0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n188.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:15:25 CST 2018
13.43/13.70	% done 1520 iterations in 13.498s
13.43/13.70	% SZS status Theorem for 'stdin'
13.43/13.70	% SZS output start Refutation
13.43/13.70	tff(zf_stmt_6, axiom,
13.43/13.70	  (powersetI <=>
13.43/13.70	   (![A,B]:
13.43/13.70	      ((![Xx]:
13.43/13.70	          (app_encode_app($i,$o,
13.43/13.70	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
13.43/13.70	           app_encode_app($i,$o,
13.43/13.70	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))) =>
13.43/13.70	       app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
13.43/13.70	                      app_encode_app($i,$i,powerset,A)))))).
13.43/13.70	tff('0', plain,
13.43/13.70	    ![X4, X5]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
13.43/13.70	           app_encode_app($i, $i, powerset, X5))
13.43/13.70	       | ~ powersetI),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_6])).
13.43/13.70	tff(zf_stmt_12, conjecture,
13.43/13.70	  (powersetI =>
13.43/13.70	   (powersetE =>
13.43/13.70	    (binunionEcases =>
13.43/13.70	     (![A,X]:
13.43/13.70	        (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
13.43/13.70	                        app_encode_app($i,$i,powerset,A)) =>
13.43/13.70	         (![Y]:
13.43/13.70	            (app_encode_app($i,$o,
13.43/13.70	                            app_encode_app($i,app_encode_fun($i,$o),in,Y),
13.43/13.70	                            app_encode_app($i,$i,powerset,A)) =>
13.43/13.70	             app_encode_app($i,$o,
13.43/13.70	                            app_encode_app($i,app_encode_fun($i,$o),in,
13.43/13.70	                                           app_encode_app($i,$i,
13.43/13.70	                                                          app_encode_app(
13.43/13.70	                                                          $i,
13.43/13.70	                                                          app_encode_fun(
13.43/13.70	                                                          $i,$i),binunion,X),
13.43/13.70	                                                          Y)),
13.43/13.70	                            app_encode_app($i,$i,powerset,A)))))))))).
13.43/13.70	tff(zf_stmt_0, negated_conjecture,
13.43/13.70	  (~
13.43/13.70	    (powersetI =>
13.43/13.70	     (powersetE =>
13.43/13.70	      (binunionEcases =>
13.43/13.70	       (![A,X]:
13.43/13.70	          (app_encode_app($i,$o,
13.43/13.70	                          app_encode_app($i,app_encode_fun($i,$o),in,X),
13.43/13.70	                          app_encode_app($i,$i,powerset,A)) =>
13.43/13.70	           (![Y]:
13.43/13.70	              (app_encode_app($i,$o,
13.43/13.70	                              app_encode_app($i,app_encode_fun($i,$o),in,Y),
13.43/13.70	                              app_encode_app($i,$i,powerset,A)) =>
13.43/13.70	               app_encode_app($i,$o,
13.43/13.70	                              app_encode_app($i,app_encode_fun($i,$o),in,
13.43/13.70	                                             app_encode_app($i,$i,
13.43/13.70	                                                            app_encode_app(
13.43/13.70	                                                            $i,
13.43/13.70	                                                            app_encode_fun(
13.43/13.70	                                                            $i,$i),binunion,X),
13.43/13.70	                                                            Y)),
13.43/13.70	                              app_encode_app($i,$i,powerset,A))))))))))).
13.43/13.70	tff('1', plain, powersetI, inference('cnf', [status(esa)], [zf_stmt_0])).
13.43/13.70	tff('2', plain,
13.43/13.70	    ![X4, X5]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
13.43/13.70	           app_encode_app($i, $i, powerset, X5))
13.43/13.70	       | ~ $true),
13.43/13.70	    inference('demod', [status(thm)], ['0', '1'])).
13.43/13.70	tff('3', plain,
13.43/13.70	    ![X4, X5]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
13.43/13.70	         app_encode_app($i, $i, powerset, X5))
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)),
13.43/13.70	    inference('simplify', [status(thm)], ['2'])).
13.43/13.70	tff(zf_stmt_11, axiom,
13.43/13.70	  (binunionEcases <=>
13.43/13.70	   (![A,B,Xx,Xphi:$o]:
13.43/13.70	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
13.43/13.70	                      app_encode_app($i,$i,
13.43/13.70	                                     app_encode_app($i,app_encode_fun($i,$i),
13.43/13.70	                                                    binunion,A),
13.43/13.70	                                     B)) =>
13.43/13.70	       ((app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
13.43/13.70	                        A) =>
13.43/13.70	         Xphi) =>
13.43/13.70	        ((app_encode_app($i,$o,
13.43/13.70	                         app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
13.43/13.70	          Xphi) =>
13.43/13.70	         Xphi)))))).
13.43/13.70	tff('4', plain,
13.43/13.70	    ![X10 : $o, X11, X12, X13]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
13.43/13.70	       | X10
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X13)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X11), 
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, X12), 
13.43/13.70	               X13))
13.43/13.70	       | ~ binunionEcases),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_11])).
13.43/13.70	tff('5', plain, binunionEcases, inference('cnf', [status(esa)], [zf_stmt_0])).
13.43/13.70	tff('6', plain,
13.43/13.70	    ![X10 : $o, X11, X12, X13]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
13.43/13.70	       | X10
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X13)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X11), 
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, X12), 
13.43/13.70	               X13))
13.43/13.70	       | ~ $true),
13.43/13.70	    inference('demod', [status(thm)], ['4', '5'])).
13.43/13.70	tff('7', plain,
13.43/13.70	    ![X10 : $o, X11, X12, X13]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X11), 
13.43/13.70	           app_encode_app($i, $i, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $i), binunion, X12), X13))
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X13)
13.43/13.70	       | X10
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)),
13.43/13.70	    inference('simplify', [status(thm)], ['6'])).
13.43/13.70	tff('8', plain,
13.43/13.70	    ![X0, X1, X2]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X2), 
13.43/13.70	           app_encode_app($i, $i, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0))
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X1)),
13.43/13.70	    inference('condensation', [status(thm)], ['7'])).
13.43/13.70	tff('9', plain,
13.43/13.70	    ![X0, X1, X2]:
13.43/13.70	      (~ $true
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0)), 
13.43/13.70	           app_encode_app($i, $i, powerset, X2))
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	             sk_Xx(
13.43/13.70	               app_encode_app($i, $i, 
13.43/13.70	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
13.43/13.70	                 X0), X2)), X1)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	             sk_Xx(
13.43/13.70	               app_encode_app($i, $i, 
13.43/13.70	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
13.43/13.70	                 X0), X2)), X0)),
13.43/13.70	    inference('sup-', [status(thm)], ['3', '8'])).
13.43/13.70	tff('10', plain,
13.43/13.70	    ![X0, X1, X2]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0), 
13.43/13.70	             X2)), X0)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	             sk_Xx(
13.43/13.70	               app_encode_app($i, $i, 
13.43/13.70	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
13.43/13.70	                 X0), X2)), X1)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0)), 
13.43/13.70	           app_encode_app($i, $i, powerset, X2))),
13.43/13.70	    inference('simplify', [status(thm)], ['9'])).
13.43/13.70	tff('11', plain,
13.43/13.70	    ~ app_encode_app($i, $o, 
13.43/13.70	        app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	          app_encode_app($i, $i, 
13.43/13.70	            app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), sk_Y)), 
13.43/13.70	        app_encode_app($i, $i, powerset, sk_A3)),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
13.43/13.70	tff('12', plain,
13.43/13.70	    (~ $true
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	               sk_Y), sk_A3)), sk_X)
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	               sk_Y), sk_A3)), sk_Y)),
13.43/13.70	    inference('sup-', [status(thm)], ['10', '11'])).
13.43/13.70	tff('13', plain,
13.43/13.70	    (app_encode_app($i, $o, 
13.43/13.70	       app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	         sk_Xx(
13.43/13.70	           app_encode_app($i, $i, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	             sk_Y), sk_A3)), sk_Y)
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	               sk_Y), sk_A3)), sk_X)),
13.43/13.70	    inference('simplify', [status(thm)], ['12'])).
13.43/13.70	tff('14', plain,
13.43/13.70	    app_encode_app($i, $o, 
13.43/13.70	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Y), 
13.43/13.70	      app_encode_app($i, $i, powerset, sk_A3)),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
13.43/13.70	tff(zf_stmt_8, axiom,
13.43/13.70	  (powersetE <=>
13.43/13.70	   (![A,B,Xx]:
13.43/13.70	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
13.43/13.70	                      app_encode_app($i,$i,powerset,A)) =>
13.43/13.70	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
13.43/13.70	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
13.43/13.70	tff('15', plain,
13.43/13.70	    ![X7, X8, X9]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
13.43/13.70	             app_encode_app($i, $i, powerset, X9))
13.43/13.70	       | ~ powersetE),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_8])).
13.43/13.70	tff('16', plain, powersetE, inference('cnf', [status(esa)], [zf_stmt_0])).
13.43/13.70	tff('17', plain,
13.43/13.70	    ![X7, X8, X9]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
13.43/13.70	             app_encode_app($i, $i, powerset, X9))
13.43/13.70	       | ~ $true),
13.43/13.70	    inference('demod', [status(thm)], ['15', '16'])).
13.43/13.70	tff('18', plain,
13.43/13.70	    ![X7, X8, X9]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X8), 
13.43/13.70	           app_encode_app($i, $i, powerset, X9))
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)),
13.43/13.70	    inference('simplify', [status(thm)], ['17'])).
13.43/13.70	tff('19', plain,
13.43/13.70	    ![X0]:
13.43/13.70	      (~ $true
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)),
13.43/13.70	    inference('sup-', [status(thm)], ['14', '18'])).
13.43/13.70	tff('20', plain,
13.43/13.70	    ![X0]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)),
13.43/13.70	    inference('simplify', [status(thm)], ['19'])).
13.43/13.70	tff('21', plain,
13.43/13.70	    (~ $true
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	               sk_Y), sk_A3)), sk_X)
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	               sk_Y), sk_A3)), sk_A3)),
13.43/13.70	    inference('sup-', [status(thm)], ['13', '20'])).
13.43/13.70	tff('22', plain,
13.43/13.70	    (app_encode_app($i, $o, 
13.43/13.70	       app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	         sk_Xx(
13.43/13.70	           app_encode_app($i, $i, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	             sk_Y), sk_A3)), sk_A3)
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           sk_Xx(
13.43/13.70	             app_encode_app($i, $i, 
13.43/13.70	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	               sk_Y), sk_A3)), sk_X)),
13.43/13.70	    inference('simplify', [status(thm)], ['21'])).
13.43/13.70	tff('23', plain,
13.43/13.70	    app_encode_app($i, $o, 
13.43/13.70	      app_encode_app($i, app_encode_fun($i, $o), in, sk_X), 
13.43/13.70	      app_encode_app($i, $i, powerset, sk_A3)),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
13.43/13.70	tff('24', plain,
13.43/13.70	    ![X0]:
13.43/13.70	      (~ $true
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)),
13.43/13.70	    inference('sup-', [status(thm)], ['23', '18'])).
13.43/13.70	tff('25', plain,
13.43/13.70	    ![X0]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)),
13.43/13.70	    inference('simplify', [status(thm)], ['24'])).
13.43/13.70	tff('26', plain,
13.43/13.70	    app_encode_app($i, $o, 
13.43/13.70	      app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	        sk_Xx(
13.43/13.70	          app_encode_app($i, $i, 
13.43/13.70	            app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), sk_Y), 
13.43/13.70	          sk_A3)), sk_A3),
13.43/13.70	    inference('clc', [status(thm)], ['22', '25'])).
13.43/13.70	tff('27', plain,
13.43/13.70	    ![X4, X5]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
13.43/13.70	           app_encode_app($i, $i, powerset, X5))
13.43/13.70	       | ~ powersetI),
13.43/13.70	    inference('cnf', [status(esa)], [zf_stmt_6])).
13.43/13.70	tff('28', plain,
13.43/13.70	    ![X4, X5]:
13.43/13.70	      (~ app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
13.43/13.70	       | app_encode_app($i, $o, 
13.43/13.70	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
13.43/13.70	           app_encode_app($i, $i, powerset, X5))
13.43/13.70	       | ~ $true),
13.43/13.70	    inference('demod', [status(thm)], ['27', '1'])).
13.43/13.70	tff('29', plain,
13.43/13.70	    ![X4, X5]:
13.43/13.70	      (app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
13.43/13.70	         app_encode_app($i, $i, powerset, X5))
13.43/13.70	       | ~ app_encode_app($i, $o, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
13.43/13.70	             X5)),
13.43/13.70	    inference('simplify', [status(thm)], ['28'])).
13.43/13.70	tff('30', plain,
13.43/13.70	    (~ $true
13.43/13.70	     | app_encode_app($i, $o, 
13.43/13.70	         app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	           app_encode_app($i, $i, 
13.43/13.70	             app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
13.43/13.70	             sk_Y)), app_encode_app($i, $i, powerset, sk_A3))),
13.43/13.70	    inference('sup-', [status(thm)], ['26', '29'])).
13.43/13.70	tff('31', plain,
13.43/13.70	    app_encode_app($i, $o, 
13.43/13.70	      app_encode_app($i, app_encode_fun($i, $o), in, 
13.43/13.70	        app_encode_app($i, $i, 
13.43/13.70	          app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), sk_Y)), 
13.43/13.70	      app_encode_app($i, $i, powerset, sk_A3)),
13.43/13.70	    inference('simplify', [status(thm)], ['30'])).
13.43/13.70	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['31', '11'])).
13.43/13.70	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
13.43/13.70	
13.43/13.70	% SZS output end Refutation
13.52/13.70	EOF
