0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n104.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:37:39 CST 2018
0.00/0.25	% done 12 iterations in 0.045s
0.00/0.25	% SZS status Theorem for 'stdin'
0.00/0.25	% SZS output start Refutation
0.00/0.25	tff(zf_stmt_14, conjecture,
0.00/0.25	  (![A:$tType,A0:$tType,A1:$tType,A2:app_encode_fun(A1,app_encode_fun(A1,A1))]:
0.00/0.25	     (app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),$o,
0.00/0.25	                     'const/iterate/monoidal'(A1),A2) =>
0.00/0.25	      ((![A3:app_encode_fun(A,A1)]:
0.00/0.25	          (app_encode_app(app_encode_fun(A,A1),A1,
0.00/0.25	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                         app_encode_fun(app_encode_fun(A,A1),
0.00/0.25	                                                        A1),
0.00/0.25	                                         app_encode_app(app_encode_fun(
0.00/0.25	                                                        A1,
0.00/0.25	                                                        app_encode_fun(A1,A1)),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,A1),
0.00/0.25	                                                        A1)),
0.00/0.25	                                                        'const/iterate/iterate'(
0.00/0.25	                                                        A,A1),A2),
0.00/0.25	                                         'const/sets/EMPTY'(A)),
0.00/0.25	                          A3) =
0.00/0.25	           app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),A1,
0.00/0.25	                          'const/iterate/neutral'(A1),A2))) & 
0.00/0.25	       (![A3:app_encode_fun(A0,A1),A4:A0,A5:app_encode_fun(A0,$o)]:
0.00/0.25	          (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),A5) =>
0.00/0.25	           (app_encode_app(app_encode_fun(A0,A1),A1,
0.00/0.25	                           app_encode_app(app_encode_fun(A0,$o),
0.00/0.25	                                          app_encode_fun(app_encode_fun(
0.00/0.25	                                                         A0,A1),A1),
0.00/0.25	                                          app_encode_app(app_encode_fun(
0.00/0.25	                                                         A1,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,A1)),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,A1),A1)),
0.00/0.25	                                                         'const/iterate/iterate'(
0.00/0.25	                                                         A0,A1),A2),
0.00/0.25	                                          app_encode_app(app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         A0,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o)),
0.00/0.25	                                                         'const/sets/INSERT'(
0.00/0.25	                                                         A0),A4),A5)),
0.00/0.25	                           A3) =
0.00/0.25	            app_encode_app(A1,A1,
0.00/0.25	                           app_encode_app(A1,app_encode_fun(A1,A1),
0.00/0.25	                                          app_encode_app($o,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,A1)),
0.00/0.25	                                                         'const/class/COND'(
0.00/0.25	                                                         A1),
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),$o,
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         A0,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),$o),
0.00/0.25	                                                         'const/sets/IN'(A0),
0.00/0.25	                                                         A4),A5)),
0.00/0.25	                                          app_encode_app(app_encode_fun(
0.00/0.25	                                                         A0,A1),A1,
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,A1),A1),
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,A1)),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,A1),A1)),
0.00/0.25	                                                         'const/iterate/iterate'(
0.00/0.25	                                                         A0,A1),A2),A5),A3)),
0.00/0.25	                           app_encode_app(A1,A1,
0.00/0.25	                                          app_encode_app(A1,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,A1),A2,
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         A0,A1,A3,A4)),
0.00/0.25	                                          app_encode_app(app_encode_fun(
0.00/0.25	                                                         A0,A1),A1,
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,A1),A1),
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A1,A1)),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         A0,A1),A1)),
0.00/0.25	                                                         'const/iterate/iterate'(
0.00/0.25	                                                         A0,A1),A2),A5),A3)))))))))).
0.00/0.25	tff(zf_stmt_0, negated_conjecture,
0.00/0.25	  (~
0.00/0.25	    (![A:$tType,A0:$tType,A1:$tType,
0.00/0.25	       A2:app_encode_fun(A1,app_encode_fun(A1,A1))]:
0.00/0.25	       (app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),$o,
0.00/0.25	                       'const/iterate/monoidal'(A1),A2) =>
0.00/0.25	        ((![A3:app_encode_fun(A,A1)]:
0.00/0.25	            (app_encode_app(app_encode_fun(A,A1),A1,
0.00/0.25	                            app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                           app_encode_fun(app_encode_fun(
0.00/0.25	                                                          A,A1),A1),
0.00/0.25	                                           app_encode_app(app_encode_fun(
0.00/0.25	                                                          A1,
0.00/0.25	                                                          app_encode_fun(
0.00/0.25	                                                          A1,A1)),
0.00/0.25	                                                          app_encode_fun(
0.00/0.25	                                                          app_encode_fun(
0.00/0.25	                                                          A,$o),
0.00/0.25	                                                          app_encode_fun(
0.00/0.25	                                                          app_encode_fun(
0.00/0.25	                                                          A,A1),A1)),
0.00/0.25	                                                          'const/iterate/iterate'(
0.00/0.25	                                                          A,A1),A2),
0.00/0.25	                                           'const/sets/EMPTY'(A)),
0.00/0.25	                            A3) =
0.00/0.25	             app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),A1,
0.00/0.25	                            'const/iterate/neutral'(A1),A2))) & 
0.00/0.25	         (![A3:app_encode_fun(A0,A1),A4:A0,A5:app_encode_fun(A0,$o)]:
0.00/0.25	            (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),
0.00/0.25	                            A5) =>
0.00/0.25	             (app_encode_app(app_encode_fun(A0,A1),A1,
0.00/0.25	                             app_encode_app(app_encode_fun(A0,$o),
0.00/0.25	                                            app_encode_fun(app_encode_fun(
0.00/0.25	                                                           A0,A1),A1),
0.00/0.25	                                            app_encode_app(app_encode_fun(
0.00/0.25	                                                           A1,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,A1)),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,A1),A1)),
0.00/0.25	                                                           'const/iterate/iterate'(
0.00/0.25	                                                           A0,A1),A2),
0.00/0.25	                                            app_encode_app(app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           A0,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o)),
0.00/0.25	                                                           'const/sets/INSERT'(
0.00/0.25	                                                           A0),A4),A5)),
0.00/0.25	                             A3) =
0.00/0.25	              app_encode_app(A1,A1,
0.00/0.25	                             app_encode_app(A1,app_encode_fun(A1,A1),
0.00/0.25	                                            app_encode_app($o,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,A1)),
0.00/0.25	                                                           'const/class/COND'(
0.00/0.25	                                                           A1),
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),$o,
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           A0,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),$o),
0.00/0.25	                                                           'const/sets/IN'(
0.00/0.25	                                                           A0),A4),A5)),
0.00/0.25	                                            app_encode_app(app_encode_fun(
0.00/0.25	                                                           A0,A1),A1,
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,A1),A1),
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,A1)),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,A1),A1)),
0.00/0.25	                                                           'const/iterate/iterate'(
0.00/0.25	                                                           A0,A1),A2),A5),A3)),
0.00/0.25	                             app_encode_app(A1,A1,
0.00/0.25	                                            app_encode_app(A1,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,A1),A2,
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           A0,A1,A3,A4)),
0.00/0.25	                                            app_encode_app(app_encode_fun(
0.00/0.25	                                                           A0,A1),A1,
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,A1),A1),
0.00/0.25	                                                           app_encode_app(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A1,A1)),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,$o),
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           app_encode_fun(
0.00/0.25	                                                           A0,A1),A1)),
0.00/0.25	                                                           'const/iterate/iterate'(
0.00/0.25	                                                           A0,A1),A2),A5),A3))))))))))).
0.00/0.25	tff('0', plain,
0.00/0.25	    app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), $o, 
0.00/0.25	      'const/iterate/monoidal'(sk_A1), sk_A2),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.25	tff(zf_stmt_13, axiom,
0.00/0.25	  (![A:$tType,A0:$tType,A1:app_encode_fun(A,app_encode_fun(A,A)),
0.00/0.25	     A2:app_encode_fun(A0,A),A3:app_encode_fun(A0,$o)]:
0.00/0.25	     (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),A3) =>
0.00/0.25	      app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),
0.00/0.25	                     app_encode_app(app_encode_fun(A0,$o),
0.00/0.25	                                    app_encode_fun(A0,$o),
0.00/0.25	                                    app_encode_app(app_encode_fun(A0,A),
0.00/0.25	                                                   app_encode_fun(app_encode_fun(
0.00/0.25	                                                                  A0,$o),
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  A0,$o)),
0.00/0.25	                                                   app_encode_app(app_encode_fun(
0.00/0.25	                                                                  A,
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  A,A)),
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  A0,A),
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  A0,$o),
0.00/0.25	                                                                  app_encode_fun(
0.00/0.25	                                                                  A0,$o))),
0.00/0.25	                                                                  'const/iterate/support'(
0.00/0.25	                                                                  A,A0),A1),
0.00/0.25	                                                   A2),
0.00/0.25	                                    A3))))).
0.00/0.25	tff('1', plain,
0.00/0.25	    ![X11 : $tType, X12 : $tType, 
0.00/0.25	      X13 : app_encode_fun(X12, app_encode_fun(X12, X12)), 
0.00/0.25	      X14 : app_encode_fun(X11, X12), X15 : app_encode_fun(X11, $o)]:
0.00/0.25	      (app_encode_app(app_encode_fun(X11, $o), $o, 'const/sets/FINITE'(X11), 
0.00/0.25	         app_encode_app(app_encode_fun(X11, $o), app_encode_fun(X11, $o), 
0.00/0.25	           app_encode_app(app_encode_fun(X11, X12), 
0.00/0.25	             app_encode_fun(app_encode_fun(X11, $o), app_encode_fun(X11, $o)), 
0.00/0.25	             app_encode_app(app_encode_fun(X12, app_encode_fun(X12, X12)), 
0.00/0.25	               app_encode_fun(app_encode_fun(X11, X12), 
0.00/0.25	                 app_encode_fun(app_encode_fun(X11, $o), 
0.00/0.25	                   app_encode_fun(X11, $o))), 
0.00/0.25	               'const/iterate/support'(X12, X11), X13), X14), X15))
0.00/0.25	       | ~ app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.25	             'const/sets/FINITE'(X11), X15)),
0.00/0.25	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.25	tff(zf_stmt_12, axiom,
0.00/0.25	  (![A:$tType,B:$tType,A0:app_encode_fun(B,app_encode_fun(B,B))]:
0.00/0.25	     (app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.25	                     'const/iterate/monoidal'(B),A0) =>
0.00/0.25	      ((![A1:app_encode_fun(A,B)]:
0.00/0.25	          (app_encode_app(app_encode_fun(A,B),B,
0.00/0.25	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                         app_encode_fun(app_encode_fun(A,B),B),
0.00/0.25	                                         app_encode_app(app_encode_fun(
0.00/0.25	                                                        B,app_encode_fun(B,B)),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,$o),
0.00/0.25	                                                        app_encode_fun(
0.00/0.25	                                                        app_encode_fun(A,B),B)),
0.00/0.25	                                                        'const/iterate/iterate'(
0.00/0.25	                                                        A,B),A0),
0.00/0.25	                                         'const/sets/EMPTY'(A)),
0.00/0.25	                          A1) =
0.00/0.25	           app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),B,
0.00/0.25	                          'const/iterate/neutral'(B),A0))) & 
0.00/0.25	       (![A1:app_encode_fun(A,B),A2:A,A3:app_encode_fun(A,$o)]:
0.00/0.25	          ((app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.25	                           'const/iterate/monoidal'(B),A0) & 
0.00/0.25	            app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),
0.00/0.25	                           app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                          app_encode_fun(A,$o),
0.00/0.25	                                          app_encode_app(app_encode_fun(A,B),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(A,$o),
0.00/0.25	                                                         app_encode_fun(A,$o)),
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         B,
0.00/0.25	                                                         app_encode_fun(B,B)),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(A,B),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(A,$o),
0.00/0.25	                                                         app_encode_fun(A,$o))),
0.00/0.25	                                                         'const/iterate/support'(
0.00/0.25	                                                         B,A),A0),A1),
0.00/0.25	                                          A3))) =>
0.00/0.25	           (app_encode_app(app_encode_fun(A,B),B,
0.00/0.25	                           app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                          app_encode_fun(app_encode_fun(A,B),
0.00/0.25	                                                         B),
0.00/0.25	                                          app_encode_app(app_encode_fun(
0.00/0.25	                                                         B,
0.00/0.25	                                                         app_encode_fun(B,B)),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(A,$o),
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(A,B),
0.00/0.25	                                                         B)),
0.00/0.25	                                                         'const/iterate/iterate'(
0.00/0.25	                                                         A,B),A0),
0.00/0.25	                                          app_encode_app(app_encode_fun(A,$o),
0.00/0.25	                                                         app_encode_fun(A,$o),
0.00/0.25	                                                         app_encode_app(
0.00/0.25	                                                         A,
0.00/0.25	                                                         app_encode_fun(
0.00/0.25	                                                         app_encode_fun(A,$o),
0.00/0.25	                                                         app_encode_fun(A,$o)),
0.00/0.26	                                                         'const/sets/INSERT'(
0.00/0.26	                                                         A),A2),A3)),
0.00/0.26	                           A1) =
0.00/0.26	            app_encode_app(B,B,
0.00/0.26	                           app_encode_app(B,app_encode_fun(B,B),
0.00/0.26	                                          app_encode_app($o,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         'const/class/COND'(
0.00/0.26	                                                         B),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         $o,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         $o),
0.00/0.26	                                                         'const/sets/IN'(A),
0.00/0.26	                                                         A2),A3)),
0.00/0.26	                                          app_encode_app(app_encode_fun(A,B),
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A,B),A0),A3),A1)),
0.00/0.26	                           app_encode_app(B,B,
0.00/0.26	                                          app_encode_app(B,
0.00/0.26	                                                         app_encode_fun(B,B),
0.00/0.26	                                                         A0,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A,B,A1,A2)),
0.00/0.26	                                          app_encode_app(app_encode_fun(A,B),
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A,B),A0),A3),A1)))))))))).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X4 : $tType, X5 : app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	      X6 : $tType, X8 : X6, X9 : app_encode_fun(X6, $o), 
0.00/0.26	      X10 : app_encode_fun(X6, X4)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	         app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	           app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	             app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	             'const/iterate/iterate'(X6, X4), X5), 
0.00/0.26	           app_encode_app(app_encode_fun(X6, $o), app_encode_fun(X6, $o), 
0.00/0.26	             app_encode_app(X6, 
0.00/0.26	               app_encode_fun(app_encode_fun(X6, $o), app_encode_fun(X6, $o)), 
0.00/0.26	               'const/sets/INSERT'(X6), X8), X9)), X10)
0.00/0.26	        = app_encode_app(X4, X4, 
0.00/0.26	            app_encode_app(X4, app_encode_fun(X4, X4), 
0.00/0.26	              app_encode_app($o, app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                'const/class/COND'(X4), 
0.00/0.26	                app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.26	                  app_encode_app(X6, 
0.00/0.26	                    app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.26	                    'const/sets/IN'(X6), X8), X9)), 
0.00/0.26	              app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	                app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	                  app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	                    'const/iterate/iterate'(X6, X4), X5), X9), X10)), 
0.00/0.26	            app_encode_app(X4, X4, 
0.00/0.26	              app_encode_app(X4, app_encode_fun(X4, X4), X5, 
0.00/0.26	                app_encode_app(X6, X4, X10, X8)), 
0.00/0.26	              app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	                app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	                  app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	                    'const/iterate/iterate'(X6, X4), X5), X9), X10)))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X6), 
0.00/0.26	             app_encode_app(app_encode_fun(X6, $o), app_encode_fun(X6, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X6, X4), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                   app_encode_fun(X6, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X6, X4), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                       app_encode_fun(X6, $o))), 
0.00/0.26	                   'const/iterate/support'(X4, X6), X5), X10), X9))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X4), X5)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X4), X5)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X4 : $tType, X5 : app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	      X6 : $tType, X8 : X6, X9 : app_encode_fun(X6, $o), 
0.00/0.26	      X10 : app_encode_fun(X6, X4)]:
0.00/0.26	      (~ app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), $o, 
0.00/0.26	           'const/iterate/monoidal'(X4), X5)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X6), 
0.00/0.26	             app_encode_app(app_encode_fun(X6, $o), app_encode_fun(X6, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X6, X4), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                   app_encode_fun(X6, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X6, X4), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                       app_encode_fun(X6, $o))), 
0.00/0.26	                   'const/iterate/support'(X4, X6), X5), X10), X9))
0.00/0.26	       | app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	           app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	             app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	               'const/iterate/iterate'(X6, X4), X5), 
0.00/0.26	             app_encode_app(app_encode_fun(X6, $o), app_encode_fun(X6, $o), 
0.00/0.26	               app_encode_app(X6, 
0.00/0.26	                 app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                   app_encode_fun(X6, $o)), 'const/sets/INSERT'(X6), X8), X9)), 
0.00/0.26	           X10)
0.00/0.26	          = app_encode_app(X4, X4, 
0.00/0.26	              app_encode_app(X4, app_encode_fun(X4, X4), 
0.00/0.26	                app_encode_app($o, 
0.00/0.26	                  app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                  'const/class/COND'(X4), 
0.00/0.26	                  app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.26	                    app_encode_app(X6, 
0.00/0.26	                      app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.26	                      'const/sets/IN'(X6), X8), X9)), 
0.00/0.26	                app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	                  app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	                      'const/iterate/iterate'(X6, X4), X5), X9), X10)), 
0.00/0.26	              app_encode_app(X4, X4, 
0.00/0.26	                app_encode_app(X4, app_encode_fun(X4, X4), X5, 
0.00/0.26	                  app_encode_app(X6, X4, X10, X8)), 
0.00/0.26	                app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	                  app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	                      'const/iterate/iterate'(X6, X4), X5), X9), X10)))),
0.00/0.26	    inference('simplify', [status(thm)], ['2'])).
0.00/0.26	tff('4', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : $tType, 
0.00/0.26	      X3 : app_encode_fun(X0, X2), 
0.00/0.26	      X4 : app_encode_fun(X2, app_encode_fun(X2, X2)), X5 : X0]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X0), X1)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, X2), X2, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, X2), X2), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, X2), X2)), 
0.00/0.26	               'const/iterate/iterate'(X0, X2), X4), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_app(X0, 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o)), 'const/sets/INSERT'(X0), X5), X1)), 
0.00/0.26	           X3)
0.00/0.26	          = app_encode_app(X2, X2, 
0.00/0.26	              app_encode_app(X2, app_encode_fun(X2, X2), 
0.00/0.26	                app_encode_app($o, 
0.00/0.26	                  app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	                  'const/class/COND'(X2), 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	                    app_encode_app(X0, 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	                      'const/sets/IN'(X0), X5), X1)), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, X2), X2, 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, X2), X2), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X0, X2), X2)), 
0.00/0.26	                      'const/iterate/iterate'(X0, X2), X4), X1), X3)), 
0.00/0.26	              app_encode_app(X2, X2, 
0.00/0.26	                app_encode_app(X2, app_encode_fun(X2, X2), X4, 
0.00/0.26	                  app_encode_app(X0, X2, X3, X5)), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, X2), X2, 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, X2), X2), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X0, X2), X2)), 
0.00/0.26	                      'const/iterate/iterate'(X0, X2), X4), X1), X3)))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X2), X4)),
0.00/0.26	    inference('sup-', [status(thm)], ['1', '3'])).
0.00/0.26	tff('5', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : $tType, 
0.00/0.26	      X3 : app_encode_fun(X0, X2), 
0.00/0.26	      X4 : app_encode_fun(X2, app_encode_fun(X2, X2)), X5 : X0]:
0.00/0.26	      (~ app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), $o, 
0.00/0.26	           'const/iterate/monoidal'(X2), X4)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, X2), X2, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, X2), X2), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, X2), X2)), 
0.00/0.26	               'const/iterate/iterate'(X0, X2), X4), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_app(X0, 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o)), 'const/sets/INSERT'(X0), X5), X1)), 
0.00/0.26	           X3)
0.00/0.26	          = app_encode_app(X2, X2, 
0.00/0.26	              app_encode_app(X2, app_encode_fun(X2, X2), 
0.00/0.26	                app_encode_app($o, 
0.00/0.26	                  app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	                  'const/class/COND'(X2), 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	                    app_encode_app(X0, 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	                      'const/sets/IN'(X0), X5), X1)), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, X2), X2, 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, X2), X2), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X0, X2), X2)), 
0.00/0.26	                      'const/iterate/iterate'(X0, X2), X4), X1), X3)), 
0.00/0.26	              app_encode_app(X2, X2, 
0.00/0.26	                app_encode_app(X2, app_encode_fun(X2, X2), X4, 
0.00/0.26	                  app_encode_app(X0, X2, X3, X5)), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, X2), X2, 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, X2), X2), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X2, app_encode_fun(X2, X2)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X0, X2), X2)), 
0.00/0.26	                      'const/iterate/iterate'(X0, X2), X4), X1), X3)))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X0), X1)),
0.00/0.26	    inference('simplify', [status(thm)], ['4'])).
0.00/0.26	tff('6', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), 
0.00/0.26	      X2 : app_encode_fun(X0, sk_A1), X3 : X0]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X0), X1)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(X0, sk_A1), sk_A2), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_app(X0, 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o)), 'const/sets/INSERT'(X0), X3), X1)), 
0.00/0.26	           X2)
0.00/0.26	          = app_encode_app(sk_A1, sk_A1, 
0.00/0.26	              app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	                app_encode_app($o, 
0.00/0.26	                  app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                  'const/class/COND'(sk_A1), 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	                    app_encode_app(X0, 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	                      'const/sets/IN'(X0), X3), X1)), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	                      'const/iterate/iterate'(X0, sk_A1), sk_A2), X1), X2)), 
0.00/0.26	              app_encode_app(sk_A1, sk_A1, 
0.00/0.26	                app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	                  app_encode_app(X0, sk_A1, X2, X3)), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	                      'const/iterate/iterate'(X0, sk_A1), sk_A2), X1), X2)))),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '5'])).
0.00/0.26	tff('7', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), 
0.00/0.26	      X2 : app_encode_fun(X0, sk_A1), X3 : X0]:
0.00/0.26	      (app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(X0, sk_A1), sk_A2), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_app(X0, 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.26	               'const/sets/INSERT'(X0), X3), X1)), X2)
0.00/0.26	        = app_encode_app(sk_A1, sk_A1, 
0.00/0.26	            app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	              app_encode_app($o, 
0.00/0.26	                app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                'const/class/COND'(sk_A1), 
0.00/0.26	                app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	                  app_encode_app(X0, 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	                    'const/sets/IN'(X0), X3), X1)), 
0.00/0.26	              app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	                  app_encode_app(
0.00/0.26	                    app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	                    'const/iterate/iterate'(X0, sk_A1), sk_A2), X1), X2)), 
0.00/0.26	            app_encode_app(sk_A1, sk_A1, 
0.00/0.26	              app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	                app_encode_app(X0, sk_A1, X2, X3)), 
0.00/0.26	              app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	                app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	                  app_encode_app(
0.00/0.26	                    app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	                    'const/iterate/iterate'(X0, sk_A1), sk_A2), X1), X2)))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X0), X1)),
0.00/0.26	    inference('simplify', [status(thm)], ['6'])).
0.00/0.26	tff('8', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	         'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_app(sk_A0, 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), 
0.00/0.26	               sk_A4), sk_A5)), sk_A31)
0.00/0.26	        != app_encode_app(sk_A1, sk_A1, 
0.00/0.26	             app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	               app_encode_app($o, 
0.00/0.26	                 app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                 'const/class/COND'(sk_A1), 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	                   app_encode_app(sk_A0, 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	                     'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                   app_encode_app(
0.00/0.26	                     app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                       app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                     'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	                 sk_A31)), 
0.00/0.26	             app_encode_app(sk_A1, sk_A1, 
0.00/0.26	               app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	                 app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                   app_encode_app(
0.00/0.26	                     app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                       app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                     'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	                 sk_A31)))),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X4 : $tType, X5 : app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	      X6 : $tType, X7 : app_encode_fun(X6, X4)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X6, X4), X4, 
0.00/0.26	         app_encode_app(app_encode_fun(X6, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X6, X4), X4), 
0.00/0.26	           app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), 
0.00/0.26	             app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X6, X4), X4)), 
0.00/0.26	             'const/iterate/iterate'(X6, X4), X5), 'const/sets/EMPTY'(X6)), 
0.00/0.26	         X7)
0.00/0.26	        = app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), X4, 
0.00/0.26	            'const/iterate/neutral'(X4), X5)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X4, app_encode_fun(X4, X4)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X4), X5)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, sk_A1)]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(X0, sk_A1), sk_A2), 
0.00/0.26	             'const/sets/EMPTY'(X0)), X1)
0.00/0.26	          = app_encode_app(
0.00/0.26	              app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), sk_A1, 
0.00/0.26	              'const/iterate/neutral'(sk_A1), sk_A2)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '9'])).
0.00/0.26	tff('11', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, sk_A1)]:
0.00/0.26	      app_encode_app(app_encode_fun(X0, sk_A1), sk_A1, 
0.00/0.26	        app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	          app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1), 
0.00/0.26	          app_encode_app(
0.00/0.26	            app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	            app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	              app_encode_fun(app_encode_fun(X0, sk_A1), sk_A1)), 
0.00/0.26	            'const/iterate/iterate'(X0, sk_A1), sk_A2), 
0.00/0.26	          'const/sets/EMPTY'(X0)), X1)
0.00/0.26	       = app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2),
0.00/0.26	    inference('simplify', [status(thm)], ['10'])).
0.00/0.26	tff('12', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	       sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_app(sk_A0, 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), 
0.00/0.26	               sk_A4), sk_A5)), sk_A31)
0.00/0.26	        != app_encode_app(sk_A1, sk_A1, 
0.00/0.26	             app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	               app_encode_app($o, 
0.00/0.26	                 app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                 'const/class/COND'(sk_A1), 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	                   app_encode_app(sk_A0, 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	                     'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                   app_encode_app(
0.00/0.26	                     app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                       app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                     'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	                 sk_A31)), 
0.00/0.26	             app_encode_app(sk_A1, sk_A1, 
0.00/0.26	               app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	                 app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                   app_encode_app(
0.00/0.26	                     app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                       app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                     'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	                 sk_A31)))),
0.00/0.26	    inference('demod', [status(thm)], ['8', '11'])).
0.00/0.26	tff('13', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	      app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	        app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	        app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	          app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	            app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	          'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	        app_encode_app(app_encode_fun(sk_A0, $o), app_encode_fun(sk_A0, $o), 
0.00/0.26	          app_encode_app(sk_A0, 
0.00/0.26	            app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	              app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), sk_A4), 
0.00/0.26	          sk_A5)), sk_A31)
0.00/0.26	     != app_encode_app(sk_A1, sk_A1, 
0.00/0.26	          app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	            app_encode_app($o, 
0.00/0.26	              app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	              'const/class/COND'(sk_A1), 
0.00/0.26	              app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	                app_encode_app(sk_A0, 
0.00/0.26	                  app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	                  'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	            app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	              app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                app_encode_app(
0.00/0.26	                  app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                  app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                  'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	              sk_A31)), 
0.00/0.26	          app_encode_app(sk_A1, sk_A1, 
0.00/0.26	            app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	              app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	            app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	              app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                app_encode_app(
0.00/0.26	                  app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                  app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                  'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	              sk_A31))),
0.00/0.26	    inference('simplify', [status(thm)], ['12'])).
0.00/0.26	tff('14', plain,
0.00/0.26	    (app_encode_app(sk_A1, sk_A1, 
0.00/0.26	       app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	         app_encode_app($o, 
0.00/0.26	           app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           'const/class/COND'(sk_A1), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	             app_encode_app(sk_A0, 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	               'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), sk_A31)), 
0.00/0.26	       app_encode_app(sk_A1, sk_A1, 
0.00/0.26	         app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	           app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), sk_A31)))
0.00/0.26	      != app_encode_app(sk_A1, sk_A1, 
0.00/0.26	           app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	             app_encode_app($o, 
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               'const/class/COND'(sk_A1), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	                 app_encode_app(sk_A0, 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	                   'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                 app_encode_app(
0.00/0.26	                   app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                   'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	               sk_A31)), 
0.00/0.26	           app_encode_app(sk_A1, sk_A1, 
0.00/0.26	             app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	               app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                 app_encode_app(
0.00/0.26	                   app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                   'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	               sk_A31)))
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	           'const/sets/FINITE'(sk_A0), sk_A5)),
0.00/0.26	    inference('sup-', [status(thm)], ['7', '13'])).
0.00/0.26	tff('15', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	         'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	         'const/sets/FINITE'(sk_A0), sk_A5)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('16', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	       sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	         'const/sets/FINITE'(sk_A0), sk_A5)),
0.00/0.26	    inference('demod', [status(thm)], ['15', '11'])).
0.00/0.26	tff('17', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	      'const/sets/FINITE'(sk_A0), sk_A5),
0.00/0.26	    inference('simplify', [status(thm)], ['16'])).
0.00/0.26	tff('18', plain,
0.00/0.26	    (app_encode_app(sk_A1, sk_A1, 
0.00/0.26	       app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	         app_encode_app($o, 
0.00/0.26	           app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           'const/class/COND'(sk_A1), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	             app_encode_app(sk_A0, 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	               'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), sk_A31)), 
0.00/0.26	       app_encode_app(sk_A1, sk_A1, 
0.00/0.26	         app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	           app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), sk_A31)))
0.00/0.26	      != app_encode_app(sk_A1, sk_A1, 
0.00/0.26	           app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	             app_encode_app($o, 
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               'const/class/COND'(sk_A1), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	                 app_encode_app(sk_A0, 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	                   'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                 app_encode_app(
0.00/0.26	                   app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                   'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	               sk_A31)), 
0.00/0.26	           app_encode_app(sk_A1, sk_A1, 
0.00/0.26	             app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	               app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                 app_encode_app(
0.00/0.26	                   app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                   'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	               sk_A31)))
0.00/0.26	     | ~ $true),
0.00/0.26	    inference('demod', [status(thm)], ['14', '17'])).
0.00/0.26	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
0.00/0.26	
0.00/0.26	% SZS output end Refutation
0.00/0.26	EOF
