0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n161.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:38:23 CST 2018
4.82/5.03	% done 1153 iterations in 4.824s
4.82/5.03	% SZS status Theorem for 'stdin'
4.82/5.03	% SZS output start Refutation
4.82/5.03	tff(zf_stmt_169, conjecture,
4.82/5.03	  (app_encode_app(bool,$o,pp,
4.82/5.03	                  app_encode_app(dB,bool,
4.82/5.03	                                 app_encode_app(fun(dB,bool),
4.82/5.03	                                                app_encode_fun(dB,bool),
4.82/5.03	                                                aa(dB,bool),it),
4.82/5.03	                                 app_encode_app(list(dB),dB,
4.82/5.03	                                                app_encode_app(dB,
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               list(dB),dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(dB,dB)),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               list(dB),dB)),
4.82/5.03	                                                               foldl(dB,dB),
4.82/5.03	                                                               app),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,dB,
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(nat,dB),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               nat,dB),
4.82/5.03	                                                               aa(nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,fun(nat,dB)),
4.82/5.03	                                                               aa(dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               aa(dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB))),
4.82/5.03	                                                               subst),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,dB,
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(nat,dB),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               nat,dB),
4.82/5.03	                                                               aa(nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,fun(nat,dB)),
4.82/5.03	                                                               aa(dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               aa(dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB))),
4.82/5.03	                                                               subst),ra)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,dB,var,
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,nat,suc,ia)))),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,nat,suc,ja)))),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,dB,
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(nat,dB),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               nat,dB),
4.82/5.03	                                                               aa(nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,fun(nat,dB)),
4.82/5.03	                                                               aa(dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               aa(dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB))),
4.82/5.03	                                                               subst),s)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,dB,var,ia))),
4.82/5.03	                                                               ja))),
4.82/5.03	                                                               zero_zero(nat))),
4.82/5.03	                                                app_encode_app(list(dB),
4.82/5.03	                                                               list(dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,dB),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               list(dB),
4.82/5.03	                                                               list(dB)),
4.82/5.03	                                                               map(dB,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,
4.82/5.03	                                                               fun(dB,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               nat,fun(dB,dB)),
4.82/5.03	                                                               combc(
4.82/5.03	                                                               dB,nat,dB),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               app_encode_fun(
4.82/5.03	                                                               dB,
4.82/5.03	                                                               fun(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                               combc(
4.82/5.03	                                                               dB,dB,
4.82/5.03	                                                               fun(nat,dB)),
4.82/5.03	                                                               subst),
4.82/5.03	                                                               app_encode_app(
4.82/5.03	                                                               nat,dB,var,ia))),
4.82/5.03	                                                               ja)),ss)))))).
4.82/5.03	tff(zf_stmt_0, negated_conjecture,
4.82/5.03	  (~
4.82/5.03	    app_encode_app(bool,$o,pp,
4.82/5.03	                   app_encode_app(dB,bool,
4.82/5.03	                                  app_encode_app(fun(dB,bool),
4.82/5.03	                                                 app_encode_fun(dB,bool),
4.82/5.03	                                                 aa(dB,bool),it),
4.82/5.03	                                  app_encode_app(list(dB),dB,
4.82/5.03	                                                 app_encode_app(dB,
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                list(dB),dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,dB)),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                list(dB),dB)),
4.82/5.03	                                                                foldl(dB,dB),
4.82/5.03	                                                                app),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,dB,
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(nat,dB),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                nat,dB),
4.82/5.03	                                                                aa(nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(nat,dB)),
4.82/5.03	                                                                aa(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                aa(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                                subst),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,dB,
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(nat,dB),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                nat,dB),
4.82/5.03	                                                                aa(nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(nat,dB)),
4.82/5.03	                                                                aa(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                aa(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                                subst),ra)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,dB,var,
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,nat,suc,
4.82/5.03	                                                                ia)))),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,nat,suc,
4.82/5.03	                                                                ja)))),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,dB,
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(nat,dB),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                nat,dB),
4.82/5.03	                                                                aa(nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(nat,dB)),
4.82/5.03	                                                                aa(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                aa(dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   dB,
4.82/5.03	                                                                   fun(
4.82/5.03	                                                                   nat,dB))),
4.82/5.03	                                                                subst),s)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,dB,var,ia))),
4.82/5.03	                                                                ja))),
4.82/5.03	                                                                zero_zero(
4.82/5.03	                                                                nat))),
4.82/5.03	                                                 app_encode_app(list(dB),
4.82/5.03	                                                                list(dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,dB),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                list(dB),
4.82/5.03	                                                                list(dB)),
4.82/5.03	                                                                map(dB,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,
4.82/5.03	                                                                fun(dB,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                nat,
4.82/5.03	                                                                fun(dB,dB)),
4.82/5.03	                                                                combc(
4.82/5.03	                                                                dB,nat,dB),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                app_encode_fun(
4.82/5.03	                                                                dB,
4.82/5.03	                                                                fun(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                combc(
4.82/5.03	                                                                dB,dB,
4.82/5.03	                                                                fun(nat,dB)),
4.82/5.03	                                                                subst),
4.82/5.03	                                                                app_encode_app(
4.82/5.03	                                                                nat,dB,var,ia))),
4.82/5.03	                                                                ja)),ss)))))).
4.82/5.03	tff('0', plain,
4.82/5.03	    ~ app_encode_app(bool, $o, pp, 
4.82/5.03	        app_encode_app(dB, bool, 
4.82/5.03	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
4.82/5.03	            aa(dB, bool), it), 
4.82/5.03	          app_encode_app(list(dB), dB, 
4.82/5.03	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
4.82/5.03	              app_encode_app(fun(dB, fun(dB, dB)), 
4.82/5.03	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
4.82/5.03	                foldl(dB, dB), app), 
4.82/5.03	              app_encode_app(nat, dB, 
4.82/5.03	                app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
4.82/5.03	                  aa(nat, dB), 
4.82/5.03	                  app_encode_app(dB, fun(nat, dB), 
4.82/5.03	                    app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.03	                      app_encode_fun(dB, fun(nat, dB)), 
4.82/5.03	                      aa(dB, fun(nat, dB)), 
4.82/5.03	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.03	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                          aa(dB, fun(dB, fun(nat, dB))), subst), 
4.82/5.03	                        app_encode_app(nat, dB, 
4.82/5.03	                          app_encode_app(fun(nat, dB), 
4.82/5.03	                            app_encode_fun(nat, dB), aa(nat, dB), 
4.82/5.03	                            app_encode_app(dB, fun(nat, dB), 
4.82/5.03	                              app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.03	                                app_encode_fun(dB, fun(nat, dB)), 
4.82/5.03	                                aa(dB, fun(nat, dB)), 
4.82/5.03	                                app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.03	                                  app_encode_app(
4.82/5.03	                                    fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                                    aa(dB, fun(dB, fun(nat, dB))), subst), 
4.82/5.03	                                  ra)), 
4.82/5.03	                              app_encode_app(nat, dB, var, 
4.82/5.03	                                app_encode_app(nat, nat, suc, ia)))), 
4.82/5.03	                          app_encode_app(nat, nat, suc, ja)))), 
4.82/5.03	                    app_encode_app(nat, dB, 
4.82/5.03	                      app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
4.82/5.03	                        aa(nat, dB), 
4.82/5.03	                        app_encode_app(dB, fun(nat, dB), 
4.82/5.03	                          app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.03	                            app_encode_fun(dB, fun(nat, dB)), 
4.82/5.03	                            aa(dB, fun(nat, dB)), 
4.82/5.03	                            app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.03	                              app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                                app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                                aa(dB, fun(dB, fun(nat, dB))), subst), s)), 
4.82/5.03	                          app_encode_app(nat, dB, var, ia))), ja))), 
4.82/5.03	                zero_zero(nat))), 
4.82/5.03	            app_encode_app(list(dB), list(dB), 
4.82/5.03	              app_encode_app(fun(dB, dB), 
4.82/5.03	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
4.82/5.03	                app_encode_app(nat, fun(dB, dB), 
4.82/5.03	                  app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.03	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
4.82/5.03	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.03	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                        combc(dB, dB, fun(nat, dB)), subst), 
4.82/5.03	                      app_encode_app(nat, dB, var, ia))), ja)), ss)))),
4.82/5.03	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.82/5.03	tff(zf_stmt_159, axiom,
4.82/5.03	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
4.82/5.03	     (app_encode_app(A,C,
4.82/5.03	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
4.82/5.03	                                    app_encode_app(B,fun(A,C),
4.82/5.03	                                                   app_encode_app(fun(
4.82/5.03	                                                                  A,fun(B,C)),
4.82/5.03	                                                                  app_encode_fun(
4.82/5.03	                                                                  B,fun(A,C)),
4.82/5.03	                                                                  combc(
4.82/5.03	                                                                  A,B,C),P),
4.82/5.03	                                                   Q)),
4.82/5.03	                     R) =
4.82/5.03	      app_encode_app(B,C,
4.82/5.03	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
4.82/5.03	                                    app_encode_app(A,fun(B,C),
4.82/5.03	                                                   app_encode_app(fun(
4.82/5.03	                                                                  A,fun(B,C)),
4.82/5.03	                                                                  app_encode_fun(
4.82/5.03	                                                                  A,fun(B,C)),
4.82/5.03	                                                                  aa(
4.82/5.03	                                                                  A,fun(B,C)),
4.82/5.03	                                                                  P),
4.82/5.03	                                                   R)),
4.82/5.03	                     Q)))).
4.82/5.03	tff('1', plain,
4.82/5.03	    ![X293 : $tType, X294 : $tType, X295 : $tType, 
4.82/5.03	      X296 : fun(X295, fun(X293, X294)), X297 : X295, X298 : X293]:
4.82/5.03	      app_encode_app(X295, X294, 
4.82/5.03	        app_encode_app(fun(X295, X294), app_encode_fun(X295, X294), 
4.82/5.03	          aa(X295, X294), 
4.82/5.03	          app_encode_app(X293, fun(X295, X294), 
4.82/5.03	            app_encode_app(fun(X295, fun(X293, X294)), 
4.82/5.03	              app_encode_fun(X293, fun(X295, X294)), 
4.82/5.03	              combc(X295, X293, X294), X296), X298)), X297)
4.82/5.03	       = app_encode_app(X293, X294, 
4.82/5.03	           app_encode_app(fun(X293, X294), app_encode_fun(X293, X294), 
4.82/5.03	             aa(X293, X294), 
4.82/5.03	             app_encode_app(X295, fun(X293, X294), 
4.82/5.03	               app_encode_app(fun(X295, fun(X293, X294)), 
4.82/5.03	                 app_encode_fun(X295, fun(X293, X294)), 
4.82/5.03	                 aa(X295, fun(X293, X294)), X296), X297)), X298),
4.82/5.03	    inference('cnf', [status(esa)], [zf_stmt_159])).
4.82/5.03	tff(zf_stmt_146, axiom,
4.82/5.03	  (![S:dB,T:dB]:
4.82/5.03	     (app_encode_app(nat,dB,
4.82/5.03	                     app_encode_app(dB,app_encode_fun(nat,dB),
4.82/5.03	                                    app_encode_app(dB,
4.82/5.03	                                                   app_encode_fun(dB,
4.82/5.03	                                                                  app_encode_fun(
4.82/5.03	                                                                  nat,dB)),
4.82/5.03	                                                   substn,T),
4.82/5.03	                                    S),
4.82/5.03	                     zero_zero(nat)) =
4.82/5.03	      app_encode_app(nat,dB,
4.82/5.03	                     app_encode_app(fun(nat,dB),app_encode_fun(nat,dB),
4.82/5.03	                                    aa(nat,dB),
4.82/5.03	                                    app_encode_app(dB,fun(nat,dB),
4.82/5.03	                                                   app_encode_app(fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                                  app_encode_fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                                  aa(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                                  app_encode_app(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB)),
4.82/5.03	                                                                  app_encode_app(
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB))),
4.82/5.03	                                                                  app_encode_fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB))),
4.82/5.03	                                                                  aa(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(
4.82/5.03	                                                                  dB,
4.82/5.03	                                                                  fun(nat,dB))),
4.82/5.03	                                                                  subst),T)),
4.82/5.03	                                                   S)),
4.82/5.03	                     zero_zero(nat))))).
4.82/5.03	tff('2', plain,
4.82/5.03	    ![X282 : dB, X283 : dB]:
4.82/5.03	      app_encode_app(nat, dB, 
4.82/5.03	        app_encode_app(dB, app_encode_fun(nat, dB), 
4.82/5.03	          app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
4.82/5.03	            substn, X282), X283), zero_zero(nat))
4.82/5.03	       = app_encode_app(nat, dB, 
4.82/5.03	           app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
4.82/5.03	             aa(nat, dB), 
4.82/5.03	             app_encode_app(dB, fun(nat, dB), 
4.82/5.03	               app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.03	                 app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
4.82/5.03	                 app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.03	                   app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                     app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                     aa(dB, fun(dB, fun(nat, dB))), subst), X282)), X283)), 
4.82/5.03	           zero_zero(nat)),
4.82/5.03	    inference('cnf', [status(esa)], [zf_stmt_146])).
4.82/5.03	tff('3', plain,
4.82/5.03	    ![X282 : dB, X283 : dB]:
4.82/5.03	      app_encode_app(nat, dB, 
4.82/5.03	        app_encode_app(dB, app_encode_fun(nat, dB), 
4.82/5.03	          app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
4.82/5.03	            substn, X282), X283), zero_zero(nat))
4.82/5.03	       = app_encode_app(dB, dB, 
4.82/5.03	           app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
4.82/5.03	             app_encode_app(nat, fun(dB, dB), 
4.82/5.03	               app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.03	                 app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
4.82/5.03	                 app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.03	                   app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                     app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.03	                     combc(dB, dB, fun(nat, dB)), subst), X283)), 
4.82/5.03	               zero_zero(nat))), X282),
4.82/5.03	    inference('demod', [status(thm)], ['2', '1', '1'])).
4.82/5.03	tff(zf_stmt_166, axiom,
4.82/5.03	  (![I:nat,J:nat]:
4.82/5.03	     app_encode_app(bool,$o,pp,
4.82/5.03	                    app_encode_app(dB,bool,
4.82/5.03	                                   app_encode_app(fun(dB,bool),
4.82/5.03	                                                  app_encode_fun(dB,bool),
4.82/5.03	                                                  aa(dB,bool),it),
4.82/5.03	                                   app_encode_app(list(dB),dB,
4.82/5.03	                                                  app_encode_app(dB,
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 list(dB),dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(dB,dB)),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 list(dB),dB)),
4.82/5.03	                                                                 foldl(dB,dB),
4.82/5.03	                                                                 app),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,dB,
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(nat,dB),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 nat,dB),
4.82/5.03	                                                                 aa(nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 aa(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 aa(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                 subst),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,dB,
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(nat,dB),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 nat,dB),
4.82/5.03	                                                                 aa(nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 aa(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 aa(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                 subst),ra)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,dB,var,
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,nat,suc,
4.82/5.03	                                                                 I)))),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,nat,suc,
4.82/5.03	                                                                 J)))),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,dB,
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(nat,dB),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 nat,dB),
4.82/5.03	                                                                 aa(nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 aa(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 aa(dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    dB,
4.82/5.03	                                                                    fun(
4.82/5.03	                                                                    nat,dB))),
4.82/5.03	                                                                 subst),s)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,dB,var,I))),
4.82/5.03	                                                                 J))),
4.82/5.03	                                                                 zero_zero(
4.82/5.03	                                                                 nat))),
4.82/5.03	                                                  app_encode_app(list(dB),
4.82/5.03	                                                                 list(dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(dB,dB),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 list(dB),
4.82/5.03	                                                                 list(dB)),
4.82/5.03	                                                                 map(dB,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,
4.82/5.03	                                                                 fun(dB,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 nat,
4.82/5.03	                                                                 fun(dB,dB)),
4.82/5.03	                                                                 combc(
4.82/5.03	                                                                 dB,nat,dB),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 app_encode_fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(
4.82/5.03	                                                                 dB,
4.82/5.03	                                                                 fun(nat,dB))),
4.82/5.03	                                                                 combc(
4.82/5.03	                                                                 dB,dB,
4.82/5.03	                                                                 fun(nat,dB)),
4.82/5.03	                                                                 subst),
4.82/5.03	                                                                 app_encode_app(
4.82/5.03	                                                                 nat,dB,var,I))),
4.82/5.03	                                                                 J)),ss)))))).
4.82/5.03	tff('4', plain,
4.82/5.03	    ![X313 : nat, X314 : nat]:
4.82/5.03	      app_encode_app(bool, $o, pp, 
4.82/5.03	        app_encode_app(dB, bool, 
4.82/5.03	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
4.82/5.03	            aa(dB, bool), it), 
4.82/5.03	          app_encode_app(list(dB), dB, 
4.82/5.03	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
4.82/5.04	              app_encode_app(fun(dB, fun(dB, dB)), 
4.82/5.04	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
4.82/5.04	                foldl(dB, dB), app), 
4.82/5.04	              app_encode_app(nat, dB, 
4.82/5.04	                app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
4.82/5.04	                  aa(nat, dB), 
4.82/5.04	                  app_encode_app(dB, fun(nat, dB), 
4.82/5.04	                    app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                      app_encode_fun(dB, fun(nat, dB)), 
4.82/5.04	                      aa(dB, fun(nat, dB)), 
4.82/5.04	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                          aa(dB, fun(dB, fun(nat, dB))), subst), 
4.82/5.04	                        app_encode_app(nat, dB, 
4.82/5.04	                          app_encode_app(fun(nat, dB), 
4.82/5.04	                            app_encode_fun(nat, dB), aa(nat, dB), 
4.82/5.04	                            app_encode_app(dB, fun(nat, dB), 
4.82/5.04	                              app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                                app_encode_fun(dB, fun(nat, dB)), 
4.82/5.04	                                aa(dB, fun(nat, dB)), 
4.82/5.04	                                app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                                  app_encode_app(
4.82/5.04	                                    fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                                    aa(dB, fun(dB, fun(nat, dB))), subst), 
4.82/5.04	                                  ra)), 
4.82/5.04	                              app_encode_app(nat, dB, var, 
4.82/5.04	                                app_encode_app(nat, nat, suc, X313)))), 
4.82/5.04	                          app_encode_app(nat, nat, suc, X314)))), 
4.82/5.04	                    app_encode_app(nat, dB, 
4.82/5.04	                      app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
4.82/5.04	                        aa(nat, dB), 
4.82/5.04	                        app_encode_app(dB, fun(nat, dB), 
4.82/5.04	                          app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                            app_encode_fun(dB, fun(nat, dB)), 
4.82/5.04	                            aa(dB, fun(nat, dB)), 
4.82/5.04	                            app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                              app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                                app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                                aa(dB, fun(dB, fun(nat, dB))), subst), s)), 
4.82/5.04	                          app_encode_app(nat, dB, var, X313))), X314))), 
4.82/5.04	                zero_zero(nat))), 
4.82/5.04	            app_encode_app(list(dB), list(dB), 
4.82/5.04	              app_encode_app(fun(dB, dB), 
4.82/5.04	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
4.82/5.04	                app_encode_app(nat, fun(dB, dB), 
4.82/5.04	                  app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
4.82/5.04	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                        combc(dB, dB, fun(nat, dB)), subst), 
4.82/5.04	                      app_encode_app(nat, dB, var, X313))), X314)), ss)))),
4.82/5.04	    inference('cnf', [status(esa)], [zf_stmt_166])).
4.82/5.04	tff('5', plain,
4.82/5.04	    ![X313 : nat, X314 : nat]:
4.82/5.04	      app_encode_app(bool, $o, pp, 
4.82/5.04	        app_encode_app(dB, bool, 
4.82/5.04	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
4.82/5.04	            aa(dB, bool), it), 
4.82/5.04	          app_encode_app(list(dB), dB, 
4.82/5.04	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
4.82/5.04	              app_encode_app(fun(dB, fun(dB, dB)), 
4.82/5.04	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
4.82/5.04	                foldl(dB, dB), app), 
4.82/5.04	              app_encode_app(nat, dB, 
4.82/5.04	                app_encode_app(dB, app_encode_fun(nat, dB), 
4.82/5.04	                  app_encode_app(dB, 
4.82/5.04	                    app_encode_fun(dB, app_encode_fun(nat, dB)), substn, 
4.82/5.04	                    app_encode_app(dB, dB, 
4.82/5.04	                      app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
4.82/5.04	                        aa(dB, dB), 
4.82/5.04	                        app_encode_app(nat, fun(dB, dB), 
4.82/5.04	                          app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                            app_encode_fun(nat, fun(dB, dB)), 
4.82/5.04	                            combc(dB, nat, dB), 
4.82/5.04	                            app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                              app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                                app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                                combc(dB, dB, fun(nat, dB)), subst), 
4.82/5.04	                              app_encode_app(nat, dB, var, 
4.82/5.04	                                app_encode_app(nat, nat, suc, X313)))), 
4.82/5.04	                          app_encode_app(nat, nat, suc, X314))), ra)), 
4.82/5.04	                  app_encode_app(dB, dB, 
4.82/5.04	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
4.82/5.04	                      aa(dB, dB), 
4.82/5.04	                      app_encode_app(nat, fun(dB, dB), 
4.82/5.04	                        app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                          app_encode_fun(nat, fun(dB, dB)), 
4.82/5.04	                          combc(dB, nat, dB), 
4.82/5.04	                          app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                            app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                              app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                              combc(dB, dB, fun(nat, dB)), subst), 
4.82/5.04	                            app_encode_app(nat, dB, var, X313))), X314)), s)), 
4.82/5.04	                zero_zero(nat))), 
4.82/5.04	            app_encode_app(list(dB), list(dB), 
4.82/5.04	              app_encode_app(fun(dB, dB), 
4.82/5.04	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
4.82/5.04	                app_encode_app(nat, fun(dB, dB), 
4.82/5.04	                  app_encode_app(fun(dB, fun(nat, dB)), 
4.82/5.04	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
4.82/5.04	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
4.82/5.04	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
4.82/5.04	                        combc(dB, dB, fun(nat, dB)), subst), 
4.82/5.04	                      app_encode_app(nat, dB, var, X313))), X314)), ss)))),
4.82/5.04	    inference('demod', [status(thm)],
4.82/5.04	              ['4', '1', '1', '1', '1', '1', '1', '3'])).
4.82/5.04	tff('6', plain, ~ $true,
4.82/5.04	    inference('demod', [status(thm)],
4.82/5.04	              ['0', '1', '1', '1', '1', '1', '1', '3', '5'])).
4.82/5.04	tff('7', plain, $false, inference('simplify', [status(thm)], ['6'])).
4.82/5.04	
4.82/5.04	% SZS output end Refutation
4.82/5.04	EOF
