0.00/0.00	% File    : /export/starexec/sandbox/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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n067.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:16:53 CST 2018
26.35/26.50	% done 1794 iterations in 26.301s
26.35/26.50	% SZS status Theorem for 'stdin'
26.35/26.50	% SZS output start Refutation
26.35/26.50	tff(zf_stmt_67, axiom,
26.35/26.50	  (app_encode_app(bool,$o,pp,
26.35/26.50	                  app_encode_app(type,bool,
26.35/26.50	                                 app_encode_app(fun(type,bool),
26.35/26.50	                                                app_encode_fun(type,bool),
26.35/26.50	                                                aa(type,bool),
26.35/26.50	                                                app_encode_app(dB,
26.35/26.50	                                                               fun(type,bool),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool)),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               dB,
26.35/26.50	                                                               fun(type,bool)),
26.35/26.50	                                                               aa(dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool)),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               fun(dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool)),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(fun(
26.35/26.50	                                                                   nat,type),
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool))),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               fun(dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool))),
26.35/26.50	                                                               aa(fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool))),
26.35/26.50	                                                               typing),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               type,
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type)),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               type,
26.35/26.50	                                                               fun(nat,type)),
26.35/26.50	                                                               aa(type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               nat,
26.35/26.50	                                                               fun(type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type)),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(nat,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type))),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               nat,
26.35/26.50	                                                               fun(type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type))),
26.35/26.50	                                                               aa(nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type))),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               fun(nat,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type))),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(fun(
26.35/26.50	                                                                   nat,type),
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type)))),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               fun(nat,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   nat,type)))),
26.35/26.50	                                                               aa(fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)))),
26.35/26.50	                                                               shift(type)),e)),
26.35/26.50	                                                               i)),t))),a)),
26.35/26.50	                                 ua1)))).
26.35/26.50	tff('0', plain,
26.35/26.50	    app_encode_app(bool, $o, pp, 
26.35/26.50	      app_encode_app(type, bool, 
26.35/26.50	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	          aa(type, bool), 
26.35/26.50	          app_encode_app(dB, fun(type, bool), 
26.35/26.50	            app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
26.35/26.50	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
26.35/26.50	                app_encode_app(
26.35/26.50	                  fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                  app_encode_fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                  aa(fun(nat, type), fun(dB, fun(type, bool))), typing), 
26.35/26.50	                app_encode_app(type, fun(nat, type), 
26.35/26.50	                  app_encode_app(fun(type, fun(nat, type)), 
26.35/26.50	                    app_encode_fun(type, fun(nat, type)), 
26.35/26.50	                    aa(type, fun(nat, type)), 
26.35/26.50	                    app_encode_app(nat, fun(type, fun(nat, type)), 
26.35/26.50	                      app_encode_app(fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                        app_encode_fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                        aa(nat, fun(type, fun(nat, type))), 
26.35/26.50	                        app_encode_app(fun(nat, type), 
26.35/26.50	                          fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                          app_encode_app(
26.35/26.50	                            fun(fun(nat, type), 
26.35/26.50	                              fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                            app_encode_fun(fun(nat, type), 
26.35/26.50	                              fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                            aa(fun(nat, type), 
26.35/26.50	                              fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                            shift(type)), e)), i)), t))), a)), ua1)),
26.35/26.50	    inference('cnf', [status(esa)], [zf_stmt_67])).
26.35/26.50	tff(zf_stmt_64, axiom,
26.35/26.50	  (app_encode_app(bool,$o,pp,
26.35/26.50	                  app_encode_app(type,bool,
26.35/26.50	                                 app_encode_app(fun(type,bool),
26.35/26.50	                                                app_encode_fun(type,bool),
26.35/26.50	                                                aa(type,bool),
26.35/26.50	                                                app_encode_app(dB,
26.35/26.50	                                                               fun(type,bool),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool)),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               dB,
26.35/26.50	                                                               fun(type,bool)),
26.35/26.50	                                                               aa(dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool)),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               fun(dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool)),
26.35/26.50	                                                               app_encode_app(
26.35/26.50	                                                               fun(fun(
26.35/26.50	                                                                   nat,type),
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool))),
26.35/26.50	                                                               app_encode_fun(
26.35/26.50	                                                               fun(nat,type),
26.35/26.50	                                                               fun(dB,
26.35/26.50	                                                                   fun(
26.35/26.50	                                                                   type,bool))),
26.35/26.50	                                                               aa(fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool))),
26.35/26.50	                                                               typing),e)),u)),
26.35/26.50	                                 t)))).
26.35/26.50	tff('1', plain,
26.35/26.50	    app_encode_app(bool, $o, pp, 
26.35/26.50	      app_encode_app(type, bool, 
26.35/26.50	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	          aa(type, bool), 
26.35/26.50	          app_encode_app(dB, fun(type, bool), 
26.35/26.50	            app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
26.35/26.50	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
26.35/26.50	                app_encode_app(
26.35/26.50	                  fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                  app_encode_fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                  aa(fun(nat, type), fun(dB, fun(type, bool))), typing), e)), 
26.35/26.50	            u)), t)),
26.35/26.50	    inference('cnf', [status(esa)], [zf_stmt_64])).
26.35/26.50	tff(zf_stmt_66, axiom,
26.35/26.50	  (![E1:fun(nat,type),T4:type,U3:dB,I1:nat]:
26.35/26.50	     (app_encode_app(bool,$o,pp,
26.35/26.50	                     app_encode_app(type,bool,
26.35/26.50	                                    app_encode_app(fun(type,bool),
26.35/26.50	                                                   app_encode_fun(type,bool),
26.35/26.50	                                                   aa(type,bool),
26.35/26.50	                                                   app_encode_app(dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool)),
26.35/26.50	                                                                  app_encode_fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool)),
26.35/26.50	                                                                  aa(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool)),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool)),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool))),
26.35/26.50	                                                                  app_encode_fun(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool))),
26.35/26.50	                                                                  aa(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  dB,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,bool))),
26.35/26.50	                                                                  typing),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)),
26.35/26.50	                                                                  app_encode_fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)),
26.35/26.50	                                                                  aa(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type))),
26.35/26.50	                                                                  app_encode_fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type))),
26.35/26.50	                                                                  aa(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type))),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type))),
26.35/26.50	                                                                  app_encode_app(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)))),
26.35/26.50	                                                                  app_encode_fun(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)))),
26.35/26.50	                                                                  aa(
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type),
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  type,
26.35/26.50	                                                                  fun(
26.35/26.50	                                                                  nat,type)))),
26.35/26.50	                                                                  shift(type)),
26.35/26.50	                                                                  E1)),I1)),t))),
26.35/26.50	                                                                  a)),
26.35/26.50	                                    T4)) =>
26.35/26.50	      (app_encode_app(bool,$o,pp,
26.35/26.50	                      app_encode_app(dB,bool,
26.35/26.50	                                     app_encode_app(fun(dB,bool),
26.35/26.50	                                                    app_encode_fun(dB,bool),
26.35/26.50	                                                    aa(dB,bool),it),
26.35/26.50	                                     U3)) =>
26.35/26.50	       (app_encode_app(bool,$o,pp,
26.35/26.50	                       app_encode_app(type,bool,
26.35/26.50	                                      app_encode_app(fun(type,bool),
26.35/26.50	                                                     app_encode_fun(type,bool),
26.35/26.50	                                                     aa(type,bool),
26.35/26.50	                                                     app_encode_app(dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool)),
26.35/26.50	                                                                    app_encode_fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool)),
26.35/26.50	                                                                    aa(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool)),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,type),
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool)),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,type),
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool))),
26.35/26.50	                                                                    app_encode_fun(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,type),
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool))),
26.35/26.50	                                                                    aa(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,type),
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    type,bool))),
26.35/26.50	                                                                    typing),
26.35/26.50	                                                                    E1)),U3)),
26.35/26.50	                                      t)) =>
26.35/26.50	        app_encode_app(bool,$o,pp,
26.35/26.50	                       app_encode_app(dB,bool,
26.35/26.50	                                      app_encode_app(fun(dB,bool),
26.35/26.50	                                                     app_encode_fun(dB,bool),
26.35/26.50	                                                     aa(dB,bool),it),
26.35/26.50	                                      app_encode_app(nat,dB,
26.35/26.50	                                                     app_encode_app(fun(
26.35/26.50	                                                                    nat,dB),
26.35/26.50	                                                                    app_encode_fun(
26.35/26.50	                                                                    nat,dB),
26.35/26.50	                                                                    aa(
26.35/26.50	                                                                    nat,dB),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB)),
26.35/26.50	                                                                    app_encode_fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB)),
26.35/26.50	                                                                    aa(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB)),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB)),
26.35/26.50	                                                                    app_encode_app(
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB))),
26.35/26.50	                                                                    app_encode_fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB))),
26.35/26.50	                                                                    aa(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    dB,
26.35/26.50	                                                                    fun(
26.35/26.50	                                                                    nat,dB))),
26.35/26.50	                                                                    subst),a)),
26.35/26.50	                                                                    U3)),
26.35/26.50	                                                     I1)))))))).
26.35/26.50	tff('2', plain,
26.35/26.50	    ![X4 : dB, X5 : fun(nat, type), X6 : nat, X7 : type]:
26.35/26.50	      (~ app_encode_app(bool, $o, pp, 
26.35/26.50	           app_encode_app(dB, bool, 
26.35/26.50	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	               aa(dB, bool), it), X4))
26.35/26.50	       | ~ app_encode_app(bool, $o, pp, 
26.35/26.50	             app_encode_app(type, bool, 
26.35/26.50	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	                 aa(type, bool), 
26.35/26.50	                 app_encode_app(dB, fun(type, bool), 
26.35/26.50	                   app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_fun(dB, fun(type, bool)), 
26.35/26.50	                     aa(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_app(fun(nat, type), 
26.35/26.50	                       fun(dB, fun(type, bool)), 
26.35/26.50	                       app_encode_app(
26.35/26.50	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         app_encode_fun(fun(nat, type), 
26.35/26.50	                           fun(dB, fun(type, bool))), 
26.35/26.50	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         typing), X5)), X4)), t))
26.35/26.50	       | ~ app_encode_app(bool, $o, pp, 
26.35/26.50	             app_encode_app(type, bool, 
26.35/26.50	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	                 aa(type, bool), 
26.35/26.50	                 app_encode_app(dB, fun(type, bool), 
26.35/26.50	                   app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_fun(dB, fun(type, bool)), 
26.35/26.50	                     aa(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_app(fun(nat, type), 
26.35/26.50	                       fun(dB, fun(type, bool)), 
26.35/26.50	                       app_encode_app(
26.35/26.50	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         app_encode_fun(fun(nat, type), 
26.35/26.50	                           fun(dB, fun(type, bool))), 
26.35/26.50	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         typing), 
26.35/26.50	                       app_encode_app(type, fun(nat, type), 
26.35/26.50	                         app_encode_app(fun(type, fun(nat, type)), 
26.35/26.50	                           app_encode_fun(type, fun(nat, type)), 
26.35/26.50	                           aa(type, fun(nat, type)), 
26.35/26.50	                           app_encode_app(nat, fun(type, fun(nat, type)), 
26.35/26.50	                             app_encode_app(
26.35/26.50	                               fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               aa(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_app(fun(nat, type), 
26.35/26.50	                                 fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                                 app_encode_app(
26.35/26.50	                                   fun(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   app_encode_fun(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   aa(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   shift(type)), X5)), X6)), t))), a)), X7))
26.35/26.50	       | app_encode_app(bool, $o, pp, 
26.35/26.50	           app_encode_app(dB, bool, 
26.35/26.50	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	               aa(dB, bool), it), 
26.35/26.50	             app_encode_app(nat, dB, 
26.35/26.50	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
26.35/26.50	                 aa(nat, dB), 
26.35/26.50	                 app_encode_app(dB, fun(nat, dB), 
26.35/26.50	                   app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.50	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), X4)), 
26.35/26.50	               X6)))),
26.35/26.50	    inference('cnf', [status(esa)], [zf_stmt_66])).
26.35/26.50	tff('3', plain,
26.35/26.50	    ![X0 : nat, X1 : type]:
26.35/26.50	      (~ $true
26.35/26.50	       | app_encode_app(bool, $o, pp, 
26.35/26.50	           app_encode_app(dB, bool, 
26.35/26.50	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	               aa(dB, bool), it), 
26.35/26.50	             app_encode_app(nat, dB, 
26.35/26.50	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
26.35/26.50	                 aa(nat, dB), 
26.35/26.50	                 app_encode_app(dB, fun(nat, dB), 
26.35/26.50	                   app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.50	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), X0)))
26.35/26.50	       | ~ app_encode_app(bool, $o, pp, 
26.35/26.50	             app_encode_app(type, bool, 
26.35/26.50	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	                 aa(type, bool), 
26.35/26.50	                 app_encode_app(dB, fun(type, bool), 
26.35/26.50	                   app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_fun(dB, fun(type, bool)), 
26.35/26.50	                     aa(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_app(fun(nat, type), 
26.35/26.50	                       fun(dB, fun(type, bool)), 
26.35/26.50	                       app_encode_app(
26.35/26.50	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         app_encode_fun(fun(nat, type), 
26.35/26.50	                           fun(dB, fun(type, bool))), 
26.35/26.50	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         typing), 
26.35/26.50	                       app_encode_app(type, fun(nat, type), 
26.35/26.50	                         app_encode_app(fun(type, fun(nat, type)), 
26.35/26.50	                           app_encode_fun(type, fun(nat, type)), 
26.35/26.50	                           aa(type, fun(nat, type)), 
26.35/26.50	                           app_encode_app(nat, fun(type, fun(nat, type)), 
26.35/26.50	                             app_encode_app(
26.35/26.50	                               fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               aa(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_app(fun(nat, type), 
26.35/26.50	                                 fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                                 app_encode_app(
26.35/26.50	                                   fun(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   app_encode_fun(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   aa(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   shift(type)), e)), X0)), t))), a)), X1))
26.35/26.50	       | ~ app_encode_app(bool, $o, pp, 
26.35/26.50	             app_encode_app(dB, bool, 
26.35/26.50	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	                 aa(dB, bool), it), u))),
26.35/26.50	    inference('sup-', [status(thm)], ['1', '2'])).
26.35/26.50	tff(zf_stmt_63, axiom,
26.35/26.50	  (app_encode_app(bool,$o,pp,
26.35/26.50	                  app_encode_app(dB,bool,
26.35/26.50	                                 app_encode_app(fun(dB,bool),
26.35/26.50	                                                app_encode_fun(dB,bool),
26.35/26.50	                                                aa(dB,bool),it),
26.35/26.50	                                 u)))).
26.35/26.50	tff('4', plain,
26.35/26.50	    app_encode_app(bool, $o, pp, 
26.35/26.50	      app_encode_app(dB, bool, 
26.35/26.50	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	          aa(dB, bool), it), u)),
26.35/26.50	    inference('cnf', [status(esa)], [zf_stmt_63])).
26.35/26.50	tff('5', plain,
26.35/26.50	    ![X0 : nat, X1 : type]:
26.35/26.50	      (~ $true
26.35/26.50	       | app_encode_app(bool, $o, pp, 
26.35/26.50	           app_encode_app(dB, bool, 
26.35/26.50	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	               aa(dB, bool), it), 
26.35/26.50	             app_encode_app(nat, dB, 
26.35/26.50	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
26.35/26.50	                 aa(nat, dB), 
26.35/26.50	                 app_encode_app(dB, fun(nat, dB), 
26.35/26.50	                   app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.50	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), X0)))
26.35/26.50	       | ~ app_encode_app(bool, $o, pp, 
26.35/26.50	             app_encode_app(type, bool, 
26.35/26.50	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	                 aa(type, bool), 
26.35/26.50	                 app_encode_app(dB, fun(type, bool), 
26.35/26.50	                   app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_fun(dB, fun(type, bool)), 
26.35/26.50	                     aa(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_app(fun(nat, type), 
26.35/26.50	                       fun(dB, fun(type, bool)), 
26.35/26.50	                       app_encode_app(
26.35/26.50	                         fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         app_encode_fun(fun(nat, type), 
26.35/26.50	                           fun(dB, fun(type, bool))), 
26.35/26.50	                         aa(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                         typing), 
26.35/26.50	                       app_encode_app(type, fun(nat, type), 
26.35/26.50	                         app_encode_app(fun(type, fun(nat, type)), 
26.35/26.50	                           app_encode_fun(type, fun(nat, type)), 
26.35/26.50	                           aa(type, fun(nat, type)), 
26.35/26.50	                           app_encode_app(nat, fun(type, fun(nat, type)), 
26.35/26.50	                             app_encode_app(
26.35/26.50	                               fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               aa(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_app(fun(nat, type), 
26.35/26.50	                                 fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                                 app_encode_app(
26.35/26.50	                                   fun(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   app_encode_fun(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   aa(fun(nat, type), 
26.35/26.50	                                     fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                   shift(type)), e)), X0)), t))), a)), X1))
26.35/26.50	       | ~ $true),
26.35/26.50	    inference('demod', [status(thm)], ['3', '4'])).
26.35/26.50	tff('6', plain,
26.35/26.50	    ![X0 : nat, X1 : type]:
26.35/26.50	      (~ app_encode_app(bool, $o, pp, 
26.35/26.50	           app_encode_app(type, bool, 
26.35/26.50	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
26.35/26.50	               aa(type, bool), 
26.35/26.50	               app_encode_app(dB, fun(type, bool), 
26.35/26.50	                 app_encode_app(fun(dB, fun(type, bool)), 
26.35/26.50	                   app_encode_fun(dB, fun(type, bool)), 
26.35/26.50	                   aa(dB, fun(type, bool)), 
26.35/26.50	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
26.35/26.50	                     app_encode_app(
26.35/26.50	                       fun(fun(nat, type), fun(dB, fun(type, bool))), 
26.35/26.50	                       app_encode_fun(fun(nat, type), 
26.35/26.50	                         fun(dB, fun(type, bool))), 
26.35/26.50	                       aa(fun(nat, type), fun(dB, fun(type, bool))), typing), 
26.35/26.50	                     app_encode_app(type, fun(nat, type), 
26.35/26.50	                       app_encode_app(fun(type, fun(nat, type)), 
26.35/26.50	                         app_encode_fun(type, fun(nat, type)), 
26.35/26.50	                         aa(type, fun(nat, type)), 
26.35/26.50	                         app_encode_app(nat, fun(type, fun(nat, type)), 
26.35/26.50	                           app_encode_app(
26.35/26.50	                             fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                             app_encode_fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                             aa(nat, fun(type, fun(nat, type))), 
26.35/26.50	                             app_encode_app(fun(nat, type), 
26.35/26.50	                               fun(nat, fun(type, fun(nat, type))), 
26.35/26.50	                               app_encode_app(
26.35/26.50	                                 fun(fun(nat, type), 
26.35/26.50	                                   fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                 app_encode_fun(fun(nat, type), 
26.35/26.50	                                   fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                 aa(fun(nat, type), 
26.35/26.50	                                   fun(nat, fun(type, fun(nat, type)))), 
26.35/26.50	                                 shift(type)), e)), X0)), t))), a)), X1))
26.35/26.50	       | app_encode_app(bool, $o, pp, 
26.35/26.50	           app_encode_app(dB, bool, 
26.35/26.50	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	               aa(dB, bool), it), 
26.35/26.50	             app_encode_app(nat, dB, 
26.35/26.50	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
26.35/26.50	                 aa(nat, dB), 
26.35/26.50	                 app_encode_app(dB, fun(nat, dB), 
26.35/26.50	                   app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.50	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.50	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.50	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), X0)))),
26.35/26.50	    inference('simplify', [status(thm)], ['5'])).
26.35/26.50	tff('7', plain,
26.35/26.50	    (~ $true
26.35/26.50	     | app_encode_app(bool, $o, pp, 
26.35/26.50	         app_encode_app(dB, bool, 
26.35/26.50	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.50	             aa(dB, bool), it), 
26.35/26.50	           app_encode_app(nat, dB, 
26.35/26.50	             app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
26.35/26.50	               aa(nat, dB), 
26.35/26.50	               app_encode_app(dB, fun(nat, dB), 
26.35/26.51	                 app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.51	                   app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.51	                   app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.51	                     app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.51	                       app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.51	                       aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i)))),
26.35/26.51	    inference('sup-', [status(thm)], ['0', '6'])).
26.35/26.51	tff('8', plain,
26.35/26.51	    app_encode_app(bool, $o, pp, 
26.35/26.51	      app_encode_app(dB, bool, 
26.35/26.51	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.51	          aa(dB, bool), it), 
26.35/26.51	        app_encode_app(nat, dB, 
26.35/26.51	          app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), aa(nat, dB), 
26.35/26.51	            app_encode_app(dB, fun(nat, dB), 
26.35/26.51	              app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.51	                app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.51	                app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.51	                  app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.51	                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.51	                    aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))),
26.35/26.51	    inference('simplify', [status(thm)], ['7'])).
26.35/26.51	tff(zf_stmt_175, conjecture,
26.35/26.51	  (app_encode_app(bool,$o,pp,
26.35/26.51	                  app_encode_app(dB,bool,
26.35/26.51	                                 app_encode_app(fun(dB,bool),
26.35/26.51	                                                app_encode_fun(dB,bool),
26.35/26.51	                                                aa(dB,bool),it),
26.35/26.51	                                 app_encode_app(nat,dB,
26.35/26.51	                                                app_encode_app(fun(nat,dB),
26.35/26.51	                                                               app_encode_fun(
26.35/26.51	                                                               nat,dB),
26.35/26.51	                                                               aa(nat,dB),
26.35/26.51	                                                               app_encode_app(
26.35/26.51	                                                               dB,
26.35/26.51	                                                               fun(nat,dB),
26.35/26.51	                                                               app_encode_app(
26.35/26.51	                                                               fun(dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   nat,dB)),
26.35/26.51	                                                               app_encode_fun(
26.35/26.51	                                                               dB,fun(nat,dB)),
26.35/26.51	                                                               aa(dB,
26.35/26.51	                                                                  fun(nat,dB)),
26.35/26.51	                                                               app_encode_app(
26.35/26.51	                                                               dB,
26.35/26.51	                                                               fun(dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   nat,dB)),
26.35/26.51	                                                               app_encode_app(
26.35/26.51	                                                               fun(dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   nat,dB))),
26.35/26.51	                                                               app_encode_fun(
26.35/26.51	                                                               dB,
26.35/26.51	                                                               fun(dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   nat,dB))),
26.35/26.51	                                                               aa(dB,
26.35/26.51	                                                                  fun(
26.35/26.51	                                                                  dB,
26.35/26.51	                                                                  fun(nat,dB))),
26.35/26.51	                                                               subst),a)),u)),
26.35/26.51	                                                i))))).
26.35/26.51	tff(zf_stmt_0, negated_conjecture,
26.35/26.51	  (~
26.35/26.51	    app_encode_app(bool,$o,pp,
26.35/26.51	                   app_encode_app(dB,bool,
26.35/26.51	                                  app_encode_app(fun(dB,bool),
26.35/26.51	                                                 app_encode_fun(dB,bool),
26.35/26.51	                                                 aa(dB,bool),it),
26.35/26.51	                                  app_encode_app(nat,dB,
26.35/26.51	                                                 app_encode_app(fun(nat,dB),
26.35/26.51	                                                                app_encode_fun(
26.35/26.51	                                                                nat,dB),
26.35/26.51	                                                                aa(nat,dB),
26.35/26.51	                                                                app_encode_app(
26.35/26.51	                                                                dB,
26.35/26.51	                                                                fun(nat,dB),
26.35/26.51	                                                                app_encode_app(
26.35/26.51	                                                                fun(dB,
26.35/26.51	                                                                    fun(
26.35/26.51	                                                                    nat,dB)),
26.35/26.51	                                                                app_encode_fun(
26.35/26.51	                                                                dB,
26.35/26.51	                                                                fun(nat,dB)),
26.35/26.51	                                                                aa(dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   nat,dB)),
26.35/26.51	                                                                app_encode_app(
26.35/26.51	                                                                dB,
26.35/26.51	                                                                fun(dB,
26.35/26.51	                                                                    fun(
26.35/26.51	                                                                    nat,dB)),
26.35/26.51	                                                                app_encode_app(
26.35/26.51	                                                                fun(dB,
26.35/26.51	                                                                    fun(
26.35/26.51	                                                                    dB,
26.35/26.51	                                                                    fun(
26.35/26.51	                                                                    nat,dB))),
26.35/26.51	                                                                app_encode_fun(
26.35/26.51	                                                                dB,
26.35/26.51	                                                                fun(dB,
26.35/26.51	                                                                    fun(
26.35/26.51	                                                                    nat,dB))),
26.35/26.51	                                                                aa(dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   dB,
26.35/26.51	                                                                   fun(
26.35/26.51	                                                                   nat,dB))),
26.35/26.51	                                                                subst),a)),u)),
26.35/26.51	                                                 i))))).
26.35/26.51	tff('9', plain,
26.35/26.51	    ~ app_encode_app(bool, $o, pp, 
26.35/26.51	        app_encode_app(dB, bool, 
26.35/26.51	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
26.35/26.51	            aa(dB, bool), it), 
26.35/26.51	          app_encode_app(nat, dB, 
26.35/26.51	            app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
26.35/26.51	              aa(nat, dB), 
26.35/26.51	              app_encode_app(dB, fun(nat, dB), 
26.35/26.51	                app_encode_app(fun(dB, fun(nat, dB)), 
26.35/26.51	                  app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
26.35/26.51	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
26.35/26.51	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.51	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
26.35/26.51	                      aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))),
26.35/26.51	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.35/26.51	tff('10', plain, ~ $true, inference('sup-', [status(thm)], ['8', '9'])).
26.35/26.51	tff('11', plain, $false, inference('simplify', [status(thm)], ['10'])).
26.35/26.51	
26.35/26.51	% SZS output end Refutation
26.42/26.51	EOF
