0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n073.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:22:09 CST 2018
11.90/12.06	% done 970 iterations in 11.863s
11.90/12.06	% SZS status Theorem for 'stdin'
11.90/12.06	% SZS output start Refutation
11.90/12.07	tff(zf_stmt_121, axiom,
11.90/12.07	  (![A:$tType,Aa:list(A),A1:fun(A,bool)]:
11.90/12.07	     (app_encode_app(list(A),$o,
11.90/12.07	                     app_encode_app(fun(A,bool),app_encode_fun(list(A),$o),
11.90/12.07	                                    listsp(A),A1),
11.90/12.07	                     Aa) <=>
11.90/12.07	      ((Aa = nil(A)) | 
11.90/12.07	       (?[A3:A,L:list(A)]:
11.90/12.07	          ((Aa =
11.90/12.07	            app_encode_app(list(A),list(A),
11.90/12.07	                           app_encode_app(fun(list(A),list(A)),
11.90/12.07	                                          app_encode_fun(list(A),list(A)),
11.90/12.07	                                          aa(list(A),list(A)),
11.90/12.07	                                          app_encode_app(A,
11.90/12.07	                                                         fun(list(A),list(A)),
11.90/12.07	                                                         app_encode_app(
11.90/12.07	                                                         fun(A,
11.90/12.07	                                                             fun(list(A),
11.90/12.07	                                                                 list(A))),
11.90/12.07	                                                         app_encode_fun(
11.90/12.07	                                                         A,
11.90/12.07	                                                         fun(list(A),list(A))),
11.90/12.07	                                                         aa(A,
11.90/12.07	                                                            fun(list(A),
11.90/12.07	                                                                list(A))),
11.90/12.07	                                                         cons(A)),A3)),
11.90/12.07	                           L)) & 
11.90/12.07	           app_encode_app(bool,$o,pp,
11.90/12.07	                          app_encode_app(A,bool,
11.90/12.07	                                         app_encode_app(fun(A,bool),
11.90/12.07	                                                        app_encode_fun(
11.90/12.07	                                                        A,bool),aa(A,bool),A1),
11.90/12.07	                                         A3)) & 
11.90/12.07	           app_encode_app(list(A),$o,
11.90/12.07	                          app_encode_app(fun(A,bool),
11.90/12.07	                                         app_encode_fun(list(A),$o),
11.90/12.07	                                         listsp(A),A1),
11.90/12.07	                          L))))))).
11.90/12.07	tff('0', plain,
11.90/12.07	    ![X176 : $tType, X178 : list(X176), X179 : fun(X176, bool), X180 : X176, 
11.90/12.07	      X181 : list(X176)]:
11.90/12.07	      (app_encode_app(list(X176), $o, 
11.90/12.07	         app_encode_app(fun(X176, bool), app_encode_fun(list(X176), $o), 
11.90/12.07	           listsp(X176), X179), X178)
11.90/12.07	       | ~ app_encode_app(bool, $o, pp, 
11.90/12.07	             app_encode_app(X176, bool, 
11.90/12.07	               app_encode_app(fun(X176, bool), app_encode_fun(X176, bool), 
11.90/12.07	                 aa(X176, bool), X179), X180))
11.90/12.07	       | ~ app_encode_app(list(X176), $o, 
11.90/12.07	             app_encode_app(fun(X176, bool), app_encode_fun(list(X176), $o), 
11.90/12.07	               listsp(X176), X179), X181)
11.90/12.07	       | X178
11.90/12.07	          != app_encode_app(list(X176), list(X176), 
11.90/12.07	               app_encode_app(fun(list(X176), list(X176)), 
11.90/12.07	                 app_encode_fun(list(X176), list(X176)), 
11.90/12.07	                 aa(list(X176), list(X176)), 
11.90/12.07	                 app_encode_app(X176, fun(list(X176), list(X176)), 
11.90/12.07	                   app_encode_app(fun(X176, fun(list(X176), list(X176))), 
11.90/12.07	                     app_encode_fun(X176, fun(list(X176), list(X176))), 
11.90/12.07	                     aa(X176, fun(list(X176), list(X176))), cons(X176)), 
11.90/12.07	                   X180)), X181)),
11.90/12.07	    inference('cnf', [status(esa)], [zf_stmt_121])).
11.90/12.07	tff('1', plain,
11.90/12.07	    ![X176 : $tType, X179 : fun(X176, bool), X180 : X176, X181 : list(X176)]:
11.90/12.07	      (~ app_encode_app(list(X176), $o, 
11.90/12.07	           app_encode_app(fun(X176, bool), app_encode_fun(list(X176), $o), 
11.90/12.07	             listsp(X176), X179), X181)
11.90/12.07	       | ~ app_encode_app(bool, $o, pp, 
11.90/12.07	             app_encode_app(X176, bool, 
11.90/12.07	               app_encode_app(fun(X176, bool), app_encode_fun(X176, bool), 
11.90/12.07	                 aa(X176, bool), X179), X180))
11.90/12.07	       | app_encode_app(list(X176), $o, 
11.90/12.07	           app_encode_app(fun(X176, bool), app_encode_fun(list(X176), $o), 
11.90/12.07	             listsp(X176), X179), 
11.90/12.07	           app_encode_app(list(X176), list(X176), 
11.90/12.07	             app_encode_app(fun(list(X176), list(X176)), 
11.90/12.07	               app_encode_fun(list(X176), list(X176)), 
11.90/12.07	               aa(list(X176), list(X176)), 
11.90/12.07	               app_encode_app(X176, fun(list(X176), list(X176)), 
11.90/12.07	                 app_encode_app(fun(X176, fun(list(X176), list(X176))), 
11.90/12.07	                   app_encode_fun(X176, fun(list(X176), list(X176))), 
11.90/12.07	                   aa(X176, fun(list(X176), list(X176))), cons(X176)), X180)), 
11.90/12.07	             X181))),
11.90/12.07	    inference('simplify', [status(thm)], ['0'])).
11.90/12.07	tff(zf_stmt_181, conjecture,
11.90/12.07	  (app_encode_app(list(dB),$o,
11.90/12.07	                  app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
11.90/12.07	                                 listsp(dB),it),
11.90/12.07	                  app_encode_app(list(dB),list(dB),
11.90/12.07	                                 app_encode_app(fun(list(dB),list(dB)),
11.90/12.07	                                                app_encode_fun(list(dB),
11.90/12.07	                                                               list(dB)),
11.90/12.07	                                                aa(list(dB),list(dB)),
11.90/12.07	                                                app_encode_app(dB,
11.90/12.07	                                                               fun(list(dB),
11.90/12.07	                                                                   list(dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  list(dB),
11.90/12.07	                                                                  list(dB))),
11.90/12.07	                                                               cons(dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               nat,dB,
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(nat,dB),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               nat,dB),
11.90/12.07	                                                               aa(nat,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(nat,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,fun(nat,dB)),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(nat,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  dB,
11.90/12.07	                                                                  fun(nat,dB))),
11.90/12.07	                                                               subst),a)),u)),
11.90/12.07	                                                               i))),
11.90/12.07	                                 app_encode_app(list(dB),list(dB),
11.90/12.07	                                                app_encode_app(fun(list(dB),
11.90/12.07	                                                                   list(dB)),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               list(dB),
11.90/12.07	                                                               list(dB)),
11.90/12.07	                                                               aa(list(dB),
11.90/12.07	                                                                  list(dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,dB),
11.90/12.07	                                                               fun(list(dB),
11.90/12.07	                                                                   list(dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(fun(dB,dB),
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               fun(dB,dB),
11.90/12.07	                                                               fun(list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                               aa(fun(dB,dB),
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  list(dB),
11.90/12.07	                                                                  list(dB))),
11.90/12.07	                                                               map(dB,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               nat,
11.90/12.07	                                                               fun(dB,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(nat,
11.90/12.07	                                                                   fun(dB,dB)),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               nat,fun(dB,dB)),
11.90/12.07	                                                               aa(nat,
11.90/12.07	                                                                  fun(dB,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               fun(nat,
11.90/12.07	                                                                   fun(dB,dB)),
11.90/12.07	                                                               combc(
11.90/12.07	                                                               dB,nat,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  dB,
11.90/12.07	                                                                  fun(nat,dB))),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               combc(
11.90/12.07	                                                               dB,dB,
11.90/12.07	                                                               fun(nat,dB)),
11.90/12.07	                                                               subst)),u))),i))),
11.90/12.07	                                                as))))).
11.90/12.07	tff(zf_stmt_0, negated_conjecture,
11.90/12.07	  (~
11.90/12.07	    app_encode_app(list(dB),$o,
11.90/12.07	                   app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
11.90/12.07	                                  listsp(dB),it),
11.90/12.07	                   app_encode_app(list(dB),list(dB),
11.90/12.07	                                  app_encode_app(fun(list(dB),list(dB)),
11.90/12.07	                                                 app_encode_fun(list(dB),
11.90/12.07	                                                                list(dB)),
11.90/12.07	                                                 aa(list(dB),list(dB)),
11.90/12.07	                                                 app_encode_app(dB,
11.90/12.07	                                                                fun(list(dB),
11.90/12.07	                                                                    list(dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    list(dB),
11.90/12.07	                                                                    list(dB))),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(list(dB),
11.90/12.07	                                                                    list(dB))),
11.90/12.07	                                                                aa(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                                cons(dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                nat,dB,
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(nat,dB),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                nat,dB),
11.90/12.07	                                                                aa(nat,dB),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(nat,dB),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB)),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(nat,dB)),
11.90/12.07	                                                                aa(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB))),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB))),
11.90/12.07	                                                                aa(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                                subst),a)),u)),
11.90/12.07	                                                                i))),
11.90/12.07	                                  app_encode_app(list(dB),list(dB),
11.90/12.07	                                                 app_encode_app(fun(list(dB),
11.90/12.07	                                                                    list(dB)),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                list(dB),
11.90/12.07	                                                                list(dB)),
11.90/12.07	                                                                aa(list(dB),
11.90/12.07	                                                                   list(dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,dB),
11.90/12.07	                                                                fun(list(dB),
11.90/12.07	                                                                    list(dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(fun(
11.90/12.07	                                                                    dB,dB),
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    list(dB),
11.90/12.07	                                                                    list(dB))),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                fun(dB,dB),
11.90/12.07	                                                                fun(list(dB),
11.90/12.07	                                                                    list(dB))),
11.90/12.07	                                                                aa(fun(dB,dB),
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                                map(dB,dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                nat,
11.90/12.07	                                                                fun(dB,dB),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(nat,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    dB,dB)),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                nat,
11.90/12.07	                                                                fun(dB,dB)),
11.90/12.07	                                                                aa(nat,
11.90/12.07	                                                                   fun(dB,dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB)),
11.90/12.07	                                                                fun(nat,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    dB,dB)),
11.90/12.07	                                                                combc(
11.90/12.07	                                                                dB,nat,dB),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB)),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB))),
11.90/12.07	                                                                app_encode_fun(
11.90/12.07	                                                                dB,
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB))),
11.90/12.07	                                                                aa(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                                app_encode_app(
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB))),
11.90/12.07	                                                                fun(dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    dB,
11.90/12.07	                                                                    fun(
11.90/12.07	                                                                    nat,dB))),
11.90/12.07	                                                                combc(
11.90/12.07	                                                                dB,dB,
11.90/12.07	                                                                fun(nat,dB)),
11.90/12.07	                                                                subst)),u))),
11.90/12.07	                                                                i))),
11.90/12.07	                                                 as))))).
11.90/12.07	tff('2', plain,
11.90/12.07	    ~ app_encode_app(list(dB), $o, 
11.90/12.07	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
11.90/12.07	          listsp(dB), it), 
11.90/12.07	        app_encode_app(list(dB), list(dB), 
11.90/12.07	          app_encode_app(fun(list(dB), list(dB)), 
11.90/12.07	            app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
11.90/12.07	            app_encode_app(dB, fun(list(dB), list(dB)), 
11.90/12.07	              app_encode_app(fun(dB, fun(list(dB), list(dB))), 
11.90/12.07	                app_encode_fun(dB, fun(list(dB), list(dB))), 
11.90/12.07	                aa(dB, fun(list(dB), list(dB))), cons(dB)), 
11.90/12.07	              app_encode_app(nat, dB, 
11.90/12.07	                app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
11.90/12.07	                  aa(nat, dB), 
11.90/12.07	                  app_encode_app(dB, fun(nat, dB), 
11.90/12.07	                    app_encode_app(fun(dB, fun(nat, dB)), 
11.90/12.07	                      app_encode_fun(dB, fun(nat, dB)), 
11.90/12.07	                      aa(dB, fun(nat, dB)), 
11.90/12.07	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.90/12.07	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                          aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))), 
11.90/12.07	          app_encode_app(list(dB), list(dB), 
11.90/12.07	            app_encode_app(fun(list(dB), list(dB)), 
11.90/12.07	              app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
11.90/12.07	              app_encode_app(fun(dB, dB), fun(list(dB), list(dB)), 
11.90/12.07	                app_encode_app(fun(fun(dB, dB), fun(list(dB), list(dB))), 
11.90/12.07	                  app_encode_fun(fun(dB, dB), fun(list(dB), list(dB))), 
11.90/12.07	                  aa(fun(dB, dB), fun(list(dB), list(dB))), map(dB, dB)), 
11.90/12.07	                app_encode_app(nat, fun(dB, dB), 
11.90/12.07	                  app_encode_app(fun(nat, fun(dB, dB)), 
11.90/12.07	                    app_encode_fun(nat, fun(dB, dB)), aa(nat, fun(dB, dB)), 
11.90/12.07	                    app_encode_app(fun(dB, fun(nat, dB)), 
11.90/12.07	                      fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
11.90/12.07	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.90/12.07	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                          aa(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                          app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                            fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                            combc(dB, dB, fun(nat, dB)), subst)), u))), i))), 
11.90/12.07	            as))),
11.90/12.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
11.90/12.07	tff('3', plain,
11.90/12.07	    (~ $true
11.90/12.07	     | ~ app_encode_app(bool, $o, pp, 
11.90/12.07	           app_encode_app(dB, bool, 
11.90/12.07	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
11.90/12.07	               aa(dB, bool), it), 
11.90/12.07	             app_encode_app(nat, dB, 
11.90/12.07	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
11.90/12.07	                 aa(nat, dB), 
11.90/12.07	                 app_encode_app(dB, fun(nat, dB), 
11.90/12.07	                   app_encode_app(fun(dB, fun(nat, dB)), 
11.90/12.07	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
11.90/12.07	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.90/12.07	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i)))
11.90/12.07	     | ~ app_encode_app(list(dB), $o, 
11.90/12.07	           app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
11.90/12.07	             listsp(dB), it), 
11.90/12.07	           app_encode_app(list(dB), list(dB), 
11.90/12.07	             app_encode_app(fun(list(dB), list(dB)), 
11.90/12.07	               app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
11.90/12.07	               app_encode_app(fun(dB, dB), fun(list(dB), list(dB)), 
11.90/12.07	                 app_encode_app(fun(fun(dB, dB), fun(list(dB), list(dB))), 
11.90/12.07	                   app_encode_fun(fun(dB, dB), fun(list(dB), list(dB))), 
11.90/12.07	                   aa(fun(dB, dB), fun(list(dB), list(dB))), map(dB, dB)), 
11.90/12.07	                 app_encode_app(nat, fun(dB, dB), 
11.90/12.07	                   app_encode_app(fun(nat, fun(dB, dB)), 
11.90/12.07	                     app_encode_fun(nat, fun(dB, dB)), aa(nat, fun(dB, dB)), 
11.90/12.07	                     app_encode_app(fun(dB, fun(nat, dB)), 
11.90/12.07	                       fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
11.90/12.07	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.90/12.07	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                           aa(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                             fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                             combc(dB, dB, fun(nat, dB)), subst)), u))), i))), 
11.90/12.07	             as))),
11.90/12.07	    inference('sup-', [status(thm)], ['1', '2'])).
11.90/12.07	tff(zf_stmt_70, axiom,
11.90/12.07	  (app_encode_app(bool,$o,pp,
11.90/12.07	                  app_encode_app(dB,bool,
11.90/12.07	                                 app_encode_app(fun(dB,bool),
11.90/12.07	                                                app_encode_fun(dB,bool),
11.90/12.07	                                                aa(dB,bool),it),
11.90/12.07	                                 app_encode_app(nat,dB,
11.90/12.07	                                                app_encode_app(fun(nat,dB),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               nat,dB),
11.90/12.07	                                                               aa(nat,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(nat,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,fun(nat,dB)),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(nat,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  dB,
11.90/12.07	                                                                  fun(nat,dB))),
11.90/12.07	                                                               subst),a)),u)),
11.90/12.07	                                                i))))).
11.90/12.07	tff('4', plain,
11.90/12.07	    app_encode_app(bool, $o, pp, 
11.90/12.07	      app_encode_app(dB, bool, 
11.90/12.07	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
11.90/12.07	          aa(dB, bool), it), 
11.90/12.07	        app_encode_app(nat, dB, 
11.90/12.07	          app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), aa(nat, dB), 
11.90/12.07	            app_encode_app(dB, fun(nat, dB), 
11.90/12.07	              app_encode_app(fun(dB, fun(nat, dB)), 
11.90/12.07	                app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
11.90/12.07	                app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.90/12.07	                  app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                    aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))),
11.90/12.07	    inference('cnf', [status(esa)], [zf_stmt_70])).
11.90/12.07	tff(zf_stmt_71, axiom,
11.90/12.07	  (app_encode_app(list(dB),$o,
11.90/12.07	                  app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
11.90/12.07	                                 listsp(dB),it),
11.90/12.07	                  app_encode_app(list(dB),list(dB),
11.90/12.07	                                 app_encode_app(fun(list(dB),list(dB)),
11.90/12.07	                                                app_encode_fun(list(dB),
11.90/12.07	                                                               list(dB)),
11.90/12.07	                                                aa(list(dB),list(dB)),
11.90/12.07	                                                app_encode_app(fun(dB,dB),
11.90/12.07	                                                               fun(list(dB),
11.90/12.07	                                                                   list(dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(fun(dB,dB),
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               fun(dB,dB),
11.90/12.07	                                                               fun(list(dB),
11.90/12.07	                                                                   list(dB))),
11.90/12.07	                                                               aa(fun(dB,dB),
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  list(dB),
11.90/12.07	                                                                  list(dB))),
11.90/12.07	                                                               map(dB,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               nat,
11.90/12.07	                                                               fun(dB,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(nat,
11.90/12.07	                                                                   fun(dB,dB)),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               nat,fun(dB,dB)),
11.90/12.07	                                                               aa(nat,
11.90/12.07	                                                                  fun(dB,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               fun(nat,
11.90/12.07	                                                                   fun(dB,dB)),
11.90/12.07	                                                               combc(
11.90/12.07	                                                               dB,nat,dB),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB)),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               app_encode_fun(
11.90/12.07	                                                               dB,
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               aa(dB,
11.90/12.07	                                                                  fun(
11.90/12.07	                                                                  dB,
11.90/12.07	                                                                  fun(nat,dB))),
11.90/12.07	                                                               app_encode_app(
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               fun(dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   dB,
11.90/12.07	                                                                   fun(
11.90/12.07	                                                                   nat,dB))),
11.90/12.07	                                                               combc(
11.90/12.07	                                                               dB,dB,
11.90/12.07	                                                               fun(nat,dB)),
11.90/12.07	                                                               subst)),u))),i))),
11.90/12.07	                                 as)))).
11.90/12.07	tff('5', plain,
11.90/12.07	    app_encode_app(list(dB), $o, 
11.90/12.07	      app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
11.90/12.07	        listsp(dB), it), 
11.90/12.07	      app_encode_app(list(dB), list(dB), 
11.90/12.07	        app_encode_app(fun(list(dB), list(dB)), 
11.90/12.07	          app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
11.90/12.07	          app_encode_app(fun(dB, dB), fun(list(dB), list(dB)), 
11.90/12.07	            app_encode_app(fun(fun(dB, dB), fun(list(dB), list(dB))), 
11.90/12.07	              app_encode_fun(fun(dB, dB), fun(list(dB), list(dB))), 
11.90/12.07	              aa(fun(dB, dB), fun(list(dB), list(dB))), map(dB, dB)), 
11.90/12.07	            app_encode_app(nat, fun(dB, dB), 
11.90/12.07	              app_encode_app(fun(nat, fun(dB, dB)), 
11.90/12.07	                app_encode_fun(nat, fun(dB, dB)), aa(nat, fun(dB, dB)), 
11.90/12.07	                app_encode_app(fun(dB, fun(nat, dB)), fun(nat, fun(dB, dB)), 
11.90/12.07	                  combc(dB, nat, dB), 
11.90/12.07	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.90/12.07	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                      aa(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                        fun(dB, fun(dB, fun(nat, dB))), 
11.90/12.07	                        combc(dB, dB, fun(nat, dB)), subst)), u))), i))), as)),
11.90/12.07	    inference('cnf', [status(esa)], [zf_stmt_71])).
11.90/12.07	tff('6', plain, (~ $true | ~ $true | ~ $true),
11.90/12.07	    inference('demod', [status(thm)], ['3', '4', '5'])).
11.90/12.07	tff('7', plain, $false, inference('simplify', [status(thm)], ['6'])).
11.90/12.07	
11.90/12.07	% SZS output end Refutation
11.90/12.07	EOF
