0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n110.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:27:09 CST 2018
0.00/0.26	% done 74 iterations in 0.053s
0.00/0.26	% SZS status Theorem for 'stdin'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff(zf_stmt_10, conjecture,
0.00/0.26	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.26	     A2:app_encode_fun(A,$o)]:
0.00/0.26	     ((app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                     'const/sets/PSUBSET'(A),A0),
0.00/0.26	                      A1) & 
0.00/0.26	       app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                     'const/sets/SUBSET'(A),A1),
0.00/0.26	                      A2)) =>
0.00/0.26	      app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                    'const/sets/PSUBSET'(A),A0),
0.00/0.26	                     A2)))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o),
0.00/0.26	       A2:app_encode_fun(A,$o)]:
0.00/0.26	       ((app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                       'const/sets/PSUBSET'(A),A0),
0.00/0.26	                        A1) & 
0.00/0.26	         app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                        app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                       app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                       'const/sets/SUBSET'(A),A1),
0.00/0.26	                        A2)) =>
0.00/0.26	        app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                       app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                      app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                      'const/sets/PSUBSET'(A),A0),
0.00/0.26	                       A2))))).
0.00/0.26	tff('0', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	        'const/sets/PSUBSET'(sk_A), sk_A0), sk_A1),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff(zf_stmt_7, axiom,
0.00/0.26	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.26	     ((A0 = A1) <=>
0.00/0.26	      (![A2:A]:
0.00/0.26	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                         app_encode_app(A,
0.00/0.26	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.26	                                                       $o),
0.00/0.26	                                        'const/sets/IN'(A),A2),
0.00/0.26	                         A0) <=>
0.00/0.26	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                         app_encode_app(A,
0.00/0.26	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.26	                                                       $o),
0.00/0.26	                                        'const/sets/IN'(A),A2),
0.00/0.26	                         A1)))))).
0.00/0.26	tff('1', plain,
0.00/0.26	    ![X8 : $tType, X11 : app_encode_fun(X8, $o), X13 : app_encode_fun(X8, $o)]:
0.00/0.26	      (X11 = X13
0.00/0.26	       | app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.26	           app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.26	             'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X13)
0.00/0.26	       | app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.26	           app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.26	             'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X11)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.26	tff(zf_stmt_6, axiom,
0.00/0.26	  (![A:$tType,P:app_encode_fun(A,$o),A0:A]:
0.00/0.26	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                     app_encode_app(A,
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                    'const/sets/IN'(A),A0),
0.00/0.26	                     P) <=>
0.00/0.26	      app_encode_app(A,$o,P,A0)))).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X6 : X4]:
0.00/0.26	      (app_encode_app(X4, $o, X5, X6)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.26	             app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.26	               'const/sets/IN'(X4), X6), X5)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)
0.00/0.26	       | X2 = X1
0.00/0.26	       | app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))),
0.00/0.26	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.26	tff('4', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.26	      (app_encode_app(X0, $o, X1, sk_A2(X0, X1, X2))
0.00/0.26	       | X2 = X1
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/IN'(X0), sk_A2(X0, X1, X2)), X2)),
0.00/0.26	    inference('simplify', [status(thm)], ['3'])).
0.00/0.26	tff('5', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | X1 = X2
0.00/0.26	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.26	       | app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))),
0.00/0.26	    inference('sup-', [status(thm)], ['4', '2'])).
0.00/0.26	tff('6', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.26	      (app_encode_app(X0, $o, X1, sk_A2(X0, X2, X1))
0.00/0.26	       | app_encode_app(X0, $o, X2, sk_A2(X0, X2, X1))
0.00/0.26	       | X1 = X2),
0.00/0.26	    inference('simplify', [status(thm)], ['5'])).
0.00/0.26	tff('7', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	        'const/sets/SUBSET'(sk_A), sk_A1), sk_A22),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('8', plain,
0.00/0.26	    ![X4 : $tType, X5 : app_encode_fun(X4, $o), X7 : X4]:
0.00/0.26	      (app_encode_app(app_encode_fun(X4, $o), $o, 
0.00/0.26	         app_encode_app(X4, app_encode_fun(app_encode_fun(X4, $o), $o), 
0.00/0.26	           'const/sets/IN'(X4), X7), X5)
0.00/0.26	       | ~ app_encode_app(X4, $o, X5, X7)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.26	tff(zf_stmt_8, axiom,
0.00/0.26	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.26	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                    'const/sets/SUBSET'(A),A0),
0.00/0.26	                     A1) <=>
0.00/0.26	      (![A2:A]:
0.00/0.26	         (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                         app_encode_app(A,
0.00/0.26	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.26	                                                       $o),
0.00/0.26	                                        'const/sets/IN'(A),A2),
0.00/0.26	                         A0) =>
0.00/0.26	          app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                         app_encode_app(A,
0.00/0.26	                                        app_encode_fun(app_encode_fun(A,$o),
0.00/0.26	                                                       $o),
0.00/0.26	                                        'const/sets/IN'(A),A2),
0.00/0.26	                         A1)))))).
0.00/0.26	tff('9', plain,
0.00/0.26	    ![X14 : $tType, X15 : X14, X16 : app_encode_fun(X14, $o), 
0.00/0.26	      X17 : app_encode_fun(X14, $o)]:
0.00/0.26	      (~ app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	           app_encode_app(X14, app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	             'const/sets/IN'(X14), X15), X16)
0.00/0.26	       | app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	           app_encode_app(X14, app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	             'const/sets/IN'(X14), X15), X17)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	             app_encode_app(app_encode_fun(X14, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	               'const/sets/SUBSET'(X14), X16), X17)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.26	tff('10', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, 
0.00/0.26	      X3 : app_encode_fun(X0, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(X0, $o, X1, X2)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	               'const/sets/SUBSET'(X0), X1), X3)
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/IN'(X0), X2), X3)),
0.00/0.26	    inference('sup-', [status(thm)], ['8', '9'])).
0.00/0.26	tff('11', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : X0, 
0.00/0.26	      X3 : app_encode_fun(X0, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	         app_encode_app(X0, app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	           'const/sets/IN'(X0), X2), X3)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	             app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	               'const/sets/SUBSET'(X0), X1), X3)
0.00/0.26	       | ~ app_encode_app(X0, $o, X1, X2)),
0.00/0.26	    inference('simplify', [status(thm)], ['10'])).
0.00/0.26	tff('12', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	           app_encode_app(sk_A, 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	             'const/sets/IN'(sk_A), X0), sk_A22)),
0.00/0.26	    inference('sup-', [status(thm)], ['7', '11'])).
0.00/0.26	tff('13', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/IN'(sk_A), X0), sk_A22)
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['12'])).
0.00/0.26	tff('14', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.26	       | app_encode_app(sk_A, $o, sk_A22, X0)),
0.00/0.26	    inference('sup-', [status(thm)], ['13', '2'])).
0.00/0.26	tff('15', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (app_encode_app(sk_A, $o, sk_A22, X0)
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['14'])).
0.00/0.26	tff('16', plain,
0.00/0.26	    ![X14 : $tType, X16 : app_encode_fun(X14, $o), 
0.00/0.26	      X18 : app_encode_fun(X14, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(X14, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(X14), X16), X18)
0.00/0.26	       | app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	           app_encode_app(X14, app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	             'const/sets/IN'(X14), sk_A21(X14, X18, X16)), X16)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.26	tff('17', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/SUBSET'(X0), X1), X2)
0.00/0.26	       | app_encode_app(X0, $o, X1, sk_A21(X0, X2, X1))),
0.00/0.26	    inference('sup-', [status(thm)], ['16', '2'])).
0.00/0.26	tff('18', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, $o), X2 : app_encode_fun(X0, $o)]:
0.00/0.26	      (app_encode_app(X0, $o, X1, sk_A21(X0, X2, X1))
0.00/0.26	       | app_encode_app(app_encode_fun(X0, $o), $o, 
0.00/0.26	           app_encode_app(app_encode_fun(X0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X0, $o), $o), 
0.00/0.26	             'const/sets/SUBSET'(X0), X1), X2)),
0.00/0.26	    inference('simplify', [status(thm)], ['17'])).
0.00/0.26	tff(zf_stmt_9, axiom,
0.00/0.26	  (![A:$tType,A0:app_encode_fun(A,$o),A1:app_encode_fun(A,$o)]:
0.00/0.26	     (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                     app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                    app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                    'const/sets/PSUBSET'(A),A0),
0.00/0.26	                     A1) <=>
0.00/0.26	      (app_encode_app(app_encode_fun(A,$o),$o,
0.00/0.26	                      app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                     app_encode_fun(app_encode_fun(A,$o),$o),
0.00/0.26	                                     'const/sets/SUBSET'(A),A0),
0.00/0.26	                      A1) & 
0.00/0.26	       (A0 != A1))))).
0.00/0.26	tff('19', plain,
0.00/0.26	    ![X19 : $tType, X20 : app_encode_fun(X19, $o), 
0.00/0.26	      X21 : app_encode_fun(X19, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X19, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(X19, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X19, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(X19), X20), X21)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X19, $o), $o, 
0.00/0.26	             app_encode_app(app_encode_fun(X19, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X19, $o), $o), 
0.00/0.26	               'const/sets/PSUBSET'(X19), X20), X21)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.26	tff('20', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A1)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '19'])).
0.00/0.26	tff('21', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	        'const/sets/SUBSET'(sk_A), sk_A0), sk_A1),
0.00/0.26	    inference('simplify', [status(thm)], ['20'])).
0.00/0.26	tff('22', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	           app_encode_app(sk_A, 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	             'const/sets/IN'(sk_A), X0), sk_A1)),
0.00/0.26	    inference('sup-', [status(thm)], ['21', '11'])).
0.00/0.26	tff('23', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(sk_A, app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/IN'(sk_A), X0), sk_A1)
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['22'])).
0.00/0.26	tff('24', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)
0.00/0.26	       | app_encode_app(sk_A, $o, sk_A1, X0)),
0.00/0.26	    inference('sup-', [status(thm)], ['23', '2'])).
0.00/0.26	tff('25', plain,
0.00/0.26	    ![X0 : sk_A]:
0.00/0.26	      (app_encode_app(sk_A, $o, sk_A1, X0)
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A0, X0)),
0.00/0.26	    inference('simplify', [status(thm)], ['24'])).
0.00/0.26	tff('26', plain,
0.00/0.26	    ![X14 : $tType, X16 : app_encode_fun(X14, $o), 
0.00/0.26	      X18 : app_encode_fun(X14, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(X14, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(X14), X16), X18)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X14, $o), $o, 
0.00/0.26	             app_encode_app(X14, 
0.00/0.26	               app_encode_fun(app_encode_fun(X14, $o), $o), 
0.00/0.26	               'const/sets/IN'(X14), sk_A21(X14, X18, X16)), X18)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.26	tff('27', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21(sk_A, sk_A22, X0))
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	             'const/sets/SUBSET'(sk_A), X0), sk_A22)),
0.00/0.26	    inference('sup-', [status(thm)], ['13', '26'])).
0.00/0.26	tff('28', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(sk_A), X0), sk_A22)
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A1, sk_A21(sk_A, sk_A22, X0))),
0.00/0.26	    inference('simplify', [status(thm)], ['27'])).
0.00/0.26	tff('29', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.26	      (~ $true
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21(sk_A, sk_A22, X0))
0.00/0.26	       | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	             'const/sets/SUBSET'(sk_A), X0), sk_A22)),
0.00/0.26	    inference('sup-', [status(thm)], ['25', '28'])).
0.00/0.26	tff('30', plain,
0.00/0.26	    ![X0 : app_encode_fun(sk_A, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(sk_A), X0), sk_A22)
0.00/0.26	       | ~ app_encode_app(sk_A, $o, sk_A0, sk_A21(sk_A, sk_A22, X0))),
0.00/0.26	    inference('simplify', [status(thm)], ['29'])).
0.00/0.26	tff('31', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	           'const/sets/SUBSET'(sk_A), sk_A0), sk_A22)),
0.00/0.26	    inference('sup-', [status(thm)], ['18', '30'])).
0.00/0.26	tff('32', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	        app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	        'const/sets/SUBSET'(sk_A), sk_A0), sk_A22),
0.00/0.26	    inference('simplify', [status(thm)], ['31'])).
0.00/0.26	tff('33', plain,
0.00/0.26	    ![X19 : $tType, X20 : app_encode_fun(X19, $o), 
0.00/0.26	      X22 : app_encode_fun(X19, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X19, $o), $o, 
0.00/0.26	         app_encode_app(app_encode_fun(X19, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X19, $o), $o), 
0.00/0.26	           'const/sets/PSUBSET'(X19), X20), X22)
0.00/0.26	       | X20 = X22
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X19, $o), $o, 
0.00/0.26	             app_encode_app(app_encode_fun(X19, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X19, $o), $o), 
0.00/0.26	               'const/sets/SUBSET'(X19), X20), X22)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.26	tff('34', plain,
0.00/0.26	    ~ app_encode_app(app_encode_fun(sk_A, $o), $o, 
0.00/0.26	        app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	          app_encode_fun(app_encode_fun(sk_A, $o), $o), 
0.00/0.26	          'const/sets/PSUBSET'(sk_A), sk_A0), sk_A22),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('35', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | ~ 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)], ['33', '34'])).
0.00/0.27	tff('36', 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)], ['35'])).
0.00/0.27	tff('37', plain, (~ $true | sk_A0 = sk_A22),
0.00/0.27	    inference('sup-', [status(thm)], ['32', '36'])).
0.00/0.27	tff('38', plain, sk_A0 = sk_A22, inference('simplify', [status(thm)], ['37'])).
0.00/0.27	tff('39', 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', '38'])).
0.00/0.27	tff('40', 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', '39'])).
0.00/0.27	tff('41', 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)], ['40'])).
0.00/0.27	tff('42', 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)], ['41'])).
0.00/0.27	tff('43', 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)], ['42'])).
0.00/0.27	tff('44', plain,
0.00/0.27	    ![X8 : $tType, X11 : app_encode_fun(X8, $o), X13 : app_encode_fun(X8, $o)]:
0.00/0.27	      (X11 = X13
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.27	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.27	               'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X13)
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X8, $o), $o, 
0.00/0.27	             app_encode_app(X8, app_encode_fun(app_encode_fun(X8, $o), $o), 
0.00/0.27	               'const/sets/IN'(X8), sk_A2(X8, X13, X11)), X11)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.27	tff('45', 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', '44'])).
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	      (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)], ['45'])).
0.00/0.27	tff('47', 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)], ['23', '46'])).
0.00/0.27	tff('48', 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)], ['47'])).
0.00/0.27	tff('49', 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)], ['43', '48'])).
0.00/0.27	tff('50', 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)], ['49'])).
0.00/0.27	tff('51', plain, sk_A1 = sk_A0, inference('clc', [status(thm)], ['50', '43'])).
0.00/0.27	tff('52', 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', '51'])).
0.00/0.27	tff('53', plain,
0.00/0.27	    ![X19 : $tType, X20 : app_encode_fun(X19, $o), 
0.00/0.27	      X21 : app_encode_fun(X19, $o)]:
0.00/0.27	      (X20 != X21
0.00/0.27	       | ~ app_encode_app(app_encode_fun(X19, $o), $o, 
0.00/0.27	             app_encode_app(app_encode_fun(X19, $o), 
0.00/0.27	               app_encode_fun(app_encode_fun(X19, $o), $o), 
0.00/0.27	               'const/sets/PSUBSET'(X19), X20), X21)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.27	tff('54', plain,
0.00/0.27	    ![X19 : $tType, X21 : app_encode_fun(X19, $o)]:
0.00/0.27	      ~ app_encode_app(app_encode_fun(X19, $o), $o, 
0.00/0.27	          app_encode_app(app_encode_fun(X19, $o), 
0.00/0.27	            app_encode_fun(app_encode_fun(X19, $o), $o), 
0.00/0.27	            'const/sets/PSUBSET'(X19), X21), X21),
0.00/0.27	    inference('simplify', [status(thm)], ['53'])).
0.00/0.27	tff('55', plain, ~ $true, inference('sup-', [status(thm)], ['52', '54'])).
0.00/0.27	tff('56', plain, $false, inference('simplify', [status(thm)], ['55'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
