0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n040.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:37:39 CST 2018
0.00/0.22	% done 8 iterations in 0.012s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(zf_stmt_14, conjecture,
0.00/0.22	  (![A:$tType,A0:app_encode_fun(A,'type/nums/num'),A1:app_encode_fun(A,$o),
0.00/0.22	     A2:A]:
0.00/0.22	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.22	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.22	                      app_encode_app(A,
0.00/0.22	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.22	                                     'const/sets/IN'(A),A2),
0.00/0.22	                      A1)) =>
0.00/0.22	      (app_encode_app('type/nums/num','type/nums/num',
0.00/0.22	                      app_encode_app('type/nums/num',
0.00/0.22	                                     app_encode_fun('type/nums/num',
0.00/0.22	                                                    'type/nums/num'),
0.00/0.22	                                     'const/arith/+',
0.00/0.22	                                     app_encode_app(A,'type/nums/num',A0,A2)),
0.00/0.22	                      app_encode_app(app_encode_fun(A,'type/nums/num'),
0.00/0.22	                                     'type/nums/num',
0.00/0.22	                                     app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                    app_encode_fun(app_encode_fun(
0.00/0.22	                                                                   A,
0.00/0.22	                                                                   'type/nums/num'),
0.00/0.22	                                                                   'type/nums/num'),
0.00/0.22	                                                    'const/iterate/nsum'(A),
0.00/0.22	                                                    app_encode_app(A,
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,$o),
0.00/0.22	                                                                   app_encode_app(
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,$o),
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,
0.00/0.22	                                                                   app_encode_fun(
0.00/0.22	                                                                   A,$o)),
0.00/0.22	                                                                   'const/sets/DELETE'(
0.00/0.22	                                                                   A),A1),A2)),
0.00/0.22	                                     A0)) =
0.00/0.22	       app_encode_app(app_encode_fun(A,'type/nums/num'),'type/nums/num',
0.00/0.22	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                     app_encode_fun(app_encode_fun(A,
0.00/0.22	                                                                   'type/nums/num'),
0.00/0.22	                                                    'type/nums/num'),
0.00/0.22	                                     'const/iterate/nsum'(A),A1),
0.00/0.22	                      A0))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (![A:$tType,A0:app_encode_fun(A,'type/nums/num'),A1:app_encode_fun(A,$o),
0.00/0.22	       A2:A]:
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(A,
0.00/0.22	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.22	                                       'const/sets/IN'(A),A2),
0.00/0.22	                        A1)) =>
0.00/0.22	        (app_encode_app('type/nums/num','type/nums/num',
0.00/0.22	                        app_encode_app('type/nums/num',
0.00/0.22	                                       app_encode_fun('type/nums/num',
0.00/0.22	                                                      'type/nums/num'),
0.00/0.22	                                       'const/arith/+',
0.00/0.22	                                       app_encode_app(A,'type/nums/num',A0,A2)),
0.00/0.22	                        app_encode_app(app_encode_fun(A,'type/nums/num'),
0.00/0.22	                                       'type/nums/num',
0.00/0.22	                                       app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      A,'type/nums/num'),
0.00/0.22	                                                      'type/nums/num'),
0.00/0.22	                                                      'const/iterate/nsum'(A),
0.00/0.22	                                                      app_encode_app(
0.00/0.22	                                                      A,app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_app(
0.00/0.22	                                                      app_encode_fun(A,$o),
0.00/0.22	                                                      app_encode_fun(
0.00/0.22	                                                      A,app_encode_fun(A,$o)),
0.00/0.22	                                                      'const/sets/DELETE'(A),
0.00/0.22	                                                      A1),A2)),
0.00/0.22	                                       A0)) =
0.00/0.22	         app_encode_app(app_encode_fun(A,'type/nums/num'),'type/nums/num',
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/nums/num'),
0.00/0.22	                                                      'type/nums/num'),
0.00/0.22	                                       'const/iterate/nsum'(A),A1),
0.00/0.22	                        A0)))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.22	      app_encode_app('type/nums/num', 
0.00/0.22	        app_encode_fun('type/nums/num', 'type/nums/num'), 'const/arith/+', 
0.00/0.22	        app_encode_app(sk_A, 'type/nums/num', sk_A0, sk_A2)), 
0.00/0.22	      app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 'type/nums/num', 
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/nums/num'), 
0.00/0.22	            'type/nums/num'), 'const/iterate/nsum'(sk_A), 
0.00/0.22	          app_encode_app(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	              'const/sets/DELETE'(sk_A), sk_A1), sk_A2)), sk_A0))
0.00/0.22	     != app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	          'type/nums/num', 
0.00/0.22	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.22	            app_encode_fun(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	              'type/nums/num'), 'const/iterate/nsum'(sk_A), sk_A1), sk_A0),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_11, axiom,
0.00/0.22	  (![A:$tType]:
0.00/0.22	     ('const/iterate/nsum'(A) =
0.00/0.22	      app_encode_app(app_encode_fun('type/nums/num',
0.00/0.22	                                    app_encode_fun('type/nums/num',
0.00/0.22	                                                   'type/nums/num')),
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/nums/num'),
0.00/0.22	                                                   'type/nums/num')),
0.00/0.22	                     'const/iterate/iterate'(A,'type/nums/num'),
0.00/0.22	                     'const/arith/+')))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X4 : $tType]:
0.00/0.22	      'const/iterate/nsum'(X4)
0.00/0.22	       = app_encode_app(
0.00/0.22	           app_encode_fun('type/nums/num', 
0.00/0.22	             app_encode_fun('type/nums/num', 'type/nums/num')), 
0.00/0.22	           app_encode_fun(app_encode_fun(X4, $o), 
0.00/0.22	             app_encode_fun(app_encode_fun(X4, 'type/nums/num'), 
0.00/0.22	               'type/nums/num')), 
0.00/0.22	           'const/iterate/iterate'(X4, 'type/nums/num'), 'const/arith/+'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.22	tff('2', plain,
0.00/0.22	    app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.22	      app_encode_app('type/nums/num', 
0.00/0.22	        app_encode_fun('type/nums/num', 'type/nums/num'), 'const/arith/+', 
0.00/0.22	        app_encode_app(sk_A, 'type/nums/num', sk_A0, sk_A2)), 
0.00/0.22	      app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 'type/nums/num', 
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/nums/num'), 
0.00/0.22	            'type/nums/num'), 
0.00/0.22	          app_encode_app(
0.00/0.22	            app_encode_fun('type/nums/num', 
0.00/0.22	              app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                'type/nums/num')), 
0.00/0.22	            'const/iterate/iterate'(sk_A, 'type/nums/num'), 'const/arith/+'), 
0.00/0.22	          app_encode_app(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	              'const/sets/DELETE'(sk_A), sk_A1), sk_A2)), sk_A0))
0.00/0.22	     != app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	          'type/nums/num', 
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/nums/num'), 
0.00/0.22	              'type/nums/num'), 
0.00/0.22	            app_encode_app(
0.00/0.22	              app_encode_fun('type/nums/num', 
0.00/0.22	                app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                  'type/nums/num')), 
0.00/0.22	              'const/iterate/iterate'(sk_A, 'type/nums/num'), 
0.00/0.22	              'const/arith/+'), sk_A1), sk_A0),
0.00/0.22	    inference('demod', [status(thm)], ['0', '1', '1'])).
0.00/0.22	tff(zf_stmt_13, axiom,
0.00/0.22	  (app_encode_app(app_encode_fun('type/nums/num',
0.00/0.22	                                 app_encode_fun('type/nums/num',
0.00/0.22	                                                'type/nums/num')),
0.00/0.22	                  $o,'const/iterate/monoidal'('type/nums/num'),
0.00/0.22	                  'const/arith/+'))).
0.00/0.22	tff('3', plain,
0.00/0.22	    app_encode_app(
0.00/0.22	      app_encode_fun('type/nums/num', 
0.00/0.22	        app_encode_fun('type/nums/num', 'type/nums/num')), $o, 
0.00/0.22	      'const/iterate/monoidal'('type/nums/num'), 'const/arith/+'),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.22	tff('4', plain,
0.00/0.22	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.22	      app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.22	        'const/sets/IN'(sk_A), sk_A2), sk_A1),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_12, axiom,
0.00/0.22	  (![A:$tType,B:$tType,A0:app_encode_fun(B,app_encode_fun(B,B))]:
0.00/0.22	     (app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.22	                     'const/iterate/monoidal'(B),A0) =>
0.00/0.22	      (![A1:app_encode_fun(A,B),A2:app_encode_fun(A,$o),A3:A]:
0.00/0.22	         ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A2) & 
0.00/0.22	           app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.22	                          app_encode_app(A,
0.00/0.22	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.22	                                                        $o),
0.00/0.22	                                         'const/sets/IN'(A),A3),
0.00/0.22	                          A2)) =>
0.00/0.22	          (app_encode_app(B,B,
0.00/0.22	                          app_encode_app(B,app_encode_fun(B,B),A0,
0.00/0.22	                                         app_encode_app(A,B,A1,A3)),
0.00/0.22	                          app_encode_app(app_encode_fun(A,B),B,
0.00/0.22	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,B),B),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        B,app_encode_fun(B,B)),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,B),B)),
0.00/0.22	                                                        'const/iterate/iterate'(
0.00/0.22	                                                        A,B),A0),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        A,
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_app(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        A,
0.00/0.22	                                                        app_encode_fun(A,$o)),
0.00/0.22	                                                        'const/sets/DELETE'(
0.00/0.22	                                                        A),A2),A3)),
0.00/0.22	                                         A1)) =
0.00/0.22	           app_encode_app(app_encode_fun(A,B),B,
0.00/0.22	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.22	                                         app_encode_fun(app_encode_fun(A,B),B),
0.00/0.22	                                         app_encode_app(app_encode_fun(
0.00/0.22	                                                        B,app_encode_fun(B,B)),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,$o),
0.00/0.22	                                                        app_encode_fun(
0.00/0.22	                                                        app_encode_fun(A,B),B)),
0.00/0.22	                                                        'const/iterate/iterate'(
0.00/0.22	                                                        A,B),A0),
0.00/0.22	                                         A2),
0.00/0.22	                          A1))))))).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X5 : $tType, X6 : $tType, 
0.00/0.22	      X7 : app_encode_fun(X6, app_encode_fun(X6, X6)), 
0.00/0.22	      X8 : app_encode_fun(X5, $o), X9 : app_encode_fun(X5, X6), X10 : X5]:
0.00/0.22	      (app_encode_app(X6, X6, 
0.00/0.22	         app_encode_app(X6, app_encode_fun(X6, X6), X7, 
0.00/0.22	           app_encode_app(X5, X6, X9, X10)), 
0.00/0.22	         app_encode_app(app_encode_fun(X5, X6), X6, 
0.00/0.22	           app_encode_app(app_encode_fun(X5, $o), 
0.00/0.22	             app_encode_fun(app_encode_fun(X5, X6), X6), 
0.00/0.22	             app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), 
0.00/0.22	               app_encode_fun(app_encode_fun(X5, $o), 
0.00/0.22	                 app_encode_fun(app_encode_fun(X5, X6), X6)), 
0.00/0.22	               'const/iterate/iterate'(X5, X6), X7), 
0.00/0.22	             app_encode_app(X5, app_encode_fun(X5, $o), 
0.00/0.22	               app_encode_app(app_encode_fun(X5, $o), 
0.00/0.22	                 app_encode_fun(X5, app_encode_fun(X5, $o)), 
0.00/0.22	                 'const/sets/DELETE'(X5), X8), X10)), X9))
0.00/0.22	        = app_encode_app(app_encode_fun(X5, X6), X6, 
0.00/0.22	            app_encode_app(app_encode_fun(X5, $o), 
0.00/0.22	              app_encode_fun(app_encode_fun(X5, X6), X6), 
0.00/0.22	              app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), 
0.00/0.22	                app_encode_fun(app_encode_fun(X5, $o), 
0.00/0.22	                  app_encode_fun(app_encode_fun(X5, X6), X6)), 
0.00/0.22	                'const/iterate/iterate'(X5, X6), X7), X8), X9)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X5, $o), $o, 
0.00/0.22	             app_encode_app(X5, app_encode_fun(app_encode_fun(X5, $o), $o), 
0.00/0.22	               'const/sets/IN'(X5), X10), X8)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X5, $o), $o, 
0.00/0.22	             'const/sets/FINITE'(X5), X8)
0.00/0.22	       | ~ app_encode_app(app_encode_fun(X6, app_encode_fun(X6, X6)), $o, 
0.00/0.22	             'const/iterate/monoidal'(X6), X7)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_12])).
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	       | ~ 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(sk_A, X0, X2, sk_A2)), 
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(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	                   'const/sets/DELETE'(sk_A), 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_A1), X2)),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', 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('8', 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(sk_A, X0, X2, sk_A2)), 
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(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	                   'const/sets/DELETE'(sk_A), 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_A1), X2)),
0.00/0.22	    inference('demod', [status(thm)], ['6', '7'])).
0.00/0.22	tff('9', 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(sk_A, X0, X2, sk_A2)), 
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(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	                 'const/sets/DELETE'(sk_A), 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_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)], ['8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0 : app_encode_fun(sk_A, 'type/nums/num')]:
0.00/0.22	      (~ $true
0.00/0.22	       | app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.22	           app_encode_app('type/nums/num', 
0.00/0.22	             app_encode_fun('type/nums/num', 'type/nums/num'), 
0.00/0.22	             'const/arith/+', 
0.00/0.22	             app_encode_app(sk_A, 'type/nums/num', X0, sk_A2)), 
0.00/0.22	           app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	             'type/nums/num', 
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/nums/num'), 
0.00/0.22	                 'type/nums/num'), 
0.00/0.22	               app_encode_app(
0.00/0.22	                 app_encode_fun('type/nums/num', 
0.00/0.22	                   app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                     'type/nums/num')), 
0.00/0.22	                 'const/iterate/iterate'(sk_A, 'type/nums/num'), 
0.00/0.22	                 'const/arith/+'), 
0.00/0.22	               app_encode_app(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	                   'const/sets/DELETE'(sk_A), sk_A1), sk_A2)), X0))
0.00/0.22	          = app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	              'type/nums/num', 
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/nums/num'), 
0.00/0.22	                  'type/nums/num'), 
0.00/0.22	                app_encode_app(
0.00/0.22	                  app_encode_fun('type/nums/num', 
0.00/0.22	                    app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                      'type/nums/num')), 
0.00/0.22	                  'const/iterate/iterate'(sk_A, 'type/nums/num'), 
0.00/0.22	                  'const/arith/+'), sk_A1), X0)),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X0 : app_encode_fun(sk_A, 'type/nums/num')]:
0.00/0.22	      app_encode_app('type/nums/num', 'type/nums/num', 
0.00/0.22	        app_encode_app('type/nums/num', 
0.00/0.22	          app_encode_fun('type/nums/num', 'type/nums/num'), 'const/arith/+', 
0.00/0.22	          app_encode_app(sk_A, 'type/nums/num', X0, sk_A2)), 
0.00/0.22	        app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	          'type/nums/num', 
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/nums/num'), 
0.00/0.22	              'type/nums/num'), 
0.00/0.22	            app_encode_app(
0.00/0.22	              app_encode_fun('type/nums/num', 
0.00/0.22	                app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                  'type/nums/num')), 
0.00/0.22	              'const/iterate/iterate'(sk_A, 'type/nums/num'), 
0.00/0.22	              'const/arith/+'), 
0.00/0.22	            app_encode_app(sk_A, 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(sk_A, app_encode_fun(sk_A, $o)), 
0.00/0.22	                'const/sets/DELETE'(sk_A), sk_A1), sk_A2)), X0))
0.00/0.22	       = app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	           'type/nums/num', 
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/nums/num'), 
0.00/0.22	               'type/nums/num'), 
0.00/0.22	             app_encode_app(
0.00/0.22	               app_encode_fun('type/nums/num', 
0.00/0.22	                 app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                   'type/nums/num')), 
0.00/0.22	               'const/iterate/iterate'(sk_A, 'type/nums/num'), 
0.00/0.22	               'const/arith/+'), sk_A1), X0),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff('12', plain,
0.00/0.22	    app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 'type/nums/num', 
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/nums/num'), 
0.00/0.22	          'type/nums/num'), 
0.00/0.22	        app_encode_app(
0.00/0.22	          app_encode_fun('type/nums/num', 
0.00/0.22	            app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	              'type/nums/num')), 
0.00/0.22	          'const/iterate/iterate'(sk_A, 'type/nums/num'), 'const/arith/+'), 
0.00/0.22	        sk_A1), sk_A0)
0.00/0.22	     != app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.22	          'type/nums/num', 
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/nums/num'), 
0.00/0.22	              'type/nums/num'), 
0.00/0.22	            app_encode_app(
0.00/0.22	              app_encode_fun('type/nums/num', 
0.00/0.22	                app_encode_fun('type/nums/num', 'type/nums/num')), 
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/nums/num'), 
0.00/0.22	                  'type/nums/num')), 
0.00/0.22	              'const/iterate/iterate'(sk_A, 'type/nums/num'), 
0.00/0.22	              'const/arith/+'), sk_A1), sk_A0),
0.00/0.22	    inference('demod', [status(thm)], ['2', '11'])).
0.00/0.22	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
