0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n161.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:34:23 CST 2018
96.02/96.27	% done 7850 iterations in 96.064s
96.02/96.27	% SZS status Theorem for 'stdin'
96.02/96.27	% SZS output start Refutation
96.02/96.27	tff(zf_stmt_9, axiom,
96.02/96.27	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
96.02/96.27	     (app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.27	                     app_encode_app(app_encode_fun(A,$o),
96.02/96.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.27	                                    'const/sets/SUBSET'(A),A0),
96.02/96.27	                     A1) <=>
96.02/96.27	      (![A2:A]:
96.02/96.27	         (app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.27	                         app_encode_app(A,
96.02/96.27	                                        app_encode_fun(app_encode_fun(A,$o),
96.02/96.27	                                                       $o),
96.02/96.27	                                        'const/sets/IN'(A),A2),
96.02/96.27	                         A0) =>
96.02/96.27	          app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.27	                         app_encode_app(A,
96.02/96.27	                                        app_encode_fun(app_encode_fun(A,$o),
96.02/96.27	                                                       $o),
96.02/96.27	                                        'const/sets/IN'(A),A2),
96.02/96.27	                         A1)))))).
96.02/96.27	tff('0', plain,
96.02/96.27	    ![X11 : $tType, X13 : app_encode_fun(X11, $o), 
96.02/96.27	      X15 : app_encode_fun(X11, $o)]:
96.02/96.27	      (app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.27	         app_encode_app(app_encode_fun(X11, $o), 
96.02/96.27	           app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.27	           'const/sets/SUBSET'(X11), X13), X15)
96.02/96.27	       | app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.27	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.27	             'const/sets/IN'(X11), sk_A21(X11, X15, X13)), X13)),
96.02/96.27	    inference('cnf', [status(esa)], [zf_stmt_9])).
96.02/96.27	tff(zf_stmt_7, axiom,
96.02/96.27	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
96.02/96.27	     (app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.27	                     app_encode_app(A,
96.02/96.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.27	                                    'const/sets/IN'(A),A0),
96.02/96.27	                     P) <=>
96.02/96.27	      app_encode_app(A,$o,P,A0)))).
96.02/96.27	tff('1', plain,
96.02/96.27	    ![X2 : $tType, X3 : app_encode_fun(X2, $o), X4 : X2]:
96.02/96.27	      (app_encode_app(X2, $o, X3, X4)
96.02/96.27	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
96.02/96.27	             app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
96.02/96.27	               'const/sets/IN'(X2), X4), X3)),
96.02/96.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
96.02/96.27	tff('2', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
96.02/96.27	      (~ $true
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/SUBSET'(X0), X1), X2)
96.02/96.27	       | app_encode_app(X0, $o, X1, sk_A21(X0, X2, X1))),
96.02/96.27	    inference('sup-', [status(thm)], ['0', '1'])).
96.02/96.27	tff('3', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
96.02/96.27	      (app_encode_app(X0, $o, X1, sk_A21(X0, X2, X1))
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/SUBSET'(X0), X1), X2)),
96.02/96.27	    inference('simplify', [status(thm)], ['2'])).
96.02/96.27	tff(zf_stmt_8, axiom,
96.02/96.27	  (![A:$tType,A0:app_encode_fun(app_encode_fun(A,$o),$o),A1:A]:
96.02/96.27	     (app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.27	                     app_encode_app(A,
96.02/96.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.27	                                    'const/sets/IN'(A),A1),
96.02/96.27	                     app_encode_app(app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.27	                                    app_encode_fun(A,$o),
96.02/96.27	                                    'const/sets/INTERS'(A),A0)) <=>
96.02/96.27	      (![A2:app_encode_fun(A,$o)]:
96.02/96.27	         (app_encode_app(app_encode_fun(app_encode_fun(A,$o),$o),$o,
96.02/96.27	                         app_encode_app(app_encode_fun(A,$o),
96.02/96.27	                                        app_encode_fun(app_encode_fun(
96.02/96.27	                                                       app_encode_fun(A,$o),
96.02/96.27	                                                       $o),$o),
96.02/96.27	                                        'const/sets/IN'(app_encode_fun(A,$o)),
96.02/96.27	                                        A2),
96.02/96.27	                         A0) =>
96.02/96.27	          app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.27	                         app_encode_app(A,
96.02/96.27	                                        app_encode_fun(app_encode_fun(A,$o),
96.02/96.27	                                                       $o),
96.02/96.27	                                        'const/sets/IN'(A),A1),
96.02/96.27	                         A2)))))).
96.02/96.27	tff('4', plain,
96.02/96.27	    ![X6 : $tType, X8 : app_encode_fun(app_encode_fun(X6, $o), $o), X10 : X6]:
96.02/96.27	      (app_encode_app(app_encode_fun(X6, $o), $o, 
96.02/96.27	         app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.27	           'const/sets/IN'(X6), X10), 
96.02/96.27	         app_encode_app(app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.27	           app_encode_fun(X6, $o), 'const/sets/INTERS'(X6), X8))
96.02/96.27	       | app_encode_app(app_encode_fun(app_encode_fun(X6, $o), $o), $o, 
96.02/96.27	           app_encode_app(app_encode_fun(X6, $o), 
96.02/96.27	             app_encode_fun(app_encode_fun(app_encode_fun(X6, $o), $o), $o), 
96.02/96.27	             'const/sets/IN'(app_encode_fun(X6, $o)), sk_A2(X6, X10, X8)), 
96.02/96.27	           X8)),
96.02/96.27	    inference('cnf', [status(esa)], [zf_stmt_8])).
96.02/96.27	tff('5', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(app_encode_fun(X0, $o), $o), X2 : X0]:
96.02/96.27	      (~ $true
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), X1))
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, X1, sk_A2(X0, X2, X1))),
96.02/96.27	    inference('sup-', [status(thm)], ['4', '1'])).
96.02/96.27	tff('6', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(app_encode_fun(X0, $o), $o), X2 : X0]:
96.02/96.27	      (app_encode_app(app_encode_fun(X0, $o), $o, X1, sk_A2(X0, X2, X1))
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), X1))),
96.02/96.27	    inference('simplify', [status(thm)], ['5'])).
96.02/96.27	tff('7', plain,
96.02/96.27	    ![X2 : $tType, X3 : app_encode_fun(X2, $o), X5 : X2]:
96.02/96.27	      (app_encode_app(app_encode_fun(X2, $o), $o, 
96.02/96.27	         app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
96.02/96.27	           'const/sets/IN'(X2), X5), X3)
96.02/96.27	       | ~ app_encode_app(X2, $o, X3, X5)),
96.02/96.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
96.02/96.27	tff('8', plain,
96.02/96.27	    ![X11 : $tType, X12 : X11, X13 : app_encode_fun(X11, $o), 
96.02/96.27	      X14 : app_encode_fun(X11, $o)]:
96.02/96.27	      (~ app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.27	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.27	             'const/sets/IN'(X11), X12), X13)
96.02/96.27	       | app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.27	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.27	             'const/sets/IN'(X11), X12), X14)
96.02/96.27	       | ~ app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.27	             app_encode_app(app_encode_fun(X11, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X11), X13), X14)),
96.02/96.27	    inference('cnf', [status(esa)], [zf_stmt_9])).
96.02/96.27	tff('9', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, 
96.02/96.27	      X3 : app_encode_fun(X0, $o)]:
96.02/96.27	      (~ $true
96.02/96.27	       | ~ app_encode_app(X0, $o, X1, X2)
96.02/96.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1), X3)
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), X3)),
96.02/96.27	    inference('sup-', [status(thm)], ['7', '8'])).
96.02/96.27	tff('10', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, 
96.02/96.27	      X3 : app_encode_fun(X0, $o)]:
96.02/96.27	      (app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	           'const/sets/IN'(X0), X2), X3)
96.02/96.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1), X3)
96.02/96.27	       | ~ app_encode_app(X0, $o, X1, X2)),
96.02/96.27	    inference('simplify', [status(thm)], ['9'])).
96.02/96.27	tff('11', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, X3 : X0]:
96.02/96.27	      (~ $true
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1)))
96.02/96.27	       | ~ app_encode_app(X0, $o, X1, X3)
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X3), 
96.02/96.27	           sk_A2(X0, X2, 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1)))),
96.02/96.27	    inference('sup-', [status(thm)], ['6', '10'])).
96.02/96.27	tff('12', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, X3 : X0]:
96.02/96.27	      (app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	           'const/sets/IN'(X0), X3), 
96.02/96.27	         sk_A2(X0, X2, 
96.02/96.27	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/SUBSET'(X0), X1)))
96.02/96.27	       | ~ app_encode_app(X0, $o, X1, X3)
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1)))),
96.02/96.27	    inference('simplify', [status(thm)], ['11'])).
96.02/96.27	tff('13', plain,
96.02/96.27	    ![X6 : $tType, X8 : app_encode_fun(app_encode_fun(X6, $o), $o), X10 : X6]:
96.02/96.27	      (app_encode_app(app_encode_fun(X6, $o), $o, 
96.02/96.27	         app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.27	           'const/sets/IN'(X6), X10), 
96.02/96.27	         app_encode_app(app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.27	           app_encode_fun(X6, $o), 'const/sets/INTERS'(X6), X8))
96.02/96.27	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
96.02/96.27	             app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.27	               'const/sets/IN'(X6), X10), sk_A2(X6, X10, X8))),
96.02/96.27	    inference('cnf', [status(esa)], [zf_stmt_8])).
96.02/96.27	tff('14', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0]:
96.02/96.27	      (~ $true
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1)))
96.02/96.27	       | ~ app_encode_app(X0, $o, X1, X2)
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1)))),
96.02/96.27	    inference('sup-', [status(thm)], ['12', '13'])).
96.02/96.27	tff('15', plain,
96.02/96.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0]:
96.02/96.27	      (~ app_encode_app(X0, $o, X1, X2)
96.02/96.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             'const/sets/IN'(X0), X2), 
96.02/96.27	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.27	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.27	               'const/sets/SUBSET'(X0), X1)))),
96.02/96.27	    inference('simplify', [status(thm)], ['14'])).
96.02/96.27	tff('16', plain,
96.02/96.27	    ![X11 : $tType, X13 : app_encode_fun(X11, $o), 
96.02/96.27	      X15 : app_encode_fun(X11, $o)]:
96.02/96.27	      (app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.27	         app_encode_app(app_encode_fun(X11, $o), 
96.02/96.27	           app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.27	           'const/sets/SUBSET'(X11), X13), X15)
96.02/96.27	       | ~ app_encode_app(app_encode_fun(X11, $o), $o, 
96.02/96.28	             app_encode_app(X11, 
96.02/96.28	               app_encode_fun(app_encode_fun(X11, $o), $o), 
96.02/96.28	               'const/sets/IN'(X11), sk_A21(X11, X15, X13)), X15)),
96.02/96.28	    inference('cnf', [status(esa)], [zf_stmt_9])).
96.02/96.28	tff('17', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(X0, $o, X1, 
96.02/96.28	             sk_A21(X0, 
96.02/96.28	               app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	                 app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	                 app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	                   app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	                   'const/sets/SUBSET'(X0), X1)), X2))
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X2), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X1)))),
96.02/96.28	    inference('sup-', [status(thm)], ['15', '16'])).
96.02/96.28	tff('18', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
96.02/96.28	      (app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(X0), X2), 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	           app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1)))
96.02/96.28	       | ~ app_encode_app(X0, $o, X1, 
96.02/96.28	             sk_A21(X0, 
96.02/96.28	               app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	                 app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	                 app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	                   app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	                   'const/sets/SUBSET'(X0), X1)), X2))),
96.02/96.28	    inference('simplify', [status(thm)], ['17'])).
96.02/96.28	tff('19', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X1)))
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X1)))),
96.02/96.28	    inference('sup-', [status(thm)], ['3', '18'])).
96.02/96.28	tff('20', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
96.02/96.28	      app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	        app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	          app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	          'const/sets/SUBSET'(X0), X1), 
96.02/96.28	        app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	          app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	          app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	            app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	            'const/sets/SUBSET'(X0), X1))),
96.02/96.28	    inference('simplify', [status(thm)], ['19'])).
96.02/96.28	tff('21', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
96.02/96.28	      X3 : app_encode_fun(X0, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1), X2)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X1), X3)
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/IN'(X0), sk_A21(X0, X2, X1)), X3)),
96.02/96.28	    inference('sup-', [status(thm)], ['0', '8'])).
96.02/96.28	tff('22', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
96.02/96.28	      X3 : app_encode_fun(X0, $o)]:
96.02/96.28	      (app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	           'const/sets/IN'(X0), sk_A21(X0, X2, X1)), X3)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X1), X3)
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1), X2)),
96.02/96.28	    inference('simplify', [status(thm)], ['21'])).
96.02/96.28	tff('23', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
96.02/96.28	      X3 : app_encode_fun(X0, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X2), X3)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X2), X1)
96.02/96.28	       | app_encode_app(X0, $o, X1, sk_A21(X0, X3, X2))),
96.02/96.28	    inference('sup-', [status(thm)], ['22', '1'])).
96.02/96.28	tff('24', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
96.02/96.28	      X3 : app_encode_fun(X0, $o)]:
96.02/96.28	      (app_encode_app(X0, $o, X1, sk_A21(X0, X3, X2))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X2), X1)
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X2), X3)),
96.02/96.28	    inference('simplify', [status(thm)], ['23'])).
96.02/96.28	tff('25', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1), X2)
96.02/96.28	       | app_encode_app(X0, $o, 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	             app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(X0), X1)), sk_A21(X0, X2, X1))),
96.02/96.28	    inference('sup-', [status(thm)], ['20', '24'])).
96.02/96.28	tff('26', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
96.02/96.28	      (app_encode_app(X0, $o, 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	           app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1)), sk_A21(X0, X2, X1))
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X0, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(X0), X1), X2)),
96.02/96.28	    inference('simplify', [status(thm)], ['25'])).
96.02/96.28	tff(zf_stmt_10, conjecture,
96.02/96.28	  (![A:$tType,A0:app_encode_fun(A,$o),
96.02/96.28	     A1:app_encode_fun(app_encode_fun(A,$o),$o)]:
96.02/96.28	     (app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.28	                     app_encode_app(app_encode_fun(A,$o),
96.02/96.28	                                    app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.28	                                    'const/sets/SUBSET'(A),A0),
96.02/96.28	                     app_encode_app(app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.28	                                    app_encode_fun(A,$o),
96.02/96.28	                                    'const/sets/INTERS'(A),A1)) <=>
96.02/96.28	      (![A2:app_encode_fun(A,$o)]:
96.02/96.28	         (app_encode_app(app_encode_fun(app_encode_fun(A,$o),$o),$o,
96.02/96.28	                         app_encode_app(app_encode_fun(A,$o),
96.02/96.28	                                        app_encode_fun(app_encode_fun(
96.02/96.28	                                                       app_encode_fun(A,$o),
96.02/96.28	                                                       $o),$o),
96.02/96.28	                                        'const/sets/IN'(app_encode_fun(A,$o)),
96.02/96.28	                                        A2),
96.02/96.28	                         A1) =>
96.02/96.28	          app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.28	                         app_encode_app(app_encode_fun(A,$o),
96.02/96.28	                                        app_encode_fun(app_encode_fun(A,$o),
96.02/96.28	                                                       $o),
96.02/96.28	                                        'const/sets/SUBSET'(A),A0),
96.02/96.28	                         A2)))))).
96.02/96.28	tff(zf_stmt_0, negated_conjecture,
96.02/96.28	  (~
96.02/96.28	    (![A:$tType,A0:app_encode_fun(A,$o),
96.02/96.28	       A1:app_encode_fun(app_encode_fun(A,$o),$o)]:
96.02/96.28	       (app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.28	                       app_encode_app(app_encode_fun(A,$o),
96.02/96.28	                                      app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.28	                                      'const/sets/SUBSET'(A),A0),
96.02/96.28	                       app_encode_app(app_encode_fun(app_encode_fun(A,$o),$o),
96.02/96.28	                                      app_encode_fun(A,$o),
96.02/96.28	                                      'const/sets/INTERS'(A),A1)) <=>
96.02/96.28	        (![A2:app_encode_fun(A,$o)]:
96.02/96.28	           (app_encode_app(app_encode_fun(app_encode_fun(A,$o),$o),$o,
96.02/96.28	                           app_encode_app(app_encode_fun(A,$o),
96.02/96.28	                                          app_encode_fun(app_encode_fun(
96.02/96.28	                                                         app_encode_fun(A,$o),
96.02/96.28	                                                         $o),$o),
96.02/96.28	                                          'const/sets/IN'(app_encode_fun(
96.02/96.28	                                                          A,$o)),
96.02/96.28	                                          A2),
96.02/96.28	                           A1) =>
96.02/96.28	            app_encode_app(app_encode_fun(A,$o),$o,
96.02/96.28	                           app_encode_app(app_encode_fun(A,$o),
96.02/96.28	                                          app_encode_fun(app_encode_fun(A,$o),
96.02/96.28	                                                         $o),
96.02/96.28	                                          'const/sets/SUBSET'(A),A0),
96.02/96.28	                           A2))))))).
96.02/96.28	tff('27', plain,
96.02/96.28	    ![X16 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (~ app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(app_encode_fun(sk_A, $o), $o), $o), 
96.02/96.28	             'const/sets/IN'(app_encode_fun(sk_A, $o)), X16), sk_A1)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), X16)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
96.02/96.28	tff('28', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), sk_A2(sk_A, X0, sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['4', '27'])).
96.02/96.28	tff('29', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A2(sk_A, X0, sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('simplify', [status(thm)], ['28'])).
96.02/96.28	tff('30', plain,
96.02/96.28	    ![X0 : sk_A, X1 : sk_A]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(sk_A, $o, sk_A0, X1)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X1), sk_A2(sk_A, X0, sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['29', '10'])).
96.02/96.28	tff('31', plain,
96.02/96.28	    ![X0 : sk_A, X1 : sk_A]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/IN'(sk_A), X1), sk_A2(sk_A, X0, sk_A1))
96.02/96.28	       | ~ app_encode_app(sk_A, $o, sk_A0, X1)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('simplify', [status(thm)], ['30'])).
96.02/96.28	tff('32', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['31', '13'])).
96.02/96.28	tff('33', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (~ app_encode_app(sk_A, $o, sk_A0, X0)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('simplify', [status(thm)], ['32'])).
96.02/96.28	tff('34', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/IN'(sk_A), X0), 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)),
96.02/96.28	    inference('clc', [status(thm)], ['33', '10'])).
96.02/96.28	tff('35', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(sk_A, $o, sk_A0, 
96.02/96.28	             sk_A21(sk_A, 
96.02/96.28	               app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1), 
96.02/96.28	               X0))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['34', '16'])).
96.02/96.28	tff('36', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), X0), 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(sk_A, $o, sk_A0, 
96.02/96.28	             sk_A21(sk_A, 
96.02/96.28	               app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1), 
96.02/96.28	               X0))),
96.02/96.28	    inference('simplify', [status(thm)], ['35'])).
96.02/96.28	tff('37', plain,
96.02/96.28	    (~ $true
96.02/96.28	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['3', '36'])).
96.02/96.28	tff('38', plain,
96.02/96.28	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	      app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	        'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	      app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	        app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1)),
96.02/96.28	    inference('simplify', [status(thm)], ['37'])).
96.02/96.28	tff('39', plain,
96.02/96.28	    ![X6 : $tType, X7 : app_encode_fun(X6, $o), 
96.02/96.28	      X8 : app_encode_fun(app_encode_fun(X6, $o), $o), X9 : X6]:
96.02/96.28	      (~ app_encode_app(app_encode_fun(app_encode_fun(X6, $o), $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(X6, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(app_encode_fun(X6, $o), $o), $o), 
96.02/96.28	             'const/sets/IN'(app_encode_fun(X6, $o)), X7), X8)
96.02/96.28	       | app_encode_app(app_encode_fun(X6, $o), $o, 
96.02/96.28	           app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.28	             'const/sets/IN'(X6), X9), X7)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
96.02/96.28	             app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.28	               'const/sets/IN'(X6), X9), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(X6, $o), $o), 
96.02/96.28	               app_encode_fun(X6, $o), 'const/sets/INTERS'(X6), X8))),
96.02/96.28	    inference('cnf', [status(esa)], [zf_stmt_8])).
96.02/96.28	tff('40', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	      X2 : app_encode_fun(X0, $o), X3 : X0]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, X1, X2)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/IN'(X0), X3), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), X1))
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/IN'(X0), X3), X2)),
96.02/96.28	    inference('sup-', [status(thm)], ['7', '39'])).
96.02/96.28	tff('41', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	      X2 : app_encode_fun(X0, $o), X3 : X0]:
96.02/96.28	      (app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	           'const/sets/IN'(X0), X3), X2)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               'const/sets/IN'(X0), X3), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), X1))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, X1, X2)),
96.02/96.28	    inference('simplify', [status(thm)], ['40'])).
96.02/96.28	tff('42', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(app_encode_fun(X0, $o), $o), X2 : X0, 
96.02/96.28	      X3 : app_encode_fun(X0, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(X0, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), X1), X2)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, X1, X3)
96.02/96.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	             'const/sets/IN'(X0), X2), X3)),
96.02/96.28	    inference('sup-', [status(thm)], ['7', '41'])).
96.02/96.28	tff('43', plain,
96.02/96.28	    ![X0 : $tType, X1 : app_encode_fun(app_encode_fun(X0, $o), $o), X2 : X0, 
96.02/96.28	      X3 : app_encode_fun(X0, $o)]:
96.02/96.28	      (app_encode_app(app_encode_fun(X0, $o), $o, 
96.02/96.28	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	           'const/sets/IN'(X0), X2), X3)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, X1, X3)
96.02/96.28	       | ~ app_encode_app(X0, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(X0, $o), $o), 
96.02/96.28	               app_encode_fun(X0, $o), 'const/sets/INTERS'(X0), X1), X2)),
96.02/96.28	    inference('simplify', [status(thm)], ['42'])).
96.02/96.28	tff('44', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(sk_A, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), 
96.02/96.28	               app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	                 app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 'const/sets/SUBSET'(sk_A), sk_A0)), X0)
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['38', '43'])).
96.02/96.28	tff('45', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/IN'(sk_A), X0), 
96.02/96.28	         app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(sk_A, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), 
96.02/96.28	               app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	                 app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 'const/sets/SUBSET'(sk_A), sk_A0)), X0)),
96.02/96.28	    inference('simplify', [status(thm)], ['44'])).
96.02/96.28	tff('46', plain,
96.02/96.28	    (app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), $o, 
96.02/96.28	       app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	         app_encode_fun(app_encode_fun(app_encode_fun(sk_A, $o), $o), $o), 
96.02/96.28	         'const/sets/IN'(app_encode_fun(sk_A, $o)), sk_A22), sk_A1)
96.02/96.28	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
96.02/96.28	tff('47', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(sk_A, 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/IN'(sk_A), X0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(sk_A, 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/IN'(sk_A), X0), sk_A22)),
96.02/96.28	    inference('sup-', [status(thm)], ['46', '39'])).
96.02/96.28	tff('48', plain,
96.02/96.28	    ![X0 : sk_A]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/IN'(sk_A), X0), sk_A22)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(sk_A, 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/IN'(sk_A), X0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('simplify', [status(thm)], ['47'])).
96.02/96.28	tff('49', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(sk_A, 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/IN'(sk_A), sk_A21(sk_A, sk_A22, X0)), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), X0), sk_A22)),
96.02/96.28	    inference('sup-', [status(thm)], ['48', '16'])).
96.02/96.28	tff('50', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), X0), sk_A22)
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(sk_A, 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/IN'(sk_A), sk_A21(sk_A, sk_A22, X0)), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('simplify', [status(thm)], ['49'])).
96.02/96.28	tff('51', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(sk_A, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), 
96.02/96.28	               app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	                 app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 'const/sets/SUBSET'(sk_A), sk_A0)), 
96.02/96.28	             sk_A21(sk_A, sk_A22, X0))
96.02/96.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	             app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), X0), sk_A22)),
96.02/96.28	    inference('sup-', [status(thm)], ['45', '50'])).
96.02/96.28	tff('52', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (~ $true
96.02/96.28	       | ~ app_encode_app(sk_A, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), 
96.02/96.28	               app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	                 app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 'const/sets/SUBSET'(sk_A), sk_A0)), 
96.02/96.28	             sk_A21(sk_A, sk_A22, X0))
96.02/96.28	       | ~ $true
96.02/96.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), X0), sk_A22)),
96.02/96.28	    inference('demod', [status(thm)], ['51', '38'])).
96.02/96.28	tff('53', plain,
96.02/96.28	    ![X0 : app_encode_fun(sk_A, $o)]:
96.02/96.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), X0), sk_A22)
96.02/96.28	       | ~ app_encode_app(sk_A, $o, 
96.02/96.28	             app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	               app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), 
96.02/96.28	               app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	                 app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	                 'const/sets/SUBSET'(sk_A), sk_A0)), 
96.02/96.28	             sk_A21(sk_A, sk_A22, X0))),
96.02/96.28	    inference('simplify', [status(thm)], ['52'])).
96.02/96.28	tff('54', plain,
96.02/96.28	    (~ $true
96.02/96.28	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)
96.02/96.28	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)),
96.02/96.28	    inference('sup-', [status(thm)], ['26', '53'])).
96.02/96.28	tff('55', plain,
96.02/96.28	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	      app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	        'const/sets/SUBSET'(sk_A), sk_A0), sk_A22),
96.02/96.28	    inference('simplify', [status(thm)], ['54'])).
96.02/96.28	tff('56', plain,
96.02/96.28	    (~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	         app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)
96.02/96.28	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
96.02/96.28	tff('57', plain,
96.02/96.28	    (~ $true
96.02/96.28	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
96.02/96.28	           app_encode_app(app_encode_fun(sk_A, $o), 
96.02/96.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             'const/sets/SUBSET'(sk_A), sk_A0), 
96.02/96.28	           app_encode_app(app_encode_fun(app_encode_fun(sk_A, $o), $o), 
96.02/96.28	             app_encode_fun(sk_A, $o), 'const/sets/INTERS'(sk_A), sk_A1))),
96.02/96.28	    inference('sup-', [status(thm)], ['55', '56'])).
96.02/96.28	tff('58', plain, (~ $true | ~ $true),
96.02/96.28	    inference('demod', [status(thm)], ['57', '38'])).
96.02/96.28	tff('59', plain, $false, inference('simplify', [status(thm)], ['58'])).
96.02/96.28	
96.02/96.28	% SZS output end Refutation
96.02/96.28	EOF
