0.00/0.01	% File    : /export/starexec/sandbox2/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n126.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:38:09 CST 2018
0.00/0.28	% done 48 iterations in 0.072s
0.00/0.28	% SZS status Theorem for 'stdin'
0.00/0.28	% SZS output start Refutation
0.00/0.28	tff(zf_stmt_10, conjecture,
0.00/0.28	  (![A:$tType,B:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(B,$o),
0.00/0.28	     A2:app_encode_fun(A,B),A3:app_encode_fun(B,A)]:
0.00/0.28	     (((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0) | 
0.00/0.28	        app_encode_app(app_encode_fun(B,$o),$o,'const/sets/FINITE'(B),A1)) & 
0.00/0.28	       (![A4:A]:
0.00/0.28	          (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                          app_encode_app(A,
0.00/0.28	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.28	                                                        $o),
0.00/0.28	                                         'const/sets/IN'(A),A4),
0.00/0.28	                          A0) =>
0.00/0.28	           (app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                           app_encode_app(B,
0.00/0.28	                                          app_encode_fun(app_encode_fun(B,$o),
0.00/0.28	                                                         $o),
0.00/0.28	                                          'const/sets/IN'(B),
0.00/0.28	                                          app_encode_app(A,B,A2,A4)),
0.00/0.28	                           A1) & 
0.00/0.28	            (app_encode_app(B,A,A3,app_encode_app(A,B,A2,A4)) = A4)))) & 
0.00/0.28	       (![A4:B]:
0.00/0.28	          (app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                          app_encode_app(B,
0.00/0.28	                                         app_encode_fun(app_encode_fun(B,$o),
0.00/0.28	                                                        $o),
0.00/0.28	                                         'const/sets/IN'(B),A4),
0.00/0.28	                          A1) =>
0.00/0.28	           (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                           app_encode_app(A,
0.00/0.28	                                          app_encode_fun(app_encode_fun(A,$o),
0.00/0.28	                                                         $o),
0.00/0.28	                                          'const/sets/IN'(A),
0.00/0.28	                                          app_encode_app(B,A,A3,A4)),
0.00/0.28	                           A0) & 
0.00/0.28	            (app_encode_app(A,B,A2,app_encode_app(B,A,A3,A4)) = A4))))) =>
0.00/0.28	      (app_encode_app(app_encode_fun(A,$o),'type/nums/num',
0.00/0.28	                      'const/sets/CARD'(A),A0) =
0.00/0.28	       app_encode_app(app_encode_fun(B,$o),'type/nums/num',
0.00/0.28	                      'const/sets/CARD'(B),A1))))).
0.00/0.28	tff(zf_stmt_0, negated_conjecture,
0.00/0.28	  (~
0.00/0.28	    (![A:$tType,B:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(B,$o),
0.00/0.28	       A2:app_encode_fun(A,B),A3:app_encode_fun(B,A)]:
0.00/0.28	       (((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0) | 
0.00/0.28	          app_encode_app(app_encode_fun(B,$o),$o,'const/sets/FINITE'(B),A1)) & 
0.00/0.28	         (![A4:A]:
0.00/0.28	            (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                            app_encode_app(A,
0.00/0.28	                                           app_encode_fun(app_encode_fun(
0.00/0.28	                                                          A,$o),$o),
0.00/0.28	                                           'const/sets/IN'(A),A4),
0.00/0.28	                            A0) =>
0.00/0.28	             (app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                             app_encode_app(B,
0.00/0.28	                                            app_encode_fun(app_encode_fun(
0.00/0.28	                                                           B,$o),$o),
0.00/0.28	                                            'const/sets/IN'(B),
0.00/0.28	                                            app_encode_app(A,B,A2,A4)),
0.00/0.28	                             A1) & 
0.00/0.28	              (app_encode_app(B,A,A3,app_encode_app(A,B,A2,A4)) = A4)))) & 
0.00/0.28	         (![A4:B]:
0.00/0.28	            (app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                            app_encode_app(B,
0.00/0.28	                                           app_encode_fun(app_encode_fun(
0.00/0.28	                                                          B,$o),$o),
0.00/0.28	                                           'const/sets/IN'(B),A4),
0.00/0.28	                            A1) =>
0.00/0.28	             (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                             app_encode_app(A,
0.00/0.28	                                            app_encode_fun(app_encode_fun(
0.00/0.28	                                                           A,$o),$o),
0.00/0.28	                                            'const/sets/IN'(A),
0.00/0.28	                                            app_encode_app(B,A,A3,A4)),
0.00/0.28	                             A0) & 
0.00/0.28	              (app_encode_app(A,B,A2,app_encode_app(B,A,A3,A4)) = A4))))) =>
0.00/0.28	        (app_encode_app(app_encode_fun(A,$o),'type/nums/num',
0.00/0.28	                        'const/sets/CARD'(A),A0) =
0.00/0.28	         app_encode_app(app_encode_fun(B,$o),'type/nums/num',
0.00/0.28	                        'const/sets/CARD'(B),A1)))))).
0.00/0.28	tff('0', plain,
0.00/0.28	    (app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.28	       sk_A0)
0.00/0.28	     | app_encode_app(app_encode_fun(sk_B, $o), $o, 
0.00/0.28	         'const/sets/FINITE'(sk_B), sk_A1)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff(zf_stmt_8, axiom,
0.00/0.28	  (![A:$tType,A0:app_encode_fun(A,$o),A1:'type/nums/num']:
0.00/0.28	     (app_encode_app('type/nums/num',$o,
0.00/0.28	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.28	                                    app_encode_fun('type/nums/num',$o),
0.00/0.28	                                    'const/sets/HAS_SIZE'(A),A0),
0.00/0.28	                     A1) <=>
0.00/0.28	      (app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0) & 
0.00/0.28	       (app_encode_app(app_encode_fun(A,$o),'type/nums/num',
0.00/0.28	                       'const/sets/CARD'(A),A0) =
0.00/0.28	        A1))))).
0.00/0.28	tff('1', plain,
0.00/0.28	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X7 : 'type/nums/num']:
0.00/0.28	      (app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(X4, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(X4), 
0.00/0.28	           X5), X7)
0.00/0.28	       | app_encode_app(app_encode_fun(X4, $o), 'type/nums/num', 
0.00/0.28	           'const/sets/CARD'(X4), X5)
0.00/0.28	          != X7
0.00/0.28	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.28	             'const/sets/FINITE'(X4), X5)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.28	tff('2', plain,
0.00/0.28	    ![X4 : $tType, X5 : app_encode_fun(X4, $o)]:
0.00/0.28	      (~ app_encode_app(app_encode_fun(X4, $o), $o, 'const/sets/FINITE'(X4), 
0.00/0.28	           X5)
0.00/0.28	       | app_encode_app('type/nums/num', $o, 
0.00/0.28	           app_encode_app(app_encode_fun(X4, $o), 
0.00/0.28	             app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(X4), 
0.00/0.28	             X5), 
0.00/0.28	           app_encode_app(app_encode_fun(X4, $o), 'type/nums/num', 
0.00/0.28	             'const/sets/CARD'(X4), X5))),
0.00/0.28	    inference('simplify', [status(thm)], ['1'])).
0.00/0.28	tff('3', plain,
0.00/0.28	    (~ $true
0.00/0.28	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	         'const/sets/FINITE'(sk_A), sk_A0)
0.00/0.28	     | app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_B), 
0.00/0.28	           sk_A1), 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.28	           'const/sets/CARD'(sk_B), sk_A1))),
0.00/0.28	    inference('sup-', [status(thm)], ['0', '2'])).
0.00/0.28	tff('4', plain,
0.00/0.28	    (app_encode_app('type/nums/num', $o, 
0.00/0.28	       app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.28	         app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_B), 
0.00/0.28	         sk_A1), 
0.00/0.28	       app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.28	         'const/sets/CARD'(sk_B), sk_A1))
0.00/0.28	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	         'const/sets/FINITE'(sk_A), sk_A0)),
0.00/0.28	    inference('simplify', [status(thm)], ['3'])).
0.00/0.28	tff('5', plain,
0.00/0.28	    (~ $true
0.00/0.28	     | app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_B), 
0.00/0.28	           sk_A1), 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.28	           'const/sets/CARD'(sk_B), sk_A1))
0.00/0.28	     | app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.28	           sk_A0), 
0.00/0.28	         app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.28	           'const/sets/CARD'(sk_A), sk_A0))),
0.00/0.28	    inference('sup-', [status(thm)], ['4', '2'])).
0.00/0.28	tff('6', plain,
0.00/0.28	    (app_encode_app('type/nums/num', $o, 
0.00/0.28	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.28	         app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.28	         sk_A0), 
0.00/0.28	       app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.28	         'const/sets/CARD'(sk_A), sk_A0))
0.00/0.28	     | app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_B), 
0.00/0.28	           sk_A1), 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.28	           'const/sets/CARD'(sk_B), sk_A1))),
0.00/0.28	    inference('simplify', [status(thm)], ['5'])).
0.00/0.28	tff('7', plain,
0.00/0.28	    ![X25 : sk_A]:
0.00/0.28	      (app_encode_app(app_encode_fun(sk_B, $o), $o, 
0.00/0.28	         app_encode_app(sk_B, app_encode_fun(app_encode_fun(sk_B, $o), $o), 
0.00/0.28	           'const/sets/IN'(sk_B), app_encode_app(sk_A, sk_B, sk_A2, X25)), 
0.00/0.28	         sk_A1)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	             app_encode_app(sk_A, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_A), X25), sk_A0)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff(zf_stmt_9, axiom,
0.00/0.28	  (![A:$tType,B:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(B,$o),
0.00/0.28	     A2:app_encode_fun(A,B),A3:app_encode_fun(B,A)]:
0.00/0.28	     (((![A4:B]:
0.00/0.28	          (app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                          app_encode_app(B,
0.00/0.28	                                         app_encode_fun(app_encode_fun(B,$o),
0.00/0.28	                                                        $o),
0.00/0.28	                                         'const/sets/IN'(B),A4),
0.00/0.28	                          A1) =>
0.00/0.28	           ((app_encode_app(A,B,A2,app_encode_app(B,A,A3,A4)) = A4) & 
0.00/0.28	            app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                           app_encode_app(A,
0.00/0.28	                                          app_encode_fun(app_encode_fun(A,$o),
0.00/0.28	                                                         $o),
0.00/0.28	                                          'const/sets/IN'(A),
0.00/0.28	                                          app_encode_app(B,A,A3,A4)),
0.00/0.28	                           A0)))) & 
0.00/0.28	       (![A4:A]:
0.00/0.28	          (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                          app_encode_app(A,
0.00/0.28	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.28	                                                        $o),
0.00/0.28	                                         'const/sets/IN'(A),A4),
0.00/0.28	                          A0) =>
0.00/0.28	           ((app_encode_app(B,A,A3,app_encode_app(A,B,A2,A4)) = A4) & 
0.00/0.28	            app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                           app_encode_app(B,
0.00/0.28	                                          app_encode_fun(app_encode_fun(B,$o),
0.00/0.28	                                                         $o),
0.00/0.28	                                          'const/sets/IN'(B),
0.00/0.28	                                          app_encode_app(A,B,A2,A4)),
0.00/0.28	                           A1))))) =>
0.00/0.28	      (![A4:'type/nums/num']:
0.00/0.28	         (app_encode_app('type/nums/num',$o,
0.00/0.28	                         app_encode_app(app_encode_fun(A,$o),
0.00/0.28	                                        app_encode_fun('type/nums/num',$o),
0.00/0.28	                                        'const/sets/HAS_SIZE'(A),A0),
0.00/0.28	                         A4) <=>
0.00/0.28	          app_encode_app('type/nums/num',$o,
0.00/0.28	                         app_encode_app(app_encode_fun(B,$o),
0.00/0.28	                                        app_encode_fun('type/nums/num',$o),
0.00/0.28	                                        'const/sets/HAS_SIZE'(B),A1),
0.00/0.28	                         A4)))))).
0.00/0.28	tff(zf_stmt_1, axiom,
0.00/0.28	  ((app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                   app_encode_app(B,app_encode_fun(app_encode_fun(B,$o),$o),
0.00/0.28	                                  'const/sets/IN'(B),A4),
0.00/0.28	                   A1) =>
0.00/0.28	    (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                    app_encode_app(A,app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.28	                                   'const/sets/IN'(A),
0.00/0.28	                                   app_encode_app(B,A,A3,A4)),
0.00/0.28	                    A0) & 
0.00/0.28	     (app_encode_app(A,B,A2,app_encode_app(B,A,A3,A4)) = A4))) =>
0.00/0.28	   zip_tseitin0(B,A,A4,A3,A2,A1,A0))).
0.00/0.28	tff('8', plain,
0.00/0.28	    ![X8 : $tType, X9 : $tType, X10 : X8, X11 : app_encode_fun(X8, X9), 
0.00/0.28	      X12 : app_encode_fun(X9, X8), X13 : app_encode_fun(X8, $o), 
0.00/0.28	      X14 : app_encode_fun(X9, $o)]:
0.00/0.28	      (zip_tseitin0(X8, X9, X10, X11, X12, X13, X14)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.28	             app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.28	               'const/sets/IN'(X9), app_encode_app(X8, X9, X11, X10)), X14)
0.00/0.28	       | app_encode_app(X9, X8, X12, app_encode_app(X8, X9, X11, X10)) != X10),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.28	tff(zf_stmt_2, axiom,
0.00/0.28	  ((app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.28	                   app_encode_app(A,app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.28	                                  'const/sets/IN'(A),A4),
0.00/0.28	                   A0) =>
0.00/0.28	    (app_encode_app(app_encode_fun(B,$o),$o,
0.00/0.28	                    app_encode_app(B,app_encode_fun(app_encode_fun(B,$o),$o),
0.00/0.28	                                   'const/sets/IN'(B),
0.00/0.28	                                   app_encode_app(A,B,A2,A4)),
0.00/0.28	                    A1) & 
0.00/0.28	     (app_encode_app(B,A,A3,app_encode_app(A,B,A2,A4)) = A4))) =>
0.00/0.28	   zip_tseitin1(B,A,A4,A3,A2,A1,A0))).
0.00/0.28	tff('9', plain,
0.00/0.28	    ![X8 : $tType, X9 : $tType, X11 : app_encode_fun(X8, X9), 
0.00/0.28	      X12 : app_encode_fun(X9, X8), X13 : app_encode_fun(X8, $o), 
0.00/0.28	      X14 : app_encode_fun(X9, $o), X15 : X9]:
0.00/0.28	      (zip_tseitin1(X8, X9, X15, X11, X12, X13, X14)
0.00/0.28	       | app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.28	           app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.28	             'const/sets/IN'(X9), X15), X14)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.28	tff(zf_stmt_3, type, zip_tseitin2 :
0.00/0.28	    !>[B:$tType,A:$tType]:
0.00/0.28	      (('type/nums/num' * app_encode_fun(B,$o) * app_encode_fun(A,$o)) > $o)).
0.00/0.28	tff(zf_stmt_4, axiom,
0.00/0.28	  (zip_tseitin2(B,A,A4,A1,A0) =>
0.00/0.28	   (app_encode_app('type/nums/num',$o,
0.00/0.28	                   app_encode_app(app_encode_fun(A,$o),
0.00/0.28	                                  app_encode_fun('type/nums/num',$o),
0.00/0.28	                                  'const/sets/HAS_SIZE'(A),A0),
0.00/0.28	                   A4) <=>
0.00/0.28	    app_encode_app('type/nums/num',$o,
0.00/0.28	                   app_encode_app(app_encode_fun(B,$o),
0.00/0.28	                                  app_encode_fun('type/nums/num',$o),
0.00/0.28	                                  'const/sets/HAS_SIZE'(B),A1),
0.00/0.28	                   A4)))).
0.00/0.28	tff(zf_stmt_5, type, zip_tseitin1 :
0.00/0.28	    !>[B:$tType,A:$tType]:
0.00/0.28	      ((A * 
0.00/0.28	        app_encode_fun(B,A) * 
0.00/0.28	        app_encode_fun(A,B) * 
0.00/0.28	        app_encode_fun(B,$o) * 
0.00/0.28	        app_encode_fun(A,$o)) > $o)).
0.00/0.28	tff(zf_stmt_6, type, zip_tseitin0 :
0.00/0.28	    !>[B:$tType,A:$tType]:
0.00/0.28	      ((B * 
0.00/0.28	        app_encode_fun(B,A) * 
0.00/0.28	        app_encode_fun(A,B) * 
0.00/0.28	        app_encode_fun(B,$o) * 
0.00/0.28	        app_encode_fun(A,$o)) > $o)).
0.00/0.28	tff(zf_stmt_7, axiom,
0.00/0.28	  (![A:$tType,B:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(B,$o),
0.00/0.28	     A2:app_encode_fun(A,B),A3:app_encode_fun(B,A)]:
0.00/0.28	     (((![A4:A]: zip_tseitin1(B,A,A4,A3,A2,A1,A0)) & 
0.00/0.28	       (![A4:B]: zip_tseitin0(B,A,A4,A3,A2,A1,A0))) =>
0.00/0.28	      (![A4:'type/nums/num']: zip_tseitin2(B,A,A4,A1,A0))))).
0.00/0.28	tff('10', plain,
0.00/0.28	    ![X17 : $tType, X18 : $tType, X19 : 'type/nums/num', 
0.00/0.28	      X20 : app_encode_fun(X17, $o), X21 : app_encode_fun(X18, $o), 
0.00/0.28	      X22 : app_encode_fun(X17, X18), X23 : app_encode_fun(X18, X17)]:
0.00/0.28	      (zip_tseitin2(X17, X18, X19, X20, X21)
0.00/0.28	       | ~ zip_tseitin1(X17, X18, sk_A41(X17, X18, X22, X23, X20, X21), X22, 
0.00/0.28	             X23, X20, X21)
0.00/0.28	       | ~ zip_tseitin0(X17, X18, sk_A4(X17, X18, X22, X23, X20, X21), X22, 
0.00/0.28	             X23, X20, X21)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.28	tff('11', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : $tType, 
0.00/0.28	      X3 : app_encode_fun(X2, $o), X4 : app_encode_fun(X0, X2), 
0.00/0.28	      X5 : app_encode_fun(X2, X0), X6 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.28	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.28	             'const/sets/IN'(X0), sk_A41(X2, X0, X5, X4, X3, X1)), X1)
0.00/0.28	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.00/0.28	             X1)
0.00/0.28	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.00/0.28	    inference('sup-', [status(thm)], ['9', '10'])).
0.00/0.28	tff('12', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : $tType, 
0.00/0.28	      X3 : app_encode_fun(X2, $o), X4 : app_encode_fun(X0, X2), 
0.00/0.28	      X5 : app_encode_fun(X2, X0), X6 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.00/0.28	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.00/0.28	             X1)
0.00/0.28	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.28	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.28	             'const/sets/IN'(X0), sk_A41(X2, X0, X5, X4, X3, X1)), X1)),
0.00/0.28	    inference('simplify', [status(thm)], ['11'])).
0.00/0.28	tff('13', plain,
0.00/0.28	    ![X24 : sk_B]:
0.00/0.28	      (app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	         app_encode_app(sk_B, sk_A, sk_A3, X24))
0.00/0.28	        = X24
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_B, $o), $o, 
0.00/0.28	             app_encode_app(sk_B, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_B, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_B), X24), sk_A1)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('14', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), 
0.00/0.28	      X2 : app_encode_fun(sk_B, X0), X3 : app_encode_fun(X0, sk_B), 
0.00/0.28	      X4 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ zip_tseitin0(X0, sk_B, sk_A4(X0, sk_B, X3, X2, X1, sk_A1), X3, 
0.00/0.28	             X2, X1, sk_A1)
0.00/0.28	       | zip_tseitin2(X0, sk_B, X4, X1, sk_A1)
0.00/0.28	       | app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	           app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	             sk_A41(X0, sk_B, X3, X2, X1, sk_A1)))
0.00/0.28	          = sk_A41(X0, sk_B, X3, X2, X1, sk_A1)),
0.00/0.28	    inference('sup-', [status(thm)], ['12', '13'])).
0.00/0.28	tff('15', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), 
0.00/0.28	      X2 : app_encode_fun(sk_B, X0), X3 : app_encode_fun(X0, sk_B), 
0.00/0.28	      X4 : 'type/nums/num']:
0.00/0.28	      (app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	         app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	           sk_A41(X0, sk_B, X3, X2, X1, sk_A1)))
0.00/0.28	        = sk_A41(X0, sk_B, X3, X2, X1, sk_A1)
0.00/0.28	       | zip_tseitin2(X0, sk_B, X4, X1, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(X0, sk_B, sk_A4(X0, sk_B, X3, X2, X1, sk_A1), X3, 
0.00/0.28	             X2, X1, sk_A1)),
0.00/0.28	    inference('simplify', [status(thm)], ['14'])).
0.00/0.28	tff('16', plain,
0.00/0.28	    ![X24 : sk_B]:
0.00/0.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	           'const/sets/IN'(sk_A), app_encode_app(sk_B, sk_A, sk_A3, X24)), 
0.00/0.28	         sk_A0)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_B, $o), $o, 
0.00/0.28	             app_encode_app(sk_B, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_B, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_B), X24), sk_A1)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('17', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), 
0.00/0.28	      X2 : app_encode_fun(sk_B, X0), X3 : app_encode_fun(X0, sk_B), 
0.00/0.28	      X4 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ zip_tseitin0(X0, sk_B, sk_A4(X0, sk_B, X3, X2, X1, sk_A1), X3, 
0.00/0.28	             X2, X1, sk_A1)
0.00/0.28	       | zip_tseitin2(X0, sk_B, X4, X1, sk_A1)
0.00/0.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	           app_encode_app(sk_A, 
0.00/0.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	             'const/sets/IN'(sk_A), 
0.00/0.28	             app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	               sk_A41(X0, sk_B, X3, X2, X1, sk_A1))), sk_A0)),
0.00/0.28	    inference('sup-', [status(thm)], ['12', '16'])).
0.00/0.28	tff('18', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), 
0.00/0.28	      X2 : app_encode_fun(sk_B, X0), X3 : app_encode_fun(X0, sk_B), 
0.00/0.28	      X4 : 'type/nums/num']:
0.00/0.28	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	           'const/sets/IN'(sk_A), 
0.00/0.28	           app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	             sk_A41(X0, sk_B, X3, X2, X1, sk_A1))), sk_A0)
0.00/0.28	       | zip_tseitin2(X0, sk_B, X4, X1, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(X0, sk_B, sk_A4(X0, sk_B, X3, X2, X1, sk_A1), X3, 
0.00/0.28	             X2, X1, sk_A1)),
0.00/0.28	    inference('simplify', [status(thm)], ['17'])).
0.00/0.28	tff('19', plain,
0.00/0.28	    ![X8 : $tType, X9 : $tType, X11 : app_encode_fun(X8, X9), 
0.00/0.28	      X12 : app_encode_fun(X9, X8), X13 : app_encode_fun(X8, $o), 
0.00/0.28	      X14 : app_encode_fun(X9, $o), X15 : X9]:
0.00/0.28	      (zip_tseitin1(X8, X9, X15, X11, X12, X13, X14)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.28	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.28	               'const/sets/IN'(X8), app_encode_app(X9, X8, X12, X15)), X13)
0.00/0.28	       | app_encode_app(X8, X9, X11, app_encode_app(X9, X8, X12, X15)) != X15),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.28	tff('20', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : $tType, 
0.00/0.28	      X3 : app_encode_fun(X2, $o), X4 : app_encode_fun(X0, X2), 
0.00/0.28	      X5 : app_encode_fun(X2, X0), X6 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | app_encode_app(X2, X0, X5, 
0.00/0.28	           app_encode_app(X0, X2, X4, sk_A41(X2, X0, X5, X4, X3, X1)))
0.00/0.28	          != sk_A41(X2, X0, X5, X4, X3, X1)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.28	             app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.28	               'const/sets/IN'(X2), 
0.00/0.28	               app_encode_app(X0, X2, X4, sk_A41(X2, X0, X5, X4, X3, X1))), 
0.00/0.28	             X3)
0.00/0.28	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.00/0.28	             X1)
0.00/0.28	       | zip_tseitin2(X2, X0, X6, X3, X1)),
0.00/0.28	    inference('sup-', [status(thm)], ['19', '10'])).
0.00/0.28	tff('21', plain,
0.00/0.28	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : $tType, 
0.00/0.28	      X3 : app_encode_fun(X2, $o), X4 : app_encode_fun(X0, X2), 
0.00/0.28	      X5 : app_encode_fun(X2, X0), X6 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(X2, X0, X6, X3, X1)
0.00/0.28	       | ~ zip_tseitin0(X2, X0, sk_A4(X2, X0, X5, X4, X3, X1), X5, X4, X3, 
0.00/0.28	             X1)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.28	             app_encode_app(X2, app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.28	               'const/sets/IN'(X2), 
0.00/0.28	               app_encode_app(X0, X2, X4, sk_A41(X2, X0, X5, X4, X3, X1))), 
0.00/0.28	             X3)
0.00/0.28	       | app_encode_app(X2, X0, X5, 
0.00/0.28	           app_encode_app(X0, X2, X4, sk_A41(X2, X0, X5, X4, X3, X1)))
0.00/0.28	          != sk_A41(X2, X0, X5, X4, X3, X1)),
0.00/0.28	    inference('simplify', [status(thm)], ['20'])).
0.00/0.28	tff('22', plain,
0.00/0.28	    ![X0 : app_encode_fun(sk_A, sk_B), X1 : 'type/nums/num', 
0.00/0.28	      X2 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	             sk_A4(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1), X0, sk_A3, sk_A0, 
0.00/0.28	             sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X2, sk_A0, sk_A1)
0.00/0.28	       | app_encode_app(sk_A, sk_B, X0, 
0.00/0.28	           app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	             sk_A41(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A41(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	             sk_A4(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1), X0, sk_A3, sk_A0, 
0.00/0.28	             sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)),
0.00/0.28	    inference('sup-', [status(thm)], ['18', '21'])).
0.00/0.28	tff('23', plain,
0.00/0.28	    ![X0 : app_encode_fun(sk_A, sk_B), X1 : 'type/nums/num', 
0.00/0.28	      X2 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.00/0.28	       | app_encode_app(sk_A, sk_B, X0, 
0.00/0.28	           app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	             sk_A41(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A41(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X2, sk_A0, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	             sk_A4(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1), X0, sk_A3, sk_A0, 
0.00/0.28	             sk_A1)),
0.00/0.28	    inference('simplify', [status(thm)], ['22'])).
0.00/0.28	tff('24', plain,
0.00/0.28	    ![X0 : app_encode_fun(sk_A, sk_B), X1 : 'type/nums/num']:
0.00/0.28	      (~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	           sk_A4(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1), X0, sk_A3, sk_A0, 
0.00/0.28	           sk_A1)
0.00/0.28	       | app_encode_app(sk_A, sk_B, X0, 
0.00/0.28	           app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	             sk_A41(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A41(sk_A, sk_B, X0, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)),
0.00/0.28	    inference('condensation', [status(thm)], ['23'])).
0.00/0.28	tff('25', plain,
0.00/0.28	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.00/0.28	      (sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.00/0.28	        != sk_A41(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A2, sk_A3, 
0.00/0.28	             sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A2, sk_A3, 
0.00/0.28	             sk_A0, sk_A1)),
0.00/0.28	    inference('sup-', [status(thm)], ['15', '24'])).
0.00/0.28	tff('26', plain,
0.00/0.28	    ![X0 : 'type/nums/num', X1 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X1, sk_A0, sk_A1)
0.00/0.28	       | ~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A2, sk_A3, 
0.00/0.28	             sk_A0, sk_A1)),
0.00/0.28	    inference('simplify', [status(thm)], ['25'])).
0.00/0.28	tff('27', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ zip_tseitin0(sk_A, sk_B, 
0.00/0.28	           sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1), sk_A2, sk_A3, 
0.00/0.28	           sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.00/0.28	    inference('condensation', [status(thm)], ['26'])).
0.00/0.28	tff('28', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	           app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_B, $o), $o, 
0.00/0.28	             app_encode_app(sk_B, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_B, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_B), 
0.00/0.28	               app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	                 sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1))), sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.00/0.28	    inference('sup-', [status(thm)], ['8', '27'])).
0.00/0.28	tff('29', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_B, $o), $o, 
0.00/0.28	             app_encode_app(sk_B, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_B, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_B), 
0.00/0.28	               app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	                 sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1))), sk_A1)
0.00/0.28	       | app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	           app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)),
0.00/0.28	    inference('simplify', [status(thm)], ['28'])).
0.00/0.28	tff('30', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	             app_encode_app(sk_A, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_A), 
0.00/0.28	               sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.00/0.28	       | app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	           app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.00/0.28	    inference('sup-', [status(thm)], ['7', '29'])).
0.00/0.28	tff('31', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.00/0.28	       | app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	           app_encode_app(sk_A, sk_B, sk_A2, 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)))
0.00/0.28	          != sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	             app_encode_app(sk_A, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_A), 
0.00/0.28	               sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)),
0.00/0.28	    inference('simplify', [status(thm)], ['30'])).
0.00/0.28	tff('32', plain,
0.00/0.28	    ![X25 : sk_A]:
0.00/0.28	      (app_encode_app(sk_B, sk_A, sk_A3, 
0.00/0.28	         app_encode_app(sk_A, sk_B, sk_A2, X25))
0.00/0.28	        = X25
0.00/0.28	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	             app_encode_app(sk_A, 
0.00/0.28	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	               'const/sets/IN'(sk_A), X25), sk_A0)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.28	tff('33', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	           app_encode_app(sk_A, 
0.00/0.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	             'const/sets/IN'(sk_A), 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.00/0.28	    inference('clc', [status(thm)], ['31', '32'])).
0.00/0.28	tff('34', plain,
0.00/0.28	    ![X8 : $tType, X9 : $tType, X10 : X8, X11 : app_encode_fun(X8, X9), 
0.00/0.28	      X12 : app_encode_fun(X9, X8), X13 : app_encode_fun(X8, $o), 
0.00/0.28	      X14 : app_encode_fun(X9, $o)]:
0.00/0.28	      (zip_tseitin0(X8, X9, X10, X11, X12, X13, X14)
0.00/0.28	       | app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.28	           app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.28	             'const/sets/IN'(X8), X10), X13)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.28	tff('35', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	           app_encode_app(sk_A, 
0.00/0.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	             'const/sets/IN'(sk_A), 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)
0.00/0.28	       | zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)),
0.00/0.28	    inference('sup-', [status(thm)], ['34', '27'])).
0.00/0.28	tff('36', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1)
0.00/0.28	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.28	           app_encode_app(sk_A, 
0.00/0.28	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.28	             'const/sets/IN'(sk_A), 
0.00/0.28	             sk_A4(sk_A, sk_B, sk_A2, sk_A3, sk_A0, sk_A1)), sk_A0)),
0.00/0.28	    inference('simplify', [status(thm)], ['35'])).
0.00/0.28	tff('37', plain,
0.00/0.28	    ![X0 : 'type/nums/num']: zip_tseitin2(sk_A, sk_B, X0, sk_A0, sk_A1),
0.00/0.28	    inference('clc', [status(thm)], ['33', '36'])).
0.00/0.28	tff('38', plain,
0.00/0.28	    ![X8 : $tType, X9 : $tType, X13 : app_encode_fun(X8, $o), 
0.00/0.28	      X14 : app_encode_fun(X9, $o), X16 : 'type/nums/num']:
0.00/0.28	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.28	           app_encode_app(app_encode_fun(X9, $o), 
0.00/0.28	             app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(X9), 
0.00/0.28	             X14), X16)
0.00/0.28	       | app_encode_app('type/nums/num', $o, 
0.00/0.28	           app_encode_app(app_encode_fun(X8, $o), 
0.00/0.28	             app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(X8), 
0.00/0.28	             X13), X16)
0.00/0.28	       | ~ zip_tseitin2(X8, X9, X16, X13, X14)),
0.00/0.28	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.28	tff('39', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ $true
0.00/0.28	       | app_encode_app('type/nums/num', $o, 
0.00/0.28	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.28	             app_encode_fun('type/nums/num', $o), 
0.00/0.28	             'const/sets/HAS_SIZE'(sk_A), sk_A0), X0)
0.00/0.28	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.28	             app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.28	               app_encode_fun('type/nums/num', $o), 
0.00/0.28	               'const/sets/HAS_SIZE'(sk_B), sk_A1), X0)),
0.00/0.28	    inference('sup-', [status(thm)], ['37', '38'])).
0.00/0.28	tff('40', plain,
0.00/0.28	    ![X0 : 'type/nums/num']:
0.00/0.28	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.28	           app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.28	             app_encode_fun('type/nums/num', $o), 
0.00/0.28	             'const/sets/HAS_SIZE'(sk_B), sk_A1), X0)
0.00/0.28	       | app_encode_app('type/nums/num', $o, 
0.00/0.28	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.28	             app_encode_fun('type/nums/num', $o), 
0.00/0.28	             'const/sets/HAS_SIZE'(sk_A), sk_A0), X0)),
0.00/0.28	    inference('simplify', [status(thm)], ['39'])).
0.00/0.28	tff('41', plain,
0.00/0.28	    (~ $true
0.00/0.28	     | app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.28	           sk_A0), 
0.00/0.28	         app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.28	           'const/sets/CARD'(sk_A), sk_A0))
0.00/0.28	     | app_encode_app('type/nums/num', $o, 
0.00/0.28	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.28	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.28	           sk_A0), 
0.00/0.28	         app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	           'const/sets/CARD'(sk_B), sk_A1))),
0.00/0.29	    inference('sup-', [status(thm)], ['6', '40'])).
0.00/0.29	tff('42', plain,
0.00/0.29	    (app_encode_app('type/nums/num', $o, 
0.00/0.29	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	         app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.29	         sk_A0), 
0.00/0.29	       app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	         'const/sets/CARD'(sk_B), sk_A1))
0.00/0.29	     | app_encode_app('type/nums/num', $o, 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.29	           sk_A0), 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	           'const/sets/CARD'(sk_A), sk_A0))),
0.00/0.29	    inference('simplify', [status(thm)], ['41'])).
0.00/0.29	tff('43', plain,
0.00/0.29	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X6 : 'type/nums/num']:
0.00/0.29	      (app_encode_app(app_encode_fun(X4, $o), 'type/nums/num', 
0.00/0.29	         'const/sets/CARD'(X4), X5)
0.00/0.29	        = X6
0.00/0.29	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.29	             app_encode_app(app_encode_fun(X4, $o), 
0.00/0.29	               app_encode_fun('type/nums/num', $o), 
0.00/0.29	               'const/sets/HAS_SIZE'(X4), X5), X6)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.29	tff('44', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | app_encode_app('type/nums/num', $o, 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.29	           sk_A0), 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	           'const/sets/CARD'(sk_A), sk_A0))
0.00/0.29	     | app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	         'const/sets/CARD'(sk_A), sk_A0)
0.00/0.29	        = app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	            'const/sets/CARD'(sk_B), sk_A1)),
0.00/0.29	    inference('sup-', [status(thm)], ['42', '43'])).
0.00/0.29	tff('45', plain,
0.00/0.29	    (app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	       'const/sets/CARD'(sk_A), sk_A0)
0.00/0.29	      = app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	          'const/sets/CARD'(sk_B), sk_A1)
0.00/0.29	     | app_encode_app('type/nums/num', $o, 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	           app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.29	           sk_A0), 
0.00/0.29	         app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	           'const/sets/CARD'(sk_A), sk_A0))),
0.00/0.29	    inference('simplify', [status(thm)], ['44'])).
0.00/0.29	tff('46', plain,
0.00/0.29	    app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	      'const/sets/CARD'(sk_A), sk_A0)
0.00/0.29	     != app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	          'const/sets/CARD'(sk_B), sk_A1),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('47', plain,
0.00/0.29	    app_encode_app('type/nums/num', $o, 
0.00/0.29	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	        app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(sk_A), 
0.00/0.29	        sk_A0), 
0.00/0.29	      app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	        'const/sets/CARD'(sk_A), sk_A0)),
0.00/0.29	    inference('simplify_reflect-', [status(thm)], ['45', '46'])).
0.00/0.29	tff('48', plain,
0.00/0.29	    ![X8 : $tType, X9 : $tType, X13 : app_encode_fun(X8, $o), 
0.00/0.29	      X14 : app_encode_fun(X9, $o), X16 : 'type/nums/num']:
0.00/0.29	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.29	           app_encode_app(app_encode_fun(X8, $o), 
0.00/0.29	             app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(X8), 
0.00/0.29	             X13), X16)
0.00/0.29	       | app_encode_app('type/nums/num', $o, 
0.00/0.29	           app_encode_app(app_encode_fun(X9, $o), 
0.00/0.29	             app_encode_fun('type/nums/num', $o), 'const/sets/HAS_SIZE'(X9), 
0.00/0.29	             X14), X16)
0.00/0.29	       | ~ zip_tseitin2(X8, X9, X16, X13, X14)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.29	tff('49', plain,
0.00/0.29	    ![X0 : 'type/nums/num']:
0.00/0.29	      (~ $true
0.00/0.29	       | app_encode_app('type/nums/num', $o, 
0.00/0.29	           app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.29	             app_encode_fun('type/nums/num', $o), 
0.00/0.29	             'const/sets/HAS_SIZE'(sk_B), sk_A1), X0)
0.00/0.29	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.29	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	               app_encode_fun('type/nums/num', $o), 
0.00/0.29	               'const/sets/HAS_SIZE'(sk_A), sk_A0), X0)),
0.00/0.29	    inference('sup-', [status(thm)], ['37', '48'])).
0.00/0.29	tff('50', plain,
0.00/0.29	    ![X0 : 'type/nums/num']:
0.00/0.29	      (~ app_encode_app('type/nums/num', $o, 
0.00/0.29	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	             app_encode_fun('type/nums/num', $o), 
0.00/0.29	             'const/sets/HAS_SIZE'(sk_A), sk_A0), X0)
0.00/0.29	       | app_encode_app('type/nums/num', $o, 
0.00/0.29	           app_encode_app(app_encode_fun(sk_B, $o), 
0.00/0.29	             app_encode_fun('type/nums/num', $o), 
0.00/0.29	             'const/sets/HAS_SIZE'(sk_B), sk_A1), X0)),
0.00/0.29	    inference('simplify', [status(thm)], ['49'])).
0.00/0.29	tff('51', plain,
0.00/0.29	    ![X0 : 'type/nums/num']:
0.00/0.29	      (~ $true
0.00/0.29	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.29	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	               app_encode_fun('type/nums/num', $o), 
0.00/0.29	               'const/sets/HAS_SIZE'(sk_A), sk_A0), X0)
0.00/0.29	       | app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	           'const/sets/CARD'(sk_B), sk_A1)
0.00/0.29	          = X0),
0.00/0.29	    inference('sup-', [status(thm)], ['50', '43'])).
0.00/0.29	tff('52', plain,
0.00/0.29	    ![X0 : 'type/nums/num']:
0.00/0.29	      (app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	         'const/sets/CARD'(sk_B), sk_A1)
0.00/0.29	        = X0
0.00/0.29	       | ~ app_encode_app('type/nums/num', $o, 
0.00/0.29	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.29	               app_encode_fun('type/nums/num', $o), 
0.00/0.29	               'const/sets/HAS_SIZE'(sk_A), sk_A0), X0)),
0.00/0.29	    inference('simplify', [status(thm)], ['51'])).
0.00/0.29	tff('53', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	         'const/sets/CARD'(sk_B), sk_A1)
0.00/0.29	        = app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	            'const/sets/CARD'(sk_A), sk_A0)),
0.00/0.29	    inference('sup-', [status(thm)], ['47', '52'])).
0.00/0.29	tff('54', plain,
0.00/0.29	    app_encode_app(app_encode_fun(sk_B, $o), 'type/nums/num', 
0.00/0.29	      'const/sets/CARD'(sk_B), sk_A1)
0.00/0.29	     = app_encode_app(app_encode_fun(sk_A, $o), 'type/nums/num', 
0.00/0.29	         'const/sets/CARD'(sk_A), sk_A0),
0.00/0.29	    inference('simplify', [status(thm)], ['53'])).
0.00/0.29	tff('55', plain, $false,
0.00/0.29	    inference('simplify_reflect-', [status(thm)], ['54', '46'])).
0.00/0.29	
0.00/0.29	% SZS output end Refutation
0.00/0.29	EOF
