0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n120.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:17:08 CST 2018
29.83/29.93	% done 1774 iterations in 29.738s
29.83/29.93	% SZS status Theorem for 'stdin'
29.83/29.93	% SZS output start Refutation
29.83/29.93	tff(zf_stmt_66, axiom,
29.83/29.93	  (app_encode_app(bool,$o,pp,
29.83/29.93	                  app_encode_app(type,bool,
29.83/29.93	                                 app_encode_app(fun(type,bool),
29.83/29.93	                                                app_encode_fun(type,bool),
29.83/29.93	                                                aa(type,bool),
29.83/29.93	                                                app_encode_app(dB,
29.83/29.93	                                                               fun(type,bool),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               fun(dB,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   type,bool)),
29.83/29.93	                                                               app_encode_fun(
29.83/29.93	                                                               dB,
29.83/29.93	                                                               fun(type,bool)),
29.83/29.93	                                                               aa(dB,
29.83/29.93	                                                                  fun(
29.83/29.93	                                                                  type,bool)),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               fun(nat,type),
29.83/29.93	                                                               fun(dB,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   type,bool)),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               fun(fun(
29.83/29.93	                                                                   nat,type),
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   dB,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   type,bool))),
29.83/29.93	                                                               app_encode_fun(
29.83/29.93	                                                               fun(nat,type),
29.83/29.93	                                                               fun(dB,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   type,bool))),
29.83/29.93	                                                               aa(fun(
29.83/29.93	                                                                  nat,type),
29.83/29.93	                                                                  fun(
29.83/29.93	                                                                  dB,
29.83/29.93	                                                                  fun(
29.83/29.93	                                                                  type,bool))),
29.83/29.93	                                                               typing),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               type,
29.83/29.93	                                                               fun(nat,type),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               fun(type,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   nat,type)),
29.83/29.93	                                                               app_encode_fun(
29.83/29.93	                                                               type,
29.83/29.93	                                                               fun(nat,type)),
29.83/29.93	                                                               aa(type,
29.83/29.93	                                                                  fun(
29.83/29.93	                                                                  nat,type)),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               nat,
29.83/29.93	                                                               fun(type,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   nat,type)),
29.83/29.93	                                                               app_encode_app(
29.83/29.93	                                                               fun(nat,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   type,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   nat,type))),
29.83/29.93	                                                               app_encode_fun(
29.83/29.93	                                                               nat,
29.83/29.93	                                                               fun(type,
29.83/29.93	                                                                   fun(
29.83/29.93	                                                                   nat,type))),
29.83/29.94	                                                               aa(nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type))),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(nat,type),
29.83/29.94	                                                               fun(nat,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,type))),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(fun(
29.83/29.94	                                                                   nat,type),
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,type)))),
29.83/29.94	                                                               app_encode_fun(
29.83/29.94	                                                               fun(nat,type),
29.83/29.94	                                                               fun(nat,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,type)))),
29.83/29.94	                                                               aa(fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)))),
29.83/29.94	                                                               shift(type)),e)),
29.83/29.94	                                                               i)),t))),a)),
29.83/29.94	                                 ua1)))).
29.83/29.94	tff('0', plain,
29.83/29.94	    app_encode_app(bool, $o, pp, 
29.83/29.94	      app_encode_app(type, bool, 
29.83/29.94	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	          aa(type, bool), 
29.83/29.94	          app_encode_app(dB, fun(type, bool), 
29.83/29.94	            app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
29.83/29.94	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
29.83/29.94	                app_encode_app(
29.83/29.94	                  fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                  app_encode_fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                  aa(fun(nat, type), fun(dB, fun(type, bool))), typing), 
29.83/29.94	                app_encode_app(type, fun(nat, type), 
29.83/29.94	                  app_encode_app(fun(type, fun(nat, type)), 
29.83/29.94	                    app_encode_fun(type, fun(nat, type)), 
29.83/29.94	                    aa(type, fun(nat, type)), 
29.83/29.94	                    app_encode_app(nat, fun(type, fun(nat, type)), 
29.83/29.94	                      app_encode_app(fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                        app_encode_fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                        aa(nat, fun(type, fun(nat, type))), 
29.83/29.94	                        app_encode_app(fun(nat, type), 
29.83/29.94	                          fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                          app_encode_app(
29.83/29.94	                            fun(fun(nat, type), 
29.83/29.94	                              fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                            app_encode_fun(fun(nat, type), 
29.83/29.94	                              fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                            aa(fun(nat, type), 
29.83/29.94	                              fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                            shift(type)), e)), i)), t))), a)), ua1)),
29.83/29.94	    inference('cnf', [status(esa)], [zf_stmt_66])).
29.83/29.94	tff(zf_stmt_63, axiom,
29.83/29.94	  (app_encode_app(bool,$o,pp,
29.83/29.94	                  app_encode_app(type,bool,
29.83/29.94	                                 app_encode_app(fun(type,bool),
29.83/29.94	                                                app_encode_fun(type,bool),
29.83/29.94	                                                aa(type,bool),
29.83/29.94	                                                app_encode_app(dB,
29.83/29.94	                                                               fun(type,bool),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,bool)),
29.83/29.94	                                                               app_encode_fun(
29.83/29.94	                                                               dB,
29.83/29.94	                                                               fun(type,bool)),
29.83/29.94	                                                               aa(dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool)),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(nat,type),
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,bool)),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(fun(
29.83/29.94	                                                                   nat,type),
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,bool))),
29.83/29.94	                                                               app_encode_fun(
29.83/29.94	                                                               fun(nat,type),
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   type,bool))),
29.83/29.94	                                                               aa(fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool))),
29.83/29.94	                                                               typing),e)),u)),
29.83/29.94	                                 t)))).
29.83/29.94	tff('1', plain,
29.83/29.94	    app_encode_app(bool, $o, pp, 
29.83/29.94	      app_encode_app(type, bool, 
29.83/29.94	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	          aa(type, bool), 
29.83/29.94	          app_encode_app(dB, fun(type, bool), 
29.83/29.94	            app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
29.83/29.94	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
29.83/29.94	                app_encode_app(
29.83/29.94	                  fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                  app_encode_fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                  aa(fun(nat, type), fun(dB, fun(type, bool))), typing), e)), 
29.83/29.94	            u)), t)),
29.83/29.94	    inference('cnf', [status(esa)], [zf_stmt_63])).
29.83/29.94	tff(zf_stmt_65, axiom,
29.83/29.94	  (![E1:fun(nat,type),T4:type,U3:dB,I1:nat]:
29.83/29.94	     (app_encode_app(bool,$o,pp,
29.83/29.94	                     app_encode_app(type,bool,
29.83/29.94	                                    app_encode_app(fun(type,bool),
29.83/29.94	                                                   app_encode_fun(type,bool),
29.83/29.94	                                                   aa(type,bool),
29.83/29.94	                                                   app_encode_app(dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool)),
29.83/29.94	                                                                  app_encode_fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool)),
29.83/29.94	                                                                  aa(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool)),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool)),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool))),
29.83/29.94	                                                                  app_encode_fun(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool))),
29.83/29.94	                                                                  aa(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,bool))),
29.83/29.94	                                                                  typing),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)),
29.83/29.94	                                                                  app_encode_fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)),
29.83/29.94	                                                                  aa(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type))),
29.83/29.94	                                                                  app_encode_fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type))),
29.83/29.94	                                                                  aa(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type))),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type))),
29.83/29.94	                                                                  app_encode_app(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)))),
29.83/29.94	                                                                  app_encode_fun(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)))),
29.83/29.94	                                                                  aa(
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type),
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  type,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  nat,type)))),
29.83/29.94	                                                                  shift(type)),
29.83/29.94	                                                                  E1)),I1)),t))),
29.83/29.94	                                                                  a)),
29.83/29.94	                                    T4)) =>
29.83/29.94	      (app_encode_app(bool,$o,pp,
29.83/29.94	                      app_encode_app(dB,bool,
29.83/29.94	                                     app_encode_app(fun(dB,bool),
29.83/29.94	                                                    app_encode_fun(dB,bool),
29.83/29.94	                                                    aa(dB,bool),it),
29.83/29.94	                                     U3)) =>
29.83/29.94	       (app_encode_app(bool,$o,pp,
29.83/29.94	                       app_encode_app(type,bool,
29.83/29.94	                                      app_encode_app(fun(type,bool),
29.83/29.94	                                                     app_encode_fun(type,bool),
29.83/29.94	                                                     aa(type,bool),
29.83/29.94	                                                     app_encode_app(dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool)),
29.83/29.94	                                                                    app_encode_fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool)),
29.83/29.94	                                                                    aa(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool)),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,type),
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool)),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,type),
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool))),
29.83/29.94	                                                                    app_encode_fun(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,type),
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool))),
29.83/29.94	                                                                    aa(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,type),
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    type,bool))),
29.83/29.94	                                                                    typing),
29.83/29.94	                                                                    E1)),U3)),
29.83/29.94	                                      t)) =>
29.83/29.94	        app_encode_app(bool,$o,pp,
29.83/29.94	                       app_encode_app(dB,bool,
29.83/29.94	                                      app_encode_app(fun(dB,bool),
29.83/29.94	                                                     app_encode_fun(dB,bool),
29.83/29.94	                                                     aa(dB,bool),it),
29.83/29.94	                                      app_encode_app(nat,dB,
29.83/29.94	                                                     app_encode_app(fun(
29.83/29.94	                                                                    nat,dB),
29.83/29.94	                                                                    app_encode_fun(
29.83/29.94	                                                                    nat,dB),
29.83/29.94	                                                                    aa(
29.83/29.94	                                                                    nat,dB),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB)),
29.83/29.94	                                                                    app_encode_fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB)),
29.83/29.94	                                                                    aa(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB)),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB)),
29.83/29.94	                                                                    app_encode_app(
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB))),
29.83/29.94	                                                                    app_encode_fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB))),
29.83/29.94	                                                                    aa(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB))),
29.83/29.94	                                                                    subst),a)),
29.83/29.94	                                                                    U3)),
29.83/29.94	                                                     I1)))))))).
29.83/29.94	tff('2', plain,
29.83/29.94	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
29.83/29.94	      (~ app_encode_app(bool, $o, pp, 
29.83/29.94	           app_encode_app(dB, bool, 
29.83/29.94	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	               aa(dB, bool), it), X0))
29.83/29.94	       | ~ app_encode_app(bool, $o, pp, 
29.83/29.94	             app_encode_app(type, bool, 
29.83/29.94	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	                 aa(type, bool), 
29.83/29.94	                 app_encode_app(dB, fun(type, bool), 
29.83/29.94	                   app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_fun(dB, fun(type, bool)), 
29.83/29.94	                     aa(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_app(fun(nat, type), 
29.83/29.94	                       fun(dB, fun(type, bool)), 
29.83/29.94	                       app_encode_app(
29.83/29.94	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         app_encode_fun(fun(nat, type), 
29.83/29.94	                           fun(dB, fun(type, bool))), 
29.83/29.94	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         typing), X1)), X0)), t))
29.83/29.94	       | ~ app_encode_app(bool, $o, pp, 
29.83/29.94	             app_encode_app(type, bool, 
29.83/29.94	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	                 aa(type, bool), 
29.83/29.94	                 app_encode_app(dB, fun(type, bool), 
29.83/29.94	                   app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_fun(dB, fun(type, bool)), 
29.83/29.94	                     aa(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_app(fun(nat, type), 
29.83/29.94	                       fun(dB, fun(type, bool)), 
29.83/29.94	                       app_encode_app(
29.83/29.94	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         app_encode_fun(fun(nat, type), 
29.83/29.94	                           fun(dB, fun(type, bool))), 
29.83/29.94	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         typing), 
29.83/29.94	                       app_encode_app(type, fun(nat, type), 
29.83/29.94	                         app_encode_app(fun(type, fun(nat, type)), 
29.83/29.94	                           app_encode_fun(type, fun(nat, type)), 
29.83/29.94	                           aa(type, fun(nat, type)), 
29.83/29.94	                           app_encode_app(nat, fun(type, fun(nat, type)), 
29.83/29.94	                             app_encode_app(
29.83/29.94	                               fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               aa(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_app(fun(nat, type), 
29.83/29.94	                                 fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                                 app_encode_app(
29.83/29.94	                                   fun(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   app_encode_fun(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   aa(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   shift(type)), X1)), X2)), t))), a)), X3))
29.83/29.94	       | app_encode_app(bool, $o, pp, 
29.83/29.94	           app_encode_app(dB, bool, 
29.83/29.94	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	               aa(dB, bool), it), 
29.83/29.94	             app_encode_app(nat, dB, 
29.83/29.94	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
29.83/29.94	                 aa(nat, dB), 
29.83/29.94	                 app_encode_app(dB, fun(nat, dB), 
29.83/29.94	                   app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), X0)), 
29.83/29.94	               X2)))),
29.83/29.94	    inference('cnf', [status(esa)], [zf_stmt_65])).
29.83/29.94	tff('3', plain,
29.83/29.94	    ![X0 : nat, X1 : type]:
29.83/29.94	      (~ $true
29.83/29.94	       | app_encode_app(bool, $o, pp, 
29.83/29.94	           app_encode_app(dB, bool, 
29.83/29.94	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	               aa(dB, bool), it), 
29.83/29.94	             app_encode_app(nat, dB, 
29.83/29.94	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
29.83/29.94	                 aa(nat, dB), 
29.83/29.94	                 app_encode_app(dB, fun(nat, dB), 
29.83/29.94	                   app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), X0)))
29.83/29.94	       | ~ app_encode_app(bool, $o, pp, 
29.83/29.94	             app_encode_app(type, bool, 
29.83/29.94	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	                 aa(type, bool), 
29.83/29.94	                 app_encode_app(dB, fun(type, bool), 
29.83/29.94	                   app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_fun(dB, fun(type, bool)), 
29.83/29.94	                     aa(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_app(fun(nat, type), 
29.83/29.94	                       fun(dB, fun(type, bool)), 
29.83/29.94	                       app_encode_app(
29.83/29.94	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         app_encode_fun(fun(nat, type), 
29.83/29.94	                           fun(dB, fun(type, bool))), 
29.83/29.94	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         typing), 
29.83/29.94	                       app_encode_app(type, fun(nat, type), 
29.83/29.94	                         app_encode_app(fun(type, fun(nat, type)), 
29.83/29.94	                           app_encode_fun(type, fun(nat, type)), 
29.83/29.94	                           aa(type, fun(nat, type)), 
29.83/29.94	                           app_encode_app(nat, fun(type, fun(nat, type)), 
29.83/29.94	                             app_encode_app(
29.83/29.94	                               fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               aa(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_app(fun(nat, type), 
29.83/29.94	                                 fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                                 app_encode_app(
29.83/29.94	                                   fun(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   app_encode_fun(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   aa(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   shift(type)), e)), X0)), t))), a)), X1))
29.83/29.94	       | ~ app_encode_app(bool, $o, pp, 
29.83/29.94	             app_encode_app(dB, bool, 
29.83/29.94	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	                 aa(dB, bool), it), u))),
29.83/29.94	    inference('sup-', [status(thm)], ['1', '2'])).
29.83/29.94	tff(zf_stmt_62, axiom,
29.83/29.94	  (app_encode_app(bool,$o,pp,
29.83/29.94	                  app_encode_app(dB,bool,
29.83/29.94	                                 app_encode_app(fun(dB,bool),
29.83/29.94	                                                app_encode_fun(dB,bool),
29.83/29.94	                                                aa(dB,bool),it),
29.83/29.94	                                 u)))).
29.83/29.94	tff('4', plain,
29.83/29.94	    app_encode_app(bool, $o, pp, 
29.83/29.94	      app_encode_app(dB, bool, 
29.83/29.94	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	          aa(dB, bool), it), u)),
29.83/29.94	    inference('cnf', [status(esa)], [zf_stmt_62])).
29.83/29.94	tff('5', plain,
29.83/29.94	    ![X0 : nat, X1 : type]:
29.83/29.94	      (~ $true
29.83/29.94	       | app_encode_app(bool, $o, pp, 
29.83/29.94	           app_encode_app(dB, bool, 
29.83/29.94	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	               aa(dB, bool), it), 
29.83/29.94	             app_encode_app(nat, dB, 
29.83/29.94	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
29.83/29.94	                 aa(nat, dB), 
29.83/29.94	                 app_encode_app(dB, fun(nat, dB), 
29.83/29.94	                   app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), X0)))
29.83/29.94	       | ~ app_encode_app(bool, $o, pp, 
29.83/29.94	             app_encode_app(type, bool, 
29.83/29.94	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	                 aa(type, bool), 
29.83/29.94	                 app_encode_app(dB, fun(type, bool), 
29.83/29.94	                   app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_fun(dB, fun(type, bool)), 
29.83/29.94	                     aa(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_app(fun(nat, type), 
29.83/29.94	                       fun(dB, fun(type, bool)), 
29.83/29.94	                       app_encode_app(
29.83/29.94	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         app_encode_fun(fun(nat, type), 
29.83/29.94	                           fun(dB, fun(type, bool))), 
29.83/29.94	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                         typing), 
29.83/29.94	                       app_encode_app(type, fun(nat, type), 
29.83/29.94	                         app_encode_app(fun(type, fun(nat, type)), 
29.83/29.94	                           app_encode_fun(type, fun(nat, type)), 
29.83/29.94	                           aa(type, fun(nat, type)), 
29.83/29.94	                           app_encode_app(nat, fun(type, fun(nat, type)), 
29.83/29.94	                             app_encode_app(
29.83/29.94	                               fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               aa(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_app(fun(nat, type), 
29.83/29.94	                                 fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                                 app_encode_app(
29.83/29.94	                                   fun(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   app_encode_fun(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   aa(fun(nat, type), 
29.83/29.94	                                     fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                   shift(type)), e)), X0)), t))), a)), X1))
29.83/29.94	       | ~ $true),
29.83/29.94	    inference('demod', [status(thm)], ['3', '4'])).
29.83/29.94	tff('6', plain,
29.83/29.94	    ![X0 : nat, X1 : type]:
29.83/29.94	      (~ app_encode_app(bool, $o, pp, 
29.83/29.94	           app_encode_app(type, bool, 
29.83/29.94	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
29.83/29.94	               aa(type, bool), 
29.83/29.94	               app_encode_app(dB, fun(type, bool), 
29.83/29.94	                 app_encode_app(fun(dB, fun(type, bool)), 
29.83/29.94	                   app_encode_fun(dB, fun(type, bool)), 
29.83/29.94	                   aa(dB, fun(type, bool)), 
29.83/29.94	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
29.83/29.94	                     app_encode_app(
29.83/29.94	                       fun(fun(nat, type), fun(dB, fun(type, bool))), 
29.83/29.94	                       app_encode_fun(fun(nat, type), 
29.83/29.94	                         fun(dB, fun(type, bool))), 
29.83/29.94	                       aa(fun(nat, type), fun(dB, fun(type, bool))), typing), 
29.83/29.94	                     app_encode_app(type, fun(nat, type), 
29.83/29.94	                       app_encode_app(fun(type, fun(nat, type)), 
29.83/29.94	                         app_encode_fun(type, fun(nat, type)), 
29.83/29.94	                         aa(type, fun(nat, type)), 
29.83/29.94	                         app_encode_app(nat, fun(type, fun(nat, type)), 
29.83/29.94	                           app_encode_app(
29.83/29.94	                             fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                             app_encode_fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                             aa(nat, fun(type, fun(nat, type))), 
29.83/29.94	                             app_encode_app(fun(nat, type), 
29.83/29.94	                               fun(nat, fun(type, fun(nat, type))), 
29.83/29.94	                               app_encode_app(
29.83/29.94	                                 fun(fun(nat, type), 
29.83/29.94	                                   fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                 app_encode_fun(fun(nat, type), 
29.83/29.94	                                   fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                 aa(fun(nat, type), 
29.83/29.94	                                   fun(nat, fun(type, fun(nat, type)))), 
29.83/29.94	                                 shift(type)), e)), X0)), t))), a)), X1))
29.83/29.94	       | app_encode_app(bool, $o, pp, 
29.83/29.94	           app_encode_app(dB, bool, 
29.83/29.94	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	               aa(dB, bool), it), 
29.83/29.94	             app_encode_app(nat, dB, 
29.83/29.94	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
29.83/29.94	                 aa(nat, dB), 
29.83/29.94	                 app_encode_app(dB, fun(nat, dB), 
29.83/29.94	                   app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), X0)))),
29.83/29.94	    inference('simplify', [status(thm)], ['5'])).
29.83/29.94	tff('7', plain,
29.83/29.94	    (~ $true
29.83/29.94	     | app_encode_app(bool, $o, pp, 
29.83/29.94	         app_encode_app(dB, bool, 
29.83/29.94	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	             aa(dB, bool), it), 
29.83/29.94	           app_encode_app(nat, dB, 
29.83/29.94	             app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
29.83/29.94	               aa(nat, dB), 
29.83/29.94	               app_encode_app(dB, fun(nat, dB), 
29.83/29.94	                 app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                   app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                   app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                     app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                       app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                       aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i)))),
29.83/29.94	    inference('sup-', [status(thm)], ['0', '6'])).
29.83/29.94	tff('8', plain,
29.83/29.94	    app_encode_app(bool, $o, pp, 
29.83/29.94	      app_encode_app(dB, bool, 
29.83/29.94	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	          aa(dB, bool), it), 
29.83/29.94	        app_encode_app(nat, dB, 
29.83/29.94	          app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), aa(nat, dB), 
29.83/29.94	            app_encode_app(dB, fun(nat, dB), 
29.83/29.94	              app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                  app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                    aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))),
29.83/29.94	    inference('simplify', [status(thm)], ['7'])).
29.83/29.94	tff(zf_stmt_174, conjecture,
29.83/29.94	  (app_encode_app(bool,$o,pp,
29.83/29.94	                  app_encode_app(dB,bool,
29.83/29.94	                                 app_encode_app(fun(dB,bool),
29.83/29.94	                                                app_encode_fun(dB,bool),
29.83/29.94	                                                aa(dB,bool),it),
29.83/29.94	                                 app_encode_app(nat,dB,
29.83/29.94	                                                app_encode_app(fun(nat,dB),
29.83/29.94	                                                               app_encode_fun(
29.83/29.94	                                                               nat,dB),
29.83/29.94	                                                               aa(nat,dB),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               dB,
29.83/29.94	                                                               fun(nat,dB),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,dB)),
29.83/29.94	                                                               app_encode_fun(
29.83/29.94	                                                               dB,fun(nat,dB)),
29.83/29.94	                                                               aa(dB,
29.83/29.94	                                                                  fun(nat,dB)),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               dB,
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,dB)),
29.83/29.94	                                                               app_encode_app(
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,dB))),
29.83/29.94	                                                               app_encode_fun(
29.83/29.94	                                                               dB,
29.83/29.94	                                                               fun(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,dB))),
29.83/29.94	                                                               aa(dB,
29.83/29.94	                                                                  fun(
29.83/29.94	                                                                  dB,
29.83/29.94	                                                                  fun(nat,dB))),
29.83/29.94	                                                               subst),a)),u)),
29.83/29.94	                                                i))))).
29.83/29.94	tff(zf_stmt_0, negated_conjecture,
29.83/29.94	  (~
29.83/29.94	    app_encode_app(bool,$o,pp,
29.83/29.94	                   app_encode_app(dB,bool,
29.83/29.94	                                  app_encode_app(fun(dB,bool),
29.83/29.94	                                                 app_encode_fun(dB,bool),
29.83/29.94	                                                 aa(dB,bool),it),
29.83/29.94	                                  app_encode_app(nat,dB,
29.83/29.94	                                                 app_encode_app(fun(nat,dB),
29.83/29.94	                                                                app_encode_fun(
29.83/29.94	                                                                nat,dB),
29.83/29.94	                                                                aa(nat,dB),
29.83/29.94	                                                                app_encode_app(
29.83/29.94	                                                                dB,
29.83/29.94	                                                                fun(nat,dB),
29.83/29.94	                                                                app_encode_app(
29.83/29.94	                                                                fun(dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB)),
29.83/29.94	                                                                app_encode_fun(
29.83/29.94	                                                                dB,
29.83/29.94	                                                                fun(nat,dB)),
29.83/29.94	                                                                aa(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,dB)),
29.83/29.94	                                                                app_encode_app(
29.83/29.94	                                                                dB,
29.83/29.94	                                                                fun(dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB)),
29.83/29.94	                                                                app_encode_app(
29.83/29.94	                                                                fun(dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB))),
29.83/29.94	                                                                app_encode_fun(
29.83/29.94	                                                                dB,
29.83/29.94	                                                                fun(dB,
29.83/29.94	                                                                    fun(
29.83/29.94	                                                                    nat,dB))),
29.83/29.94	                                                                aa(dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   dB,
29.83/29.94	                                                                   fun(
29.83/29.94	                                                                   nat,dB))),
29.83/29.94	                                                                subst),a)),u)),
29.83/29.94	                                                 i))))).
29.83/29.94	tff('9', plain,
29.83/29.94	    ~ app_encode_app(bool, $o, pp, 
29.83/29.94	        app_encode_app(dB, bool, 
29.83/29.94	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
29.83/29.94	            aa(dB, bool), it), 
29.83/29.94	          app_encode_app(nat, dB, 
29.83/29.94	            app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
29.83/29.94	              aa(nat, dB), 
29.83/29.94	              app_encode_app(dB, fun(nat, dB), 
29.83/29.94	                app_encode_app(fun(dB, fun(nat, dB)), 
29.83/29.94	                  app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
29.83/29.94	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
29.83/29.94	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
29.83/29.94	                      aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))),
29.83/29.94	    inference('cnf', [status(esa)], [zf_stmt_0])).
29.83/29.94	tff('10', plain, ~ $true, inference('sup-', [status(thm)], ['8', '9'])).
29.83/29.94	tff('11', plain, $false, inference('simplify', [status(thm)], ['10'])).
29.83/29.94	
29.83/29.94	% SZS output end Refutation
29.83/29.94	EOF
