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    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n139.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:54:53 CST 2018
38.83/39.00	% done 2468 iterations in 38.794s
38.83/39.00	% SZS status Theorem for 'stdin'
38.83/39.00	% SZS output start Refutation
38.83/39.00	tff(zf_stmt_162, conjecture,
38.83/39.00	  (app_encode_app(bool,$o,pp,
38.83/39.00	                  app_encode_app(type,bool,
38.83/39.00	                                 app_encode_app(fun(type,bool),
38.83/39.00	                                                app_encode_fun(type,bool),
38.83/39.00	                                                aa(type,bool),
38.83/39.00	                                                app_encode_app(dB,
38.83/39.00	                                                               fun(type,bool),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(nat,type),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               fun(type,bool)),
38.83/39.00	                                                               typing,
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               type,
38.83/39.00	                                                               fun(nat,type),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               nat,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               type,
38.83/39.00	                                                               fun(nat,type)),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(nat,type),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               nat,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               type,
38.83/39.00	                                                               fun(nat,type))),
38.83/39.00	                                                               shift(type),e),
38.83/39.00	                                                               i),t1)),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               list(dB),dB,
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               list(dB),dB),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(dB,
38.83/39.00	                                                                   fun(dB,dB)),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               list(dB),dB)),
38.83/39.00	                                                               foldl(dB,dB),
38.83/39.00	                                                               app),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               dB,dB,
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(dB,dB),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,dB),
38.83/39.00	                                                               aa(dB,dB),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               dB,fun(dB,dB),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(dB,
38.83/39.00	                                                                   fun(dB,dB)),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,fun(dB,dB)),
38.83/39.00	                                                               aa(dB,
38.83/39.00	                                                                  fun(dB,dB)),
38.83/39.00	                                                               app),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               nat,dB,var,n))),
38.83/39.00	                                                               a)),as))),
38.83/39.00	                                 t)))).
38.83/39.00	tff(zf_stmt_0, negated_conjecture,
38.83/39.00	  (~
38.83/39.00	    app_encode_app(bool,$o,pp,
38.83/39.00	                   app_encode_app(type,bool,
38.83/39.00	                                  app_encode_app(fun(type,bool),
38.83/39.00	                                                 app_encode_fun(type,bool),
38.83/39.00	                                                 aa(type,bool),
38.83/39.00	                                                 app_encode_app(dB,
38.83/39.00	                                                                fun(type,bool),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                fun(nat,type),
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                dB,
38.83/39.00	                                                                fun(type,bool)),
38.83/39.00	                                                                typing,
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                type,
38.83/39.00	                                                                fun(nat,type),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                nat,
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                type,
38.83/39.00	                                                                fun(nat,type)),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                fun(nat,type),
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                nat,
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                type,
38.83/39.00	                                                                fun(nat,type))),
38.83/39.00	                                                                shift(type),e),
38.83/39.00	                                                                i),t1)),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                list(dB),dB,
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                dB,
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                list(dB),dB),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                fun(dB,
38.83/39.00	                                                                    fun(
38.83/39.00	                                                                    dB,dB)),
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                dB,
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                list(dB),dB)),
38.83/39.00	                                                                foldl(dB,dB),
38.83/39.00	                                                                app),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                dB,dB,
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                fun(dB,dB),
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                dB,dB),
38.83/39.00	                                                                aa(dB,dB),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                dB,
38.83/39.00	                                                                fun(dB,dB),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                fun(dB,
38.83/39.00	                                                                    fun(
38.83/39.00	                                                                    dB,dB)),
38.83/39.00	                                                                app_encode_fun(
38.83/39.00	                                                                dB,fun(dB,dB)),
38.83/39.00	                                                                aa(dB,
38.83/39.00	                                                                   fun(dB,dB)),
38.83/39.00	                                                                app),
38.83/39.00	                                                                app_encode_app(
38.83/39.00	                                                                nat,dB,var,n))),
38.83/39.00	                                                                a)),as))),
38.83/39.00	                                  t)))).
38.83/39.00	tff('0', plain,
38.83/39.00	    ~ app_encode_app(bool, $o, pp, 
38.83/39.00	        app_encode_app(type, bool, 
38.83/39.00	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
38.83/39.00	            aa(type, bool), 
38.83/39.00	            app_encode_app(dB, fun(type, bool), 
38.83/39.00	              app_encode_app(fun(nat, type), 
38.83/39.00	                app_encode_fun(dB, fun(type, bool)), typing, 
38.83/39.00	                app_encode_app(type, fun(nat, type), 
38.83/39.00	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
38.83/39.00	                    app_encode_app(fun(nat, type), 
38.83/39.00	                      app_encode_fun(nat, 
38.83/39.00	                        app_encode_fun(type, fun(nat, type))), shift(type), 
38.83/39.00	                      e), i), t1)), 
38.83/39.00	              app_encode_app(list(dB), dB, 
38.83/39.00	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
38.83/39.00	                  app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
38.83/39.00	                    foldl(dB, dB), app), 
38.83/39.00	                  app_encode_app(dB, dB, 
38.83/39.00	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
38.83/39.00	                      aa(dB, dB), 
38.83/39.00	                      app_encode_app(dB, fun(dB, dB), 
38.83/39.00	                        app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                          app_encode_fun(dB, fun(dB, dB)), 
38.83/39.00	                          aa(dB, fun(dB, dB)), app), 
38.83/39.00	                        app_encode_app(nat, dB, var, n))), a)), as))), t)),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
38.83/39.00	tff(zf_stmt_53, axiom, (n = i)).
38.83/39.00	tff('1', plain, n = i, inference('cnf', [status(esa)], [zf_stmt_53])).
38.83/39.00	tff('2', plain,
38.83/39.00	    ~ app_encode_app(bool, $o, pp, 
38.83/39.00	        app_encode_app(type, bool, 
38.83/39.00	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
38.83/39.00	            aa(type, bool), 
38.83/39.00	            app_encode_app(dB, fun(type, bool), 
38.83/39.00	              app_encode_app(fun(nat, type), 
38.83/39.00	                app_encode_fun(dB, fun(type, bool)), typing, 
38.83/39.00	                app_encode_app(type, fun(nat, type), 
38.83/39.00	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
38.83/39.00	                    app_encode_app(fun(nat, type), 
38.83/39.00	                      app_encode_fun(nat, 
38.83/39.00	                        app_encode_fun(type, fun(nat, type))), shift(type), 
38.83/39.00	                      e), n), t1)), 
38.83/39.00	              app_encode_app(list(dB), dB, 
38.83/39.00	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
38.83/39.00	                  app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
38.83/39.00	                    foldl(dB, dB), app), 
38.83/39.00	                  app_encode_app(dB, dB, 
38.83/39.00	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
38.83/39.00	                      aa(dB, dB), 
38.83/39.00	                      app_encode_app(dB, fun(dB, dB), 
38.83/39.00	                        app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                          app_encode_fun(dB, fun(dB, dB)), 
38.83/39.00	                          aa(dB, fun(dB, dB)), app), 
38.83/39.00	                        app_encode_app(nat, dB, var, n))), a)), as))), t)),
38.83/39.00	    inference('demod', [status(thm)], ['0', '1'])).
38.83/39.00	tff(zf_stmt_54, axiom,
38.83/39.00	  (rs =
38.83/39.00	   app_encode_app(list(dB),list(dB),
38.83/39.00	                  app_encode_app(fun(list(dB),list(dB)),
38.83/39.00	                                 app_encode_fun(list(dB),list(dB)),
38.83/39.00	                                 aa(list(dB),list(dB)),
38.83/39.00	                                 app_encode_app(dB,fun(list(dB),list(dB)),
38.83/39.00	                                                app_encode_app(fun(dB,
38.83/39.00	                                                                   fun(
38.83/39.00	                                                                   list(dB),
38.83/39.00	                                                                   list(dB))),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               fun(list(dB),
38.83/39.00	                                                                   list(dB))),
38.83/39.00	                                                               aa(dB,
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  list(dB),
38.83/39.00	                                                                  list(dB))),
38.83/39.00	                                                               cons(dB)),
38.83/39.00	                                                a)),
38.83/39.00	                  as))).
38.83/39.00	tff('3', plain,
38.83/39.00	    rs
38.83/39.00	     = app_encode_app(list(dB), list(dB), 
38.83/39.00	         app_encode_app(fun(list(dB), list(dB)), 
38.83/39.00	           app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
38.83/39.00	           app_encode_app(dB, fun(list(dB), list(dB)), 
38.83/39.00	             app_encode_app(fun(dB, fun(list(dB), list(dB))), 
38.83/39.00	               app_encode_fun(dB, fun(list(dB), list(dB))), 
38.83/39.00	               aa(dB, fun(list(dB), list(dB))), cons(dB)), a)), as),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_54])).
38.83/39.00	tff(zf_stmt_74, axiom,
38.83/39.00	  (![A:$tType,B:$tType,Xs:list(B),X:B,Aa:A,F:fun(A,fun(B,A))]:
38.83/39.00	     (app_encode_app(list(B),A,
38.83/39.00	                     app_encode_app(A,app_encode_fun(list(B),A),
38.83/39.00	                                    app_encode_app(fun(A,fun(B,A)),
38.83/39.00	                                                   app_encode_fun(A,
38.83/39.00	                                                                  app_encode_fun(
38.83/39.00	                                                                  list(B),A)),
38.83/39.00	                                                   foldl(A,B),F),
38.83/39.00	                                    Aa),
38.83/39.00	                     app_encode_app(list(B),list(B),
38.83/39.00	                                    app_encode_app(fun(list(B),list(B)),
38.83/39.00	                                                   app_encode_fun(list(B),
38.83/39.00	                                                                  list(B)),
38.83/39.00	                                                   aa(list(B),list(B)),
38.83/39.00	                                                   app_encode_app(B,
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  list(B),
38.83/39.00	                                                                  list(B)),
38.83/39.00	                                                                  app_encode_app(
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  B,
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  list(B),
38.83/39.00	                                                                  list(B))),
38.83/39.00	                                                                  app_encode_fun(
38.83/39.00	                                                                  B,
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  list(B),
38.83/39.00	                                                                  list(B))),
38.83/39.00	                                                                  aa(
38.83/39.00	                                                                  B,
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  list(B),
38.83/39.00	                                                                  list(B))),
38.83/39.00	                                                                  cons(B)),X)),
38.83/39.00	                                    Xs)) =
38.83/39.00	      app_encode_app(list(B),A,
38.83/39.00	                     app_encode_app(A,app_encode_fun(list(B),A),
38.83/39.00	                                    app_encode_app(fun(A,fun(B,A)),
38.83/39.00	                                                   app_encode_fun(A,
38.83/39.00	                                                                  app_encode_fun(
38.83/39.00	                                                                  list(B),A)),
38.83/39.00	                                                   foldl(A,B),F),
38.83/39.00	                                    app_encode_app(B,A,
38.83/39.00	                                                   app_encode_app(fun(B,A),
38.83/39.00	                                                                  app_encode_fun(
38.83/39.00	                                                                  B,A),
38.83/39.00	                                                                  aa(B,A),
38.83/39.00	                                                                  app_encode_app(
38.83/39.00	                                                                  A,fun(B,A),
38.83/39.00	                                                                  app_encode_app(
38.83/39.00	                                                                  fun(
38.83/39.00	                                                                  A,fun(B,A)),
38.83/39.00	                                                                  app_encode_fun(
38.83/39.00	                                                                  A,fun(B,A)),
38.83/39.00	                                                                  aa(
38.83/39.00	                                                                  A,fun(B,A)),
38.83/39.00	                                                                  F),Aa)),
38.83/39.00	                                                   X)),
38.83/39.00	                     Xs)))).
38.83/39.00	tff('4', plain,
38.83/39.00	    ![X52 : $tType, X53 : $tType, X54 : fun(X53, fun(X52, X53)), X55 : X53, 
38.83/39.00	      X56 : X52, X57 : list(X52)]:
38.83/39.00	      app_encode_app(list(X52), X53, 
38.83/39.00	        app_encode_app(X53, app_encode_fun(list(X52), X53), 
38.83/39.00	          app_encode_app(fun(X53, fun(X52, X53)), 
38.83/39.00	            app_encode_fun(X53, app_encode_fun(list(X52), X53)), 
38.83/39.00	            foldl(X53, X52), X54), X55), 
38.83/39.00	        app_encode_app(list(X52), list(X52), 
38.83/39.00	          app_encode_app(fun(list(X52), list(X52)), 
38.83/39.00	            app_encode_fun(list(X52), list(X52)), aa(list(X52), list(X52)), 
38.83/39.00	            app_encode_app(X52, fun(list(X52), list(X52)), 
38.83/39.00	              app_encode_app(fun(X52, fun(list(X52), list(X52))), 
38.83/39.00	                app_encode_fun(X52, fun(list(X52), list(X52))), 
38.83/39.00	                aa(X52, fun(list(X52), list(X52))), cons(X52)), X56)), X57))
38.83/39.00	       = app_encode_app(list(X52), X53, 
38.83/39.00	           app_encode_app(X53, app_encode_fun(list(X52), X53), 
38.83/39.00	             app_encode_app(fun(X53, fun(X52, X53)), 
38.83/39.00	               app_encode_fun(X53, app_encode_fun(list(X52), X53)), 
38.83/39.00	               foldl(X53, X52), X54), 
38.83/39.00	             app_encode_app(X52, X53, 
38.83/39.00	               app_encode_app(fun(X52, X53), app_encode_fun(X52, X53), 
38.83/39.00	                 aa(X52, X53), 
38.83/39.00	                 app_encode_app(X53, fun(X52, X53), 
38.83/39.00	                   app_encode_app(fun(X53, fun(X52, X53)), 
38.83/39.00	                     app_encode_fun(X53, fun(X52, X53)), 
38.83/39.00	                     aa(X53, fun(X52, X53)), X54), X55)), X56)), X57),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_74])).
38.83/39.00	tff('5', plain,
38.83/39.00	    ![X0 : $tType, X1 : X0, X2 : fun(X0, fun(dB, X0))]:
38.83/39.00	      app_encode_app(list(dB), X0, 
38.83/39.00	        app_encode_app(X0, app_encode_fun(list(dB), X0), 
38.83/39.00	          app_encode_app(fun(X0, fun(dB, X0)), 
38.83/39.00	            app_encode_fun(X0, app_encode_fun(list(dB), X0)), foldl(X0, dB), 
38.83/39.00	            X2), X1), rs)
38.83/39.00	       = app_encode_app(list(dB), X0, 
38.83/39.00	           app_encode_app(X0, app_encode_fun(list(dB), X0), 
38.83/39.00	             app_encode_app(fun(X0, fun(dB, X0)), 
38.83/39.00	               app_encode_fun(X0, app_encode_fun(list(dB), X0)), 
38.83/39.00	               foldl(X0, dB), X2), 
38.83/39.00	             app_encode_app(dB, X0, 
38.83/39.00	               app_encode_app(fun(dB, X0), app_encode_fun(dB, X0), 
38.83/39.00	                 aa(dB, X0), 
38.83/39.00	                 app_encode_app(X0, fun(dB, X0), 
38.83/39.00	                   app_encode_app(fun(X0, fun(dB, X0)), 
38.83/39.00	                     app_encode_fun(X0, fun(dB, X0)), aa(X0, fun(dB, X0)), 
38.83/39.00	                     X2), X1)), a)), as),
38.83/39.00	    inference('sup+', [status(thm)], ['3', '4'])).
38.83/39.00	tff(zf_stmt_56, axiom,
38.83/39.00	  (app_encode_app(bool,$o,pp,
38.83/39.00	                  app_encode_app(type,bool,
38.83/39.00	                                 app_encode_app(fun(type,bool),
38.83/39.00	                                                app_encode_fun(type,bool),
38.83/39.00	                                                aa(type,bool),
38.83/39.00	                                                app_encode_app(dB,
38.83/39.00	                                                               fun(type,bool),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(nat,type),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               fun(type,bool)),
38.83/39.00	                                                               typing,
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               type,
38.83/39.00	                                                               fun(nat,type),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               nat,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               type,
38.83/39.00	                                                               fun(nat,type)),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(nat,type),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               nat,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               type,
38.83/39.00	                                                               fun(nat,type))),
38.83/39.00	                                                               shift(type),e),
38.83/39.00	                                                               i),t1)),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               list(dB),dB,
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               list(dB),dB),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               fun(dB,
38.83/39.00	                                                                   fun(dB,dB)),
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               dB,
38.83/39.00	                                                               app_encode_fun(
38.83/39.00	                                                               list(dB),dB)),
38.83/39.00	                                                               foldl(dB,dB),
38.83/39.00	                                                               app),
38.83/39.00	                                                               app_encode_app(
38.83/39.00	                                                               nat,dB,var,n)),
38.83/39.00	                                                               rs))),
38.83/39.00	                                 t)))).
38.83/39.00	tff('6', plain,
38.83/39.00	    app_encode_app(bool, $o, pp, 
38.83/39.00	      app_encode_app(type, bool, 
38.83/39.00	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
38.83/39.00	          aa(type, bool), 
38.83/39.00	          app_encode_app(dB, fun(type, bool), 
38.83/39.00	            app_encode_app(fun(nat, type), 
38.83/39.00	              app_encode_fun(dB, fun(type, bool)), typing, 
38.83/39.00	              app_encode_app(type, fun(nat, type), 
38.83/39.00	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
38.83/39.00	                  app_encode_app(fun(nat, type), 
38.83/39.00	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
38.83/39.00	                    shift(type), e), i), t1)), 
38.83/39.00	            app_encode_app(list(dB), dB, 
38.83/39.00	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
38.83/39.00	                app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
38.83/39.00	                  foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
38.83/39.00	        t)),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_56])).
38.83/39.00	tff('7', plain,
38.83/39.00	    app_encode_app(bool, $o, pp, 
38.83/39.00	      app_encode_app(type, bool, 
38.83/39.00	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
38.83/39.00	          aa(type, bool), 
38.83/39.00	          app_encode_app(dB, fun(type, bool), 
38.83/39.00	            app_encode_app(fun(nat, type), 
38.83/39.00	              app_encode_fun(dB, fun(type, bool)), typing, 
38.83/39.00	              app_encode_app(type, fun(nat, type), 
38.83/39.00	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
38.83/39.00	                  app_encode_app(fun(nat, type), 
38.83/39.00	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
38.83/39.00	                    shift(type), e), n), t1)), 
38.83/39.00	            app_encode_app(list(dB), dB, 
38.83/39.00	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
38.83/39.00	                app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
38.83/39.00	                  foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
38.83/39.00	        t)),
38.83/39.00	    inference('demod', [status(thm)], ['6', '1'])).
38.83/39.00	tff(zf_stmt_161, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
38.83/39.00	tff('8', plain, ![X414 : bool]: (X414 = fTrue | X414 = fFalse),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_161])).
38.83/39.00	tff(zf_stmt_152, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
38.83/39.00	tff('9', plain, ~ app_encode_app(bool, $o, pp, fFalse),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_152])).
38.83/39.00	tff('10', plain,
38.83/39.00	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
38.83/39.00	    inference('sup-', [status(thm)], ['8', '9'])).
38.83/39.00	tff('11', plain,
38.83/39.00	    (~ $true
38.83/39.00	     | app_encode_app(type, bool, 
38.83/39.00	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
38.83/39.00	           aa(type, bool), 
38.83/39.00	           app_encode_app(dB, fun(type, bool), 
38.83/39.00	             app_encode_app(fun(nat, type), 
38.83/39.00	               app_encode_fun(dB, fun(type, bool)), typing, 
38.83/39.00	               app_encode_app(type, fun(nat, type), 
38.83/39.00	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
38.83/39.00	                   app_encode_app(fun(nat, type), 
38.83/39.00	                     app_encode_fun(nat, 
38.83/39.00	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
38.83/39.00	                   n), t1)), 
38.83/39.00	             app_encode_app(list(dB), dB, 
38.83/39.00	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
38.83/39.00	                 app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
38.83/39.00	                   foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
38.83/39.00	         t)
38.83/39.00	        = fTrue),
38.83/39.00	    inference('sup-', [status(thm)], ['7', '10'])).
38.83/39.00	tff('12', plain,
38.83/39.00	    app_encode_app(type, bool, 
38.83/39.00	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
38.83/39.00	        aa(type, bool), 
38.83/39.00	        app_encode_app(dB, fun(type, bool), 
38.83/39.00	          app_encode_app(fun(nat, type), 
38.83/39.00	            app_encode_fun(dB, fun(type, bool)), typing, 
38.83/39.00	            app_encode_app(type, fun(nat, type), 
38.83/39.00	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
38.83/39.00	                app_encode_app(fun(nat, type), 
38.83/39.00	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
38.83/39.00	                  shift(type), e), n), t1)), 
38.83/39.00	          app_encode_app(list(dB), dB, 
38.83/39.00	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
38.83/39.00	              app_encode_app(fun(dB, fun(dB, dB)), 
38.83/39.00	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
38.83/39.00	                foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
38.83/39.00	      t)
38.83/39.00	     = fTrue,
38.83/39.00	    inference('simplify', [status(thm)], ['11'])).
38.83/39.00	tff(zf_stmt_153, axiom, (app_encode_app(bool,$o,pp,fTrue))).
38.83/39.00	tff('13', plain, app_encode_app(bool, $o, pp, fTrue),
38.83/39.00	    inference('cnf', [status(esa)], [zf_stmt_153])).
38.83/39.00	tff('14', plain, ~ $true,
38.83/39.00	    inference('demod', [status(thm)], ['2', '5', '12', '13'])).
38.83/39.00	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
38.83/39.00	
38.83/39.00	% SZS output end Refutation
38.83/39.00	EOF
