0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n187.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:35:23 CST 2018
8.11/8.29	% done 4221 iterations in 8.086s
8.11/8.29	% SZS status Theorem for 'stdin'
8.11/8.29	% SZS output start Refutation
8.11/8.30	tff(zf_stmt_7, conjecture,
8.11/8.30	  (((![Xx]:
8.11/8.30	       app_encode_app($i,$o,
8.11/8.30	                      app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                     app_encode_app($i,
8.11/8.30	                                                    app_encode_fun($i,
8.11/8.30	                                                                   app_encode_fun(
8.11/8.30	                                                                   $i,$o)),
8.11/8.30	                                                    cP,e),
8.11/8.30	                                     Xx),
8.11/8.30	                      Xx)) & 
8.11/8.30	    (![Xy]:
8.11/8.30	       app_encode_app($i,$o,
8.11/8.30	                      app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                     app_encode_app($i,
8.11/8.30	                                                    app_encode_fun($i,
8.11/8.30	                                                                   app_encode_fun(
8.11/8.30	                                                                   $i,$o)),
8.11/8.30	                                                    cP,Xy),
8.11/8.30	                                     e),
8.11/8.30	                      Xy)) & 
8.11/8.30	    (![Xz]:
8.11/8.30	       app_encode_app($i,$o,
8.11/8.30	                      app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                     app_encode_app($i,
8.11/8.30	                                                    app_encode_fun($i,
8.11/8.30	                                                                   app_encode_fun(
8.11/8.30	                                                                   $i,$o)),
8.11/8.30	                                                    cP,Xz),
8.11/8.30	                                     Xz),
8.11/8.30	                      e)) & 
8.11/8.30	    (![Xx,Xy,Xz,Xxy,Xyz,Xxyz]:
8.11/8.30	       ((app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,Xx),
8.11/8.30	                                       Xy),
8.11/8.30	                        Xxy) & 
8.11/8.30	         app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,Xy),
8.11/8.30	                                       Xz),
8.11/8.30	                        Xyz)) =>
8.11/8.30	        (app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,Xxy),
8.11/8.30	                                       Xz),
8.11/8.30	                        Xxyz) <=>
8.11/8.30	         app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,Xx),
8.11/8.30	                                       Xyz),
8.11/8.30	                        Xxyz))))) =>
8.11/8.30	   (app_encode_app($i,$o,
8.11/8.30	                   app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                  app_encode_app($i,
8.11/8.30	                                                 app_encode_fun($i,
8.11/8.30	                                                                app_encode_fun(
8.11/8.30	                                                                $i,$o)),
8.11/8.30	                                                 cP,a),
8.11/8.30	                                  b),
8.11/8.30	                   ab) =>
8.11/8.30	    app_encode_app($i,$o,
8.11/8.30	                   app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                  app_encode_app($i,
8.11/8.30	                                                 app_encode_fun($i,
8.11/8.30	                                                                app_encode_fun(
8.11/8.30	                                                                $i,$o)),
8.11/8.30	                                                 cP,b),
8.11/8.30	                                  a),
8.11/8.30	                   ab)))).
8.11/8.30	tff(zf_stmt_0, negated_conjecture,
8.11/8.30	  (~
8.11/8.30	    (((![Xx]:
8.11/8.30	         app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,e),
8.11/8.30	                                       Xx),
8.11/8.30	                        Xx)) & 
8.11/8.30	      (![Xy]:
8.11/8.30	         app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,Xy),
8.11/8.30	                                       e),
8.11/8.30	                        Xy)) & 
8.11/8.30	      (![Xz]:
8.11/8.30	         app_encode_app($i,$o,
8.11/8.30	                        app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                       app_encode_app($i,
8.11/8.30	                                                      app_encode_fun(
8.11/8.30	                                                      $i,
8.11/8.30	                                                      app_encode_fun($i,$o)),
8.11/8.30	                                                      cP,Xz),
8.11/8.30	                                       Xz),
8.11/8.30	                        e)) & 
8.11/8.30	      (![Xx,Xy,Xz,Xxy,Xyz,Xxyz]:
8.11/8.30	         ((app_encode_app($i,$o,
8.11/8.30	                          app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                         app_encode_app($i,
8.11/8.30	                                                        app_encode_fun(
8.11/8.30	                                                        $i,
8.11/8.30	                                                        app_encode_fun($i,$o)),
8.11/8.30	                                                        cP,Xx),
8.11/8.30	                                         Xy),
8.11/8.30	                          Xxy) & 
8.11/8.30	           app_encode_app($i,$o,
8.11/8.30	                          app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                         app_encode_app($i,
8.11/8.30	                                                        app_encode_fun(
8.11/8.30	                                                        $i,
8.11/8.30	                                                        app_encode_fun($i,$o)),
8.11/8.30	                                                        cP,Xy),
8.11/8.30	                                         Xz),
8.11/8.30	                          Xyz)) =>
8.11/8.30	          (app_encode_app($i,$o,
8.11/8.30	                          app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                         app_encode_app($i,
8.11/8.30	                                                        app_encode_fun(
8.11/8.30	                                                        $i,
8.11/8.30	                                                        app_encode_fun($i,$o)),
8.11/8.30	                                                        cP,Xxy),
8.11/8.30	                                         Xz),
8.11/8.30	                          Xxyz) <=>
8.11/8.30	           app_encode_app($i,$o,
8.11/8.30	                          app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                         app_encode_app($i,
8.11/8.30	                                                        app_encode_fun(
8.11/8.30	                                                        $i,
8.11/8.30	                                                        app_encode_fun($i,$o)),
8.11/8.30	                                                        cP,Xx),
8.11/8.30	                                         Xyz),
8.11/8.30	                          Xxyz))))) =>
8.11/8.30	     (app_encode_app($i,$o,
8.11/8.30	                     app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                    app_encode_app($i,
8.11/8.30	                                                   app_encode_fun($i,
8.11/8.30	                                                                  app_encode_fun(
8.11/8.30	                                                                  $i,$o)),
8.11/8.30	                                                   cP,a),
8.11/8.30	                                    b),
8.11/8.30	                     ab) =>
8.11/8.30	      app_encode_app($i,$o,
8.11/8.30	                     app_encode_app($i,app_encode_fun($i,$o),
8.11/8.30	                                    app_encode_app($i,
8.11/8.30	                                                   app_encode_fun($i,
8.11/8.30	                                                                  app_encode_fun(
8.11/8.30	                                                                  $i,$o)),
8.11/8.30	                                                   cP,b),
8.11/8.30	                                    a),
8.11/8.30	                     ab))))).
8.11/8.30	tff('0', plain,
8.11/8.30	    ![X1]:
8.11/8.30	      app_encode_app($i, $o, 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
8.11/8.30	            X1), e), X1),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('1', plain,
8.11/8.30	    ![X2]:
8.11/8.30	      app_encode_app($i, $o, 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
8.11/8.30	            X2), X2), e),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('2', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      app_encode_app($i, $o, 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
8.11/8.30	            e), X0), X0),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('3', plain,
8.11/8.30	    app_encode_app($i, $o, 
8.11/8.30	      app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, a), 
8.11/8.30	        b), ab),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('4', plain,
8.11/8.30	    ![X3, X4, X5, X6, X7, X8]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X4), X5)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X6), X3), 
8.11/8.30	             X7)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X6), X5), X8)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X7), X4), 
8.11/8.30	             X8)),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('5', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), a), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['3', '4'])).
8.11/8.30	tff('6', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), a), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['5'])).
8.11/8.30	tff('7', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), b), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), ab), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['1', '6'])).
8.11/8.30	tff('8', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, a), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), b), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['7'])).
8.11/8.30	tff('9', plain,
8.11/8.30	    (~ $true
8.11/8.30	     | app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, a), ab), b)),
8.11/8.30	    inference('sup-', [status(thm)], ['2', '8'])).
8.11/8.30	tff('10', plain,
8.11/8.30	    app_encode_app($i, $o, 
8.11/8.30	      app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, a), 
8.11/8.30	        ab), b),
8.11/8.30	    inference('simplify', [status(thm)], ['9'])).
8.11/8.30	tff('11', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), ab), 
8.11/8.30	             X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), b), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), a), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['10', '4'])).
8.11/8.30	tff('12', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), a), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), b), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), ab), 
8.11/8.30	             X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['11'])).
8.11/8.30	tff('13', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), b), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['1', '12'])).
8.11/8.30	tff('14', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, a), b), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['13'])).
8.11/8.30	tff('15', plain,
8.11/8.30	    ![X3, X4, X5, X6, X7, X8]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X4), X5)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X6), X3), 
8.11/8.30	             X7)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X7), X4), X8)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X6), X5), 
8.11/8.30	             X8)),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('16', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
8.11/8.30	             X3)),
8.11/8.30	    inference('sup-', [status(thm)], ['1', '15'])).
8.11/8.30	tff('17', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), X0), X3)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)),
8.11/8.30	    inference('simplify', [status(thm)], ['16'])).
8.11/8.30	tff('18', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X0), b), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['14', '17'])).
8.11/8.30	tff('19', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, X0), b), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['18'])).
8.11/8.30	tff('20', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, e), b), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['2', '12'])).
8.11/8.30	tff('21', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, e), b), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['20'])).
8.11/8.30	tff('22', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
8.11/8.30	             X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X0), 
8.11/8.30	             X2)),
8.11/8.30	    inference('sup-', [status(thm)], ['1', '4'])).
8.11/8.30	tff('23', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X2)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), X0), 
8.11/8.30	             X1)),
8.11/8.30	    inference('simplify', [status(thm)], ['22'])).
8.11/8.30	tff('24', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), X0), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X0), e), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['1', '23'])).
8.11/8.30	tff('25', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, X0), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), X0), X1)),
8.11/8.30	    inference('simplify', [status(thm)], ['24'])).
8.11/8.30	tff('26', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, b), e), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['21', '25'])).
8.11/8.30	tff('27', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), e), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['26'])).
8.11/8.30	tff('28', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), b), X2)),
8.11/8.30	    inference('sup-', [status(thm)], ['27', '4'])).
8.11/8.30	tff('29', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), b), X2)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['28'])).
8.11/8.30	tff('30', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, b), X0), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['1', '29'])).
8.11/8.30	tff('31', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['30'])).
8.11/8.30	tff('32', plain,
8.11/8.30	    ![X0, X1, X2, X3, X4]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X1), 
8.11/8.30	             X2)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X4), X0), X2)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X4), b), X3)),
8.11/8.30	    inference('sup-', [status(thm)], ['31', '4'])).
8.11/8.30	tff('33', plain,
8.11/8.30	    ![X0, X1, X2, X3, X4]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X4), b), X3)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X4), X0), X2)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X1), 
8.11/8.30	             X2)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X1)),
8.11/8.30	    inference('simplify', [status(thm)], ['32'])).
8.11/8.30	tff('34', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, ab), X0), 
8.11/8.30	             X2)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), X1), X2)),
8.11/8.30	    inference('sup-', [status(thm)], ['3', '33'])).
8.11/8.30	tff('35', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, a), X1), X2)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, ab), X0), 
8.11/8.30	             X2)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['34'])).
8.11/8.30	tff('36', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), ab), ab)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), ab), b)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), X1), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['19', '35'])).
8.11/8.30	tff('37', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
8.11/8.30	       | ~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), X1), X0)),
8.11/8.30	    inference('demod', [status(thm)], ['36', '2', '10'])).
8.11/8.30	tff('38', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, a), X1), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['37'])).
8.11/8.30	tff('39', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), X0), a)),
8.11/8.30	    inference('sup-', [status(thm)], ['0', '38'])).
8.11/8.30	tff('40', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, a), X0), a)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, e), e), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['39'])).
8.11/8.30	tff('41', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, b), ab), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['10', '17'])).
8.11/8.30	tff('42', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), ab), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['41'])).
8.11/8.30	tff('43', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X3), X0), 
8.11/8.30	             X2)),
8.11/8.30	    inference('sup-', [status(thm)], ['0', '4'])).
8.11/8.30	tff('44', plain,
8.11/8.30	    ![X0, X1, X2, X3]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X2)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X3), X0), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), e), X1)),
8.11/8.30	    inference('simplify', [status(thm)], ['43'])).
8.11/8.30	tff('45', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, b), ab), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['42', '44'])).
8.11/8.30	tff('46', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), ab), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['45'])).
8.11/8.30	tff('47', plain,
8.11/8.30	    (~ $true
8.11/8.30	     | ~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, e), e), e)
8.11/8.30	     | ~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), e), a)
8.11/8.30	     | app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), ab), a)),
8.11/8.30	    inference('sup-', [status(thm)], ['40', '46'])).
8.11/8.30	tff('48', plain,
8.11/8.30	    (~ $true
8.11/8.30	     | ~ $true
8.11/8.30	     | ~ $true
8.11/8.30	     | app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), ab), a)),
8.11/8.30	    inference('demod', [status(thm)], ['47', '2', '0'])).
8.11/8.30	tff('49', plain,
8.11/8.30	    app_encode_app($i, $o, 
8.11/8.30	      app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, b), 
8.11/8.30	        ab), a),
8.11/8.30	    inference('simplify', [status(thm)], ['48'])).
8.11/8.30	tff('50', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, ab), b), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['3', '17'])).
8.11/8.30	tff('51', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, ab), b), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['50'])).
8.11/8.30	tff('52', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, ab), b), X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['51', '44'])).
8.11/8.30	tff('53', plain,
8.11/8.30	    ![X0, X1]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, ab), b), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X0), e), X1)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), e), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['52'])).
8.11/8.30	tff('54', plain,
8.11/8.30	    (~ $true
8.11/8.30	     | ~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, e), e), e)
8.11/8.30	     | ~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), e), a)
8.11/8.30	     | app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, ab), b), a)),
8.11/8.30	    inference('sup-', [status(thm)], ['40', '53'])).
8.11/8.30	tff('55', plain,
8.11/8.30	    (~ $true
8.11/8.30	     | ~ $true
8.11/8.30	     | ~ $true
8.11/8.30	     | app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, ab), b), a)),
8.11/8.30	    inference('demod', [status(thm)], ['54', '2', '0'])).
8.11/8.30	tff('56', plain,
8.11/8.30	    app_encode_app($i, $o, 
8.11/8.30	      app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
8.11/8.30	          ab), b), a),
8.11/8.30	    inference('simplify', [status(thm)], ['55'])).
8.11/8.30	tff('57', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), a), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X2), ab), 
8.11/8.30	             X1)),
8.11/8.30	    inference('sup-', [status(thm)], ['56', '4'])).
8.11/8.30	tff('58', plain,
8.11/8.30	    ![X0, X1, X2]:
8.11/8.30	      (~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), ab), X1)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, X2), a), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, X1), b), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['57'])).
8.11/8.30	tff('59', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (~ $true
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), b), X0)
8.11/8.30	       | app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, b), a), X0)),
8.11/8.30	    inference('sup-', [status(thm)], ['49', '58'])).
8.11/8.30	tff('60', plain,
8.11/8.30	    ![X0]:
8.11/8.30	      (app_encode_app($i, $o, 
8.11/8.30	         app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	             cP, b), a), X0)
8.11/8.30	       | ~ app_encode_app($i, $o, 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	               app_encode_app($i, 
8.11/8.30	                 app_encode_fun($i, app_encode_fun($i, $o)), cP, a), b), X0)),
8.11/8.30	    inference('simplify', [status(thm)], ['59'])).
8.11/8.30	tff('61', plain,
8.11/8.30	    ~ app_encode_app($i, $o, 
8.11/8.30	        app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	          app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cP, 
8.11/8.30	            b), a), ab),
8.11/8.30	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.11/8.30	tff('62', plain,
8.11/8.30	    (~ $true
8.11/8.30	     | ~ app_encode_app($i, $o, 
8.11/8.30	           app_encode_app($i, app_encode_fun($i, $o), 
8.11/8.30	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
8.11/8.30	               cP, a), b), ab)),
8.11/8.30	    inference('sup-', [status(thm)], ['60', '61'])).
8.11/8.30	tff('63', plain, (~ $true | ~ $true),
8.11/8.30	    inference('demod', [status(thm)], ['62', '3'])).
8.11/8.30	tff('64', plain, $false, inference('simplify', [status(thm)], ['63'])).
8.11/8.30	
8.11/8.30	% SZS output end Refutation
8.11/8.30	EOF
