0.00/0.01	% File    : /export/starexec/sandbox/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n164.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:17:11 CST 2018
43.53/43.72	% done 868 iterations in 43.508s
43.53/43.72	% SZS status Theorem for 'stdin'
43.53/43.72	% SZS output start Refutation
43.53/43.72	tff(zf_stmt_11, axiom,
43.53/43.72	  (binunionT_lem <=>
43.53/43.72	   (![A,X]:
43.53/43.72	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	       (![Y]:
43.53/43.72	          (app_encode_app($i,$o,
43.53/43.72	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.72	                          app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	           app_encode_app($i,$o,
43.53/43.72	                          app_encode_app($i,app_encode_fun($i,$o),in,
43.53/43.72	                                         app_encode_app($i,$i,
43.53/43.72	                                                        app_encode_app(
43.53/43.72	                                                        $i,
43.53/43.72	                                                        app_encode_fun($i,$i),
43.53/43.72	                                                        binunion,X),Y)),
43.53/43.72	                          app_encode_app($i,$i,powerset,A)))))))).
43.53/43.72	tff('0', plain,
43.53/43.72	    ![X7, X8, X9]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X7), 
43.53/43.72	           app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), binunion, X7), X9)), 
43.53/43.72	           app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X9), 
43.53/43.72	             app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | ~ binunionT_lem),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_11])).
43.53/43.72	tff(zf_stmt_20, conjecture,
43.53/43.72	  (binintersectT_lem =>
43.53/43.72	   (binunionT_lem =>
43.53/43.72	    (complementT_lem =>
43.53/43.72	     (setextT =>
43.53/43.72	      (demorgan2a =>
43.53/43.72	       (demorgan2b =>
43.53/43.72	        (![A,X]:
43.53/43.72	           (app_encode_app($i,$o,
43.53/43.72	                           app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                           app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	            (![Y]:
43.53/43.72	               (app_encode_app($i,$o,
43.53/43.72	                               app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.72	                               app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	                (app_encode_app($i,$i,
43.53/43.72	                                app_encode_app($i,app_encode_fun($i,$i),
43.53/43.72	                                               setminus,A),
43.53/43.72	                                app_encode_app($i,$i,
43.53/43.72	                                               app_encode_app($i,
43.53/43.72	                                                              app_encode_fun(
43.53/43.72	                                                              $i,$i),
43.53/43.72	                                                              binunion,X),
43.53/43.72	                                               Y)) =
43.53/43.72	                 app_encode_app($i,$i,
43.53/43.72	                                app_encode_app($i,app_encode_fun($i,$i),
43.53/43.72	                                               binintersect,
43.53/43.72	                                               app_encode_app($i,$i,
43.53/43.72	                                                              app_encode_app(
43.53/43.72	                                                              $i,
43.53/43.72	                                                              app_encode_fun(
43.53/43.72	                                                              $i,$i),
43.53/43.72	                                                              setminus,A),X)),
43.53/43.72	                                app_encode_app($i,$i,
43.53/43.72	                                               app_encode_app($i,
43.53/43.72	                                                              app_encode_fun(
43.53/43.72	                                                              $i,$i),
43.53/43.72	                                                              setminus,A),
43.53/43.72	                                               Y)))))))))))))).
43.53/43.72	tff(zf_stmt_0, negated_conjecture,
43.53/43.72	  (~
43.53/43.72	    (binintersectT_lem =>
43.53/43.72	     (binunionT_lem =>
43.53/43.72	      (complementT_lem =>
43.53/43.72	       (setextT =>
43.53/43.72	        (demorgan2a =>
43.53/43.72	         (demorgan2b =>
43.53/43.72	          (![A,X]:
43.53/43.72	             (app_encode_app($i,$o,
43.53/43.72	                             app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                             app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	              (![Y]:
43.53/43.72	                 (app_encode_app($i,$o,
43.53/43.72	                                 app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.72	                                 app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	                  (app_encode_app($i,$i,
43.53/43.72	                                  app_encode_app($i,app_encode_fun($i,$i),
43.53/43.72	                                                 setminus,A),
43.53/43.72	                                  app_encode_app($i,$i,
43.53/43.72	                                                 app_encode_app($i,
43.53/43.72	                                                                app_encode_fun(
43.53/43.72	                                                                $i,$i),
43.53/43.72	                                                                binunion,X),
43.53/43.72	                                                 Y)) =
43.53/43.72	                   app_encode_app($i,$i,
43.53/43.72	                                  app_encode_app($i,app_encode_fun($i,$i),
43.53/43.72	                                                 binintersect,
43.53/43.72	                                                 app_encode_app($i,$i,
43.53/43.72	                                                                app_encode_app(
43.53/43.72	                                                                $i,
43.53/43.72	                                                                app_encode_fun(
43.53/43.72	                                                                $i,$i),
43.53/43.72	                                                                setminus,A),X)),
43.53/43.72	                                  app_encode_app($i,$i,
43.53/43.72	                                                 app_encode_app($i,
43.53/43.72	                                                                app_encode_fun(
43.53/43.72	                                                                $i,$i),
43.53/43.72	                                                                setminus,A),
43.53/43.72	                                                 Y))))))))))))))).
43.53/43.72	tff('1', plain, binunionT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.72	tff('2', plain,
43.53/43.72	    ![X7, X8, X9]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X7), 
43.53/43.72	           app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), binunion, X7), X9)), 
43.53/43.72	           app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X9), 
43.53/43.72	             app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | ~ $true),
43.53/43.72	    inference('demod', [status(thm)], ['0', '1'])).
43.53/43.72	tff('3', plain,
43.53/43.72	    ![X7, X8, X9]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X9), 
43.53/43.72	           app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), binunion, X7), X9)), 
43.53/43.72	           app_encode_app($i, $i, powerset, X8))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X7), 
43.53/43.72	             app_encode_app($i, $i, powerset, X8))),
43.53/43.72	    inference('simplify', [status(thm)], ['2'])).
43.53/43.72	tff(zf_stmt_13, axiom,
43.53/43.72	  (complementT_lem <=>
43.53/43.72	   (![A,X]:
43.53/43.72	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	       app_encode_app($i,$o,
43.53/43.72	                      app_encode_app($i,app_encode_fun($i,$o),in,
43.53/43.72	                                     app_encode_app($i,$i,
43.53/43.72	                                                    app_encode_app($i,
43.53/43.72	                                                                   app_encode_fun(
43.53/43.72	                                                                   $i,$i),
43.53/43.72	                                                                   setminus,A),
43.53/43.72	                                                    X)),
43.53/43.72	                      app_encode_app($i,$i,powerset,A)))))).
43.53/43.72	tff('4', plain,
43.53/43.72	    ![X10, X11]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X10), 
43.53/43.72	           app_encode_app($i, $i, powerset, X11))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), setminus, X11), 
43.53/43.72	               X10)), app_encode_app($i, $i, powerset, X11))
43.53/43.72	       | ~ complementT_lem),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_13])).
43.53/43.72	tff('5', plain, complementT_lem, inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.72	tff('6', plain,
43.53/43.72	    ![X10, X11]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X10), 
43.53/43.72	           app_encode_app($i, $i, powerset, X11))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), setminus, X11), 
43.53/43.72	               X10)), app_encode_app($i, $i, powerset, X11))
43.53/43.72	       | ~ $true),
43.53/43.72	    inference('demod', [status(thm)], ['4', '5'])).
43.53/43.72	tff('7', plain,
43.53/43.72	    ![X10, X11]:
43.53/43.72	      (app_encode_app($i, $o, 
43.53/43.72	         app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	           app_encode_app($i, $i, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $i), setminus, X11), X10)), 
43.53/43.72	         app_encode_app($i, $i, powerset, X11))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X10), 
43.53/43.72	             app_encode_app($i, $i, powerset, X11))),
43.53/43.72	    inference('simplify', [status(thm)], ['6'])).
43.53/43.72	tff(zf_stmt_9, axiom,
43.53/43.72	  (binintersectT_lem <=>
43.53/43.72	   (![A,X]:
43.53/43.72	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	       (![Y]:
43.53/43.72	          (app_encode_app($i,$o,
43.53/43.72	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.72	                          app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	           app_encode_app($i,$o,
43.53/43.72	                          app_encode_app($i,app_encode_fun($i,$o),in,
43.53/43.72	                                         app_encode_app($i,$i,
43.53/43.72	                                                        app_encode_app(
43.53/43.72	                                                        $i,
43.53/43.72	                                                        app_encode_fun($i,$i),
43.53/43.72	                                                        binintersect,X),Y)),
43.53/43.72	                          app_encode_app($i,$i,powerset,A)))))))).
43.53/43.72	tff('8', plain,
43.53/43.72	    ![X4, X5, X6]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
43.53/43.72	           app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X4), 
43.53/43.72	               X6)), app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X6), 
43.53/43.72	             app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | ~ binintersectT_lem),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_9])).
43.53/43.72	tff('9', plain, binintersectT_lem,
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.72	tff('10', plain,
43.53/43.72	    ![X4, X5, X6]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
43.53/43.72	           app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X4), 
43.53/43.72	               X6)), app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X6), 
43.53/43.72	             app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | ~ $true),
43.53/43.72	    inference('demod', [status(thm)], ['8', '9'])).
43.53/43.72	tff('11', plain,
43.53/43.72	    ![X4, X5, X6]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
43.53/43.72	           app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.72	             app_encode_app($i, $i, 
43.53/43.72	               app_encode_app($i, app_encode_fun($i, $i), binintersect, X4), 
43.53/43.72	               X6)), app_encode_app($i, $i, powerset, X5))
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X4), 
43.53/43.72	             app_encode_app($i, $i, powerset, X5))),
43.53/43.72	    inference('simplify', [status(thm)], ['10'])).
43.53/43.72	tff(zf_stmt_15, axiom,
43.53/43.72	  (setextT <=>
43.53/43.72	   (![A,X]:
43.53/43.72	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	       (![Y]:
43.53/43.72	          (app_encode_app($i,$o,
43.53/43.72	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.72	                          app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	           ((![Xx]:
43.53/43.72	               (app_encode_app($i,$o,
43.53/43.72	                               app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.72	                               A) =>
43.53/43.72	                (app_encode_app($i,$o,
43.53/43.72	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.72	                                X) =>
43.53/43.72	                 app_encode_app($i,$o,
43.53/43.72	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.72	                                Y)))) =>
43.53/43.72	            ((![Xx]:
43.53/43.72	                (app_encode_app($i,$o,
43.53/43.72	                                app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.72	                                A) =>
43.53/43.72	                 (app_encode_app($i,$o,
43.53/43.72	                                 app_encode_app($i,app_encode_fun($i,$o),in,
43.53/43.72	                                                Xx),
43.53/43.72	                                 Y) =>
43.53/43.72	                  app_encode_app($i,$o,
43.53/43.72	                                 app_encode_app($i,app_encode_fun($i,$o),in,
43.53/43.72	                                                Xx),
43.53/43.72	                                 X)))) =>
43.53/43.72	             (X = Y))))))))).
43.53/43.72	tff(zf_stmt_1, axiom,
43.53/43.72	  (zip_tseitin0(Xx,Y,X) <=>
43.53/43.72	   (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),X) =>
43.53/43.72	    app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),Y)))).
43.53/43.72	tff('12', plain,
43.53/43.72	    ![X12, X13, X14]:
43.53/43.72	      (zip_tseitin0(X12, X14, X13)
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X12), X13)),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_1])).
43.53/43.72	tff(zf_stmt_2, axiom,
43.53/43.72	  (zip_tseitin1(Xx,Y,X,A) <=>
43.53/43.72	   (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
43.53/43.72	    zip_tseitin0(Xx,Y,X)))).
43.53/43.72	tff('13', plain,
43.53/43.72	    ![X12, X13, X14, X15]:
43.53/43.72	      (zip_tseitin1(X12, X14, X13, X15) | ~ zip_tseitin0(X12, X14, X13)),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_2])).
43.53/43.72	tff(zf_stmt_3, axiom,
43.53/43.72	  (zip_tseitin3(Xx,Y,X,A) <=>
43.53/43.72	   (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) =>
43.53/43.72	    zip_tseitin2(Xx,Y,X)))).
43.53/43.72	tff('14', plain,
43.53/43.72	    ![X13, X14, X15, X16]:
43.53/43.72	      (zip_tseitin3(X16, X14, X13, X15)
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X16), X15)),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_3])).
43.53/43.72	tff(zf_stmt_4, type, zip_tseitin3 : ($i * $i * $i * $i) > $o).
43.53/43.72	tff(zf_stmt_5, type, zip_tseitin2 : ($i * $i * $i) > $o).
43.53/43.72	tff(zf_stmt_6, axiom,
43.53/43.72	  (zip_tseitin2(Xx,Y,X) <=>
43.53/43.72	   (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),Y) =>
43.53/43.72	    app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),X)))).
43.53/43.72	tff(zf_stmt_7, type, zip_tseitin1 : ($i * $i * $i * $i) > $o).
43.53/43.72	tff(zf_stmt_8, type, zip_tseitin0 : ($i * $i * $i) > $o).
43.53/43.72	tff(zf_stmt_9, axiom,
43.53/43.72	  (setextT <=>
43.53/43.72	   (![A,X]:
43.53/43.72	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.72	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	       (![Y]:
43.53/43.72	          (app_encode_app($i,$o,
43.53/43.72	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.72	                          app_encode_app($i,$i,powerset,A)) =>
43.53/43.72	           ((![Xx]: zip_tseitin1(Xx,Y,X,A)) =>
43.53/43.72	            ((![Xx]: zip_tseitin3(Xx,Y,X,A)) => (X = Y))))))))).
43.53/43.72	tff('15', plain,
43.53/43.72	    ![X17, X18, X19]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X17), 
43.53/43.72	           app_encode_app($i, $i, powerset, X18))
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X19, X17, X18), X19, X17, X18)
43.53/43.72	       | X17 = X19
43.53/43.72	       | ~ zip_tseitin3(sk_Xx1(X19, X17, X18), X19, X17, X18)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X19), 
43.53/43.72	             app_encode_app($i, $i, powerset, X18))
43.53/43.72	       | ~ setextT),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_9])).
43.53/43.72	tff('16', plain, setextT, inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.72	tff('17', plain,
43.53/43.72	    ![X17, X18, X19]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X17), 
43.53/43.72	           app_encode_app($i, $i, powerset, X18))
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X19, X17, X18), X19, X17, X18)
43.53/43.72	       | X17 = X19
43.53/43.72	       | ~ zip_tseitin3(sk_Xx1(X19, X17, X18), X19, X17, X18)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X19), 
43.53/43.72	             app_encode_app($i, $i, powerset, X18))
43.53/43.72	       | ~ $true),
43.53/43.72	    inference('demod', [status(thm)], ['15', '16'])).
43.53/43.72	tff('18', plain,
43.53/43.72	    ![X17, X18, X19]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X19), 
43.53/43.72	           app_encode_app($i, $i, powerset, X18))
43.53/43.72	       | ~ zip_tseitin3(sk_Xx1(X19, X17, X18), X19, X17, X18)
43.53/43.72	       | X17 = X19
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X19, X17, X18), X19, X17, X18)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X17), 
43.53/43.72	             app_encode_app($i, $i, powerset, X18))),
43.53/43.72	    inference('simplify', [status(thm)], ['17'])).
43.53/43.72	tff('19', plain,
43.53/43.72	    ![X0, X1, X2]:
43.53/43.72	      (~ $true
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X2, X1, X0)), 
43.53/43.72	           X0)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.72	             app_encode_app($i, $i, powerset, X0))
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
43.53/43.72	       | X1 = X2
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
43.53/43.72	             app_encode_app($i, $i, powerset, X0))),
43.53/43.72	    inference('sup-', [status(thm)], ['14', '18'])).
43.53/43.72	tff('20', plain,
43.53/43.72	    ![X0, X1, X2]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X2), 
43.53/43.72	           app_encode_app($i, $i, powerset, X0))
43.53/43.72	       | X1 = X2
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.72	             app_encode_app($i, $i, powerset, X0))
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X2, X1, X0)), 
43.53/43.72	           X0)),
43.53/43.72	    inference('simplify', [status(thm)], ['19'])).
43.53/43.72	tff('21', plain,
43.53/43.72	    ![X13, X14, X16]:
43.53/43.72	      (zip_tseitin2(X16, X14, X13)
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X16), X14)),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_6])).
43.53/43.72	tff('22', plain,
43.53/43.72	    ![X13, X14, X15, X16]:
43.53/43.72	      (zip_tseitin3(X16, X14, X13, X15) | ~ zip_tseitin2(X16, X14, X13)),
43.53/43.72	    inference('cnf', [status(esa)], [zf_stmt_3])).
43.53/43.72	tff('23', plain,
43.53/43.72	    ![X0, X1, X2]:
43.53/43.72	      (~ $true
43.53/43.72	       | ~ zip_tseitin2(sk_Xx1(X2, X1, X0), X2, X1)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.72	             app_encode_app($i, $i, powerset, X0))
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
43.53/43.72	       | X1 = X2
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
43.53/43.72	             app_encode_app($i, $i, powerset, X0))),
43.53/43.72	    inference('sup-', [status(thm)], ['22', '18'])).
43.53/43.72	tff('24', plain,
43.53/43.72	    ![X0, X1, X2]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X2), 
43.53/43.72	           app_encode_app($i, $i, powerset, X0))
43.53/43.72	       | X1 = X2
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X2, X1, X0), X2, X1, X0)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.72	             app_encode_app($i, $i, powerset, X0))
43.53/43.72	       | ~ zip_tseitin2(sk_Xx1(X2, X1, X0), X2, X1)),
43.53/43.72	    inference('simplify', [status(thm)], ['23'])).
43.53/43.72	tff('25', plain,
43.53/43.72	    ![X0, X1, X2]:
43.53/43.72	      (~ $true
43.53/43.72	       | app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X1, X0, X2)), 
43.53/43.72	           X1)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.72	             app_encode_app($i, $i, powerset, X2))
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
43.53/43.72	       | X0 = X1
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.72	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.72	             app_encode_app($i, $i, powerset, X2))),
43.53/43.72	    inference('sup-', [status(thm)], ['21', '24'])).
43.53/43.72	tff('26', plain,
43.53/43.72	    ![X0, X1, X2]:
43.53/43.72	      (~ app_encode_app($i, $o, 
43.53/43.72	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.72	           app_encode_app($i, $i, powerset, X2))
43.53/43.72	       | X0 = X1
43.53/43.72	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
43.53/43.72	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, X2))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx1(X1, X0, X2)), 
43.53/43.73	           X1)),
43.53/43.73	    inference('simplify', [status(thm)], ['25'])).
43.53/43.73	tff('27', plain,
43.53/43.73	    app_encode_app($i, $o, 
43.53/43.73	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Y5), 
43.53/43.73	      app_encode_app($i, $i, powerset, sk_A6)),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.73	tff(zf_stmt_17, axiom,
43.53/43.73	  (demorgan2a <=>
43.53/43.73	   (![A,X]:
43.53/43.73	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.73	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.73	       (![Y]:
43.53/43.73	          (app_encode_app($i,$o,
43.53/43.73	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.73	                          app_encode_app($i,$i,powerset,A)) =>
43.53/43.73	           (![Xx]:
43.53/43.73	              (app_encode_app($i,$o,
43.53/43.73	                              app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.73	                              A) =>
43.53/43.73	               (app_encode_app($i,$o,
43.53/43.73	                               app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.73	                               app_encode_app($i,$i,
43.53/43.73	                                              app_encode_app($i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),setminus,
43.53/43.73	                                                             A),
43.53/43.73	                                              app_encode_app($i,$i,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),binunion,
43.53/43.73	                                                             X),Y))) =>
43.53/43.73	                app_encode_app($i,$o,
43.53/43.73	                               app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.73	                               app_encode_app($i,$i,
43.53/43.73	                                              app_encode_app($i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),
43.53/43.73	                                                             binintersect,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,$i,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),setminus,
43.53/43.73	                                                             A),X)),
43.53/43.73	                                              app_encode_app($i,$i,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),setminus,
43.53/43.73	                                                             A),Y)))))))))))).
43.53/43.73	tff('28', plain,
43.53/43.73	    ![X22, X23, X24, X25]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X22), 
43.53/43.73	           app_encode_app($i, $i, powerset, X23))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X24), X23)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X24), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	                 X22)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	               X25)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X24), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X22), 
43.53/43.73	                 X25)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X25), 
43.53/43.73	             app_encode_app($i, $i, powerset, X23))
43.53/43.73	       | ~ demorgan2a),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_17])).
43.53/43.73	tff('29', plain, demorgan2a, inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.73	tff('30', plain,
43.53/43.73	    ![X22, X23, X24, X25]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X22), 
43.53/43.73	           app_encode_app($i, $i, powerset, X23))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X24), X23)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X24), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	                 X22)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	               X25)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X24), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X22), 
43.53/43.73	                 X25)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X25), 
43.53/43.73	             app_encode_app($i, $i, powerset, X23))
43.53/43.73	       | ~ $true),
43.53/43.73	    inference('demod', [status(thm)], ['28', '29'])).
43.53/43.73	tff('31', plain,
43.53/43.73	    ![X22, X23, X24, X25]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X25), 
43.53/43.73	           app_encode_app($i, $i, powerset, X23))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X24), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X22), 
43.53/43.73	                 X25)))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X24), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	                 X22)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, X23), 
43.53/43.73	               X25)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X24), X23)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X22), 
43.53/43.73	             app_encode_app($i, $i, powerset, X23))),
43.53/43.73	    inference('simplify', [status(thm)], ['30'])).
43.53/43.73	tff('32', plain,
43.53/43.73	    ![X0, X1]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_A6)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)))),
43.53/43.73	    inference('sup-', [status(thm)], ['27', '31'])).
43.53/43.73	tff('33', plain,
43.53/43.73	    ![X0, X1]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['32'])).
43.53/43.73	tff('34', plain,
43.53/43.73	    ![X0, X1, X2]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
43.53/43.73	             app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), X2, X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), X2, X1)
43.53/43.73	       | X2
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx1(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), X2, X1)), sk_A6)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx1(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), X2, X1)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)))),
43.53/43.73	    inference('sup-', [status(thm)], ['26', '33'])).
43.53/43.73	tff('35', plain,
43.53/43.73	    ![X0, X1, X2]:
43.53/43.73	      (app_encode_app($i, $o, 
43.53/43.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	           sk_Xx1(
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), X2, X1)), 
43.53/43.73	         app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx1(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), X2, X1)), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | X2
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), X2, X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), X2, X1)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X2), 
43.53/43.73	             app_encode_app($i, $i, powerset, X1))),
43.53/43.73	    inference('simplify', [status(thm)], ['34'])).
43.53/43.73	tff('36', plain,
43.53/43.73	    ![X13, X14, X16]:
43.53/43.73	      (zip_tseitin2(X16, X14, X13)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X16), X13)),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_6])).
43.53/43.73	tff('37', plain,
43.53/43.73	    ![X0, X1, X2]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx1(X1, X0, X2)), X0)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, X2))
43.53/43.73	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
43.53/43.73	       | X0 = X1
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	             app_encode_app($i, $i, powerset, X2))),
43.53/43.73	    inference('sup-', [status(thm)], ['36', '24'])).
43.53/43.73	tff('38', plain,
43.53/43.73	    ![X0, X1, X2]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, powerset, X2))
43.53/43.73	       | X0 = X1
43.53/43.73	       | ~ zip_tseitin1(sk_Xx(X1, X0, X2), X1, X0, X2)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, X2))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx1(X1, X0, X2)), X0)),
43.53/43.73	    inference('simplify', [status(thm)], ['37'])).
43.53/43.73	tff('39', plain,
43.53/43.73	    ![X0, X1]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), X1)
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx1(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                     app_encode_app($i, $i, 
43.53/43.73	                       app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                         sk_A6), X0)), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), sk_Y5)), X1)), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), X1)
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, X1))),
43.53/43.73	    inference('sup-', [status(thm)], ['35', '38'])).
43.53/43.73	tff('40', plain,
43.53/43.73	    ![X0, X1]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx1(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), X1)), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, X1))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), X1)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), app_encode_app($i, $i, powerset, X1))),
43.53/43.73	    inference('simplify', [status(thm)], ['39'])).
43.53/43.73	tff('41', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), sk_A6)
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), sk_A6)
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['20', '40'])).
43.53/43.73	tff('42', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ zip_tseitin1(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['41'])).
43.53/43.73	tff('43', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ zip_tseitin0(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['13', '42'])).
43.53/43.73	tff('44', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ zip_tseitin0(
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)))),
43.53/43.73	    inference('simplify', [status(thm)], ['43'])).
43.53/43.73	tff('45', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['12', '44'])).
43.53/43.73	tff('46', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)))),
43.53/43.73	    inference('simplify', [status(thm)], ['45'])).
43.53/43.73	tff(zf_stmt_19, axiom,
43.53/43.73	  (demorgan2b <=>
43.53/43.73	   (![A,X]:
43.53/43.73	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,X),
43.53/43.73	                      app_encode_app($i,$i,powerset,A)) =>
43.53/43.73	       (![Y]:
43.53/43.73	          (app_encode_app($i,$o,
43.53/43.73	                          app_encode_app($i,app_encode_fun($i,$o),in,Y),
43.53/43.73	                          app_encode_app($i,$i,powerset,A)) =>
43.53/43.73	           (![Xx]:
43.53/43.73	              (app_encode_app($i,$o,
43.53/43.73	                              app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.73	                              A) =>
43.53/43.73	               (app_encode_app($i,$o,
43.53/43.73	                               app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.73	                               app_encode_app($i,$i,
43.53/43.73	                                              app_encode_app($i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),
43.53/43.73	                                                             binintersect,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,$i,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),setminus,
43.53/43.73	                                                             A),X)),
43.53/43.73	                                              app_encode_app($i,$i,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),setminus,
43.53/43.73	                                                             A),Y))) =>
43.53/43.73	                app_encode_app($i,$o,
43.53/43.73	                               app_encode_app($i,app_encode_fun($i,$o),in,Xx),
43.53/43.73	                               app_encode_app($i,$i,
43.53/43.73	                                              app_encode_app($i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),setminus,
43.53/43.73	                                                             A),
43.53/43.73	                                              app_encode_app($i,$i,
43.53/43.73	                                                             app_encode_app(
43.53/43.73	                                                             $i,
43.53/43.73	                                                             app_encode_fun(
43.53/43.73	                                                             $i,$i),binunion,
43.53/43.73	                                                             X),Y)))))))))))).
43.53/43.73	tff('47', plain,
43.53/43.73	    ![X26, X27, X28, X29]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X26), 
43.53/43.73	           app_encode_app($i, $i, powerset, X27))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X28), X27)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X28), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X26), 
43.53/43.73	               X29)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X28), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	                   X26)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	                 X29)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X29), 
43.53/43.73	             app_encode_app($i, $i, powerset, X27))
43.53/43.73	       | ~ demorgan2b),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_19])).
43.53/43.73	tff('48', plain, demorgan2b, inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.73	tff('49', plain,
43.53/43.73	    ![X26, X27, X28, X29]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X26), 
43.53/43.73	           app_encode_app($i, $i, powerset, X27))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X28), X27)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X28), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X26), 
43.53/43.73	               X29)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X28), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	                   X26)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	                 X29)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X29), 
43.53/43.73	             app_encode_app($i, $i, powerset, X27))
43.53/43.73	       | ~ $true),
43.53/43.73	    inference('demod', [status(thm)], ['47', '48'])).
43.53/43.73	tff('50', plain,
43.53/43.73	    ![X26, X27, X28, X29]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X29), 
43.53/43.73	           app_encode_app($i, $i, powerset, X27))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X28), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	                   X26)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	                 X29)))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X28), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, X27), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X26), 
43.53/43.73	               X29)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X28), X27)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X26), 
43.53/43.73	             app_encode_app($i, $i, powerset, X27))),
43.53/43.73	    inference('simplify', [status(thm)], ['49'])).
43.53/43.73	tff('51', plain,
43.53/43.73	    ![X0, X1]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_A6)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)))),
43.53/43.73	    inference('sup-', [status(thm)], ['27', '50'])).
43.53/43.73	tff('52', plain,
43.53/43.73	    ![X0, X1]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X1), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	               sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X1), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['51'])).
43.53/43.73	tff('53', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                     app_encode_app($i, $i, 
43.53/43.73	                       app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                         sk_A6), X0)), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), sk_Y5)), sk_A6)), sk_A6)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	               sk_Y5)))),
43.53/43.73	    inference('sup-', [status(thm)], ['46', '52'])).
43.53/43.73	tff('54', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (app_encode_app($i, $o, 
43.53/43.73	         app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	           sk_Xx(
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), sk_A6)), 
43.53/43.73	         app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), binunion, X0), sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                     app_encode_app($i, $i, 
43.53/43.73	                       app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                         sk_A6), X0)), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), sk_Y5)), sk_A6)), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['53'])).
43.53/43.73	tff('55', plain,
43.53/43.73	    ![X12, X13, X14]:
43.53/43.73	      (zip_tseitin0(X12, X14, X13)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X12), X14)),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_1])).
43.53/43.73	tff('56', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                     app_encode_app($i, $i, 
43.53/43.73	                       app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                         sk_A6), X0)), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), sk_Y5)), sk_A6)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['55', '44'])).
43.53/43.73	tff('57', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                     app_encode_app($i, $i, 
43.53/43.73	                       app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                         sk_A6), X0)), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), sk_Y5)), sk_A6)), 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)))),
43.53/43.73	    inference('simplify', [status(thm)], ['56'])).
43.53/43.73	tff('58', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), X0)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               sk_Xx(
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                     sk_Y5)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                     app_encode_app($i, $i, 
43.53/43.73	                       app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                         sk_A6), X0)), 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), sk_Y5)), sk_A6)), sk_A6)),
43.53/43.73	    inference('clc', [status(thm)], ['54', '57'])).
43.53/43.73	tff('59', plain,
43.53/43.73	    ![X12, X13, X14, X15]:
43.53/43.73	      (zip_tseitin1(X12, X14, X13, X15)
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X12), X15)),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_2])).
43.53/43.73	tff('60', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6)), sk_A6)
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['59', '42'])).
43.53/43.73	tff('61', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             sk_Xx(
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5)), 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5)), sk_A6)), sk_A6)),
43.53/43.73	    inference('simplify', [status(thm)], ['60'])).
43.53/43.73	tff('62', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                   sk_Y5))), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('clc', [status(thm)], ['58', '61'])).
43.53/43.73	tff('63', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['7', '62'])).
43.53/43.73	tff('64', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	                   app_encode_app($i, $i, 
43.53/43.73	                     app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                       sk_A6), X0)), 
43.53/43.73	                 app_encode_app($i, $i, 
43.53/43.73	                   app_encode_app($i, app_encode_fun($i, $i), setminus, 
43.53/43.73	                     sk_A6), sk_Y5))), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['63'])).
43.53/43.73	tff('65', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['11', '64'])).
43.53/43.73	tff('66', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	                 X0)), app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['65'])).
43.53/43.73	tff('67', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('clc', [status(thm)], ['66', '7'])).
43.53/43.73	tff('68', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Y5), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['7', '67'])).
43.53/43.73	tff('69', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	               app_encode_app($i, $i, 
43.53/43.73	                 app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                 sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('demod', [status(thm)], ['68', '27'])).
43.53/43.73	tff('70', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	               sk_Y5)), app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['69'])).
43.53/43.73	tff('71', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, sk_Y5), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))),
43.53/43.73	    inference('sup-', [status(thm)], ['3', '70'])).
43.53/43.73	tff('72', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | ~ $true
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))
43.53/43.73	       | app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               X0)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	          = app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              app_encode_app($i, $i, 
43.53/43.73	                app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	                sk_Y5))),
43.53/43.73	    inference('demod', [status(thm)], ['71', '27'])).
43.53/43.73	tff('73', plain,
43.53/43.73	    ![X0]:
43.53/43.73	      (app_encode_app($i, $i, 
43.53/43.73	         app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), X0)), 
43.53/43.73	         app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	           sk_Y5))
43.53/43.73	        = app_encode_app($i, $i, 
43.53/43.73	            app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	            app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), binunion, X0), 
43.53/43.73	              sk_Y5))
43.53/43.73	       | ~ app_encode_app($i, $o, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
43.53/43.73	             app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('simplify', [status(thm)], ['72'])).
43.53/43.73	tff('74', plain,
43.53/43.73	    app_encode_app($i, $i, 
43.53/43.73	      app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	      app_encode_app($i, $i, 
43.53/43.73	        app_encode_app($i, app_encode_fun($i, $i), binunion, sk_X6), sk_Y5))
43.53/43.73	     != app_encode_app($i, $i, 
43.53/43.73	          app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	            app_encode_app($i, $i, 
43.53/43.73	              app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	              sk_X6)), 
43.53/43.73	          app_encode_app($i, $i, 
43.53/43.73	            app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	            sk_Y5)),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.73	tff('75', plain,
43.53/43.73	    (app_encode_app($i, $i, 
43.53/43.73	       app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	         app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	           sk_X6)), 
43.53/43.73	       app_encode_app($i, $i, 
43.53/43.73	         app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), sk_Y5))
43.53/43.73	      != app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_X6)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	     | ~ app_encode_app($i, $o, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $o), in, sk_X6), 
43.53/43.73	           app_encode_app($i, $i, powerset, sk_A6))),
43.53/43.73	    inference('sup-', [status(thm)], ['73', '74'])).
43.53/43.73	tff('76', plain,
43.53/43.73	    app_encode_app($i, $o, 
43.53/43.73	      app_encode_app($i, app_encode_fun($i, $o), in, sk_X6), 
43.53/43.73	      app_encode_app($i, $i, powerset, sk_A6)),
43.53/43.73	    inference('cnf', [status(esa)], [zf_stmt_0])).
43.53/43.73	tff('77', plain,
43.53/43.73	    (app_encode_app($i, $i, 
43.53/43.73	       app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	         app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	           sk_X6)), 
43.53/43.73	       app_encode_app($i, $i, 
43.53/43.73	         app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), sk_Y5))
43.53/43.73	      != app_encode_app($i, $i, 
43.53/43.73	           app_encode_app($i, app_encode_fun($i, $i), binintersect, 
43.53/43.73	             app_encode_app($i, $i, 
43.53/43.73	               app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	               sk_X6)), 
43.53/43.73	           app_encode_app($i, $i, 
43.53/43.73	             app_encode_app($i, app_encode_fun($i, $i), setminus, sk_A6), 
43.53/43.73	             sk_Y5))
43.53/43.73	     | ~ $true),
43.53/43.73	    inference('demod', [status(thm)], ['75', '76'])).
43.53/43.73	tff('78', plain, $false, inference('simplify', [status(thm)], ['77'])).
43.53/43.73	
43.53/43.73	% SZS output end Refutation
43.53/43.73	EOF
