0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n148.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:27:08 CST 2018
0.00/0.53	% done 111 iterations in 0.325s
0.00/0.53	% SZS status Theorem for 'stdin'
0.00/0.53	% SZS output start Refutation
0.00/0.53	tff(zf_stmt_7, conjecture,
0.00/0.53	  (![A:$tType,A0:app_encode_fun(A,$o)]:
0.00/0.53	     (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.53	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.53	                                    app_encode_fun(app_encode_fun(A,$o),
0.00/0.53	                                                   app_encode_fun(A,$o)),
0.00/0.53	                                    'const/sets/UNION'(A),A0),
0.00/0.53	                     A0) =
0.00/0.53	      A0))).
0.00/0.53	tff(zf_stmt_0, negated_conjecture,
0.00/0.53	  (~
0.00/0.53	    (![A:$tType,A0:app_encode_fun(A,$o)]:
0.00/0.53	       (app_encode_app(app_encode_fun(A,$o),app_encode_fun(A,$o),
0.00/0.53	                       app_encode_app(app_encode_fun(A,$o),
0.00/0.53	                                      app_encode_fun(app_encode_fun(A,$o),
0.00/0.53	                                                     app_encode_fun(A,$o)),
0.00/0.53	                                      'const/sets/UNION'(A),A0),
0.00/0.53	                       A0) =
0.00/0.53	        A0)))).
0.00/0.53	tff('0', plain,
0.00/0.53	    app_encode_app(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o), 
0.00/0.53	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.53	        app_encode_fun(app_encode_fun(sk_A, $o), app_encode_fun(sk_A, $o)), 
0.00/0.53	        'const/sets/UNION'(sk_A), sk_A0), sk_A0)
0.00/0.53	     != sk_A0,
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.53	tff(zf_stmt_4, axiom,
0.00/0.53	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
0.00/0.53	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.53	                     app_encode_app(A,
0.00/0.53	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.53	                                    'const/sets/IN'(A),A0),
0.00/0.53	                     P) <=>
0.00/0.53	      app_encode_app(A,$o,P,A0)))).
0.00/0.53	tff('1', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X3 : X0]:
0.00/0.53	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	           'const/sets/IN'(X0), X3), X1)
0.00/0.53	       | ~ app_encode_app(X0, $o, X1, X3)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.53	tff(zf_stmt_6, axiom,
0.00/0.53	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.53	     ((A0 = A1) <=>
0.00/0.53	      (![A2:A]:
0.00/0.53	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.53	                         app_encode_app(A,
0.00/0.53	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.53	                                                       $o),
0.00/0.53	                                        'const/sets/IN'(A),A2),
0.00/0.53	                         A0) <=>
0.00/0.53	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.53	                         app_encode_app(A,
0.00/0.53	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.53	                                                       $o),
0.00/0.53	                                        'const/sets/IN'(A),A2),
0.00/0.53	                         A1)))))).
0.00/0.53	tff('2', plain,
0.00/0.53	    ![X9 : $tType, X12 : app_encode_fun(X9, $o), X14 : app_encode_fun(X9, $o)]:
0.00/0.53	      (X12 = X14
0.00/0.53	       | app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.53	           app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.53	             'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X14)
0.00/0.53	       | app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.53	           app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.53	             'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X12)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.53	tff('3', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0]:
0.00/0.53	      (app_encode_app(X0, $o, X1, X2)
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	               'const/sets/IN'(X0), X2), X1)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.00/0.53	tff('4', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.53	       | X2 = X1
0.00/0.53	       | app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.53	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.53	tff('5', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.53	       | X2 = X1
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
0.00/0.53	    inference('simplify', [status(thm)], ['4'])).
0.00/0.53	tff(zf_stmt_5, axiom,
0.00/0.53	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),A2:A]:
0.00/0.53	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.53	                     app_encode_app(A,
0.00/0.53	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.53	                                    'const/sets/IN'(A),A2),
0.00/0.53	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.53	                                    app_encode_fun(A,$o),
0.00/0.53	                                    app_encode_app(app_encode_fun(A,$o),
0.00/0.53	                                                   app_encode_fun(app_encode_fun(
0.00/0.53	                                                                  A,$o),
0.00/0.53	                                                                  app_encode_fun(
0.00/0.53	                                                                  A,$o)),
0.00/0.53	                                                   'const/sets/UNION'(A),A0),
0.00/0.53	                                    A1)) <=>
0.00/0.53	      (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.53	                      app_encode_app(A,
0.00/0.53	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.53	                                     'const/sets/IN'(A),A2),
0.00/0.53	                      A0) | 
0.00/0.53	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.53	                      app_encode_app(A,
0.00/0.53	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.53	                                     'const/sets/IN'(A),A2),
0.00/0.53	                      A1))))).
0.00/0.53	tff('6', plain,
0.00/0.53	    ![X4 : $tType, X5 : X4, X6 : app_encode_fun(X4, $o), 
0.00/0.53	      X7 : app_encode_fun(X4, $o)]:
0.00/0.53	      (app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.53	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.53	           'const/sets/IN'(X4), X5), X6)
0.00/0.53	       | app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.53	           app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.53	             'const/sets/IN'(X4), X5), X7)
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.53	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.53	               'const/sets/IN'(X4), X5), 
0.00/0.53	             app_encode_app(app_encode_fun(X4, $o), app_encode_fun(X4, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X4, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X4, $o), 
0.00/0.53	                   app_encode_fun(X4, $o)), 'const/sets/UNION'(X4), X7), X6))),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.53	tff('7', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.53	      X3 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X2), X1)
0.00/0.53	          = X3
0.00/0.53	       | app_encode_app(X0, $o, X3, 
0.00/0.53	           sk_A2(X0, X3, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), 
0.00/0.53	             sk_A2(X0, X3, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                 X1))), X2)
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), 
0.00/0.53	             sk_A2(X0, X3, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                 X1))), X1)),
0.00/0.53	    inference('sup-', [status(thm)], ['5', '6'])).
0.00/0.53	tff('8', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.53	      X3 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	           'const/sets/IN'(X0), 
0.00/0.53	           sk_A2(X0, X3, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1))), 
0.00/0.53	         X1)
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), 
0.00/0.53	             sk_A2(X0, X3, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                 X1))), X2)
0.00/0.53	       | app_encode_app(X0, $o, X3, 
0.00/0.53	           sk_A2(X0, X3, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X2), X1)
0.00/0.53	          = X3),
0.00/0.53	    inference('simplify', [status(thm)], ['7'])).
0.00/0.53	tff('9', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X2
0.00/0.53	       | app_encode_app(X0, $o, X2, 
0.00/0.53	           sk_A2(X0, X2, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), 
0.00/0.53	             sk_A2(X0, X2, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
0.00/0.53	                 X1))), X1)),
0.00/0.53	    inference('eq_fact', [status(thm)], ['8'])).
0.00/0.53	tff('10', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	           'const/sets/IN'(X0), 
0.00/0.53	           sk_A2(X0, X2, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1))), 
0.00/0.53	         X1)
0.00/0.53	       | app_encode_app(X0, $o, X2, 
0.00/0.53	           sk_A2(X0, X2, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X2),
0.00/0.53	    inference('simplify', [status(thm)], ['9'])).
0.00/0.53	tff('11', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X2
0.00/0.53	       | app_encode_app(X0, $o, X2, 
0.00/0.53	           sk_A2(X0, X2, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)))
0.00/0.53	       | app_encode_app(X0, $o, X1, 
0.00/0.53	           sk_A2(X0, X2, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)))),
0.00/0.53	    inference('sup-', [status(thm)], ['10', '3'])).
0.00/0.53	tff('12', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(X0, $o, X1, 
0.00/0.53	         sk_A2(X0, X2, 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	               'const/sets/UNION'(X0), X1), X1)))
0.00/0.53	       | app_encode_app(X0, $o, X2, 
0.00/0.53	           sk_A2(X0, X2, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X2),
0.00/0.53	    inference('simplify', [status(thm)], ['11'])).
0.00/0.53	tff('13', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X1
0.00/0.53	       | app_encode_app(X0, $o, X1, 
0.00/0.53	           sk_A2(X0, X1, 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), X1)))),
0.00/0.53	    inference('eq_fact', [status(thm)], ['12'])).
0.00/0.53	tff('14', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(X0, $o, X1, 
0.00/0.53	         sk_A2(X0, X1, 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	               app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	               'const/sets/UNION'(X0), X1), X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X1),
0.00/0.53	    inference('simplify', [status(thm)], ['13'])).
0.00/0.53	tff('15', plain,
0.00/0.53	    ![X4 : $tType, X6 : app_encode_fun(X4, $o), X7 : app_encode_fun(X4, $o), 
0.00/0.53	      X8 : X4]:
0.00/0.53	      (app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.53	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.53	           'const/sets/IN'(X4), X8), 
0.00/0.53	         app_encode_app(app_encode_fun(X4, $o), app_encode_fun(X4, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X4, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X4, $o), app_encode_fun(X4, $o)), 
0.00/0.53	             'const/sets/UNION'(X4), X7), X6))
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.53	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.53	               'const/sets/IN'(X4), X8), X7)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.53	tff('16', plain,
0.00/0.53	    ![X9 : $tType, X12 : app_encode_fun(X9, $o), X14 : app_encode_fun(X9, $o)]:
0.00/0.53	      (X12 = X14
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.53	             app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.53	               'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X14)
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X9, $o), $o, 
0.00/0.53	             app_encode_app(X9, app_encode_fun(app_encode_fun(X9, $o), $o), 
0.00/0.53	               'const/sets/IN'(X9), sk_A2(X9, X14, X12)), X12)),
0.00/0.53	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.53	tff('17', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	               'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.53	       | X2 = X1),
0.00/0.53	    inference('sup-', [status(thm)], ['1', '16'])).
0.00/0.53	tff('18', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.53	      (X2 = X1
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	               'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.53	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.53	    inference('simplify', [status(thm)], ['17'])).
0.00/0.53	tff('19', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.53	      X3 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	               'const/sets/IN'(X0), 
0.00/0.53	               sk_A2(X0, X3, 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                       app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                   X1))), X2)
0.00/0.53	       | ~ app_encode_app(X0, $o, X3, 
0.00/0.53	             sk_A2(X0, X3, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                 X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X2), X1)
0.00/0.53	          = X3),
0.00/0.53	    inference('sup-', [status(thm)], ['15', '18'])).
0.00/0.53	tff('20', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o), 
0.00/0.53	      X3 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	         app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	           'const/sets/UNION'(X0), X2), X1)
0.00/0.53	        = X3
0.00/0.53	       | ~ app_encode_app(X0, $o, X3, 
0.00/0.53	             sk_A2(X0, X3, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                 X1)))
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	               'const/sets/IN'(X0), 
0.00/0.53	               sk_A2(X0, X3, 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                       app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X2), 
0.00/0.53	                   X1))), X2)),
0.00/0.53	    inference('simplify', [status(thm)], ['19'])).
0.00/0.53	tff('21', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X1
0.00/0.53	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	               'const/sets/IN'(X0), 
0.00/0.53	               sk_A2(X0, X1, 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                       app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
0.00/0.53	                   X1))), X1)
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X1),
0.00/0.53	    inference('sup-', [status(thm)], ['14', '20'])).
0.00/0.53	tff('22', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.53	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.53	             'const/sets/IN'(X0), 
0.00/0.53	             sk_A2(X0, X1, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
0.00/0.53	                 X1))), X1)
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X1),
0.00/0.53	    inference('simplify', [status(thm)], ['21'])).
0.00/0.53	tff('23', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      (~ $true
0.00/0.53	       | ~ app_encode_app(X0, $o, X1, 
0.00/0.53	             sk_A2(X0, X1, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
0.00/0.53	                 X1)))
0.00/0.53	       | app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	             app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	             'const/sets/UNION'(X0), X1), X1)
0.00/0.53	          = X1),
0.00/0.53	    inference('sup-', [status(thm)], ['1', '22'])).
0.00/0.53	tff('24', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      (app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	         app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	           app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	           'const/sets/UNION'(X0), X1), X1)
0.00/0.53	        = X1
0.00/0.53	       | ~ app_encode_app(X0, $o, X1, 
0.00/0.53	             sk_A2(X0, X1, 
0.00/0.53	               app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_fun(X0, $o), 
0.00/0.53	                 app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	                   app_encode_fun(app_encode_fun(X0, $o), 
0.00/0.53	                     app_encode_fun(X0, $o)), 'const/sets/UNION'(X0), X1), 
0.00/0.53	                 X1)))),
0.00/0.53	    inference('simplify', [status(thm)], ['23'])).
0.00/0.53	tff('25', plain,
0.00/0.53	    ![X0 : $tType, X1 : app_encode_fun(X0, $o)]:
0.00/0.53	      app_encode_app(app_encode_fun(X0, $o), app_encode_fun(X0, $o), 
0.00/0.53	        app_encode_app(app_encode_fun(X0, $o), 
0.00/0.53	          app_encode_fun(app_encode_fun(X0, $o), app_encode_fun(X0, $o)), 
0.00/0.53	          'const/sets/UNION'(X0), X1), X1)
0.00/0.53	       = X1,
0.00/0.53	    inference('clc', [status(thm)], ['24', '14'])).
0.00/0.53	tff('26', plain, sk_A0 != sk_A0,
0.00/0.53	    inference('demod', [status(thm)], ['0', '25'])).
0.00/0.53	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
0.00/0.53	
0.00/0.53	% SZS output end Refutation
0.00/0.53	EOF
