0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n132.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:33:23 CST 2018
0.91/1.11	% done 83 iterations in 0.910s
0.91/1.11	% SZS status Theorem for 'stdin'
0.91/1.11	% SZS output start Refutation
0.91/1.11	tff(zf_stmt_5, conjecture,
0.91/1.11	  (![A:$tType,A0:$tType,P:app_encode_fun(A,$o),A1:app_encode_fun(A0,A),
0.91/1.11	     A2:app_encode_fun(A0,$o)]:
0.91/1.11	     ((![A3:A]:
0.91/1.11	         (app_encode_app(app_encode_fun(A,$o),$o,
0.91/1.11	                         app_encode_app(A,
0.91/1.11	                                        app_encode_fun(app_encode_fun(A,$o),
0.91/1.11	                                                       $o),
0.91/1.11	                                        'const/sets/IN'(A),A3),
0.91/1.11	                         app_encode_app(app_encode_fun(A0,$o),
0.91/1.11	                                        app_encode_fun(A,$o),
0.91/1.11	                                        app_encode_app(app_encode_fun(A0,A),
0.91/1.11	                                                       app_encode_fun(
0.91/1.11	                                                       app_encode_fun(A0,$o),
0.91/1.11	                                                       app_encode_fun(A,$o)),
0.91/1.11	                                                       'const/sets/IMAGE'(
0.91/1.11	                                                       A0,A),A1),
0.91/1.11	                                        A2)) =>
0.91/1.11	          app_encode_app(A,$o,P,A3))) <=>
0.91/1.11	      (![A3:A0]:
0.91/1.11	         (app_encode_app(app_encode_fun(A0,$o),$o,
0.91/1.11	                         app_encode_app(A0,
0.91/1.11	                                        app_encode_fun(app_encode_fun(A0,$o),
0.91/1.11	                                                       $o),
0.91/1.11	                                        'const/sets/IN'(A0),A3),
0.91/1.11	                         A2) =>
0.91/1.11	          app_encode_app(A,$o,P,app_encode_app(A0,A,A1,A3))))))).
0.91/1.11	tff(zf_stmt_0, negated_conjecture,
0.91/1.11	  (~
0.91/1.11	    (![A:$tType,A0:$tType,P:app_encode_fun(A,$o),A1:app_encode_fun(A0,A),
0.91/1.11	       A2:app_encode_fun(A0,$o)]:
0.91/1.11	       ((![A3:A]:
0.91/1.11	           (app_encode_app(app_encode_fun(A,$o),$o,
0.91/1.11	                           app_encode_app(A,
0.91/1.11	                                          app_encode_fun(app_encode_fun(A,$o),
0.91/1.11	                                                         $o),
0.91/1.11	                                          'const/sets/IN'(A),A3),
0.91/1.11	                           app_encode_app(app_encode_fun(A0,$o),
0.91/1.11	                                          app_encode_fun(A,$o),
0.91/1.11	                                          app_encode_app(app_encode_fun(A0,A),
0.91/1.11	                                                         app_encode_fun(
0.91/1.11	                                                         app_encode_fun(
0.91/1.11	                                                         A0,$o),
0.91/1.11	                                                         app_encode_fun(A,$o)),
0.91/1.11	                                                         'const/sets/IMAGE'(
0.91/1.11	                                                         A0,A),A1),
0.91/1.11	                                          A2)) =>
0.91/1.11	            app_encode_app(A,$o,P,A3))) <=>
0.91/1.11	        (![A3:A0]:
0.91/1.11	           (app_encode_app(app_encode_fun(A0,$o),$o,
0.91/1.11	                           app_encode_app(A0,
0.91/1.11	                                          app_encode_fun(app_encode_fun(
0.91/1.11	                                                         A0,$o),$o),
0.91/1.11	                                          'const/sets/IN'(A0),A3),
0.91/1.11	                           A2) =>
0.91/1.11	            app_encode_app(A,$o,P,app_encode_app(A0,A,A1,A3)))))))).
0.91/1.11	tff('0', plain,
0.91/1.11	    (~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.11	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.11	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.11	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.11	           'const/sets/IN'(sk_A), sk_A32), 
0.91/1.11	         app_encode_app(app_encode_fun(sk_A0, $o), app_encode_fun(sk_A, $o), 
0.91/1.11	           app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.11	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.11	               app_encode_fun(sk_A, $o)), 'const/sets/IMAGE'(sk_A0, sk_A), 
0.91/1.11	             sk_A1), sk_A2))),
0.91/1.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.11	tff('1', plain,
0.91/1.11	    (app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.11	       app_encode_app(sk_A0, app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.11	         'const/sets/IN'(sk_A0), sk_A31), sk_A2)
0.91/1.11	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.11	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.11	           'const/sets/IN'(sk_A), sk_A32), 
0.91/1.11	         app_encode_app(app_encode_fun(sk_A0, $o), app_encode_fun(sk_A, $o), 
0.91/1.11	           app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.11	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.11	               app_encode_fun(sk_A, $o)), 'const/sets/IMAGE'(sk_A0, sk_A), 
0.91/1.11	             sk_A1), sk_A2))),
0.91/1.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.11	tff(zf_stmt_4, axiom,
0.91/1.11	  (![B:$tType,A:$tType,A0:B,A1:app_encode_fun(A,$o),A2:app_encode_fun(A,B)]:
0.91/1.11	     (app_encode_app(app_encode_fun(B,$o),$o,
0.91/1.11	                     app_encode_app(B,
0.91/1.11	                                    app_encode_fun(app_encode_fun(B,$o),$o),
0.91/1.11	                                    'const/sets/IN'(B),A0),
0.91/1.11	                     app_encode_app(app_encode_fun(A,$o),
0.91/1.11	                                    app_encode_fun(B,$o),
0.91/1.11	                                    app_encode_app(app_encode_fun(A,B),
0.91/1.11	                                                   app_encode_fun(app_encode_fun(
0.91/1.11	                                                                  A,$o),
0.91/1.11	                                                                  app_encode_fun(
0.91/1.11	                                                                  B,$o)),
0.91/1.11	                                                   'const/sets/IMAGE'(A,B),A2),
0.91/1.11	                                    A1)) <=>
0.91/1.11	      (?[A3:A]:
0.91/1.11	         ((A0 = app_encode_app(A,B,A2,A3)) & 
0.91/1.11	          app_encode_app(app_encode_fun(A,$o),$o,
0.91/1.11	                         app_encode_app(A,
0.91/1.11	                                        app_encode_fun(app_encode_fun(A,$o),
0.91/1.11	                                                       $o),
0.91/1.11	                                        'const/sets/IN'(A),A3),
0.91/1.11	                         A1)))))).
0.91/1.11	tff('2', plain,
0.91/1.11	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
0.91/1.11	      X3 : app_encode_fun(X0, $o), X4 : X1]:
0.91/1.11	      (X4 = app_encode_app(X0, X1, X2, sk_A3(X0, X1, X2, X3, X4))
0.91/1.11	       | ~ app_encode_app(app_encode_fun(X1, $o), $o, 
0.91/1.11	             app_encode_app(X1, app_encode_fun(app_encode_fun(X1, $o), $o), 
0.91/1.11	               'const/sets/IN'(X1), X4), 
0.91/1.11	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X1, $o), 
0.91/1.11	               app_encode_app(app_encode_fun(X0, X1), 
0.91/1.11	                 app_encode_fun(app_encode_fun(X0, $o), 
0.91/1.11	                   app_encode_fun(X1, $o)), 'const/sets/IMAGE'(X0, X1), X2), 
0.91/1.11	               X3))),
0.91/1.11	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.91/1.11	tff('3', plain,
0.91/1.11	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
0.91/1.11	      X3 : app_encode_fun(X0, $o), X4 : X1]:
0.91/1.11	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.11	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.11	           'const/sets/IN'(X0), sk_A3(X0, X1, X2, X3, X4)), X3)
0.91/1.11	       | ~ app_encode_app(app_encode_fun(X1, $o), $o, 
0.91/1.11	             app_encode_app(X1, app_encode_fun(app_encode_fun(X1, $o), $o), 
0.91/1.11	               'const/sets/IN'(X1), X4), 
0.91/1.11	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X1, $o), 
0.91/1.11	               app_encode_app(app_encode_fun(X0, X1), 
0.91/1.11	                 app_encode_fun(app_encode_fun(X0, $o), 
0.91/1.11	                   app_encode_fun(X1, $o)), 'const/sets/IMAGE'(X0, X1), X2), 
0.91/1.11	               X3))),
0.91/1.11	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.91/1.11	tff('4', plain,
0.91/1.11	    ![X7 : sk_A0, X8 : sk_A]:
0.91/1.11	      (~ app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.11	           app_encode_app(sk_A0, 
0.91/1.11	             app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.11	             'const/sets/IN'(sk_A0), X7), sk_A2)
0.91/1.11	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.11	           app_encode_app(sk_A0, sk_A, sk_A1, X7))
0.91/1.11	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.11	             app_encode_app(sk_A, 
0.91/1.11	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.11	               'const/sets/IN'(sk_A), X8), 
0.91/1.11	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.11	               app_encode_fun(sk_A, $o), 
0.91/1.11	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.11	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.11	                   app_encode_fun(sk_A, $o)), 
0.91/1.11	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.11	       | app_encode_app(sk_A, $o, sk_P, X8)),
0.91/1.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.11	tff('5', plain,
0.91/1.11	    ![X0 : $tType, X1 : X0, X2 : app_encode_fun(sk_A0, X0), X3 : sk_A]:
0.91/1.11	      (~ $true
0.91/1.11	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.11	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.11	               'const/sets/IN'(X0), X1), 
0.91/1.11	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.11	               app_encode_fun(X0, $o), 
0.91/1.11	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.11	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.11	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.11	                 X2), sk_A2))
0.91/1.11	       | app_encode_app(sk_A, $o, sk_P, X3)
0.91/1.11	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.11	             app_encode_app(sk_A, 
0.91/1.11	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.11	               'const/sets/IN'(sk_A), X3), 
0.91/1.11	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.11	               app_encode_fun(sk_A, $o), 
0.91/1.11	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.11	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.11	                   app_encode_fun(sk_A, $o)), 
0.91/1.11	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.11	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.11	           app_encode_app(sk_A0, sk_A, sk_A1, 
0.91/1.11	             sk_A3(sk_A0, X0, X2, sk_A2, X1)))),
0.91/1.11	    inference('sup-', [status(thm)], ['3', '4'])).
0.91/1.11	tff('6', plain,
0.91/1.11	    ![X0 : $tType, X1 : X0, X2 : app_encode_fun(sk_A0, X0), X3 : sk_A]:
0.91/1.11	      (app_encode_app(sk_A, $o, sk_P, 
0.91/1.11	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A3(sk_A0, X0, X2, sk_A2, X1)))
0.91/1.11	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.11	             app_encode_app(sk_A, 
0.91/1.11	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.11	               'const/sets/IN'(sk_A), X3), 
0.91/1.11	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.11	               app_encode_fun(sk_A, $o), 
0.91/1.11	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, X3)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X1), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X2), sk_A2))),
0.91/1.12	    inference('simplify', [status(thm)], ['5'])).
0.91/1.12	tff('7', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0), X2 : X0]:
0.91/1.12	      (~ $true
0.91/1.12	       | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	           app_encode_app(sk_A0, 
0.91/1.12	             app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	             'const/sets/IN'(sk_A0), sk_A31), sk_A2)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X2), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, 
0.91/1.12	             sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.91/1.12	    inference('sup-', [status(thm)], ['1', '6'])).
0.91/1.12	tff('8', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0), X2 : X0]:
0.91/1.12	      (app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A3(sk_A0, X0, X1, sk_A2, X2)))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X2), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X1), sk_A2))
0.91/1.12	       | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	           app_encode_app(sk_A0, 
0.91/1.12	             app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	             'const/sets/IN'(sk_A0), sk_A31), sk_A2)),
0.91/1.12	    inference('simplify', [status(thm)], ['7'])).
0.91/1.12	tff('9', plain,
0.91/1.12	    (app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	       app_encode_app(sk_A0, app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	         'const/sets/IN'(sk_A0), sk_A31), sk_A2)
0.91/1.12	     | ~ app_encode_app(sk_A, $o, sk_P, sk_A32)),
0.91/1.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.12	tff('10', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0), X2 : X0]:
0.91/1.12	      (app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	         app_encode_app(sk_A0, 
0.91/1.12	           app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	           'const/sets/IN'(sk_A0), sk_A31), sk_A2)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X2), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, 
0.91/1.12	             sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.91/1.12	    inference('clc', [status(thm)], ['8', '9'])).
0.91/1.12	tff('11', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (app_encode_app(sk_A, $o, sk_P, X0)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	           app_encode_app(sk_A0, 
0.91/1.12	             app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	             'const/sets/IN'(sk_A0), sk_A31), sk_A2)),
0.91/1.12	    inference('sup+', [status(thm)], ['2', '10'])).
0.91/1.12	tff('12', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	         app_encode_app(sk_A0, 
0.91/1.12	           app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	           'const/sets/IN'(sk_A0), sk_A31), sk_A2)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, X0)),
0.91/1.12	    inference('simplify', [status(thm)], ['11'])).
0.91/1.12	tff('13', plain,
0.91/1.12	    (~ $true
0.91/1.12	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	         app_encode_app(sk_A0, 
0.91/1.12	           app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	           'const/sets/IN'(sk_A0), sk_A31), sk_A2)
0.91/1.12	     | app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	         app_encode_app(sk_A0, 
0.91/1.12	           app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	           'const/sets/IN'(sk_A0), sk_A31), sk_A2)),
0.91/1.12	    inference('sup-', [status(thm)], ['1', '12'])).
0.91/1.12	tff('14', plain,
0.91/1.12	    (app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	         app_encode_app(sk_A0, 
0.91/1.12	           app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	           'const/sets/IN'(sk_A0), sk_A31), sk_A2)),
0.91/1.12	    inference('simplify', [status(thm)], ['13'])).
0.91/1.12	tff('15', plain,
0.91/1.12	    app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.91/1.12	      app_encode_app(sk_A0, app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.91/1.12	        'const/sets/IN'(sk_A0), sk_A31), sk_A2),
0.91/1.12	    inference('clc', [status(thm)], ['14', '9'])).
0.91/1.12	tff('16', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (~ $true
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, X0)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))),
0.91/1.12	    inference('sup-', [status(thm)], ['15', '4'])).
0.91/1.12	tff('17', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, X0)),
0.91/1.12	    inference('simplify', [status(thm)], ['16'])).
0.91/1.12	tff('18', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0), X2 : X0]:
0.91/1.12	      (~ $true
0.91/1.12	       | ~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	             app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X2), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, 
0.91/1.12	             sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.91/1.12	    inference('sup-', [status(thm)], ['0', '6'])).
0.91/1.12	tff('19', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0), X2 : X0]:
0.91/1.12	      (app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A3(sk_A0, X0, X1, sk_A2, X2)))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X2), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X1), sk_A2))
0.91/1.12	       | ~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	             app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))),
0.91/1.12	    inference('simplify', [status(thm)], ['18'])).
0.91/1.12	tff('20', plain,
0.91/1.12	    (~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.12	     | ~ app_encode_app(sk_A, $o, sk_P, sk_A32)),
0.91/1.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.91/1.12	tff('21', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0), X2 : X0]:
0.91/1.12	      (~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X2), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(X0, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), 
0.91/1.12	                 X1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, 
0.91/1.12	             sk_A3(sk_A0, X0, X1, sk_A2, X2)))),
0.91/1.12	    inference('clc', [status(thm)], ['19', '20'])).
0.91/1.12	tff('22', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (app_encode_app(sk_A, $o, sk_P, X0)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | ~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	             app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))),
0.91/1.12	    inference('sup+', [status(thm)], ['2', '21'])).
0.91/1.12	tff('23', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))
0.91/1.12	       | app_encode_app(sk_A, $o, sk_P, X0)),
0.91/1.12	    inference('simplify', [status(thm)], ['22'])).
0.91/1.12	tff('24', plain,
0.91/1.12	    ![X0 : sk_A]:
0.91/1.12	      (app_encode_app(sk_A, $o, sk_P, X0)
0.91/1.12	       | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.91/1.12	             app_encode_app(sk_A, 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.91/1.12	               'const/sets/IN'(sk_A), X0), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.91/1.12	               app_encode_fun(sk_A, $o), 
0.91/1.12	               app_encode_app(app_encode_fun(sk_A0, sk_A), 
0.91/1.12	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                   app_encode_fun(sk_A, $o)), 
0.91/1.12	                 'const/sets/IMAGE'(sk_A0, sk_A), sk_A1), sk_A2))),
0.91/1.12	    inference('clc', [status(thm)], ['17', '23'])).
0.91/1.12	tff('25', plain,
0.91/1.12	    (~ $true
0.91/1.12	     | ~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))
0.91/1.12	     | app_encode_app(sk_A, $o, sk_P, sk_A32)),
0.91/1.12	    inference('sup-', [status(thm)], ['0', '24'])).
0.91/1.12	tff('26', plain,
0.91/1.12	    (app_encode_app(sk_A, $o, sk_P, sk_A32)
0.91/1.12	     | ~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))),
0.91/1.12	    inference('simplify', [status(thm)], ['25'])).
0.91/1.12	tff('27', plain,
0.91/1.12	    ![X0 : $tType, X1 : $tType, X3 : app_encode_fun(X0, $o), X4 : X1, 
0.91/1.12	      X5 : app_encode_fun(X0, X1), X6 : X0]:
0.91/1.12	      (app_encode_app(app_encode_fun(X1, $o), $o, 
0.91/1.12	         app_encode_app(X1, app_encode_fun(app_encode_fun(X1, $o), $o), 
0.91/1.12	           'const/sets/IN'(X1), X4), 
0.91/1.12	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X1, $o), 
0.91/1.12	           app_encode_app(app_encode_fun(X0, X1), 
0.91/1.12	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X1, $o)), 
0.91/1.12	             'const/sets/IMAGE'(X0, X1), X5), X3))
0.91/1.12	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	               'const/sets/IN'(X0), X6), X3)
0.91/1.12	       | X4 != app_encode_app(X0, X1, X5, X6)),
0.91/1.12	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.91/1.12	tff('28', plain,
0.91/1.12	    ![X0 : $tType, X1 : $tType, X3 : app_encode_fun(X0, $o), 
0.91/1.12	      X5 : app_encode_fun(X0, X1), X6 : X0]:
0.91/1.12	      (~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	             'const/sets/IN'(X0), X6), X3)
0.91/1.12	       | app_encode_app(app_encode_fun(X1, $o), $o, 
0.91/1.12	           app_encode_app(X1, app_encode_fun(app_encode_fun(X1, $o), $o), 
0.91/1.12	             'const/sets/IN'(X1), app_encode_app(X0, X1, X5, X6)), 
0.91/1.12	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X1, $o), 
0.91/1.12	             app_encode_app(app_encode_fun(X0, X1), 
0.91/1.12	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X1, $o)), 
0.91/1.12	               'const/sets/IMAGE'(X0, X1), X5), X3))),
0.91/1.12	    inference('simplify', [status(thm)], ['27'])).
0.91/1.12	tff('29', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0)]:
0.91/1.12	      (~ $true
0.91/1.12	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	             'const/sets/IN'(X0), app_encode_app(sk_A0, X0, X1, sk_A31)), 
0.91/1.12	           app_encode_app(app_encode_fun(sk_A0, $o), app_encode_fun(X0, $o), 
0.91/1.12	             app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.91/1.12	                 app_encode_fun(X0, $o)), 'const/sets/IMAGE'(sk_A0, X0), X1), 
0.91/1.12	             sk_A2))),
0.91/1.12	    inference('sup-', [status(thm)], ['15', '28'])).
0.91/1.12	tff('30', plain,
0.91/1.12	    ![X0 : $tType, X1 : app_encode_fun(sk_A0, X0)]:
0.91/1.12	      app_encode_app(app_encode_fun(X0, $o), $o, 
0.91/1.12	        app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.91/1.12	          'const/sets/IN'(X0), app_encode_app(sk_A0, X0, X1, sk_A31)), 
0.91/1.12	        app_encode_app(app_encode_fun(sk_A0, $o), app_encode_fun(X0, $o), 
0.91/1.12	          app_encode_app(app_encode_fun(sk_A0, X0), 
0.91/1.12	            app_encode_fun(app_encode_fun(sk_A0, $o), app_encode_fun(X0, $o)), 
0.91/1.12	            'const/sets/IMAGE'(sk_A0, X0), X1), sk_A2)),
0.91/1.12	    inference('simplify', [status(thm)], ['29'])).
0.91/1.12	tff('31', plain,
0.91/1.12	    (~ $true
0.91/1.12	     | app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	         app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))),
0.91/1.12	    inference('sup-', [status(thm)], ['30', '24'])).
0.91/1.12	tff('32', plain,
0.91/1.12	    app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	      app_encode_app(sk_A0, sk_A, sk_A1, sk_A31)),
0.91/1.12	    inference('simplify', [status(thm)], ['31'])).
0.91/1.12	tff('33', plain, (app_encode_app(sk_A, $o, sk_P, sk_A32) | ~ $true),
0.91/1.12	    inference('demod', [status(thm)], ['26', '32'])).
0.91/1.12	tff('34', plain, app_encode_app(sk_A, $o, sk_P, sk_A32),
0.91/1.12	    inference('simplify', [status(thm)], ['33'])).
0.91/1.12	tff('35', plain,
0.91/1.12	    (~ $true
0.91/1.12	     | ~ app_encode_app(sk_A, $o, sk_P, 
0.91/1.12	           app_encode_app(sk_A0, sk_A, sk_A1, sk_A31))),
0.91/1.12	    inference('sup-', [status(thm)], ['34', '20'])).
0.91/1.12	tff('36', plain, (~ $true | ~ $true),
0.91/1.12	    inference('demod', [status(thm)], ['35', '32'])).
0.91/1.12	tff('37', plain, $false, inference('simplify', [status(thm)], ['36'])).
0.91/1.12	
0.91/1.12	% SZS output end Refutation
0.91/1.12	EOF
