0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n173.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:03:39 CST 2018
53.71/53.93	% done 3375 iterations in 53.714s
53.71/53.93	% SZS status Theorem for 'stdin'
53.71/53.93	% SZS output start Refutation
53.71/53.93	tff(zf_stmt_63, axiom,
53.71/53.93	  (app_encode_app(bool,$o,pp,
53.71/53.93	                  app_encode_app(list(type),bool,
53.71/53.93	                                 app_encode_app(fun(list(type),bool),
53.71/53.93	                                                app_encode_fun(list(type),
53.71/53.93	                                                               bool),
53.71/53.93	                                                aa(list(type),bool),
53.71/53.93	                                                app_encode_app(list(dB),
53.71/53.93	                                                               fun(list(type),
53.71/53.93	                                                                   bool),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               fun(nat,type),
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               list(dB),
53.71/53.93	                                                               fun(list(type),
53.71/53.93	                                                                   bool)),
53.71/53.93	                                                               typings,
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               type,
53.71/53.93	                                                               fun(nat,type),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               nat,
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               type,
53.71/53.93	                                                               fun(nat,type)),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               fun(nat,type),
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               nat,
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               type,
53.71/53.93	                                                               fun(nat,type))),
53.71/53.93	                                                               shift(type),e),
53.71/53.93	                                                               i),t)),as)),
53.71/53.93	                                 ts)))).
53.71/53.93	tff('0', plain,
53.71/53.93	    app_encode_app(bool, $o, pp, 
53.71/53.93	      app_encode_app(list(type), bool, 
53.71/53.93	        app_encode_app(fun(list(type), bool), 
53.71/53.93	          app_encode_fun(list(type), bool), aa(list(type), bool), 
53.71/53.93	          app_encode_app(list(dB), fun(list(type), bool), 
53.71/53.93	            app_encode_app(fun(nat, type), 
53.71/53.93	              app_encode_fun(list(dB), fun(list(type), bool)), typings, 
53.71/53.93	              app_encode_app(type, fun(nat, type), 
53.71/53.93	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
53.71/53.93	                  app_encode_app(fun(nat, type), 
53.71/53.93	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
53.71/53.93	                    shift(type), e), i), t)), as)), ts)),
53.71/53.93	    inference('cnf', [status(esa)], [zf_stmt_63])).
53.71/53.93	tff(zf_stmt_68, axiom,
53.71/53.93	  (![Tsa:list(type),Ts:list(dB),Eb:fun(nat,type)]:
53.71/53.93	     (app_encode_app(bool,$o,pp,
53.71/53.93	                     app_encode_app(list(type),bool,
53.71/53.93	                                    app_encode_app(fun(list(type),bool),
53.71/53.93	                                                   app_encode_fun(list(type),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                   aa(list(type),bool),
53.71/53.93	                                                   app_encode_app(list(dB),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  list(type),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                                  app_encode_app(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  nat,type),
53.71/53.93	                                                                  app_encode_fun(
53.71/53.93	                                                                  list(dB),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  list(type),
53.71/53.93	                                                                  bool)),
53.71/53.93	                                                                  typings,Eb),
53.71/53.93	                                                                  Ts)),
53.71/53.93	                                    Tsa)) =>
53.71/53.93	      app_encode_app(list(dB),$o,
53.71/53.93	                     app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
53.71/53.93	                                    listsp(dB),
53.71/53.93	                                    app_encode_app(fun(dB,fun(type,bool)),
53.71/53.93	                                                   fun(dB,bool),
53.71/53.93	                                                   app_encode_app(fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool)),
53.71/53.93	                                                                  app_encode_fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool)),
53.71/53.93	                                                                  aa(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool)),
53.71/53.93	                                                                  app_encode_app(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool)),
53.71/53.93	                                                                  app_encode_app(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool))),
53.71/53.93	                                                                  app_encode_fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool))),
53.71/53.93	                                                                  aa(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool))),
53.71/53.93	                                                                  combb(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool),
53.71/53.93	                                                                  bool,dB)),
53.71/53.93	                                                                  fEx(type))),
53.71/53.93	                                                   app_encode_app(fun(
53.71/53.93	                                                                  nat,type),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  typing,Eb))),
53.71/53.93	                     Ts)))).
53.71/53.93	tff('1', plain,
53.71/53.93	    ![X9 : fun(nat, type), X10 : list(dB), X11 : list(type)]:
53.71/53.93	      (app_encode_app(list(dB), $o, 
53.71/53.93	         app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
53.71/53.93	           listsp(dB), 
53.71/53.93	           app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
53.71/53.93	             app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	               app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	               aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	               app_encode_app(fun(fun(type, bool), bool), 
53.71/53.93	                 fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	                 app_encode_app(
53.71/53.93	                   fun(fun(fun(type, bool), bool), 
53.71/53.93	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                   app_encode_fun(fun(fun(type, bool), bool), 
53.71/53.93	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                   aa(fun(fun(type, bool), bool), 
53.71/53.93	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                   combb(fun(type, bool), bool, dB)), fEx(type))), 
53.71/53.93	             app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
53.71/53.93	               typing, X9))), X10)
53.71/53.93	       | ~ app_encode_app(bool, $o, pp, 
53.71/53.93	             app_encode_app(list(type), bool, 
53.71/53.93	               app_encode_app(fun(list(type), bool), 
53.71/53.93	                 app_encode_fun(list(type), bool), aa(list(type), bool), 
53.71/53.93	                 app_encode_app(list(dB), fun(list(type), bool), 
53.71/53.93	                   app_encode_app(fun(nat, type), 
53.71/53.93	                     app_encode_fun(list(dB), fun(list(type), bool)), 
53.71/53.93	                     typings, X9), X10)), X11))),
53.71/53.93	    inference('cnf', [status(esa)], [zf_stmt_68])).
53.71/53.93	tff('2', plain,
53.71/53.93	    (~ $true
53.71/53.93	     | app_encode_app(list(dB), $o, 
53.71/53.93	         app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
53.71/53.93	           listsp(dB), 
53.71/53.93	           app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
53.71/53.93	             app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	               app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	               aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	               app_encode_app(fun(fun(type, bool), bool), 
53.71/53.93	                 fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	                 app_encode_app(
53.71/53.93	                   fun(fun(fun(type, bool), bool), 
53.71/53.93	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                   app_encode_fun(fun(fun(type, bool), bool), 
53.71/53.93	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                   aa(fun(fun(type, bool), bool), 
53.71/53.93	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                   combb(fun(type, bool), bool, dB)), fEx(type))), 
53.71/53.93	             app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
53.71/53.93	               typing, 
53.71/53.93	               app_encode_app(type, fun(nat, type), 
53.71/53.93	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
53.71/53.93	                   app_encode_app(fun(nat, type), 
53.71/53.93	                     app_encode_fun(nat, 
53.71/53.93	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
53.71/53.93	                   i), t)))), as)),
53.71/53.93	    inference('sup-', [status(thm)], ['0', '1'])).
53.71/53.93	tff('3', plain,
53.71/53.93	    app_encode_app(list(dB), $o, 
53.71/53.93	      app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
53.71/53.93	        listsp(dB), 
53.71/53.93	        app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
53.71/53.93	          app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	            app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	            aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	            app_encode_app(fun(fun(type, bool), bool), 
53.71/53.93	              fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	              app_encode_app(
53.71/53.93	                fun(fun(fun(type, bool), bool), 
53.71/53.93	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                app_encode_fun(fun(fun(type, bool), bool), 
53.71/53.93	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                aa(fun(fun(type, bool), bool), 
53.71/53.93	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                combb(fun(type, bool), bool, dB)), fEx(type))), 
53.71/53.93	          app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
53.71/53.93	            app_encode_app(type, fun(nat, type), 
53.71/53.93	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
53.71/53.93	                app_encode_app(fun(nat, type), 
53.71/53.93	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
53.71/53.93	                  shift(type), e), i), t)))), as),
53.71/53.93	    inference('simplify', [status(thm)], ['2'])).
53.71/53.93	tff(zf_stmt_165, axiom,
53.71/53.93	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
53.71/53.93	     (app_encode_app(A,C,
53.71/53.93	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
53.71/53.93	                                    app_encode_app(B,fun(A,C),
53.71/53.93	                                                   app_encode_app(fun(
53.71/53.93	                                                                  A,fun(B,C)),
53.71/53.93	                                                                  app_encode_fun(
53.71/53.93	                                                                  B,fun(A,C)),
53.71/53.93	                                                                  combc(
53.71/53.93	                                                                  A,B,C),P),
53.71/53.93	                                                   Q)),
53.71/53.93	                     R) =
53.71/53.93	      app_encode_app(B,C,
53.71/53.93	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
53.71/53.93	                                    app_encode_app(A,fun(B,C),
53.71/53.93	                                                   app_encode_app(fun(
53.71/53.93	                                                                  A,fun(B,C)),
53.71/53.93	                                                                  app_encode_fun(
53.71/53.93	                                                                  A,fun(B,C)),
53.71/53.93	                                                                  aa(
53.71/53.93	                                                                  A,fun(B,C)),
53.71/53.93	                                                                  P),
53.71/53.93	                                                   R)),
53.71/53.93	                     Q)))).
53.71/53.93	tff('4', plain,
53.71/53.93	    ![X335 : $tType, X336 : $tType, X337 : $tType, 
53.71/53.93	      X338 : fun(X337, fun(X335, X336)), X339 : X337, X340 : X335]:
53.71/53.93	      app_encode_app(X337, X336, 
53.71/53.93	        app_encode_app(fun(X337, X336), app_encode_fun(X337, X336), 
53.71/53.93	          aa(X337, X336), 
53.71/53.93	          app_encode_app(X335, fun(X337, X336), 
53.71/53.93	            app_encode_app(fun(X337, fun(X335, X336)), 
53.71/53.93	              app_encode_fun(X335, fun(X337, X336)), 
53.71/53.93	              combc(X337, X335, X336), X338), X340)), X339)
53.71/53.93	       = app_encode_app(X335, X336, 
53.71/53.93	           app_encode_app(fun(X335, X336), app_encode_fun(X335, X336), 
53.71/53.93	             aa(X335, X336), 
53.71/53.93	             app_encode_app(X337, fun(X335, X336), 
53.71/53.93	               app_encode_app(fun(X337, fun(X335, X336)), 
53.71/53.93	                 app_encode_fun(X337, fun(X335, X336)), 
53.71/53.93	                 aa(X337, fun(X335, X336)), X338), X339)), X340),
53.71/53.93	    inference('cnf', [status(esa)], [zf_stmt_165])).
53.71/53.93	tff('5', plain,
53.71/53.93	    app_encode_app(list(dB), $o, 
53.71/53.93	      app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
53.71/53.93	        listsp(dB), 
53.71/53.93	        app_encode_app(fun(fun(type, bool), bool), fun(dB, bool), 
53.71/53.93	          app_encode_app(fun(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	            app_encode_fun(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	            aa(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	            app_encode_app(fun(dB, fun(type, bool)), 
53.71/53.93	              fun(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	              app_encode_app(
53.71/53.93	                fun(fun(fun(type, bool), bool), 
53.71/53.93	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                app_encode_fun(fun(dB, fun(type, bool)), 
53.71/53.93	                  fun(fun(fun(type, bool), bool), fun(dB, bool))), 
53.71/53.93	                combc(fun(fun(type, bool), bool), fun(dB, fun(type, bool)), 
53.71/53.93	                  fun(dB, bool)), combb(fun(type, bool), bool, dB)), 
53.71/53.93	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
53.71/53.93	                typing, 
53.71/53.93	                app_encode_app(type, fun(nat, type), 
53.71/53.93	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
53.71/53.93	                    app_encode_app(fun(nat, type), 
53.71/53.93	                      app_encode_fun(nat, 
53.71/53.93	                        app_encode_fun(type, fun(nat, type))), shift(type), 
53.71/53.93	                      e), i), t)))), fEx(type))), as),
53.71/53.93	    inference('demod', [status(thm)], ['3', '4'])).
53.71/53.93	tff(zf_stmt_174, conjecture,
53.71/53.93	  (app_encode_app(list(dB),$o,
53.71/53.93	                  app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
53.71/53.93	                                 listsp(dB),
53.71/53.93	                                 app_encode_app(fun(dB,fun(type,bool)),
53.71/53.93	                                                fun(dB,bool),
53.71/53.93	                                                app_encode_app(fun(fun(
53.71/53.93	                                                                   dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,bool)),
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               fun(dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                               fun(dB,bool)),
53.71/53.93	                                                               aa(fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool)),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               fun(fun(
53.71/53.93	                                                                   type,bool),
53.71/53.93	                                                                   bool),
53.71/53.93	                                                               fun(fun(
53.71/53.93	                                                                   dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,bool)),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               fun(fun(
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool),
53.71/53.93	                                                                   bool),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,bool))),
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               fun(fun(
53.71/53.93	                                                                   type,bool),
53.71/53.93	                                                                   bool),
53.71/53.93	                                                               fun(fun(
53.71/53.93	                                                                   dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,bool))),
53.71/53.93	                                                               aa(fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool),
53.71/53.93	                                                                  bool),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  type,bool)),
53.71/53.93	                                                                  fun(
53.71/53.93	                                                                  dB,bool))),
53.71/53.93	                                                               combb(
53.71/53.93	                                                               fun(type,bool),
53.71/53.93	                                                               bool,dB)),
53.71/53.93	                                                               fEx(type))),
53.71/53.93	                                                app_encode_app(fun(nat,type),
53.71/53.93	                                                               fun(dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                               typing,
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               type,
53.71/53.93	                                                               fun(nat,type),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               nat,
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               type,
53.71/53.93	                                                               fun(nat,type)),
53.71/53.93	                                                               app_encode_app(
53.71/53.93	                                                               fun(nat,type),
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               nat,
53.71/53.93	                                                               app_encode_fun(
53.71/53.93	                                                               type,
53.71/53.93	                                                               fun(nat,type))),
53.71/53.93	                                                               shift(type),e),
53.71/53.93	                                                               i),t)))),
53.71/53.93	                  as))).
53.71/53.93	tff(zf_stmt_0, negated_conjecture,
53.71/53.93	  (~
53.71/53.93	    app_encode_app(list(dB),$o,
53.71/53.93	                   app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
53.71/53.93	                                  listsp(dB),
53.71/53.93	                                  app_encode_app(fun(dB,fun(type,bool)),
53.71/53.93	                                                 fun(dB,bool),
53.71/53.93	                                                 app_encode_app(fun(fun(
53.71/53.93	                                                                    dB,
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool)),
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    dB,bool)),
53.71/53.93	                                                                app_encode_fun(
53.71/53.93	                                                                fun(dB,
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool)),
53.71/53.93	                                                                fun(dB,bool)),
53.71/53.93	                                                                aa(fun(
53.71/53.93	                                                                   dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,bool)),
53.71/53.93	                                                                app_encode_app(
53.71/53.93	                                                                fun(fun(
53.71/53.93	                                                                    type,bool),
53.71/53.93	                                                                    bool),
53.71/53.93	                                                                fun(fun(
53.71/53.93	                                                                    dB,
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool)),
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    dB,bool)),
53.71/53.93	                                                                app_encode_app(
53.71/53.93	                                                                fun(fun(
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool),
53.71/53.93	                                                                    bool),
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    dB,
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool)),
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    dB,bool))),
53.71/53.93	                                                                app_encode_fun(
53.71/53.93	                                                                fun(fun(
53.71/53.93	                                                                    type,bool),
53.71/53.93	                                                                    bool),
53.71/53.93	                                                                fun(fun(
53.71/53.93	                                                                    dB,
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool)),
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    dB,bool))),
53.71/53.93	                                                                aa(fun(
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool),
53.71/53.93	                                                                   bool),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   type,bool)),
53.71/53.93	                                                                   fun(
53.71/53.93	                                                                   dB,bool))),
53.71/53.93	                                                                combb(
53.71/53.93	                                                                fun(type,bool),
53.71/53.93	                                                                bool,dB)),
53.71/53.93	                                                                fEx(type))),
53.71/53.93	                                                 app_encode_app(fun(nat,type),
53.71/53.93	                                                                fun(dB,
53.71/53.93	                                                                    fun(
53.71/53.93	                                                                    type,bool)),
53.71/53.93	                                                                typing,
53.71/53.93	                                                                app_encode_app(
53.71/53.93	                                                                type,
53.71/53.93	                                                                fun(nat,type),
53.71/53.93	                                                                app_encode_app(
53.71/53.93	                                                                nat,
53.71/53.93	                                                                app_encode_fun(
53.71/53.93	                                                                type,
53.71/53.93	                                                                fun(nat,type)),
53.71/53.93	                                                                app_encode_app(
53.71/53.93	                                                                fun(nat,type),
53.71/53.93	                                                                app_encode_fun(
53.71/53.93	                                                                nat,
53.71/53.93	                                                                app_encode_fun(
53.71/53.93	                                                                type,
53.71/53.93	                                                                fun(nat,type))),
53.71/53.93	                                                                shift(type),e),
53.71/53.93	                                                                i),t)))),
53.71/53.93	                   as))).
53.71/53.93	tff('6', plain,
53.71/53.93	    ~ app_encode_app(list(dB), $o, 
53.71/53.93	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
53.71/53.93	          listsp(dB), 
53.71/53.93	          app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
53.71/53.93	            app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	              app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	              aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	              app_encode_app(fun(fun(type, bool), bool), 
53.71/53.93	                fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	                app_encode_app(
53.71/53.93	                  fun(fun(fun(type, bool), bool), 
53.71/53.93	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                  app_encode_fun(fun(fun(type, bool), bool), 
53.71/53.93	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                  aa(fun(fun(type, bool), bool), 
53.71/53.93	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                  combb(fun(type, bool), bool, dB)), fEx(type))), 
53.71/53.93	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
53.71/53.93	              app_encode_app(type, fun(nat, type), 
53.71/53.93	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
53.71/53.93	                  app_encode_app(fun(nat, type), 
53.71/53.93	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
53.71/53.93	                    shift(type), e), i), t)))), as),
53.71/53.93	    inference('cnf', [status(esa)], [zf_stmt_0])).
53.71/53.93	tff('7', plain,
53.71/53.93	    ~ app_encode_app(list(dB), $o, 
53.71/53.93	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
53.71/53.93	          listsp(dB), 
53.71/53.93	          app_encode_app(fun(fun(type, bool), bool), fun(dB, bool), 
53.71/53.93	            app_encode_app(fun(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	              app_encode_fun(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	              aa(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	              app_encode_app(fun(dB, fun(type, bool)), 
53.71/53.93	                fun(fun(fun(type, bool), bool), fun(dB, bool)), 
53.71/53.93	                app_encode_app(
53.71/53.93	                  fun(fun(fun(type, bool), bool), 
53.71/53.93	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
53.71/53.93	                  app_encode_fun(fun(dB, fun(type, bool)), 
53.71/53.93	                    fun(fun(fun(type, bool), bool), fun(dB, bool))), 
53.71/53.93	                  combc(fun(fun(type, bool), bool), 
53.71/53.93	                    fun(dB, fun(type, bool)), fun(dB, bool)), 
53.71/53.93	                  combb(fun(type, bool), bool, dB)), 
53.71/53.93	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
53.71/53.93	                  typing, 
53.71/53.93	                  app_encode_app(type, fun(nat, type), 
53.71/53.93	                    app_encode_app(nat, 
53.71/53.93	                      app_encode_fun(type, fun(nat, type)), 
53.71/53.93	                      app_encode_app(fun(nat, type), 
53.71/53.93	                        app_encode_fun(nat, 
53.71/53.93	                          app_encode_fun(type, fun(nat, type))), 
53.71/53.93	                        shift(type), e), i), t)))), fEx(type))), as),
53.71/53.93	    inference('demod', [status(thm)], ['6', '4'])).
53.71/53.93	tff('8', plain, ~ $true, inference('sup-', [status(thm)], ['5', '7'])).
53.71/53.93	tff('9', plain, $false, inference('simplify', [status(thm)], ['8'])).
53.71/53.93	
53.71/53.93	% SZS output end Refutation
53.71/53.93	EOF
