0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n073.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:08 CST 2018
2.21/2.39	% done 285 iterations in 2.189s
2.21/2.39	% SZS status Theorem for 'stdin'
2.21/2.39	% SZS output start Refutation
2.21/2.39	tff(zf_stmt_7, conjecture,
2.21/2.39	  (![A:$tType,A0:app_encode_fun(A,$o)]:
2.21/2.39	     (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
2.21/2.39	                     app_encode_app(app_encode_fun(A,$o),
2.21/2.39	                                    app_encode_fun(app_encode_fun(A,$o),
2.21/2.39	                                                   app_encode_fun(A,$o)),
2.21/2.39	                                    'const/sets/UNION'(A),A0),
2.21/2.39	                     A0) =
2.21/2.39	      A0))).
2.21/2.39	tff(zf_stmt_0, negated_conjecture,
2.21/2.39	  (~
2.21/2.39	    (![A:$tType,A0:app_encode_fun(A,$o)]:
2.21/2.39	       (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
2.21/2.39	                       app_encode_app(app_encode_fun(A,$o),
2.21/2.39	                                      app_encode_fun(app_encode_fun(A,$o),
2.21/2.39	                                                     app_encode_fun(A,$o)),
2.21/2.39	                                      'const/sets/UNION'(A),A0),
2.21/2.39	                       A0) =
2.21/2.39	        A0)))).
2.21/2.39	tff('0', plain,
2.21/2.39	    app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
2.21/2.39	      app_encode_app(app_encode_fun(sk_A, $o), 
2.21/2.39	        app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
2.21/2.39	        'const/sets/UNION'(sk_A), sk_A0), sk_A0)
2.21/2.39	     != sk_A0,
2.21/2.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.21/2.39	tff(zf_stmt_6, axiom,
2.21/2.39	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
2.21/2.39	     ((A0 = A1) <=>
2.21/2.39	      (![A2:A]:
2.21/2.39	         (app_encode_app(app_encode_fun(A,$o),$o,
2.21/2.39	                         app_encode_app(A,
2.21/2.39	                                        app_encode_fun(app_encode_fun(A,$o),
2.21/2.39	                                                       $o),
2.21/2.39	                                        'const/sets/IN'(A),A2),
2.21/2.39	                         A0) <=>
2.21/2.39	          app_encode_app(app_encode_fun(A,$o),$o,
2.21/2.39	                         app_encode_app(A,
2.21/2.39	                                        app_encode_fun(app_encode_fun(A,$o),
2.21/2.39	                                                       $o),
2.21/2.39	                                        'const/sets/IN'(A),A2),
2.21/2.39	                         A1)))))).
2.21/2.39	tff('1', plain,
2.21/2.39	    ![X9 : $tType, X12 : app_encode_fun(X9, $o), X14 : app_encode_fun(X9, $o)]:
2.21/2.39	      (X12 = X14
2.21/2.39	       | app_encode_app(app_encode_fun(X9, $o), $o, 
2.21/2.39	           app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
2.21/2.39	             'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X14)
2.21/2.39	       | app_encode_app(app_encode_fun(X9, $o), $o, 
2.21/2.39	           app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
2.21/2.39	             'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X12)),
2.21/2.39	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.21/2.39	tff(zf_stmt_5, axiom,
2.21/2.39	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),A2:A]:
2.21/2.39	     (app_encode_app(app_encode_fun(A,$o),$o,
2.21/2.39	                     app_encode_app(A,
2.21/2.39	                                    app_encode_fun(app_encode_fun(A,$o),$o),
2.21/2.39	                                    'const/sets/IN'(A),A2),
2.21/2.39	                     app_encode_app(app_encode_fun(A,$o),
2.21/2.39	                                    app_encode_fun(A,$o),
2.21/2.39	                                    app_encode_app(app_encode_fun(A,$o),
2.21/2.39	                                                   app_encode_fun(app_encode_fun(
2.21/2.39	                                                                  A,$o),
2.21/2.39	                                                                  app_encode_fun(
2.21/2.39	                                                                  A,$o)),
2.21/2.39	                                                   'const/sets/UNION'(A),A0),
2.21/2.39	                                    A1)) <=>
2.21/2.39	      (app_encode_app(app_encode_fun(A,$o),$o,
2.21/2.39	                      app_encode_app(A,
2.21/2.39	                                     app_encode_fun(app_encode_fun(A,$o),$o),
2.21/2.39	                                     'const/sets/IN'(A),A2),
2.21/2.39	                      A0) | 
2.21/2.39	       app_encode_app(app_encode_fun(A,$o),$o,
2.21/2.39	                      app_encode_app(A,
2.21/2.39	                                     app_encode_fun(app_encode_fun(A,$o),$o),
2.21/2.39	                                     'const/sets/IN'(A),A2),
2.21/2.39	                      A1))))).
2.21/2.39	tff('2', plain,
2.21/2.39	    ![X4 : $tType, X5 : X4, X6 : app_encode_fun(X4, $o), 
2.21/2.39	      X7 : app_encode_fun(X4, $o)]:
2.21/2.39	      (app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	           'const/sets/IN'(X4), X5), X6)
2.21/2.39	       | app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	           app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	             'const/sets/IN'(X4), X5), X7)
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	               'const/sets/IN'(X4), X5), 
2.21/2.39	             app_encode_app(app_encode_fun(X4, $o), app_encode_fun(X4, $o), 
2.21/2.39	               app_encode_app(app_encode_fun(X4, $o), 
2.21/2.39	                 app_encode_fun(app_encode_fun(X4, $o), 
2.21/2.39	                   app_encode_fun(X4, $o)), 'const/sets/UNION'(X4), X7), X6))),
2.21/2.39	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.21/2.39	tff('3', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : app_encode_fun(X0, $o)]:
2.21/2.39	      (~ $true
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), 
2.21/2.39	             sk_A2(X0, 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.39	                 X1), X3)), X3)
2.21/2.39	       | X3
2.21/2.39	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), 
2.21/2.39	             sk_A2(X0, 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.39	                 X1), X3)), X2)
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), 
2.21/2.39	             sk_A2(X0, 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.39	                 X1), X3)), X1)),
2.21/2.39	    inference('sup-', [status(thm)], ['1', '2'])).
2.21/2.39	tff('4', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : app_encode_fun(X0, $o)]:
2.21/2.39	      (app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	           'const/sets/IN'(X0), 
2.21/2.39	           sk_A2(X0, 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
2.21/2.39	             X3)), X1)
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), 
2.21/2.39	             sk_A2(X0, 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.39	                 X1), X3)), X2)
2.21/2.39	       | X3
2.21/2.39	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), 
2.21/2.39	             sk_A2(X0, 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.39	                 X1), X3)), X3)),
2.21/2.39	    inference('simplify', [status(thm)], ['3'])).
2.21/2.39	tff('5', plain,
2.21/2.39	    ![X4 : $tType, X6 : app_encode_fun(X4, $o), X7 : app_encode_fun(X4, $o), 
2.21/2.39	      X8 : X4]:
2.21/2.39	      (app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	           'const/sets/IN'(X4), X8), 
2.21/2.39	         app_encode_app(app_encode_fun(X4, $o), app_encode_fun(X4, $o), 
2.21/2.39	           app_encode_app(app_encode_fun(X4, $o), 
2.21/2.39	             app_encode_fun(app_encode_fun(X4, $o), app_encode_fun(X4, $o)), 
2.21/2.39	             'const/sets/UNION'(X4), X7), X6))
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	               'const/sets/IN'(X4), X8), X6)),
2.21/2.39	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.21/2.39	tff(zf_stmt_4, axiom,
2.21/2.39	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
2.21/2.39	     (app_encode_app(app_encode_fun(A,$o),$o,
2.21/2.39	                     app_encode_app(A,
2.21/2.39	                                    app_encode_fun(app_encode_fun(A,$o),$o),
2.21/2.39	                                    'const/sets/IN'(A),A0),
2.21/2.39	                     P) <=>
2.21/2.39	      app_encode_app(A,$o,P,A0)))).
2.21/2.39	tff('6', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0]:
2.21/2.39	      (app_encode_app(X0, $o, X1, X2)
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X2), X1)),
2.21/2.39	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.21/2.39	tff('7', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : X0]:
2.21/2.39	      (~ $true
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X3), X1)
2.21/2.39	       | app_encode_app(X0, $o, 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	               'const/sets/UNION'(X0), X2), X1), X3)),
2.21/2.39	    inference('sup-', [status(thm)], ['5', '6'])).
2.21/2.39	tff('8', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : X0]:
2.21/2.39	      (app_encode_app(X0, $o, 
2.21/2.39	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	             'const/sets/UNION'(X0), X2), X1), X3)
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X3), X1)),
2.21/2.39	    inference('simplify', [status(thm)], ['7'])).
2.21/2.39	tff('9', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : app_encode_fun(X0, $o)]:
2.21/2.39	      (~ $true
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
2.21/2.39	       | X2 = X1
2.21/2.39	       | app_encode_app(X0, $o, 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	               'const/sets/UNION'(X0), X3), X1), sk_A2(X0, X1, X2))),
2.21/2.39	    inference('sup-', [status(thm)], ['1', '8'])).
2.21/2.39	tff('10', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : app_encode_fun(X0, $o)]:
2.21/2.39	      (app_encode_app(X0, $o, 
2.21/2.39	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	             'const/sets/UNION'(X0), X3), X1), sk_A2(X0, X1, X2))
2.21/2.39	       | X2 = X1
2.21/2.39	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
2.21/2.39	    inference('simplify', [status(thm)], ['9'])).
2.21/2.39	tff('11', plain,
2.21/2.39	    ![X4 : $tType, X6 : app_encode_fun(X4, $o), X7 : app_encode_fun(X4, $o), 
2.21/2.39	      X8 : X4]:
2.21/2.39	      (app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	           'const/sets/IN'(X4), X8), 
2.21/2.39	         app_encode_app(app_encode_fun(X4, $o), app_encode_fun(X4, $o), 
2.21/2.39	           app_encode_app(app_encode_fun(X4, $o), 
2.21/2.39	             app_encode_fun(app_encode_fun(X4, $o), app_encode_fun(X4, $o)), 
2.21/2.39	             'const/sets/UNION'(X4), X7), X6))
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
2.21/2.39	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
2.21/2.39	               'const/sets/IN'(X4), X8), X7)),
2.21/2.39	    inference('cnf', [status(esa)], [zf_stmt_5])).
2.21/2.39	tff('12', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : X0]:
2.21/2.39	      (~ $true
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X3), X2)
2.21/2.39	       | app_encode_app(X0, $o, 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	               'const/sets/UNION'(X0), X2), X1), X3)),
2.21/2.39	    inference('sup-', [status(thm)], ['11', '6'])).
2.21/2.39	tff('13', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : X0]:
2.21/2.39	      (app_encode_app(X0, $o, 
2.21/2.39	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	             'const/sets/UNION'(X0), X2), X1), X3)
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X3), X2)),
2.21/2.39	    inference('simplify', [status(thm)], ['12'])).
2.21/2.39	tff('14', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : X0, X4 : app_encode_fun(X0, $o)]:
2.21/2.39	      (~ $true
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X3), X1)
2.21/2.39	       | app_encode_app(X0, $o, 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	               'const/sets/UNION'(X0), 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.39	                 X1)), X4), X3)),
2.21/2.39	    inference('sup-', [status(thm)], ['5', '13'])).
2.21/2.39	tff('15', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : X0, X4 : app_encode_fun(X0, $o)]:
2.21/2.39	      (app_encode_app(X0, $o, 
2.21/2.39	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	             'const/sets/UNION'(X0), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)), 
2.21/2.39	           X4), X3)
2.21/2.39	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.39	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.39	               'const/sets/IN'(X0), X3), X1)),
2.21/2.39	    inference('simplify', [status(thm)], ['14'])).
2.21/2.39	tff('16', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : app_encode_fun(X0, $o), X4 : app_encode_fun(X0, $o), 
2.21/2.39	      X5 : app_encode_fun(X0, $o)]:
2.21/2.39	      (~ $true
2.21/2.39	       | X1 = X2
2.21/2.39	       | app_encode_app(X0, $o, 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	               'const/sets/UNION'(X0), X5), X2), sk_A2(X0, X2, X1))
2.21/2.39	       | app_encode_app(X0, $o, 
2.21/2.39	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.39	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.39	               'const/sets/UNION'(X0), 
2.21/2.39	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_fun(X0, $o), 
2.21/2.39	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.39	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.39	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X4), 
2.21/2.39	                 X1)), X3), sk_A2(X0, X2, X1))),
2.21/2.39	    inference('sup-', [status(thm)], ['10', '15'])).
2.21/2.39	tff('17', plain,
2.21/2.39	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.39	      X3 : app_encode_fun(X0, $o), X4 : app_encode_fun(X0, $o), 
2.21/2.39	      X5 : app_encode_fun(X0, $o)]:
2.21/2.39	      (app_encode_app(X0, $o, 
2.21/2.39	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	             'const/sets/UNION'(X0), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X4), X1)), 
2.21/2.40	           X3), sk_A2(X0, X2, X1))
2.21/2.40	       | app_encode_app(X0, $o, 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	               'const/sets/UNION'(X0), X5), X2), sk_A2(X0, X2, X1))
2.21/2.40	       | X1 = X2),
2.21/2.40	    inference('simplify', [status(thm)], ['16'])).
2.21/2.40	tff('18', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.40	      X3 : app_encode_fun(X0, $o)]:
2.21/2.40	      (~ $true
2.21/2.40	       | X1 = X2
2.21/2.40	       | app_encode_app(X0, $o, 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	               'const/sets/UNION'(X0), 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X3), 
2.21/2.40	                 X1)), X2), sk_A2(X0, X2, X1))),
2.21/2.40	    inference('eq_fact', [status(thm)], ['17'])).
2.21/2.40	tff('19', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.40	      X3 : app_encode_fun(X0, $o)]:
2.21/2.40	      (app_encode_app(X0, $o, 
2.21/2.40	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	             'const/sets/UNION'(X0), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X3), X1)), 
2.21/2.40	           X2), sk_A2(X0, X2, X1))
2.21/2.40	       | X1 = X2),
2.21/2.40	    inference('simplify', [status(thm)], ['18'])).
2.21/2.40	tff('20', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X3 : X0]:
2.21/2.40	      (app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	           'const/sets/IN'(X0), X3), X1)
2.21/2.40	       | ~ app_encode_app(X0, $o, X1, X3)),
2.21/2.40	    inference('cnf', [status(esa)], [zf_stmt_4])).
2.21/2.40	tff('21', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.40	      X3 : X0]:
2.21/2.40	      (~ $true
2.21/2.40	       | ~ app_encode_app(X0, $o, 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
2.21/2.40	             X3)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), X3), X2)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), X3), X1)),
2.21/2.40	    inference('sup-', [status(thm)], ['20', '2'])).
2.21/2.40	tff('22', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.40	      X3 : X0]:
2.21/2.40	      (app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	           'const/sets/IN'(X0), X3), X1)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), X3), X2)
2.21/2.40	       | ~ app_encode_app(X0, $o, 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
2.21/2.40	             X3)),
2.21/2.40	    inference('simplify', [status(thm)], ['21'])).
2.21/2.40	tff('23', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.40	      X3 : app_encode_fun(X0, $o)]:
2.21/2.40	      (~ $true
2.21/2.40	       | X1 = X2
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), sk_A2(X0, X2, X1)), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	               'const/sets/UNION'(X0), X3), X1))
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), sk_A2(X0, X2, X1)), X2)),
2.21/2.40	    inference('sup-', [status(thm)], ['19', '22'])).
2.21/2.40	tff('24', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
2.21/2.40	      X3 : app_encode_fun(X0, $o)]:
2.21/2.40	      (app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	           'const/sets/IN'(X0), sk_A2(X0, X2, X1)), X2)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), sk_A2(X0, X2, X1)), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	               'const/sets/UNION'(X0), X3), X1))
2.21/2.40	       | X1 = X2),
2.21/2.40	    inference('simplify', [status(thm)], ['23'])).
2.21/2.40	tff('25', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
2.21/2.40	      (~ $true
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), 
2.21/2.40	             sk_A2(X0, 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.40	                 X1), X1)), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	               'const/sets/UNION'(X0), X2), X1))),
2.21/2.40	    inference('eq_fact', [status(thm)], ['24'])).
2.21/2.40	tff('26', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
2.21/2.40	      (app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	           'const/sets/IN'(X0), 
2.21/2.40	           sk_A2(X0, 
2.21/2.40	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
2.21/2.40	             X1)), 
2.21/2.40	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	             'const/sets/UNION'(X0), X2), X1))
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)),
2.21/2.40	    inference('simplify', [status(thm)], ['25'])).
2.21/2.40	tff('27', plain,
2.21/2.40	    ![X9 : $tType, X12 : app_encode_fun(X9, $o), X14 : app_encode_fun(X9, $o)]:
2.21/2.40	      (X12 = X14
2.21/2.40	       | ~ app_encode_app(app_encode_fun(X9, $o), $o, 
2.21/2.40	             app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
2.21/2.40	               'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X14)
2.21/2.40	       | ~ app_encode_app(app_encode_fun(X9, $o), $o, 
2.21/2.40	             app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
2.21/2.40	               'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X12)),
2.21/2.40	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.21/2.40	tff('28', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
2.21/2.40	      (~ $true
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
2.21/2.40	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	               'const/sets/IN'(X0), 
2.21/2.40	               sk_A2(X0, 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                       app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.40	                   X1), X1)), X1)
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)),
2.21/2.40	    inference('sup-', [status(thm)], ['26', '27'])).
2.21/2.40	tff('29', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
2.21/2.40	      (~ app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), 
2.21/2.40	             sk_A2(X0, 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
2.21/2.40	                 X1), X1)), X1)
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)),
2.21/2.40	    inference('simplify', [status(thm)], ['28'])).
2.21/2.40	tff('30', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
2.21/2.40	      (~ $true
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), 
2.21/2.40	             sk_A2(X0, 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
2.21/2.40	                 X1), X1)), X1)
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), 
2.21/2.40	             sk_A2(X0, 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
2.21/2.40	                 X1), X1)), X1)
2.21/2.40	       | X1
2.21/2.40	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)),
2.21/2.40	    inference('sup-', [status(thm)], ['4', '29'])).
2.21/2.40	tff('31', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
2.21/2.40	      (X1
2.21/2.40	        = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	            app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	              app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	              'const/sets/UNION'(X0), X1), X1)
2.21/2.40	       | app_encode_app(app_encode_fun(X0, $o), $o, 
2.21/2.40	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
2.21/2.40	             'const/sets/IN'(X0), 
2.21/2.40	             sk_A2(X0, 
2.21/2.40	               app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_fun(X0, $o), 
2.21/2.40	                 app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	                   app_encode_fun(app_encode_fun(X0, $o), 
2.21/2.40	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
2.21/2.40	                 X1), X1)), X1)),
2.21/2.40	    inference('simplify', [status(thm)], ['30'])).
2.21/2.40	tff('32', plain,
2.21/2.40	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
2.21/2.40	      X1
2.21/2.40	       = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
2.21/2.40	           app_encode_app(app_encode_fun(X0, $o), 
2.21/2.40	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
2.21/2.40	             'const/sets/UNION'(X0), X1), X1),
2.21/2.40	    inference('clc', [status(thm)], ['31', '29'])).
2.21/2.40	tff('33', plain, sk_A0 != sk_A0,
2.21/2.40	    inference('demod', [status(thm)], ['0', '32'])).
2.21/2.40	tff('34', plain, $false, inference('simplify', [status(thm)], ['33'])).
2.21/2.40	
2.21/2.40	% SZS output end Refutation
2.21/2.40	EOF
