0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n095.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 16:34:25 CST 2018
4.86/5.10	% done 2097 iterations in 4.900s
4.86/5.10	% SZS status Theorem for 'stdin'
4.86/5.10	% SZS output start Refutation
4.93/5.11	tff(zf_stmt_20, conjecture,
4.93/5.11	  (~
4.93/5.11	    (app_encode_app($i,$o,
4.93/5.11	                    app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                   app_encode_app($i,
4.93/5.11	                                                  app_encode_fun($i,
4.93/5.11	                                                                 app_encode_fun(
4.93/5.11	                                                                 $i,$o)),
4.93/5.11	                                                  cQ_1,a),
4.93/5.11	                                   b),
4.93/5.11	                    c) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,a),a) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,b),b) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,c),c) & 
4.93/5.11	     (![Xx]:
4.93/5.11	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,d),
4.93/5.11	                       Xx)) & 
4.93/5.11	     (![Xx,Xy]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_1,Xx),Xy)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xy))) & 
4.93/5.11	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                         app_encode_app($i,
4.93/5.11	                                                        app_encode_fun(
4.93/5.11	                                                        $i,
4.93/5.11	                                                        app_encode_fun($i,$o)),
4.93/5.11	                                                        cQ_1,Xx),
4.93/5.11	                                         Xy),
4.93/5.11	                          Xz)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                         app_encode_app($i,$i,f,Xx)),
4.93/5.11	                          Xu)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                         app_encode_app($i,$i,f,Xy)),
4.93/5.11	                          Xv)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                         app_encode_app($i,$i,f,Xz)),
4.93/5.11	                          Xw)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_2,Xu),
4.93/5.11	                                       Xv),
4.93/5.11	                        Xw))) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,a),a) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,b),b) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,c),c) & 
4.93/5.11	     (![Xx]:
4.93/5.11	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,d),
4.93/5.11	                       Xx)) & 
4.93/5.11	     (![Xx,Xy]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_2,Xx),Xy)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xy))) & 
4.93/5.11	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                         app_encode_app($i,
4.93/5.11	                                                        app_encode_fun(
4.93/5.11	                                                        $i,
4.93/5.11	                                                        app_encode_fun($i,$o)),
4.93/5.11	                                                        cQ_2,Xx),
4.93/5.11	                                         Xy),
4.93/5.11	                          Xz)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                         app_encode_app($i,$i,f,Xx)),
4.93/5.11	                          Xu)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                         app_encode_app($i,$i,f,Xy)),
4.93/5.11	                          Xv)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                         app_encode_app($i,$i,f,Xz)),
4.93/5.11	                          Xw)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_3,Xu),
4.93/5.11	                                       Xv),
4.93/5.11	                        Xw))) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,a),a) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,b),b) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,c),c) & 
4.93/5.11	     (![Xx]:
4.93/5.11	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,d),
4.93/5.11	                       Xx)) & 
4.93/5.11	     (![Xx,Xy]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_3,Xx),Xy)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xy))) & 
4.93/5.11	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                         app_encode_app($i,
4.93/5.11	                                                        app_encode_fun(
4.93/5.11	                                                        $i,
4.93/5.11	                                                        app_encode_fun($i,$o)),
4.93/5.11	                                                        cQ_3,Xx),
4.93/5.11	                                         Xy),
4.93/5.11	                          Xz)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                         app_encode_app($i,$i,f,Xx)),
4.93/5.11	                          Xu)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                         app_encode_app($i,$i,f,Xy)),
4.93/5.11	                          Xv)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                         app_encode_app($i,$i,f,Xz)),
4.93/5.11	                          Xw)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_4,Xu),
4.93/5.11	                                       Xv),
4.93/5.11	                        Xw))) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,a),a) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,b),b) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,c),c) & 
4.93/5.11	     (![Xx]:
4.93/5.11	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,d),
4.93/5.11	                       Xx)) & 
4.93/5.11	     (![Xx,Xy]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_4,Xx),Xy)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xy))) & 
4.93/5.11	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                         app_encode_app($i,
4.93/5.11	                                                        app_encode_fun(
4.93/5.11	                                                        $i,
4.93/5.11	                                                        app_encode_fun($i,$o)),
4.93/5.11	                                                        cQ_4,Xx),
4.93/5.11	                                         Xy),
4.93/5.11	                          Xz)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                         app_encode_app($i,$i,f,Xx)),
4.93/5.11	                          Xu)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                         app_encode_app($i,$i,f,Xy)),
4.93/5.11	                          Xv)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                         app_encode_app($i,$i,f,Xz)),
4.93/5.11	                          Xw)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_5,Xu),
4.93/5.11	                                       Xv),
4.93/5.11	                        Xw))) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,a),a) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,b),b) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,c),c) & 
4.93/5.11	     (![Xx]:
4.93/5.11	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,d),
4.93/5.11	                       Xx)) & 
4.93/5.11	     (![Xx,Xy]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_5,Xx),Xy)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xy))) & 
4.93/5.11	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                         app_encode_app($i,
4.93/5.11	                                                        app_encode_fun(
4.93/5.11	                                                        $i,
4.93/5.11	                                                        app_encode_fun($i,$o)),
4.93/5.11	                                                        cQ_5,Xx),
4.93/5.11	                                         Xy),
4.93/5.11	                          Xz)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                         app_encode_app($i,$i,f,Xx)),
4.93/5.11	                          Xu)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                         app_encode_app($i,$i,f,Xy)),
4.93/5.11	                          Xv)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                         app_encode_app($i,$i,f,Xz)),
4.93/5.11	                          Xw)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_6,Xu),
4.93/5.11	                                       Xv),
4.93/5.11	                        Xw))) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,a),a) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,b),b) & 
4.93/5.11	     app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,c),c) & 
4.93/5.11	     (![Xx]:
4.93/5.11	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,d),
4.93/5.11	                       Xx)) & 
4.93/5.11	     (![Xx,Xy]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_6,Xx),Xy)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xy))) & 
4.93/5.11	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	        ((~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                         app_encode_app($i,
4.93/5.11	                                                        app_encode_fun(
4.93/5.11	                                                        $i,
4.93/5.11	                                                        app_encode_fun($i,$o)),
4.93/5.11	                                                        cQ_6,Xx),
4.93/5.11	                                         Xy),
4.93/5.11	                          Xz)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                         app_encode_app($i,$i,f,Xx)),
4.93/5.11	                          Xu)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                         app_encode_app($i,$i,f,Xy)),
4.93/5.11	                          Xv)) | 
4.93/5.11	         (~
4.93/5.11	           app_encode_app($i,$o,
4.93/5.11	                          app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                         app_encode_app($i,$i,f,Xz)),
4.93/5.11	                          Xw)) | 
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_7,Xu),
4.93/5.11	                                       Xv),
4.93/5.11	                        Xw))) & 
4.93/5.11	     (![Xx,Xy,Xz]:
4.93/5.11	        (~
4.93/5.11	          app_encode_app($i,$o,
4.93/5.11	                         app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                        app_encode_app($i,
4.93/5.11	                                                       app_encode_fun(
4.93/5.11	                                                       $i,
4.93/5.11	                                                       app_encode_fun($i,$o)),
4.93/5.11	                                                       cQ_7,Xx),
4.93/5.11	                                        Xy),
4.93/5.11	                         Xz)))))).
4.93/5.11	tff(zf_stmt_0, negated_conjecture,
4.93/5.11	  (app_encode_app($i,$o,
4.93/5.11	                  app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                 app_encode_app($i,
4.93/5.11	                                                app_encode_fun($i,
4.93/5.11	                                                               app_encode_fun(
4.93/5.11	                                                               $i,$o)),
4.93/5.11	                                                cQ_1,a),
4.93/5.11	                                 b),
4.93/5.11	                  c) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,a),a) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,b),b) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,c),c) & 
4.93/5.11	   (![Xx]:
4.93/5.11	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_1,d),Xx)) & 
4.93/5.11	   (![Xx,Xy]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_1,Xx),Xy)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                     app_encode_app($i,$i,f,Xx)),
4.93/5.11	                      Xy))) & 
4.93/5.11	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_1,Xx),
4.93/5.11	                                       Xy),
4.93/5.11	                        Xz)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xu)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                       app_encode_app($i,$i,f,Xy)),
4.93/5.11	                        Xv)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_1,
4.93/5.11	                                       app_encode_app($i,$i,f,Xz)),
4.93/5.11	                        Xw)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                     app_encode_app($i,
4.93/5.11	                                                    app_encode_fun($i,
4.93/5.11	                                                                   app_encode_fun(
4.93/5.11	                                                                   $i,$o)),
4.93/5.11	                                                    cQ_2,Xu),
4.93/5.11	                                     Xv),
4.93/5.11	                      Xw))) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,a),a) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,b),b) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,c),c) & 
4.93/5.11	   (![Xx]:
4.93/5.11	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_2,d),Xx)) & 
4.93/5.11	   (![Xx,Xy]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_2,Xx),Xy)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                     app_encode_app($i,$i,f,Xx)),
4.93/5.11	                      Xy))) & 
4.93/5.11	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_2,Xx),
4.93/5.11	                                       Xy),
4.93/5.11	                        Xz)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xu)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                       app_encode_app($i,$i,f,Xy)),
4.93/5.11	                        Xv)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_2,
4.93/5.11	                                       app_encode_app($i,$i,f,Xz)),
4.93/5.11	                        Xw)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                     app_encode_app($i,
4.93/5.11	                                                    app_encode_fun($i,
4.93/5.11	                                                                   app_encode_fun(
4.93/5.11	                                                                   $i,$o)),
4.93/5.11	                                                    cQ_3,Xu),
4.93/5.11	                                     Xv),
4.93/5.11	                      Xw))) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,a),a) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,b),b) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,c),c) & 
4.93/5.11	   (![Xx]:
4.93/5.11	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_3,d),Xx)) & 
4.93/5.11	   (![Xx,Xy]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_3,Xx),Xy)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                     app_encode_app($i,$i,f,Xx)),
4.93/5.11	                      Xy))) & 
4.93/5.11	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_3,Xx),
4.93/5.11	                                       Xy),
4.93/5.11	                        Xz)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xu)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                       app_encode_app($i,$i,f,Xy)),
4.93/5.11	                        Xv)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_3,
4.93/5.11	                                       app_encode_app($i,$i,f,Xz)),
4.93/5.11	                        Xw)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                     app_encode_app($i,
4.93/5.11	                                                    app_encode_fun($i,
4.93/5.11	                                                                   app_encode_fun(
4.93/5.11	                                                                   $i,$o)),
4.93/5.11	                                                    cQ_4,Xu),
4.93/5.11	                                     Xv),
4.93/5.11	                      Xw))) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,a),a) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,b),b) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,c),c) & 
4.93/5.11	   (![Xx]:
4.93/5.11	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_4,d),Xx)) & 
4.93/5.11	   (![Xx,Xy]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_4,Xx),Xy)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                     app_encode_app($i,$i,f,Xx)),
4.93/5.11	                      Xy))) & 
4.93/5.11	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_4,Xx),
4.93/5.11	                                       Xy),
4.93/5.11	                        Xz)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xu)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                       app_encode_app($i,$i,f,Xy)),
4.93/5.11	                        Xv)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_4,
4.93/5.11	                                       app_encode_app($i,$i,f,Xz)),
4.93/5.11	                        Xw)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                     app_encode_app($i,
4.93/5.11	                                                    app_encode_fun($i,
4.93/5.11	                                                                   app_encode_fun(
4.93/5.11	                                                                   $i,$o)),
4.93/5.11	                                                    cQ_5,Xu),
4.93/5.11	                                     Xv),
4.93/5.11	                      Xw))) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,a),a) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,b),b) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,c),c) & 
4.93/5.11	   (![Xx]:
4.93/5.11	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_5,d),Xx)) & 
4.93/5.11	   (![Xx,Xy]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_5,Xx),Xy)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                     app_encode_app($i,$i,f,Xx)),
4.93/5.11	                      Xy))) & 
4.93/5.11	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_5,Xx),
4.93/5.11	                                       Xy),
4.93/5.11	                        Xz)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xu)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                       app_encode_app($i,$i,f,Xy)),
4.93/5.11	                        Xv)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_5,
4.93/5.11	                                       app_encode_app($i,$i,f,Xz)),
4.93/5.11	                        Xw)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                     app_encode_app($i,
4.93/5.11	                                                    app_encode_fun($i,
4.93/5.11	                                                                   app_encode_fun(
4.93/5.11	                                                                   $i,$o)),
4.93/5.11	                                                    cQ_6,Xu),
4.93/5.11	                                     Xv),
4.93/5.11	                      Xw))) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,a),a) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,b),b) & 
4.93/5.11	   app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,c),c) & 
4.93/5.11	   (![Xx]:
4.93/5.11	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),cP_6,d),Xx)) & 
4.93/5.11	   (![Xx,Xy]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_6,Xx),Xy)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                     app_encode_app($i,$i,f,Xx)),
4.93/5.11	                      Xy))) & 
4.93/5.11	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
4.93/5.11	      ((~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                       app_encode_app($i,
4.93/5.11	                                                      app_encode_fun(
4.93/5.11	                                                      $i,
4.93/5.11	                                                      app_encode_fun($i,$o)),
4.93/5.11	                                                      cQ_6,Xx),
4.93/5.11	                                       Xy),
4.93/5.11	                        Xz)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                       app_encode_app($i,$i,f,Xx)),
4.93/5.11	                        Xu)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                       app_encode_app($i,$i,f,Xy)),
4.93/5.11	                        Xv)) | 
4.93/5.11	       (~
4.93/5.11	         app_encode_app($i,$o,
4.93/5.11	                        app_encode_app($i,app_encode_fun($i,$o),cP_6,
4.93/5.11	                                       app_encode_app($i,$i,f,Xz)),
4.93/5.11	                        Xw)) | 
4.93/5.11	       app_encode_app($i,$o,
4.93/5.11	                      app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                     app_encode_app($i,
4.93/5.11	                                                    app_encode_fun($i,
4.93/5.11	                                                                   app_encode_fun(
4.93/5.11	                                                                   $i,$o)),
4.93/5.11	                                                    cQ_7,Xu),
4.93/5.11	                                     Xv),
4.93/5.11	                      Xw))) & 
4.93/5.11	   (![Xx,Xy,Xz]:
4.93/5.11	      (~
4.93/5.11	        app_encode_app($i,$o,
4.93/5.11	                       app_encode_app($i,app_encode_fun($i,$o),
4.93/5.11	                                      app_encode_app($i,
4.93/5.11	                                                     app_encode_fun($i,
4.93/5.11	                                                                    app_encode_fun(
4.93/5.11	                                                                    $i,$o)),
4.93/5.11	                                                     cQ_7,Xx),
4.93/5.11	                                      Xy),
4.93/5.11	                       Xz))))).
4.93/5.11	tff('0', plain,
4.93/5.11	    ![X18, X19]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_5, X18), X19)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.11	             app_encode_app($i, $i, f, X18)), X19)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('1', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_6, a), a),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('2', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_6, b), b),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('3', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_6, c), c),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('4', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_4, c), c),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('5', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_4, b), b),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('6', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_4, a), a),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('7', plain,
4.93/5.11	    ![X36, X37]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_3, X36), X37)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.11	             app_encode_app($i, $i, f, X36)), X37)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('8', plain,
4.93/5.11	    ![X27, X28]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_4, X27), X28)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.11	             app_encode_app($i, $i, f, X27)), X28)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('9', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_2, c), c),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('10', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_2, b), b),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('11', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_2, a), a),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('12', plain,
4.93/5.11	    ![X54, X55]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_1, X54), X55)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	             app_encode_app($i, $i, f, X54)), X55)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('13', plain,
4.93/5.11	    ![X45, X46]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_2, X45), X46)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	             app_encode_app($i, $i, f, X45)), X46)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('14', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cQ_1, 
4.93/5.11	          a), b), c),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('15', plain,
4.93/5.11	    ![X48, X49, X50, X51, X52, X53]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_1, X48), X49), X50)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, X48)), X51)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, X49)), X52)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_2, X51), X52), X53)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, X50)), X53)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('16', plain,
4.93/5.11	    ![X0, X1, X2]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X0)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_2, X2), X1), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X2)),
4.93/5.11	    inference('sup-', [status(thm)], ['14', '15'])).
4.93/5.11	tff('17', plain,
4.93/5.11	    ![X0, X1, X2]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	             app_encode_app($i, $i, f, a)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X1)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_2, X2), X1), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['16'])).
4.93/5.11	tff('18', plain,
4.93/5.11	    ![X39, X40, X41, X42, X43, X44]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_2, X39), X40), X41)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X39)), X42)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X40)), X43)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X42), X43), X44)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X41)), X44)),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('19', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X0)), X3)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X5), X4), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X1)), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X2)), X5)),
4.93/5.11	    inference('sup-', [status(thm)], ['17', '18'])).
4.93/5.11	tff('20', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	             app_encode_app($i, $i, f, X2)), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X1)), X4)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X5), X4), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X0)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['19'])).
4.93/5.11	tff('21', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X2)), X4)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X0), X5), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X3)), X5)),
4.93/5.11	    inference('sup-', [status(thm)], ['13', '20'])).
4.93/5.11	tff('22', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	             app_encode_app($i, $i, f, X3)), X5)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X0), X5), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X2)), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['21'])).
4.93/5.11	tff('23', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X4)), X5)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X2), X0), X5)),
4.93/5.11	    inference('sup-', [status(thm)], ['13', '22'])).
4.93/5.11	tff('24', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (app_encode_app($i, $o, 
4.93/5.11	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	             cQ_3, X2), X0), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, 
4.93/5.11	               app_encode_app($i, $i, f, X4)), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['23'])).
4.93/5.11	tff('25', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X5), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X5)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X4), X2), X0)),
4.93/5.11	    inference('sup-', [status(thm)], ['13', '24'])).
4.93/5.11	tff('26', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (app_encode_app($i, $o, 
4.93/5.11	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	             cQ_3, X4), X2), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, a)), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X5), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['25'])).
4.93/5.11	tff('27', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X2), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X4), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X4)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X5), X3), X1)),
4.93/5.11	    inference('sup-', [status(thm)], ['12', '26'])).
4.93/5.11	tff('28', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (app_encode_app($i, $o, 
4.93/5.11	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	             cQ_3, X5), X3), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, b)), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X4), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X2), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['27'])).
4.93/5.11	tff('29', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X3)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X5), X4), X2)),
4.93/5.11	    inference('sup-', [status(thm)], ['12', '28'])).
4.93/5.11	tff('30', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (app_encode_app($i, $o, 
4.93/5.11	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	             cQ_3, X5), X4), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, 
4.93/5.11	               app_encode_app($i, $i, f, c)), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['29'])).
4.93/5.11	tff('31', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X2), X5)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, X5), X4), X3)),
4.93/5.11	    inference('sup-', [status(thm)], ['12', '30'])).
4.93/5.11	tff('32', plain,
4.93/5.11	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.11	      (app_encode_app($i, $o, 
4.93/5.11	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	             cQ_3, X5), X4), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X2), X5)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X4)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['31'])).
4.93/5.11	tff('33', plain,
4.93/5.11	    ![X0, X1, X2, X3]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, a), a)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X3)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, a), X3), X2)),
4.93/5.11	    inference('sup-', [status(thm)], ['11', '32'])).
4.93/5.11	tff('34', plain,
4.93/5.11	    app_encode_app($i, $o, 
4.93/5.11	      app_encode_app($i, app_encode_fun($i, $o), cP_1, a), a),
4.93/5.11	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.11	tff('35', plain,
4.93/5.11	    ![X0, X1, X2, X3]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X1)
4.93/5.11	       | ~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X3)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	               cQ_3, a), X3), X2)),
4.93/5.11	    inference('demod', [status(thm)], ['33', '34'])).
4.93/5.11	tff('36', plain,
4.93/5.11	    ![X0, X1, X2, X3]:
4.93/5.11	      (app_encode_app($i, $o, 
4.93/5.11	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.11	             cQ_3, a), X3), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X1), X3)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X2)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), X1)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)),
4.93/5.11	    inference('simplify', [status(thm)], ['35'])).
4.93/5.11	tff('37', plain,
4.93/5.11	    ![X0, X1]:
4.93/5.11	      (~ $true
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_1, b), b)
4.93/5.11	       | ~ app_encode_app($i, $o, 
4.93/5.11	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X1)
4.93/5.11	       | app_encode_app($i, $o, 
4.93/5.11	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_3, a), b), X1)),
4.93/5.12	    inference('sup-', [status(thm)], ['10', '36'])).
4.93/5.12	tff('38', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_1, b), b),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('39', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)
4.93/5.12	       | ~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X1)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_3, a), b), X1)),
4.93/5.12	    inference('demod', [status(thm)], ['37', '38'])).
4.93/5.12	tff('40', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_3, a), b), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_2, X0), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_1, c), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['39'])).
4.93/5.12	tff('41', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_1, c), c)
4.93/5.12	     | app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_3, a), b), c)),
4.93/5.12	    inference('sup-', [status(thm)], ['9', '40'])).
4.93/5.12	tff('42', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_1, c), c),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('43', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ $true
4.93/5.12	     | app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_3, a), b), c)),
4.93/5.12	    inference('demod', [status(thm)], ['41', '42'])).
4.93/5.12	tff('44', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cQ_3, 
4.93/5.12	          a), b), c),
4.93/5.12	    inference('simplify', [status(thm)], ['43'])).
4.93/5.12	tff('45', plain,
4.93/5.12	    ![X30, X31, X32, X33, X34, X35]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_3, X30), X31), X32)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, X30)), X33)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, X31)), X34)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_4, X33), X34), X35)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, X32)), X35)),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('46', plain,
4.93/5.12	    ![X0, X1, X2]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_4, X2), X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X2)),
4.93/5.12	    inference('sup-', [status(thm)], ['44', '45'])).
4.93/5.12	tff('47', plain,
4.93/5.12	    ![X0, X1, X2]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	             app_encode_app($i, $i, f, a)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_4, X2), X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['46'])).
4.93/5.12	tff('48', plain,
4.93/5.12	    ![X21, X22, X23, X24, X25, X26]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_4, X21), X22), X23)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X21)), X24)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X22)), X25)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X24), X25), X26)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X23)), X26)),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('49', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X0)), X3)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X5), X4), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X1)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X2)), X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['47', '48'])).
4.93/5.12	tff('50', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	             app_encode_app($i, $i, f, X2)), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X1)), X4)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X5), X4), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X0)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['49'])).
4.93/5.12	tff('51', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X2)), X4)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X0), X5), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X3)), X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['8', '50'])).
4.93/5.12	tff('52', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	             app_encode_app($i, $i, f, X3)), X5)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X0), X5), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X2)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['51'])).
4.93/5.12	tff('53', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X4)), X5)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X2), X0), X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['8', '52'])).
4.93/5.12	tff('54', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, X2), X0), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, 
4.93/5.12	               app_encode_app($i, $i, f, X4)), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['53'])).
4.93/5.12	tff('55', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X5), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X5)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X4), X2), X0)),
4.93/5.12	    inference('sup-', [status(thm)], ['8', '54'])).
4.93/5.12	tff('56', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, X4), X2), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X5), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['55'])).
4.93/5.12	tff('57', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X2), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X4), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X4)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X5), X3), X1)),
4.93/5.12	    inference('sup-', [status(thm)], ['7', '56'])).
4.93/5.12	tff('58', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, X5), X3), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X4), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X2), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['57'])).
4.93/5.12	tff('59', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X3)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X5), X4), X2)),
4.93/5.12	    inference('sup-', [status(thm)], ['7', '58'])).
4.93/5.12	tff('60', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, X5), X4), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['59'])).
4.93/5.12	tff('61', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X2), X5)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X5), X4), X3)),
4.93/5.12	    inference('sup-', [status(thm)], ['7', '60'])).
4.93/5.12	tff('62', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, X5), X4), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X2), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['61'])).
4.93/5.12	tff('63', plain,
4.93/5.12	    ![X0, X1, X2, X3]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, a), a)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X3)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, a), X3), X2)),
4.93/5.12	    inference('sup-', [status(thm)], ['6', '62'])).
4.93/5.12	tff('64', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_3, a), a),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('65', plain,
4.93/5.12	    ![X0, X1, X2, X3]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X1)
4.93/5.12	       | ~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X3)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, a), X3), X2)),
4.93/5.12	    inference('demod', [status(thm)], ['63', '64'])).
4.93/5.12	tff('66', plain,
4.93/5.12	    ![X0, X1, X2, X3]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, a), X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X1), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['65'])).
4.93/5.12	tff('67', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, b), b)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X1)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, a), b), X1)),
4.93/5.12	    inference('sup-', [status(thm)], ['5', '66'])).
4.93/5.12	tff('68', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_3, b), b),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('69', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)
4.93/5.12	       | ~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X1)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, a), b), X1)),
4.93/5.12	    inference('demod', [status(thm)], ['67', '68'])).
4.93/5.12	tff('70', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, a), b), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_4, X0), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_3, c), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['69'])).
4.93/5.12	tff('71', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_3, c), c)
4.93/5.12	     | app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, a), b), c)),
4.93/5.12	    inference('sup-', [status(thm)], ['4', '70'])).
4.93/5.12	tff('72', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_3, c), c),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('73', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ $true
4.93/5.12	     | app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	             cQ_5, a), b), c)),
4.93/5.12	    inference('demod', [status(thm)], ['71', '72'])).
4.93/5.12	tff('74', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), cQ_5, 
4.93/5.12	          a), b), c),
4.93/5.12	    inference('simplify', [status(thm)], ['73'])).
4.93/5.12	tff('75', plain,
4.93/5.12	    ![X12, X13, X14, X15, X16, X17]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_5, X12), X13), X14)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, X12)), X15)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, X13)), X16)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_6, X15), X16), X17)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, X14)), X17)),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('76', plain,
4.93/5.12	    ![X0, X1, X2]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_6, X2), X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X2)),
4.93/5.12	    inference('sup-', [status(thm)], ['74', '75'])).
4.93/5.12	tff('77', plain,
4.93/5.12	    ![X0, X1, X2]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, a)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_6, X2), X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['76'])).
4.93/5.12	tff('78', plain,
4.93/5.12	    ![X9, X10]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, X9), X10)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	             app_encode_app($i, $i, f, X9)), X10)),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('79', plain,
4.93/5.12	    ![X3, X4, X5, X6, X7, X8]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_6, X3), X4), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X3)), X6)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X4)), X7)
4.93/5.12	       | app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_7, X6), X7), X8)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X5)), X8)),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('80', plain,
4.93/5.12	    ![X0, X1, X2]:
4.93/5.12	      ~ app_encode_app($i, $o, 
4.93/5.12	          app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	            app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	              cQ_7, X0), X1), X2),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('81', plain,
4.93/5.12	    ![X3, X4, X5, X6, X7, X8]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	             app_encode_app($i, $i, f, X5)), X8)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X4)), X7)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X3)), X6)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	               app_encode_app($i, 
4.93/5.12	                 app_encode_fun($i, app_encode_fun($i, $o)), cQ_6, X3), X4), 
4.93/5.12	             X5)),
4.93/5.12	    inference('clc', [status(thm)], ['79', '80'])).
4.93/5.12	tff('82', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	               app_encode_app($i, 
4.93/5.12	                 app_encode_fun($i, app_encode_fun($i, $o)), cQ_6, X3), X2), 
4.93/5.12	             X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X3)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X2)), X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['78', '81'])).
4.93/5.12	tff('83', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	             app_encode_app($i, $i, f, X2)), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X3)), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	               app_encode_app($i, 
4.93/5.12	                 app_encode_fun($i, app_encode_fun($i, $o)), cQ_6, X3), X2), 
4.93/5.12	             X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['82'])).
4.93/5.12	tff('84', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	               app_encode_app($i, 
4.93/5.12	                 app_encode_fun($i, app_encode_fun($i, $o)), cQ_6, X4), X1), 
4.93/5.12	             X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	               app_encode_app($i, $i, f, X4)), X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['78', '83'])).
4.93/5.12	tff('85', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, 
4.93/5.12	             app_encode_app($i, $i, f, X4)), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	               app_encode_app($i, 
4.93/5.12	                 app_encode_fun($i, app_encode_fun($i, $o)), cQ_6, X4), X1), 
4.93/5.12	             X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['84'])).
4.93/5.12	tff('86', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X5), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	               app_encode_app($i, 
4.93/5.12	                 app_encode_fun($i, app_encode_fun($i, $o)), cQ_6, X1), X3), 
4.93/5.12	             X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['78', '85'])).
4.93/5.12	tff('87', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $o)), 
4.93/5.12	               cQ_6, X1), X3), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X5), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X3), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['86'])).
4.93/5.12	tff('88', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X2), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X0), X5)),
4.93/5.12	    inference('sup-', [status(thm)], ['77', '87'])).
4.93/5.12	tff('89', plain,
4.93/5.12	    ![X0, X1, X2, X3, X4, X5]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, X0), X5)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X4)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X2), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), X0)),
4.93/5.12	    inference('simplify', [status(thm)], ['88'])).
4.93/5.12	tff('90', plain,
4.93/5.12	    ![X0, X1, X2, X3]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), c)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X0), X3)),
4.93/5.12	    inference('sup-', [status(thm)], ['3', '89'])).
4.93/5.12	tff('91', plain,
4.93/5.12	    ![X0, X1, X2, X3]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, X0), X3)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X1), X2)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), c)),
4.93/5.12	    inference('simplify', [status(thm)], ['90'])).
4.93/5.12	tff('92', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (~ $true
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), c)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), b)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_6, X0), X1)),
4.93/5.12	    inference('sup-', [status(thm)], ['2', '91'])).
4.93/5.12	tff('93', plain,
4.93/5.12	    ![X0, X1]:
4.93/5.12	      (~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_6, X0), X1)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, a)), X0)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, b)), b)
4.93/5.12	       | ~ app_encode_app($i, $o, 
4.93/5.12	             app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	               app_encode_app($i, $i, f, c)), c)),
4.93/5.12	    inference('simplify', [status(thm)], ['92'])).
4.93/5.12	tff('94', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, c)), c)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, b)), b)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, a)), a)),
4.93/5.12	    inference('sup-', [status(thm)], ['1', '93'])).
4.93/5.12	tff('95', plain,
4.93/5.12	    (~ app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	           app_encode_app($i, $i, f, a)), a)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, b)), b)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, c)), c)),
4.93/5.12	    inference('simplify', [status(thm)], ['94'])).
4.93/5.12	tff('96', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, c), c)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, b)), b)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, a)), a)),
4.93/5.12	    inference('sup-', [status(thm)], ['0', '95'])).
4.93/5.12	tff('97', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_5, c), c),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('98', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, b)), b)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, a)), a)),
4.93/5.12	    inference('demod', [status(thm)], ['96', '97'])).
4.93/5.12	tff('99', plain,
4.93/5.12	    (~ app_encode_app($i, $o, 
4.93/5.12	         app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	           app_encode_app($i, $i, f, a)), a)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, b)), b)),
4.93/5.12	    inference('simplify', [status(thm)], ['98'])).
4.93/5.12	tff('100', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, b), b)
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, a)), a)),
4.93/5.12	    inference('sup-', [status(thm)], ['0', '99'])).
4.93/5.12	tff('101', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_5, b), b),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('102', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	             app_encode_app($i, $i, f, a)), a)),
4.93/5.12	    inference('demod', [status(thm)], ['100', '101'])).
4.93/5.12	tff('103', plain,
4.93/5.12	    ~ app_encode_app($i, $o, 
4.93/5.12	        app_encode_app($i, app_encode_fun($i, $o), cP_5, 
4.93/5.12	          app_encode_app($i, $i, f, a)), a),
4.93/5.12	    inference('simplify', [status(thm)], ['102'])).
4.93/5.12	tff('104', plain,
4.93/5.12	    (~ $true
4.93/5.12	     | ~ app_encode_app($i, $o, 
4.93/5.12	           app_encode_app($i, app_encode_fun($i, $o), cP_5, a), a)),
4.93/5.12	    inference('sup-', [status(thm)], ['0', '103'])).
4.93/5.12	tff('105', plain,
4.93/5.12	    app_encode_app($i, $o, 
4.93/5.12	      app_encode_app($i, app_encode_fun($i, $o), cP_5, a), a),
4.93/5.12	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.93/5.12	tff('106', plain, (~ $true | ~ $true),
4.93/5.12	    inference('demod', [status(thm)], ['104', '105'])).
4.93/5.12	tff('107', plain, $false, inference('simplify', [status(thm)], ['106'])).
4.93/5.12	
4.93/5.12	% SZS output end Refutation
4.93/5.12	EOF
