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    : kbo
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n069.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:43:24 CST 2018
0.00/0.23	% done 8 iterations in 0.030s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_11, axiom,
0.00/0.23	  (![A:$tType]:
0.00/0.23	     ('const/iterate/sum'(A) =
0.00/0.23	      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.23	                                    app_encode_fun('type/realax/real',
0.00/0.23	                                                   'type/realax/real')),
0.00/0.23	                     app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                    app_encode_fun(app_encode_fun(A,
0.00/0.23	                                                                  'type/realax/real'),
0.00/0.23	                                                   'type/realax/real')),
0.00/0.23	                     'const/iterate/iterate'(A,'type/realax/real'),
0.00/0.23	                     'const/realax/real_add')))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X4 : $tType]:
0.00/0.23	      'const/iterate/sum'(X4)
0.00/0.23	       = app_encode_app(
0.00/0.23	           app_encode_fun('type/realax/real', 
0.00/0.23	             app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.23	           app_encode_fun(app_encode_fun(X4, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(X4, 'type/realax/real'), 
0.00/0.23	               'type/realax/real')), 
0.00/0.23	           'const/iterate/iterate'(X4, 'type/realax/real'), 
0.00/0.23	           'const/realax/real_add'),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.23	tff(zf_stmt_12, axiom,
0.00/0.23	  (![A:$tType,A0:$tType,A1:app_encode_fun(A0,app_encode_fun(A0,A0))]:
0.00/0.23	     (app_encode_app(app_encode_fun(A0,app_encode_fun(A0,A0)),$o,
0.00/0.23	                     'const/iterate/monoidal'(A0),A1) =>
0.00/0.23	      (![A2:app_encode_fun(A,A0),A3:app_encode_fun(A,$o),
0.00/0.23	         A4:app_encode_fun(A,$o)]:
0.00/0.23	         ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A3) & 
0.00/0.23	           app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A4) & 
0.00/0.23	           app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                        $o),
0.00/0.23	                                         'const/sets/DISJOINT'(A),A3),
0.00/0.23	                          A4)) =>
0.00/0.23	          (app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.23	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                         app_encode_fun(app_encode_fun(A,A0),
0.00/0.23	                                                        A0),
0.00/0.23	                                         app_encode_app(app_encode_fun(
0.00/0.23	                                                        A0,
0.00/0.23	                                                        app_encode_fun(A0,A0)),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,A0),
0.00/0.23	                                                        A0)),
0.00/0.23	                                                        'const/iterate/iterate'(
0.00/0.23	                                                        A,A0),A1),
0.00/0.23	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_app(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(A,$o)),
0.00/0.23	                                                        'const/sets/UNION'(A),
0.00/0.23	                                                        A3),A4)),
0.00/0.23	                          A2) =
0.00/0.23	           app_encode_app(A0,A0,
0.00/0.23	                          app_encode_app(A0,app_encode_fun(A0,A0),A1,
0.00/0.23	                                         app_encode_app(app_encode_fun(A,A0),
0.00/0.23	                                                        A0,
0.00/0.23	                                                        app_encode_app(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,A0),
0.00/0.23	                                                        A0),
0.00/0.23	                                                        app_encode_app(
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        A0,
0.00/0.23	                                                        app_encode_fun(A0,A0)),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,A0),
0.00/0.23	                                                        A0)),
0.00/0.23	                                                        'const/iterate/iterate'(
0.00/0.23	                                                        A,A0),A1),A3),A2)),
0.00/0.23	                          app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.23	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,A0),
0.00/0.23	                                                        A0),
0.00/0.23	                                                        app_encode_app(
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        A0,
0.00/0.23	                                                        app_encode_fun(A0,A0)),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,A0),
0.00/0.23	                                                        A0)),
0.00/0.23	                                                        'const/iterate/iterate'(
0.00/0.23	                                                        A,A0),A1),A4),
0.00/0.23	                                         A2)))))))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X5 : $tType, X6 : app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.23	      X7 : $tType, X8 : app_encode_fun(X7, $o), X9 : app_encode_fun(X7, X5), 
0.00/0.23	      X10 : app_encode_fun(X7, $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun(X7, X5), X5, 
0.00/0.23	         app_encode_app(app_encode_fun(X7, $o), 
0.00/0.23	           app_encode_fun(app_encode_fun(X7, X5), X5), 
0.00/0.23	           app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.23	             app_encode_fun(app_encode_fun(X7, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X7, X5), X5)), 
0.00/0.23	             'const/iterate/iterate'(X7, X5), X6), 
0.00/0.23	           app_encode_app(app_encode_fun(X7, $o), app_encode_fun(X7, $o), 
0.00/0.23	             app_encode_app(app_encode_fun(X7, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X7, $o), app_encode_fun(X7, $o)), 
0.00/0.23	               'const/sets/UNION'(X7), X8), X10)), X9)
0.00/0.23	        = app_encode_app(X5, X5, 
0.00/0.23	            app_encode_app(X5, app_encode_fun(X5, X5), X6, 
0.00/0.23	              app_encode_app(app_encode_fun(X7, X5), X5, 
0.00/0.23	                app_encode_app(app_encode_fun(X7, $o), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X7, X5), X5), 
0.00/0.23	                  app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.23	                    app_encode_fun(app_encode_fun(X7, $o), 
0.00/0.23	                      app_encode_fun(app_encode_fun(X7, X5), X5)), 
0.00/0.23	                    'const/iterate/iterate'(X7, X5), X6), X8), X9)), 
0.00/0.23	            app_encode_app(app_encode_fun(X7, X5), X5, 
0.00/0.23	              app_encode_app(app_encode_fun(X7, $o), 
0.00/0.23	                app_encode_fun(app_encode_fun(X7, X5), X5), 
0.00/0.23	                app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X7, $o), 
0.00/0.23	                    app_encode_fun(app_encode_fun(X7, X5), X5)), 
0.00/0.23	                  'const/iterate/iterate'(X7, X5), X6), X10), X9))
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(X7, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X7, $o), $o), 
0.00/0.23	               'const/sets/DISJOINT'(X7), X8), X10)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X7), X10)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X7), X8)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), $o, 
0.00/0.23	             'const/iterate/monoidal'(X5), X6)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.23	tff('2', plain,
0.00/0.23	    ![X0 : $tType, X1 : app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	      X2 : app_encode_fun(X0, $o), X3 : app_encode_fun(X0, $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	         'type/realax/real', 
0.00/0.23	         app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	           app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	             'type/realax/real'), 
0.00/0.23	           app_encode_app(
0.00/0.23	             app_encode_fun('type/realax/real', 
0.00/0.23	               app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.23	             app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                 'type/realax/real')), 
0.00/0.23	             'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.23	             'const/realax/real_add'), 
0.00/0.23	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.23	               'const/sets/UNION'(X0), X3), X2)), X1)
0.00/0.23	        = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.23	            app_encode_app('type/realax/real', 
0.00/0.23	              app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.23	              'const/realax/real_add', 
0.00/0.23	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                'type/realax/real', 
0.00/0.23	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                    'type/realax/real'), 'const/iterate/sum'(X0), X3), X1)), 
0.00/0.23	            app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	              'type/realax/real', 
0.00/0.23	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                  'type/realax/real'), 
0.00/0.23	                app_encode_app(
0.00/0.23	                  app_encode_fun('type/realax/real', 
0.00/0.23	                    app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.23	                    app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                      'type/realax/real')), 
0.00/0.23	                  'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.23	                  'const/realax/real_add'), X2), X1))
0.00/0.23	       | ~ app_encode_app(
0.00/0.23	             app_encode_fun('type/realax/real', 
0.00/0.23	               app_encode_fun('type/realax/real', 'type/realax/real')), $o, 
0.00/0.23	             'const/iterate/monoidal'('type/realax/real'), 
0.00/0.23	             'const/realax/real_add')
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X3)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X2)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.23	               'const/sets/DISJOINT'(X0), X3), X2)),
0.00/0.23	    inference('sup+', [status(thm)], ['0', '1'])).
0.00/0.23	tff(zf_stmt_13, axiom,
0.00/0.23	  (app_encode_app(app_encode_fun('type/realax/real',
0.00/0.23	                                 app_encode_fun('type/realax/real',
0.00/0.23	                                                'type/realax/real')),
0.00/0.23	                  $o,'const/iterate/monoidal'('type/realax/real'),
0.00/0.23	                  'const/realax/real_add'))).
0.00/0.23	tff('3', plain,
0.00/0.23	    app_encode_app(
0.00/0.23	      app_encode_fun('type/realax/real', 
0.00/0.23	        app_encode_fun('type/realax/real', 'type/realax/real')), $o, 
0.00/0.23	      'const/iterate/monoidal'('type/realax/real'), 'const/realax/real_add'),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X0 : $tType, X1 : app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	      X2 : app_encode_fun(X0, $o), X3 : app_encode_fun(X0, $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	         'type/realax/real', 
0.00/0.23	         app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	           app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	             'type/realax/real'), 'const/iterate/sum'(X0), 
0.00/0.23	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.23	               'const/sets/UNION'(X0), X3), X2)), X1)
0.00/0.23	        = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.23	            app_encode_app('type/realax/real', 
0.00/0.23	              app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.23	              'const/realax/real_add', 
0.00/0.23	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                'type/realax/real', 
0.00/0.23	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                    'type/realax/real'), 'const/iterate/sum'(X0), X3), X1)), 
0.00/0.23	            app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	              'type/realax/real', 
0.00/0.23	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                  'type/realax/real'), 'const/iterate/sum'(X0), X2), X1))
0.00/0.23	       | ~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X3)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X2)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.23	               'const/sets/DISJOINT'(X0), X3), X2)),
0.00/0.23	    inference('demod', [status(thm)], ['2', '0', '0', '3'])).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X0 : $tType, X1 : app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	      X2 : app_encode_fun(X0, $o), X3 : app_encode_fun(X0, $o)]:
0.00/0.23	      (~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.23	             'const/sets/DISJOINT'(X0), X3), X2)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X2)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X3)
0.00/0.23	       | app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	           'type/realax/real', 
0.00/0.23	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	               'type/realax/real'), 'const/iterate/sum'(X0), 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.23	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X3), X2)), 
0.00/0.23	           X1)
0.00/0.23	          = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.23	              app_encode_app('type/realax/real', 
0.00/0.23	                app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.23	                'const/realax/real_add', 
0.00/0.23	                app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                  'type/realax/real', 
0.00/0.23	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                    app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                      'type/realax/real'), 'const/iterate/sum'(X0), X3), X1)), 
0.00/0.23	              app_encode_app(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                'type/realax/real', 
0.00/0.23	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.23	                    'type/realax/real'), 'const/iterate/sum'(X0), X2), X1))),
0.00/0.23	    inference('simplify', [status(thm)], ['4'])).
0.00/0.23	tff(zf_stmt_14, conjecture,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,'type/realax/real'),
0.00/0.23	     A1:app_encode_fun(A,$o),A2:app_encode_fun(A,$o)]:
0.00/0.23	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.23	       app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A2) & 
0.00/0.23	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                     'const/sets/DISJOINT'(A),A1),
0.00/0.23	                      A2)) =>
0.00/0.23	      (app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.23	                      'type/realax/real',
0.00/0.23	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                     app_encode_fun(app_encode_fun(A,
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                    'type/realax/real'),
0.00/0.23	                                     'const/iterate/sum'(A),
0.00/0.23	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                    app_encode_fun(A,$o),
0.00/0.23	                                                    app_encode_app(app_encode_fun(
0.00/0.23	                                                                   A,$o),
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   A,$o),
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   A,$o)),
0.00/0.23	                                                                   'const/sets/UNION'(
0.00/0.23	                                                                   A),A1),
0.00/0.23	                                                    A2)),
0.00/0.23	                      A0) =
0.00/0.23	       app_encode_app('type/realax/real','type/realax/real',
0.00/0.23	                      app_encode_app('type/realax/real',
0.00/0.23	                                     app_encode_fun('type/realax/real',
0.00/0.23	                                                    'type/realax/real'),
0.00/0.23	                                     'const/realax/real_add',
0.00/0.23	                                     app_encode_app(app_encode_fun(A,
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                    'type/realax/real',
0.00/0.23	                                                    app_encode_app(app_encode_fun(
0.00/0.23	                                                                   A,$o),
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   app_encode_fun(
0.00/0.23	                                                                   A,
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                                   'const/iterate/sum'(
0.00/0.23	                                                                   A),A1),
0.00/0.23	                                                    A0)),
0.00/0.23	                      app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.23	                                     'type/realax/real',
0.00/0.23	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                    app_encode_fun(app_encode_fun(
0.00/0.23	                                                                   A,
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                    'const/iterate/sum'(A),A2),
0.00/0.23	                                     A0)))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![A:$tType,A0:app_encode_fun(A,'type/realax/real'),
0.00/0.23	       A1:app_encode_fun(A,$o),A2:app_encode_fun(A,$o)]:
0.00/0.23	       ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.23	         app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A2) & 
0.00/0.23	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                       'const/sets/DISJOINT'(A),A1),
0.00/0.23	                        A2)) =>
0.00/0.23	        (app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.23	                        'type/realax/real',
0.00/0.23	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                       app_encode_fun(app_encode_fun(
0.00/0.23	                                                      A,'type/realax/real'),
0.00/0.23	                                                      'type/realax/real'),
0.00/0.23	                                       'const/iterate/sum'(A),
0.00/0.23	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                      app_encode_fun(A,$o),
0.00/0.23	                                                      app_encode_app(
0.00/0.23	                                                      app_encode_fun(A,$o),
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      app_encode_fun(A,$o),
0.00/0.23	                                                      app_encode_fun(A,$o)),
0.00/0.23	                                                      'const/sets/UNION'(A),
0.00/0.23	                                                      A1),A2)),
0.00/0.23	                        A0) =
0.00/0.23	         app_encode_app('type/realax/real','type/realax/real',
0.00/0.23	                        app_encode_app('type/realax/real',
0.00/0.23	                                       app_encode_fun('type/realax/real',
0.00/0.23	                                                      'type/realax/real'),
0.00/0.23	                                       'const/realax/real_add',
0.00/0.23	                                       app_encode_app(app_encode_fun(
0.00/0.23	                                                      A,'type/realax/real'),
0.00/0.23	                                                      'type/realax/real',
0.00/0.23	                                                      app_encode_app(
0.00/0.23	                                                      app_encode_fun(A,$o),
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      A,'type/realax/real'),
0.00/0.23	                                                      'type/realax/real'),
0.00/0.23	                                                      'const/iterate/sum'(A),
0.00/0.23	                                                      A1),A0)),
0.00/0.23	                        app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.23	                                       'type/realax/real',
0.00/0.23	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      app_encode_fun(
0.00/0.23	                                                      A,'type/realax/real'),
0.00/0.23	                                                      'type/realax/real'),
0.00/0.23	                                                      'const/iterate/sum'(A),
0.00/0.23	                                                      A2),
0.00/0.23	                                       A0))))))).
0.00/0.23	tff('6', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	      'type/realax/real', 
0.00/0.23	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	        app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	          'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.23	        app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.23	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	            app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	              app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), sk_A1), 
0.00/0.23	          sk_A2)), sk_A0)
0.00/0.23	     != app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.23	          app_encode_app('type/realax/real', 
0.00/0.23	            app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.23	            'const/realax/real_add', 
0.00/0.23	            app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	              'type/realax/real', 
0.00/0.23	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	                app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	                  'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), 
0.00/0.23	              sk_A0)), 
0.00/0.23	          app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	            'type/realax/real', 
0.00/0.23	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	              app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	                'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), 
0.00/0.23	            sk_A0)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('7', plain,
0.00/0.23	    (app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	       'type/realax/real', 
0.00/0.23	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	         app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	           'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.23	         app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), sk_A1), 
0.00/0.23	           sk_A2)), sk_A0)
0.00/0.23	      != app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	           'type/realax/real', 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	               'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.23	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	                   app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), 
0.00/0.23	                 sk_A1), sk_A2)), sk_A0)
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           'const/sets/FINITE'(sk_A), sk_A1)
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           'const/sets/FINITE'(sk_A), sk_A2)
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	             'const/sets/DISJOINT'(sk_A), sk_A1), sk_A2)),
0.00/0.23	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.23	      sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('9', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.23	      sk_A2),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('10', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	        'const/sets/DISJOINT'(sk_A), sk_A1), sk_A2),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('11', plain,
0.00/0.23	    (app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	       'type/realax/real', 
0.00/0.23	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	         app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	           'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.23	         app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), sk_A1), 
0.00/0.23	           sk_A2)), sk_A0)
0.00/0.23	      != app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	           'type/realax/real', 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.23	               'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.23	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	                   app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), 
0.00/0.23	                 sk_A1), sk_A2)), sk_A0)
0.00/0.23	     | ~ $true
0.00/0.23	     | ~ $true
0.00/0.23	     | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['7', '8', '9', '10'])).
0.00/0.23	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
