0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.21	% Computer   : n130.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 18:40:09 CST 2018
0.00/0.23	% done 12 iterations in 0.016s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_13, axiom,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,'type/realax/real'),A1:app_encode_fun(A,$o)]:
0.00/0.24	     ((![A2:A]:
0.00/0.24	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                         app_encode_app(A,
0.00/0.24	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                       $o),
0.00/0.24	                                        'const/sets/IN'(A),A2),
0.00/0.24	                         A1) =>
0.00/0.24	          app_encode_app('type/realax/real',$o,
0.00/0.24	                         app_encode_app('type/realax/real',
0.00/0.24	                                        app_encode_fun('type/realax/real',$o),
0.00/0.24	                                        'const/realax/real_le',
0.00/0.24	                                        app_encode_app('type/nums/num',
0.00/0.24	                                                       'type/realax/real',
0.00/0.24	                                                       'const/realax/real_of_num',
0.00/0.24	                                                       app_encode_app(
0.00/0.24	                                                       'type/nums/num',
0.00/0.24	                                                       'type/nums/num',
0.00/0.24	                                                       'const/nums/NUMERAL',
0.00/0.24	                                                       'const/nums/_0'))),
0.00/0.24	                         app_encode_app(A,'type/realax/real',A0,A2)))) =>
0.00/0.24	      app_encode_app('type/realax/real',$o,
0.00/0.24	                     app_encode_app('type/realax/real',
0.00/0.24	                                    app_encode_fun('type/realax/real',$o),
0.00/0.24	                                    'const/realax/real_le',
0.00/0.24	                                    app_encode_app('type/nums/num',
0.00/0.24	                                                   'type/realax/real',
0.00/0.24	                                                   'const/realax/real_of_num',
0.00/0.24	                                                   app_encode_app('type/nums/num',
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  'const/nums/NUMERAL',
0.00/0.24	                                                                  'const/nums/_0'))),
0.00/0.24	                     app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.24	                                    'type/realax/real',
0.00/0.24	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                                   app_encode_fun(app_encode_fun(
0.00/0.24	                                                                  A,
0.00/0.24	                                                                  'type/realax/real'),
0.00/0.24	                                                                  'type/realax/real'),
0.00/0.24	                                                   'const/iterate/sum'(A),A1),
0.00/0.24	                                    A0))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), 
0.00/0.24	      X6 : app_encode_fun(X4, 'type/realax/real')]:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	             'const/realax/real_of_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(app_encode_fun(X4, 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun(X4, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(X4, 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'(X4), X5), X6))
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), $o), 
0.00/0.24	             'const/sets/IN'(X4), sk_A2(X4, X5, X6)), X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.24	tff(zf_stmt_14, axiom,
0.00/0.24	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.24	     (app_encode_app(app_encode_fun('type/nums/num',$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',
0.00/0.24	                                                                  $o),
0.00/0.24	                                                   $o),
0.00/0.24	                                    'const/sets/IN'('type/nums/num'),A1),
0.00/0.24	                     app_encode_app('type/nums/num',
0.00/0.24	                                    app_encode_fun('type/nums/num',$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(
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  $o)),
0.00/0.24	                                                   'const/iterate/..',A),
0.00/0.24	                                    A0)) <=>
0.00/0.24	      (app_encode_app('type/nums/num',$o,
0.00/0.24	                      app_encode_app('type/nums/num',
0.00/0.24	                                     app_encode_fun('type/nums/num',$o),
0.00/0.24	                                     'const/arith/<=',A),
0.00/0.24	                      A1) & 
0.00/0.24	       app_encode_app('type/nums/num',$o,
0.00/0.24	                      app_encode_app('type/nums/num',
0.00/0.24	                                     app_encode_fun('type/nums/num',$o),
0.00/0.24	                                     'const/arith/<=',A1),
0.00/0.24	                      A0))))).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X7 : 'type/nums/num', X8 : 'type/nums/num', X9 : 'type/nums/num']:
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/<=', X7), X8)
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'), X8), 
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	                 X7), X9))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.24	tff('2', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.24	      X2 : app_encode_fun('type/nums/num', 'type/realax/real')]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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)), 
0.00/0.24	                   'const/iterate/..', X1), X0)), X2))
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/<=', X1), 
0.00/0.24	           sk_A2('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	                 X1), X0), X2))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.24	      X2 : app_encode_fun('type/nums/num', 'type/realax/real')]:
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/<=', X1), 
0.00/0.24	         sk_A2('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	               X1), X0), X2))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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)), 
0.00/0.24	                   'const/iterate/..', X1), X0)), X2))),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X7 : 'type/nums/num', X8 : 'type/nums/num', X9 : 'type/nums/num']:
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/<=', X8), X9)
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'), X8), 
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	                 X7), X9))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.24	      X2 : app_encode_fun('type/nums/num', 'type/realax/real')]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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)), 
0.00/0.24	                   'const/iterate/..', X1), X0)), X2))
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/<=', 
0.00/0.24	             sk_A2('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)), 
0.00/0.24	                   'const/iterate/..', X1), X0), X2)), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', 
0.00/0.24	      X2 : app_encode_fun('type/nums/num', 'type/realax/real')]:
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/<=', 
0.00/0.24	           sk_A2('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	                 X1), X0), X2)), X0)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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', $o)), 
0.00/0.24	                   'const/iterate/..', X1), X0)), X2))),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff(zf_stmt_15, conjecture,
0.00/0.24	  (![A:'type/nums/num',A0:'type/nums/num',
0.00/0.24	     A1:app_encode_fun('type/nums/num','type/realax/real')]:
0.00/0.24	     ((![A2:'type/nums/num']:
0.00/0.24	         ((app_encode_app('type/nums/num',$o,
0.00/0.24	                          app_encode_app('type/nums/num',
0.00/0.24	                                         app_encode_fun('type/nums/num',$o),
0.00/0.24	                                         'const/arith/<=',A),
0.00/0.24	                          A2) & 
0.00/0.24	           app_encode_app('type/nums/num',$o,
0.00/0.24	                          app_encode_app('type/nums/num',
0.00/0.24	                                         app_encode_fun('type/nums/num',$o),
0.00/0.24	                                         'const/arith/<=',A2),
0.00/0.24	                          A0)) =>
0.00/0.24	          app_encode_app('type/realax/real',$o,
0.00/0.24	                         app_encode_app('type/realax/real',
0.00/0.24	                                        app_encode_fun('type/realax/real',$o),
0.00/0.24	                                        'const/realax/real_le',
0.00/0.24	                                        app_encode_app('type/nums/num',
0.00/0.24	                                                       'type/realax/real',
0.00/0.24	                                                       'const/realax/real_of_num',
0.00/0.24	                                                       app_encode_app(
0.00/0.24	                                                       'type/nums/num',
0.00/0.24	                                                       'type/nums/num',
0.00/0.24	                                                       'const/nums/NUMERAL',
0.00/0.24	                                                       'const/nums/_0'))),
0.00/0.24	                         app_encode_app('type/nums/num','type/realax/real',
0.00/0.24	                                        A1,A2)))) =>
0.00/0.24	      app_encode_app('type/realax/real',$o,
0.00/0.24	                     app_encode_app('type/realax/real',
0.00/0.24	                                    app_encode_fun('type/realax/real',$o),
0.00/0.24	                                    'const/realax/real_le',
0.00/0.24	                                    app_encode_app('type/nums/num',
0.00/0.24	                                                   'type/realax/real',
0.00/0.24	                                                   'const/realax/real_of_num',
0.00/0.24	                                                   app_encode_app('type/nums/num',
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  'const/nums/NUMERAL',
0.00/0.24	                                                                  'const/nums/_0'))),
0.00/0.24	                     app_encode_app(app_encode_fun('type/nums/num',
0.00/0.24	                                                   'type/realax/real'),
0.00/0.24	                                    'type/realax/real',
0.00/0.24	                                    app_encode_app(app_encode_fun('type/nums/num',
0.00/0.24	                                                                  $o),
0.00/0.24	                                                   app_encode_fun(app_encode_fun(
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  'type/realax/real'),
0.00/0.24	                                                                  'type/realax/real'),
0.00/0.24	                                                   'const/iterate/sum'(
0.00/0.24	                                                   'type/nums/num'),
0.00/0.24	                                                   app_encode_app('type/nums/num',
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  $o),
0.00/0.24	                                                                  app_encode_app(
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  'type/nums/num',
0.00/0.24	                                                                  $o)),
0.00/0.24	                                                                  'const/iterate/..',
0.00/0.24	                                                                  A),A0)),
0.00/0.24	                                    A1))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![A:'type/nums/num',A0:'type/nums/num',
0.00/0.24	       A1:app_encode_fun('type/nums/num','type/realax/real')]:
0.00/0.24	       ((![A2:'type/nums/num']:
0.00/0.24	           ((app_encode_app('type/nums/num',$o,
0.00/0.24	                            app_encode_app('type/nums/num',
0.00/0.24	                                           app_encode_fun('type/nums/num',$o),
0.00/0.24	                                           'const/arith/<=',A),
0.00/0.24	                            A2) & 
0.00/0.24	             app_encode_app('type/nums/num',$o,
0.00/0.24	                            app_encode_app('type/nums/num',
0.00/0.24	                                           app_encode_fun('type/nums/num',$o),
0.00/0.24	                                           'const/arith/<=',A2),
0.00/0.24	                            A0)) =>
0.00/0.24	            app_encode_app('type/realax/real',$o,
0.00/0.24	                           app_encode_app('type/realax/real',
0.00/0.24	                                          app_encode_fun('type/realax/real',
0.00/0.24	                                                         $o),
0.00/0.24	                                          'const/realax/real_le',
0.00/0.24	                                          app_encode_app('type/nums/num',
0.00/0.24	                                                         'type/realax/real',
0.00/0.24	                                                         'const/realax/real_of_num',
0.00/0.24	                                                         app_encode_app(
0.00/0.24	                                                         'type/nums/num',
0.00/0.24	                                                         'type/nums/num',
0.00/0.24	                                                         'const/nums/NUMERAL',
0.00/0.24	                                                         'const/nums/_0'))),
0.00/0.24	                           app_encode_app('type/nums/num','type/realax/real',
0.00/0.24	                                          A1,A2)))) =>
0.00/0.24	        app_encode_app('type/realax/real',$o,
0.00/0.24	                       app_encode_app('type/realax/real',
0.00/0.24	                                      app_encode_fun('type/realax/real',$o),
0.00/0.24	                                      'const/realax/real_le',
0.00/0.24	                                      app_encode_app('type/nums/num',
0.00/0.24	                                                     'type/realax/real',
0.00/0.24	                                                     'const/realax/real_of_num',
0.00/0.24	                                                     app_encode_app('type/nums/num',
0.00/0.24	                                                                    'type/nums/num',
0.00/0.24	                                                                    'const/nums/NUMERAL',
0.00/0.24	                                                                    'const/nums/_0'))),
0.00/0.24	                       app_encode_app(app_encode_fun('type/nums/num',
0.00/0.24	                                                     'type/realax/real'),
0.00/0.24	                                      'type/realax/real',
0.00/0.24	                                      app_encode_app(app_encode_fun('type/nums/num',
0.00/0.24	                                                                    $o),
0.00/0.24	                                                     app_encode_fun(app_encode_fun(
0.00/0.24	                                                                    'type/nums/num',
0.00/0.24	                                                                    'type/realax/real'),
0.00/0.24	                                                                    'type/realax/real'),
0.00/0.24	                                                     'const/iterate/sum'(
0.00/0.24	                                                     'type/nums/num'),
0.00/0.24	                                                     app_encode_app('type/nums/num',
0.00/0.24	                                                                    app_encode_fun(
0.00/0.24	                                                                    'type/nums/num',
0.00/0.24	                                                                    $o),
0.00/0.24	                                                                    app_encode_app(
0.00/0.24	                                                                    'type/nums/num',
0.00/0.24	                                                                    app_encode_fun(
0.00/0.24	                                                                    'type/nums/num',
0.00/0.24	                                                                    app_encode_fun(
0.00/0.24	                                                                    'type/nums/num',
0.00/0.24	                                                                    $o)),
0.00/0.24	                                                                    'const/iterate/..',
0.00/0.24	                                                                    A),A0)),
0.00/0.24	                                      A1)))))).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X11 : 'type/nums/num']:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	             'const/realax/real_of_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/realax/real', sk_A1, X11))
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/<=', X11), 
0.00/0.24	             sk_A0)
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_A), 
0.00/0.24	             X11)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), 
0.00/0.24	      X6 : app_encode_fun(X4, 'type/realax/real')]:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	             'const/realax/real_of_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(app_encode_fun(X4, 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun(X4, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(X4, 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'(X4), X5), X6))
0.00/0.24	       | ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	             app_encode_app('type/realax/real', 
0.00/0.24	               app_encode_fun('type/realax/real', $o), 
0.00/0.24	               'const/realax/real_le', 
0.00/0.24	               app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	                 'const/realax/real_of_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(X4, 'type/realax/real', X6, sk_A2(X4, X5, X6)))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/nums/num', $o)]:
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_A), 
0.00/0.24	             sk_A2('type/nums/num', X0, 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/<=', 
0.00/0.24	               sk_A2('type/nums/num', X0, sk_A1)), sk_A0)
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('type/nums/num'), 
0.00/0.24	               X0), sk_A1))),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : app_encode_fun('type/nums/num', $o)]:
0.00/0.24	      (app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	             'const/realax/real_of_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(app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	             app_encode_fun(
0.00/0.24	               app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'('type/nums/num'), 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/<=', 
0.00/0.24	               sk_A2('type/nums/num', X0, sk_A1)), sk_A0)
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_A), 
0.00/0.24	             sk_A2('type/nums/num', X0, sk_A1))),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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)), 
0.00/0.24	                   'const/iterate/..', X0), sk_A0)), 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_A), 
0.00/0.24	             sk_A2('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)), 
0.00/0.24	                   'const/iterate/..', X0), sk_A0), sk_A1))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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)), 
0.00/0.24	                   'const/iterate/..', X0), sk_A0)), sk_A1))),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '10'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : 'type/nums/num']:
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_A), 
0.00/0.24	           sk_A2('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	                 X0), sk_A0), sk_A1))
0.00/0.24	       | app_encode_app('type/realax/real', $o, 
0.00/0.24	           app_encode_app('type/realax/real', 
0.00/0.24	             app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	             app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	               'const/realax/real_of_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(
0.00/0.24	             app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	             'type/realax/real', 
0.00/0.24	             app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	               app_encode_fun(
0.00/0.24	                 app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	                 'type/realax/real'), 'const/iterate/sum'('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)), 
0.00/0.24	                   'const/iterate/..', X0), sk_A0)), sk_A1))),
0.00/0.24	    inference('simplify', [status(thm)], ['11'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	             'const/realax/real_of_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(app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	             app_encode_fun(
0.00/0.24	               app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'('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_A), sk_A0)), sk_A1))
0.00/0.24	     | app_encode_app('type/realax/real', $o, 
0.00/0.24	         app_encode_app('type/realax/real', 
0.00/0.24	           app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	           app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	             'const/realax/real_of_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(app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	             app_encode_fun(
0.00/0.24	               app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'('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_A), sk_A0)), sk_A1))),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    app_encode_app('type/realax/real', $o, 
0.00/0.24	      app_encode_app('type/realax/real', 
0.00/0.24	        app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	        app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	          'const/realax/real_of_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(app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	        'type/realax/real', 
0.00/0.24	        app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	          app_encode_fun(
0.00/0.24	            app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	            'type/realax/real'), 'const/iterate/sum'('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_A), sk_A0)), sk_A1)),
0.00/0.24	    inference('simplify', [status(thm)], ['13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    ~ app_encode_app('type/realax/real', $o, 
0.00/0.24	        app_encode_app('type/realax/real', 
0.00/0.24	          app_encode_fun('type/realax/real', $o), 'const/realax/real_le', 
0.00/0.24	          app_encode_app('type/nums/num', 'type/realax/real', 
0.00/0.24	            'const/realax/real_of_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(app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	          'type/realax/real', 
0.00/0.24	          app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.24	            app_encode_fun(
0.00/0.24	              app_encode_fun('type/nums/num', 'type/realax/real'), 
0.00/0.24	              'type/realax/real'), 'const/iterate/sum'('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_A), sk_A0)), sk_A1)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('16', plain, ~ $true, inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.24	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
