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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n029.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:28:54 CST 2018
0.00/0.33	% done 87 iterations in 0.128s
0.00/0.33	% SZS status Theorem for 'stdin'
0.00/0.33	% SZS output start Refutation
0.00/0.33	tff(zf_stmt_9, conjecture,
0.00/0.33	  (![A:$tType,A0:app_encode_fun(A,$o)]:
0.00/0.33	     (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.33	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.33	                                    app_encode_fun(app_encode_fun(A,$o),
0.00/0.33	                                                   app_encode_fun(A,$o)),
0.00/0.33	                                    'const/sets/INTER'(A),A0),
0.00/0.33	                     'const/sets/UNIV'(A)) =
0.00/0.33	      A0))).
0.00/0.33	tff(zf_stmt_0, negated_conjecture,
0.00/0.33	  (~
0.00/0.33	    (![A:$tType,A0:app_encode_fun(A,$o)]:
0.00/0.33	       (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.33	                       app_encode_app(app_encode_fun(A,$o),
0.00/0.33	                                      app_encode_fun(app_encode_fun(A,$o),
0.00/0.33	                                                     app_encode_fun(A,$o)),
0.00/0.33	                                      'const/sets/INTER'(A),A0),
0.00/0.33	                       'const/sets/UNIV'(A)) =
0.00/0.33	        A0)))).
0.00/0.33	tff('0', plain,
0.00/0.33	    app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.33	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.33	        app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
0.00/0.33	        'const/sets/INTER'(sk_A), sk_A0), 'const/sets/UNIV'(sk_A))
0.00/0.33	     != sk_A0,
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff(zf_stmt_8, axiom,
0.00/0.33	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.33	     ((A0 = A1) <=>
0.00/0.33	      (![A2:A]:
0.00/0.33	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                         app_encode_app(A,
0.00/0.33	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.33	                                                       $o),
0.00/0.33	                                        'const/sets/IN'(A),A2),
0.00/0.33	                         A0) <=>
0.00/0.33	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                         app_encode_app(A,
0.00/0.33	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.33	                                                       $o),
0.00/0.33	                                        'const/sets/IN'(A),A2),
0.00/0.33	                         A1)))))).
0.00/0.33	tff('1', plain,
0.00/0.33	    ![X11 : $tType, X14 : app_encode_fun(X11, $o), 
0.00/0.33	      X16 : app_encode_fun(X11, $o)]:
0.00/0.33	      (X14 = X16
0.00/0.33	       | app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.33	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
0.00/0.33	             'const/sets/IN'(X11), sk_A2(X11, X16, X14)), X16)
0.00/0.33	       | app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.33	           app_encode_app(X11, app_encode_fun(app_encode_fun(X11, $o), $o), 
0.00/0.33	             'const/sets/IN'(X11), sk_A2(X11, X16, X14)), X14)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.33	tff(zf_stmt_5, axiom,
0.00/0.33	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
0.00/0.33	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                     app_encode_app(A,
0.00/0.33	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.33	                                    'const/sets/IN'(A),A0),
0.00/0.33	                     P) <=>
0.00/0.33	      app_encode_app(A,$o,P,A0)))).
0.00/0.33	tff('2', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0]:
0.00/0.33	      (app_encode_app(X0, $o, X1, X2)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X2), X1)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.33	tff('3', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.33	       | X2 = X1
0.00/0.33	       | app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.33	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.33	tff('4', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.33	       | X2 = X1
0.00/0.33	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
0.00/0.33	    inference('simplify', [status(thm)], ['3'])).
0.00/0.33	tff(zf_stmt_6, axiom,
0.00/0.33	  (![A:$tType,A0:A]:
0.00/0.33	     app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                    app_encode_app(A,app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.33	                                   'const/sets/IN'(A),A0),
0.00/0.33	                    'const/sets/UNIV'(A)))).
0.00/0.33	tff('5', plain,
0.00/0.33	    ![X4 : $tType, X5 : X4]:
0.00/0.33	      app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.33	        app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.33	          'const/sets/IN'(X4), X5), 'const/sets/UNIV'(X4)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.33	tff(zf_stmt_7, axiom,
0.00/0.33	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),A2:A]:
0.00/0.33	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                     app_encode_app(A,
0.00/0.33	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.33	                                    'const/sets/IN'(A),A2),
0.00/0.33	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.33	                                    app_encode_fun(A,$o),
0.00/0.33	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.33	                                                   app_encode_fun(app_encode_fun(
0.00/0.33	                                                                  A,$o),
0.00/0.33	                                                                  app_encode_fun(
0.00/0.33	                                                                  A,$o)),
0.00/0.33	                                                   'const/sets/INTER'(A),A0),
0.00/0.33	                                    A1)) <=>
0.00/0.33	      (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                      app_encode_app(A,
0.00/0.33	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.33	                                     'const/sets/IN'(A),A2),
0.00/0.33	                      A0) & 
0.00/0.33	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.33	                      app_encode_app(A,
0.00/0.33	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.33	                                     'const/sets/IN'(A),A2),
0.00/0.33	                      A1))))).
0.00/0.33	tff('6', plain,
0.00/0.33	    ![X6 : $tType, X8 : app_encode_fun(X6, $o), X9 : app_encode_fun(X6, $o), 
0.00/0.33	      X10 : X6]:
0.00/0.33	      (app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.33	         app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.33	           'const/sets/IN'(X6), X10), 
0.00/0.33	         app_encode_app(app_encode_fun(X6, $o), app_encode_fun(X6, $o), 
0.00/0.33	           app_encode_app(app_encode_fun(X6, $o), 
0.00/0.33	             app_encode_fun(app_encode_fun(X6, $o), app_encode_fun(X6, $o)), 
0.00/0.33	             'const/sets/INTER'(X6), X8), X9))
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.33	             app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.33	               'const/sets/IN'(X6), X10), X9)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.33	             app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.33	               'const/sets/IN'(X6), X10), X8)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.33	      X3 : X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X3), X2)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X3), X1)
0.00/0.33	       | app_encode_app(X0, $o, 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	               'const/sets/INTER'(X0), X2), X1), X3)),
0.00/0.33	    inference('sup-', [status(thm)], ['6', '2'])).
0.00/0.33	tff('8', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.33	      X3 : X0]:
0.00/0.33	      (app_encode_app(X0, $o, 
0.00/0.33	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	             'const/sets/INTER'(X0), X2), X1), X3)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X3), X1)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X3), X2)),
0.00/0.33	    inference('simplify', [status(thm)], ['7'])).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X0 : $tType, X1 : X0, X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X1), X2)
0.00/0.33	       | app_encode_app(X0, $o, 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	               'const/sets/INTER'(X0), X2), 'const/sets/UNIV'(X0)), X1)),
0.00/0.33	    inference('sup-', [status(thm)], ['5', '8'])).
0.00/0.33	tff('10', plain,
0.00/0.33	    ![X0 : $tType, X1 : X0, X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (app_encode_app(X0, $o, 
0.00/0.33	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	             'const/sets/INTER'(X0), X2), 'const/sets/UNIV'(X0)), X1)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), X1), X2)),
0.00/0.33	    inference('simplify', [status(thm)], ['9'])).
0.00/0.33	tff('11', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | X1 = X2
0.00/0.33	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.33	       | app_encode_app(X0, $o, 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	               'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)), 
0.00/0.33	           sk_A2(X0, X2, X1))),
0.00/0.33	    inference('sup-', [status(thm)], ['4', '10'])).
0.00/0.33	tff('12', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (app_encode_app(X0, $o, 
0.00/0.33	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	             'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)), 
0.00/0.33	         sk_A2(X0, X2, X1))
0.00/0.33	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.33	       | X1 = X2),
0.00/0.33	    inference('simplify', [status(thm)], ['11'])).
0.00/0.33	tff('13', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))
0.00/0.33	       | app_encode_app(X0, $o, 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	               'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)), 
0.00/0.33	           sk_A2(X0, 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	               'const/sets/UNIV'(X0)), X1))),
0.00/0.33	    inference('eq_fact', [status(thm)], ['12'])).
0.00/0.33	tff('14', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (app_encode_app(X0, $o, 
0.00/0.33	         app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	             'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)), 
0.00/0.33	         sk_A2(X0, 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	               'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)), X1))
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))),
0.00/0.33	    inference('simplify', [status(thm)], ['13'])).
0.00/0.33	tff('15', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X3 : X0]:
0.00/0.33	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	           'const/sets/IN'(X0), X3), X1)
0.00/0.33	       | ~ app_encode_app(X0, $o, X1, X3)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.33	tff('16', plain,
0.00/0.33	    ![X6 : $tType, X7 : X6, X8 : app_encode_fun(X6, $o), 
0.00/0.33	      X9 : app_encode_fun(X6, $o)]:
0.00/0.33	      (app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.33	         app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.33	           'const/sets/IN'(X6), X7), X8)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X6, $o), $o, 
0.00/0.33	             app_encode_app(X6, app_encode_fun(app_encode_fun(X6, $o), $o), 
0.00/0.33	               'const/sets/IN'(X6), X7), 
0.00/0.33	             app_encode_app(app_encode_fun(X6, $o), app_encode_fun(X6, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X6, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X6, $o), 
0.00/0.33	                   app_encode_fun(X6, $o)), 'const/sets/INTER'(X6), X8), X9))),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.33	tff('17', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.33	      X3 : X0]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app(X0, $o, 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X2), X1), 
0.00/0.33	             X3)
0.00/0.33	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	             'const/sets/IN'(X0), X3), X2)),
0.00/0.33	    inference('sup-', [status(thm)], ['15', '16'])).
0.00/0.33	tff('18', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.33	      X3 : X0]:
0.00/0.33	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	           'const/sets/IN'(X0), X3), X2)
0.00/0.33	       | ~ app_encode_app(X0, $o, 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X2), X1), 
0.00/0.33	             X3)),
0.00/0.33	    inference('simplify', [status(thm)], ['17'])).
0.00/0.33	tff('19', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))
0.00/0.33	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	             'const/sets/IN'(X0), 
0.00/0.33	             sk_A2(X0, 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                     app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	                 'const/sets/UNIV'(X0)), X1)), X1)),
0.00/0.33	    inference('sup-', [status(thm)], ['14', '18'])).
0.00/0.33	tff('20', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	           'const/sets/IN'(X0), 
0.00/0.33	           sk_A2(X0, 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	               'const/sets/UNIV'(X0)), X1)), X1)
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))),
0.00/0.33	    inference('simplify', [status(thm)], ['19'])).
0.00/0.33	tff('21', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))
0.00/0.33	       | app_encode_app(X0, $o, X1, 
0.00/0.33	           sk_A2(X0, 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	               'const/sets/UNIV'(X0)), X1))),
0.00/0.33	    inference('sup-', [status(thm)], ['20', '2'])).
0.00/0.33	tff('22', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (app_encode_app(X0, $o, X1, 
0.00/0.33	         sk_A2(X0, 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	               'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)), X1))
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))),
0.00/0.33	    inference('simplify', [status(thm)], ['21'])).
0.00/0.33	tff('23', plain,
0.00/0.33	    ![X11 : $tType, X14 : app_encode_fun(X11, $o), 
0.00/0.33	      X16 : app_encode_fun(X11, $o)]:
0.00/0.33	      (X14 = X16
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.33	             app_encode_app(X11, 
0.00/0.33	               app_encode_fun(app_encode_fun(X11, $o), $o), 
0.00/0.33	               'const/sets/IN'(X11), sk_A2(X11, X16, X14)), X16)
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X11, $o), $o, 
0.00/0.33	             app_encode_app(X11, 
0.00/0.33	               app_encode_fun(app_encode_fun(X11, $o), $o), 
0.00/0.33	               'const/sets/IN'(X11), sk_A2(X11, X16, X14)), X14)),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.33	tff('24', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.33	       | X2 = X1),
0.00/0.33	    inference('sup-', [status(thm)], ['15', '23'])).
0.00/0.33	tff('25', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (X2 = X1
0.00/0.33	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.33	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.33	               'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.33	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.33	    inference('simplify', [status(thm)], ['24'])).
0.00/0.33	tff('26', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))
0.00/0.33	       | ~ app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.33	       | X1 = X2),
0.00/0.33	    inference('sup-', [status(thm)], ['15', '25'])).
0.00/0.33	tff('27', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.33	      (X1 = X2
0.00/0.33	       | ~ app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.33	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))),
0.00/0.33	    inference('simplify', [status(thm)], ['26'])).
0.00/0.33	tff('28', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ $true
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))
0.00/0.33	       | ~ app_encode_app(X0, $o, X1, 
0.00/0.33	             sk_A2(X0, 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                     app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	                 'const/sets/UNIV'(X0)), X1))
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))),
0.00/0.33	    inference('sup-', [status(thm)], ['14', '27'])).
0.00/0.33	tff('29', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      (~ app_encode_app(X0, $o, X1, 
0.00/0.33	           sk_A2(X0, 
0.00/0.33	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                   app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	               'const/sets/UNIV'(X0)), X1))
0.00/0.33	       | X1
0.00/0.33	          = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	              app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	                app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.33	                  app_encode_fun(X0, $o)), 'const/sets/INTER'(X0), X1), 
0.00/0.33	              'const/sets/UNIV'(X0))),
0.00/0.33	    inference('simplify', [status(thm)], ['28'])).
0.00/0.33	tff('30', plain,
0.00/0.33	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.33	      X1
0.00/0.33	       = app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.33	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.33	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.33	             'const/sets/INTER'(X0), X1), 'const/sets/UNIV'(X0)),
0.00/0.33	    inference('clc', [status(thm)], ['22', '29'])).
0.00/0.33	tff('31', plain, sk_A0 != sk_A0,
0.00/0.33	    inference('demod', [status(thm)], ['0', '30'])).
0.00/0.33	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
0.00/0.33	
0.00/0.33	% SZS output end Refutation
0.00/0.33	EOF
