0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n044.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:45:09 CST 2018
0.00/0.25	% done 8 iterations in 0.051s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_12, axiom,
0.00/0.25	  (![A:$tType]:
0.00/0.25	     ('const/iterate/sum'(A) =
0.00/0.25	      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.25	                                    app_encode_fun('type/realax/real',
0.00/0.25	                                                   'type/realax/real')),
0.00/0.25	                     app_encode_fun(app_encode_fun(A,$o),
0.00/0.25	                                    app_encode_fun(app_encode_fun(A,
0.00/0.25	                                                                  'type/realax/real'),
0.00/0.25	                                                   'type/realax/real')),
0.00/0.25	                     'const/iterate/iterate'(A,'type/realax/real'),
0.00/0.25	                     'const/realax/real_add')))).
0.00/0.25	tff('0', plain,
0.00/0.25	    ![X6 : $tType]:
0.00/0.25	      'const/iterate/sum'(X6)
0.00/0.25	       = app_encode_app(
0.00/0.25	           app_encode_fun('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	           app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(X6, 'type/realax/real'), 
0.00/0.25	               'type/realax/real')), 
0.00/0.25	           'const/iterate/iterate'(X6, 'type/realax/real'), 
0.00/0.25	           'const/realax/real_add'),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.25	tff(zf_stmt_11, axiom,
0.00/0.25	  (app_encode_app(app_encode_fun('type/realax/real',
0.00/0.25	                                 app_encode_fun('type/realax/real',
0.00/0.25	                                                'type/realax/real')),
0.00/0.25	                  $o,'const/iterate/monoidal'('type/realax/real'),
0.00/0.25	                  'const/realax/real_add'))).
0.00/0.25	tff('1', plain,
0.00/0.25	    app_encode_app(
0.00/0.25	      app_encode_fun('type/realax/real', 
0.00/0.25	        app_encode_fun('type/realax/real', 'type/realax/real')), $o, 
0.00/0.25	      'const/iterate/monoidal'('type/realax/real'), 'const/realax/real_add'),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.25	tff(zf_stmt_10, axiom,
0.00/0.25	  (![A:$tType,A0:$tType,A1:app_encode_fun(A0,app_encode_fun(A0,A0))]:
0.00/0.25	     (app_encode_app(app_encode_fun(A0,app_encode_fun(A0,A0)),$o,
0.00/0.25	                     'const/iterate/monoidal'(A0),A1) =>
0.00/0.25	      (![A2:app_encode_fun(A,$o),A3:app_encode_fun(A,$o),
0.00/0.25	         A4:app_encode_fun(A,A0)]:
0.00/0.25	         ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A2) & 
0.00/0.25	           app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A3)) =>
0.00/0.25	          (app_encode_app(A0,A0,
0.00/0.25	                          app_encode_app(A0,app_encode_fun(A0,A0),A1,
0.00/0.25	                                         app_encode_app(app_encode_fun(A,A0),
0.00/0.25	                                                        A0,
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        A0,
0.00/0.25	                                                        app_encode_fun(A0,A0)),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0)),
0.00/0.25	                                                        'const/iterate/iterate'(
0.00/0.25	                                                        A,A0),A1),A2),A4)),
0.00/0.25	                          app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.25	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        A0,
0.00/0.25	                                                        app_encode_fun(A0,A0)),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0)),
0.00/0.25	                                                        'const/iterate/iterate'(
0.00/0.25	                                                        A,A0),A1),A3),
0.00/0.25	                                         A4)) =
0.00/0.25	           app_encode_app(A0,A0,
0.00/0.25	                          app_encode_app(A0,app_encode_fun(A0,A0),A1,
0.00/0.25	                                         app_encode_app(app_encode_fun(A,A0),
0.00/0.25	                                                        A0,
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        A0,
0.00/0.25	                                                        app_encode_fun(A0,A0)),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0)),
0.00/0.25	                                                        'const/iterate/iterate'(
0.00/0.25	                                                        A,A0),A1),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(A,$o)),
0.00/0.25	                                                        'const/sets/UNION'(A),
0.00/0.25	                                                        A2),A3)),A4)),
0.00/0.25	                          app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.25	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        A0,
0.00/0.25	                                                        app_encode_fun(A0,A0)),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A0),
0.00/0.25	                                                        A0)),
0.00/0.25	                                                        'const/iterate/iterate'(
0.00/0.25	                                                        A,A0),A1),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_app(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(A,$o)),
0.00/0.25	                                                        'const/sets/INTER'(A),
0.00/0.25	                                                        A2),A3)),
0.00/0.25	                                         A4)))))))).
0.00/0.25	tff('2', plain,
0.00/0.25	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.25	      X2 : $tType, X3 : app_encode_fun(X2, $o), X4 : app_encode_fun(X2, $o), 
0.00/0.25	      X5 : app_encode_fun(X2, X0)]:
0.00/0.25	      (app_encode_app(X0, X0, 
0.00/0.25	         app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.25	           app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.25	             app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.25	               app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.25	                   app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.25	                 'const/iterate/iterate'(X2, X0), X1), X3), X5)), 
0.00/0.25	         app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.25	           app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.25	             app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.25	               app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.25	               'const/iterate/iterate'(X2, X0), X1), X4), X5))
0.00/0.25	        = app_encode_app(X0, X0, 
0.00/0.25	            app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.25	              app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.25	                app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.25	                    'const/iterate/iterate'(X2, X0), X1), 
0.00/0.25	                  app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	                    app_encode_fun(X2, $o), 
0.00/0.25	                    app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.25	                        app_encode_fun(X2, $o)), 'const/sets/UNION'(X2), X3), 
0.00/0.25	                    X4)), X5)), 
0.00/0.25	            app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.25	              app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	                app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.25	                app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.25	                  'const/iterate/iterate'(X2, X0), X1), 
0.00/0.25	                app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	                  app_encode_fun(X2, $o), 
0.00/0.25	                  app_encode_app(app_encode_fun(X2, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.25	                      app_encode_fun(X2, $o)), 'const/sets/INTER'(X2), X3), 
0.00/0.25	                  X4)), X5))
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X2), X3)
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X2), X4)
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.25	             'const/iterate/monoidal'(X0), X1)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_10])).
0.00/0.25	tff('3', plain,
0.00/0.25	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.25	      X3 : app_encode_fun(X0, 'type/realax/real')]:
0.00/0.25	      (~ $true
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X1)
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X2)
0.00/0.25	       | app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	             'const/realax/real_add', 
0.00/0.25	             app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	               'type/realax/real', 
0.00/0.25	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                   'type/realax/real'), 
0.00/0.25	                 app_encode_app(
0.00/0.25	                   app_encode_fun('type/realax/real', 
0.00/0.25	                     app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                     app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                       'type/realax/real')), 
0.00/0.25	                   'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                   'const/realax/real_add'), X2), X3)), 
0.00/0.25	           app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	             'type/realax/real', 
0.00/0.25	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                 'type/realax/real'), 
0.00/0.25	               app_encode_app(
0.00/0.25	                 app_encode_fun('type/realax/real', 
0.00/0.25	                   app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                   app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                     'type/realax/real')), 
0.00/0.25	                 'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                 'const/realax/real_add'), X1), X3))
0.00/0.25	          = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	              app_encode_app('type/realax/real', 
0.00/0.25	                app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	                'const/realax/real_add', 
0.00/0.25	                app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                  'type/realax/real', 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                      'type/realax/real'), 
0.00/0.25	                    app_encode_app(
0.00/0.25	                      app_encode_fun('type/realax/real', 
0.00/0.25	                        app_encode_fun('type/realax/real', 
0.00/0.25	                          'type/realax/real')), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                        app_encode_fun(
0.00/0.25	                          app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                          'type/realax/real')), 
0.00/0.25	                      'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                      'const/realax/real_add'), 
0.00/0.25	                    app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                        app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                          app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), 
0.00/0.25	                        X2), X1)), X3)), 
0.00/0.25	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                'type/realax/real', 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                    'type/realax/real'), 
0.00/0.25	                  app_encode_app(
0.00/0.25	                    app_encode_fun('type/realax/real', 
0.00/0.25	                      app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                        'type/realax/real')), 
0.00/0.25	                    'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                    'const/realax/real_add'), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                        app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X2), 
0.00/0.25	                    X1)), X3))),
0.00/0.25	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.25	tff('4', plain,
0.00/0.25	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.25	      X3 : app_encode_fun(X0, 'type/realax/real')]:
0.00/0.25	      (app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	           'const/realax/real_add', 
0.00/0.25	           app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	             'type/realax/real', 
0.00/0.25	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                 'type/realax/real'), 
0.00/0.25	               app_encode_app(
0.00/0.25	                 app_encode_fun('type/realax/real', 
0.00/0.25	                   app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                   app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                     'type/realax/real')), 
0.00/0.25	                 'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                 'const/realax/real_add'), X2), X3)), 
0.00/0.25	         app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	           'type/realax/real', 
0.00/0.25	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	               'type/realax/real'), 
0.00/0.25	             app_encode_app(
0.00/0.25	               app_encode_fun('type/realax/real', 
0.00/0.25	                 app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                   'type/realax/real')), 
0.00/0.25	               'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	               'const/realax/real_add'), X1), X3))
0.00/0.25	        = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	            app_encode_app('type/realax/real', 
0.00/0.25	              app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	              'const/realax/real_add', 
0.00/0.25	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                'type/realax/real', 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                    'type/realax/real'), 
0.00/0.25	                  app_encode_app(
0.00/0.25	                    app_encode_fun('type/realax/real', 
0.00/0.25	                      app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                        'type/realax/real')), 
0.00/0.25	                    'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                    'const/realax/real_add'), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                        app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.25	                    X1)), X3)), 
0.00/0.25	            app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	              'type/realax/real', 
0.00/0.25	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                  'type/realax/real'), 
0.00/0.25	                app_encode_app(
0.00/0.25	                  app_encode_fun('type/realax/real', 
0.00/0.25	                    app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                      'type/realax/real')), 
0.00/0.25	                  'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                  'const/realax/real_add'), 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X2), 
0.00/0.25	                  X1)), X3))
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X2)
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X1)),
0.00/0.25	    inference('simplify', [status(thm)], ['3'])).
0.00/0.25	tff('5', plain,
0.00/0.25	    ![X0 : $tType, X1 : app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	      X2 : app_encode_fun(X0, $o), X3 : app_encode_fun(X0, $o)]:
0.00/0.25	      (app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	           'const/realax/real_add', 
0.00/0.25	           app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	             'type/realax/real', 
0.00/0.25	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                 'type/realax/real'), 
0.00/0.25	               app_encode_app(
0.00/0.25	                 app_encode_fun('type/realax/real', 
0.00/0.25	                   app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                   app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                     'type/realax/real')), 
0.00/0.25	                 'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                 'const/realax/real_add'), X3), X1)), 
0.00/0.25	         app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	           'type/realax/real', 
0.00/0.25	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	               'type/realax/real'), 
0.00/0.25	             app_encode_app(
0.00/0.25	               app_encode_fun('type/realax/real', 
0.00/0.25	                 app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                   'type/realax/real')), 
0.00/0.25	               'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	               'const/realax/real_add'), X2), X1))
0.00/0.25	        = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	            app_encode_app('type/realax/real', 
0.00/0.25	              app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	              'const/realax/real_add', 
0.00/0.25	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                'type/realax/real', 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                    'type/realax/real'), 'const/iterate/sum'(X0), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                        app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X3), 
0.00/0.25	                    X2)), X1)), 
0.00/0.25	            app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	              'type/realax/real', 
0.00/0.25	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                  'type/realax/real'), 
0.00/0.25	                app_encode_app(
0.00/0.25	                  app_encode_fun('type/realax/real', 
0.00/0.25	                    app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                      'type/realax/real')), 
0.00/0.25	                  'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                  'const/realax/real_add'), 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X3), 
0.00/0.25	                  X2)), X1))
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X2)
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X3)),
0.00/0.25	    inference('sup+', [status(thm)], ['0', '4'])).
0.00/0.25	tff('6', plain,
0.00/0.25	    ![X0 : $tType, X1 : app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	      X2 : app_encode_fun(X0, $o), X3 : app_encode_fun(X0, $o)]:
0.00/0.25	      (app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	         app_encode_app('type/realax/real', 
0.00/0.25	           app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	           'const/realax/real_add', 
0.00/0.25	           app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	             'type/realax/real', 
0.00/0.25	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                 'type/realax/real'), 
0.00/0.25	               app_encode_app(
0.00/0.25	                 app_encode_fun('type/realax/real', 
0.00/0.25	                   app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                   app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                     'type/realax/real')), 
0.00/0.25	                 'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	                 'const/realax/real_add'), X3), X1)), 
0.00/0.25	         app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	           'type/realax/real', 
0.00/0.25	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	               'type/realax/real'), 
0.00/0.25	             app_encode_app(
0.00/0.25	               app_encode_fun('type/realax/real', 
0.00/0.25	                 app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                   'type/realax/real')), 
0.00/0.25	               'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.25	               'const/realax/real_add'), X2), X1))
0.00/0.25	        = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	            app_encode_app('type/realax/real', 
0.00/0.25	              app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	              'const/realax/real_add', 
0.00/0.25	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                'type/realax/real', 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                    'type/realax/real'), 'const/iterate/sum'(X0), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                        app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X3), 
0.00/0.25	                    X2)), X1)), 
0.00/0.25	            app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	              'type/realax/real', 
0.00/0.25	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.25	                  'type/realax/real'), 'const/iterate/sum'(X0), 
0.00/0.25	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_fun(X0, $o), 
0.00/0.25	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.25	                      app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X3), 
0.00/0.25	                  X2)), X1))
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X3)
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X0), X2)),
0.00/0.25	    inference('sup+', [status(thm)], ['0', '5'])).
0.00/0.25	tff(zf_stmt_13, conjecture,
0.00/0.25	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.25	     A2:app_encode_fun(A,'type/realax/real')]:
0.00/0.25	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0) & 
0.00/0.25	       app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1)) =>
0.00/0.25	      (app_encode_app('type/realax/real','type/realax/real',
0.00/0.25	                      app_encode_app('type/realax/real',
0.00/0.25	                                     app_encode_fun('type/realax/real',
0.00/0.25	                                                    'type/realax/real'),
0.00/0.25	                                     'const/realax/real_add',
0.00/0.25	                                     app_encode_app(app_encode_fun(A,
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                    'type/realax/real',
0.00/0.25	                                                    app_encode_app(app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                                   'const/iterate/sum'(
0.00/0.25	                                                                   A),A0),
0.00/0.25	                                                    A2)),
0.00/0.25	                      app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.25	                                     'type/realax/real',
0.00/0.25	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                    app_encode_fun(app_encode_fun(
0.00/0.25	                                                                   A,
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                    'const/iterate/sum'(A),A1),
0.00/0.25	                                     A2)) =
0.00/0.25	       app_encode_app('type/realax/real','type/realax/real',
0.00/0.25	                      app_encode_app('type/realax/real',
0.00/0.25	                                     app_encode_fun('type/realax/real',
0.00/0.25	                                                    'type/realax/real'),
0.00/0.25	                                     'const/realax/real_add',
0.00/0.25	                                     app_encode_app(app_encode_fun(A,
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                    'type/realax/real',
0.00/0.25	                                                    app_encode_app(app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                                   'const/iterate/sum'(
0.00/0.25	                                                                   A),
0.00/0.25	                                                                   app_encode_app(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_app(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o)),
0.00/0.25	                                                                   'const/sets/UNION'(
0.00/0.25	                                                                   A),A0),A1)),
0.00/0.25	                                                    A2)),
0.00/0.25	                      app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.25	                                     'type/realax/real',
0.00/0.25	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                    app_encode_fun(app_encode_fun(
0.00/0.25	                                                                   A,
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                                   'type/realax/real'),
0.00/0.25	                                                    'const/iterate/sum'(A),
0.00/0.25	                                                    app_encode_app(app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_app(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o),
0.00/0.25	                                                                   app_encode_fun(
0.00/0.25	                                                                   A,$o)),
0.00/0.25	                                                                   'const/sets/INTER'(
0.00/0.25	                                                                   A),A0),A1)),
0.00/0.25	                                     A2)))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.25	       A2:app_encode_fun(A,'type/realax/real')]:
0.00/0.25	       ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0) & 
0.00/0.25	         app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1)) =>
0.00/0.25	        (app_encode_app('type/realax/real','type/realax/real',
0.00/0.25	                        app_encode_app('type/realax/real',
0.00/0.25	                                       app_encode_fun('type/realax/real',
0.00/0.25	                                                      'type/realax/real'),
0.00/0.25	                                       'const/realax/real_add',
0.00/0.25	                                       app_encode_app(app_encode_fun(
0.00/0.25	                                                      A,'type/realax/real'),
0.00/0.25	                                                      'type/realax/real',
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      A,'type/realax/real'),
0.00/0.25	                                                      'type/realax/real'),
0.00/0.25	                                                      'const/iterate/sum'(A),
0.00/0.25	                                                      A0),A2)),
0.00/0.25	                        app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.25	                                       'type/realax/real',
0.00/0.25	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      A,'type/realax/real'),
0.00/0.25	                                                      'type/realax/real'),
0.00/0.25	                                                      'const/iterate/sum'(A),
0.00/0.25	                                                      A1),
0.00/0.25	                                       A2)) =
0.00/0.25	         app_encode_app('type/realax/real','type/realax/real',
0.00/0.25	                        app_encode_app('type/realax/real',
0.00/0.25	                                       app_encode_fun('type/realax/real',
0.00/0.25	                                                      'type/realax/real'),
0.00/0.25	                                       'const/realax/real_add',
0.00/0.25	                                       app_encode_app(app_encode_fun(
0.00/0.25	                                                      A,'type/realax/real'),
0.00/0.25	                                                      'type/realax/real',
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      A,'type/realax/real'),
0.00/0.25	                                                      'type/realax/real'),
0.00/0.25	                                                      'const/iterate/sum'(A),
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(A,$o)),
0.00/0.25	                                                      'const/sets/UNION'(A),
0.00/0.25	                                                      A0),A1)),A2)),
0.00/0.25	                        app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.25	                                       'type/realax/real',
0.00/0.25	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      A,'type/realax/real'),
0.00/0.25	                                                      'type/realax/real'),
0.00/0.25	                                                      'const/iterate/sum'(A),
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_app(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(
0.00/0.25	                                                      app_encode_fun(A,$o),
0.00/0.25	                                                      app_encode_fun(A,$o)),
0.00/0.25	                                                      'const/sets/INTER'(A),
0.00/0.25	                                                      A0),A1)),
0.00/0.25	                                       A2))))))).
0.00/0.25	tff('7', plain,
0.00/0.25	    app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	      app_encode_app('type/realax/real', 
0.00/0.25	        app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	        'const/realax/real_add', 
0.00/0.25	        app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	          'type/realax/real', 
0.00/0.25	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	            app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	              'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A0), sk_A2)), 
0.00/0.25	      app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	        'type/realax/real', 
0.00/0.25	        app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	          app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	            'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), sk_A2))
0.00/0.25	     != app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	          app_encode_app('type/realax/real', 
0.00/0.25	            app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	            'const/realax/real_add', 
0.00/0.25	            app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	              'type/realax/real', 
0.00/0.25	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                  'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.25	                app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                  app_encode_fun(sk_A, $o), 
0.00/0.25	                  app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                    app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.25	                      app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), 
0.00/0.25	                    sk_A0), sk_A1)), sk_A2)), 
0.00/0.25	          app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	            'type/realax/real', 
0.00/0.25	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	              app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.25	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                app_encode_fun(sk_A, $o), 
0.00/0.25	                app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                  app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.25	                    app_encode_fun(sk_A, $o)), 'const/sets/INTER'(sk_A), 
0.00/0.25	                  sk_A0), sk_A1)), sk_A2)),
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/realax/real', 'type/realax/real', 
0.00/0.25	       app_encode_app('type/realax/real', 
0.00/0.25	         app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	         'const/realax/real_add', 
0.00/0.25	         app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	           'type/realax/real', 
0.00/0.25	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	               'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A0), sk_A2)), 
0.00/0.25	       app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	         'type/realax/real', 
0.00/0.25	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	           app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	             'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), sk_A2))
0.00/0.25	      != app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	             'const/realax/real_add', 
0.00/0.25	             app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	               'type/realax/real', 
0.00/0.25	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                   'type/realax/real'), 
0.00/0.25	                 app_encode_app(
0.00/0.25	                   app_encode_fun('type/realax/real', 
0.00/0.25	                     app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                   app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.25	                     app_encode_fun(
0.00/0.25	                       app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                       'type/realax/real')), 
0.00/0.25	                   'const/iterate/iterate'(sk_A, 'type/realax/real'), 
0.00/0.25	                   'const/realax/real_add'), sk_A0), sk_A2)), 
0.00/0.25	           app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	             'type/realax/real', 
0.00/0.25	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                 'type/realax/real'), 
0.00/0.25	               app_encode_app(
0.00/0.25	                 app_encode_fun('type/realax/real', 
0.00/0.25	                   app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.25	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.25	                   app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                     'type/realax/real')), 
0.00/0.25	                 'const/iterate/iterate'(sk_A, 'type/realax/real'), 
0.00/0.25	                 'const/realax/real_add'), sk_A1), sk_A2))
0.00/0.25	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.25	           'const/sets/FINITE'(sk_A), sk_A1)
0.00/0.25	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.25	           'const/sets/FINITE'(sk_A), sk_A0)),
0.00/0.25	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.25	tff('9', plain,
0.00/0.25	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.25	      sk_A1),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('10', plain,
0.00/0.25	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.25	      sk_A0),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff('11', plain,
0.00/0.25	    (app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	       app_encode_app('type/realax/real', 
0.00/0.25	         app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	         'const/realax/real_add', 
0.00/0.25	         app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	           'type/realax/real', 
0.00/0.25	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	               'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A0), sk_A2)), 
0.00/0.25	       app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	         'type/realax/real', 
0.00/0.25	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	           app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	             'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), sk_A2))
0.00/0.25	      != app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.25	           app_encode_app('type/realax/real', 
0.00/0.25	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.25	             'const/realax/real_add', 
0.00/0.25	             app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	               'type/realax/real', 
0.00/0.25	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	                 app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                   'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A0), 
0.00/0.25	               sk_A2)), 
0.00/0.25	           app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	             'type/realax/real', 
0.00/0.25	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.25	               app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.25	                 'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), 
0.00/0.25	             sk_A2))
0.00/0.25	     | ~ $true
0.00/0.25	     | ~ $true),
0.00/0.25	    inference('demod', [status(thm)], ['8', '0', '0', '9', '10'])).
0.00/0.25	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
0.00/0.25	
0.00/0.25	% SZS output end Refutation
0.00/0.25	EOF
