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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n142.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:43:09 CST 2018
0.00/0.25	% done 41 iterations in 0.051s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_14, axiom,
0.00/0.25	  (![A:app_encode_fun('type/nums/num','type/nums/num'),A0:'type/nums/num',
0.00/0.25	     A1:'type/nums/num']:
0.00/0.25	     ((![A2:'type/nums/num']:
0.00/0.25	         ((app_encode_app('type/nums/num',$o,
0.00/0.25	                          app_encode_app('type/nums/num',
0.00/0.25	                                         app_encode_fun('type/nums/num',$o),
0.00/0.25	                                         'const/arith/<=',A0),
0.00/0.25	                          A2) & 
0.00/0.25	           app_encode_app('type/nums/num',$o,
0.00/0.25	                          app_encode_app('type/nums/num',
0.00/0.25	                                         app_encode_fun('type/nums/num',$o),
0.00/0.25	                                         'const/arith/<=',A2),
0.00/0.25	                          A1)) =>
0.00/0.25	          (app_encode_app('type/nums/num','type/nums/num',A,A2) =
0.00/0.25	           app_encode_app('type/nums/num','type/nums/num',
0.00/0.25	                          'const/nums/NUMERAL','const/nums/_0')))) =>
0.00/0.25	      (app_encode_app(app_encode_fun('type/nums/num','type/nums/num'),
0.00/0.25	                      'type/nums/num',
0.00/0.25	                      app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.25	                                     app_encode_fun(app_encode_fun('type/nums/num',
0.00/0.25	                                                                   'type/nums/num'),
0.00/0.25	                                                    'type/nums/num'),
0.00/0.25	                                     'const/iterate/nsum'('type/nums/num'),
0.00/0.25	                                     app_encode_app('type/nums/num',
0.00/0.25	                                                    app_encode_fun('type/nums/num',
0.00/0.25	                                                                   $o),
0.00/0.25	                                                    app_encode_app('type/nums/num',
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   'type/nums/num',
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   'type/nums/num',
0.00/0.25	                                                                   $o)),
0.00/0.25	                                                                   'const/iterate/..',
0.00/0.25	                                                                   A0),
0.00/0.25	                                                    A1)),
0.00/0.25	                      A) =
0.00/0.25	       app_encode_app('type/nums/num','type/nums/num','const/nums/NUMERAL',
0.00/0.25	                      'const/nums/_0'))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    ![X12 : 'type/nums/num', X13 : 'type/nums/num', 
0.00/0.25	      X14 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.25	      (app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	         'type/nums/num', 
0.00/0.25	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	               X12), X13)), X14)
0.00/0.25	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.25	       | app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.25	             sk_A2(X13, X12, X14)), X13)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.25	tff('1', plain,
0.00/0.25	    ![X12 : 'type/nums/num', X13 : 'type/nums/num', 
0.00/0.25	      X14 : app_encode_fun('type/nums/num', 'type/nums/num')]:
0.00/0.25	      (app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	         'type/nums/num', 
0.00/0.25	         app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	           app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	             'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	               X12), X13)), X14)
0.00/0.25	        = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	            'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.25	       | app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X12), 
0.00/0.25	           sk_A2(X13, X12, X14))),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.25	tff(zf_stmt_13, axiom,
0.00/0.25	  (![A:'type/nums/num',A0:'type/nums/num',A1:'type/nums/num']:
0.00/0.25	     ((app_encode_app('type/nums/num',$o,
0.00/0.25	                      app_encode_app('type/nums/num',
0.00/0.25	                                     app_encode_fun('type/nums/num',$o),
0.00/0.25	                                     'const/arith/<=',A),
0.00/0.25	                      A0) & 
0.00/0.25	       app_encode_app('type/nums/num',$o,
0.00/0.25	                      app_encode_app('type/nums/num',
0.00/0.25	                                     app_encode_fun('type/nums/num',$o),
0.00/0.25	                                     'const/arith/<=',A0),
0.00/0.25	                      A1)) =>
0.00/0.25	      app_encode_app('type/nums/num',$o,
0.00/0.25	                     app_encode_app('type/nums/num',
0.00/0.25	                                    app_encode_fun('type/nums/num',$o),
0.00/0.25	                                    'const/arith/<=',A),
0.00/0.25	                     A1)))).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X9 : 'type/nums/num', X10 : 'type/nums/num', X11 : 'type/nums/num']:
0.00/0.25	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X9), X10)
0.00/0.25	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X10), 
0.00/0.25	             X11)
0.00/0.25	       | app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X9), X11)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.25	tff('3', plain,
0.00/0.25	    ![X0 : app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	      X1 : 'type/nums/num', X2 : 'type/nums/num', X3 : 'type/nums/num']:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	           'type/nums/num', 
0.00/0.25	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_fun(
0.00/0.25	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 
0.00/0.25	               app_encode_app('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', 
0.00/0.25	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	                 X1), X2)), X0)
0.00/0.25	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.25	       | app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X1), X3)
0.00/0.25	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.25	               sk_A2(X2, X1, X0)), X3)),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X0 : app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	      X1 : 'type/nums/num', X2 : 'type/nums/num', X3 : 'type/nums/num']:
0.00/0.25	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.25	             sk_A2(X2, X1, X0)), X3)
0.00/0.25	       | app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X1), X3)
0.00/0.25	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	           'type/nums/num', 
0.00/0.25	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_fun(
0.00/0.25	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 
0.00/0.25	               app_encode_app('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', 
0.00/0.25	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	                 X1), X2)), X0)
0.00/0.25	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.25	    inference('simplify', [status(thm)], ['3'])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X0 : 'type/nums/num', 
0.00/0.25	      X1 : app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	      X2 : 'type/nums/num']:
0.00/0.25	      (~ $true
0.00/0.25	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	           'type/nums/num', 
0.00/0.25	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_fun(
0.00/0.25	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 
0.00/0.25	               app_encode_app('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', 
0.00/0.25	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	                 X2), X0)), X1)
0.00/0.25	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.25	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	           'type/nums/num', 
0.00/0.25	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_fun(
0.00/0.25	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 
0.00/0.25	               app_encode_app('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', 
0.00/0.25	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	                 X2), X0)), X1)
0.00/0.25	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	              'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.25	       | app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', X2), X0)),
0.00/0.25	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0 : 'type/nums/num', 
0.00/0.25	      X1 : app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	      X2 : 'type/nums/num']:
0.00/0.25	      (app_encode_app('type/nums/num', $o, 
0.00/0.25	         app_encode_app('type/nums/num', 
0.00/0.25	           app_encode_fun('type/nums/num', $o), 'const/arith/<=', X2), X0)
0.00/0.25	       | app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	           'type/nums/num', 
0.00/0.25	           app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	             app_encode_fun(
0.00/0.25	               app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	               'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 
0.00/0.25	               app_encode_app('type/nums/num', 
0.00/0.25	                 app_encode_fun('type/nums/num', 
0.00/0.25	                   app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	                 X2), X0)), X1)
0.00/0.25	          = app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	              'const/nums/NUMERAL', 'const/nums/_0')),
0.00/0.25	    inference('simplify', [status(thm)], ['5'])).
0.00/0.25	tff(zf_stmt_15, conjecture,
0.00/0.25	  (![A:app_encode_fun('type/nums/num','type/nums/num'),A0:'type/nums/num',
0.00/0.25	     A1:'type/nums/num']:
0.00/0.25	     (app_encode_app('type/nums/num',$o,
0.00/0.25	                     app_encode_app('type/nums/num',
0.00/0.25	                                    app_encode_fun('type/nums/num',$o),
0.00/0.25	                                    'const/arith/<',A1),
0.00/0.25	                     A0) =>
0.00/0.25	      (app_encode_app(app_encode_fun('type/nums/num','type/nums/num'),
0.00/0.25	                      'type/nums/num',
0.00/0.25	                      app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.25	                                     app_encode_fun(app_encode_fun('type/nums/num',
0.00/0.25	                                                                   'type/nums/num'),
0.00/0.25	                                                    'type/nums/num'),
0.00/0.25	                                     'const/iterate/nsum'('type/nums/num'),
0.00/0.25	                                     app_encode_app('type/nums/num',
0.00/0.25	                                                    app_encode_fun('type/nums/num',
0.00/0.25	                                                                   $o),
0.00/0.25	                                                    app_encode_app('type/nums/num',
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   'type/nums/num',
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   'type/nums/num',
0.00/0.25	                                                                   $o)),
0.00/0.25	                                                                   'const/iterate/..',
0.00/0.25	                                                                   A0),
0.00/0.25	                                                    A1)),
0.00/0.25	                      A) =
0.00/0.25	       app_encode_app('type/nums/num','type/nums/num','const/nums/NUMERAL',
0.00/0.25	                      'const/nums/_0'))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (![A:app_encode_fun('type/nums/num','type/nums/num'),A0:'type/nums/num',
0.00/0.25	       A1:'type/nums/num']:
0.00/0.25	       (app_encode_app('type/nums/num',$o,
0.00/0.25	                       app_encode_app('type/nums/num',
0.00/0.25	                                      app_encode_fun('type/nums/num',$o),
0.00/0.25	                                      'const/arith/<',A1),
0.00/0.25	                       A0) =>
0.00/0.25	        (app_encode_app(app_encode_fun('type/nums/num','type/nums/num'),
0.00/0.25	                        'type/nums/num',
0.00/0.25	                        app_encode_app(app_encode_fun('type/nums/num',$o),
0.00/0.25	                                       app_encode_fun(app_encode_fun(
0.00/0.25	                                                      'type/nums/num',
0.00/0.25	                                                      'type/nums/num'),
0.00/0.25	                                                      'type/nums/num'),
0.00/0.25	                                       'const/iterate/nsum'('type/nums/num'),
0.00/0.25	                                       app_encode_app('type/nums/num',
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      'type/nums/num',$o),
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      'type/nums/num',
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      'type/nums/num',
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      'type/nums/num',$o)),
0.00/0.25	                                                      'const/iterate/..',A0),
0.00/0.25	                                                      A1)),
0.00/0.25	                        A) =
0.00/0.25	         app_encode_app('type/nums/num','type/nums/num','const/nums/NUMERAL',
0.00/0.25	                        'const/nums/_0')))))).
0.00/0.25	tff('7', plain,
0.00/0.25	    app_encode_app(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	      'type/nums/num', 
0.00/0.25	      app_encode_app(app_encode_fun('type/nums/num', $o), 
0.00/0.25	        app_encode_fun(app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.25	          'type/nums/num'), 'const/iterate/nsum'('type/nums/num'), 
0.00/0.25	        app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.25	          app_encode_app('type/nums/num', 
0.00/0.25	            app_encode_fun('type/nums/num', 
0.00/0.25	              app_encode_fun('type/nums/num', $o)), 'const/iterate/..', 
0.00/0.25	            sk_A0), sk_A1)), sk_A)
0.00/0.25	     != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	          'const/nums/NUMERAL', 'const/nums/_0'),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('8', plain,
0.00/0.25	    (app_encode_app('type/nums/num', 'type/nums/num', 'const/nums/NUMERAL', 
0.00/0.25	       'const/nums/_0')
0.00/0.25	      != app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.25	           'const/nums/NUMERAL', 'const/nums/_0')
0.00/0.25	     | app_encode_app('type/nums/num', $o, 
0.00/0.25	         app_encode_app('type/nums/num', 
0.00/0.25	           app_encode_fun('type/nums/num', $o), 'const/arith/<=', sk_A0), 
0.00/0.25	         sk_A1)),
0.00/0.25	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    app_encode_app('type/nums/num', $o, 
0.00/0.25	      app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.25	        'const/arith/<=', sk_A0), sk_A1),
0.00/0.25	    inference('simplify', [status(thm)], ['8'])).
0.00/0.25	tff('10', plain,
0.00/0.25	    app_encode_app('type/nums/num', $o, 
0.00/0.25	      app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.25	        'const/arith/<', sk_A1), sk_A0),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff(zf_stmt_12, axiom,
0.00/0.25	  (![A:'type/nums/num',A0:'type/nums/num']:
0.00/0.25	     ((~
0.00/0.25	        app_encode_app('type/nums/num',$o,
0.00/0.25	                       app_encode_app('type/nums/num',
0.00/0.25	                                      app_encode_fun('type/nums/num',$o),
0.00/0.25	                                      'const/arith/<',A),
0.00/0.25	                       A0)) <=>
0.00/0.25	      app_encode_app('type/nums/num',$o,
0.00/0.25	                     app_encode_app('type/nums/num',
0.00/0.25	                                    app_encode_fun('type/nums/num',$o),
0.00/0.25	                                    'const/arith/<=',A0),
0.00/0.25	                     A)))).
0.00/0.25	tff('11', plain,
0.00/0.25	    ![X7 : 'type/nums/num', X8 : 'type/nums/num']:
0.00/0.25	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<', X7), X8)
0.00/0.25	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.25	             app_encode_app('type/nums/num', 
0.00/0.25	               app_encode_fun('type/nums/num', $o), 'const/arith/<=', X8), 
0.00/0.25	             X7)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.25	tff('12', plain,
0.00/0.25	    (~ $true
0.00/0.25	     | ~ app_encode_app('type/nums/num', $o, 
0.00/0.25	           app_encode_app('type/nums/num', 
0.00/0.25	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', sk_A0), 
0.00/0.25	           sk_A1)),
0.00/0.25	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.25	tff('13', plain,
0.00/0.25	    ~ app_encode_app('type/nums/num', $o, 
0.00/0.25	        app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.25	          'const/arith/<=', sk_A0), sk_A1),
0.00/0.25	    inference('simplify', [status(thm)], ['12'])).
0.00/0.25	tff('14', plain, ~ $true, inference('sup-', [status(thm)], ['9', '13'])).
0.00/0.25	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
