0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n133.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:37:39 CST 2018
0.00/0.26	% done 39 iterations in 0.062s
0.00/0.26	% SZS status Theorem for 'stdin'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff(zf_stmt_15, axiom,
0.00/0.26	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.26	     ((A0 = A1) <=>
0.00/0.26	      (![A2:A]:
0.00/0.26	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                         app_encode_app(A,
0.00/0.26	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.26	                                                       $o),
0.00/0.26	                                        'const/sets/IN'(A),A2),
0.00/0.26	                         A0) <=>
0.00/0.26	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                         app_encode_app(A,
0.00/0.26	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.26	                                                       $o),
0.00/0.26	                                        'const/sets/IN'(A),A2),
0.00/0.26	                         A1)))))).
0.00/0.26	tff('0', plain,
0.00/0.26	    ![X11 : $tType, X14 : app_encode_fun(X11, $o), 
0.00/0.26	      X16 : app_encode_fun(X11, $o)]:
0.00/0.26	      (X14 = X16
0.00/0.26	       | app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.26	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
0.00/0.26	             'const/sets/IN'(X11), sk_A2(X11, X16, X14)), X16)
0.00/0.26	       | app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.26	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
0.00/0.26	             'const/sets/IN'(X11), sk_A2(X11, X16, X14)), X14)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_15])).
0.00/0.26	tff(zf_stmt_14, axiom,
0.00/0.26	  (![A:$tType,A0:A]:
0.00/0.26	     (~
0.00/0.26	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                      app_encode_app(A,
0.00/0.26	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                     'const/sets/IN'(A),A0),
0.00/0.26	                      'const/sets/EMPTY'(A))))).
0.00/0.26	tff('1', plain,
0.00/0.26	    ![X9 : $tType, X10 : X9]:
0.00/0.26	      ~ app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.26	          app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.26	            'const/sets/IN'(X9), X10), 'const/sets/EMPTY'(X9)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/IN'(X0), sk_A2(X0, 'const/sets/EMPTY'(X0), X1)), X1)
0.00/0.26	       | X1 = 'const/sets/EMPTY'(X0)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.26	      (X1 = 'const/sets/EMPTY'(X0)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/IN'(X0), sk_A2(X0, 'const/sets/EMPTY'(X0), X1)), X1)),
0.00/0.26	    inference('simplify', [status(thm)], ['2'])).
0.00/0.26	tff(zf_stmt_13, axiom,
0.00/0.26	  (![A:$tType,A0:$tType,A1:app_encode_fun(A0,app_encode_fun(A0,A0)),
0.00/0.26	     A2:app_encode_fun(A,A0),A3:A,A4:app_encode_fun(A,$o)]:
0.00/0.26	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                     app_encode_app(A,
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                    'const/sets/IN'(A),A3),
0.00/0.26	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_app(app_encode_fun(A,A0),
0.00/0.26	                                                   app_encode_fun(app_encode_fun(
0.00/0.26	                                                                  A,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o)),
0.00/0.26	                                                   app_encode_app(app_encode_fun(
0.00/0.26	                                                                  A0,
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,A0)),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,A0),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o))),
0.00/0.26	                                                                  'const/iterate/support'(
0.00/0.26	                                                                  A0,A),A1),
0.00/0.26	                                                   A2),
0.00/0.26	                                    A4)) <=>
0.00/0.26	      (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                      app_encode_app(A,
0.00/0.26	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                     'const/sets/IN'(A),A3),
0.00/0.26	                      A4) & 
0.00/0.26	       (app_encode_app(A,A0,A2,A3) !=
0.00/0.26	        app_encode_app(app_encode_fun(A0,app_encode_fun(A0,A0)),A0,
0.00/0.26	                       'const/iterate/neutral'(A0),A1)))))).
0.00/0.26	tff('4', plain,
0.00/0.26	    ![X2 : $tType, X3 : X2, X4 : app_encode_fun(X2, $o), X5 : $tType, 
0.00/0.26	      X6 : app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.26	      X7 : app_encode_fun(X2, X5)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	         app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.26	           'const/sets/IN'(X2), X3), X4)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	             app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.26	               'const/sets/IN'(X2), X3), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, $o), app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X2, X5), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                   app_encode_fun(X2, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X2, X5), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                       app_encode_fun(X2, $o))), 
0.00/0.26	                   'const/iterate/support'(X5, X2), X6), X7), X4))),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_13])).
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))]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o))), 
0.00/0.26	               'const/iterate/support'(X2, X0), X4), X3), X1)
0.00/0.26	          = 'const/sets/EMPTY'(X0)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/IN'(X0), 
0.00/0.26	             sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.26	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                     app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                       app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                         app_encode_fun(X0, $o))), 
0.00/0.26	                     'const/iterate/support'(X2, X0), X4), X3), X1))), X1)),
0.00/0.26	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.26	tff('6', 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))]:
0.00/0.26	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	           'const/sets/IN'(X0), 
0.00/0.26	           sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                       app_encode_fun(X0, $o))), 
0.00/0.26	                   'const/iterate/support'(X2, X0), X4), X3), X1))), X1)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o))), 
0.00/0.26	               'const/iterate/support'(X2, X0), X4), X3), X1)
0.00/0.26	          = 'const/sets/EMPTY'(X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['5'])).
0.00/0.26	tff(zf_stmt_20, conjecture,
0.00/0.26	  (![A:$tType,B:$tType,A0:app_encode_fun(B,app_encode_fun(B,B))]:
0.00/0.26	     (app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.26	                     'const/iterate/monoidal'(B),A0) =>
0.00/0.26	      (![A1:app_encode_fun(A,B),A2:app_encode_fun(A,$o)]:
0.00/0.26	         ((![A3:A]:
0.00/0.26	             (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                             app_encode_app(A,
0.00/0.26	                                            app_encode_fun(app_encode_fun(
0.00/0.26	                                                           A,$o),$o),
0.00/0.26	                                            'const/sets/IN'(A),A3),
0.00/0.26	                             A2) =>
0.00/0.26	              (app_encode_app(A,B,A1,A3) =
0.00/0.26	               app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),B,
0.00/0.26	                              'const/iterate/neutral'(B),A0)))) =>
0.00/0.26	          (app_encode_app(app_encode_fun(A,B),B,
0.00/0.26	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                         app_encode_fun(app_encode_fun(A,B),B),
0.00/0.26	                                         app_encode_app(app_encode_fun(
0.00/0.26	                                                        B,app_encode_fun(B,B)),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,$o),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,B),B)),
0.00/0.26	                                                        'const/iterate/iterate'(
0.00/0.26	                                                        A,B),A0),
0.00/0.26	                                         A2),
0.00/0.26	                          A1) =
0.00/0.26	           app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),B,
0.00/0.26	                          'const/iterate/neutral'(B),A0))))))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![A:$tType,B:$tType,A0:app_encode_fun(B,app_encode_fun(B,B))]:
0.00/0.26	       (app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.26	                       'const/iterate/monoidal'(B),A0) =>
0.00/0.26	        (![A1:app_encode_fun(A,B),A2:app_encode_fun(A,$o)]:
0.00/0.26	           ((![A3:A]:
0.00/0.26	               (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                               app_encode_app(A,
0.00/0.26	                                              app_encode_fun(app_encode_fun(
0.00/0.26	                                                             A,$o),$o),
0.00/0.26	                                              'const/sets/IN'(A),A3),
0.00/0.26	                               A2) =>
0.00/0.26	                (app_encode_app(A,B,A1,A3) =
0.00/0.26	                 app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),B,
0.00/0.26	                                'const/iterate/neutral'(B),A0)))) =>
0.00/0.26	            (app_encode_app(app_encode_fun(A,B),B,
0.00/0.26	                            app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                           app_encode_fun(app_encode_fun(A,B),
0.00/0.26	                                                          B),
0.00/0.26	                                           app_encode_app(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(
0.00/0.26	                                                          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),
0.00/0.26	                                           A2),
0.00/0.26	                            A1) =
0.00/0.26	             app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),B,
0.00/0.26	                            'const/iterate/neutral'(B),A0)))))))).
0.00/0.26	tff('7', plain,
0.00/0.26	    ![X34 : sk_A]:
0.00/0.26	      (app_encode_app(sk_A, sk_B, sk_A1, X34)
0.00/0.26	        = app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	            sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	             app_encode_app(sk_A, 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	               'const/sets/IN'(sk_A), X34), sk_A21)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('8', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(sk_A, X0), 
0.00/0.26	      X2 : app_encode_fun(X0, app_encode_fun(X0, X0))]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, X0), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(sk_A, $o)), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, X0), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                   app_encode_fun(sk_A, $o))), 
0.00/0.26	               'const/iterate/support'(X0, sk_A), X2), X1), sk_A21)
0.00/0.26	          = 'const/sets/EMPTY'(sk_A)
0.00/0.26	       | app_encode_app(sk_A, sk_B, sk_A1, 
0.00/0.26	           sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A, X0), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                   app_encode_fun(sk_A, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A, X0), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                       app_encode_fun(sk_A, $o))), 
0.00/0.26	                   'const/iterate/support'(X0, sk_A), X2), X1), sk_A21)))
0.00/0.26	          = app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	              sk_B, 'const/iterate/neutral'(sk_B), sk_A0)),
0.00/0.26	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(sk_A, X0), 
0.00/0.26	      X2 : app_encode_fun(X0, app_encode_fun(X0, X0))]:
0.00/0.26	      (app_encode_app(sk_A, sk_B, sk_A1, 
0.00/0.26	         sk_A2(sk_A, 'const/sets/EMPTY'(sk_A), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A, X0), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                 app_encode_fun(sk_A, $o)), 
0.00/0.26	               app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A, X0), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                     app_encode_fun(sk_A, $o))), 
0.00/0.26	                 'const/iterate/support'(X0, sk_A), X2), X1), sk_A21)))
0.00/0.26	        = app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	            sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, X0), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(sk_A, $o)), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, X0), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                   app_encode_fun(sk_A, $o))), 
0.00/0.26	               'const/iterate/support'(X0, sk_A), X2), X1), sk_A21)
0.00/0.26	          = 'const/sets/EMPTY'(sk_A)),
0.00/0.26	    inference('simplify', [status(thm)], ['8'])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X2 : $tType, X3 : X2, X4 : app_encode_fun(X2, $o), X5 : $tType, 
0.00/0.26	      X6 : app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.26	      X7 : app_encode_fun(X2, X5)]:
0.00/0.26	      (app_encode_app(X2, X5, X7, X3)
0.00/0.26	        != app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), X5, 
0.00/0.26	             'const/iterate/neutral'(X5), X6)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	             app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.26	               'const/sets/IN'(X2), X3), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, $o), app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X2, X5), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                   app_encode_fun(X2, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X5, app_encode_fun(X5, X5)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X2, X5), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                       app_encode_fun(X2, $o))), 
0.00/0.26	                   'const/iterate/support'(X5, X2), X6), X7), X4))),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.26	tff('11', 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))]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o))), 
0.00/0.26	               'const/iterate/support'(X2, X0), X4), X3), X1)
0.00/0.26	          = 'const/sets/EMPTY'(X0)
0.00/0.26	       | app_encode_app(X0, X2, X3, 
0.00/0.26	           sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                       app_encode_fun(X0, $o))), 
0.00/0.26	                   'const/iterate/support'(X2, X0), X4), X3), X1)))
0.00/0.26	          != app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), X2, 
0.00/0.26	               'const/iterate/neutral'(X2), X4)),
0.00/0.26	    inference('sup-', [status(thm)], ['3', '10'])).
0.00/0.26	tff('12', 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))]:
0.00/0.26	      (app_encode_app(X0, X2, X3, 
0.00/0.26	         sk_A2(X0, 'const/sets/EMPTY'(X0), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, X2), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                     app_encode_fun(X0, $o))), 
0.00/0.26	                 'const/iterate/support'(X2, X0), X4), X3), X1)))
0.00/0.26	        != app_encode_app(app_encode_fun(X2, app_encode_fun(X2, X2)), X2, 
0.00/0.26	             'const/iterate/neutral'(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(app_encode_fun(X0, X2), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
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, X2), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                   app_encode_fun(X0, $o))), 
0.00/0.26	               'const/iterate/support'(X2, X0), X4), X3), X1)
0.00/0.26	          = 'const/sets/EMPTY'(X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['11'])).
0.00/0.26	tff('13', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B))]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	         sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	        != app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	             sk_B, 'const/iterate/neutral'(sk_B), X0)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, sk_B), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(sk_A, $o)), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, sk_B), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                   app_encode_fun(sk_A, $o))), 
0.00/0.26	               'const/iterate/support'(sk_B, sk_A), X0), sk_A1), sk_A21)
0.00/0.26	          = 'const/sets/EMPTY'(sk_A)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, sk_B), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(sk_A, $o)), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, sk_B), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                   app_encode_fun(sk_A, $o))), 
0.00/0.26	               'const/iterate/support'(sk_B, sk_A), X0), sk_A1), sk_A21)
0.00/0.26	          = 'const/sets/EMPTY'(sk_A)),
0.00/0.26	    inference('sup-', [status(thm)], ['9', '12'])).
0.00/0.26	tff('14', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B))]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, sk_B), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, sk_B), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	                 app_encode_fun(sk_A, $o))), 
0.00/0.26	             'const/iterate/support'(sk_B, sk_A), X0), sk_A1), sk_A21)
0.00/0.26	        = 'const/sets/EMPTY'(sk_A)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	           sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	          != app_encode_app(
0.00/0.26	               app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), sk_B, 
0.00/0.26	               'const/iterate/neutral'(sk_B), X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['13'])).
0.00/0.26	tff(zf_stmt_16, axiom,
0.00/0.26	  (![A:$tType,A0:$tType,A1:app_encode_fun(A0,app_encode_fun(A0,A0)),
0.00/0.26	     A2:app_encode_fun(A,A0),A3:app_encode_fun(A,$o)]:
0.00/0.26	     (app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.26	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,A0),A0),
0.00/0.26	                                    app_encode_app(app_encode_fun(A0,
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,A0)),
0.00/0.26	                                                   app_encode_fun(app_encode_fun(
0.00/0.26	                                                                  A,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,A0),A0)),
0.00/0.26	                                                   'const/iterate/iterate'(
0.00/0.26	                                                   A,A0),A1),
0.00/0.26	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                                   app_encode_fun(A,$o),
0.00/0.26	                                                   app_encode_app(app_encode_fun(
0.00/0.26	                                                                  A,A0),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o)),
0.00/0.26	                                                                  app_encode_app(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,A0)),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,A0),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,$o))),
0.00/0.26	                                                                  'const/iterate/support'(
0.00/0.26	                                                                  A0,A),A1),
0.00/0.26	                                                                  A2),
0.00/0.26	                                                   A3)),
0.00/0.26	                     A2) =
0.00/0.26	      app_encode_app(app_encode_fun(A,A0),A0,
0.00/0.26	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,A0),A0),
0.00/0.26	                                    app_encode_app(app_encode_fun(A0,
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,A0)),
0.00/0.26	                                                   app_encode_fun(app_encode_fun(
0.00/0.26	                                                                  A,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,A0),A0)),
0.00/0.26	                                                   'const/iterate/iterate'(
0.00/0.26	                                                   A,A0),A1),
0.00/0.26	                                    A3),
0.00/0.26	                     A2)))).
0.00/0.26	tff('15', plain,
0.00/0.26	    ![X17 : $tType, X18 : $tType, 
0.00/0.26	      X19 : app_encode_fun(X18, app_encode_fun(X18, X18)), 
0.00/0.26	      X20 : app_encode_fun(X17, $o), X21 : app_encode_fun(X17, X18)]:
0.00/0.26	      app_encode_app(app_encode_fun(X17, X18), X18, 
0.00/0.26	        app_encode_app(app_encode_fun(X17, $o), 
0.00/0.26	          app_encode_fun(app_encode_fun(X17, X18), X18), 
0.00/0.26	          app_encode_app(app_encode_fun(X18, app_encode_fun(X18, X18)), 
0.00/0.26	            app_encode_fun(app_encode_fun(X17, $o), 
0.00/0.26	              app_encode_fun(app_encode_fun(X17, X18), X18)), 
0.00/0.26	            'const/iterate/iterate'(X17, X18), X19), 
0.00/0.26	          app_encode_app(app_encode_fun(X17, $o), app_encode_fun(X17, $o), 
0.00/0.26	            app_encode_app(app_encode_fun(X17, X18), 
0.00/0.26	              app_encode_fun(app_encode_fun(X17, $o), 
0.00/0.26	                app_encode_fun(X17, $o)), 
0.00/0.26	              app_encode_app(app_encode_fun(X18, app_encode_fun(X18, X18)), 
0.00/0.26	                app_encode_fun(app_encode_fun(X17, X18), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X17, $o), 
0.00/0.26	                    app_encode_fun(X17, $o))), 
0.00/0.26	                'const/iterate/support'(X18, X17), X19), X21), X20)), X21)
0.00/0.26	       = app_encode_app(app_encode_fun(X17, X18), X18, 
0.00/0.26	           app_encode_app(app_encode_fun(X17, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X17, X18), X18), 
0.00/0.26	             app_encode_app(app_encode_fun(X18, app_encode_fun(X18, X18)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X17, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X17, X18), X18)), 
0.00/0.26	               'const/iterate/iterate'(X17, X18), X19), X20), X21),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_16])).
0.00/0.26	tff('16', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B))]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_A, sk_B), sk_B, 
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_B), sk_B), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
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_B), sk_B)), 
0.00/0.26	             'const/iterate/iterate'(sk_A, sk_B), X0), 
0.00/0.26	           'const/sets/EMPTY'(sk_A)), sk_A1)
0.00/0.26	        = app_encode_app(app_encode_fun(sk_A, sk_B), sk_B, 
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_B), sk_B), 
0.00/0.26	              app_encode_app(
0.00/0.26	                app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
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_B), sk_B)), 
0.00/0.26	                'const/iterate/iterate'(sk_A, sk_B), X0), sk_A21), sk_A1)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	           sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	          != app_encode_app(
0.00/0.26	               app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), sk_B, 
0.00/0.26	               'const/iterate/neutral'(sk_B), X0)),
0.00/0.26	    inference('sup+', [status(thm)], ['14', '15'])).
0.00/0.26	tff('17', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A, sk_B), sk_B, 
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_B), sk_B), 
0.00/0.26	        app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
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_B), sk_B)), 
0.00/0.26	          'const/iterate/iterate'(sk_A, sk_B), sk_A0), sk_A21), sk_A1)
0.00/0.26	     != app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	          sk_B, 'const/iterate/neutral'(sk_B), sk_A0),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('18', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A, sk_B), sk_B, 
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_B), sk_B), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
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_B), sk_B)), 
0.00/0.26	           'const/iterate/iterate'(sk_A, sk_B), sk_A0), 
0.00/0.26	         'const/sets/EMPTY'(sk_A)), sk_A1)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	           sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	         sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	        != app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	             sk_B, 'const/iterate/neutral'(sk_B), sk_A0)),
0.00/0.26	    inference('sup-', [status(thm)], ['16', '17'])).
0.00/0.26	tff('19', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), $o, 
0.00/0.26	      'const/iterate/monoidal'(sk_B), sk_A0),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff(zf_stmt_19, axiom,
0.00/0.26	  (![A:$tType,A0:$tType,A1:$tType,A2:app_encode_fun(A1,app_encode_fun(A1,A1))]:
0.00/0.26	     (app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),$o,
0.00/0.26	                     'const/iterate/monoidal'(A1),A2) =>
0.00/0.26	      ((![A3:app_encode_fun(A,A1)]:
0.00/0.26	          (app_encode_app(app_encode_fun(A,A1),A1,
0.00/0.26	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                         app_encode_fun(app_encode_fun(A,A1),
0.00/0.26	                                                        A1),
0.00/0.26	                                         app_encode_app(app_encode_fun(
0.00/0.26	                                                        A1,
0.00/0.26	                                                        app_encode_fun(A1,A1)),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,$o),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,A1),
0.00/0.26	                                                        A1)),
0.00/0.26	                                                        'const/iterate/iterate'(
0.00/0.26	                                                        A,A1),A2),
0.00/0.26	                                         'const/sets/EMPTY'(A)),
0.00/0.26	                          A3) =
0.00/0.26	           app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),A1,
0.00/0.26	                          'const/iterate/neutral'(A1),A2))) & 
0.00/0.26	       (![A3:app_encode_fun(A0,A1),A4:A0,A5:app_encode_fun(A0,$o)]:
0.00/0.26	          (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),A5) =>
0.00/0.26	           (app_encode_app(app_encode_fun(A0,A1),A1,
0.00/0.26	                           app_encode_app(app_encode_fun(A0,$o),
0.00/0.26	                                          app_encode_fun(app_encode_fun(
0.00/0.26	                                                         A0,A1),A1),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A0,A1),A2),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A0,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o)),
0.00/0.26	                                                         'const/sets/INSERT'(
0.00/0.26	                                                         A0),A4),A5)),
0.00/0.26	                           A3) =
0.00/0.26	            app_encode_app(A1,A1,
0.00/0.26	                           app_encode_app(A1,app_encode_fun(A1,A1),
0.00/0.26	                                          app_encode_app($o,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         'const/class/COND'(
0.00/0.26	                                                         A1),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),$o,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A0,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),$o),
0.00/0.26	                                                         'const/sets/IN'(A0),
0.00/0.26	                                                         A4),A5)),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A0,A1),A1,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A0,A1),A2),A5),A3)),
0.00/0.26	                           app_encode_app(A1,A1,
0.00/0.26	                                          app_encode_app(A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1),A2,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A0,A1,A3,A4)),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A0,A1),A1,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A0,A1),A2),A5),A3)))))))))).
0.00/0.26	tff('20', plain,
0.00/0.26	    ![X26 : $tType, X27 : app_encode_fun(X26, app_encode_fun(X26, X26)), 
0.00/0.26	      X28 : $tType, X29 : app_encode_fun(X28, X26)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X28, X26), X26, 
0.00/0.26	         app_encode_app(app_encode_fun(X28, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X28, X26), X26), 
0.00/0.26	           app_encode_app(app_encode_fun(X26, app_encode_fun(X26, X26)), 
0.00/0.26	             app_encode_fun(app_encode_fun(X28, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X28, X26), X26)), 
0.00/0.26	             'const/iterate/iterate'(X28, X26), X27), 
0.00/0.26	           'const/sets/EMPTY'(X28)), X29)
0.00/0.26	        = app_encode_app(app_encode_fun(X26, app_encode_fun(X26, X26)), X26, 
0.00/0.26	            'const/iterate/neutral'(X26), X27)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X26, app_encode_fun(X26, X26)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X26), X27)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_19])).
0.00/0.26	tff('21', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, sk_B)]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, sk_B), sk_B, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, sk_B), sk_B), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X0, sk_B), sk_B)), 
0.00/0.26	               'const/iterate/iterate'(X0, sk_B), sk_A0), 
0.00/0.26	             'const/sets/EMPTY'(X0)), X1)
0.00/0.26	          = app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	              sk_B, 'const/iterate/neutral'(sk_B), sk_A0)),
0.00/0.26	    inference('sup-', [status(thm)], ['19', '20'])).
0.00/0.26	tff('22', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, sk_B)]:
0.00/0.26	      app_encode_app(app_encode_fun(X0, sk_B), sk_B, 
0.00/0.26	        app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	          app_encode_fun(app_encode_fun(X0, sk_B), sk_B), 
0.00/0.26	          app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	            app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.26	              app_encode_fun(app_encode_fun(X0, sk_B), sk_B)), 
0.00/0.26	            'const/iterate/iterate'(X0, sk_B), sk_A0), 
0.00/0.26	          'const/sets/EMPTY'(X0)), X1)
0.00/0.26	       = app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	           sk_B, 'const/iterate/neutral'(sk_B), sk_A0),
0.00/0.26	    inference('simplify', [status(thm)], ['21'])).
0.00/0.26	tff('23', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), sk_B, 
0.00/0.26	       'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	           sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	         sk_B, 'const/iterate/neutral'(sk_B), sk_A0)
0.00/0.26	        != app_encode_app(app_encode_fun(sk_B, app_encode_fun(sk_B, sk_B)), 
0.00/0.26	             sk_B, 'const/iterate/neutral'(sk_B), sk_A0)),
0.00/0.26	    inference('demod', [status(thm)], ['18', '22'])).
0.00/0.26	tff('24', plain, $false, inference('simplify', [status(thm)], ['23'])).
0.00/0.26	
0.00/0.26	% SZS output end Refutation
0.00/0.26	EOF
