0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n142.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:10:54 CST 2018
150.78/150.98	% done 9440 iterations in 150.787s
150.78/150.98	% SZS status Theorem for 'stdin'
150.78/150.98	% SZS output start Refutation
150.78/150.99	tff(zf_stmt_64, axiom,
150.78/150.99	  (app_encode_app(bool,$o,pp,
150.78/150.99	                  app_encode_app(list(type),bool,
150.78/150.99	                                 app_encode_app(fun(list(type),bool),
150.78/150.99	                                                app_encode_fun(list(type),
150.78/150.99	                                                               bool),
150.78/150.99	                                                aa(list(type),bool),
150.78/150.99	                                                app_encode_app(list(dB),
150.78/150.99	                                                               fun(list(type),
150.78/150.99	                                                                   bool),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(nat,type),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               fun(list(type),
150.78/150.99	                                                                   bool)),
150.78/150.99	                                                               typings,
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               type,
150.78/150.99	                                                               fun(nat,type),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               nat,
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               type,
150.78/150.99	                                                               fun(nat,type)),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(nat,type),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               nat,
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               type,
150.78/150.99	                                                               fun(nat,type))),
150.78/150.99	                                                               shift(type),e),
150.78/150.99	                                                               zero_zero(nat)),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               type,type,
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               list(type),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               type,type),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(type,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   type,type)),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               list(type),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               type,type)),
150.78/150.99	                                                               foldr(
150.78/150.99	                                                               type,type),
150.78/150.99	                                                               fun1),ts),t))),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(dB,dB),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               list(dB)),
150.78/150.99	                                                               map(dB,dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               nat,
150.78/150.99	                                                               fun(dB,dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(dB,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   nat,dB)),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               nat,fun(dB,dB)),
150.78/150.99	                                                               combc(
150.78/150.99	                                                               dB,nat,dB),
150.78/150.99	                                                               lift),
150.78/150.99	                                                               zero_zero(nat))),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(dB,dB),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               list(dB),
150.78/150.99	                                                               list(dB)),
150.78/150.99	                                                               map(dB,dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               nat,
150.78/150.99	                                                               fun(dB,dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(dB,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   nat,dB)),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               nat,fun(dB,dB)),
150.78/150.99	                                                               combc(
150.78/150.99	                                                               dB,nat,dB),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               dB,
150.78/150.99	                                                               fun(dB,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   nat,dB)),
150.78/150.99	                                                               app_encode_app(
150.78/150.99	                                                               fun(dB,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   dB,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   nat,dB))),
150.78/150.99	                                                               app_encode_fun(
150.78/150.99	                                                               dB,
150.78/150.99	                                                               fun(dB,
150.78/150.99	                                                                   fun(
150.78/150.99	                                                                   nat,dB))),
150.78/150.99	                                                               combc(
150.78/150.99	                                                               dB,dB,
150.78/150.99	                                                               fun(nat,dB)),
150.78/150.99	                                                               subst),u)),i)),
150.78/150.99	                                                               as)))),
150.78/150.99	                                 ts)))).
150.78/150.99	tff('0', plain,
150.78/150.99	    app_encode_app(bool, $o, pp, 
150.78/150.99	      app_encode_app(list(type), bool, 
150.78/150.99	        app_encode_app(fun(list(type), bool), 
150.78/150.99	          app_encode_fun(list(type), bool), aa(list(type), bool), 
150.78/150.99	          app_encode_app(list(dB), fun(list(type), bool), 
150.78/150.99	            app_encode_app(fun(nat, type), 
150.78/150.99	              app_encode_fun(list(dB), fun(list(type), bool)), typings, 
150.78/150.99	              app_encode_app(type, fun(nat, type), 
150.78/150.99	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
150.78/150.99	                  app_encode_app(fun(nat, type), 
150.78/150.99	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
150.78/150.99	                    shift(type), e), zero_zero(nat)), 
150.78/150.99	                app_encode_app(type, type, 
150.83/150.99	                  app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                    app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                      app_encode_fun(list(type), app_encode_fun(type, type)), 
150.83/150.99	                      foldr(type, type), fun1), ts), t))), 
150.83/150.99	            app_encode_app(list(dB), list(dB), 
150.83/150.99	              app_encode_app(fun(dB, dB), 
150.83/150.99	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                  app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
150.83/150.99	                    lift), zero_zero(nat))), 
150.83/150.99	              app_encode_app(list(dB), list(dB), 
150.83/150.99	                app_encode_app(fun(dB, dB), 
150.83/150.99	                  app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                  app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                    app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                      app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
150.83/150.99	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
150.83/150.99	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                          combc(dB, dB, fun(nat, dB)), subst), u)), i)), as)))), 
150.83/150.99	        ts)),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_64])).
150.83/150.99	tff(zf_stmt_103, axiom,
150.83/150.99	  (![Ts:list(dB),Ta1:type,Tsa:list(type),Ta:dB,Eb:fun(nat,type)]:
150.83/150.99	     (app_encode_app(bool,$o,pp,
150.83/150.99	                     app_encode_app(type,bool,
150.83/150.99	                                    app_encode_app(fun(type,bool),
150.83/150.99	                                                   app_encode_fun(type,bool),
150.83/150.99	                                                   aa(type,bool),
150.83/150.99	                                                   app_encode_app(dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool),
150.83/150.99	                                                                  app_encode_app(
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  aa(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  app_encode_app(
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  nat,type),
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  typing,Eb)),
150.83/150.99	                                                                  Ta)),
150.83/150.99	                                    app_encode_app(type,type,
150.83/150.99	                                                   app_encode_app(list(type),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  type,type),
150.83/150.99	                                                                  app_encode_app(
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,type)),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  list(type),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  type,type)),
150.83/150.99	                                                                  foldr(
150.83/150.99	                                                                  type,type),
150.83/150.99	                                                                  fun1),Tsa),
150.83/150.99	                                                   Ta1))) =>
150.83/150.99	      (app_encode_app(bool,$o,pp,
150.83/150.99	                      app_encode_app(list(type),bool,
150.83/150.99	                                     app_encode_app(fun(list(type),bool),
150.83/150.99	                                                    app_encode_fun(list(type),
150.83/150.99	                                                                   bool),
150.83/150.99	                                                    aa(list(type),bool),
150.83/150.99	                                                    app_encode_app(list(dB),
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   list(type),
150.83/150.99	                                                                   bool),
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,type),
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   list(dB),
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   list(type),
150.83/150.99	                                                                   bool)),
150.83/150.99	                                                                   typings,Eb),
150.83/150.99	                                                                   Ts)),
150.83/150.99	                                     Tsa)) =>
150.83/150.99	       app_encode_app(bool,$o,pp,
150.83/150.99	                      app_encode_app(type,bool,
150.83/150.99	                                     app_encode_app(fun(type,bool),
150.83/150.99	                                                    app_encode_fun(type,bool),
150.83/150.99	                                                    aa(type,bool),
150.83/150.99	                                                    app_encode_app(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool),
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                                   aa(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,type),
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                                   typing,Eb)),
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   list(dB),
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   list(dB),
150.83/150.99	                                                                   dB),
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   fun(dB,dB)),
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   list(dB),
150.83/150.99	                                                                   dB)),
150.83/150.99	                                                                   foldl(
150.83/150.99	                                                                   dB,dB),app),
150.83/150.99	                                                                   Ta),Ts))),
150.83/150.99	                                     Ta1)))))).
150.83/150.99	tff('1', plain,
150.83/150.99	    ![X105 : fun(nat, type), X106 : list(dB), X107 : list(type), X108 : dB, 
150.83/150.99	      X109 : type]:
150.83/150.99	      (~ app_encode_app(bool, $o, pp, 
150.83/150.99	           app_encode_app(list(type), bool, 
150.83/150.99	             app_encode_app(fun(list(type), bool), 
150.83/150.99	               app_encode_fun(list(type), bool), aa(list(type), bool), 
150.83/150.99	               app_encode_app(list(dB), fun(list(type), bool), 
150.83/150.99	                 app_encode_app(fun(nat, type), 
150.83/150.99	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
150.83/150.99	                   X105), X106)), X107))
150.83/150.99	       | app_encode_app(bool, $o, pp, 
150.83/150.99	           app_encode_app(type, bool, 
150.83/150.99	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	               aa(type, bool), 
150.83/150.99	               app_encode_app(dB, fun(type, bool), 
150.83/150.99	                 app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                   app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                   aa(dB, fun(type, bool)), 
150.83/150.99	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                     typing, X105)), 
150.83/150.99	                 app_encode_app(list(dB), dB, 
150.83/150.99	                   app_encode_app(dB, app_encode_fun(list(dB), dB), 
150.83/150.99	                     app_encode_app(fun(dB, fun(dB, dB)), 
150.83/150.99	                       app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
150.83/150.99	                       foldl(dB, dB), app), X108), X106))), X109))
150.83/150.99	       | ~ app_encode_app(bool, $o, pp, 
150.83/150.99	             app_encode_app(type, bool, 
150.83/150.99	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	                 aa(type, bool), 
150.83/150.99	                 app_encode_app(dB, fun(type, bool), 
150.83/150.99	                   app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                     aa(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_app(fun(nat, type), 
150.83/150.99	                       fun(dB, fun(type, bool)), typing, X105)), X108)), 
150.83/150.99	               app_encode_app(type, type, 
150.83/150.99	                 app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                   app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                     app_encode_fun(list(type), app_encode_fun(type, type)), 
150.83/150.99	                     foldr(type, type), fun1), X107), X109)))),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_103])).
150.83/150.99	tff('2', plain,
150.83/150.99	    ![X0 : type, X1 : dB]:
150.83/150.99	      (~ $true
150.83/150.99	       | ~ app_encode_app(bool, $o, pp, 
150.83/150.99	             app_encode_app(type, bool, 
150.83/150.99	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	                 aa(type, bool), 
150.83/150.99	                 app_encode_app(dB, fun(type, bool), 
150.83/150.99	                   app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                     aa(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_app(fun(nat, type), 
150.83/150.99	                       fun(dB, fun(type, bool)), typing, 
150.83/150.99	                       app_encode_app(type, fun(nat, type), 
150.83/150.99	                         app_encode_app(nat, 
150.83/150.99	                           app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                           app_encode_app(fun(nat, type), 
150.83/150.99	                             app_encode_fun(nat, 
150.83/150.99	                               app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                             shift(type), e), zero_zero(nat)), 
150.83/150.99	                         app_encode_app(type, type, 
150.83/150.99	                           app_encode_app(list(type), 
150.83/150.99	                             app_encode_fun(type, type), 
150.83/150.99	                             app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                               app_encode_fun(list(type), 
150.83/150.99	                                 app_encode_fun(type, type)), 
150.83/150.99	                               foldr(type, type), fun1), ts), t)))), X1)), 
150.83/150.99	               app_encode_app(type, type, 
150.83/150.99	                 app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                   app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                     app_encode_fun(list(type), app_encode_fun(type, type)), 
150.83/150.99	                     foldr(type, type), fun1), ts), X0)))
150.83/150.99	       | app_encode_app(bool, $o, pp, 
150.83/150.99	           app_encode_app(type, bool, 
150.83/150.99	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	               aa(type, bool), 
150.83/150.99	               app_encode_app(dB, fun(type, bool), 
150.83/150.99	                 app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                   app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                   aa(dB, fun(type, bool)), 
150.83/150.99	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                     typing, 
150.83/150.99	                     app_encode_app(type, fun(nat, type), 
150.83/150.99	                       app_encode_app(nat, 
150.83/150.99	                         app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                         app_encode_app(fun(nat, type), 
150.83/150.99	                           app_encode_fun(nat, 
150.83/150.99	                             app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                           shift(type), e), zero_zero(nat)), 
150.83/150.99	                       app_encode_app(type, type, 
150.83/150.99	                         app_encode_app(list(type), 
150.83/150.99	                           app_encode_fun(type, type), 
150.83/150.99	                           app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                             app_encode_fun(list(type), 
150.83/150.99	                               app_encode_fun(type, type)), 
150.83/150.99	                             foldr(type, type), fun1), ts), t)))), 
150.83/150.99	                 app_encode_app(list(dB), dB, 
150.83/150.99	                   app_encode_app(dB, app_encode_fun(list(dB), dB), 
150.83/150.99	                     app_encode_app(fun(dB, fun(dB, dB)), 
150.83/150.99	                       app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
150.83/150.99	                       foldl(dB, dB), app), X1), 
150.83/150.99	                   app_encode_app(list(dB), list(dB), 
150.83/150.99	                     app_encode_app(fun(dB, dB), 
150.83/150.99	                       app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                       app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                         app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                           app_encode_fun(nat, fun(dB, dB)), 
150.83/150.99	                           combc(dB, nat, dB), lift), zero_zero(nat))), 
150.83/150.99	                     app_encode_app(list(dB), list(dB), 
150.83/150.99	                       app_encode_app(fun(dB, dB), 
150.83/150.99	                         app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                         app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                           app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                             app_encode_fun(nat, fun(dB, dB)), 
150.83/150.99	                             combc(dB, nat, dB), 
150.83/150.99	                             app_encode_app(dB, fun(dB, fun(nat, dB)), 
150.83/150.99	                               app_encode_app(
150.83/150.99	                                 fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                                 app_encode_fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                                 combc(dB, dB, fun(nat, dB)), subst), u)), i)), 
150.83/150.99	                       as))))), X0))),
150.83/150.99	    inference('sup-', [status(thm)], ['0', '1'])).
150.83/150.99	tff('3', plain,
150.83/150.99	    ![X0 : type, X1 : dB]:
150.83/150.99	      (app_encode_app(bool, $o, pp, 
150.83/150.99	         app_encode_app(type, bool, 
150.83/150.99	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	             aa(type, bool), 
150.83/150.99	             app_encode_app(dB, fun(type, bool), 
150.83/150.99	               app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                 aa(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                   typing, 
150.83/150.99	                   app_encode_app(type, fun(nat, type), 
150.83/150.99	                     app_encode_app(nat, 
150.83/150.99	                       app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                       app_encode_app(fun(nat, type), 
150.83/150.99	                         app_encode_fun(nat, 
150.83/150.99	                           app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                         shift(type), e), zero_zero(nat)), 
150.83/150.99	                     app_encode_app(type, type, 
150.83/150.99	                       app_encode_app(list(type), 
150.83/150.99	                         app_encode_fun(type, type), 
150.83/150.99	                         app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                           app_encode_fun(list(type), 
150.83/150.99	                             app_encode_fun(type, type)), foldr(type, type), 
150.83/150.99	                           fun1), ts), t)))), 
150.83/150.99	               app_encode_app(list(dB), dB, 
150.83/150.99	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
150.83/150.99	                   app_encode_app(fun(dB, fun(dB, dB)), 
150.83/150.99	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
150.83/150.99	                     foldl(dB, dB), app), X1), 
150.83/150.99	                 app_encode_app(list(dB), list(dB), 
150.83/150.99	                   app_encode_app(fun(dB, dB), 
150.83/150.99	                     app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                     app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                       app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                         app_encode_fun(nat, fun(dB, dB)), 
150.83/150.99	                         combc(dB, nat, dB), lift), zero_zero(nat))), 
150.83/150.99	                   app_encode_app(list(dB), list(dB), 
150.83/150.99	                     app_encode_app(fun(dB, dB), 
150.83/150.99	                       app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                       app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                         app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                           app_encode_fun(nat, fun(dB, dB)), 
150.83/150.99	                           combc(dB, nat, dB), 
150.83/150.99	                           app_encode_app(dB, fun(dB, fun(nat, dB)), 
150.83/150.99	                             app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                               app_encode_fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                               combc(dB, dB, fun(nat, dB)), subst), u)), i)), 
150.83/150.99	                     as))))), X0))
150.83/150.99	       | ~ app_encode_app(bool, $o, pp, 
150.83/150.99	             app_encode_app(type, bool, 
150.83/150.99	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	                 aa(type, bool), 
150.83/150.99	                 app_encode_app(dB, fun(type, bool), 
150.83/150.99	                   app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                     aa(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_app(fun(nat, type), 
150.83/150.99	                       fun(dB, fun(type, bool)), typing, 
150.83/150.99	                       app_encode_app(type, fun(nat, type), 
150.83/150.99	                         app_encode_app(nat, 
150.83/150.99	                           app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                           app_encode_app(fun(nat, type), 
150.83/150.99	                             app_encode_fun(nat, 
150.83/150.99	                               app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                             shift(type), e), zero_zero(nat)), 
150.83/150.99	                         app_encode_app(type, type, 
150.83/150.99	                           app_encode_app(list(type), 
150.83/150.99	                             app_encode_fun(type, type), 
150.83/150.99	                             app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                               app_encode_fun(list(type), 
150.83/150.99	                                 app_encode_fun(type, type)), 
150.83/150.99	                               foldr(type, type), fun1), ts), t)))), X1)), 
150.83/150.99	               app_encode_app(type, type, 
150.83/150.99	                 app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                   app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                     app_encode_fun(list(type), app_encode_fun(type, type)), 
150.83/150.99	                     foldr(type, type), fun1), ts), X0)))),
150.83/150.99	    inference('simplify', [status(thm)], ['2'])).
150.83/150.99	tff(zf_stmt_164, axiom,
150.83/150.99	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
150.83/150.99	     (app_encode_app(A,C,
150.83/150.99	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
150.83/150.99	                                    app_encode_app(B,fun(A,C),
150.83/150.99	                                                   app_encode_app(fun(
150.83/150.99	                                                                  A,fun(B,C)),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  B,fun(A,C)),
150.83/150.99	                                                                  combc(
150.83/150.99	                                                                  A,B,C),P),
150.83/150.99	                                                   Q)),
150.83/150.99	                     R) =
150.83/150.99	      app_encode_app(B,C,
150.83/150.99	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
150.83/150.99	                                    app_encode_app(A,fun(B,C),
150.83/150.99	                                                   app_encode_app(fun(
150.83/150.99	                                                                  A,fun(B,C)),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  A,fun(B,C)),
150.83/150.99	                                                                  aa(
150.83/150.99	                                                                  A,fun(B,C)),
150.83/150.99	                                                                  P),
150.83/150.99	                                                   R)),
150.83/150.99	                     Q)))).
150.83/150.99	tff('4', plain,
150.83/150.99	    ![X312 : $tType, X313 : $tType, X314 : $tType, 
150.83/150.99	      X315 : fun(X314, fun(X312, X313)), X316 : X314, X317 : X312]:
150.83/150.99	      app_encode_app(X314, X313, 
150.83/150.99	        app_encode_app(fun(X314, X313), app_encode_fun(X314, X313), 
150.83/150.99	          aa(X314, X313), 
150.83/150.99	          app_encode_app(X312, fun(X314, X313), 
150.83/150.99	            app_encode_app(fun(X314, fun(X312, X313)), 
150.83/150.99	              app_encode_fun(X312, fun(X314, X313)), 
150.83/150.99	              combc(X314, X312, X313), X315), X317)), X316)
150.83/150.99	       = app_encode_app(X312, X313, 
150.83/150.99	           app_encode_app(fun(X312, X313), app_encode_fun(X312, X313), 
150.83/150.99	             aa(X312, X313), 
150.83/150.99	             app_encode_app(X314, fun(X312, X313), 
150.83/150.99	               app_encode_app(fun(X314, fun(X312, X313)), 
150.83/150.99	                 app_encode_fun(X314, fun(X312, X313)), 
150.83/150.99	                 aa(X314, fun(X312, X313)), X315), X316)), X317),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_164])).
150.83/150.99	tff('5', plain,
150.83/150.99	    ![X0 : type, X1 : dB]:
150.83/150.99	      (app_encode_app(bool, $o, pp, 
150.83/150.99	         app_encode_app(dB, bool, 
150.83/150.99	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
150.83/150.99	             aa(dB, bool), 
150.83/150.99	             app_encode_app(type, fun(dB, bool), 
150.83/150.99	               app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
150.83/150.99	                 app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                   typing, 
150.83/150.99	                   app_encode_app(type, fun(nat, type), 
150.83/150.99	                     app_encode_app(nat, 
150.83/150.99	                       app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                       app_encode_app(fun(nat, type), 
150.83/150.99	                         app_encode_fun(nat, 
150.83/150.99	                           app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                         shift(type), e), zero_zero(nat)), 
150.83/150.99	                     app_encode_app(type, type, 
150.83/150.99	                       app_encode_app(list(type), 
150.83/150.99	                         app_encode_fun(type, type), 
150.83/150.99	                         app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                           app_encode_fun(list(type), 
150.83/150.99	                             app_encode_fun(type, type)), foldr(type, type), 
150.83/150.99	                           fun1), ts), t)))), X0)), 
150.83/150.99	           app_encode_app(list(dB), dB, 
150.83/150.99	             app_encode_app(dB, app_encode_fun(list(dB), dB), 
150.83/150.99	               app_encode_app(fun(dB, fun(dB, dB)), 
150.83/150.99	                 app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
150.83/150.99	                 foldl(dB, dB), app), X1), 
150.83/150.99	             app_encode_app(list(dB), list(dB), 
150.83/150.99	               app_encode_app(fun(dB, dB), 
150.83/150.99	                 app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                 app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                   app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                     app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
150.83/150.99	                     lift), zero_zero(nat))), 
150.83/150.99	               app_encode_app(list(dB), list(dB), 
150.83/150.99	                 app_encode_app(fun(dB, dB), 
150.83/150.99	                   app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                   app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                     app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
150.83/150.99	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
150.83/150.99	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                           combc(dB, dB, fun(nat, dB)), subst), u)), i)), as)))))
150.83/150.99	       | ~ app_encode_app(bool, $o, pp, 
150.83/150.99	             app_encode_app(dB, bool, 
150.83/150.99	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
150.83/150.99	                 aa(dB, bool), 
150.83/150.99	                 app_encode_app(type, fun(dB, bool), 
150.83/150.99	                   app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                     app_encode_fun(type, fun(dB, bool)), 
150.83/150.99	                     combc(dB, type, bool), 
150.83/150.99	                     app_encode_app(fun(nat, type), 
150.83/150.99	                       fun(dB, fun(type, bool)), typing, 
150.83/150.99	                       app_encode_app(type, fun(nat, type), 
150.83/150.99	                         app_encode_app(nat, 
150.83/150.99	                           app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                           app_encode_app(fun(nat, type), 
150.83/150.99	                             app_encode_fun(nat, 
150.83/150.99	                               app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                             shift(type), e), zero_zero(nat)), 
150.83/150.99	                         app_encode_app(type, type, 
150.83/150.99	                           app_encode_app(list(type), 
150.83/150.99	                             app_encode_fun(type, type), 
150.83/150.99	                             app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                               app_encode_fun(list(type), 
150.83/150.99	                                 app_encode_fun(type, type)), 
150.83/150.99	                               foldr(type, type), fun1), ts), t)))), 
150.83/150.99	                   app_encode_app(type, type, 
150.83/150.99	                     app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                       app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                         app_encode_fun(list(type), 
150.83/150.99	                           app_encode_fun(type, type)), foldr(type, type), 
150.83/150.99	                         fun1), ts), X0))), X1))),
150.83/150.99	    inference('demod', [status(thm)], ['3', '4', '4'])).
150.83/150.99	tff(zf_stmt_174, conjecture,
150.83/150.99	  (app_encode_app(bool,$o,pp,
150.83/150.99	                  app_encode_app(type,bool,
150.83/150.99	                                 app_encode_app(fun(type,bool),
150.83/150.99	                                                app_encode_fun(type,bool),
150.83/150.99	                                                aa(type,bool),
150.83/150.99	                                                app_encode_app(dB,
150.83/150.99	                                                               fun(type,bool),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               dB,
150.83/150.99	                                                               fun(type,bool)),
150.83/150.99	                                                               aa(dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(nat,type),
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                               typing,
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               type,
150.83/150.99	                                                               fun(nat,type),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               nat,
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               type,
150.83/150.99	                                                               fun(nat,type)),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(nat,type),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               nat,
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               type,
150.83/150.99	                                                               fun(nat,type))),
150.83/150.99	                                                               shift(type),e),
150.83/150.99	                                                               zero_zero(nat)),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               type,type,
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               list(type),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               type,type),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(type,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,type)),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               list(type),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               type,type)),
150.83/150.99	                                                               foldr(
150.83/150.99	                                                               type,type),
150.83/150.99	                                                               fun1),ts),t)))),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               list(dB),dB,
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               dB,
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               list(dB),dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(dB,dB)),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               dB,
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               list(dB),dB)),
150.83/150.99	                                                               foldl(dB,dB),
150.83/150.99	                                                               app),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               nat,dB,var,
150.83/150.99	                                                               zero_zero(nat))),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               list(dB),
150.83/150.99	                                                               list(dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,dB),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               list(dB),
150.83/150.99	                                                               list(dB)),
150.83/150.99	                                                               map(dB,dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               nat,
150.83/150.99	                                                               fun(dB,dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,dB)),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               nat,fun(dB,dB)),
150.83/150.99	                                                               combc(
150.83/150.99	                                                               dB,nat,dB),
150.83/150.99	                                                               lift),
150.83/150.99	                                                               zero_zero(nat))),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               list(dB),
150.83/150.99	                                                               list(dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,dB),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               list(dB),
150.83/150.99	                                                               list(dB)),
150.83/150.99	                                                               map(dB,dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               nat,
150.83/150.99	                                                               fun(dB,dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,dB)),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               nat,fun(dB,dB)),
150.83/150.99	                                                               combc(
150.83/150.99	                                                               dB,nat,dB),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               dB,
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,dB)),
150.83/150.99	                                                               app_encode_app(
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,dB))),
150.83/150.99	                                                               app_encode_fun(
150.83/150.99	                                                               dB,
150.83/150.99	                                                               fun(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   nat,dB))),
150.83/150.99	                                                               combc(
150.83/150.99	                                                               dB,dB,
150.83/150.99	                                                               fun(nat,dB)),
150.83/150.99	                                                               subst),u)),i)),
150.83/150.99	                                                               as))))),
150.83/150.99	                                 t)))).
150.83/150.99	tff(zf_stmt_0, negated_conjecture,
150.83/150.99	  (~
150.83/150.99	    app_encode_app(bool,$o,pp,
150.83/150.99	                   app_encode_app(type,bool,
150.83/150.99	                                  app_encode_app(fun(type,bool),
150.83/150.99	                                                 app_encode_fun(type,bool),
150.83/150.99	                                                 aa(type,bool),
150.83/150.99	                                                 app_encode_app(dB,
150.83/150.99	                                                                fun(type,bool),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    type,bool)),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                dB,
150.83/150.99	                                                                fun(type,bool)),
150.83/150.99	                                                                aa(dB,
150.83/150.99	                                                                   fun(
150.83/150.99	                                                                   type,bool)),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(nat,type),
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    type,bool)),
150.83/150.99	                                                                typing,
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                type,
150.83/150.99	                                                                fun(nat,type),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                nat,
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                type,
150.83/150.99	                                                                fun(nat,type)),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(nat,type),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                nat,
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                type,
150.83/150.99	                                                                fun(nat,type))),
150.83/150.99	                                                                shift(type),e),
150.83/150.99	                                                                zero_zero(
150.83/150.99	                                                                nat)),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                type,type,
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                list(type),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                type,type),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(type,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    type,type)),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                list(type),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                type,type)),
150.83/150.99	                                                                foldr(
150.83/150.99	                                                                type,type),
150.83/150.99	                                                                fun1),ts),t)))),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                list(dB),dB,
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                dB,
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                list(dB),dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    dB,dB)),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                dB,
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                list(dB),dB)),
150.83/150.99	                                                                foldl(dB,dB),
150.83/150.99	                                                                app),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                nat,dB,var,
150.83/150.99	                                                                zero_zero(
150.83/150.99	                                                                nat))),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                list(dB),
150.83/150.99	                                                                list(dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,dB),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                list(dB),
150.83/150.99	                                                                list(dB)),
150.83/150.99	                                                                map(dB,dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                nat,
150.83/150.99	                                                                fun(dB,dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    nat,dB)),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                nat,
150.83/150.99	                                                                fun(dB,dB)),
150.83/150.99	                                                                combc(
150.83/150.99	                                                                dB,nat,dB),
150.83/150.99	                                                                lift),
150.83/150.99	                                                                zero_zero(
150.83/150.99	                                                                nat))),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                list(dB),
150.83/150.99	                                                                list(dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,dB),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                list(dB),
150.83/150.99	                                                                list(dB)),
150.83/150.99	                                                                map(dB,dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                nat,
150.83/150.99	                                                                fun(dB,dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    nat,dB)),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                nat,
150.83/150.99	                                                                fun(dB,dB)),
150.83/150.99	                                                                combc(
150.83/150.99	                                                                dB,nat,dB),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                dB,
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    nat,dB)),
150.83/150.99	                                                                app_encode_app(
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    nat,dB))),
150.83/150.99	                                                                app_encode_fun(
150.83/150.99	                                                                dB,
150.83/150.99	                                                                fun(dB,
150.83/150.99	                                                                    fun(
150.83/150.99	                                                                    nat,dB))),
150.83/150.99	                                                                combc(
150.83/150.99	                                                                dB,dB,
150.83/150.99	                                                                fun(nat,dB)),
150.83/150.99	                                                                subst),u)),i)),
150.83/150.99	                                                                as))))),
150.83/150.99	                                  t)))).
150.83/150.99	tff('6', plain,
150.83/150.99	    ~ app_encode_app(bool, $o, pp, 
150.83/150.99	        app_encode_app(type, bool, 
150.83/150.99	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	            aa(type, bool), 
150.83/150.99	            app_encode_app(dB, fun(type, bool), 
150.83/150.99	              app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                aa(dB, fun(type, bool)), 
150.83/150.99	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                  typing, 
150.83/150.99	                  app_encode_app(type, fun(nat, type), 
150.83/150.99	                    app_encode_app(nat, 
150.83/150.99	                      app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                      app_encode_app(fun(nat, type), 
150.83/150.99	                        app_encode_fun(nat, 
150.83/150.99	                          app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                        shift(type), e), zero_zero(nat)), 
150.83/150.99	                    app_encode_app(type, type, 
150.83/150.99	                      app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                        app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                          app_encode_fun(list(type), 
150.83/150.99	                            app_encode_fun(type, type)), foldr(type, type), 
150.83/150.99	                          fun1), ts), t)))), 
150.83/150.99	              app_encode_app(list(dB), dB, 
150.83/150.99	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
150.83/150.99	                  app_encode_app(fun(dB, fun(dB, dB)), 
150.83/150.99	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
150.83/150.99	                    foldl(dB, dB), app), 
150.83/150.99	                  app_encode_app(nat, dB, var, zero_zero(nat))), 
150.83/150.99	                app_encode_app(list(dB), list(dB), 
150.83/150.99	                  app_encode_app(fun(dB, dB), 
150.83/150.99	                    app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                    app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                      app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                        app_encode_fun(nat, fun(dB, dB)), 
150.83/150.99	                        combc(dB, nat, dB), lift), zero_zero(nat))), 
150.83/150.99	                  app_encode_app(list(dB), list(dB), 
150.83/150.99	                    app_encode_app(fun(dB, dB), 
150.83/150.99	                      app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                      app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                        app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                          app_encode_fun(nat, fun(dB, dB)), 
150.83/150.99	                          combc(dB, nat, dB), 
150.83/150.99	                          app_encode_app(dB, fun(dB, fun(nat, dB)), 
150.83/150.99	                            app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                              app_encode_fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                              combc(dB, dB, fun(nat, dB)), subst), u)), i)), 
150.83/150.99	                    as))))), t)),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
150.83/150.99	tff('7', plain,
150.83/150.99	    ~ app_encode_app(bool, $o, pp, 
150.83/150.99	        app_encode_app(dB, bool, 
150.83/150.99	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
150.83/150.99	            aa(dB, bool), 
150.83/150.99	            app_encode_app(type, fun(dB, bool), 
150.83/150.99	              app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
150.83/150.99	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                  typing, 
150.83/150.99	                  app_encode_app(type, fun(nat, type), 
150.83/150.99	                    app_encode_app(nat, 
150.83/150.99	                      app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                      app_encode_app(fun(nat, type), 
150.83/150.99	                        app_encode_fun(nat, 
150.83/150.99	                          app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                        shift(type), e), zero_zero(nat)), 
150.83/150.99	                    app_encode_app(type, type, 
150.83/150.99	                      app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                        app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                          app_encode_fun(list(type), 
150.83/150.99	                            app_encode_fun(type, type)), foldr(type, type), 
150.83/150.99	                          fun1), ts), t)))), t)), 
150.83/150.99	          app_encode_app(list(dB), dB, 
150.83/150.99	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
150.83/150.99	              app_encode_app(fun(dB, fun(dB, dB)), 
150.83/150.99	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
150.83/150.99	                foldl(dB, dB), app), 
150.83/150.99	              app_encode_app(nat, dB, var, zero_zero(nat))), 
150.83/150.99	            app_encode_app(list(dB), list(dB), 
150.83/150.99	              app_encode_app(fun(dB, dB), 
150.83/150.99	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                  app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
150.83/150.99	                    lift), zero_zero(nat))), 
150.83/150.99	              app_encode_app(list(dB), list(dB), 
150.83/150.99	                app_encode_app(fun(dB, dB), 
150.83/150.99	                  app_encode_fun(list(dB), list(dB)), map(dB, dB), 
150.83/150.99	                  app_encode_app(nat, fun(dB, dB), 
150.83/150.99	                    app_encode_app(fun(dB, fun(nat, dB)), 
150.83/150.99	                      app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
150.83/150.99	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
150.83/150.99	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
150.83/150.99	                          combc(dB, dB, fun(nat, dB)), subst), u)), i)), as))))),
150.83/150.99	    inference('demod', [status(thm)], ['6', '4'])).
150.83/150.99	tff('8', plain,
150.83/150.99	    (~ $true
150.83/150.99	     | ~ app_encode_app(bool, $o, pp, 
150.83/150.99	           app_encode_app(dB, bool, 
150.83/150.99	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
150.83/150.99	               aa(dB, bool), 
150.83/150.99	               app_encode_app(type, fun(dB, bool), 
150.83/150.99	                 app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                   app_encode_fun(type, fun(dB, bool)), 
150.83/150.99	                   combc(dB, type, bool), 
150.83/150.99	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                     typing, 
150.83/150.99	                     app_encode_app(type, fun(nat, type), 
150.83/150.99	                       app_encode_app(nat, 
150.83/150.99	                         app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                         app_encode_app(fun(nat, type), 
150.83/150.99	                           app_encode_fun(nat, 
150.83/150.99	                             app_encode_fun(type, fun(nat, type))), 
150.83/150.99	                           shift(type), e), zero_zero(nat)), 
150.83/150.99	                       app_encode_app(type, type, 
150.83/150.99	                         app_encode_app(list(type), 
150.83/150.99	                           app_encode_fun(type, type), 
150.83/150.99	                           app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                             app_encode_fun(list(type), 
150.83/150.99	                               app_encode_fun(type, type)), 
150.83/150.99	                             foldr(type, type), fun1), ts), t)))), 
150.83/150.99	                 app_encode_app(type, type, 
150.83/150.99	                   app_encode_app(list(type), app_encode_fun(type, type), 
150.83/150.99	                     app_encode_app(fun(type, fun(type, type)), 
150.83/150.99	                       app_encode_fun(list(type), app_encode_fun(type, type)), 
150.83/150.99	                       foldr(type, type), fun1), ts), t))), 
150.83/150.99	             app_encode_app(nat, dB, var, zero_zero(nat))))),
150.83/150.99	    inference('sup-', [status(thm)], ['5', '7'])).
150.83/150.99	tff(zf_stmt_96, axiom,
150.83/150.99	  (![A:$tType,Ta1:A,Eb:fun(nat,A),J:nat,Ib:nat]:
150.83/150.99	     ((Ib = J) =>
150.83/150.99	      (app_encode_app(nat,A,
150.83/150.99	                      app_encode_app(fun(nat,A),app_encode_fun(nat,A),
150.83/150.99	                                     aa(nat,A),
150.83/150.99	                                     app_encode_app(A,fun(nat,A),
150.83/150.99	                                                    app_encode_app(nat,
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   A,
150.83/150.99	                                                                   fun(nat,A)),
150.83/150.99	                                                                   app_encode_app(
150.83/150.99	                                                                   fun(nat,A),
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   nat,
150.83/150.99	                                                                   app_encode_fun(
150.83/150.99	                                                                   A,
150.83/150.99	                                                                   fun(nat,A))),
150.83/150.99	                                                                   shift(A),
150.83/150.99	                                                                   Eb),Ib),
150.83/150.99	                                                    Ta1)),
150.83/150.99	                      J) =
150.83/150.99	       Ta1)))).
150.83/150.99	tff('9', plain,
150.83/150.99	    ![X78 : $tType, X79 : X78, X80 : fun(nat, X78), X81 : nat, X82 : nat]:
150.83/150.99	      (app_encode_app(nat, X78, 
150.83/150.99	         app_encode_app(fun(nat, X78), app_encode_fun(nat, X78), 
150.83/150.99	           aa(nat, X78), 
150.83/150.99	           app_encode_app(X78, fun(nat, X78), 
150.83/150.99	             app_encode_app(nat, app_encode_fun(X78, fun(nat, X78)), 
150.83/150.99	               app_encode_app(fun(nat, X78), 
150.83/150.99	                 app_encode_fun(nat, app_encode_fun(X78, fun(nat, X78))), 
150.83/150.99	                 shift(X78), X80), X81), X79)), X82)
150.83/150.99	        = X79
150.83/150.99	       | X81 != X82),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_96])).
150.83/150.99	tff('10', plain,
150.83/150.99	    ![X78 : $tType, X79 : X78, X80 : fun(nat, X78), X82 : nat]:
150.83/150.99	      app_encode_app(nat, X78, 
150.83/150.99	        app_encode_app(fun(nat, X78), app_encode_fun(nat, X78), 
150.83/150.99	          aa(nat, X78), 
150.83/150.99	          app_encode_app(X78, fun(nat, X78), 
150.83/150.99	            app_encode_app(nat, app_encode_fun(X78, fun(nat, X78)), 
150.83/150.99	              app_encode_app(fun(nat, X78), 
150.83/150.99	                app_encode_fun(nat, app_encode_fun(X78, fun(nat, X78))), 
150.83/150.99	                shift(X78), X80), X82), X79)), X82)
150.83/150.99	       = X79,
150.83/150.99	    inference('simplify', [status(thm)], ['9'])).
150.83/150.99	tff(zf_stmt_76, axiom,
150.83/150.99	  (![Ta1:type,X1:nat,Env:fun(nat,type)]:
150.83/150.99	     ((app_encode_app(nat,type,
150.83/150.99	                      app_encode_app(fun(nat,type),app_encode_fun(nat,type),
150.83/150.99	                                     aa(nat,type),Env),
150.83/150.99	                      X1) =
150.83/150.99	       Ta1) =>
150.83/150.99	      app_encode_app(bool,$o,pp,
150.83/150.99	                     app_encode_app(type,bool,
150.83/150.99	                                    app_encode_app(fun(type,bool),
150.83/150.99	                                                   app_encode_fun(type,bool),
150.83/150.99	                                                   aa(type,bool),
150.83/150.99	                                                   app_encode_app(dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool),
150.83/150.99	                                                                  app_encode_app(
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  app_encode_fun(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  aa(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  app_encode_app(
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  nat,type),
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  dB,
150.83/150.99	                                                                  fun(
150.83/150.99	                                                                  type,bool)),
150.83/150.99	                                                                  typing,Env)),
150.83/150.99	                                                                  app_encode_app(
150.83/150.99	                                                                  nat,dB,var,
150.83/150.99	                                                                  X1))),
150.83/150.99	                                    Ta1))))).
150.83/150.99	tff('11', plain,
150.83/150.99	    ![X29 : fun(nat, type), X30 : nat, X31 : type]:
150.83/150.99	      (app_encode_app(bool, $o, pp, 
150.83/150.99	         app_encode_app(type, bool, 
150.83/150.99	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	             aa(type, bool), 
150.83/150.99	             app_encode_app(dB, fun(type, bool), 
150.83/150.99	               app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                 aa(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                   typing, X29)), app_encode_app(nat, dB, var, X30))), X31))
150.83/150.99	       | app_encode_app(nat, type, 
150.83/150.99	           app_encode_app(fun(nat, type), app_encode_fun(nat, type), 
150.83/150.99	             aa(nat, type), X29), X30)
150.83/150.99	          != X31),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_76])).
150.83/150.99	tff('12', plain,
150.83/150.99	    ![X29 : fun(nat, type), X30 : nat]:
150.83/150.99	      app_encode_app(bool, $o, pp, 
150.83/150.99	        app_encode_app(type, bool, 
150.83/150.99	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	            aa(type, bool), 
150.83/150.99	            app_encode_app(dB, fun(type, bool), 
150.83/150.99	              app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                aa(dB, fun(type, bool)), 
150.83/150.99	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                  typing, X29)), app_encode_app(nat, dB, var, X30))), 
150.83/150.99	          app_encode_app(nat, type, 
150.83/150.99	            app_encode_app(fun(nat, type), app_encode_fun(nat, type), 
150.83/150.99	              aa(nat, type), X29), X30))),
150.83/150.99	    inference('simplify', [status(thm)], ['11'])).
150.83/150.99	tff(zf_stmt_171, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
150.83/150.99	tff('13', plain, ![X332 : bool]: (X332 = fTrue | X332 = fFalse),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_171])).
150.83/150.99	tff(zf_stmt_160, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
150.83/150.99	tff('14', plain, ~ app_encode_app(bool, $o, pp, fFalse),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_160])).
150.83/150.99	tff('15', plain,
150.83/150.99	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
150.83/150.99	    inference('sup-', [status(thm)], ['13', '14'])).
150.83/150.99	tff('16', plain,
150.83/150.99	    ![X0 : nat, X1 : fun(nat, type)]:
150.83/150.99	      (~ $true
150.83/150.99	       | app_encode_app(type, bool, 
150.83/150.99	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	             aa(type, bool), 
150.83/150.99	             app_encode_app(dB, fun(type, bool), 
150.83/150.99	               app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_fun(dB, fun(type, bool)), 
150.83/150.99	                 aa(dB, fun(type, bool)), 
150.83/150.99	                 app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                   typing, X1)), app_encode_app(nat, dB, var, X0))), 
150.83/150.99	           app_encode_app(nat, type, 
150.83/150.99	             app_encode_app(fun(nat, type), app_encode_fun(nat, type), 
150.83/150.99	               aa(nat, type), X1), X0))
150.83/150.99	          = fTrue),
150.83/150.99	    inference('sup-', [status(thm)], ['12', '15'])).
150.83/150.99	tff('17', plain,
150.83/150.99	    ![X0 : nat, X1 : fun(nat, type)]:
150.83/150.99	      app_encode_app(type, bool, 
150.83/150.99	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
150.83/150.99	          aa(type, bool), 
150.83/150.99	          app_encode_app(dB, fun(type, bool), 
150.83/150.99	            app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
150.83/150.99	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                typing, X1)), app_encode_app(nat, dB, var, X0))), 
150.83/150.99	        app_encode_app(nat, type, 
150.83/150.99	          app_encode_app(fun(nat, type), app_encode_fun(nat, type), 
150.83/150.99	            aa(nat, type), X1), X0))
150.83/150.99	       = fTrue,
150.83/150.99	    inference('simplify', [status(thm)], ['16'])).
150.83/150.99	tff('18', plain,
150.83/150.99	    ![X0 : nat, X1 : fun(nat, type)]:
150.83/150.99	      app_encode_app(dB, bool, 
150.83/150.99	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
150.83/150.99	          aa(dB, bool), 
150.83/150.99	          app_encode_app(type, fun(dB, bool), 
150.83/150.99	            app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	              app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
150.83/150.99	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                typing, X1)), 
150.83/150.99	            app_encode_app(nat, type, 
150.83/150.99	              app_encode_app(fun(nat, type), app_encode_fun(nat, type), 
150.83/150.99	                aa(nat, type), X1), X0))), app_encode_app(nat, dB, var, X0))
150.83/150.99	       = fTrue,
150.83/150.99	    inference('demod', [status(thm)], ['17', '4'])).
150.83/150.99	tff('19', plain,
150.83/150.99	    ![X0 : type, X1 : nat, X2 : fun(nat, type)]:
150.83/150.99	      app_encode_app(dB, bool, 
150.83/150.99	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
150.83/150.99	          aa(dB, bool), 
150.83/150.99	          app_encode_app(type, fun(dB, bool), 
150.83/150.99	            app_encode_app(fun(dB, fun(type, bool)), 
150.83/150.99	              app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
150.83/150.99	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
150.83/150.99	                typing, 
150.83/150.99	                app_encode_app(type, fun(nat, type), 
150.83/150.99	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
150.83/150.99	                    app_encode_app(fun(nat, type), 
150.83/150.99	                      app_encode_fun(nat, 
150.83/150.99	                        app_encode_fun(type, fun(nat, type))), shift(type), 
150.83/150.99	                      X2), X1), X0))), X0)), 
150.83/150.99	        app_encode_app(nat, dB, var, X1))
150.83/150.99	       = fTrue,
150.83/150.99	    inference('sup+', [status(thm)], ['10', '18'])).
150.83/150.99	tff(zf_stmt_161, axiom, (app_encode_app(bool,$o,pp,fTrue))).
150.83/150.99	tff('20', plain, app_encode_app(bool, $o, pp, fTrue),
150.83/150.99	    inference('cnf', [status(esa)], [zf_stmt_161])).
150.83/150.99	tff('21', plain, (~ $true | ~ $true),
150.83/150.99	    inference('demod', [status(thm)], ['8', '19', '20'])).
150.83/150.99	tff('22', plain, $false, inference('simplify', [status(thm)], ['21'])).
150.83/150.99	
150.83/150.99	% SZS output end Refutation
150.83/150.99	EOF
