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    : kbo
0.00/0.00	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n037.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:44:39 CST 2018
0.00/0.24	% done 44 iterations in 0.030s
0.00/0.24	% SZS status Theorem for 'stdin'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_15, axiom,
0.00/0.24	  (![A:app_encode_fun('type/nums/num','type/realax/real'),A0:'type/nums/num',
0.00/0.24	     A1:'type/nums/num']:
0.00/0.24	     ((![A2:'type/nums/num']:
0.00/0.24	         ((app_encode_app('type/nums/num',$o,
0.00/0.24	                          app_encode_app('type/nums/num',
0.00/0.24	                                         app_encode_fun('type/nums/num',$o),
0.00/0.24	                                         'const/arith/<=',A0),
0.00/0.24	                          A2) & 
0.00/0.24	           app_encode_app('type/nums/num',$o,
0.00/0.24	                          app_encode_app('type/nums/num',
0.00/0.24	                                         app_encode_fun('type/nums/num',$o),
0.00/0.24	                                         'const/arith/<=',A2),
0.00/0.24	                          A1)) =>
0.00/0.24	          (app_encode_app('type/nums/num','type/realax/real',A,A2) =
0.00/0.24	           app_encode_app('type/nums/num','type/realax/real',
0.00/0.24	                          'const/realax/real_of_num',
0.00/0.24	                          app_encode_app('type/nums/num','type/nums/num',
0.00/0.24	                                         'const/nums/NUMERAL','const/nums/_0'))))) =>
0.00/0.24	      (app_encode_app(app_encode_fun('type/nums/num','type/realax/real'),
0.00/0.24	                      'type/realax/real',
0.00/0.24	                      app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.24	                                     app_encode_fun(app_encode_fun('type/nums/num',
0.00/0.24	                                                                   'type/realax/real'),
0.00/0.24	                                                    'type/realax/real'),
0.00/0.24	                                     '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',
0.00/0.24	                                                                   $o),
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	                                                                   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	                                                                   A0),
0.00/0.24	                                                    A1)),
0.00/0.24	                      A) =
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	tff('0', plain,
0.00/0.24	    ![X8 : 'type/nums/num', X9 : 'type/nums/num', 
0.00/0.24	      X10 : app_encode_fun('type/nums/num', 'type/realax/real')]:
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	               X8), X9)), X10)
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', $o, 
0.00/0.24	           app_encode_app('type/nums/num', 
0.00/0.24	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X8), 
0.00/0.24	           sk_A2(X9, X8, X10))),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.24	tff(zf_stmt_16, conjecture,
0.00/0.24	  (![A:app_encode_fun('type/nums/num','type/realax/real'),A0:'type/nums/num',
0.00/0.24	     A1:'type/nums/num']:
0.00/0.24	     (app_encode_app('type/nums/num',$o,
0.00/0.24	                     app_encode_app('type/nums/num',
0.00/0.24	                                    app_encode_fun('type/nums/num',$o),
0.00/0.24	                                    'const/arith/<',A1),
0.00/0.24	                     A0) =>
0.00/0.24	      (app_encode_app(app_encode_fun('type/nums/num','type/realax/real'),
0.00/0.24	                      'type/realax/real',
0.00/0.24	                      app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.24	                                     app_encode_fun(app_encode_fun('type/nums/num',
0.00/0.24	                                                                   'type/realax/real'),
0.00/0.24	                                                    'type/realax/real'),
0.00/0.24	                                     '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',
0.00/0.24	                                                                   $o),
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	                                                                   app_encode_fun(
0.00/0.24	                                                                   'type/nums/num',
0.00/0.24	                                                                   $o)),
0.00/0.24	                                                                   'const/iterate/..',
0.00/0.24	                                                                   A0),
0.00/0.24	                                                    A1)),
0.00/0.24	                      A) =
0.00/0.24	       app_encode_app('type/nums/num','type/realax/real',
0.00/0.24	                      'const/realax/real_of_num',
0.00/0.24	                      app_encode_app('type/nums/num','type/nums/num',
0.00/0.24	                                     'const/nums/NUMERAL','const/nums/_0')))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![A:app_encode_fun('type/nums/num','type/realax/real'),
0.00/0.24	       A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.24	       (app_encode_app('type/nums/num',$o,
0.00/0.24	                       app_encode_app('type/nums/num',
0.00/0.24	                                      app_encode_fun('type/nums/num',$o),
0.00/0.24	                                      'const/arith/<',A1),
0.00/0.24	                       A0) =>
0.00/0.24	        (app_encode_app(app_encode_fun('type/nums/num','type/realax/real'),
0.00/0.24	                        'type/realax/real',
0.00/0.24	                        app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.24	                                       app_encode_fun(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'('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',$o),
0.00/0.24	                                                      app_encode_app(
0.00/0.24	                                                      'type/nums/num',
0.00/0.24	                                                      app_encode_fun(
0.00/0.24	                                                      'type/nums/num',
0.00/0.24	                                                      app_encode_fun(
0.00/0.24	                                                      'type/nums/num',$o)),
0.00/0.24	                                                      'const/iterate/..',A0),
0.00/0.24	                                                      A1)),
0.00/0.24	                        A) =
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	tff('1', plain,
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(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', 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/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	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain,
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', 
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', $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_A2(sk_A1, sk_A0, sk_A))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', 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_A2(sk_A1, sk_A0, sk_A)),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X8 : 'type/nums/num', X9 : 'type/nums/num', 
0.00/0.24	      X10 : app_encode_fun('type/nums/num', 'type/realax/real')]:
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	               X8), X9)), X10)
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', $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(X9, X8, X10)), X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.24	tff('5', plain,
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', 
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', $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(sk_A1, sk_A0, sk_A)), sk_A1)),
0.00/0.24	    inference('sup-', [status(thm)], ['4', '1'])).
0.00/0.24	tff('6', 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', $o), 
0.00/0.24	        'const/arith/<=', sk_A2(sk_A1, sk_A0, sk_A)), sk_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff(zf_stmt_13, axiom,
0.00/0.24	  (![A:'type/nums/num',A0:'type/nums/num']:
0.00/0.24	     ((~
0.00/0.24	        app_encode_app('type/nums/num',$o,
0.00/0.24	                       app_encode_app('type/nums/num',
0.00/0.24	                                      app_encode_fun('type/nums/num',$o),
0.00/0.24	                                      'const/arith/<',A),
0.00/0.24	                       A0)) <=>
0.00/0.24	      app_encode_app('type/nums/num',$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/<=',A0),
0.00/0.24	                     A)))).
0.00/0.24	tff('7', plain,
0.00/0.24	    ![X2 : 'type/nums/num', X3 : '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/<=', X2), X3)
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', $o), 'const/arith/<', X3), X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.24	tff(zf_stmt_14, axiom,
0.00/0.24	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.24	     ((app_encode_app('type/nums/num',$o,
0.00/0.24	                      app_encode_app('type/nums/num',
0.00/0.24	                                     app_encode_fun('type/nums/num',$o),
0.00/0.24	                                     'const/arith/<=',A),
0.00/0.24	                      A0) & 
0.00/0.24	       app_encode_app('type/nums/num',$o,
0.00/0.24	                      app_encode_app('type/nums/num',
0.00/0.24	                                     app_encode_fun('type/nums/num',$o),
0.00/0.24	                                     'const/arith/<=',A0),
0.00/0.24	                      A1)) =>
0.00/0.24	      app_encode_app('type/nums/num',$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/<=',A),
0.00/0.24	                     A1)))).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X5 : 'type/nums/num', X6 : 'type/nums/num', X7 : '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/<=', X5), X6)
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/<=', X6), 
0.00/0.24	             X7)
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/<=', X5), X7)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', X2 : '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/<', X0), X1)
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), 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/<=', X0), 
0.00/0.24	             X2)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '8'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', X2 : '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/<=', 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), 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/<', X0), X1)),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', X2 : '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/<', X0), X1)
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), 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/<=', X2), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '10'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    ![X0 : 'type/nums/num', X1 : 'type/nums/num', X2 : '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/<=', X2), 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/<', X1), 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/<', X0), X1)),
0.00/0.24	    inference('simplify', [status(thm)], ['11'])).
0.00/0.24	tff('13', 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_A1), sk_A0),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('14', plain,
0.00/0.24	    ![X3 : 'type/nums/num', X4 : '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/<', X3), X4)
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/<=', X4), 
0.00/0.24	             X3)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.24	tff('15', 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_A1)),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.24	tff('16', 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_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['15'])).
0.00/0.24	tff('17', 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_A1), 
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_A0)),
0.00/0.24	    inference('sup-', [status(thm)], ['12', '16'])).
0.00/0.24	tff('18', 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/<', X0), 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_A1), 
0.00/0.24	           X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['17'])).
0.00/0.24	tff('19', 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_A1), 
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/<=', sk_A0), 
0.00/0.24	             X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '14'])).
0.00/0.24	tff('20', 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_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/<', sk_A1), 
0.00/0.24	           X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['19'])).
0.00/0.24	tff('21', 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	    inference('sup-', [status(thm)], ['20', '14'])).
0.00/0.24	tff('22', 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/<=', 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)], ['21'])).
0.00/0.24	tff('23', 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_A2(sk_A1, sk_A0, sk_A))),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '22'])).
0.00/0.24	tff('24', 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_A2(sk_A1, sk_A0, sk_A)),
0.00/0.24	    inference('simplify', [status(thm)], ['23'])).
0.00/0.24	tff('25', plain, ~ $true, inference('sup-', [status(thm)], ['3', '24'])).
0.00/0.24	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
