0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n039.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:44:39 CST 2018
0.00/0.23	% done 18 iterations in 0.027s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_15, axiom,
0.00/0.23	  (![A:$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('0', plain,
0.00/0.23	    ![X13 : $tType, X14 : app_encode_fun(X13, $o), 
0.00/0.23	      X15 : app_encode_fun(X13, $o), 
0.00/0.23	      X16 : app_encode_fun(X13, 'type/realax/real')]:
0.00/0.23	      (~ app_encode_app(app_encode_fun(X13, $o), $o, 
0.00/0.23	           'const/sets/FINITE'(X13), X14)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X13, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X13), X15)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X13, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(X13, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X13, $o), $o), 
0.00/0.23	               'const/sets/DISJOINT'(X13), X14), X15)
0.00/0.23	       | app_encode_app(app_encode_fun(X13, 'type/realax/real'), 
0.00/0.23	           'type/realax/real', 
0.00/0.23	           app_encode_app(app_encode_fun(X13, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(X13, 'type/realax/real'), 
0.00/0.23	               'type/realax/real'), 'const/iterate/sum'(X13), 
0.00/0.23	             app_encode_app(app_encode_fun(X13, $o), 
0.00/0.23	               app_encode_fun(X13, $o), 
0.00/0.23	               app_encode_app(app_encode_fun(X13, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(X13, $o), 
0.00/0.23	                   app_encode_fun(X13, $o)), 'const/sets/UNION'(X13), X14), 
0.00/0.23	               X15)), X16)
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(X13, 'type/realax/real'), 
0.00/0.23	                  'type/realax/real', 
0.00/0.23	                  app_encode_app(app_encode_fun(X13, $o), 
0.00/0.23	                    app_encode_fun(app_encode_fun(X13, 'type/realax/real'), 
0.00/0.23	                      'type/realax/real'), 'const/iterate/sum'(X13), X14), 
0.00/0.23	                  X16)), 
0.00/0.23	              app_encode_app(app_encode_fun(X13, 'type/realax/real'), 
0.00/0.23	                'type/realax/real', 
0.00/0.23	                app_encode_app(app_encode_fun(X13, $o), 
0.00/0.23	                  app_encode_fun(app_encode_fun(X13, 'type/realax/real'), 
0.00/0.23	                    'type/realax/real'), 'const/iterate/sum'(X13), X15), X16))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.23	tff(zf_stmt_16, conjecture,
0.00/0.23	  (![A:$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),A3: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),app_encode_fun(A,$o),
0.00/0.23	                       app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                      app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                     app_encode_fun(A,$o)),
0.00/0.23	                                      'const/sets/INTER'(A),A1),
0.00/0.23	                       A2) =
0.00/0.23	        'const/sets/EMPTY'(A)) & 
0.00/0.23	       (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$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	                                                     app_encode_fun(A,$o)),
0.00/0.23	                                      'const/sets/UNION'(A),A1),
0.00/0.23	                       A2) =
0.00/0.23	        A3)) =>
0.00/0.23	      (app_encode_app('type/realax/real','type/realax/real',
0.00/0.23	                      app_encode_app('type/realax/real',
0.00/0.23	                                     app_encode_fun('type/realax/real',
0.00/0.23	                                                    'type/realax/real'),
0.00/0.23	                                     'const/realax/real_add',
0.00/0.23	                                     app_encode_app(app_encode_fun(A,
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                    'type/realax/real',
0.00/0.23	                                                    app_encode_app(app_encode_fun(
0.00/0.23	                                                                   A,$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,$o),
0.00/0.23	                                                    app_encode_fun(app_encode_fun(
0.00/0.23	                                                                   A,
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                                   'type/realax/real'),
0.00/0.23	                                                    'const/iterate/sum'(A),A2),
0.00/0.23	                                     A0)) =
0.00/0.23	       app_encode_app(app_encode_fun(A,'type/realax/real'),
0.00/0.23	                      'type/realax/real',
0.00/0.23	                      app_encode_app(app_encode_fun(A,$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),A3),
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,$o),
0.00/0.23	       A3:app_encode_fun(A,$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,$o),app_encode_fun(A,$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	                                                       app_encode_fun(A,$o)),
0.00/0.23	                                        'const/sets/INTER'(A),A1),
0.00/0.23	                         A2) =
0.00/0.23	          'const/sets/EMPTY'(A)) & 
0.00/0.23	         (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.23	                         app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                       app_encode_fun(A,$o)),
0.00/0.23	                                        'const/sets/UNION'(A),A1),
0.00/0.23	                         A2) =
0.00/0.23	          A3)) =>
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	         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),A3),
0.00/0.23	                        A0)))))).
0.00/0.23	tff('1', plain,
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), 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), 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_A3), sk_A0),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', 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), 
0.00/0.24	         app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	           'type/realax/real'), 'const/iterate/sum'(sk_A), 
0.00/0.24	         app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.24	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.24	               app_encode_fun(sk_A, $o)), 'const/sets/UNION'(sk_A), sk_A1), 
0.00/0.24	           sk_A2)), sk_A0)
0.00/0.24	      != app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A3), sk_A0)
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	             'const/sets/DISJOINT'(sk_A), sk_A1), sk_A2)
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           'const/sets/FINITE'(sk_A), sk_A2)
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           'const/sets/FINITE'(sk_A), sk_A1)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.24	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	        app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
0.00/0.24	        'const/sets/UNION'(sk_A), sk_A1), sk_A2)
0.00/0.24	     = sk_A3,
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('4', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.24	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	        app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
0.00/0.24	        'const/sets/INTER'(sk_A), sk_A1), sk_A2)
0.00/0.24	     = 'const/sets/EMPTY'(sk_A),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff(zf_stmt_14, axiom,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.24	                                    'const/sets/DISJOINT'(A),A0),
0.00/0.24	                     A1) <=>
0.00/0.24	      (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.24	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                     app_encode_fun(app_encode_fun(A,$o),
0.00/0.24	                                                    app_encode_fun(A,$o)),
0.00/0.24	                                     'const/sets/INTER'(A),A0),
0.00/0.24	                      A1) =
0.00/0.24	       'const/sets/EMPTY'(A))))).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X9 : $tType, X10 : app_encode_fun(X9, $o), X12 : app_encode_fun(X9, $o)]:
0.00/0.24	      (app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.24	         app_encode_app(app_encode_fun(X9, $o), 
0.00/0.24	           app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.24	           'const/sets/DISJOINT'(X9), X10), X12)
0.00/0.24	       | app_encode_app(app_encode_fun(X9, $o), app_encode_fun(X9, $o), 
0.00/0.24	           app_encode_app(app_encode_fun(X9, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(X9, $o), app_encode_fun(X9, $o)), 
0.00/0.24	             'const/sets/INTER'(X9), X10), X12)
0.00/0.24	          != 'const/sets/EMPTY'(X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ('const/sets/EMPTY'(sk_A) != 'const/sets/EMPTY'(sk_A)
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	           'const/sets/DISJOINT'(sk_A), sk_A1), sk_A2)),
0.00/0.24	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	        'const/sets/DISJOINT'(sk_A), sk_A1), sk_A2),
0.00/0.24	    inference('simplify', [status(thm)], ['6'])).
0.00/0.24	tff(zf_stmt_11, axiom,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	     app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                    app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                   app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.24	                                   'const/sets/SUBSET'(A),A0),
0.00/0.24	                    app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.24	                                   app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                                  app_encode_fun(app_encode_fun(
0.00/0.24	                                                                 A,$o),
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 A,$o)),
0.00/0.24	                                                  'const/sets/UNION'(A),A1),
0.00/0.24	                                   A0)))).
0.00/0.24	tff('8', plain,
0.00/0.24	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.24	      app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.24	        app_encode_app(app_encode_fun(X0, $o), 
0.00/0.24	          app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.24	          'const/sets/SUBSET'(X0), X1), 
0.00/0.24	        app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.24	          app_encode_app(app_encode_fun(X0, $o), 
0.00/0.24	            app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.24	            'const/sets/UNION'(X0), X2), X1)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.24	tff('9', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	        'const/sets/SUBSET'(sk_A), sk_A2), sk_A3),
0.00/0.24	    inference('sup+', [status(thm)], ['3', '8'])).
0.00/0.24	tff(zf_stmt_13, axiom,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.24	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.24	                                     'const/sets/SUBSET'(A),A0),
0.00/0.24	                      A1)) =>
0.00/0.24	      app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0)))).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X6 : $tType, X7 : app_encode_fun(X6, $o), X8 : app_encode_fun(X6, $o)]:
0.00/0.24	      (app_encode_app(app_encode_fun(X6, $o), $o, 'const/sets/FINITE'(X6), 
0.00/0.24	         X7)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.24	             'const/sets/FINITE'(X6), X8)
0.00/0.24	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.24	             app_encode_app(app_encode_fun(X6, $o), 
0.00/0.24	               app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.24	               'const/sets/SUBSET'(X6), X7), X8)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.24	tff('11', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           'const/sets/FINITE'(sk_A), sk_A3)
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         'const/sets/FINITE'(sk_A), sk_A2)),
0.00/0.24	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.24	tff('12', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.24	      sk_A3),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('13', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         'const/sets/FINITE'(sk_A), sk_A2)),
0.00/0.24	    inference('demod', [status(thm)], ['11', '12'])).
0.00/0.24	tff('14', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.24	      sk_A2),
0.00/0.24	    inference('simplify', [status(thm)], ['13'])).
0.00/0.24	tff(zf_stmt_12, axiom,
0.00/0.24	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.24	     app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.24	                    app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                   app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.24	                                   'const/sets/SUBSET'(A),A0),
0.00/0.24	                    app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.24	                                   app_encode_app(app_encode_fun(A,$o),
0.00/0.24	                                                  app_encode_fun(app_encode_fun(
0.00/0.24	                                                                 A,$o),
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 A,$o)),
0.00/0.24	                                                  'const/sets/UNION'(A),A0),
0.00/0.24	                                   A1)))).
0.00/0.24	tff('15', plain,
0.00/0.24	    ![X3 : $tType, X4 : app_encode_fun(X3, $o), X5 : app_encode_fun(X3, $o)]:
0.00/0.24	      app_encode_app(app_encode_fun(X3, $o), $o, 
0.00/0.24	        app_encode_app(app_encode_fun(X3, $o), 
0.00/0.24	          app_encode_fun(app_encode_fun(X3, $o), $o), 
0.00/0.24	          'const/sets/SUBSET'(X3), X4), 
0.00/0.24	        app_encode_app(app_encode_fun(X3, $o), app_encode_fun(X3, $o), 
0.00/0.24	          app_encode_app(app_encode_fun(X3, $o), 
0.00/0.24	            app_encode_fun(app_encode_fun(X3, $o), app_encode_fun(X3, $o)), 
0.00/0.24	            'const/sets/UNION'(X3), X4), X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.24	tff('16', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.24	        'const/sets/SUBSET'(sk_A), sk_A1), sk_A3),
0.00/0.24	    inference('sup+', [status(thm)], ['3', '15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	           'const/sets/FINITE'(sk_A), sk_A3)
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         'const/sets/FINITE'(sk_A), sk_A1)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '10'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.24	         'const/sets/FINITE'(sk_A), sk_A1)),
0.00/0.24	    inference('demod', [status(thm)], ['17', '12'])).
0.00/0.24	tff('19', plain,
0.00/0.24	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.24	      sk_A1),
0.00/0.24	    inference('simplify', [status(thm)], ['18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    (app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	       'type/realax/real', 
0.00/0.24	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	         app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	           'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A3), sk_A0)
0.00/0.24	      != app_encode_app(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	           'type/realax/real', 
0.00/0.24	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.24	             app_encode_fun(app_encode_fun(sk_A, 'type/realax/real'), 
0.00/0.24	               'type/realax/real'), 'const/iterate/sum'(sk_A), sk_A3), sk_A0)
0.00/0.24	     | ~ $true
0.00/0.24	     | ~ $true
0.00/0.24	     | ~ $true),
0.00/0.24	    inference('demod', [status(thm)], ['2', '3', '7', '14', '19'])).
0.00/0.24	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
