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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n066.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 18:27:09 CST 2018
0.00/0.26	% done 67 iterations in 0.067s
0.00/0.26	% SZS status Theorem for 'stdin'
0.00/0.26	% SZS output start Refutation
0.00/0.27	tff(zf_stmt_9, conjecture,
0.00/0.27	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.27	     A2:app_encode_fun(A,$o)]:
0.00/0.27	     ((app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                     'const/sets/PSUBSET'(A),A0),
0.00/0.27	                      A1) & 
0.00/0.27	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                     'const/sets/SUBSET'(A),A1),
0.00/0.27	                      A2)) =>
0.00/0.27	      app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                    'const/sets/PSUBSET'(A),A0),
0.00/0.27	                     A2)))).
0.00/0.27	tff(zf_stmt_0, negated_conjecture,
0.00/0.27	  (~
0.00/0.27	    (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.27	       A2:app_encode_fun(A,$o)]:
0.00/0.27	       ((app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                       'const/sets/PSUBSET'(A),A0),
0.00/0.27	                        A1) & 
0.00/0.27	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                       'const/sets/SUBSET'(A),A1),
0.00/0.27	                        A2)) =>
0.00/0.27	        app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                       app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                      app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                      'const/sets/PSUBSET'(A),A0),
0.00/0.27	                       A2))))).
0.00/0.27	tff('0', plain,
0.00/0.27	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	        'const/sets/PSUBSET'(sk_A), sk_A0), sk_A1),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff(zf_stmt_6, axiom,
0.00/0.27	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.27	     ((A0 = A1) <=>
0.00/0.27	      (![A2:A]:
0.00/0.27	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                         app_encode_app(A,
0.00/0.27	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.27	                                                       $o),
0.00/0.27	                                        'const/sets/IN'(A),A2),
0.00/0.27	                         A0) <=>
0.00/0.27	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                         app_encode_app(A,
0.00/0.27	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.27	                                                       $o),
0.00/0.27	                                        'const/sets/IN'(A),A2),
0.00/0.27	                         A1)))))).
0.00/0.27	tff('1', plain,
0.00/0.27	    ![X4 : $tType, X7 : app_encode_fun(X4, $o), X9 : app_encode_fun(X4, $o)]:
0.00/0.27	      (X7 = X9
0.00/0.27	       | app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.27	           app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.27	             'const/sets/IN'(X4), sk_A2(X4, X9, X7)), X9)
0.00/0.27	       | app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.27	           app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.27	             'const/sets/IN'(X4), sk_A2(X4, X9, X7)), X7)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.27	tff(zf_stmt_5, axiom,
0.00/0.27	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
0.00/0.27	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                     app_encode_app(A,
0.00/0.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                    'const/sets/IN'(A),A0),
0.00/0.27	                     P) <=>
0.00/0.27	      app_encode_app(A,$o,P,A0)))).
0.00/0.27	tff('2', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0]:
0.00/0.27	      (app_encode_app(X0, $o, X1, X2)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	               'const/sets/IN'(X0), X2), X1)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.27	tff('3', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.27	       | X2 = X1
0.00/0.27	       | app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.27	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.27	tff('4', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.27	       | X2 = X1
0.00/0.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
0.00/0.27	    inference('simplify', [status(thm)], ['3'])).
0.00/0.27	tff('5', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | X1 = X2
0.00/0.27	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.27	       | app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))),
0.00/0.27	    inference('sup-', [status(thm)], ['4', '2'])).
0.00/0.27	tff('6', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))
0.00/0.27	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.27	       | X1 = X2),
0.00/0.27	    inference('simplify', [status(thm)], ['5'])).
0.00/0.27	tff('7', plain,
0.00/0.27	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	        'const/sets/SUBSET'(sk_A), sk_A1), sk_A22),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('8', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X3 : X0]:
0.00/0.27	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	           'const/sets/IN'(X0), X3), X1)
0.00/0.27	       | ~ app_encode_app(X0, $o, X1, X3)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_5])).
0.00/0.27	tff(zf_stmt_7, axiom,
0.00/0.27	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.27	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                    'const/sets/SUBSET'(A),A0),
0.00/0.27	                     A1) <=>
0.00/0.27	      (![A2:A]:
0.00/0.27	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                         app_encode_app(A,
0.00/0.27	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.27	                                                       $o),
0.00/0.27	                                        'const/sets/IN'(A),A2),
0.00/0.27	                         A0) =>
0.00/0.27	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                         app_encode_app(A,
0.00/0.27	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.27	                                                       $o),
0.00/0.27	                                        'const/sets/IN'(A),A2),
0.00/0.27	                         A1)))))).
0.00/0.27	tff('9', plain,
0.00/0.27	    ![X10 : $tType, X11 : X10, X12 : app_encode_fun(X10, $o), 
0.00/0.27	      X13 : app_encode_fun(X10, $o)]:
0.00/0.27	      (~ app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	           app_encode_app(X10, app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	             'const/sets/IN'(X10), X11), X12)
0.00/0.27	       | app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	           app_encode_app(X10, app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	             'const/sets/IN'(X10), X11), X13)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X10, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	               'const/sets/SUBSET'(X10), X12), X13)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.27	tff('10', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, 
0.00/0.27	      X3 : app_encode_fun(X0, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(X0, $o, X1, X2)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	               'const/sets/SUBSET'(X0), X1), X3)
0.00/0.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	             'const/sets/IN'(X0), X2), X3)),
0.00/0.27	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.27	tff('11', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, 
0.00/0.27	      X3 : app_encode_fun(X0, $o)]:
0.00/0.27	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	           'const/sets/IN'(X0), X2), X3)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	               'const/sets/SUBSET'(X0), X1), X3)
0.00/0.27	       | ~ app_encode_app(X0, $o, X1, X2)),
0.00/0.27	    inference('simplify', [status(thm)], ['10'])).
0.00/0.27	tff('12', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.27	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	           app_encode_app(sk_A, 
0.00/0.27	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	             'const/sets/IN'(sk_A), X0), sk_A22)),
0.00/0.27	    inference('sup-', [status(thm)], ['7', '11'])).
0.00/0.27	tff('13', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	           'const/sets/IN'(sk_A), X0), sk_A22)
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['12'])).
0.00/0.27	tff('14', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.27	       | app_encode_app(sk_A, $o, sk_A22, X0)),
0.00/0.27	    inference('sup-', [status(thm)], ['13', '2'])).
0.00/0.27	tff('15', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (app_encode_app(sk_A, $o, sk_A22, X0)
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['14'])).
0.00/0.27	tff(zf_stmt_8, axiom,
0.00/0.27	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.27	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                    'const/sets/PSUBSET'(A),A0),
0.00/0.27	                     A1) <=>
0.00/0.27	      (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.27	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.27	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.27	                                     'const/sets/SUBSET'(A),A0),
0.00/0.27	                      A1) & 
0.00/0.27	       (A0 != A1))))).
0.00/0.27	tff('16', plain,
0.00/0.27	    ![X15 : $tType, X16 : app_encode_fun(X15, $o), 
0.00/0.27	      X17 : app_encode_fun(X15, $o)]:
0.00/0.27	      (app_encode_app(app_encode_fun(X15, $o), $o, 
0.00/0.27	         app_encode_app(app_encode_fun(X15, $o), 
0.00/0.27	           app_encode_fun(app_encode_fun(X15, $o), $o), 
0.00/0.27	           'const/sets/SUBSET'(X15), X16), X17)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X15, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X15, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X15, $o), $o), 
0.00/0.27	               'const/sets/PSUBSET'(X15), X16), X17)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.27	tff('17', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A1)),
0.00/0.27	    inference('sup-', [status(thm)], ['0', '16'])).
0.00/0.27	tff('18', plain,
0.00/0.27	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	        'const/sets/SUBSET'(sk_A), sk_A0), sk_A1),
0.00/0.27	    inference('simplify', [status(thm)], ['17'])).
0.00/0.27	tff('19', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)
0.00/0.27	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	           app_encode_app(sk_A, 
0.00/0.27	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	             'const/sets/IN'(sk_A), X0), sk_A1)),
0.00/0.27	    inference('sup-', [status(thm)], ['18', '11'])).
0.00/0.27	tff('20', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	           'const/sets/IN'(sk_A), X0), sk_A1)
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['19'])).
0.00/0.27	tff('21', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)
0.00/0.27	       | app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.27	    inference('sup-', [status(thm)], ['20', '2'])).
0.00/0.27	tff('22', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['21'])).
0.00/0.27	tff('23', plain,
0.00/0.27	    ![X10 : $tType, X12 : app_encode_fun(X10, $o), 
0.00/0.27	      X14 : app_encode_fun(X10, $o)]:
0.00/0.27	      (app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	         app_encode_app(app_encode_fun(X10, $o), 
0.00/0.27	           app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	           'const/sets/SUBSET'(X10), X12), X14)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	             app_encode_app(X10, 
0.00/0.27	               app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	               'const/sets/IN'(X10), sk_A21(X10, X14, X12)), X14)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.27	tff('24', plain,
0.00/0.27	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21(sk_A, sk_A22, X0))
0.00/0.27	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	             'const/sets/SUBSET'(sk_A), X0), sk_A22)),
0.00/0.27	    inference('sup-', [status(thm)], ['13', '23'])).
0.00/0.27	tff('25', plain,
0.00/0.27	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.27	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	           'const/sets/SUBSET'(sk_A), X0), sk_A22)
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21(sk_A, sk_A22, X0))),
0.00/0.27	    inference('simplify', [status(thm)], ['24'])).
0.00/0.27	tff('26', plain,
0.00/0.27	    ![X15 : $tType, X16 : app_encode_fun(X15, $o), 
0.00/0.27	      X18 : app_encode_fun(X15, $o)]:
0.00/0.27	      (app_encode_app(app_encode_fun(X15, $o), $o, 
0.00/0.27	         app_encode_app(app_encode_fun(X15, $o), 
0.00/0.27	           app_encode_fun(app_encode_fun(X15, $o), $o), 
0.00/0.27	           'const/sets/PSUBSET'(X15), X16), X18)
0.00/0.27	       | X16 = X18
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X15, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X15, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X15, $o), $o), 
0.00/0.27	               'const/sets/SUBSET'(X15), X16), X18)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.27	tff('27', plain,
0.00/0.27	    ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	        app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	          app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	          'const/sets/PSUBSET'(sk_A), sk_A0), sk_A22),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff('28', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	             'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)
0.00/0.27	     | sk_A0 = sk_A22),
0.00/0.27	    inference('sup-', [status(thm)], ['26', '27'])).
0.00/0.27	tff('29', plain,
0.00/0.27	    (sk_A0 = sk_A22
0.00/0.27	     | ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	             'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)),
0.00/0.27	    inference('simplify', [status(thm)], ['28'])).
0.00/0.27	tff('30', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21(sk_A, sk_A22, sk_A0))
0.00/0.27	     | sk_A0 = sk_A22),
0.00/0.27	    inference('sup-', [status(thm)], ['25', '29'])).
0.00/0.27	tff('31', plain,
0.00/0.27	    (sk_A0 = sk_A22
0.00/0.27	     | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21(sk_A, sk_A22, sk_A0))),
0.00/0.27	    inference('simplify', [status(thm)], ['30'])).
0.00/0.27	tff('32', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21(sk_A, sk_A22, sk_A0))
0.00/0.27	     | sk_A0 = sk_A22),
0.00/0.27	    inference('sup-', [status(thm)], ['22', '31'])).
0.00/0.27	tff('33', plain,
0.00/0.27	    (sk_A0 = sk_A22
0.00/0.27	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21(sk_A, sk_A22, sk_A0))),
0.00/0.27	    inference('simplify', [status(thm)], ['32'])).
0.00/0.27	tff('34', plain,
0.00/0.27	    ![X10 : $tType, X12 : app_encode_fun(X10, $o), 
0.00/0.27	      X14 : app_encode_fun(X10, $o)]:
0.00/0.27	      (app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	         app_encode_app(app_encode_fun(X10, $o), 
0.00/0.27	           app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	           'const/sets/SUBSET'(X10), X12), X14)
0.00/0.27	       | app_encode_app(app_encode_fun(X10, $o), $o, 
0.00/0.27	           app_encode_app(X10, app_encode_fun(app_encode_fun(X10, $o), $o), 
0.00/0.27	             'const/sets/IN'(X10), sk_A21(X10, X14, X12)), X12)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.27	tff('35', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.27	             app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	             'const/sets/SUBSET'(X0), X1), X2)
0.00/0.27	       | app_encode_app(X0, $o, X1, sk_A21(X0, X2, X1))),
0.00/0.27	    inference('sup-', [status(thm)], ['34', '2'])).
0.00/0.27	tff('36', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (app_encode_app(X0, $o, X1, sk_A21(X0, X2, X1))
0.00/0.27	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.27	             app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	             'const/sets/SUBSET'(X0), X1), X2)),
0.00/0.27	    inference('simplify', [status(thm)], ['35'])).
0.00/0.27	tff('37', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | app_encode_app(sk_A, $o, sk_A0, sk_A21(sk_A, sk_A22, sk_A0))
0.00/0.27	     | sk_A0 = sk_A22),
0.00/0.27	    inference('sup-', [status(thm)], ['36', '29'])).
0.00/0.27	tff('38', plain,
0.00/0.27	    (sk_A0 = sk_A22
0.00/0.27	     | app_encode_app(sk_A, $o, sk_A0, sk_A21(sk_A, sk_A22, sk_A0))),
0.00/0.27	    inference('simplify', [status(thm)], ['37'])).
0.00/0.27	tff('39', plain, sk_A0 = sk_A22,
0.00/0.27	    inference('clc', [status(thm)], ['33', '38'])).
0.00/0.27	tff('40', plain,
0.00/0.27	    ![X0 : sk_A]:
0.00/0.27	      (app_encode_app(sk_A, $o, sk_A0, X0)
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.27	    inference('demod', [status(thm)], ['15', '39'])).
0.00/0.27	tff('41', plain,
0.00/0.27	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | sk_A1 = X0
0.00/0.27	       | app_encode_app(sk_A, $o, X0, sk_A2(sk_A, X0, sk_A1))
0.00/0.27	       | app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, X0, sk_A1))),
0.00/0.27	    inference('sup-', [status(thm)], ['6', '40'])).
0.00/0.27	tff('42', plain,
0.00/0.27	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.27	      (app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, X0, sk_A1))
0.00/0.27	       | app_encode_app(sk_A, $o, X0, sk_A2(sk_A, X0, sk_A1))
0.00/0.27	       | sk_A1 = X0),
0.00/0.27	    inference('simplify', [status(thm)], ['41'])).
0.00/0.27	tff('43', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | sk_A1 = sk_A0
0.00/0.27	     | app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))),
0.00/0.27	    inference('eq_fact', [status(thm)], ['42'])).
0.00/0.27	tff('44', plain,
0.00/0.27	    (app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.27	     | sk_A1 = sk_A0),
0.00/0.27	    inference('simplify', [status(thm)], ['43'])).
0.00/0.27	tff('45', plain,
0.00/0.27	    ![X4 : $tType, X7 : app_encode_fun(X4, $o), X9 : app_encode_fun(X4, $o)]:
0.00/0.27	      (X7 = X9
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.27	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.27	               'const/sets/IN'(X4), sk_A2(X4, X9, X7)), X9)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.27	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.27	               'const/sets/IN'(X4), sk_A2(X4, X9, X7)), X7)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.27	tff('46', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	               'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.27	       | X2 = X1),
0.00/0.27	    inference('sup-', [status(thm)], ['8', '45'])).
0.00/0.27	tff('47', plain,
0.00/0.27	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.27	      (X2 = X1
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.27	             app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.27	               'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.27	       | ~ app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.27	    inference('simplify', [status(thm)], ['46'])).
0.00/0.27	tff('48', plain,
0.00/0.27	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, X0, sk_A1))
0.00/0.27	       | ~ app_encode_app(sk_A, $o, X0, sk_A2(sk_A, X0, sk_A1))
0.00/0.27	       | sk_A1 = X0),
0.00/0.27	    inference('sup-', [status(thm)], ['20', '47'])).
0.00/0.27	tff('49', plain,
0.00/0.27	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.27	      (sk_A1 = X0
0.00/0.27	       | ~ app_encode_app(sk_A, $o, X0, sk_A2(sk_A, X0, sk_A1))
0.00/0.27	       | ~ app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, X0, sk_A1))),
0.00/0.27	    inference('simplify', [status(thm)], ['48'])).
0.00/0.27	tff('50', plain,
0.00/0.27	    (~ $true
0.00/0.27	     | sk_A1 = sk_A0
0.00/0.27	     | ~ app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.27	     | sk_A1 = sk_A0),
0.00/0.27	    inference('sup-', [status(thm)], ['44', '49'])).
0.00/0.27	tff('51', plain,
0.00/0.27	    (~ app_encode_app(sk_A, $o, sk_A0, sk_A2(sk_A, sk_A0, sk_A1))
0.00/0.27	     | sk_A1 = sk_A0),
0.00/0.27	    inference('simplify', [status(thm)], ['50'])).
0.00/0.27	tff('52', plain, sk_A1 = sk_A0, inference('clc', [status(thm)], ['51', '44'])).
0.00/0.27	tff('53', plain,
0.00/0.27	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.27	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.27	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.27	        'const/sets/PSUBSET'(sk_A), sk_A0), sk_A0),
0.00/0.27	    inference('demod', [status(thm)], ['0', '52'])).
0.00/0.27	tff('54', plain,
0.00/0.27	    ![X15 : $tType, X16 : app_encode_fun(X15, $o), 
0.00/0.27	      X17 : app_encode_fun(X15, $o)]:
0.00/0.27	      (X16 != X17
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X15, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X15, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X15, $o), $o), 
0.00/0.27	               'const/sets/PSUBSET'(X15), X16), X17)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.27	tff('55', plain,
0.00/0.27	    ![X15 : $tType, X17 : app_encode_fun(X15, $o)]:
0.00/0.27	      ~ app_encode_app(app_encode_fun(X15, $o), $o, 
0.00/0.27	          app_encode_app(app_encode_fun(X15, $o), 
0.00/0.27	            app_encode_fun(app_encode_fun(X15, $o), $o), 
0.00/0.27	            'const/sets/PSUBSET'(X15), X17), X17),
0.00/0.27	    inference('simplify', [status(thm)], ['54'])).
0.00/0.27	tff('56', plain, ~ $true, inference('sup-', [status(thm)], ['53', '55'])).
0.00/0.27	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
