0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n066.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 06:54:38 CST 2018
13.67/13.89	% done 1746 iterations in 13.689s
13.67/13.89	% SZS status Theorem for 'stdin'
13.67/13.89	% SZS output start Refutation
13.67/13.90	tff(zf_stmt_161, conjecture,
13.67/13.90	  (app_encode_app(bool,$o,pp,
13.67/13.90	                  app_encode_app(type,bool,
13.67/13.90	                                 app_encode_app(fun(type,bool),
13.67/13.90	                                                app_encode_fun(type,bool),
13.67/13.90	                                                aa(type,bool),
13.67/13.90	                                                app_encode_app(dB,
13.67/13.90	                                                               fun(type,bool),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(nat,type),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               fun(type,bool)),
13.67/13.90	                                                               typing,
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               type,
13.67/13.90	                                                               fun(nat,type),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               nat,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               type,
13.67/13.90	                                                               fun(nat,type)),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(nat,type),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               nat,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               type,
13.67/13.90	                                                               fun(nat,type))),
13.67/13.90	                                                               shift(type),e),
13.67/13.90	                                                               i),t1)),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               list(dB),dB,
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               list(dB),dB),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(dB,
13.67/13.90	                                                                   fun(dB,dB)),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               list(dB),dB)),
13.67/13.90	                                                               foldl(dB,dB),
13.67/13.90	                                                               app),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               dB,dB,
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(dB,dB),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,dB),
13.67/13.90	                                                               aa(dB,dB),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               dB,fun(dB,dB),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(dB,
13.67/13.90	                                                                   fun(dB,dB)),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,fun(dB,dB)),
13.67/13.90	                                                               aa(dB,
13.67/13.90	                                                                  fun(dB,dB)),
13.67/13.90	                                                               app),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               nat,dB,var,n))),
13.67/13.90	                                                               a)),as))),
13.67/13.90	                                 t)))).
13.67/13.90	tff(zf_stmt_0, negated_conjecture,
13.67/13.90	  (~
13.67/13.90	    app_encode_app(bool,$o,pp,
13.67/13.90	                   app_encode_app(type,bool,
13.67/13.90	                                  app_encode_app(fun(type,bool),
13.67/13.90	                                                 app_encode_fun(type,bool),
13.67/13.90	                                                 aa(type,bool),
13.67/13.90	                                                 app_encode_app(dB,
13.67/13.90	                                                                fun(type,bool),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                fun(nat,type),
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                dB,
13.67/13.90	                                                                fun(type,bool)),
13.67/13.90	                                                                typing,
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                type,
13.67/13.90	                                                                fun(nat,type),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                nat,
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                type,
13.67/13.90	                                                                fun(nat,type)),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                fun(nat,type),
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                nat,
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                type,
13.67/13.90	                                                                fun(nat,type))),
13.67/13.90	                                                                shift(type),e),
13.67/13.90	                                                                i),t1)),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                list(dB),dB,
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                dB,
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                list(dB),dB),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                fun(dB,
13.67/13.90	                                                                    fun(
13.67/13.90	                                                                    dB,dB)),
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                dB,
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                list(dB),dB)),
13.67/13.90	                                                                foldl(dB,dB),
13.67/13.90	                                                                app),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                dB,dB,
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                fun(dB,dB),
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                dB,dB),
13.67/13.90	                                                                aa(dB,dB),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                dB,
13.67/13.90	                                                                fun(dB,dB),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                fun(dB,
13.67/13.90	                                                                    fun(
13.67/13.90	                                                                    dB,dB)),
13.67/13.90	                                                                app_encode_fun(
13.67/13.90	                                                                dB,fun(dB,dB)),
13.67/13.90	                                                                aa(dB,
13.67/13.90	                                                                   fun(dB,dB)),
13.67/13.90	                                                                app),
13.67/13.90	                                                                app_encode_app(
13.67/13.90	                                                                nat,dB,var,n))),
13.67/13.90	                                                                a)),as))),
13.67/13.90	                                  t)))).
13.67/13.90	tff('0', plain,
13.67/13.90	    ~ app_encode_app(bool, $o, pp, 
13.67/13.90	        app_encode_app(type, bool, 
13.67/13.90	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
13.67/13.90	            aa(type, bool), 
13.67/13.90	            app_encode_app(dB, fun(type, bool), 
13.67/13.90	              app_encode_app(fun(nat, type), 
13.67/13.90	                app_encode_fun(dB, fun(type, bool)), typing, 
13.67/13.90	                app_encode_app(type, fun(nat, type), 
13.67/13.90	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.67/13.90	                    app_encode_app(fun(nat, type), 
13.67/13.90	                      app_encode_fun(nat, 
13.67/13.90	                        app_encode_fun(type, fun(nat, type))), shift(type), 
13.67/13.90	                      e), i), t1)), 
13.67/13.90	              app_encode_app(list(dB), dB, 
13.67/13.90	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
13.67/13.90	                  app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
13.67/13.90	                    foldl(dB, dB), app), 
13.67/13.90	                  app_encode_app(dB, dB, 
13.67/13.90	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
13.67/13.90	                      aa(dB, dB), 
13.67/13.90	                      app_encode_app(dB, fun(dB, dB), 
13.67/13.90	                        app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                          app_encode_fun(dB, fun(dB, dB)), 
13.67/13.90	                          aa(dB, fun(dB, dB)), app), 
13.67/13.90	                        app_encode_app(nat, dB, var, n))), a)), as))), t)),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
13.67/13.90	tff(zf_stmt_52, axiom, (n = i)).
13.67/13.90	tff('1', plain, n = i, inference('cnf', [status(esa)], [zf_stmt_52])).
13.67/13.90	tff('2', plain,
13.67/13.90	    ~ app_encode_app(bool, $o, pp, 
13.67/13.90	        app_encode_app(type, bool, 
13.67/13.90	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
13.67/13.90	            aa(type, bool), 
13.67/13.90	            app_encode_app(dB, fun(type, bool), 
13.67/13.90	              app_encode_app(fun(nat, type), 
13.67/13.90	                app_encode_fun(dB, fun(type, bool)), typing, 
13.67/13.90	                app_encode_app(type, fun(nat, type), 
13.67/13.90	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.67/13.90	                    app_encode_app(fun(nat, type), 
13.67/13.90	                      app_encode_fun(nat, 
13.67/13.90	                        app_encode_fun(type, fun(nat, type))), shift(type), 
13.67/13.90	                      e), n), t1)), 
13.67/13.90	              app_encode_app(list(dB), dB, 
13.67/13.90	                app_encode_app(dB, app_encode_fun(list(dB), dB), 
13.67/13.90	                  app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                    app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
13.67/13.90	                    foldl(dB, dB), app), 
13.67/13.90	                  app_encode_app(dB, dB, 
13.67/13.90	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
13.67/13.90	                      aa(dB, dB), 
13.67/13.90	                      app_encode_app(dB, fun(dB, dB), 
13.67/13.90	                        app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                          app_encode_fun(dB, fun(dB, dB)), 
13.67/13.90	                          aa(dB, fun(dB, dB)), app), 
13.67/13.90	                        app_encode_app(nat, dB, var, n))), a)), as))), t)),
13.67/13.90	    inference('demod', [status(thm)], ['0', '1'])).
13.67/13.90	tff(zf_stmt_53, axiom,
13.67/13.90	  (rs =
13.67/13.90	   app_encode_app(list(dB),list(dB),
13.67/13.90	                  app_encode_app(fun(list(dB),list(dB)),
13.67/13.90	                                 app_encode_fun(list(dB),list(dB)),
13.67/13.90	                                 aa(list(dB),list(dB)),
13.67/13.90	                                 app_encode_app(dB,fun(list(dB),list(dB)),
13.67/13.90	                                                app_encode_app(fun(dB,
13.67/13.90	                                                                   fun(
13.67/13.90	                                                                   list(dB),
13.67/13.90	                                                                   list(dB))),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               fun(list(dB),
13.67/13.90	                                                                   list(dB))),
13.67/13.90	                                                               aa(dB,
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  list(dB),
13.67/13.90	                                                                  list(dB))),
13.67/13.90	                                                               cons(dB)),
13.67/13.90	                                                a)),
13.67/13.90	                  as))).
13.67/13.90	tff('3', plain,
13.67/13.90	    rs
13.67/13.90	     = app_encode_app(list(dB), list(dB), 
13.67/13.90	         app_encode_app(fun(list(dB), list(dB)), 
13.67/13.90	           app_encode_fun(list(dB), list(dB)), aa(list(dB), list(dB)), 
13.67/13.90	           app_encode_app(dB, fun(list(dB), list(dB)), 
13.67/13.90	             app_encode_app(fun(dB, fun(list(dB), list(dB))), 
13.67/13.90	               app_encode_fun(dB, fun(list(dB), list(dB))), 
13.67/13.90	               aa(dB, fun(list(dB), list(dB))), cons(dB)), a)), as),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_53])).
13.67/13.90	tff(zf_stmt_73, axiom,
13.67/13.90	  (![A:$tType,B:$tType,Xs:list(B),X:B,Aa:A,F:fun(A,fun(B,A))]:
13.67/13.90	     (app_encode_app(list(B),A,
13.67/13.90	                     app_encode_app(A,app_encode_fun(list(B),A),
13.67/13.90	                                    app_encode_app(fun(A,fun(B,A)),
13.67/13.90	                                                   app_encode_fun(A,
13.67/13.90	                                                                  app_encode_fun(
13.67/13.90	                                                                  list(B),A)),
13.67/13.90	                                                   foldl(A,B),F),
13.67/13.90	                                    Aa),
13.67/13.90	                     app_encode_app(list(B),list(B),
13.67/13.90	                                    app_encode_app(fun(list(B),list(B)),
13.67/13.90	                                                   app_encode_fun(list(B),
13.67/13.90	                                                                  list(B)),
13.67/13.90	                                                   aa(list(B),list(B)),
13.67/13.90	                                                   app_encode_app(B,
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  list(B),
13.67/13.90	                                                                  list(B)),
13.67/13.90	                                                                  app_encode_app(
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  B,
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  list(B),
13.67/13.90	                                                                  list(B))),
13.67/13.90	                                                                  app_encode_fun(
13.67/13.90	                                                                  B,
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  list(B),
13.67/13.90	                                                                  list(B))),
13.67/13.90	                                                                  aa(
13.67/13.90	                                                                  B,
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  list(B),
13.67/13.90	                                                                  list(B))),
13.67/13.90	                                                                  cons(B)),X)),
13.67/13.90	                                    Xs)) =
13.67/13.90	      app_encode_app(list(B),A,
13.67/13.90	                     app_encode_app(A,app_encode_fun(list(B),A),
13.67/13.90	                                    app_encode_app(fun(A,fun(B,A)),
13.67/13.90	                                                   app_encode_fun(A,
13.67/13.90	                                                                  app_encode_fun(
13.67/13.90	                                                                  list(B),A)),
13.67/13.90	                                                   foldl(A,B),F),
13.67/13.90	                                    app_encode_app(B,A,
13.67/13.90	                                                   app_encode_app(fun(B,A),
13.67/13.90	                                                                  app_encode_fun(
13.67/13.90	                                                                  B,A),
13.67/13.90	                                                                  aa(B,A),
13.67/13.90	                                                                  app_encode_app(
13.67/13.90	                                                                  A,fun(B,A),
13.67/13.90	                                                                  app_encode_app(
13.67/13.90	                                                                  fun(
13.67/13.90	                                                                  A,fun(B,A)),
13.67/13.90	                                                                  app_encode_fun(
13.67/13.90	                                                                  A,fun(B,A)),
13.67/13.90	                                                                  aa(
13.67/13.90	                                                                  A,fun(B,A)),
13.67/13.90	                                                                  F),Aa)),
13.67/13.90	                                                   X)),
13.67/13.90	                     Xs)))).
13.67/13.90	tff('4', plain,
13.67/13.90	    ![X48 : $tType, X49 : $tType, X50 : fun(X49, fun(X48, X49)), X51 : X49, 
13.67/13.90	      X52 : X48, X53 : list(X48)]:
13.67/13.90	      app_encode_app(list(X48), X49, 
13.67/13.90	        app_encode_app(X49, app_encode_fun(list(X48), X49), 
13.67/13.90	          app_encode_app(fun(X49, fun(X48, X49)), 
13.67/13.90	            app_encode_fun(X49, app_encode_fun(list(X48), X49)), 
13.67/13.90	            foldl(X49, X48), X50), X51), 
13.67/13.90	        app_encode_app(list(X48), list(X48), 
13.67/13.90	          app_encode_app(fun(list(X48), list(X48)), 
13.67/13.90	            app_encode_fun(list(X48), list(X48)), aa(list(X48), list(X48)), 
13.67/13.90	            app_encode_app(X48, fun(list(X48), list(X48)), 
13.67/13.90	              app_encode_app(fun(X48, fun(list(X48), list(X48))), 
13.67/13.90	                app_encode_fun(X48, fun(list(X48), list(X48))), 
13.67/13.90	                aa(X48, fun(list(X48), list(X48))), cons(X48)), X52)), X53))
13.67/13.90	       = app_encode_app(list(X48), X49, 
13.67/13.90	           app_encode_app(X49, app_encode_fun(list(X48), X49), 
13.67/13.90	             app_encode_app(fun(X49, fun(X48, X49)), 
13.67/13.90	               app_encode_fun(X49, app_encode_fun(list(X48), X49)), 
13.67/13.90	               foldl(X49, X48), X50), 
13.67/13.90	             app_encode_app(X48, X49, 
13.67/13.90	               app_encode_app(fun(X48, X49), app_encode_fun(X48, X49), 
13.67/13.90	                 aa(X48, X49), 
13.67/13.90	                 app_encode_app(X49, fun(X48, X49), 
13.67/13.90	                   app_encode_app(fun(X49, fun(X48, X49)), 
13.67/13.90	                     app_encode_fun(X49, fun(X48, X49)), 
13.67/13.90	                     aa(X49, fun(X48, X49)), X50), X51)), X52)), X53),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_73])).
13.67/13.90	tff('5', plain,
13.67/13.90	    ![X0 : $tType, X1 : X0, X2 : fun(X0, fun(dB, X0))]:
13.67/13.90	      app_encode_app(list(dB), X0, 
13.67/13.90	        app_encode_app(X0, app_encode_fun(list(dB), X0), 
13.67/13.90	          app_encode_app(fun(X0, fun(dB, X0)), 
13.67/13.90	            app_encode_fun(X0, app_encode_fun(list(dB), X0)), foldl(X0, dB), 
13.67/13.90	            X2), X1), rs)
13.67/13.90	       = app_encode_app(list(dB), X0, 
13.67/13.90	           app_encode_app(X0, app_encode_fun(list(dB), X0), 
13.67/13.90	             app_encode_app(fun(X0, fun(dB, X0)), 
13.67/13.90	               app_encode_fun(X0, app_encode_fun(list(dB), X0)), 
13.67/13.90	               foldl(X0, dB), X2), 
13.67/13.90	             app_encode_app(dB, X0, 
13.67/13.90	               app_encode_app(fun(dB, X0), app_encode_fun(dB, X0), 
13.67/13.90	                 aa(dB, X0), 
13.67/13.90	                 app_encode_app(X0, fun(dB, X0), 
13.67/13.90	                   app_encode_app(fun(X0, fun(dB, X0)), 
13.67/13.90	                     app_encode_fun(X0, fun(dB, X0)), aa(X0, fun(dB, X0)), 
13.67/13.90	                     X2), X1)), a)), as),
13.67/13.90	    inference('sup+', [status(thm)], ['3', '4'])).
13.67/13.90	tff(zf_stmt_55, axiom,
13.67/13.90	  (app_encode_app(bool,$o,pp,
13.67/13.90	                  app_encode_app(type,bool,
13.67/13.90	                                 app_encode_app(fun(type,bool),
13.67/13.90	                                                app_encode_fun(type,bool),
13.67/13.90	                                                aa(type,bool),
13.67/13.90	                                                app_encode_app(dB,
13.67/13.90	                                                               fun(type,bool),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(nat,type),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               fun(type,bool)),
13.67/13.90	                                                               typing,
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               type,
13.67/13.90	                                                               fun(nat,type),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               nat,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               type,
13.67/13.90	                                                               fun(nat,type)),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(nat,type),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               nat,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               type,
13.67/13.90	                                                               fun(nat,type))),
13.67/13.90	                                                               shift(type),e),
13.67/13.90	                                                               i),t1)),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               list(dB),dB,
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               list(dB),dB),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               fun(dB,
13.67/13.90	                                                                   fun(dB,dB)),
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               dB,
13.67/13.90	                                                               app_encode_fun(
13.67/13.90	                                                               list(dB),dB)),
13.67/13.90	                                                               foldl(dB,dB),
13.67/13.90	                                                               app),
13.67/13.90	                                                               app_encode_app(
13.67/13.90	                                                               nat,dB,var,n)),
13.67/13.90	                                                               rs))),
13.67/13.90	                                 t)))).
13.67/13.90	tff('6', plain,
13.67/13.90	    app_encode_app(bool, $o, pp, 
13.67/13.90	      app_encode_app(type, bool, 
13.67/13.90	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
13.67/13.90	          aa(type, bool), 
13.67/13.90	          app_encode_app(dB, fun(type, bool), 
13.67/13.90	            app_encode_app(fun(nat, type), 
13.67/13.90	              app_encode_fun(dB, fun(type, bool)), typing, 
13.67/13.90	              app_encode_app(type, fun(nat, type), 
13.67/13.90	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.67/13.90	                  app_encode_app(fun(nat, type), 
13.67/13.90	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
13.67/13.90	                    shift(type), e), i), t1)), 
13.67/13.90	            app_encode_app(list(dB), dB, 
13.67/13.90	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
13.67/13.90	                app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
13.67/13.90	                  foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
13.67/13.90	        t)),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_55])).
13.67/13.90	tff('7', plain,
13.67/13.90	    app_encode_app(bool, $o, pp, 
13.67/13.90	      app_encode_app(type, bool, 
13.67/13.90	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
13.67/13.90	          aa(type, bool), 
13.67/13.90	          app_encode_app(dB, fun(type, bool), 
13.67/13.90	            app_encode_app(fun(nat, type), 
13.67/13.90	              app_encode_fun(dB, fun(type, bool)), typing, 
13.67/13.90	              app_encode_app(type, fun(nat, type), 
13.67/13.90	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.67/13.90	                  app_encode_app(fun(nat, type), 
13.67/13.90	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
13.67/13.90	                    shift(type), e), n), t1)), 
13.67/13.90	            app_encode_app(list(dB), dB, 
13.67/13.90	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
13.67/13.90	                app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
13.67/13.90	                  foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
13.67/13.90	        t)),
13.67/13.90	    inference('demod', [status(thm)], ['6', '1'])).
13.67/13.90	tff(zf_stmt_160, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
13.67/13.90	tff('8', plain, ![X410 : bool]: (X410 = fTrue | X410 = fFalse),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_160])).
13.67/13.90	tff(zf_stmt_151, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
13.67/13.90	tff('9', plain, ~ app_encode_app(bool, $o, pp, fFalse),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_151])).
13.67/13.90	tff('10', plain,
13.67/13.90	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
13.67/13.90	    inference('sup-', [status(thm)], ['8', '9'])).
13.67/13.90	tff('11', plain,
13.67/13.90	    (~ $true
13.67/13.90	     | app_encode_app(type, bool, 
13.67/13.90	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
13.67/13.90	           aa(type, bool), 
13.67/13.90	           app_encode_app(dB, fun(type, bool), 
13.67/13.90	             app_encode_app(fun(nat, type), 
13.67/13.90	               app_encode_fun(dB, fun(type, bool)), typing, 
13.67/13.90	               app_encode_app(type, fun(nat, type), 
13.67/13.90	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.67/13.90	                   app_encode_app(fun(nat, type), 
13.67/13.90	                     app_encode_fun(nat, 
13.67/13.90	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
13.67/13.90	                   n), t1)), 
13.67/13.90	             app_encode_app(list(dB), dB, 
13.67/13.90	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
13.67/13.90	                 app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
13.67/13.90	                   foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
13.67/13.90	         t)
13.67/13.90	        = fTrue),
13.67/13.90	    inference('sup-', [status(thm)], ['7', '10'])).
13.67/13.90	tff('12', plain,
13.67/13.90	    app_encode_app(type, bool, 
13.67/13.90	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
13.67/13.90	        aa(type, bool), 
13.67/13.90	        app_encode_app(dB, fun(type, bool), 
13.67/13.90	          app_encode_app(fun(nat, type), 
13.67/13.90	            app_encode_fun(dB, fun(type, bool)), typing, 
13.67/13.90	            app_encode_app(type, fun(nat, type), 
13.67/13.90	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.67/13.90	                app_encode_app(fun(nat, type), 
13.67/13.90	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
13.67/13.90	                  shift(type), e), n), t1)), 
13.67/13.90	          app_encode_app(list(dB), dB, 
13.67/13.90	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
13.67/13.90	              app_encode_app(fun(dB, fun(dB, dB)), 
13.67/13.90	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
13.67/13.90	                foldl(dB, dB), app), app_encode_app(nat, dB, var, n)), rs))), 
13.67/13.90	      t)
13.67/13.90	     = fTrue,
13.67/13.90	    inference('simplify', [status(thm)], ['11'])).
13.67/13.90	tff(zf_stmt_152, axiom, (app_encode_app(bool,$o,pp,fTrue))).
13.67/13.90	tff('13', plain, app_encode_app(bool, $o, pp, fTrue),
13.67/13.90	    inference('cnf', [status(esa)], [zf_stmt_152])).
13.67/13.90	tff('14', plain, ~ $true,
13.67/13.90	    inference('demod', [status(thm)], ['2', '5', '12', '13'])).
13.67/13.90	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
13.67/13.90	
13.67/13.90	% SZS output end Refutation
13.67/13.90	EOF
