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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n139.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:46:09 CST 2018
0.00/0.22	% done 10 iterations in 0.016s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(zf_stmt_15, conjecture,
0.00/0.22	  (![A:$tType,A0:app_encode_fun(A,'type/realax/real'),
0.00/0.22	     A1:app_encode_fun(A,$o),A2:app_encode_fun(A,$o)]:
0.00/0.22	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.22	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.22	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.22	                                     'const/sets/SUBSET'(A),A2),
0.00/0.22	                      A1)) =>
0.00/0.22	      (app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.22	                      'type/realax/real',
0.00/0.22	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                     app_encode_fun(app_encode_fun(A,
0.00/0.22	                                                                   'type/realax/real'),
0.00/0.22	                                                    'type/realax/real'),
0.00/0.22	                                     'const/iterate/sum'(A),
0.00/0.22	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                    app_encode_fun(A,$o),
0.00/0.22	                                                    app_encode_app(app_encode_fun(
0.00/0.22	                                                                   A,$o),
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,$o),
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,$o)),
0.00/0.22	                                                                   'const/sets/DIFF'(
0.00/0.22	                                                                   A),A1),
0.00/0.22	                                                    A2)),
0.00/0.22	                      A0) =
0.00/0.22	       app_encode_app('type/realax/real','type/realax/real',
0.00/0.22	                      app_encode_app('type/realax/real',
0.00/0.22	                                     app_encode_fun('type/realax/real',
0.00/0.22	                                                    'type/realax/real'),
0.00/0.22	                                     'const/realax/real_sub',
0.00/0.22	                                     app_encode_app(app_encode_fun(A,
0.00/0.22	                                                                   'type/realax/real'),
0.00/0.22	                                                    'type/realax/real',
0.00/0.22	                                                    app_encode_app(app_encode_fun(
0.00/0.22	                                                                   A,$o),
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,
0.00/0.22	                                                                   'type/realax/real'),
0.00/0.22	                                                                   'type/realax/real'),
0.00/0.22	                                                                   'const/iterate/sum'(
0.00/0.22	                                                                   A),A1),
0.00/0.22	                                                    A0)),
0.00/0.22	                      app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.22	                                     'type/realax/real',
0.00/0.22	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                    app_encode_fun(app_encode_fun(
0.00/0.22	                                                                   A,
0.00/0.22	                                                                   'type/realax/real'),
0.00/0.22	                                                                   'type/realax/real'),
0.00/0.22	                                                    'const/iterate/sum'(A),A2),
0.00/0.22	                                     A0)))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:$tType,A0:app_encode_fun(A,'type/realax/real'),
0.00/0.22	       A1:app_encode_fun(A,$o),A2:app_encode_fun(A,$o)]:
0.00/0.22	       ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.22	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.22	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.22	                                       'const/sets/SUBSET'(A),A2),
0.00/0.22	                        A1)) =>
0.00/0.22	        (app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.22	                        'type/realax/real',
0.00/0.22	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                       app_encode_fun(app_encode_fun(
0.00/0.22	                                                      A,'type/realax/real'),
0.00/0.22	                                                      'type/realax/real'),
0.00/0.22	                                       'const/iterate/sum'(A),
0.00/0.22	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_app(
0.00/0.22	                                                      app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(A,$o)),
0.00/0.22	                                                      'const/sets/DIFF'(A),A1),
0.00/0.22	                                                      A2)),
0.00/0.22	                        A0) =
0.00/0.22	         app_encode_app('type/realax/real','type/realax/real',
0.00/0.22	                        app_encode_app('type/realax/real',
0.00/0.22	                                       app_encode_fun('type/realax/real',
0.00/0.22	                                                      'type/realax/real'),
0.00/0.22	                                       'const/realax/real_sub',
0.00/0.22	                                       app_encode_app(app_encode_fun(
0.00/0.22	                                                      A,'type/realax/real'),
0.00/0.22	                                                      'type/realax/real',
0.00/0.22	                                                      app_encode_app(
0.00/0.22	                                                      app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      A,'type/realax/real'),
0.00/0.22	                                                      'type/realax/real'),
0.00/0.22	                                                      'const/iterate/sum'(A),
0.00/0.22	                                                      A1),A0)),
0.00/0.22	                        app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.22	                                       'type/realax/real',
0.00/0.22	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      A,'type/realax/real'),
0.00/0.22	                                                      'type/realax/real'),
0.00/0.22	                                                      'const/iterate/sum'(A),
0.00/0.22	                                                      A2),
0.00/0.22	                                       A0))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	      'type/realax/real', 
0.00/0.22	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	        app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	          'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.22	        app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	            app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	              app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), sk_A1), 
0.00/0.22	          sk_A2)), sk_A0)
0.00/0.22	     != app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	          app_encode_app('type/realax/real', 
0.00/0.22	            app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	            'const/realax/real_sub', 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	              'type/realax/real', 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                  'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), 
0.00/0.22	              sk_A0)), 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	            'type/realax/real', 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), 
0.00/0.22	            sk_A0)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_13, axiom,
0.00/0.22	  (app_encode_app(app_encode_fun('type/realax/real',
0.00/0.22	                                 app_encode_fun('type/realax/real',
0.00/0.22	                                                'type/realax/real')),
0.00/0.22	                  $o,'const/iterate/monoidal'('type/realax/real'),
0.00/0.22	                  'const/realax/real_add'))).
0.00/0.22	tff('1', plain,
0.00/0.22	    app_encode_app(
0.00/0.22	      app_encode_fun('type/realax/real', 
0.00/0.22	        app_encode_fun('type/realax/real', 'type/realax/real')), $o, 
0.00/0.22	      'const/iterate/monoidal'('type/realax/real'), 'const/realax/real_add'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.22	tff('2', plain,
0.00/0.22	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.22	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.22	        'const/sets/SUBSET'(sk_A), sk_A2), sk_A1),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_12, axiom,
0.00/0.22	  (![A:$tType,A0:$tType,A1:app_encode_fun(A0,app_encode_fun(A0,A0))]:
0.00/0.22	     (app_encode_app(app_encode_fun(A0,app_encode_fun(A0,A0)),$o,
0.00/0.22	                     'const/iterate/monoidal'(A0),A1) =>
0.00/0.22	      (![A2:app_encode_fun(A,A0),A3:app_encode_fun(A,$o),
0.00/0.22	         A4:app_encode_fun(A,$o)]:
0.00/0.22	         ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A3) & 
0.00/0.22	           app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.22	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.22	                                                        $o),
0.00/0.22	                                         'const/sets/SUBSET'(A),A4),
0.00/0.22	                          A3)) =>
0.00/0.22	          (app_encode_app(A0,A0,
0.00/0.22	                          app_encode_app(A0,app_encode_fun(A0,A0),A1,
0.00/0.22	                                         app_encode_app(app_encode_fun(A,A0),
0.00/0.22	                                                        A0,
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,A0),
0.00/0.22	                                                        A0),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        A0,
0.00/0.22	                                                        app_encode_fun(A0,A0)),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,A0),
0.00/0.22	                                                        A0)),
0.00/0.22	                                                        'const/iterate/iterate'(
0.00/0.22	                                                        A,A0),A1),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(A,$o)),
0.00/0.22	                                                        'const/sets/DIFF'(A),
0.00/0.22	                                                        A3),A4)),A2)),
0.00/0.22	                          app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.22	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,A0),
0.00/0.22	                                                        A0),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        A0,
0.00/0.22	                                                        app_encode_fun(A0,A0)),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,A0),
0.00/0.22	                                                        A0)),
0.00/0.22	                                                        'const/iterate/iterate'(
0.00/0.22	                                                        A,A0),A1),A4),
0.00/0.22	                                         A2)) =
0.00/0.22	           app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.22	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                         app_encode_fun(app_encode_fun(A,A0),
0.00/0.22	                                                        A0),
0.00/0.22	                                         app_encode_app(app_encode_fun(
0.00/0.22	                                                        A0,
0.00/0.22	                                                        app_encode_fun(A0,A0)),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,A0),
0.00/0.22	                                                        A0)),
0.00/0.22	                                                        'const/iterate/iterate'(
0.00/0.22	                                                        A,A0),A1),
0.00/0.22	                                         A3),
0.00/0.22	                          A2))))))).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X1 : $tType, X2 : $tType, 
0.00/0.22	      X3 : app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.22	      X4 : app_encode_fun(X1, $o), X5 : app_encode_fun(X1, X2), 
0.00/0.22	      X6 : app_encode_fun(X1, $o)]:
0.00/0.22	      (app_encode_app(X2, X2, 
0.00/0.22	         app_encode_app(X2, app_encode_fun(X2, X2), X3, 
0.00/0.22	           app_encode_app(app_encode_fun(X1, X2), X2, 
0.00/0.22	             app_encode_app(app_encode_fun(X1, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(X1, X2), X2), 
0.00/0.22	               app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.22	                 app_encode_fun(app_encode_fun(X1, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(X1, X2), X2)), 
0.00/0.22	                 'const/iterate/iterate'(X1, X2), X3), 
0.00/0.22	               app_encode_app(app_encode_fun(X1, $o), 
0.00/0.22	                 app_encode_fun(X1, $o), 
0.00/0.22	                 app_encode_app(app_encode_fun(X1, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(X1, $o), 
0.00/0.22	                     app_encode_fun(X1, $o)), 'const/sets/DIFF'(X1), X4), X6)), 
0.00/0.22	             X5)), 
0.00/0.22	         app_encode_app(app_encode_fun(X1, X2), X2, 
0.00/0.22	           app_encode_app(app_encode_fun(X1, $o), 
0.00/0.22	             app_encode_fun(app_encode_fun(X1, X2), X2), 
0.00/0.22	             app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.22	               app_encode_fun(app_encode_fun(X1, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(X1, X2), X2)), 
0.00/0.22	               'const/iterate/iterate'(X1, X2), X3), X6), X5))
0.00/0.22	        = app_encode_app(app_encode_fun(X1, X2), X2, 
0.00/0.22	            app_encode_app(app_encode_fun(X1, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(X1, X2), X2), 
0.00/0.22	              app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.22	                app_encode_fun(app_encode_fun(X1, $o), 
0.00/0.22	                  app_encode_fun(app_encode_fun(X1, X2), X2)), 
0.00/0.22	                'const/iterate/iterate'(X1, X2), X3), X4), X5)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X1, $o), $o, 
0.00/0.22	             app_encode_app(app_encode_fun(X1, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(X1, $o), $o), 
0.00/0.22	               'const/sets/SUBSET'(X1), X6), X4)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X1, $o), $o, 
0.00/0.22	             'const/sets/FINITE'(X1), X4)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), $o, 
0.00/0.22	             'const/iterate/monoidal'(X2), X3)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	      X2 : app_encode_fun(sk_A, X0)]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.22	             'const/iterate/monoidal'(X0), X1)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.22	             'const/sets/FINITE'(sk_A), sk_A1)
0.00/0.22	       | app_encode_app(X0, X0, 
0.00/0.22	           app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	                 app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                   'const/iterate/iterate'(sk_A, X0), X1), 
0.00/0.22	                 app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                       app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), 
0.00/0.22	                     sk_A1), sk_A2)), X2)), 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	               app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                 'const/iterate/iterate'(sk_A, X0), X1), sk_A2), X2))
0.00/0.22	          = app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	                app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                  app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                    app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                  'const/iterate/iterate'(sk_A, X0), X1), sk_A1), X2)),
0.00/0.22	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.22	tff('5', plain,
0.00/0.22	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.22	      sk_A1),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	      X2 : app_encode_fun(sk_A, X0)]:
0.00/0.22	      (~ $true
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.22	             'const/iterate/monoidal'(X0), X1)
0.00/0.22	       | ~ $true
0.00/0.22	       | app_encode_app(X0, X0, 
0.00/0.22	           app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	                 app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                   'const/iterate/iterate'(sk_A, X0), X1), 
0.00/0.22	                 app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                       app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), 
0.00/0.22	                     sk_A1), sk_A2)), X2)), 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	               app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                 'const/iterate/iterate'(sk_A, X0), X1), sk_A2), X2))
0.00/0.22	          = app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	                app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                  app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                    app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                  'const/iterate/iterate'(sk_A, X0), X1), sk_A1), X2)),
0.00/0.22	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	      X2 : app_encode_fun(sk_A, X0)]:
0.00/0.22	      (app_encode_app(X0, X0, 
0.00/0.22	         app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	               app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                 'const/iterate/iterate'(sk_A, X0), X1), 
0.00/0.22	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), 
0.00/0.22	                   sk_A1), sk_A2)), X2)), 
0.00/0.22	         app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	             app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	             app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	               'const/iterate/iterate'(sk_A, X0), X1), sk_A2), X2))
0.00/0.22	        = app_encode_app(app_encode_fun(sk_A, X0), X0, 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(sk_A, X0), X0), 
0.00/0.22	              app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                  app_encode_fun(app_encode_fun(sk_A, X0), X0)), 
0.00/0.22	                'const/iterate/iterate'(sk_A, X0), X1), sk_A1), X2)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.22	             'const/iterate/monoidal'(X0), X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0 : app_encode_fun(sk_A, 'type/realax/real')]:
0.00/0.22	      (~ $true
0.00/0.22	       | app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	           app_encode_app('type/realax/real', 
0.00/0.22	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	             'const/realax/real_add', 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	               'type/realax/real', 
0.00/0.22	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                   'type/realax/real'), 
0.00/0.22	                 app_encode_app(
0.00/0.22	                   app_encode_fun('type/realax/real', 
0.00/0.22	                     app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(
0.00/0.22	                       app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                       'type/realax/real')), 
0.00/0.22	                   'const/iterate/iterate'(sk_A, 'type/realax/real'), 
0.00/0.22	                   'const/realax/real_add'), 
0.00/0.22	                 app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                       app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), 
0.00/0.22	                     sk_A1), sk_A2)), X0)), 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	             'type/realax/real', 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                 'type/realax/real'), 
0.00/0.22	               app_encode_app(
0.00/0.22	                 app_encode_fun('type/realax/real', 
0.00/0.22	                   app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                     'type/realax/real')), 
0.00/0.22	                 'const/iterate/iterate'(sk_A, 'type/realax/real'), 
0.00/0.22	                 'const/realax/real_add'), sk_A2), X0))
0.00/0.22	          = app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	              'type/realax/real', 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                  'type/realax/real'), 
0.00/0.22	                app_encode_app(
0.00/0.22	                  app_encode_fun('type/realax/real', 
0.00/0.22	                    app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.22	                  app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                    app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                      'type/realax/real')), 
0.00/0.22	                  'const/iterate/iterate'(sk_A, 'type/realax/real'), 
0.00/0.22	                  'const/realax/real_add'), sk_A1), X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['1', '7'])).
0.00/0.22	tff(zf_stmt_11, axiom,
0.00/0.22	  (![A:$tType]:
0.00/0.22	     ('const/iterate/sum'(A) =
0.00/0.22	      app_encode_app(app_encode_fun('type/realax/real',
0.00/0.22	                                    app_encode_fun('type/realax/real',
0.00/0.22	                                                   'type/realax/real')),
0.00/0.22	                     app_encode_fun(app_encode_fun(A,$o),
0.00/0.22	                                    app_encode_fun(app_encode_fun(A,
0.00/0.22	                                                                  'type/realax/real'),
0.00/0.22	                                                   'type/realax/real')),
0.00/0.22	                     'const/iterate/iterate'(A,'type/realax/real'),
0.00/0.22	                     'const/realax/real_add')))).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0 : $tType]:
0.00/0.22	      'const/iterate/sum'(X0)
0.00/0.22	       = app_encode_app(
0.00/0.22	           app_encode_fun('type/realax/real', 
0.00/0.22	             app_encode_fun('type/realax/real', 'type/realax/real')), 
0.00/0.22	           app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.22	             app_encode_fun(app_encode_fun(X0, 'type/realax/real'), 
0.00/0.22	               'type/realax/real')), 
0.00/0.22	           'const/iterate/iterate'(X0, 'type/realax/real'), 
0.00/0.22	           'const/realax/real_add'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : app_encode_fun(sk_A, 'type/realax/real')]:
0.00/0.22	      (~ $true
0.00/0.22	       | app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	           app_encode_app('type/realax/real', 
0.00/0.22	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	             'const/realax/real_add', 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	               'type/realax/real', 
0.00/0.22	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                   'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.22	                 app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_fun(sk_A, $o), 
0.00/0.22	                   app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                     app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                       app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), 
0.00/0.22	                     sk_A1), sk_A2)), X0)), 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	             'type/realax/real', 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                 'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), X0))
0.00/0.22	          = app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	              'type/realax/real', 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                  'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), X0)),
0.00/0.22	    inference('demod', [status(thm)], ['8', '9', '9', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : app_encode_fun(sk_A, 'type/realax/real')]:
0.00/0.22	      app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	        app_encode_app('type/realax/real', 
0.00/0.22	          app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	          'const/realax/real_add', 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	            'type/realax/real', 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                  app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                    app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), 
0.00/0.22	                  sk_A1), sk_A2)), X0)), 
0.00/0.22	        app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	          'type/realax/real', 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	            app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	              'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), X0))
0.00/0.22	       = app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	           'type/realax/real', 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	               'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), X0),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff(zf_stmt_14, axiom,
0.00/0.22	  (![A:'type/realax/real',A0:'type/realax/real',A1:'type/realax/real']:
0.00/0.22	     ((A =
0.00/0.22	       app_encode_app('type/realax/real','type/realax/real',
0.00/0.22	                      app_encode_app('type/realax/real',
0.00/0.22	                                     app_encode_fun('type/realax/real',
0.00/0.22	                                                    'type/realax/real'),
0.00/0.22	                                     'const/realax/real_sub',A0),
0.00/0.22	                      A1)) <=>
0.00/0.22	      (app_encode_app('type/realax/real','type/realax/real',
0.00/0.22	                      app_encode_app('type/realax/real',
0.00/0.22	                                     app_encode_fun('type/realax/real',
0.00/0.22	                                                    'type/realax/real'),
0.00/0.22	                                     'const/realax/real_add',A),
0.00/0.22	                      A1) =
0.00/0.22	       A0)))).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X7 : 'type/realax/real', X8 : 'type/realax/real', 
0.00/0.22	      X10 : 'type/realax/real']:
0.00/0.22	      (X8
0.00/0.22	        = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	            app_encode_app('type/realax/real', 
0.00/0.22	              app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	              'const/realax/real_sub', X7), X10)
0.00/0.22	       | app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	           app_encode_app('type/realax/real', 
0.00/0.22	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	             'const/realax/real_add', X8), X10)
0.00/0.22	          != X7),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X8 : 'type/realax/real', X10 : 'type/realax/real']:
0.00/0.22	      X8
0.00/0.22	       = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	           app_encode_app('type/realax/real', 
0.00/0.22	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	             'const/realax/real_sub', 
0.00/0.22	             app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	               app_encode_app('type/realax/real', 
0.00/0.22	                 app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	                 'const/realax/real_add', X8), X10)), X10),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0 : app_encode_fun(sk_A, 'type/realax/real')]:
0.00/0.22	      app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	        'type/realax/real', 
0.00/0.22	        app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	          app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	            'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), sk_A1), 
0.00/0.22	            sk_A2)), X0)
0.00/0.22	       = app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	           app_encode_app('type/realax/real', 
0.00/0.22	             app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	             'const/realax/real_sub', 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	               'type/realax/real', 
0.00/0.22	               app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                   'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), 
0.00/0.22	               X0)), 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	             'type/realax/real', 
0.00/0.22	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	               app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                 'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), X0)),
0.00/0.22	    inference('sup+', [status(thm)], ['11', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	      app_encode_app('type/realax/real', 
0.00/0.22	        app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	        'const/realax/real_sub', 
0.00/0.22	        app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	          'type/realax/real', 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	            app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	              'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), sk_A0)), 
0.00/0.22	      app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	        'type/realax/real', 
0.00/0.22	        app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	          app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	            'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), sk_A0))
0.00/0.22	     != app_encode_app('type/realax/real', 'type/realax/real', 
0.00/0.22	          app_encode_app('type/realax/real', 
0.00/0.22	            app_encode_fun('type/realax/real', 'type/realax/real'), 
0.00/0.22	            'const/realax/real_sub', 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	              'type/realax/real', 
0.00/0.22	              app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	                app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                  'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A1), 
0.00/0.22	              sk_A0)), 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	            'type/realax/real', 
0.00/0.22	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.22	                'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A2), 
0.00/0.22	            sk_A0)),
0.00/0.22	    inference('demod', [status(thm)], ['0', '14'])).
0.00/0.22	tff('16', plain, $false, inference('simplify', [status(thm)], ['15'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
