0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n131.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:22:39 CST 2018
12.25/12.39	% done 2497 iterations in 12.196s
12.25/12.39	% SZS status Theorem for 'stdin'
12.25/12.39	% SZS output start Refutation
12.25/12.39	tff(zf_stmt_64, axiom,
12.25/12.39	  (app_encode_app(bool,$o,pp,
12.25/12.39	                  app_encode_app(type,bool,
12.25/12.39	                                 app_encode_app(fun(type,bool),
12.25/12.39	                                                app_encode_fun(type,bool),
12.25/12.39	                                                aa(type,bool),
12.25/12.39	                                                app_encode_app(dB,
12.25/12.39	                                                               fun(type,bool),
12.25/12.39	                                                               app_encode_app(
12.25/12.39	                                                               fun(dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool)),
12.25/12.39	                                                               app_encode_fun(
12.25/12.39	                                                               dB,
12.25/12.39	                                                               fun(type,bool)),
12.25/12.39	                                                               aa(dB,
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  type,bool)),
12.25/12.39	                                                               app_encode_app(
12.25/12.39	                                                               fun(nat,type),
12.25/12.39	                                                               fun(dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool)),
12.25/12.39	                                                               typing,
12.25/12.39	                                                               app_encode_app(
12.25/12.39	                                                               type,
12.25/12.39	                                                               fun(nat,type),
12.25/12.39	                                                               app_encode_app(
12.25/12.39	                                                               nat,
12.25/12.39	                                                               app_encode_fun(
12.25/12.39	                                                               type,
12.25/12.39	                                                               fun(nat,type)),
12.25/12.39	                                                               app_encode_app(
12.25/12.39	                                                               fun(nat,type),
12.25/12.39	                                                               app_encode_fun(
12.25/12.39	                                                               nat,
12.25/12.39	                                                               app_encode_fun(
12.25/12.39	                                                               type,
12.25/12.39	                                                               fun(nat,type))),
12.25/12.39	                                                               shift(type),e),
12.25/12.39	                                                               i),t1))),a)),
12.25/12.39	                                 t)))).
12.25/12.39	tff('0', plain,
12.25/12.39	    app_encode_app(bool, $o, pp, 
12.25/12.39	      app_encode_app(type, bool, 
12.25/12.39	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	          aa(type, bool), 
12.25/12.39	          app_encode_app(dB, fun(type, bool), 
12.25/12.39	            app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
12.25/12.39	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                typing, 
12.25/12.39	                app_encode_app(type, fun(nat, type), 
12.25/12.39	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
12.25/12.39	                    app_encode_app(fun(nat, type), 
12.25/12.39	                      app_encode_fun(nat, 
12.25/12.39	                        app_encode_fun(type, fun(nat, type))), shift(type), 
12.25/12.39	                      e), i), t1))), a)), t)),
12.25/12.39	    inference('cnf', [status(esa)], [zf_stmt_64])).
12.25/12.39	tff(zf_stmt_67, axiom,
12.25/12.39	  (![Ib:nat,Ua:type,Ub:dB,E:fun(nat,type),Ta1:type,Ta:dB,Eb:fun(nat,type)]:
12.25/12.39	     (app_encode_app(bool,$o,pp,
12.25/12.39	                     app_encode_app(type,bool,
12.25/12.39	                                    app_encode_app(fun(type,bool),
12.25/12.39	                                                   app_encode_fun(type,bool),
12.25/12.39	                                                   aa(type,bool),
12.25/12.39	                                                   app_encode_app(dB,
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  type,bool),
12.25/12.39	                                                                  app_encode_app(
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  dB,
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  type,bool)),
12.25/12.39	                                                                  app_encode_fun(
12.25/12.39	                                                                  dB,
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  type,bool)),
12.25/12.39	                                                                  aa(
12.25/12.39	                                                                  dB,
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  type,bool)),
12.25/12.39	                                                                  app_encode_app(
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  nat,type),
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  dB,
12.25/12.39	                                                                  fun(
12.25/12.39	                                                                  type,bool)),
12.25/12.39	                                                                  typing,Eb)),
12.25/12.39	                                                                  Ta)),
12.25/12.39	                                    Ta1)) =>
12.25/12.39	      (app_encode_app(bool,$o,pp,
12.25/12.39	                      app_encode_app(type,bool,
12.25/12.39	                                     app_encode_app(fun(type,bool),
12.25/12.39	                                                    app_encode_fun(type,bool),
12.25/12.39	                                                    aa(type,bool),
12.25/12.39	                                                    app_encode_app(dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool),
12.25/12.39	                                                                   app_encode_app(
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool)),
12.25/12.39	                                                                   app_encode_fun(
12.25/12.39	                                                                   dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool)),
12.25/12.39	                                                                   aa(
12.25/12.39	                                                                   dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool)),
12.25/12.39	                                                                   app_encode_app(
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   nat,type),
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   dB,
12.25/12.39	                                                                   fun(
12.25/12.39	                                                                   type,bool)),
12.25/12.39	                                                                   typing,E)),
12.25/12.39	                                                                   Ub)),
12.25/12.39	                                     Ua)) =>
12.25/12.39	       ((Eb =
12.25/12.39	         app_encode_app(type,fun(nat,type),
12.25/12.39	                        app_encode_app(nat,
12.25/12.39	                                       app_encode_fun(type,fun(nat,type)),
12.25/12.39	                                       app_encode_app(fun(nat,type),
12.25/12.39	                                                      app_encode_fun(
12.25/12.39	                                                      nat,
12.25/12.39	                                                      app_encode_fun(
12.25/12.39	                                                      type,fun(nat,type))),
12.25/12.39	                                                      shift(type),E),
12.25/12.39	                                       Ib),
12.25/12.39	                        Ua)) =>
12.25/12.39	        app_encode_app(bool,$o,pp,
12.25/12.39	                       app_encode_app(type,bool,
12.25/12.39	                                      app_encode_app(fun(type,bool),
12.25/12.39	                                                     app_encode_fun(type,bool),
12.25/12.39	                                                     aa(type,bool),
12.25/12.39	                                                     app_encode_app(dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    type,bool),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    type,bool)),
12.25/12.39	                                                                    app_encode_fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    type,bool)),
12.25/12.39	                                                                    aa(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    type,bool)),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,type),
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    type,bool)),
12.25/12.39	                                                                    typing,E)),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    nat,dB,
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB),
12.25/12.39	                                                                    app_encode_fun(
12.25/12.39	                                                                    nat,dB),
12.25/12.39	                                                                    aa(
12.25/12.39	                                                                    nat,dB),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB)),
12.25/12.39	                                                                    app_encode_fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB)),
12.25/12.39	                                                                    aa(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB)),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB)),
12.25/12.39	                                                                    app_encode_app(
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB))),
12.25/12.39	                                                                    app_encode_fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB))),
12.25/12.39	                                                                    aa(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    dB,
12.25/12.39	                                                                    fun(
12.25/12.39	                                                                    nat,dB))),
12.25/12.39	                                                                    subst),Ta)),
12.25/12.39	                                                                    Ub)),Ib))),
12.25/12.39	                                      Ta1))))))).
12.25/12.39	tff('1', plain,
12.25/12.39	    ![X4 : fun(nat, type), X5 : dB, X6 : type, X7 : dB, X8 : nat, X9 : type, 
12.25/12.39	      X10 : fun(nat, type)]:
12.25/12.39	      (~ app_encode_app(bool, $o, pp, 
12.25/12.39	           app_encode_app(type, bool, 
12.25/12.39	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	               aa(type, bool), 
12.25/12.39	               app_encode_app(dB, fun(type, bool), 
12.25/12.39	                 app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                   aa(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                     typing, X4)), X5)), X6))
12.25/12.39	       | app_encode_app(bool, $o, pp, 
12.25/12.39	           app_encode_app(type, bool, 
12.25/12.39	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	               aa(type, bool), 
12.25/12.39	               app_encode_app(dB, fun(type, bool), 
12.25/12.39	                 app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                   aa(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                     typing, X4)), 
12.25/12.39	                 app_encode_app(nat, dB, 
12.25/12.39	                   app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
12.25/12.39	                     aa(nat, dB), 
12.25/12.39	                     app_encode_app(dB, fun(nat, dB), 
12.25/12.39	                       app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_fun(dB, fun(nat, dB)), 
12.25/12.39	                         aa(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.39	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                             aa(dB, fun(dB, fun(nat, dB))), subst), X7)), X5)), 
12.25/12.39	                   X8))), X9))
12.25/12.39	       | ~ app_encode_app(bool, $o, pp, 
12.25/12.39	             app_encode_app(type, bool, 
12.25/12.39	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	                 aa(type, bool), 
12.25/12.39	                 app_encode_app(dB, fun(type, bool), 
12.25/12.39	                   app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                     aa(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_app(fun(nat, type), 
12.25/12.39	                       fun(dB, fun(type, bool)), typing, X10)), X7)), X9))
12.25/12.39	       | X10
12.25/12.39	          != app_encode_app(type, fun(nat, type), 
12.25/12.39	               app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
12.25/12.39	                 app_encode_app(fun(nat, type), 
12.25/12.39	                   app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
12.25/12.39	                   shift(type), X4), X8), X6)),
12.25/12.39	    inference('cnf', [status(esa)], [zf_stmt_67])).
12.25/12.39	tff('2', plain,
12.25/12.39	    ![X4 : fun(nat, type), X5 : dB, X6 : type, X7 : dB, X8 : nat, X9 : type]:
12.25/12.39	      (~ app_encode_app(bool, $o, pp, 
12.25/12.39	           app_encode_app(type, bool, 
12.25/12.39	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	               aa(type, bool), 
12.25/12.39	               app_encode_app(dB, fun(type, bool), 
12.25/12.39	                 app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                   aa(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                     typing, 
12.25/12.39	                     app_encode_app(type, fun(nat, type), 
12.25/12.39	                       app_encode_app(nat, 
12.25/12.39	                         app_encode_fun(type, fun(nat, type)), 
12.25/12.39	                         app_encode_app(fun(nat, type), 
12.25/12.39	                           app_encode_fun(nat, 
12.25/12.39	                             app_encode_fun(type, fun(nat, type))), 
12.25/12.39	                           shift(type), X4), X8), X6))), X7)), X9))
12.25/12.39	       | app_encode_app(bool, $o, pp, 
12.25/12.39	           app_encode_app(type, bool, 
12.25/12.39	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	               aa(type, bool), 
12.25/12.39	               app_encode_app(dB, fun(type, bool), 
12.25/12.39	                 app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                   aa(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                     typing, X4)), 
12.25/12.39	                 app_encode_app(nat, dB, 
12.25/12.39	                   app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
12.25/12.39	                     aa(nat, dB), 
12.25/12.39	                     app_encode_app(dB, fun(nat, dB), 
12.25/12.39	                       app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_fun(dB, fun(nat, dB)), 
12.25/12.39	                         aa(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.39	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                             aa(dB, fun(dB, fun(nat, dB))), subst), X7)), X5)), 
12.25/12.39	                   X8))), X9))
12.25/12.39	       | ~ app_encode_app(bool, $o, pp, 
12.25/12.39	             app_encode_app(type, bool, 
12.25/12.39	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	                 aa(type, bool), 
12.25/12.39	                 app_encode_app(dB, fun(type, bool), 
12.25/12.39	                   app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                     aa(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_app(fun(nat, type), 
12.25/12.39	                       fun(dB, fun(type, bool)), typing, X4)), X5)), X6))),
12.25/12.39	    inference('simplify', [status(thm)], ['1'])).
12.25/12.39	tff('3', plain,
12.25/12.39	    ![X0 : dB]:
12.25/12.39	      (~ $true
12.25/12.39	       | ~ app_encode_app(bool, $o, pp, 
12.25/12.39	             app_encode_app(type, bool, 
12.25/12.39	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	                 aa(type, bool), 
12.25/12.39	                 app_encode_app(dB, fun(type, bool), 
12.25/12.39	                   app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                     aa(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_app(fun(nat, type), 
12.25/12.39	                       fun(dB, fun(type, bool)), typing, e)), X0)), t1))
12.25/12.39	       | app_encode_app(bool, $o, pp, 
12.25/12.39	           app_encode_app(type, bool, 
12.25/12.39	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	               aa(type, bool), 
12.25/12.39	               app_encode_app(dB, fun(type, bool), 
12.25/12.39	                 app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                   aa(dB, fun(type, bool)), 
12.25/12.39	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                     typing, e)), 
12.25/12.39	                 app_encode_app(nat, dB, 
12.25/12.39	                   app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
12.25/12.39	                     aa(nat, dB), 
12.25/12.39	                     app_encode_app(dB, fun(nat, dB), 
12.25/12.39	                       app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_fun(dB, fun(nat, dB)), 
12.25/12.39	                         aa(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.39	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                             aa(dB, fun(dB, fun(nat, dB))), subst), a)), X0)), 
12.25/12.39	                   i))), t))),
12.25/12.39	    inference('sup-', [status(thm)], ['0', '2'])).
12.25/12.39	tff('4', plain,
12.25/12.39	    ![X0 : dB]:
12.25/12.39	      (app_encode_app(bool, $o, pp, 
12.25/12.39	         app_encode_app(type, bool, 
12.25/12.39	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	             aa(type, bool), 
12.25/12.39	             app_encode_app(dB, fun(type, bool), 
12.25/12.39	               app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                 app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                 aa(dB, fun(type, bool)), 
12.25/12.39	                 app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                   typing, e)), 
12.25/12.39	               app_encode_app(nat, dB, 
12.25/12.39	                 app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
12.25/12.39	                   aa(nat, dB), 
12.25/12.39	                   app_encode_app(dB, fun(nat, dB), 
12.25/12.39	                     app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.39	                       app_encode_fun(dB, fun(nat, dB)), 
12.25/12.39	                       aa(dB, fun(nat, dB)), 
12.25/12.39	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.39	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                           aa(dB, fun(dB, fun(nat, dB))), subst), a)), X0)), 
12.25/12.39	                 i))), t))
12.25/12.39	       | ~ app_encode_app(bool, $o, pp, 
12.25/12.39	             app_encode_app(type, bool, 
12.25/12.39	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.39	                 aa(type, bool), 
12.25/12.39	                 app_encode_app(dB, fun(type, bool), 
12.25/12.39	                   app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_fun(dB, fun(type, bool)), 
12.25/12.39	                     aa(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_app(fun(nat, type), 
12.25/12.39	                       fun(dB, fun(type, bool)), typing, e)), X0)), t1))),
12.25/12.39	    inference('simplify', [status(thm)], ['3'])).
12.25/12.39	tff(zf_stmt_164, axiom,
12.25/12.39	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
12.25/12.39	     (app_encode_app(A,C,
12.25/12.39	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
12.25/12.39	                                    app_encode_app(B,fun(A,C),
12.25/12.39	                                                   app_encode_app(fun(
12.25/12.39	                                                                  A,fun(B,C)),
12.25/12.39	                                                                  app_encode_fun(
12.25/12.39	                                                                  B,fun(A,C)),
12.25/12.39	                                                                  combc(
12.25/12.39	                                                                  A,B,C),P),
12.25/12.39	                                                   Q)),
12.25/12.39	                     R) =
12.25/12.39	      app_encode_app(B,C,
12.25/12.39	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
12.25/12.39	                                    app_encode_app(A,fun(B,C),
12.25/12.39	                                                   app_encode_app(fun(
12.25/12.39	                                                                  A,fun(B,C)),
12.25/12.39	                                                                  app_encode_fun(
12.25/12.39	                                                                  A,fun(B,C)),
12.25/12.39	                                                                  aa(
12.25/12.39	                                                                  A,fun(B,C)),
12.25/12.39	                                                                  P),
12.25/12.39	                                                   R)),
12.25/12.39	                     Q)))).
12.25/12.39	tff('5', plain,
12.25/12.39	    ![X309 : $tType, X310 : $tType, X311 : $tType, 
12.25/12.39	      X312 : fun(X311, fun(X309, X310)), X313 : X311, X314 : X309]:
12.25/12.39	      app_encode_app(X311, X310, 
12.25/12.39	        app_encode_app(fun(X311, X310), app_encode_fun(X311, X310), 
12.25/12.39	          aa(X311, X310), 
12.25/12.39	          app_encode_app(X309, fun(X311, X310), 
12.25/12.39	            app_encode_app(fun(X311, fun(X309, X310)), 
12.25/12.39	              app_encode_fun(X309, fun(X311, X310)), 
12.25/12.39	              combc(X311, X309, X310), X312), X314)), X313)
12.25/12.39	       = app_encode_app(X309, X310, 
12.25/12.39	           app_encode_app(fun(X309, X310), app_encode_fun(X309, X310), 
12.25/12.39	             aa(X309, X310), 
12.25/12.39	             app_encode_app(X311, fun(X309, X310), 
12.25/12.39	               app_encode_app(fun(X311, fun(X309, X310)), 
12.25/12.39	                 app_encode_fun(X311, fun(X309, X310)), 
12.25/12.39	                 aa(X311, fun(X309, X310)), X312), X313)), X314),
12.25/12.39	    inference('cnf', [status(esa)], [zf_stmt_164])).
12.25/12.39	tff('6', plain,
12.25/12.39	    ![X0 : dB]:
12.25/12.39	      (app_encode_app(bool, $o, pp, 
12.25/12.39	         app_encode_app(dB, bool, 
12.25/12.39	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
12.25/12.39	             aa(dB, bool), 
12.25/12.39	             app_encode_app(type, fun(dB, bool), 
12.25/12.39	               app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                 app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
12.25/12.39	                 app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.39	                   typing, e)), t)), 
12.25/12.39	           app_encode_app(dB, dB, 
12.25/12.39	             app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
12.25/12.39	               app_encode_app(nat, fun(dB, dB), 
12.25/12.39	                 app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.39	                   app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
12.25/12.39	                   app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.39	                     app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                       app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.39	                       combc(dB, dB, fun(nat, dB)), subst), X0)), i)), a)))
12.25/12.39	       | ~ app_encode_app(bool, $o, pp, 
12.25/12.39	             app_encode_app(dB, bool, 
12.25/12.39	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
12.25/12.39	                 aa(dB, bool), 
12.25/12.39	                 app_encode_app(type, fun(dB, bool), 
12.25/12.39	                   app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.39	                     app_encode_fun(type, fun(dB, bool)), 
12.25/12.39	                     combc(dB, type, bool), 
12.25/12.39	                     app_encode_app(fun(nat, type), 
12.25/12.39	                       fun(dB, fun(type, bool)), typing, e)), t1)), X0))),
12.25/12.39	    inference('demod', [status(thm)], ['4', '5', '5', '5', '5'])).
12.25/12.39	tff(zf_stmt_174, conjecture,
12.25/12.39	  (app_encode_app(bool,$o,pp,
12.25/12.39	                  app_encode_app(type,bool,
12.25/12.40	                                 app_encode_app(fun(type,bool),
12.25/12.40	                                                app_encode_fun(type,bool),
12.25/12.40	                                                aa(type,bool),
12.25/12.40	                                                app_encode_app(dB,
12.25/12.40	                                                               fun(type,bool),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   type,bool)),
12.25/12.40	                                                               app_encode_fun(
12.25/12.40	                                                               dB,
12.25/12.40	                                                               fun(type,bool)),
12.25/12.40	                                                               aa(dB,
12.25/12.40	                                                                  fun(
12.25/12.40	                                                                  type,bool)),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(nat,type),
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   type,bool)),
12.25/12.40	                                                               typing,e)),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               nat,dB,
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(nat,dB),
12.25/12.40	                                                               app_encode_fun(
12.25/12.40	                                                               nat,dB),
12.25/12.40	                                                               aa(nat,dB),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               dB,
12.25/12.40	                                                               fun(nat,dB),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   nat,dB)),
12.25/12.40	                                                               app_encode_fun(
12.25/12.40	                                                               dB,fun(nat,dB)),
12.25/12.40	                                                               aa(dB,
12.25/12.40	                                                                  fun(nat,dB)),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               dB,
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   nat,dB)),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   nat,dB))),
12.25/12.40	                                                               app_encode_fun(
12.25/12.40	                                                               dB,
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   nat,dB))),
12.25/12.40	                                                               aa(dB,
12.25/12.40	                                                                  fun(
12.25/12.40	                                                                  dB,
12.25/12.40	                                                                  fun(nat,dB))),
12.25/12.40	                                                               subst),a)),u)),
12.25/12.40	                                                               i))),
12.25/12.40	                                 t)))).
12.25/12.40	tff(zf_stmt_0, negated_conjecture,
12.25/12.40	  (~
12.25/12.40	    app_encode_app(bool,$o,pp,
12.25/12.40	                   app_encode_app(type,bool,
12.25/12.40	                                  app_encode_app(fun(type,bool),
12.25/12.40	                                                 app_encode_fun(type,bool),
12.25/12.40	                                                 aa(type,bool),
12.25/12.40	                                                 app_encode_app(dB,
12.25/12.40	                                                                fun(type,bool),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                fun(dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    type,bool)),
12.25/12.40	                                                                app_encode_fun(
12.25/12.40	                                                                dB,
12.25/12.40	                                                                fun(type,bool)),
12.25/12.40	                                                                aa(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   type,bool)),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                fun(nat,type),
12.25/12.40	                                                                fun(dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    type,bool)),
12.25/12.40	                                                                typing,e)),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                nat,dB,
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                fun(nat,dB),
12.25/12.40	                                                                app_encode_fun(
12.25/12.40	                                                                nat,dB),
12.25/12.40	                                                                aa(nat,dB),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                dB,
12.25/12.40	                                                                fun(nat,dB),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                fun(dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    nat,dB)),
12.25/12.40	                                                                app_encode_fun(
12.25/12.40	                                                                dB,
12.25/12.40	                                                                fun(nat,dB)),
12.25/12.40	                                                                aa(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   nat,dB)),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                dB,
12.25/12.40	                                                                fun(dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    nat,dB)),
12.25/12.40	                                                                app_encode_app(
12.25/12.40	                                                                fun(dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    nat,dB))),
12.25/12.40	                                                                app_encode_fun(
12.25/12.40	                                                                dB,
12.25/12.40	                                                                fun(dB,
12.25/12.40	                                                                    fun(
12.25/12.40	                                                                    nat,dB))),
12.25/12.40	                                                                aa(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   nat,dB))),
12.25/12.40	                                                                subst),a)),u)),
12.25/12.40	                                                                i))),
12.25/12.40	                                  t)))).
12.25/12.40	tff('7', plain,
12.25/12.40	    ~ app_encode_app(bool, $o, pp, 
12.25/12.40	        app_encode_app(type, bool, 
12.25/12.40	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.40	            aa(type, bool), 
12.25/12.40	            app_encode_app(dB, fun(type, bool), 
12.25/12.40	              app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	                app_encode_fun(dB, fun(type, bool)), 
12.25/12.40	                aa(dB, fun(type, bool)), 
12.25/12.40	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.40	                  typing, e)), 
12.25/12.40	              app_encode_app(nat, dB, 
12.25/12.40	                app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
12.25/12.40	                  aa(nat, dB), 
12.25/12.40	                  app_encode_app(dB, fun(nat, dB), 
12.25/12.40	                    app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.40	                      app_encode_fun(dB, fun(nat, dB)), 
12.25/12.40	                      aa(dB, fun(nat, dB)), 
12.25/12.40	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.40	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.40	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.40	                          aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))), 
12.25/12.40	          t)),
12.25/12.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.25/12.40	tff('8', plain,
12.25/12.40	    ~ app_encode_app(bool, $o, pp, 
12.25/12.40	        app_encode_app(dB, bool, 
12.25/12.40	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
12.25/12.40	            aa(dB, bool), 
12.25/12.40	            app_encode_app(type, fun(dB, bool), 
12.25/12.40	              app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	                app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
12.25/12.40	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.40	                  typing, e)), t)), 
12.25/12.40	          app_encode_app(dB, dB, 
12.25/12.40	            app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
12.25/12.40	              app_encode_app(nat, fun(dB, dB), 
12.25/12.40	                app_encode_app(fun(dB, fun(nat, dB)), 
12.25/12.40	                  app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
12.25/12.40	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
12.25/12.40	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.40	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
12.25/12.40	                      combc(dB, dB, fun(nat, dB)), subst), u)), i)), a))),
12.25/12.40	    inference('demod', [status(thm)], ['7', '5', '5', '5'])).
12.25/12.40	tff('9', plain,
12.25/12.40	    (~ $true
12.25/12.40	     | ~ app_encode_app(bool, $o, pp, 
12.25/12.40	           app_encode_app(dB, bool, 
12.25/12.40	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
12.25/12.40	               aa(dB, bool), 
12.25/12.40	               app_encode_app(type, fun(dB, bool), 
12.25/12.40	                 app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	                   app_encode_fun(type, fun(dB, bool)), 
12.25/12.40	                   combc(dB, type, bool), 
12.25/12.40	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.40	                     typing, e)), t1)), u))),
12.25/12.40	    inference('sup-', [status(thm)], ['6', '8'])).
12.25/12.40	tff(zf_stmt_60, axiom,
12.25/12.40	  (app_encode_app(bool,$o,pp,
12.25/12.40	                  app_encode_app(type,bool,
12.25/12.40	                                 app_encode_app(fun(type,bool),
12.25/12.40	                                                app_encode_fun(type,bool),
12.25/12.40	                                                aa(type,bool),
12.25/12.40	                                                app_encode_app(dB,
12.25/12.40	                                                               fun(type,bool),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   type,bool)),
12.25/12.40	                                                               app_encode_fun(
12.25/12.40	                                                               dB,
12.25/12.40	                                                               fun(type,bool)),
12.25/12.40	                                                               aa(dB,
12.25/12.40	                                                                  fun(
12.25/12.40	                                                                  type,bool)),
12.25/12.40	                                                               app_encode_app(
12.25/12.40	                                                               fun(nat,type),
12.25/12.40	                                                               fun(dB,
12.25/12.40	                                                                   fun(
12.25/12.40	                                                                   type,bool)),
12.25/12.40	                                                               typing,e)),u)),
12.25/12.40	                                 t1)))).
12.25/12.40	tff('10', plain,
12.25/12.40	    app_encode_app(bool, $o, pp, 
12.25/12.40	      app_encode_app(type, bool, 
12.25/12.40	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.40	          aa(type, bool), 
12.25/12.40	          app_encode_app(dB, fun(type, bool), 
12.25/12.40	            app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
12.25/12.40	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.40	                typing, e)), u)), t1)),
12.25/12.40	    inference('cnf', [status(esa)], [zf_stmt_60])).
12.25/12.40	tff(zf_stmt_171, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
12.25/12.40	tff('11', plain, ![X329 : bool]: (X329 = fTrue | X329 = fFalse),
12.25/12.40	    inference('cnf', [status(esa)], [zf_stmt_171])).
12.25/12.40	tff(zf_stmt_160, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
12.25/12.40	tff('12', plain, ~ app_encode_app(bool, $o, pp, fFalse),
12.25/12.40	    inference('cnf', [status(esa)], [zf_stmt_160])).
12.25/12.40	tff('13', plain,
12.25/12.40	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
12.25/12.40	    inference('sup-', [status(thm)], ['11', '12'])).
12.25/12.40	tff('14', plain,
12.25/12.40	    (~ $true
12.25/12.40	     | app_encode_app(type, bool, 
12.25/12.40	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.40	           aa(type, bool), 
12.25/12.40	           app_encode_app(dB, fun(type, bool), 
12.25/12.40	             app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	               app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
12.25/12.40	               app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
12.25/12.40	                 typing, e)), u)), t1)
12.25/12.40	        = fTrue),
12.25/12.40	    inference('sup-', [status(thm)], ['10', '13'])).
12.25/12.40	tff('15', plain,
12.25/12.40	    app_encode_app(type, bool, 
12.25/12.40	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.25/12.40	        aa(type, bool), 
12.25/12.40	        app_encode_app(dB, fun(type, bool), 
12.25/12.40	          app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	            app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
12.25/12.40	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
12.25/12.40	              e)), u)), t1)
12.25/12.40	     = fTrue,
12.25/12.40	    inference('simplify', [status(thm)], ['14'])).
12.25/12.40	tff('16', plain,
12.25/12.40	    app_encode_app(dB, bool, 
12.25/12.40	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
12.25/12.40	        app_encode_app(type, fun(dB, bool), 
12.25/12.40	          app_encode_app(fun(dB, fun(type, bool)), 
12.25/12.40	            app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
12.25/12.40	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
12.25/12.40	              e)), t1)), u)
12.25/12.40	     = fTrue,
12.25/12.40	    inference('demod', [status(thm)], ['15', '5'])).
12.25/12.40	tff(zf_stmt_161, axiom, (app_encode_app(bool,$o,pp,fTrue))).
12.25/12.40	tff('17', plain, app_encode_app(bool, $o, pp, fTrue),
12.25/12.40	    inference('cnf', [status(esa)], [zf_stmt_161])).
12.25/12.40	tff('18', plain, (~ $true | ~ $true),
12.25/12.40	    inference('demod', [status(thm)], ['9', '16', '17'])).
12.25/12.40	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
12.25/12.40	
12.25/12.40	% SZS output end Refutation
12.25/12.40	EOF
