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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n047.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:15:25 CST 2018
2.86/3.08	% done 523 iterations in 2.879s
2.86/3.08	% SZS status Theorem for 'stdin'
2.86/3.08	% SZS output start Refutation
2.86/3.08	tff(zf_stmt_6, axiom,
2.86/3.08	  (powersetI <=>
2.86/3.08	   (![A,B]:
2.86/3.08	      ((![Xx]:
2.86/3.08	          (app_encode_app($i,$o,
2.86/3.08	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
2.86/3.08	           app_encode_app($i,$o,
2.86/3.08	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))) =>
2.86/3.08	       app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
2.86/3.08	                      app_encode_app($i,$i,powerset,A)))))).
2.86/3.08	tff('0', plain,
2.86/3.08	    ![X4, X5]:
2.86/3.08	      (app_encode_app($i, $o, 
2.86/3.08	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
2.86/3.08	       | app_encode_app($i, $o, 
2.86/3.08	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
2.86/3.08	           app_encode_app($i, $i, powerset, X5))
2.86/3.08	       | ~ powersetI),
2.86/3.08	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.86/3.08	tff(zf_stmt_12, conjecture,
2.86/3.08	  (powersetI =>
2.86/3.08	   (powersetE =>
2.86/3.08	    (binunionEcases =>
2.86/3.08	     (![A,X]:
2.86/3.08	        (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
2.86/3.08	                        app_encode_app($i,$i,powerset,A)) =>
2.86/3.08	         (![Y]:
2.86/3.10	            (app_encode_app($i,$o,
2.86/3.10	                            app_encode_app($i,app_encode_fun($i,$o),in,Y),
2.86/3.10	                            app_encode_app($i,$i,powerset,A)) =>
2.86/3.10	             app_encode_app($i,$o,
2.86/3.10	                            app_encode_app($i,app_encode_fun($i,$o),in,
2.86/3.10	                                           app_encode_app($i,$i,
2.86/3.10	                                                          app_encode_app(
2.86/3.10	                                                          $i,
2.86/3.10	                                                          app_encode_fun(
2.86/3.10	                                                          $i,$i),binunion,X),
2.86/3.10	                                                          Y)),
2.86/3.10	                            app_encode_app($i,$i,powerset,A)))))))))).
2.86/3.10	tff(zf_stmt_0, negated_conjecture,
2.86/3.10	  (~
2.86/3.10	    (powersetI =>
2.86/3.10	     (powersetE =>
2.86/3.10	      (binunionEcases =>
2.86/3.10	       (![A,X]:
2.86/3.10	          (app_encode_app($i,$o,
2.86/3.10	                          app_encode_app($i,app_encode_fun($i,$o),in,X),
2.86/3.10	                          app_encode_app($i,$i,powerset,A)) =>
2.86/3.10	           (![Y]:
2.86/3.10	              (app_encode_app($i,$o,
2.86/3.10	                              app_encode_app($i,app_encode_fun($i,$o),in,Y),
2.86/3.10	                              app_encode_app($i,$i,powerset,A)) =>
2.86/3.10	               app_encode_app($i,$o,
2.86/3.10	                              app_encode_app($i,app_encode_fun($i,$o),in,
2.86/3.10	                                             app_encode_app($i,$i,
2.86/3.10	                                                            app_encode_app(
2.86/3.10	                                                            $i,
2.86/3.10	                                                            app_encode_fun(
2.86/3.10	                                                            $i,$i),binunion,X),
2.86/3.10	                                                            Y)),
2.86/3.10	                              app_encode_app($i,$i,powerset,A))))))))))).
2.86/3.10	tff('1', plain, powersetI, inference('cnf', [status(esa)], [zf_stmt_0])).
2.86/3.10	tff('2', plain,
2.86/3.10	    ![X4, X5]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
2.86/3.10	           app_encode_app($i, $i, powerset, X5))
2.86/3.10	       | ~ $true),
2.86/3.10	    inference('demod', [status(thm)], ['0', '1'])).
2.86/3.10	tff('3', plain,
2.86/3.10	    ![X4, X5]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
2.86/3.10	         app_encode_app($i, $i, powerset, X5))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X4)),
2.86/3.10	    inference('simplify', [status(thm)], ['2'])).
2.86/3.10	tff(zf_stmt_11, axiom,
2.86/3.10	  (binunionEcases <=>
2.86/3.10	   (![A,B,Xx,Xphi:$o]:
2.86/3.10	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
2.86/3.10	                      app_encode_app($i,$i,
2.86/3.10	                                     app_encode_app($i,app_encode_fun($i,$i),
2.86/3.10	                                                    binunion,A),
2.86/3.10	                                     B)) =>
2.86/3.10	       ((app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),
2.86/3.10	                        A) =>
2.86/3.10	         Xphi) =>
2.86/3.10	        ((app_encode_app($i,$o,
2.86/3.10	                         app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
2.86/3.10	          Xphi) =>
2.86/3.10	         Xphi)))))).
2.86/3.10	tff('4', plain,
2.86/3.10	    ![X10 : $o, X11, X12, X13]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
2.86/3.10	       | X10
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X13)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X11), 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X12), 
2.86/3.10	               X13))
2.86/3.10	       | ~ binunionEcases),
2.86/3.10	    inference('cnf', [status(esa)], [zf_stmt_11])).
2.86/3.10	tff('5', plain, binunionEcases, inference('cnf', [status(esa)], [zf_stmt_0])).
2.86/3.10	tff('6', plain,
2.86/3.10	    ![X10 : $o, X11, X12, X13]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)
2.86/3.10	       | X10
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X13)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X11), 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X12), 
2.86/3.10	               X13))
2.86/3.10	       | ~ $true),
2.86/3.10	    inference('demod', [status(thm)], ['4', '5'])).
2.86/3.10	tff('7', plain,
2.86/3.10	    ![X10 : $o, X11, X12, X13]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X11), 
2.86/3.10	           app_encode_app($i, $i, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $i), binunion, X12), X13))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X13)
2.86/3.10	       | X10
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X11), X12)),
2.86/3.10	    inference('simplify', [status(thm)], ['6'])).
2.86/3.10	tff('8', plain,
2.86/3.10	    ![X0, X1, X2]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X2), 
2.86/3.10	           app_encode_app($i, $i, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X0)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X2), X1)),
2.86/3.10	    inference('condensation', [status(thm)], ['7'])).
2.86/3.10	tff('9', plain,
2.86/3.10	    ![X0, X1, X2]:
2.86/3.10	      (~ $true
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0)), 
2.86/3.10	           app_encode_app($i, $i, powerset, X2))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	                 X0), X2)), X1)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	                 X0), X2)), X0)),
2.86/3.10	    inference('sup-', [status(thm)], ['3', '8'])).
2.86/3.10	tff('10', plain,
2.86/3.10	    ![X0, X1, X2]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	           sk_Xx(
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0), 
2.86/3.10	             X2)), X0)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	                 X0), X2)), X1)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0)), 
2.86/3.10	           app_encode_app($i, $i, powerset, X2))),
2.86/3.10	    inference('simplify', [status(thm)], ['9'])).
2.86/3.10	tff('11', plain,
2.86/3.10	    app_encode_app($i, $o, 
2.86/3.10	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Y), 
2.86/3.10	      app_encode_app($i, $i, powerset, sk_A3)),
2.86/3.10	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.86/3.10	tff(zf_stmt_8, axiom,
2.86/3.10	  (powersetE <=>
2.86/3.10	   (![A,B,Xx]:
2.86/3.10	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,B),
2.86/3.10	                      app_encode_app($i,$i,powerset,A)) =>
2.86/3.10	       (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),B) =>
2.86/3.10	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
2.86/3.10	tff('12', plain,
2.86/3.10	    ![X7, X8, X9]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
2.86/3.10	             app_encode_app($i, $i, powerset, X9))
2.86/3.10	       | ~ powersetE),
2.86/3.10	    inference('cnf', [status(esa)], [zf_stmt_8])).
2.86/3.10	tff('13', plain, powersetE, inference('cnf', [status(esa)], [zf_stmt_0])).
2.86/3.10	tff('14', plain,
2.86/3.10	    ![X7, X8, X9]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X8), 
2.86/3.10	             app_encode_app($i, $i, powerset, X9))
2.86/3.10	       | ~ $true),
2.86/3.10	    inference('demod', [status(thm)], ['12', '13'])).
2.86/3.10	tff('15', plain,
2.86/3.10	    ![X7, X8, X9]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X8), 
2.86/3.10	           app_encode_app($i, $i, powerset, X9))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X7), X9)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X7), X8)),
2.86/3.10	    inference('simplify', [status(thm)], ['14'])).
2.86/3.10	tff('16', plain,
2.86/3.10	    ![X0]:
2.86/3.10	      (~ $true
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)),
2.86/3.10	    inference('sup-', [status(thm)], ['11', '15'])).
2.86/3.10	tff('17', plain,
2.86/3.10	    ![X0]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_Y)),
2.86/3.10	    inference('simplify', [status(thm)], ['16'])).
2.86/3.10	tff('18', plain,
2.86/3.10	    ![X0, X1]:
2.86/3.10	      (~ $true
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	               sk_Y)), app_encode_app($i, $i, powerset, X0))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	                 sk_Y), X0)), X1)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	                 sk_Y), X0)), sk_A3)),
2.86/3.10	    inference('sup-', [status(thm)], ['10', '17'])).
2.86/3.10	tff('19', plain,
2.86/3.10	    ![X0, X1]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	           sk_Xx(
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	               sk_Y), X0)), sk_A3)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	                 sk_Y), X0)), X1)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, X1), 
2.86/3.10	               sk_Y)), app_encode_app($i, $i, powerset, X0))),
2.86/3.10	    inference('simplify', [status(thm)], ['18'])).
2.86/3.10	tff('20', plain,
2.86/3.10	    app_encode_app($i, $o, 
2.86/3.10	      app_encode_app($i, app_encode_fun($i, $o), in, sk_X), 
2.86/3.10	      app_encode_app($i, $i, powerset, sk_A3)),
2.86/3.10	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.86/3.10	tff('21', plain,
2.86/3.10	    ![X0]:
2.86/3.10	      (~ $true
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)),
2.86/3.10	    inference('sup-', [status(thm)], ['20', '15'])).
2.86/3.10	tff('22', plain,
2.86/3.10	    ![X0]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_A3)
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, X0), sk_X)),
2.86/3.10	    inference('simplify', [status(thm)], ['21'])).
2.86/3.10	tff('23', plain,
2.86/3.10	    ![X0]:
2.86/3.10	      (~ $true
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	               sk_Y)), app_encode_app($i, $i, powerset, X0))
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	                 sk_Y), X0)), sk_A3)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             sk_Xx(
2.86/3.10	               app_encode_app($i, $i, 
2.86/3.10	                 app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	                 sk_Y), X0)), sk_A3)),
2.86/3.10	    inference('sup-', [status(thm)], ['19', '22'])).
2.86/3.10	tff('24', plain,
2.86/3.10	    ![X0]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	           sk_Xx(
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	               sk_Y), X0)), sk_A3)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	             app_encode_app($i, $i, 
2.86/3.10	               app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	               sk_Y)), app_encode_app($i, $i, powerset, X0))),
2.86/3.10	    inference('simplify', [status(thm)], ['23'])).
2.86/3.10	tff('25', plain,
2.86/3.10	    ![X4, X5]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
2.86/3.10	           app_encode_app($i, $i, powerset, X5))
2.86/3.10	       | ~ powersetI),
2.86/3.10	    inference('cnf', [status(esa)], [zf_stmt_6])).
2.86/3.10	tff('26', plain,
2.86/3.10	    ![X4, X5]:
2.86/3.10	      (~ app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), X5)
2.86/3.10	       | app_encode_app($i, $o, 
2.86/3.10	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
2.86/3.10	           app_encode_app($i, $i, powerset, X5))
2.86/3.10	       | ~ $true),
2.86/3.10	    inference('demod', [status(thm)], ['25', '1'])).
2.86/3.10	tff('27', plain,
2.86/3.10	    ![X4, X5]:
2.86/3.10	      (app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
2.86/3.10	         app_encode_app($i, $i, powerset, X5))
2.86/3.10	       | ~ app_encode_app($i, $o, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X5)), 
2.86/3.10	             X5)),
2.86/3.10	    inference('simplify', [status(thm)], ['26'])).
2.86/3.10	tff('28', plain,
2.86/3.10	    (~ $true
2.86/3.10	     | app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	           app_encode_app($i, $i, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	             sk_Y)), app_encode_app($i, $i, powerset, sk_A3))
2.86/3.10	     | app_encode_app($i, $o, 
2.86/3.10	         app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	           app_encode_app($i, $i, 
2.86/3.10	             app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), 
2.86/3.10	             sk_Y)), app_encode_app($i, $i, powerset, sk_A3))),
2.86/3.10	    inference('sup-', [status(thm)], ['24', '27'])).
2.86/3.10	tff('29', plain,
2.86/3.10	    app_encode_app($i, $o, 
2.86/3.10	      app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	        app_encode_app($i, $i, 
2.86/3.10	          app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), sk_Y)), 
2.86/3.10	      app_encode_app($i, $i, powerset, sk_A3)),
2.86/3.10	    inference('simplify', [status(thm)], ['28'])).
2.86/3.10	tff('30', plain,
2.86/3.10	    ~ app_encode_app($i, $o, 
2.86/3.10	        app_encode_app($i, app_encode_fun($i, $o), in, 
2.86/3.10	          app_encode_app($i, $i, 
2.86/3.10	            app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X), sk_Y)), 
2.86/3.10	        app_encode_app($i, $i, powerset, sk_A3)),
2.86/3.10	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.86/3.10	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['29', '30'])).
2.86/3.10	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
2.86/3.10	
2.86/3.10	% SZS output end Refutation
2.86/3.10	EOF
