0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n063.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:08 CST 2018
3.50/3.74	% done 431 iterations in 3.535s
3.50/3.74	% SZS status Theorem for 'stdin'
3.50/3.74	% SZS output start Refutation
3.50/3.74	tff(zf_stmt_8, conjecture,
3.50/3.74	  (![A:$tType,A0:app_encode_fun(A,$o)]:
3.50/3.74	     (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
3.50/3.74	                     app_encode_app(app_encode_fun(A,$o),
3.50/3.74	                                    app_encode_fun(app_encode_fun(A,$o),
3.50/3.74	                                                   app_encode_fun(A,$o)),
3.50/3.74	                                    'const/sets/UNION'(A),A0),
3.50/3.74	                     A0) =
3.50/3.74	      A0))).
3.50/3.74	tff(zf_stmt_0, negated_conjecture,
3.50/3.74	  (~
3.50/3.74	    (![A:$tType,A0:app_encode_fun(A,$o)]:
3.50/3.74	       (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
3.50/3.74	                       app_encode_app(app_encode_fun(A,$o),
3.50/3.74	                                      app_encode_fun(app_encode_fun(A,$o),
3.50/3.74	                                                     app_encode_fun(A,$o)),
3.50/3.74	                                      'const/sets/UNION'(A),A0),
3.50/3.74	                       A0) =
3.50/3.74	        A0)))).
3.50/3.74	tff('0', plain,
3.50/3.74	    app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
3.50/3.74	      app_encode_app(app_encode_fun(sk_A, $o), 
3.50/3.74	        app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
3.50/3.74	        'const/sets/UNION'(sk_A), sk_A0), sk_A0)
3.50/3.74	     != sk_A0,
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.50/3.74	tff(zf_stmt_7, axiom,
3.50/3.74	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
3.50/3.74	     ((A0 = A1) <=>
3.50/3.74	      (![A2:A]:
3.50/3.74	         (app_encode_app(app_encode_fun(A,$o),$o,
3.50/3.74	                         app_encode_app(A,
3.50/3.74	                                        app_encode_fun(app_encode_fun(A,$o),
3.50/3.74	                                                       $o),
3.50/3.74	                                        'const/sets/IN'(A),A2),
3.50/3.74	                         A0) <=>
3.50/3.74	          app_encode_app(app_encode_fun(A,$o),$o,
3.50/3.74	                         app_encode_app(A,
3.50/3.74	                                        app_encode_fun(app_encode_fun(A,$o),
3.50/3.74	                                                       $o),
3.50/3.74	                                        'const/sets/IN'(A),A2),
3.50/3.74	                         A1)))))).
3.50/3.74	tff('1', plain,
3.50/3.74	    ![X13 : $tType, X16 : app_encode_fun(X13, $o), 
3.50/3.74	      X18 : app_encode_fun(X13, $o)]:
3.50/3.74	      (X16 = X18
3.50/3.74	       | app_encode_app(app_encode_fun(X13, $o), $o, 
3.50/3.74	           app_encode_app(X13, app_encode_fun(app_encode_fun(X13, $o), $o), 
3.50/3.74	             'const/sets/IN'(X13), sk_A2(X13, X18, X16)), X18)
3.50/3.74	       | app_encode_app(app_encode_fun(X13, $o), $o, 
3.50/3.74	           app_encode_app(X13, app_encode_fun(app_encode_fun(X13, $o), $o), 
3.50/3.74	             'const/sets/IN'(X13), sk_A2(X13, X18, X16)), X16)),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_7])).
3.50/3.74	tff(zf_stmt_6, axiom,
3.50/3.74	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),A2:A]:
3.50/3.74	     (app_encode_app(app_encode_fun(A,$o),$o,
3.50/3.74	                     app_encode_app(A,
3.50/3.74	                                    app_encode_fun(app_encode_fun(A,$o),$o),
3.50/3.74	                                    'const/sets/IN'(A),A2),
3.50/3.74	                     app_encode_app(app_encode_fun(A,$o),
3.50/3.74	                                    app_encode_fun(A,$o),
3.50/3.74	                                    app_encode_app(app_encode_fun(A,$o),
3.50/3.74	                                                   app_encode_fun(app_encode_fun(
3.50/3.74	                                                                  A,$o),
3.50/3.74	                                                                  app_encode_fun(
3.50/3.74	                                                                  A,$o)),
3.50/3.74	                                                   'const/sets/UNION'(A),A0),
3.50/3.74	                                    A1)) <=>
3.50/3.74	      (app_encode_app(app_encode_fun(A,$o),$o,
3.50/3.74	                      app_encode_app(A,
3.50/3.74	                                     app_encode_fun(app_encode_fun(A,$o),$o),
3.50/3.74	                                     'const/sets/IN'(A),A2),
3.50/3.74	                      A0) | 
3.50/3.74	       app_encode_app(app_encode_fun(A,$o),$o,
3.50/3.74	                      app_encode_app(A,
3.50/3.74	                                     app_encode_fun(app_encode_fun(A,$o),$o),
3.50/3.74	                                     'const/sets/IN'(A),A2),
3.50/3.74	                      A1))))).
3.50/3.74	tff('2', plain,
3.50/3.74	    ![X8 : $tType, X9 : X8, X10 : app_encode_fun(X8, $o), 
3.50/3.74	      X11 : app_encode_fun(X8, $o)]:
3.50/3.74	      (app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	         app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	           'const/sets/IN'(X8), X9), X10)
3.50/3.74	       | app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	           app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	             'const/sets/IN'(X8), X9), X11)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	               'const/sets/IN'(X8), X9), 
3.50/3.74	             app_encode_app(app_encode_fun(X8, $o), app_encode_fun(X8, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X8, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X8, $o), 
3.50/3.74	                   app_encode_fun(X8, $o)), 'const/sets/UNION'(X8), X11), 
3.50/3.74	               X10))),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_6])).
3.50/3.74	tff('3', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X3)), X3)
3.50/3.74	       | X3
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X3)), X2)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X3)), X1)),
3.50/3.74	    inference('sup-', [status(thm)], ['1', '2'])).
3.50/3.74	tff('4', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	           'const/sets/IN'(X0), 
3.50/3.74	           sk_A2(X0, 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
3.50/3.74	             X3)), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X3)), X2)
3.50/3.74	       | X3
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X3)), X3)),
3.50/3.74	    inference('simplify', [status(thm)], ['3'])).
3.50/3.74	tff('5', plain,
3.50/3.74	    ![X8 : $tType, X10 : app_encode_fun(X8, $o), 
3.50/3.74	      X11 : app_encode_fun(X8, $o), X12 : X8]:
3.50/3.74	      (app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	         app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	           'const/sets/IN'(X8), X12), 
3.50/3.74	         app_encode_app(app_encode_fun(X8, $o), app_encode_fun(X8, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X8, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X8, $o), app_encode_fun(X8, $o)), 
3.50/3.74	             'const/sets/UNION'(X8), X11), X10))
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	               'const/sets/IN'(X8), X12), X11)),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_6])).
3.50/3.74	tff(zf_stmt_5, axiom,
3.50/3.74	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
3.50/3.74	     (app_encode_app(app_encode_fun(A,$o),$o,
3.50/3.74	                     app_encode_app(A,
3.50/3.74	                                    app_encode_fun(app_encode_fun(A,$o),$o),
3.50/3.74	                                    'const/sets/IN'(A),A0),
3.50/3.74	                     P) <=>
3.50/3.74	      app_encode_app(A,$o,P,A0)))).
3.50/3.74	tff('6', plain,
3.50/3.74	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X6 : X4]:
3.50/3.74	      (app_encode_app(X4, $o, X5, X6)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
3.50/3.74	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
3.50/3.74	               'const/sets/IN'(X4), X6), X5)),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_5])).
3.50/3.74	tff('7', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0]:
3.50/3.74	      (~ $true
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), X3), X2)
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), X1), X3)),
3.50/3.74	    inference('sup-', [status(thm)], ['5', '6'])).
3.50/3.74	tff('8', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0]:
3.50/3.74	      (app_encode_app(X0, $o, 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X2), X1), X3)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), X3), X2)),
3.50/3.74	    inference('simplify', [status(thm)], ['7'])).
3.50/3.74	tff('9', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
3.50/3.74	       | X2 = X1
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X1), X3), sk_A2(X0, X1, X2))),
3.50/3.74	    inference('sup-', [status(thm)], ['1', '8'])).
3.50/3.74	tff('10', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(X0, $o, 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X1), X3), sk_A2(X0, X1, X2))
3.50/3.74	       | X2 = X1
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
3.50/3.74	    inference('simplify', [status(thm)], ['9'])).
3.50/3.74	tff('11', plain,
3.50/3.74	    ![X8 : $tType, X10 : app_encode_fun(X8, $o), 
3.50/3.74	      X11 : app_encode_fun(X8, $o), X12 : X8]:
3.50/3.74	      (app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	         app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	           'const/sets/IN'(X8), X12), 
3.50/3.74	         app_encode_app(app_encode_fun(X8, $o), app_encode_fun(X8, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X8, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X8, $o), app_encode_fun(X8, $o)), 
3.50/3.74	             'const/sets/UNION'(X8), X11), X10))
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
3.50/3.74	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
3.50/3.74	               'const/sets/IN'(X8), X12), X10)),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_6])).
3.50/3.74	tff('12', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0]:
3.50/3.74	      (~ $true
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), X3), X1)
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), X1), X3)),
3.50/3.74	    inference('sup-', [status(thm)], ['11', '6'])).
3.50/3.74	tff('13', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0]:
3.50/3.74	      (app_encode_app(X0, $o, 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X2), X1), X3)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), X3), X1)),
3.50/3.74	    inference('simplify', [status(thm)], ['12'])).
3.50/3.74	tff('14', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0, X4 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), X3), X2)
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X4), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)), 
3.50/3.74	           X3)),
3.50/3.74	    inference('sup-', [status(thm)], ['5', '13'])).
3.50/3.74	tff('15', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0, X4 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(X0, $o, 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X4), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), X1)), X3)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), X3), X2)),
3.50/3.74	    inference('simplify', [status(thm)], ['14'])).
3.50/3.74	tff('16', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o), X4 : app_encode_fun(X0, $o), 
3.50/3.74	      X5 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | X1 = X2
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), X5), sk_A2(X0, X2, X1))
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X4), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X3)), 
3.50/3.74	           sk_A2(X0, X2, X1))),
3.50/3.74	    inference('sup-', [status(thm)], ['10', '15'])).
3.50/3.74	tff('17', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o), X4 : app_encode_fun(X0, $o), 
3.50/3.74	      X5 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(X0, $o, 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X4), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X1), X3)), sk_A2(X0, X2, X1))
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), X5), sk_A2(X0, X2, X1))
3.50/3.74	       | X1 = X2),
3.50/3.74	    inference('simplify', [status(thm)], ['16'])).
3.50/3.74	tff('18', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | X1 = X2
3.50/3.74	       | app_encode_app(X0, $o, 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X3)), 
3.50/3.74	           sk_A2(X0, X2, X1))),
3.50/3.74	    inference('eq_fact', [status(thm)], ['17'])).
3.50/3.74	tff('19', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(X0, $o, 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X2), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X1), X3)), sk_A2(X0, X2, X1))
3.50/3.74	       | X1 = X2),
3.50/3.74	    inference('simplify', [status(thm)], ['18'])).
3.50/3.74	tff('20', plain,
3.50/3.74	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X7 : X4]:
3.50/3.74	      (app_encode_app(app_encode_fun(X4, $o), $o, 
3.50/3.74	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
3.50/3.74	           'const/sets/IN'(X4), X7), X5)
3.50/3.74	       | ~ app_encode_app(X4, $o, X5, X7)),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_5])).
3.50/3.74	tff('21', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0]:
3.50/3.74	      (~ $true
3.50/3.74	       | ~ app_encode_app(X0, $o, 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
3.50/3.74	             X3)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), X3), X2)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), X3), X1)),
3.50/3.74	    inference('sup-', [status(thm)], ['20', '2'])).
3.50/3.74	tff('22', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : X0]:
3.50/3.74	      (app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	           'const/sets/IN'(X0), X3), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), X3), X2)
3.50/3.74	       | ~ app_encode_app(X0, $o, 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
3.50/3.74	             X3)),
3.50/3.74	    inference('simplify', [status(thm)], ['21'])).
3.50/3.74	tff('23', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | X1 = X2
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), sk_A2(X0, X2, X1)), X2)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), sk_A2(X0, X2, X1)), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X1), X3))),
3.50/3.74	    inference('sup-', [status(thm)], ['19', '22'])).
3.50/3.74	tff('24', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
3.50/3.74	      X3 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	           'const/sets/IN'(X0), sk_A2(X0, X2, X1)), 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X1), X3))
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), sk_A2(X0, X2, X1)), X2)
3.50/3.74	       | X1 = X2),
3.50/3.74	    inference('simplify', [status(thm)], ['23'])).
3.50/3.74	tff('25', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | X2
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X2)), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	               'const/sets/UNION'(X0), X2), X1))),
3.50/3.74	    inference('eq_fact', [status(thm)], ['24'])).
3.50/3.74	tff('26', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
3.50/3.74	      (app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	           'const/sets/IN'(X0), 
3.50/3.74	           sk_A2(X0, 
3.50/3.74	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1), 
3.50/3.74	             X2)), 
3.50/3.74	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X2), X1))
3.50/3.74	       | X2
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)),
3.50/3.74	    inference('simplify', [status(thm)], ['25'])).
3.50/3.74	tff('27', plain,
3.50/3.74	    ![X13 : $tType, X16 : app_encode_fun(X13, $o), 
3.50/3.74	      X18 : app_encode_fun(X13, $o)]:
3.50/3.74	      (X16 = X18
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X13, $o), $o, 
3.50/3.74	             app_encode_app(X13, 
3.50/3.74	               app_encode_fun(app_encode_fun(X13, $o), $o), 
3.50/3.74	               'const/sets/IN'(X13), sk_A2(X13, X18, X16)), X18)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X13, $o), $o, 
3.50/3.74	             app_encode_app(X13, 
3.50/3.74	               app_encode_fun(app_encode_fun(X13, $o), $o), 
3.50/3.74	               'const/sets/IN'(X13), sk_A2(X13, X18, X16)), X16)),
3.50/3.74	    inference('cnf', [status(esa)], [zf_stmt_7])).
3.50/3.74	tff('28', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | X2
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)
3.50/3.74	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	               'const/sets/IN'(X0), 
3.50/3.74	               sk_A2(X0, 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                       app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                   X1), X2)), X2)
3.50/3.74	       | X2
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)),
3.50/3.74	    inference('sup-', [status(thm)], ['26', '27'])).
3.50/3.74	tff('29', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
3.50/3.74	                 X1), X2)), X2)
3.50/3.74	       | X2
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)),
3.50/3.74	    inference('simplify', [status(thm)], ['28'])).
3.50/3.74	tff('30', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
3.50/3.74	      (~ $true
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
3.50/3.74	                 X1), X1)), X1)
3.50/3.74	       | X1
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
3.50/3.74	                 X1), X1)), X1)
3.50/3.74	       | X1
3.50/3.74	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                  app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)),
3.50/3.74	    inference('sup-', [status(thm)], ['4', '29'])).
3.50/3.74	tff('31', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
3.50/3.74	      (X1
3.50/3.74	        = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	            app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	              app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	              'const/sets/UNION'(X0), X1), X1)
3.50/3.74	       | app_encode_app(app_encode_fun(X0, $o), $o, 
3.50/3.74	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
3.50/3.74	             'const/sets/IN'(X0), 
3.50/3.74	             sk_A2(X0, 
3.50/3.74	               app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_fun(X0, $o), 
3.50/3.74	                 app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	                   app_encode_fun(app_encode_fun(X0, $o), 
3.50/3.74	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
3.50/3.74	                 X1), X1)), X1)),
3.50/3.74	    inference('simplify', [status(thm)], ['30'])).
3.50/3.74	tff('32', plain,
3.50/3.74	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
3.50/3.74	      X1
3.50/3.74	       = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
3.50/3.74	           app_encode_app(app_encode_fun(X0, $o), 
3.50/3.74	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
3.50/3.74	             'const/sets/UNION'(X0), X1), X1),
3.50/3.74	    inference('clc', [status(thm)], ['31', '29'])).
3.50/3.74	tff('33', plain, sk_A0 != sk_A0,
3.50/3.74	    inference('demod', [status(thm)], ['0', '32'])).
3.50/3.74	tff('34', plain, $false, inference('simplify', [status(thm)], ['33'])).
3.50/3.74	
3.50/3.74	% SZS output end Refutation
3.50/3.74	EOF
