0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n071.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:03:39 CST 2018
44.23/44.39	% done 2967 iterations in 44.188s
44.23/44.39	% SZS status Theorem for 'stdin'
44.23/44.39	% SZS output start Refutation
44.23/44.40	tff(zf_stmt_62, axiom,
44.23/44.40	  (app_encode_app(bool,$o,pp,
44.23/44.40	                  app_encode_app(list(type),bool,
44.23/44.40	                                 app_encode_app(fun(list(type),bool),
44.23/44.40	                                                app_encode_fun(list(type),
44.23/44.40	                                                               bool),
44.23/44.40	                                                aa(list(type),bool),
44.23/44.40	                                                app_encode_app(list(dB),
44.23/44.40	                                                               fun(list(type),
44.23/44.40	                                                                   bool),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               fun(nat,type),
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               list(dB),
44.23/44.40	                                                               fun(list(type),
44.23/44.40	                                                                   bool)),
44.23/44.40	                                                               typings,
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               type,
44.23/44.40	                                                               fun(nat,type),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               nat,
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               type,
44.23/44.40	                                                               fun(nat,type)),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               fun(nat,type),
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               nat,
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               type,
44.23/44.40	                                                               fun(nat,type))),
44.23/44.40	                                                               shift(type),e),
44.23/44.40	                                                               i),t)),as)),
44.23/44.40	                                 ts)))).
44.23/44.40	tff('0', plain,
44.23/44.40	    app_encode_app(bool, $o, pp, 
44.23/44.40	      app_encode_app(list(type), bool, 
44.23/44.40	        app_encode_app(fun(list(type), bool), 
44.23/44.40	          app_encode_fun(list(type), bool), aa(list(type), bool), 
44.23/44.40	          app_encode_app(list(dB), fun(list(type), bool), 
44.23/44.40	            app_encode_app(fun(nat, type), 
44.23/44.40	              app_encode_fun(list(dB), fun(list(type), bool)), typings, 
44.23/44.40	              app_encode_app(type, fun(nat, type), 
44.23/44.40	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
44.23/44.40	                  app_encode_app(fun(nat, type), 
44.23/44.40	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
44.23/44.40	                    shift(type), e), i), t)), as)), ts)),
44.23/44.40	    inference('cnf', [status(esa)], [zf_stmt_62])).
44.23/44.40	tff(zf_stmt_67, axiom,
44.23/44.40	  (![Tsa:list(type),Ts:list(dB),Eb:fun(nat,type)]:
44.23/44.40	     (app_encode_app(bool,$o,pp,
44.23/44.40	                     app_encode_app(list(type),bool,
44.23/44.40	                                    app_encode_app(fun(list(type),bool),
44.23/44.40	                                                   app_encode_fun(list(type),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                   aa(list(type),bool),
44.23/44.40	                                                   app_encode_app(list(dB),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  list(type),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                                  app_encode_app(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  nat,type),
44.23/44.40	                                                                  app_encode_fun(
44.23/44.40	                                                                  list(dB),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  list(type),
44.23/44.40	                                                                  bool)),
44.23/44.40	                                                                  typings,Eb),
44.23/44.40	                                                                  Ts)),
44.23/44.40	                                    Tsa)) =>
44.23/44.40	      app_encode_app(list(dB),$o,
44.23/44.40	                     app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
44.23/44.40	                                    listsp(dB),
44.23/44.40	                                    app_encode_app(fun(dB,fun(type,bool)),
44.23/44.40	                                                   fun(dB,bool),
44.23/44.40	                                                   app_encode_app(fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool)),
44.23/44.40	                                                                  app_encode_fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool)),
44.23/44.40	                                                                  aa(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool)),
44.23/44.40	                                                                  app_encode_app(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool)),
44.23/44.40	                                                                  app_encode_app(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool))),
44.23/44.40	                                                                  app_encode_fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool))),
44.23/44.40	                                                                  aa(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool))),
44.23/44.40	                                                                  combb(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool),
44.23/44.40	                                                                  bool,dB)),
44.23/44.40	                                                                  fEx(type))),
44.23/44.40	                                                   app_encode_app(fun(
44.23/44.40	                                                                  nat,type),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  typing,Eb))),
44.23/44.40	                     Ts)))).
44.23/44.40	tff('1', plain,
44.23/44.40	    ![X5 : fun(nat, type), X6 : list(dB), X7 : list(type)]:
44.23/44.40	      (app_encode_app(list(dB), $o, 
44.23/44.40	         app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
44.23/44.40	           listsp(dB), 
44.23/44.40	           app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
44.23/44.40	             app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	               app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	               aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	               app_encode_app(fun(fun(type, bool), bool), 
44.23/44.40	                 fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	                 app_encode_app(
44.23/44.40	                   fun(fun(fun(type, bool), bool), 
44.23/44.40	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                   app_encode_fun(fun(fun(type, bool), bool), 
44.23/44.40	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                   aa(fun(fun(type, bool), bool), 
44.23/44.40	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                   combb(fun(type, bool), bool, dB)), fEx(type))), 
44.23/44.40	             app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
44.23/44.40	               typing, X5))), X6)
44.23/44.40	       | ~ app_encode_app(bool, $o, pp, 
44.23/44.40	             app_encode_app(list(type), bool, 
44.23/44.40	               app_encode_app(fun(list(type), bool), 
44.23/44.40	                 app_encode_fun(list(type), bool), aa(list(type), bool), 
44.23/44.40	                 app_encode_app(list(dB), fun(list(type), bool), 
44.23/44.40	                   app_encode_app(fun(nat, type), 
44.23/44.40	                     app_encode_fun(list(dB), fun(list(type), bool)), 
44.23/44.40	                     typings, X5), X6)), X7))),
44.23/44.40	    inference('cnf', [status(esa)], [zf_stmt_67])).
44.23/44.40	tff('2', plain,
44.23/44.40	    (~ $true
44.23/44.40	     | app_encode_app(list(dB), $o, 
44.23/44.40	         app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
44.23/44.40	           listsp(dB), 
44.23/44.40	           app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
44.23/44.40	             app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	               app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	               aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	               app_encode_app(fun(fun(type, bool), bool), 
44.23/44.40	                 fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	                 app_encode_app(
44.23/44.40	                   fun(fun(fun(type, bool), bool), 
44.23/44.40	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                   app_encode_fun(fun(fun(type, bool), bool), 
44.23/44.40	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                   aa(fun(fun(type, bool), bool), 
44.23/44.40	                     fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                   combb(fun(type, bool), bool, dB)), fEx(type))), 
44.23/44.40	             app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
44.23/44.40	               typing, 
44.23/44.40	               app_encode_app(type, fun(nat, type), 
44.23/44.40	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
44.23/44.40	                   app_encode_app(fun(nat, type), 
44.23/44.40	                     app_encode_fun(nat, 
44.23/44.40	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
44.23/44.40	                   i), t)))), as)),
44.23/44.40	    inference('sup-', [status(thm)], ['0', '1'])).
44.23/44.40	tff('3', plain,
44.23/44.40	    app_encode_app(list(dB), $o, 
44.23/44.40	      app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
44.23/44.40	        listsp(dB), 
44.23/44.40	        app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
44.23/44.40	          app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	            app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	            aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	            app_encode_app(fun(fun(type, bool), bool), 
44.23/44.40	              fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	              app_encode_app(
44.23/44.40	                fun(fun(fun(type, bool), bool), 
44.23/44.40	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                app_encode_fun(fun(fun(type, bool), bool), 
44.23/44.40	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                aa(fun(fun(type, bool), bool), 
44.23/44.40	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                combb(fun(type, bool), bool, dB)), fEx(type))), 
44.23/44.40	          app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
44.23/44.40	            app_encode_app(type, fun(nat, type), 
44.23/44.40	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
44.23/44.40	                app_encode_app(fun(nat, type), 
44.23/44.40	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
44.23/44.40	                  shift(type), e), i), t)))), as),
44.23/44.40	    inference('simplify', [status(thm)], ['2'])).
44.23/44.40	tff(zf_stmt_164, axiom,
44.23/44.40	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
44.23/44.40	     (app_encode_app(A,C,
44.23/44.40	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
44.23/44.40	                                    app_encode_app(B,fun(A,C),
44.23/44.40	                                                   app_encode_app(fun(
44.23/44.40	                                                                  A,fun(B,C)),
44.23/44.40	                                                                  app_encode_fun(
44.23/44.40	                                                                  B,fun(A,C)),
44.23/44.40	                                                                  combc(
44.23/44.40	                                                                  A,B,C),P),
44.23/44.40	                                                   Q)),
44.23/44.40	                     R) =
44.23/44.40	      app_encode_app(B,C,
44.23/44.40	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
44.23/44.40	                                    app_encode_app(A,fun(B,C),
44.23/44.40	                                                   app_encode_app(fun(
44.23/44.40	                                                                  A,fun(B,C)),
44.23/44.40	                                                                  app_encode_fun(
44.23/44.40	                                                                  A,fun(B,C)),
44.23/44.40	                                                                  aa(
44.23/44.40	                                                                  A,fun(B,C)),
44.23/44.40	                                                                  P),
44.23/44.40	                                                   R)),
44.23/44.40	                     Q)))).
44.23/44.40	tff('4', plain,
44.23/44.40	    ![X331 : $tType, X332 : $tType, X333 : $tType, 
44.23/44.40	      X334 : fun(X333, fun(X331, X332)), X335 : X333, X336 : X331]:
44.23/44.40	      app_encode_app(X333, X332, 
44.23/44.40	        app_encode_app(fun(X333, X332), app_encode_fun(X333, X332), 
44.23/44.40	          aa(X333, X332), 
44.23/44.40	          app_encode_app(X331, fun(X333, X332), 
44.23/44.40	            app_encode_app(fun(X333, fun(X331, X332)), 
44.23/44.40	              app_encode_fun(X331, fun(X333, X332)), 
44.23/44.40	              combc(X333, X331, X332), X334), X336)), X335)
44.23/44.40	       = app_encode_app(X331, X332, 
44.23/44.40	           app_encode_app(fun(X331, X332), app_encode_fun(X331, X332), 
44.23/44.40	             aa(X331, X332), 
44.23/44.40	             app_encode_app(X333, fun(X331, X332), 
44.23/44.40	               app_encode_app(fun(X333, fun(X331, X332)), 
44.23/44.40	                 app_encode_fun(X333, fun(X331, X332)), 
44.23/44.40	                 aa(X333, fun(X331, X332)), X334), X335)), X336),
44.23/44.40	    inference('cnf', [status(esa)], [zf_stmt_164])).
44.23/44.40	tff('5', plain,
44.23/44.40	    app_encode_app(list(dB), $o, 
44.23/44.40	      app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
44.23/44.40	        listsp(dB), 
44.23/44.40	        app_encode_app(fun(fun(type, bool), bool), fun(dB, bool), 
44.23/44.40	          app_encode_app(fun(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	            app_encode_fun(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	            aa(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	            app_encode_app(fun(dB, fun(type, bool)), 
44.23/44.40	              fun(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	              app_encode_app(
44.23/44.40	                fun(fun(fun(type, bool), bool), 
44.23/44.40	                  fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                app_encode_fun(fun(dB, fun(type, bool)), 
44.23/44.40	                  fun(fun(fun(type, bool), bool), fun(dB, bool))), 
44.23/44.40	                combc(fun(fun(type, bool), bool), fun(dB, fun(type, bool)), 
44.23/44.40	                  fun(dB, bool)), combb(fun(type, bool), bool, dB)), 
44.23/44.40	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
44.23/44.40	                typing, 
44.23/44.40	                app_encode_app(type, fun(nat, type), 
44.23/44.40	                  app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
44.23/44.40	                    app_encode_app(fun(nat, type), 
44.23/44.40	                      app_encode_fun(nat, 
44.23/44.40	                        app_encode_fun(type, fun(nat, type))), shift(type), 
44.23/44.40	                      e), i), t)))), fEx(type))), as),
44.23/44.40	    inference('demod', [status(thm)], ['3', '4'])).
44.23/44.40	tff(zf_stmt_173, conjecture,
44.23/44.40	  (app_encode_app(list(dB),$o,
44.23/44.40	                  app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
44.23/44.40	                                 listsp(dB),
44.23/44.40	                                 app_encode_app(fun(dB,fun(type,bool)),
44.23/44.40	                                                fun(dB,bool),
44.23/44.40	                                                app_encode_app(fun(fun(
44.23/44.40	                                                                   dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,bool)),
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               fun(dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                               fun(dB,bool)),
44.23/44.40	                                                               aa(fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool)),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               fun(fun(
44.23/44.40	                                                                   type,bool),
44.23/44.40	                                                                   bool),
44.23/44.40	                                                               fun(fun(
44.23/44.40	                                                                   dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,bool)),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               fun(fun(
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool),
44.23/44.40	                                                                   bool),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,bool))),
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               fun(fun(
44.23/44.40	                                                                   type,bool),
44.23/44.40	                                                                   bool),
44.23/44.40	                                                               fun(fun(
44.23/44.40	                                                                   dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,bool))),
44.23/44.40	                                                               aa(fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool),
44.23/44.40	                                                                  bool),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  type,bool)),
44.23/44.40	                                                                  fun(
44.23/44.40	                                                                  dB,bool))),
44.23/44.40	                                                               combb(
44.23/44.40	                                                               fun(type,bool),
44.23/44.40	                                                               bool,dB)),
44.23/44.40	                                                               fEx(type))),
44.23/44.40	                                                app_encode_app(fun(nat,type),
44.23/44.40	                                                               fun(dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                               typing,
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               type,
44.23/44.40	                                                               fun(nat,type),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               nat,
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               type,
44.23/44.40	                                                               fun(nat,type)),
44.23/44.40	                                                               app_encode_app(
44.23/44.40	                                                               fun(nat,type),
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               nat,
44.23/44.40	                                                               app_encode_fun(
44.23/44.40	                                                               type,
44.23/44.40	                                                               fun(nat,type))),
44.23/44.40	                                                               shift(type),e),
44.23/44.40	                                                               i),t)))),
44.23/44.40	                  as))).
44.23/44.40	tff(zf_stmt_0, negated_conjecture,
44.23/44.40	  (~
44.23/44.40	    app_encode_app(list(dB),$o,
44.23/44.40	                   app_encode_app(fun(dB,bool),app_encode_fun(list(dB),$o),
44.23/44.40	                                  listsp(dB),
44.23/44.40	                                  app_encode_app(fun(dB,fun(type,bool)),
44.23/44.40	                                                 fun(dB,bool),
44.23/44.40	                                                 app_encode_app(fun(fun(
44.23/44.40	                                                                    dB,
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool)),
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    dB,bool)),
44.23/44.40	                                                                app_encode_fun(
44.23/44.40	                                                                fun(dB,
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool)),
44.23/44.40	                                                                fun(dB,bool)),
44.23/44.40	                                                                aa(fun(
44.23/44.40	                                                                   dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,bool)),
44.23/44.40	                                                                app_encode_app(
44.23/44.40	                                                                fun(fun(
44.23/44.40	                                                                    type,bool),
44.23/44.40	                                                                    bool),
44.23/44.40	                                                                fun(fun(
44.23/44.40	                                                                    dB,
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool)),
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    dB,bool)),
44.23/44.40	                                                                app_encode_app(
44.23/44.40	                                                                fun(fun(
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool),
44.23/44.40	                                                                    bool),
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    dB,
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool)),
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    dB,bool))),
44.23/44.40	                                                                app_encode_fun(
44.23/44.40	                                                                fun(fun(
44.23/44.40	                                                                    type,bool),
44.23/44.40	                                                                    bool),
44.23/44.40	                                                                fun(fun(
44.23/44.40	                                                                    dB,
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool)),
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    dB,bool))),
44.23/44.40	                                                                aa(fun(
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool),
44.23/44.40	                                                                   bool),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   type,bool)),
44.23/44.40	                                                                   fun(
44.23/44.40	                                                                   dB,bool))),
44.23/44.40	                                                                combb(
44.23/44.40	                                                                fun(type,bool),
44.23/44.40	                                                                bool,dB)),
44.23/44.40	                                                                fEx(type))),
44.23/44.40	                                                 app_encode_app(fun(nat,type),
44.23/44.40	                                                                fun(dB,
44.23/44.40	                                                                    fun(
44.23/44.40	                                                                    type,bool)),
44.23/44.40	                                                                typing,
44.23/44.40	                                                                app_encode_app(
44.23/44.40	                                                                type,
44.23/44.40	                                                                fun(nat,type),
44.23/44.40	                                                                app_encode_app(
44.23/44.40	                                                                nat,
44.23/44.40	                                                                app_encode_fun(
44.23/44.40	                                                                type,
44.23/44.40	                                                                fun(nat,type)),
44.23/44.40	                                                                app_encode_app(
44.23/44.40	                                                                fun(nat,type),
44.23/44.40	                                                                app_encode_fun(
44.23/44.40	                                                                nat,
44.23/44.40	                                                                app_encode_fun(
44.23/44.40	                                                                type,
44.23/44.40	                                                                fun(nat,type))),
44.23/44.40	                                                                shift(type),e),
44.23/44.40	                                                                i),t)))),
44.23/44.40	                   as))).
44.23/44.40	tff('6', plain,
44.23/44.40	    ~ app_encode_app(list(dB), $o, 
44.23/44.40	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
44.23/44.40	          listsp(dB), 
44.23/44.40	          app_encode_app(fun(dB, fun(type, bool)), fun(dB, bool), 
44.23/44.40	            app_encode_app(fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	              app_encode_fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	              aa(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	              app_encode_app(fun(fun(type, bool), bool), 
44.23/44.40	                fun(fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	                app_encode_app(
44.23/44.40	                  fun(fun(fun(type, bool), bool), 
44.23/44.40	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                  app_encode_fun(fun(fun(type, bool), bool), 
44.23/44.40	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                  aa(fun(fun(type, bool), bool), 
44.23/44.40	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                  combb(fun(type, bool), bool, dB)), fEx(type))), 
44.23/44.40	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
44.23/44.40	              app_encode_app(type, fun(nat, type), 
44.23/44.40	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
44.23/44.40	                  app_encode_app(fun(nat, type), 
44.23/44.40	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
44.23/44.40	                    shift(type), e), i), t)))), as),
44.23/44.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
44.23/44.40	tff('7', plain,
44.23/44.40	    ~ app_encode_app(list(dB), $o, 
44.23/44.40	        app_encode_app(fun(dB, bool), app_encode_fun(list(dB), $o), 
44.23/44.40	          listsp(dB), 
44.23/44.40	          app_encode_app(fun(fun(type, bool), bool), fun(dB, bool), 
44.23/44.40	            app_encode_app(fun(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	              app_encode_fun(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	              aa(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	              app_encode_app(fun(dB, fun(type, bool)), 
44.23/44.40	                fun(fun(fun(type, bool), bool), fun(dB, bool)), 
44.23/44.40	                app_encode_app(
44.23/44.40	                  fun(fun(fun(type, bool), bool), 
44.23/44.40	                    fun(fun(dB, fun(type, bool)), fun(dB, bool))), 
44.23/44.40	                  app_encode_fun(fun(dB, fun(type, bool)), 
44.23/44.40	                    fun(fun(fun(type, bool), bool), fun(dB, bool))), 
44.23/44.40	                  combc(fun(fun(type, bool), bool), 
44.23/44.40	                    fun(dB, fun(type, bool)), fun(dB, bool)), 
44.23/44.40	                  combb(fun(type, bool), bool, dB)), 
44.23/44.40	                app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
44.23/44.40	                  typing, 
44.23/44.40	                  app_encode_app(type, fun(nat, type), 
44.23/44.40	                    app_encode_app(nat, 
44.23/44.40	                      app_encode_fun(type, fun(nat, type)), 
44.23/44.40	                      app_encode_app(fun(nat, type), 
44.23/44.40	                        app_encode_fun(nat, 
44.23/44.40	                          app_encode_fun(type, fun(nat, type))), 
44.23/44.40	                        shift(type), e), i), t)))), fEx(type))), as),
44.23/44.40	    inference('demod', [status(thm)], ['6', '4'])).
44.23/44.40	tff('8', plain, ~ $true, inference('sup-', [status(thm)], ['5', '7'])).
44.23/44.40	tff('9', plain, $false, inference('simplify', [status(thm)], ['8'])).
44.23/44.40	
44.23/44.40	% SZS output end Refutation
44.23/44.40	EOF
