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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n114.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:54:38 CST 2018
17.46/17.68	% done 1981 iterations in 17.477s
17.46/17.68	% SZS status Theorem for 'stdin'
17.46/17.68	% SZS output start Refutation
17.46/17.68	tff(zf_stmt_162, conjecture,
17.46/17.68	  (app_encode_app(bool,$o,pp,
17.46/17.68	                  app_encode_app(type,bool,
17.46/17.68	                                 app_encode_app(fun(type,bool),
17.46/17.68	                                                app_encode_fun(type,bool),
17.46/17.68	                                                aa(type,bool),
17.46/17.68	                                                app_encode_app(dB,
17.46/17.68	                                                               fun(type,bool),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(nat,type),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               fun(type,bool)),
17.46/17.68	                                                               typing,
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               type,
17.46/17.68	                                                               fun(nat,type),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               nat,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               type,
17.46/17.68	                                                               fun(nat,type)),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(nat,type),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               nat,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               type,
17.46/17.68	                                                               fun(nat,type))),
17.46/17.68	                                                               shift(type),e),
17.46/17.68	                                                               i),t1)),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               list(dB),dB,
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               list(dB),dB),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(dB,
17.46/17.68	                                                                   fun(dB,dB)),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               list(dB),dB)),
17.46/17.68	                                                               foldl(dB,dB),
17.46/17.68	                                                               app),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               dB,dB,
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(dB,dB),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,dB),
17.46/17.68	                                                               aa(dB,dB),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               dB,fun(dB,dB),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(dB,
17.46/17.68	                                                                   fun(dB,dB)),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,fun(dB,dB)),
17.46/17.68	                                                               aa(dB,
17.46/17.68	                                                                  fun(dB,dB)),
17.46/17.68	                                                               app),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               nat,dB,var,n))),
17.46/17.68	                                                               a)),as))),
17.46/17.68	                                 t)))).
17.46/17.68	tff(zf_stmt_0, negated_conjecture,
17.46/17.68	  (~
17.46/17.68	    app_encode_app(bool,$o,pp,
17.46/17.68	                   app_encode_app(type,bool,
17.46/17.68	                                  app_encode_app(fun(type,bool),
17.46/17.68	                                                 app_encode_fun(type,bool),
17.46/17.68	                                                 aa(type,bool),
17.46/17.68	                                                 app_encode_app(dB,
17.46/17.68	                                                                fun(type,bool),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                fun(nat,type),
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                dB,
17.46/17.68	                                                                fun(type,bool)),
17.46/17.68	                                                                typing,
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                type,
17.46/17.68	                                                                fun(nat,type),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                nat,
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                type,
17.46/17.68	                                                                fun(nat,type)),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                fun(nat,type),
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                nat,
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                type,
17.46/17.68	                                                                fun(nat,type))),
17.46/17.68	                                                                shift(type),e),
17.46/17.68	                                                                i),t1)),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                list(dB),dB,
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                dB,
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                list(dB),dB),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                fun(dB,
17.46/17.68	                                                                    fun(
17.46/17.68	                                                                    dB,dB)),
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                dB,
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                list(dB),dB)),
17.46/17.68	                                                                foldl(dB,dB),
17.46/17.68	                                                                app),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                dB,dB,
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                fun(dB,dB),
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                dB,dB),
17.46/17.68	                                                                aa(dB,dB),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                dB,
17.46/17.68	                                                                fun(dB,dB),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                fun(dB,
17.46/17.68	                                                                    fun(
17.46/17.68	                                                                    dB,dB)),
17.46/17.68	                                                                app_encode_fun(
17.46/17.68	                                                                dB,fun(dB,dB)),
17.46/17.68	                                                                aa(dB,
17.46/17.68	                                                                   fun(dB,dB)),
17.46/17.68	                                                                app),
17.46/17.68	                                                                app_encode_app(
17.46/17.68	                                                                nat,dB,var,n))),
17.46/17.68	                                                                a)),as))),
17.46/17.68	                                  t)))).
17.46/17.68	tff('0', plain,
17.46/17.68	    ~ app_encode_app(bool, $o, pp, 
17.46/17.68	        app_encode_app(type, bool, 
17.46/17.68	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
17.46/17.68	            aa(type, bool), 
17.46/17.68	            app_encode_app(dB, fun(type, bool), 
17.46/17.68	              app_encode_app(fun(nat, type), 
17.46/17.68	                app_encode_fun(dB, fun(type, bool)), typing, 
17.46/17.68	                app_encode_app(type, fun(nat, type), 
17.46/17.68	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
17.46/17.68	                    app_encode_app(fun(nat, type), 
17.46/17.68	                      app_encode_fun(nat, 
17.46/17.68	                        app_encode_fun(type, fun(nat, type))), shift(type), 
17.46/17.68	                      e), i), t1)), 
17.46/17.68	              app_encode_app(list(dB), dB, 
17.46/17.68	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
17.46/17.68	                  app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
17.46/17.68	                    foldl(dB, dB), app), 
17.46/17.68	                  app_encode_app(dB, dB, 
17.46/17.68	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
17.46/17.68	                      aa(dB, dB), 
17.46/17.68	                      app_encode_app(dB, fun(dB, dB), 
17.46/17.68	                        app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                          app_encode_fun(dB, fun(dB, dB)), 
17.46/17.68	                          aa(dB, fun(dB, dB)), app), 
17.46/17.68	                        app_encode_app(nat, dB, var, n))), a)), as))), t)),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
17.46/17.68	tff(zf_stmt_53, axiom, (n = i)).
17.46/17.68	tff('1', plain, n = i, inference('cnf', [status(esa)], [zf_stmt_53])).
17.46/17.68	tff('2', plain,
17.46/17.68	    ~ app_encode_app(bool, $o, pp, 
17.46/17.68	        app_encode_app(type, bool, 
17.46/17.68	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
17.46/17.68	            aa(type, bool), 
17.46/17.68	            app_encode_app(dB, fun(type, bool), 
17.46/17.68	              app_encode_app(fun(nat, type), 
17.46/17.68	                app_encode_fun(dB, fun(type, bool)), typing, 
17.46/17.68	                app_encode_app(type, fun(nat, type), 
17.46/17.68	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
17.46/17.68	                    app_encode_app(fun(nat, type), 
17.46/17.68	                      app_encode_fun(nat, 
17.46/17.68	                        app_encode_fun(type, fun(nat, type))), shift(type), 
17.46/17.68	                      e), n), t1)), 
17.46/17.68	              app_encode_app(list(dB), dB, 
17.46/17.68	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
17.46/17.68	                  app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
17.46/17.68	                    foldl(dB, dB), app), 
17.46/17.68	                  app_encode_app(dB, dB, 
17.46/17.68	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
17.46/17.68	                      aa(dB, dB), 
17.46/17.68	                      app_encode_app(dB, fun(dB, dB), 
17.46/17.68	                        app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                          app_encode_fun(dB, fun(dB, dB)), 
17.46/17.68	                          aa(dB, fun(dB, dB)), app), 
17.46/17.68	                        app_encode_app(nat, dB, var, n))), a)), as))), t)),
17.46/17.68	    inference('demod', [status(thm)], ['0', '1'])).
17.46/17.68	tff(zf_stmt_54, axiom,
17.46/17.68	  (rs =
17.46/17.68	   app_encode_app(list(dB),list(dB),
17.46/17.68	                  app_encode_app(fun(list(dB),list(dB)),
17.46/17.68	                                 app_encode_fun(list(dB),list(dB)),
17.46/17.68	                                 aa(list(dB),list(dB)),
17.46/17.68	                                 app_encode_app(dB,fun(list(dB),list(dB)),
17.46/17.68	                                                app_encode_app(fun(dB,
17.46/17.68	                                                                   fun(
17.46/17.68	                                                                   list(dB),
17.46/17.68	                                                                   list(dB))),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               fun(list(dB),
17.46/17.68	                                                                   list(dB))),
17.46/17.68	                                                               aa(dB,
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  list(dB),
17.46/17.68	                                                                  list(dB))),
17.46/17.68	                                                               cons(dB)),
17.46/17.68	                                                a)),
17.46/17.68	                  as))).
17.46/17.68	tff('3', plain,
17.46/17.68	    rs
17.46/17.68	     = app_encode_app(list(dB), list(dB), 
17.46/17.68	         app_encode_app(fun(list(dB), list(dB)), 
17.46/17.68	           app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
17.46/17.68	           app_encode_app(dB, fun(list(dB), list(dB)), 
17.46/17.68	             app_encode_app(fun(dB, fun(list(dB), list(dB))), 
17.46/17.68	               app_encode_fun(dB, fun(list(dB), list(dB))), 
17.46/17.68	               aa(dB, fun(list(dB), list(dB))), cons(dB)), a)), as),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_54])).
17.46/17.68	tff(zf_stmt_74, axiom,
17.46/17.68	  (![A:$tType,B:$tType,Xs:list(B),X:B,Aa:A,F:fun(A,fun(B,A))]:
17.46/17.68	     (app_encode_app(list(B),A,
17.46/17.68	                     app_encode_app(A,app_encode_fun(list(B),A),
17.46/17.68	                                    app_encode_app(fun(A,fun(B,A)),
17.46/17.68	                                                   app_encode_fun(A,
17.46/17.68	                                                                  app_encode_fun(
17.46/17.68	                                                                  list(B),A)),
17.46/17.68	                                                   foldl(A,B),F),
17.46/17.68	                                    Aa),
17.46/17.68	                     app_encode_app(list(B),list(B),
17.46/17.68	                                    app_encode_app(fun(list(B),list(B)),
17.46/17.68	                                                   app_encode_fun(list(B),
17.46/17.68	                                                                  list(B)),
17.46/17.68	                                                   aa(list(B),list(B)),
17.46/17.68	                                                   app_encode_app(B,
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  list(B),
17.46/17.68	                                                                  list(B)),
17.46/17.68	                                                                  app_encode_app(
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  B,
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  list(B),
17.46/17.68	                                                                  list(B))),
17.46/17.68	                                                                  app_encode_fun(
17.46/17.68	                                                                  B,
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  list(B),
17.46/17.68	                                                                  list(B))),
17.46/17.68	                                                                  aa(
17.46/17.68	                                                                  B,
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  list(B),
17.46/17.68	                                                                  list(B))),
17.46/17.68	                                                                  cons(B)),X)),
17.46/17.68	                                    Xs)) =
17.46/17.68	      app_encode_app(list(B),A,
17.46/17.68	                     app_encode_app(A,app_encode_fun(list(B),A),
17.46/17.68	                                    app_encode_app(fun(A,fun(B,A)),
17.46/17.68	                                                   app_encode_fun(A,
17.46/17.68	                                                                  app_encode_fun(
17.46/17.68	                                                                  list(B),A)),
17.46/17.68	                                                   foldl(A,B),F),
17.46/17.68	                                    app_encode_app(B,A,
17.46/17.68	                                                   app_encode_app(fun(B,A),
17.46/17.68	                                                                  app_encode_fun(
17.46/17.68	                                                                  B,A),
17.46/17.68	                                                                  aa(B,A),
17.46/17.68	                                                                  app_encode_app(
17.46/17.68	                                                                  A,fun(B,A),
17.46/17.68	                                                                  app_encode_app(
17.46/17.68	                                                                  fun(
17.46/17.68	                                                                  A,fun(B,A)),
17.46/17.68	                                                                  app_encode_fun(
17.46/17.68	                                                                  A,fun(B,A)),
17.46/17.68	                                                                  aa(
17.46/17.68	                                                                  A,fun(B,A)),
17.46/17.68	                                                                  F),Aa)),
17.46/17.68	                                                   X)),
17.46/17.68	                     Xs)))).
17.46/17.68	tff('4', plain,
17.46/17.68	    ![X52 : $tType, X53 : $tType, X54 : fun(X53, fun(X52, X53)), X55 : X53, 
17.46/17.68	      X56 : X52, X57 : list(X52)]:
17.46/17.68	      app_encode_app(list(X52), X53, 
17.46/17.68	        app_encode_app(X53, app_encode_fun(list(X52), X53), 
17.46/17.68	          app_encode_app(fun(X53, fun(X52, X53)), 
17.46/17.68	            app_encode_fun(X53, app_encode_fun(list(X52), X53)), 
17.46/17.68	            foldl(X53, X52), X54), X55), 
17.46/17.68	        app_encode_app(list(X52), list(X52), 
17.46/17.68	          app_encode_app(fun(list(X52), list(X52)), 
17.46/17.68	            app_encode_fun(list(X52), list(X52)), aa(list(X52), list(X52)), 
17.46/17.68	            app_encode_app(X52, fun(list(X52), list(X52)), 
17.46/17.68	              app_encode_app(fun(X52, fun(list(X52), list(X52))), 
17.46/17.68	                app_encode_fun(X52, fun(list(X52), list(X52))), 
17.46/17.68	                aa(X52, fun(list(X52), list(X52))), cons(X52)), X56)), X57))
17.46/17.68	       = app_encode_app(list(X52), X53, 
17.46/17.68	           app_encode_app(X53, app_encode_fun(list(X52), X53), 
17.46/17.68	             app_encode_app(fun(X53, fun(X52, X53)), 
17.46/17.68	               app_encode_fun(X53, app_encode_fun(list(X52), X53)), 
17.46/17.68	               foldl(X53, X52), X54), 
17.46/17.68	             app_encode_app(X52, X53, 
17.46/17.68	               app_encode_app(fun(X52, X53), app_encode_fun(X52, X53), 
17.46/17.68	                 aa(X52, X53), 
17.46/17.68	                 app_encode_app(X53, fun(X52, X53), 
17.46/17.68	                   app_encode_app(fun(X53, fun(X52, X53)), 
17.46/17.68	                     app_encode_fun(X53, fun(X52, X53)), 
17.46/17.68	                     aa(X53, fun(X52, X53)), X54), X55)), X56)), X57),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_74])).
17.46/17.68	tff('5', plain,
17.46/17.68	    ![X0 : $tType, X1 : X0, X2 : fun(X0, fun(dB, X0))]:
17.46/17.68	      app_encode_app(list(dB), X0, 
17.46/17.68	        app_encode_app(X0, app_encode_fun(list(dB), X0), 
17.46/17.68	          app_encode_app(fun(X0, fun(dB, X0)), 
17.46/17.68	            app_encode_fun(X0, app_encode_fun(list(dB), X0)), foldl(X0, dB), 
17.46/17.68	            X2), X1), rs)
17.46/17.68	       = app_encode_app(list(dB), X0, 
17.46/17.68	           app_encode_app(X0, app_encode_fun(list(dB), X0), 
17.46/17.68	             app_encode_app(fun(X0, fun(dB, X0)), 
17.46/17.68	               app_encode_fun(X0, app_encode_fun(list(dB), X0)), 
17.46/17.68	               foldl(X0, dB), X2), 
17.46/17.68	             app_encode_app(dB, X0, 
17.46/17.68	               app_encode_app(fun(dB, X0), app_encode_fun(dB, X0), 
17.46/17.68	                 aa(dB, X0), 
17.46/17.68	                 app_encode_app(X0, fun(dB, X0), 
17.46/17.68	                   app_encode_app(fun(X0, fun(dB, X0)), 
17.46/17.68	                     app_encode_fun(X0, fun(dB, X0)), aa(X0, fun(dB, X0)), 
17.46/17.68	                     X2), X1)), a)), as),
17.46/17.68	    inference('sup+', [status(thm)], ['3', '4'])).
17.46/17.68	tff(zf_stmt_56, axiom,
17.46/17.68	  (app_encode_app(bool,$o,pp,
17.46/17.68	                  app_encode_app(type,bool,
17.46/17.68	                                 app_encode_app(fun(type,bool),
17.46/17.68	                                                app_encode_fun(type,bool),
17.46/17.68	                                                aa(type,bool),
17.46/17.68	                                                app_encode_app(dB,
17.46/17.68	                                                               fun(type,bool),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(nat,type),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               fun(type,bool)),
17.46/17.68	                                                               typing,
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               type,
17.46/17.68	                                                               fun(nat,type),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               nat,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               type,
17.46/17.68	                                                               fun(nat,type)),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(nat,type),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               nat,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               type,
17.46/17.68	                                                               fun(nat,type))),
17.46/17.68	                                                               shift(type),e),
17.46/17.68	                                                               i),t1)),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               list(dB),dB,
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               list(dB),dB),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               fun(dB,
17.46/17.68	                                                                   fun(dB,dB)),
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               dB,
17.46/17.68	                                                               app_encode_fun(
17.46/17.68	                                                               list(dB),dB)),
17.46/17.68	                                                               foldl(dB,dB),
17.46/17.68	                                                               app),
17.46/17.68	                                                               app_encode_app(
17.46/17.68	                                                               nat,dB,var,n)),
17.46/17.68	                                                               rs))),
17.46/17.68	                                 t)))).
17.46/17.68	tff('6', plain,
17.46/17.68	    app_encode_app(bool, $o, pp, 
17.46/17.68	      app_encode_app(type, bool, 
17.46/17.68	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
17.46/17.68	          aa(type, bool), 
17.46/17.68	          app_encode_app(dB, fun(type, bool), 
17.46/17.68	            app_encode_app(fun(nat, type), 
17.46/17.68	              app_encode_fun(dB, fun(type, bool)), typing, 
17.46/17.68	              app_encode_app(type, fun(nat, type), 
17.46/17.68	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
17.46/17.68	                  app_encode_app(fun(nat, type), 
17.46/17.68	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
17.46/17.68	                    shift(type), e), i), t1)), 
17.46/17.68	            app_encode_app(list(dB), dB, 
17.46/17.68	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
17.46/17.68	                app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
17.46/17.68	                  foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
17.46/17.68	        t)),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_56])).
17.46/17.68	tff('7', plain,
17.46/17.68	    app_encode_app(bool, $o, pp, 
17.46/17.68	      app_encode_app(type, bool, 
17.46/17.68	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
17.46/17.68	          aa(type, bool), 
17.46/17.68	          app_encode_app(dB, fun(type, bool), 
17.46/17.68	            app_encode_app(fun(nat, type), 
17.46/17.68	              app_encode_fun(dB, fun(type, bool)), typing, 
17.46/17.68	              app_encode_app(type, fun(nat, type), 
17.46/17.68	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
17.46/17.68	                  app_encode_app(fun(nat, type), 
17.46/17.68	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
17.46/17.68	                    shift(type), e), n), t1)), 
17.46/17.68	            app_encode_app(list(dB), dB, 
17.46/17.68	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
17.46/17.68	                app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
17.46/17.68	                  foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
17.46/17.68	        t)),
17.46/17.68	    inference('demod', [status(thm)], ['6', '1'])).
17.46/17.68	tff(zf_stmt_161, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
17.46/17.68	tff('8', plain, ![X414 : bool]: (X414 = fTrue | X414 = fFalse),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_161])).
17.46/17.68	tff(zf_stmt_152, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
17.46/17.68	tff('9', plain, ~ app_encode_app(bool, $o, pp, fFalse),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_152])).
17.46/17.68	tff('10', plain,
17.46/17.68	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
17.46/17.68	    inference('sup-', [status(thm)], ['8', '9'])).
17.46/17.68	tff('11', plain,
17.46/17.68	    (~ $true
17.46/17.68	     | app_encode_app(type, bool, 
17.46/17.68	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
17.46/17.68	           aa(type, bool), 
17.46/17.68	           app_encode_app(dB, fun(type, bool), 
17.46/17.68	             app_encode_app(fun(nat, type), 
17.46/17.68	               app_encode_fun(dB, fun(type, bool)), typing, 
17.46/17.68	               app_encode_app(type, fun(nat, type), 
17.46/17.68	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
17.46/17.68	                   app_encode_app(fun(nat, type), 
17.46/17.68	                     app_encode_fun(nat, 
17.46/17.68	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
17.46/17.68	                   n), t1)), 
17.46/17.68	             app_encode_app(list(dB), dB, 
17.46/17.68	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
17.46/17.68	                 app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
17.46/17.68	                   foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
17.46/17.68	         t)
17.46/17.68	        = fTrue),
17.46/17.68	    inference('sup-', [status(thm)], ['7', '10'])).
17.46/17.68	tff('12', plain,
17.46/17.68	    app_encode_app(type, bool, 
17.46/17.68	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
17.46/17.68	        aa(type, bool), 
17.46/17.68	        app_encode_app(dB, fun(type, bool), 
17.46/17.68	          app_encode_app(fun(nat, type), 
17.46/17.68	            app_encode_fun(dB, fun(type, bool)), typing, 
17.46/17.68	            app_encode_app(type, fun(nat, type), 
17.46/17.68	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
17.46/17.68	                app_encode_app(fun(nat, type), 
17.46/17.68	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
17.46/17.68	                  shift(type), e), n), t1)), 
17.46/17.68	          app_encode_app(list(dB), dB, 
17.46/17.68	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
17.46/17.68	              app_encode_app(fun(dB, fun(dB, dB)), 
17.46/17.68	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
17.46/17.68	                foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
17.46/17.68	      t)
17.46/17.68	     = fTrue,
17.46/17.68	    inference('simplify', [status(thm)], ['11'])).
17.46/17.68	tff(zf_stmt_153, axiom, (app_encode_app(bool,$o,pp,fTrue))).
17.46/17.68	tff('13', plain, app_encode_app(bool, $o, pp, fTrue),
17.46/17.68	    inference('cnf', [status(esa)], [zf_stmt_153])).
17.46/17.68	tff('14', plain, ~ $true,
17.46/17.68	    inference('demod', [status(thm)], ['2', '5', '12', '13'])).
17.46/17.68	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
17.46/17.68	
17.46/17.68	% SZS output end Refutation
17.46/17.69	EOF
