0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n126.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:37:54 CST 2018
0.00/0.22	% done 17 iterations in 0.022s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_11, axiom,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.23	     A2:app_encode_fun(A,'type/nums/num')]:
0.00/0.23	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0) & 
0.00/0.23	       app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.23	       (![A3:A]:
0.00/0.23	          (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                          app_encode_app(A,
0.00/0.23	                                         app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                        $o),
0.00/0.23	                                         'const/sets/IN'(A),A3),
0.00/0.23	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                         app_encode_fun(A,$o),
0.00/0.23	                                         app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(
0.00/0.23	                                                        app_encode_fun(A,$o),
0.00/0.23	                                                        app_encode_fun(A,$o)),
0.00/0.23	                                                        'const/sets/DIFF'(A),
0.00/0.23	                                                        A0),
0.00/0.23	                                         A1)) =>
0.00/0.23	           (app_encode_app(A,'type/nums/num',A2,A3) =
0.00/0.23	            app_encode_app('type/nums/num','type/nums/num',
0.00/0.23	                           'const/nums/NUMERAL','const/nums/_0'))))) =>
0.00/0.23	      app_encode_app('type/nums/num',$o,
0.00/0.23	                     app_encode_app('type/nums/num',
0.00/0.23	                                    app_encode_fun('type/nums/num',$o),
0.00/0.23	                                    'const/arith/<=',
0.00/0.23	                                    app_encode_app(app_encode_fun(A,
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                   'type/nums/num',
0.00/0.23	                                                   app_encode_app(app_encode_fun(
0.00/0.23	                                                                  A,$o),
0.00/0.23	                                                                  app_encode_fun(
0.00/0.23	                                                                  app_encode_fun(
0.00/0.23	                                                                  A,
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                                  'const/iterate/nsum'(
0.00/0.23	                                                                  A),A0),
0.00/0.23	                                                   A2)),
0.00/0.23	                     app_encode_app(app_encode_fun(A,'type/nums/num'),
0.00/0.23	                                    'type/nums/num',
0.00/0.23	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                   app_encode_fun(app_encode_fun(
0.00/0.23	                                                                  A,
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                   'const/iterate/nsum'(A),A1),
0.00/0.23	                                    A2))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.23	      X3 : app_encode_fun(X0, 'type/nums/num')]:
0.00/0.23	      (~ app_encode_app(app_encode_fun(X0, $o), $o, 'const/sets/FINITE'(X0), 
0.00/0.23	           X1)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X0), X2)
0.00/0.23	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.23	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.23	             'const/sets/IN'(X0), sk_A3(X0, X3, X1, X2)), 
0.00/0.23	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.23	               'const/sets/DIFF'(X0), X2), X1))
0.00/0.23	       | app_encode_app('type/nums/num', $o, 
0.00/0.23	           app_encode_app('type/nums/num', 
0.00/0.23	             app_encode_fun('type/nums/num', $o), 'const/arith/<=', 
0.00/0.23	             app_encode_app(app_encode_fun(X0, 'type/nums/num'), 
0.00/0.23	               'type/nums/num', 
0.00/0.23	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(X0, 'type/nums/num'), 
0.00/0.23	                   'type/nums/num'), 'const/iterate/nsum'(X0), X2), X3)), 
0.00/0.23	           app_encode_app(app_encode_fun(X0, 'type/nums/num'), 
0.00/0.23	             'type/nums/num', 
0.00/0.23	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X0, 'type/nums/num'), 
0.00/0.23	                 'type/nums/num'), 'const/iterate/nsum'(X0), X1), X3))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.23	tff(zf_stmt_15, conjecture,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.23	     A2:app_encode_fun(A,'type/nums/num')]:
0.00/0.23	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.23	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                     'const/sets/SUBSET'(A),A0),
0.00/0.23	                      A1)) =>
0.00/0.23	      app_encode_app('type/nums/num',$o,
0.00/0.23	                     app_encode_app('type/nums/num',
0.00/0.23	                                    app_encode_fun('type/nums/num',$o),
0.00/0.23	                                    'const/arith/<=',
0.00/0.23	                                    app_encode_app(app_encode_fun(A,
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                   'type/nums/num',
0.00/0.23	                                                   app_encode_app(app_encode_fun(
0.00/0.23	                                                                  A,$o),
0.00/0.23	                                                                  app_encode_fun(
0.00/0.23	                                                                  app_encode_fun(
0.00/0.23	                                                                  A,
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                                  'const/iterate/nsum'(
0.00/0.23	                                                                  A),A0),
0.00/0.23	                                                   A2)),
0.00/0.23	                     app_encode_app(app_encode_fun(A,'type/nums/num'),
0.00/0.23	                                    'type/nums/num',
0.00/0.23	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                   app_encode_fun(app_encode_fun(
0.00/0.23	                                                                  A,
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                                  'type/nums/num'),
0.00/0.23	                                                   'const/iterate/nsum'(A),A1),
0.00/0.23	                                    A2))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.23	       A2:app_encode_fun(A,'type/nums/num')]:
0.00/0.23	       ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.23	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                       'const/sets/SUBSET'(A),A0),
0.00/0.23	                        A1)) =>
0.00/0.23	        app_encode_app('type/nums/num',$o,
0.00/0.23	                       app_encode_app('type/nums/num',
0.00/0.23	                                      app_encode_fun('type/nums/num',$o),
0.00/0.23	                                      'const/arith/<=',
0.00/0.23	                                      app_encode_app(app_encode_fun(A,
0.00/0.23	                                                                    'type/nums/num'),
0.00/0.23	                                                     'type/nums/num',
0.00/0.23	                                                     app_encode_app(app_encode_fun(
0.00/0.23	                                                                    A,$o),
0.00/0.23	                                                                    app_encode_fun(
0.00/0.23	                                                                    app_encode_fun(
0.00/0.23	                                                                    A,
0.00/0.23	                                                                    'type/nums/num'),
0.00/0.23	                                                                    'type/nums/num'),
0.00/0.23	                                                                    'const/iterate/nsum'(
0.00/0.23	                                                                    A),A0),
0.00/0.23	                                                     A2)),
0.00/0.23	                       app_encode_app(app_encode_fun(A,'type/nums/num'),
0.00/0.23	                                      'type/nums/num',
0.00/0.23	                                      app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                     app_encode_fun(app_encode_fun(
0.00/0.23	                                                                    A,
0.00/0.23	                                                                    'type/nums/num'),
0.00/0.23	                                                                    'type/nums/num'),
0.00/0.23	                                                     'const/iterate/nsum'(A),
0.00/0.23	                                                     A1),
0.00/0.23	                                      A2)))))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ~ app_encode_app('type/nums/num', $o, 
0.00/0.23	        app_encode_app('type/nums/num', app_encode_fun('type/nums/num', $o), 
0.00/0.23	          'const/arith/<=', 
0.00/0.23	          app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.23	            'type/nums/num', 
0.00/0.23	            app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	              app_encode_fun(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.23	                'type/nums/num'), 'const/iterate/nsum'(sk_A), sk_A0), sk_A21)), 
0.00/0.23	        app_encode_app(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.23	          'type/nums/num', 
0.00/0.23	          app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	            app_encode_fun(app_encode_fun(sk_A, 'type/nums/num'), 
0.00/0.23	              'type/nums/num'), 'const/iterate/nsum'(sk_A), sk_A1), sk_A21)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('2', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	           'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), 
0.00/0.23	         app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), sk_A0), 
0.00/0.23	           sk_A1))
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           'const/sets/FINITE'(sk_A), sk_A0)
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           'const/sets/FINITE'(sk_A), sk_A1)),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.23	tff('3', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	        'const/sets/SUBSET'(sk_A), sk_A0), sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(zf_stmt_12, axiom,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.23	     ((app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A1) & 
0.00/0.23	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                     'const/sets/SUBSET'(A),A0),
0.00/0.23	                      A1)) =>
0.00/0.23	      app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),A0)))).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X6 : app_encode_fun(X4, $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun(X4, $o), $o, 'const/sets/FINITE'(X4), 
0.00/0.23	         X5)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.23	             'const/sets/FINITE'(X4), X6)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(X4, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.23	               'const/sets/SUBSET'(X4), X5), X6)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.23	tff('5', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           'const/sets/FINITE'(sk_A), sk_A1)
0.00/0.23	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	         'const/sets/FINITE'(sk_A), sk_A0)),
0.00/0.23	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.23	tff('6', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.23	      sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('7', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ $true
0.00/0.23	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	         'const/sets/FINITE'(sk_A), sk_A0)),
0.00/0.23	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 'const/sets/FINITE'(sk_A), 
0.00/0.23	      sk_A0),
0.00/0.23	    inference('simplify', [status(thm)], ['7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	           'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), 
0.00/0.23	         app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(sk_A, $o)), 'const/sets/DIFF'(sk_A), sk_A0), 
0.00/0.23	           sk_A1))
0.00/0.23	     | ~ $true
0.00/0.23	     | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['2', '8', '6'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	      app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	        'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), 
0.00/0.23	      app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.23	        app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	          app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
0.00/0.23	          'const/sets/DIFF'(sk_A), sk_A0), sk_A1)),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff(zf_stmt_14, axiom,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),A2:A]:
0.00/0.23	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                     app_encode_app(A,
0.00/0.23	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                    'const/sets/IN'(A),A2),
0.00/0.23	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                    app_encode_fun(A,$o),
0.00/0.23	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                                   app_encode_fun(app_encode_fun(
0.00/0.23	                                                                  A,$o),
0.00/0.23	                                                                  app_encode_fun(
0.00/0.23	                                                                  A,$o)),
0.00/0.23	                                                   'const/sets/DIFF'(A),A0),
0.00/0.23	                                    A1)) <=>
0.00/0.23	      (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                      app_encode_app(A,
0.00/0.23	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                     'const/sets/IN'(A),A2),
0.00/0.23	                      A0) & 
0.00/0.23	       (~
0.00/0.23	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                        app_encode_app(A,
0.00/0.23	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                       'const/sets/IN'(A),A2),
0.00/0.23	                        A1)))))).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X12 : $tType, X13 : X12, X14 : app_encode_fun(X12, $o), 
0.00/0.23	      X15 : app_encode_fun(X12, $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun(X12, $o), $o, 
0.00/0.23	         app_encode_app(X12, app_encode_fun(app_encode_fun(X12, $o), $o), 
0.00/0.23	           'const/sets/IN'(X12), X13), X14)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X12, $o), $o, 
0.00/0.23	             app_encode_app(X12, 
0.00/0.23	               app_encode_fun(app_encode_fun(X12, $o), $o), 
0.00/0.23	               'const/sets/IN'(X12), X13), 
0.00/0.23	             app_encode_app(app_encode_fun(X12, $o), 
0.00/0.23	               app_encode_fun(X12, $o), 
0.00/0.23	               app_encode_app(app_encode_fun(X12, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(X12, $o), 
0.00/0.23	                   app_encode_fun(X12, $o)), 'const/sets/DIFF'(X12), X14), 
0.00/0.23	               X15))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.23	tff('12', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	           'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), sk_A0)),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	      app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	        'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), sk_A0),
0.00/0.23	    inference('simplify', [status(thm)], ['12'])).
0.00/0.23	tff(zf_stmt_13, axiom,
0.00/0.23	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.23	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.23	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.23	                                    'const/sets/SUBSET'(A),A0),
0.00/0.23	                     A1) <=>
0.00/0.23	      (![A2:A]:
0.00/0.23	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                         app_encode_app(A,
0.00/0.23	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                       $o),
0.00/0.23	                                        'const/sets/IN'(A),A2),
0.00/0.23	                         A0) =>
0.00/0.23	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.23	                         app_encode_app(A,
0.00/0.23	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.23	                                                       $o),
0.00/0.23	                                        'const/sets/IN'(A),A2),
0.00/0.23	                         A1)))))).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X7 : $tType, X8 : X7, X9 : app_encode_fun(X7, $o), 
0.00/0.23	      X10 : app_encode_fun(X7, $o)]:
0.00/0.23	      (~ app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.23	           app_encode_app(X7, app_encode_fun(app_encode_fun(X7, $o), $o), 
0.00/0.23	             'const/sets/IN'(X7), X8), X9)
0.00/0.23	       | app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.23	           app_encode_app(X7, app_encode_fun(app_encode_fun(X7, $o), $o), 
0.00/0.23	             'const/sets/IN'(X7), X8), X10)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(X7, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(X7, $o), $o), 
0.00/0.23	               'const/sets/SUBSET'(X7), X9), X10)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_13])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.23	      (~ $true
0.00/0.23	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	               'const/sets/SUBSET'(sk_A), sk_A0), X0)
0.00/0.23	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           app_encode_app(sk_A, 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	             'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), X0)),
0.00/0.23	    inference('sup-', [status(thm)], ['13', '14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.23	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	           'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), X0)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	             app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	               'const/sets/SUBSET'(sk_A), sk_A0), X0)),
0.00/0.23	    inference('simplify', [status(thm)], ['15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    ![X12 : $tType, X13 : X12, X14 : app_encode_fun(X12, $o), 
0.00/0.23	      X15 : app_encode_fun(X12, $o)]:
0.00/0.23	      (~ app_encode_app(app_encode_fun(X12, $o), $o, 
0.00/0.23	           app_encode_app(X12, app_encode_fun(app_encode_fun(X12, $o), $o), 
0.00/0.23	             'const/sets/IN'(X12), X13), X15)
0.00/0.23	       | ~ app_encode_app(app_encode_fun(X12, $o), $o, 
0.00/0.23	             app_encode_app(X12, 
0.00/0.23	               app_encode_fun(app_encode_fun(X12, $o), $o), 
0.00/0.23	               'const/sets/IN'(X12), X13), 
0.00/0.23	             app_encode_app(app_encode_fun(X12, $o), 
0.00/0.23	               app_encode_fun(X12, $o), 
0.00/0.23	               app_encode_app(app_encode_fun(X12, $o), 
0.00/0.23	                 app_encode_fun(app_encode_fun(X12, $o), 
0.00/0.23	                   app_encode_fun(X12, $o)), 'const/sets/DIFF'(X12), X14), 
0.00/0.23	               X15))),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_14])).
0.00/0.23	tff('18', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           app_encode_app(sk_A, 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	             'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), 
0.00/0.23	           sk_A1)),
0.00/0.23	    inference('sup-', [status(thm)], ['10', '17'])).
0.00/0.23	tff('19', plain,
0.00/0.23	    ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	        app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	          'const/sets/IN'(sk_A), sk_A3(sk_A, sk_A21, sk_A1, sk_A0)), sk_A1),
0.00/0.23	    inference('simplify', [status(thm)], ['18'])).
0.00/0.23	tff('20', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.23	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.23	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.23	             'const/sets/SUBSET'(sk_A), sk_A0), sk_A1)),
0.00/0.23	    inference('sup-', [status(thm)], ['16', '19'])).
0.00/0.23	tff('21', plain, (~ $true | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['20', '3'])).
0.00/0.23	tff('22', plain, $false, inference('simplify', [status(thm)], ['21'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
