app_encode_app('type/nums/num',$o,
0.00/0.23	                            app_encode_app('type/nums/num',
0.00/0.23	                                           app_encode_fun('type/nums/num',$o),
0.00/0.23	                                           'const/arith/<=',A0),
0.00/0.23	                            A2) & 
0.00/0.23	             app_encode_app('type/nums/num',$o,
0.00/0.23	                            app_encode_app('type/nums/num',
0.00/0.23	                                           app_encode_fun('type/nums/num',$o),
0.00/0.23	                                           'const/arith/<=',A2),
0.00/0.23	                            A1)) =>
0.00/0.23	            (app_encode_app('type/nums/num','type/nums/num',A,A2) =
0.00/0.23	             app_encode_app('type/nums/num','type/nums/num',
0.00/0.23	                            'const/nums/NUMERAL','const/nums/_0')))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    (app_encode_app('type/nums/num', $o, 
0.00/0.23	       app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.23	         'const/arith/<=', sk_A21), sk_A1)
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	             'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(zf_stmt_11, axiom,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,'type/nums/num'),A1:app_encode_fun(A,$o)]:
0.00/0.23	     (app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) =>
0.00/0.23	      ((app_encode_app(app_encode_fun(A,'type/nums/num'),'type/nums/num',
0.00/0.23	                       app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                      app_encode_fun(app_encode_fun(A,
0.00/0.23	                                                                    'type/nums/num'),
0.00/0.23	                                                     'type/nums/num'),
0.00/0.23	                                      'const/iterate/nsum'(A),A1),
0.00/0.23	                       A0) =
0.00/0.23	        app_encode_app('type/nums/num','type/nums/num','const/nums/NUMERAL',
0.00/0.23	                       'const/nums/_0')) <=>
0.00/0.23	       (![A2:A]:
0.00/0.23	          (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                          app_encode_app(A,
0.00/0.23	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                        $o),
0.00/0.23	                                         'const/sets/IN'(A),A2),
0.00/0.23	                          A1) =>
0.00/0.23	           (app_encode_app(A,'type/nums/num',A0,A2) =
0.00/0.23	            app_encode_app('type/nums/num','type/nums/num',
0.00/0.23	                           'const/nums/NUMERAL','const/nums/_0')))))))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), 
0.00/0.23	      X6 : app_encode_fun(X4, 'type/nums/num')]:
0.00/0.23	      (app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.23	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.23	           'const/sets/IN'(X4), sk_A2(X4, X5, X6)), X5)
0.00/0.23	       | app_encode_app(app_encode_fun(X4, 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun(X4, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(X4, 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'(X4), X5), X6)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X4), X5)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.23	tff(zf_stmt_10, axiom,
0.00/0.23	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.23	     (app_encode_app(app_encode_fun('type/nums/num',$o),$o,
0.00/0.23	                     app_encode_app('type/nums/num',
0.00/0.23	                                    app_encode_fun(app_encode_fun('type/nums/num',
0.00/0.23	                                                                  $o),
0.00/0.23	                                                   $o),
0.00/0.23	                                    'const/sets/IN'('type/nums/num'),A1),
0.00/0.23	                     app_encode_app('type/nums/num',
0.00/0.23	                                    app_encode_fun('type/nums/num',$o),
0.00/0.23	                                    app_encode_app('type/nums/num',
0.00/0.23	                                                   app_encode_fun('type/nums/num',
0.00/0.23	                                                                  app_encode_fun(
0.00/0.23	                                                                  'type/nums/num',
0.00/0.23	                                                                  $o)),
0.00/0.23	                                                   'const/iterate/..',A),
0.00/0.23	                                    A0)) <=>
0.00/0.23	      (app_encode_app('type/nums/num',$o,
0.00/0.23	                      app_encode_app('type/nums/num',
0.00/0.23	                                     app_encode_fun('type/nums/num',$o),
0.00/0.23	                                     'const/arith/<=',A),
0.00/0.23	                      A1) & 
0.00/0.23	       app_encode_app('type/nums/num',$o,
0.00/0.23	                      app_encode_app('type/nums/num',
0.00/0.23	                                     app_encode_fun('type/nums/num',$o),
0.00/0.23	                                     'const/arith/<=',A1),
0.00/0.23	                      A0))))).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', X2 : 'type/nums/num']:
0.00/0.23	      (app_encode_app('type/nums/num', $o, 
0.00/0.23	         app_encode_app('type/nums/num', 
0.00/0.23	           app_encode_fun('type/nums/num', $o), 'const/arith/<=', X1), X2)
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/nums/num', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/nums/num'), X1), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X0), X2))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.23	      X2 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0))
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0)), X2)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.23	             sk_A2('type/nums/num', 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o), 
0.00/0.23	                 app_encode_app('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', 
0.00/0.23	                     app_encode_fun('type/nums/num', $o)), 
0.00/0.23	                   'const/iterate/..', X1), X0), X2)), X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.23	tff(zf_stmt_12, axiom,
0.00/0.23	  (![A:'type/nums/num',A0:'type/nums/num']:
0.00/0.23	     app_encode_app(app_encode_fun('type/nums/num',$o),$o,
0.00/0.23	                    'const/sets/FINITE'('type/nums/num'),
0.00/0.23	                    app_encode_app('type/nums/num',
0.00/0.23	                                   app_encode_fun('type/nums/num',$o),
0.00/0.23	                                   app_encode_app('type/nums/num',
0.00/0.23	                                                  app_encode_fun('type/nums/num',
0.00/0.23	                                                                 app_encode_fun(
0.00/0.23	                                                                 'type/nums/num',
0.00/0.23	                                                                 $o)),
0.00/0.23	                                                  'const/iterate/..',A),
0.00/0.23	                                   A0)))).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X8 : 'type/nums/num', X9 : 'type/nums/num']:
0.00/0.23	      app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	        'const/sets/FINITE'('type/nums/num'), 
0.00/0.23	        app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.23	          app_encode_app('type/nums/num', 
0.00/0.23	            app_encode_fun('type/nums/num', 
0.00/0.23	              app_encode_fun('type/nums/num', $o)), 'const/iterate/..', X8), 
0.00/0.23	          X9)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.23	      X2 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ $true
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0)), X2)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.23	             sk_A2('type/nums/num', 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o), 
0.00/0.23	                 app_encode_app('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', 
0.00/0.23	                     app_encode_fun('type/nums/num', $o)), 
0.00/0.23	                   'const/iterate/..', X1), X0), X2)), X0)),
0.00/0.23	    inference('demod', [status(thm)], ['3', '4'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.23	      X2 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (app_encode_app('type/nums/num', $o, 
0.00/0.23	         app_encode_app('type/nums/num', 
0.00/0.23	           app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.23	           sk_A2('type/nums/num', 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0), X2)), X0)
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0)), X2)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('simplify', [status(thm)], ['5'])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', X2 : 'type/nums/num']:
0.00/0.23	      (app_encode_app('type/nums/num', $o, 
0.00/0.23	         app_encode_app('type/nums/num', 
0.00/0.23	           app_encode_fun('type/nums/num', $o), 'const/arith/<=', X0), X1)
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun(app_encode_fun('type/nums/num', $o), $o), 
0.00/0.23	               'const/sets/IN'('type/nums/num'), X1), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X0), X2))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.23	      X2 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	             'const/sets/FINITE'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0))
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0)), X2)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X1), 
0.00/0.23	           sk_A2('type/nums/num', 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0), X2))),
0.00/0.23	    inference('sup-', [status(thm)], ['1', '7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.23	      X2 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ $true
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0)), X2)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X1), 
0.00/0.23	           sk_A2('type/nums/num', 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0), X2))),
0.00/0.23	    inference('demod', [status(thm)], ['8', '4'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.23	      X2 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (app_encode_app('type/nums/num', $o, 
0.00/0.23	         app_encode_app('type/nums/num', 
0.00/0.23	           app_encode_fun('type/nums/num', $o), 'const/arith/<=', X1), 
0.00/0.23	         sk_A2('type/nums/num', 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               X1), X0), X2))
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 X1), X0)), X2)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X10 : 'type/nums/num']:
0.00/0.23	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', sk_A0), 
0.00/0.23	           X10)
0.00/0.23	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X10), 
0.00/0.23	             sk_A1)
0.00/0.23	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, X10)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), sk_A)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0 : app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	      X1 : 'type/nums/num']:
0.00/0.23	      (~ $true
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), X1)), X0)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), sk_A)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, 
0.00/0.23	           sk_A2('type/nums/num', 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), X1), X0))
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.23	               sk_A2('type/nums/num', 
0.00/0.23	                 app_encode_app('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o), 
0.00/0.23	                   app_encode_app('type/nums/num', 
0.00/0.23	                     app_encode_fun('type/nums/num', 
0.00/0.23	                       app_encode_fun('type/nums/num', $o)), 
0.00/0.23	                     'const/iterate/..', sk_A0), X1), X0)), sk_A1)),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0 : app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	      X1 : 'type/nums/num']:
0.00/0.23	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.23	             sk_A2('type/nums/num', 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o), 
0.00/0.23	                 app_encode_app('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', 
0.00/0.23	                     app_encode_fun('type/nums/num', $o)), 
0.00/0.23	                   'const/iterate/..', sk_A0), X1), X0)), sk_A1)
0.00/0.23	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, 
0.00/0.23	           sk_A2('type/nums/num', 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), X1), X0))
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), sk_A)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), X1)), X0)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('simplify', [status(thm)], ['12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (~ $true
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), X0)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), X0)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), sk_A)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, 
0.00/0.23	           sk_A2('type/nums/num', 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1), X0))
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('sup-', [status(thm)], ['6', '13'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.23	      (app_encode_app('type/nums/num', 'type/nums/num', sk_A, 
0.00/0.23	         sk_A2('type/nums/num', 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1), X0))
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), sk_A)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_fun(
0.00/0.23	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 
0.00/0.23	               app_encode_app('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', 
0.00/0.23	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	                 sk_A0), sk_A1)), X0)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('simplify', [status(thm)], ['14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), 
0.00/0.23	      X6 : app_encode_fun(X4, 'type/nums/num')]:
0.00/0.23	      (app_encode_app(X4, 'type/nums/num', X6, sk_A2(X4, X5, X6))
0.00/0.23	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	             'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | app_encode_app(app_encode_fun(X4, 'type/nums/num'), 
0.00/0.23	           'type/nums/num', 
0.00/0.23	           app_encode_app(app_encode_fun(X4, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(X4, 'type/nums/num'), 
0.00/0.23	               'type/nums/num'), 'const/iterate/nsum'(X4), X5), X6)
0.00/0.23	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X4), X5)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.23	tff('17', plain,
0.00/0.23	    (app_encode_app('type/nums/num', 'type/nums/num', 'const/nums/NUMERAL', 
0.00/0.23	       'const/nums/_0')
0.00/0.23	      != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	           'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	     | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	           'const/sets/FINITE'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1))
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    (app_encode_app('type/nums/num', 'type/nums/num', 'const/nums/NUMERAL', 
0.00/0.23	       'const/nums/_0')
0.00/0.23	      != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	           'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	     | ~ $true
0.00/0.23	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	         'type/nums/num', 
0.00/0.23	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', 
0.00/0.23	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	               sk_A0), sk_A1)), sk_A)
0.00/0.23	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	            'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('demod', [status(thm)], ['17', '4'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	      'type/nums/num', 
0.00/0.23	      app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.23	        app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.23	          'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.23	        app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.23	          app_encode_app('type/nums/num', 
0.00/0.23	            app_encode_fun('type/nums/num', 
0.00/0.23	              app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.23	            sk_A0), sk_A1)), sk_A)
0.00/0.23	     = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	         'const/nums/NUMERAL', 'const/nums/_0'),
0.00/0.23	    inference('simplify', [status(thm)], ['18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    (app_encode_app('type/nums/num', $o, 
0.00/0.23	       app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.23	         'const/arith/<=', sk_A21), sk_A1)
0.00/0.23	     | app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	         'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.23	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.23	             'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.23	    inference('demod', [status(thm)], ['0', '19'])).
0.00/0.23	tff('21', plain,
0.00/0.23	    app_encode_app('type/nums/num', $o, 
0.00/0.23	      app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.23	        'const/arith/<=', sk_A21), sk_A1),
0.00/0.23	    inference('simplify', [status(thm)], ['20'])).
0.00/0.23	tff('22', plain,
0.00/0.23	    ![X0 : 'type/nums/num', X2 : 'type/nums/num', X3 : 'type/nums/num']:
0.00/0.23	      (app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.23	         app_encode_app('type/nums/num', 
0.00/0.23	           app_encode_fun(app_encode_fun('type/nums/num', $o), $o), 
0.00/0.23	           'const/sets/IN'('type/nums/num'), X3), 
0.00/0.23	         app_encode_app('type/nums/num', 
0.00/0.23	           app_encode_fun('type/nums/num', $o), 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o)), 'const/iterate/..', X0), 
0.00/0.23	           X2))
0.00/0.23	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X3), 
0.00/0.23	             X2)
0.00/0.23	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.23	             app_encode_app('type/nums/num', 
0.00/0.23	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X0), 
0.00/0.23	             X3)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.23	tff('23', plain,
0.00/0.23	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), 
0.00/0.24	      X6 : app_encode_fun(X4, 'type/nums/num'), X7 : X4]:
0.00/0.24	      (app_encode_app(app_encode_fun(X4, 'type/nums/num'), 'type/nums/num', 
0.00/0.24	         app_encode_app(app_encode_fun(X4, $o), 
0.00/0.24	           app_encode_fun(app_encode_fun(X4, 'type/nums/num'), 
0.00/0.24	             'type/nums/num'), 'const/iterate/nsum'(X4), X5), X6)
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	       | app_encode_app(X4, 'type/nums/num', X6, X7)
0.00/0.24	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.24	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.24	               'const/sets/IN'(X4), X7), X5)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.24	             'const/sets/FINITE'(X4), X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
0.00/0.24	      (app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	         'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.24	             'const/sets/FINITE'('type/nums/num'), 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_app('type/nums/num', 
0.00/0.24	                 app_encode_fun('type/nums/num', 
0.00/0.24	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.24	                 sk_A0), sk_A1))
0.00/0.24	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun(app_encode_fun('type/nums/num', $o), $o), 
0.00/0.24	               'const/sets/IN'('type/nums/num'), X0), 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_app('type/nums/num', 
0.00/0.24	                 app_encode_fun('type/nums/num', 
0.00/0.24	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.24	                 sk_A0), sk_A1))
0.00/0.24	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, X0)
0.00/0.24	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('sup-', [status(thm)], ['19', '23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
0.00/0.24	      (app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	         'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	       | ~ $true
0.00/0.24	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun(app_encode_fun('type/nums/num', $o), $o), 
0.00/0.24	               'const/sets/IN'('type/nums/num'), X0), 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_app('type/nums/num', 
0.00/0.24	                 app_encode_fun('type/nums/num', 
0.00/0.24	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.24	                 sk_A0), sk_A1))
0.00/0.24	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, X0)
0.00/0.24	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('demod', [status(thm)], ['24', '4'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
0.00/0.24	      (app_encode_app('type/nums/num', 'type/nums/num', sk_A, X0)
0.00/0.24	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	       | ~ app_encode_app(app_encode_fun('type/nums/num', $o), $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun(app_encode_fun('type/nums/num', $o), $o), 
0.00/0.24	               'const/sets/IN'('type/nums/num'), X0), 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_app('type/nums/num', 
0.00/0.24	                 app_encode_fun('type/nums/num', 
0.00/0.24	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.24	                 sk_A0), sk_A1))),
0.00/0.24	    inference('simplify', [status(thm)], ['25'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', sk_A0), 
0.00/0.24	             X0)
0.00/0.24	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X0), 
0.00/0.24	             sk_A1)
0.00/0.24	       | app_encode_app('type/nums/num', 'type/nums/num', sk_A, X0)
0.00/0.24	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('sup-', [status(thm)], ['22', '26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
0.00/0.24	      (app_encode_app('type/nums/num', 'type/nums/num', sk_A, X0)
0.00/0.24	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X0), 
0.00/0.24	             sk_A1)
0.00/0.24	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', sk_A0), 
0.00/0.24	             X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app('type/nums/num', $o, 
0.00/0.24	           app_encode_app('type/nums/num', 
0.00/0.24	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', sk_A0), 
0.00/0.24	           sk_A21)
0.00/0.24	     | app_encode_app('type/nums/num', 'type/nums/num', sk_A, sk_A21)
0.00/0.24	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	            'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('sup-', [status(thm)], ['21', '28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    (app_encode_app('type/nums/num', $o, 
0.00/0.24	       app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.24	         'const/arith/<=', sk_A0), sk_A21)
0.00/0.24	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.24	         'type/nums/num', 
0.00/0.24	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.24	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.24	           app_encode_app('type/nums/num', 
0.00/0.24	             app_encode_fun('type/nums/num', $o), 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', 
0.00/0.24	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.24	               sk_A0), sk_A1)), sk_A)
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('31', plain,
0.00/0.24	    (app_encode_app('type/nums/num', $o, 
0.00/0.24	       app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.24	         'const/arith/<=', sk_A0), sk_A21)
0.00/0.24	     | app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	         'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('demod', [status(thm)], ['30', '19'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    app_encode_app('type/nums/num', $o, 
0.00/0.24	      app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.24	        'const/arith/<=', sk_A0), sk_A21),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app('type/nums/num', 'type/nums/num', sk_A, sk_A21)
0.00/0.24	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	            'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('demod', [status(thm)], ['29', '32'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    app_encode_app('type/nums/num', 'type/nums/num', sk_A, sk_A21)
0.00/0.24	     = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	         'const/nums/NUMERAL', 'const/nums/_0'),
0.00/0.24	    inference('simplify', [status(thm)], ['33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    (app_encode_app('type/nums/num', 'type/nums/num', sk_A, sk_A21)
0.00/0.24	      != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	           'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	     | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.24	         'type/nums/num', 
0.00/0.24	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.24	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.24	           app_encode_app('type/nums/num', 
0.00/0.24	             app_encode_fun('type/nums/num', $o), 
0.00/0.24	             app_encode_app('type/nums/num', 
0.00/0.24	               app_encode_fun('type/nums/num', 
0.00/0.24	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.24	               sk_A0), sk_A1)), sk_A)
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('36', plain,
0.00/0.24	    (app_encode_app('type/nums/num', 'type/nums/num', sk_A, sk_A21)
0.00/0.24	      != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	           'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	     | app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	         'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.24	        != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	             'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.24	    inference('demod', [status(thm)], ['35', '19'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    app_encode_app('type/nums/num', 'type/nums/num', sk_A, sk_A21)
0.00/0.24	     != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.24	          'const/nums/NUMERAL', 'const/nums/_0'),
0.00/0.24	    inference('simplify', [status(thm)], ['36'])).
0.00/0.24	tff('38', plain, $false,
0.00/0.24	    inference('simplify_reflect-', [status(thm)], ['34', '37'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
