0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n132.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:09:09 CST 2018
11.13/11.32	% done 2425 iterations in 11.117s
11.13/11.32	% SZS status Theorem for 'stdin'
11.13/11.32	% SZS output start Refutation
11.13/11.32	tff(zf_stmt_64, axiom,
11.13/11.32	  (app_encode_app(bool,$o,pp,
11.13/11.32	                  app_encode_app(list(type),bool,
11.13/11.32	                                 app_encode_app(fun(list(type),bool),
11.13/11.32	                                                app_encode_fun(list(type),
11.13/11.32	                                                               bool),
11.13/11.32	                                                aa(list(type),bool),
11.13/11.32	                                                app_encode_app(list(dB),
11.13/11.32	                                                               fun(list(type),
11.13/11.32	                                                                   bool),
11.13/11.32	                                                               app_encode_app(
11.13/11.32	                                                               fun(nat,type),
11.13/11.32	                                                               app_encode_fun(
11.13/11.32	                                                               list(dB),
11.13/11.32	                                                               fun(list(type),
11.13/11.32	                                                                   bool)),
11.13/11.33	                                                               typings,
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               type,
11.13/11.33	                                                               fun(nat,type),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               nat,
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               type,
11.13/11.33	                                                               fun(nat,type)),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(nat,type),
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               nat,
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               type,
11.13/11.33	                                                               fun(nat,type))),
11.13/11.33	                                                               shift(type),e),
11.13/11.33	                                                               i),t)),as)),
11.13/11.33	                                 ts)))).
11.13/11.33	tff('0', plain,
11.13/11.33	    app_encode_app(bool, $o, pp, 
11.13/11.33	      app_encode_app(list(type), bool, 
11.13/11.33	        app_encode_app(fun(list(type), bool), 
11.13/11.33	          app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	          app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	            app_encode_app(fun(nat, type), 
11.13/11.33	              app_encode_fun(list(dB), fun(list(type), bool)), typings, 
11.13/11.33	              app_encode_app(type, fun(nat, type), 
11.13/11.33	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
11.13/11.33	                  app_encode_app(fun(nat, type), 
11.13/11.33	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
11.13/11.33	                    shift(type), e), i), t)), as)), ts)),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_64])).
11.13/11.33	tff(zf_stmt_66, axiom,
11.13/11.33	  (![Tsa:list(type),Ts:list(dB),Ib:nat,Ta1:type,Ub:dB,Eb:fun(nat,type)]:
11.13/11.33	     (app_encode_app(bool,$o,pp,
11.13/11.33	                     app_encode_app(type,bool,
11.13/11.33	                                    app_encode_app(fun(type,bool),
11.13/11.33	                                                   app_encode_fun(type,bool),
11.13/11.33	                                                   aa(type,bool),
11.13/11.33	                                                   app_encode_app(dB,
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  type,bool),
11.13/11.33	                                                                  app_encode_app(
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  dB,
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  type,bool)),
11.13/11.33	                                                                  app_encode_fun(
11.13/11.33	                                                                  dB,
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  type,bool)),
11.13/11.33	                                                                  aa(
11.13/11.33	                                                                  dB,
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  type,bool)),
11.13/11.33	                                                                  app_encode_app(
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  nat,type),
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  dB,
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  type,bool)),
11.13/11.33	                                                                  typing,Eb)),
11.13/11.33	                                                                  Ub)),
11.13/11.33	                                    Ta1)) =>
11.13/11.33	      (app_encode_app(bool,$o,pp,
11.13/11.33	                      app_encode_app(list(type),bool,
11.13/11.33	                                     app_encode_app(fun(list(type),bool),
11.13/11.33	                                                    app_encode_fun(list(type),
11.13/11.33	                                                                   bool),
11.13/11.33	                                                    aa(list(type),bool),
11.13/11.33	                                                    app_encode_app(list(dB),
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   list(type),
11.13/11.33	                                                                   bool),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,type),
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   list(dB),
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   list(type),
11.13/11.33	                                                                   bool)),
11.13/11.33	                                                                   typings,
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   type,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,type),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   nat,
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   type,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,type)),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,type),
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   nat,
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   type,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,type))),
11.13/11.33	                                                                   shift(
11.13/11.33	                                                                   type),Eb),
11.13/11.33	                                                                   Ib),Ta1)),
11.13/11.33	                                                                   Ts)),
11.13/11.33	                                     Tsa)) =>
11.13/11.33	       app_encode_app(bool,$o,pp,
11.13/11.33	                      app_encode_app(list(type),bool,
11.13/11.33	                                     app_encode_app(fun(list(type),bool),
11.13/11.33	                                                    app_encode_fun(list(type),
11.13/11.33	                                                                   bool),
11.13/11.33	                                                    aa(list(type),bool),
11.13/11.33	                                                    app_encode_app(list(dB),
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   list(type),
11.13/11.33	                                                                   bool),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,type),
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   list(dB),
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   list(type),
11.13/11.33	                                                                   bool)),
11.13/11.33	                                                                   typings,Eb),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   list(dB),
11.13/11.33	                                                                   list(dB),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   fun(dB,dB),
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   list(dB),
11.13/11.33	                                                                   list(dB)),
11.13/11.33	                                                                   map(dB,dB),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   nat,
11.13/11.33	                                                                   fun(dB,dB),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB)),
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   nat,
11.13/11.33	                                                                   fun(dB,dB)),
11.13/11.33	                                                                   combc(
11.13/11.33	                                                                   dB,nat,dB),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB)),
11.13/11.33	                                                                   app_encode_app(
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB))),
11.13/11.33	                                                                   app_encode_fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB))),
11.13/11.33	                                                                   combc(
11.13/11.33	                                                                   dB,dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB)),
11.13/11.33	                                                                   subst),Ub)),
11.13/11.33	                                                                   Ib)),Ts))),
11.13/11.33	                                     Tsa)))))).
11.13/11.33	tff('1', plain,
11.13/11.33	    ![X6 : fun(nat, type), X7 : nat, X8 : type, X9 : list(dB), 
11.13/11.33	      X10 : list(type), X11 : dB]:
11.13/11.33	      (~ app_encode_app(bool, $o, pp, 
11.13/11.33	           app_encode_app(list(type), bool, 
11.13/11.33	             app_encode_app(fun(list(type), bool), 
11.13/11.33	               app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	               app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	                 app_encode_app(fun(nat, type), 
11.13/11.33	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
11.13/11.33	                   app_encode_app(type, fun(nat, type), 
11.13/11.33	                     app_encode_app(nat, 
11.13/11.33	                       app_encode_fun(type, fun(nat, type)), 
11.13/11.33	                       app_encode_app(fun(nat, type), 
11.13/11.33	                         app_encode_fun(nat, 
11.13/11.33	                           app_encode_fun(type, fun(nat, type))), 
11.13/11.33	                         shift(type), X6), X7), X8)), X9)), X10))
11.13/11.33	       | app_encode_app(bool, $o, pp, 
11.13/11.33	           app_encode_app(list(type), bool, 
11.13/11.33	             app_encode_app(fun(list(type), bool), 
11.13/11.33	               app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	               app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	                 app_encode_app(fun(nat, type), 
11.13/11.33	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
11.13/11.33	                   X6), 
11.13/11.33	                 app_encode_app(list(dB), list(dB), 
11.13/11.33	                   app_encode_app(fun(dB, dB), 
11.13/11.33	                     app_encode_fun(list(dB), list(dB)), map(dB, dB), 
11.13/11.33	                     app_encode_app(nat, fun(dB, dB), 
11.13/11.33	                       app_encode_app(fun(dB, fun(nat, dB)), 
11.13/11.33	                         app_encode_fun(nat, fun(dB, dB)), 
11.13/11.33	                         combc(dB, nat, dB), 
11.13/11.33	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.13/11.33	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                             combc(dB, dB, fun(nat, dB)), subst), X11)), X7)), 
11.13/11.33	                   X9))), X10))
11.13/11.33	       | ~ app_encode_app(bool, $o, pp, 
11.13/11.33	             app_encode_app(type, bool, 
11.13/11.33	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.13/11.33	                 aa(type, bool), 
11.13/11.33	                 app_encode_app(dB, fun(type, bool), 
11.13/11.33	                   app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_fun(dB, fun(type, bool)), 
11.13/11.33	                     aa(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_app(fun(nat, type), 
11.13/11.33	                       fun(dB, fun(type, bool)), typing, X6)), X11)), X8))),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_66])).
11.13/11.33	tff('2', plain,
11.13/11.33	    ![X0 : dB]:
11.13/11.33	      (~ $true
11.13/11.33	       | ~ app_encode_app(bool, $o, pp, 
11.13/11.33	             app_encode_app(type, bool, 
11.13/11.33	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.13/11.33	                 aa(type, bool), 
11.13/11.33	                 app_encode_app(dB, fun(type, bool), 
11.13/11.33	                   app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_fun(dB, fun(type, bool)), 
11.13/11.33	                     aa(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_app(fun(nat, type), 
11.13/11.33	                       fun(dB, fun(type, bool)), typing, e)), X0)), t))
11.13/11.33	       | app_encode_app(bool, $o, pp, 
11.13/11.33	           app_encode_app(list(type), bool, 
11.13/11.33	             app_encode_app(fun(list(type), bool), 
11.13/11.33	               app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	               app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	                 app_encode_app(fun(nat, type), 
11.13/11.33	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
11.13/11.33	                   e), 
11.13/11.33	                 app_encode_app(list(dB), list(dB), 
11.13/11.33	                   app_encode_app(fun(dB, dB), 
11.13/11.33	                     app_encode_fun(list(dB), list(dB)), map(dB, dB), 
11.13/11.33	                     app_encode_app(nat, fun(dB, dB), 
11.13/11.33	                       app_encode_app(fun(dB, fun(nat, dB)), 
11.13/11.33	                         app_encode_fun(nat, fun(dB, dB)), 
11.13/11.33	                         combc(dB, nat, dB), 
11.13/11.33	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.13/11.33	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                             combc(dB, dB, fun(nat, dB)), subst), X0)), i)), 
11.13/11.33	                   as))), ts))),
11.13/11.33	    inference('sup-', [status(thm)], ['0', '1'])).
11.13/11.33	tff('3', plain,
11.13/11.33	    ![X0 : dB]:
11.13/11.33	      (app_encode_app(bool, $o, pp, 
11.13/11.33	         app_encode_app(list(type), bool, 
11.13/11.33	           app_encode_app(fun(list(type), bool), 
11.13/11.33	             app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	             app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	               app_encode_app(fun(nat, type), 
11.13/11.33	                 app_encode_fun(list(dB), fun(list(type), bool)), typings, e), 
11.13/11.33	               app_encode_app(list(dB), list(dB), 
11.13/11.33	                 app_encode_app(fun(dB, dB), 
11.13/11.33	                   app_encode_fun(list(dB), list(dB)), map(dB, dB), 
11.13/11.33	                   app_encode_app(nat, fun(dB, dB), 
11.13/11.33	                     app_encode_app(fun(dB, fun(nat, dB)), 
11.13/11.33	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
11.13/11.33	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.13/11.33	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                           combc(dB, dB, fun(nat, dB)), subst), X0)), i)), 
11.13/11.33	                 as))), ts))
11.13/11.33	       | ~ app_encode_app(bool, $o, pp, 
11.13/11.33	             app_encode_app(type, bool, 
11.13/11.33	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.13/11.33	                 aa(type, bool), 
11.13/11.33	                 app_encode_app(dB, fun(type, bool), 
11.13/11.33	                   app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_fun(dB, fun(type, bool)), 
11.13/11.33	                     aa(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_app(fun(nat, type), 
11.13/11.33	                       fun(dB, fun(type, bool)), typing, e)), X0)), t))),
11.13/11.33	    inference('simplify', [status(thm)], ['2'])).
11.13/11.33	tff(zf_stmt_164, axiom,
11.13/11.33	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
11.13/11.33	     (app_encode_app(A,C,
11.13/11.33	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
11.13/11.33	                                    app_encode_app(B,fun(A,C),
11.13/11.33	                                                   app_encode_app(fun(
11.13/11.33	                                                                  A,fun(B,C)),
11.13/11.33	                                                                  app_encode_fun(
11.13/11.33	                                                                  B,fun(A,C)),
11.13/11.33	                                                                  combc(
11.13/11.33	                                                                  A,B,C),P),
11.13/11.33	                                                   Q)),
11.13/11.33	                     R) =
11.13/11.33	      app_encode_app(B,C,
11.13/11.33	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
11.13/11.33	                                    app_encode_app(A,fun(B,C),
11.13/11.33	                                                   app_encode_app(fun(
11.13/11.33	                                                                  A,fun(B,C)),
11.13/11.33	                                                                  app_encode_fun(
11.13/11.33	                                                                  A,fun(B,C)),
11.13/11.33	                                                                  aa(
11.13/11.33	                                                                  A,fun(B,C)),
11.13/11.33	                                                                  P),
11.13/11.33	                                                   R)),
11.13/11.33	                     Q)))).
11.13/11.33	tff('4', plain,
11.13/11.33	    ![X317 : $tType, X318 : $tType, X319 : $tType, 
11.13/11.33	      X320 : fun(X319, fun(X317, X318)), X321 : X319, X322 : X317]:
11.13/11.33	      app_encode_app(X319, X318, 
11.13/11.33	        app_encode_app(fun(X319, X318), app_encode_fun(X319, X318), 
11.13/11.33	          aa(X319, X318), 
11.13/11.33	          app_encode_app(X317, fun(X319, X318), 
11.13/11.33	            app_encode_app(fun(X319, fun(X317, X318)), 
11.13/11.33	              app_encode_fun(X317, fun(X319, X318)), 
11.13/11.33	              combc(X319, X317, X318), X320), X322)), X321)
11.13/11.33	       = app_encode_app(X317, X318, 
11.13/11.33	           app_encode_app(fun(X317, X318), app_encode_fun(X317, X318), 
11.13/11.33	             aa(X317, X318), 
11.13/11.33	             app_encode_app(X319, fun(X317, X318), 
11.13/11.33	               app_encode_app(fun(X319, fun(X317, X318)), 
11.13/11.33	                 app_encode_fun(X319, fun(X317, X318)), 
11.13/11.33	                 aa(X319, fun(X317, X318)), X320), X321)), X322),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_164])).
11.13/11.33	tff('5', plain,
11.13/11.33	    ![X0 : dB]:
11.13/11.33	      (app_encode_app(bool, $o, pp, 
11.13/11.33	         app_encode_app(list(type), bool, 
11.13/11.33	           app_encode_app(fun(list(type), bool), 
11.13/11.33	             app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	             app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	               app_encode_app(fun(nat, type), 
11.13/11.33	                 app_encode_fun(list(dB), fun(list(type), bool)), typings, e), 
11.13/11.33	               app_encode_app(list(dB), list(dB), 
11.13/11.33	                 app_encode_app(fun(dB, dB), 
11.13/11.33	                   app_encode_fun(list(dB), list(dB)), map(dB, dB), 
11.13/11.33	                   app_encode_app(nat, fun(dB, dB), 
11.13/11.33	                     app_encode_app(fun(dB, fun(nat, dB)), 
11.13/11.33	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
11.13/11.33	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.13/11.33	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                           combc(dB, dB, fun(nat, dB)), subst), X0)), i)), 
11.13/11.33	                 as))), ts))
11.13/11.33	       | ~ app_encode_app(bool, $o, pp, 
11.13/11.33	             app_encode_app(dB, bool, 
11.13/11.33	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
11.13/11.33	                 aa(dB, bool), 
11.13/11.33	                 app_encode_app(type, fun(dB, bool), 
11.13/11.33	                   app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	                     app_encode_fun(type, fun(dB, bool)), 
11.13/11.33	                     combc(dB, type, bool), 
11.13/11.33	                     app_encode_app(fun(nat, type), 
11.13/11.33	                       fun(dB, fun(type, bool)), typing, e)), t)), X0))),
11.13/11.33	    inference('demod', [status(thm)], ['3', '4'])).
11.13/11.33	tff(zf_stmt_174, conjecture,
11.13/11.33	  (app_encode_app(bool,$o,pp,
11.13/11.33	                  app_encode_app(list(type),bool,
11.13/11.33	                                 app_encode_app(fun(list(type),bool),
11.13/11.33	                                                app_encode_fun(list(type),
11.13/11.33	                                                               bool),
11.13/11.33	                                                aa(list(type),bool),
11.13/11.33	                                                app_encode_app(list(dB),
11.13/11.33	                                                               fun(list(type),
11.13/11.33	                                                                   bool),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(nat,type),
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               list(dB),
11.13/11.33	                                                               fun(list(type),
11.13/11.33	                                                                   bool)),
11.13/11.33	                                                               typings,e),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               list(dB),
11.13/11.33	                                                               list(dB),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(dB,dB),
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               list(dB),
11.13/11.33	                                                               list(dB)),
11.13/11.33	                                                               map(dB,dB),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               nat,
11.13/11.33	                                                               fun(dB,dB),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB)),
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               nat,fun(dB,dB)),
11.13/11.33	                                                               combc(
11.13/11.33	                                                               dB,nat,dB),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               dB,
11.13/11.33	                                                               fun(dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB)),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB))),
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               dB,
11.13/11.33	                                                               fun(dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   nat,dB))),
11.13/11.33	                                                               combc(
11.13/11.33	                                                               dB,dB,
11.13/11.33	                                                               fun(nat,dB)),
11.13/11.33	                                                               subst),u)),i)),
11.13/11.33	                                                               as))),
11.13/11.33	                                 ts)))).
11.13/11.33	tff(zf_stmt_0, negated_conjecture,
11.13/11.33	  (~
11.13/11.33	    app_encode_app(bool,$o,pp,
11.13/11.33	                   app_encode_app(list(type),bool,
11.13/11.33	                                  app_encode_app(fun(list(type),bool),
11.13/11.33	                                                 app_encode_fun(list(type),
11.13/11.33	                                                                bool),
11.13/11.33	                                                 aa(list(type),bool),
11.13/11.33	                                                 app_encode_app(list(dB),
11.13/11.33	                                                                fun(list(
11.13/11.33	                                                                    type),
11.13/11.33	                                                                    bool),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                fun(nat,type),
11.13/11.33	                                                                app_encode_fun(
11.13/11.33	                                                                list(dB),
11.13/11.33	                                                                fun(list(
11.13/11.33	                                                                    type),
11.13/11.33	                                                                    bool)),
11.13/11.33	                                                                typings,e),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                list(dB),
11.13/11.33	                                                                list(dB),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                fun(dB,dB),
11.13/11.33	                                                                app_encode_fun(
11.13/11.33	                                                                list(dB),
11.13/11.33	                                                                list(dB)),
11.13/11.33	                                                                map(dB,dB),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                nat,
11.13/11.33	                                                                fun(dB,dB),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                fun(dB,
11.13/11.33	                                                                    fun(
11.13/11.33	                                                                    nat,dB)),
11.13/11.33	                                                                app_encode_fun(
11.13/11.33	                                                                nat,
11.13/11.33	                                                                fun(dB,dB)),
11.13/11.33	                                                                combc(
11.13/11.33	                                                                dB,nat,dB),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                dB,
11.13/11.33	                                                                fun(dB,
11.13/11.33	                                                                    fun(
11.13/11.33	                                                                    nat,dB)),
11.13/11.33	                                                                app_encode_app(
11.13/11.33	                                                                fun(dB,
11.13/11.33	                                                                    fun(
11.13/11.33	                                                                    dB,
11.13/11.33	                                                                    fun(
11.13/11.33	                                                                    nat,dB))),
11.13/11.33	                                                                app_encode_fun(
11.13/11.33	                                                                dB,
11.13/11.33	                                                                fun(dB,
11.13/11.33	                                                                    fun(
11.13/11.33	                                                                    nat,dB))),
11.13/11.33	                                                                combc(
11.13/11.33	                                                                dB,dB,
11.13/11.33	                                                                fun(nat,dB)),
11.13/11.33	                                                                subst),u)),i)),
11.13/11.33	                                                                as))),
11.13/11.33	                                  ts)))).
11.13/11.33	tff('6', plain,
11.13/11.33	    ~ app_encode_app(bool, $o, pp, 
11.13/11.33	        app_encode_app(list(type), bool, 
11.13/11.33	          app_encode_app(fun(list(type), bool), 
11.13/11.33	            app_encode_fun(list(type), bool), aa(list(type), bool), 
11.13/11.33	            app_encode_app(list(dB), fun(list(type), bool), 
11.13/11.33	              app_encode_app(fun(nat, type), 
11.13/11.33	                app_encode_fun(list(dB), fun(list(type), bool)), typings, e), 
11.13/11.33	              app_encode_app(list(dB), list(dB), 
11.13/11.33	                app_encode_app(fun(dB, dB), 
11.13/11.33	                  app_encode_fun(list(dB), list(dB)), map(dB, dB), 
11.13/11.33	                  app_encode_app(nat, fun(dB, dB), 
11.13/11.33	                    app_encode_app(fun(dB, fun(nat, dB)), 
11.13/11.33	                      app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
11.13/11.33	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
11.13/11.33	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
11.13/11.33	                          combc(dB, dB, fun(nat, dB)), subst), u)), i)), as))), 
11.13/11.33	          ts)),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
11.13/11.33	tff('7', plain,
11.13/11.33	    (~ $true
11.13/11.33	     | ~ app_encode_app(bool, $o, pp, 
11.13/11.33	           app_encode_app(dB, bool, 
11.13/11.33	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
11.13/11.33	               aa(dB, bool), 
11.13/11.33	               app_encode_app(type, fun(dB, bool), 
11.13/11.33	                 app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	                   app_encode_fun(type, fun(dB, bool)), 
11.13/11.33	                   combc(dB, type, bool), 
11.13/11.33	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
11.13/11.33	                     typing, e)), t)), u))),
11.13/11.33	    inference('sup-', [status(thm)], ['5', '6'])).
11.13/11.33	tff(zf_stmt_60, axiom,
11.13/11.33	  (app_encode_app(bool,$o,pp,
11.13/11.33	                  app_encode_app(type,bool,
11.13/11.33	                                 app_encode_app(fun(type,bool),
11.13/11.33	                                                app_encode_fun(type,bool),
11.13/11.33	                                                aa(type,bool),
11.13/11.33	                                                app_encode_app(dB,
11.13/11.33	                                                               fun(type,bool),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   type,bool)),
11.13/11.33	                                                               app_encode_fun(
11.13/11.33	                                                               dB,
11.13/11.33	                                                               fun(type,bool)),
11.13/11.33	                                                               aa(dB,
11.13/11.33	                                                                  fun(
11.13/11.33	                                                                  type,bool)),
11.13/11.33	                                                               app_encode_app(
11.13/11.33	                                                               fun(nat,type),
11.13/11.33	                                                               fun(dB,
11.13/11.33	                                                                   fun(
11.13/11.33	                                                                   type,bool)),
11.13/11.33	                                                               typing,e)),u)),
11.13/11.33	                                 t)))).
11.13/11.33	tff('8', plain,
11.13/11.33	    app_encode_app(bool, $o, pp, 
11.13/11.33	      app_encode_app(type, bool, 
11.13/11.33	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.13/11.33	          aa(type, bool), 
11.13/11.33	          app_encode_app(dB, fun(type, bool), 
11.13/11.33	            app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
11.13/11.33	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
11.13/11.33	                typing, e)), u)), t)),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_60])).
11.13/11.33	tff(zf_stmt_171, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
11.13/11.33	tff('9', plain, ![X337 : bool]: (X337 = fTrue | X337 = fFalse),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_171])).
11.13/11.33	tff(zf_stmt_160, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
11.13/11.33	tff('10', plain, ~ app_encode_app(bool, $o, pp, fFalse),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_160])).
11.13/11.33	tff('11', plain,
11.13/11.33	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
11.13/11.33	    inference('sup-', [status(thm)], ['9', '10'])).
11.13/11.33	tff('12', plain,
11.13/11.33	    (~ $true
11.13/11.33	     | app_encode_app(type, bool, 
11.13/11.33	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.13/11.33	           aa(type, bool), 
11.13/11.33	           app_encode_app(dB, fun(type, bool), 
11.13/11.33	             app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	               app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
11.13/11.33	               app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
11.13/11.33	                 typing, e)), u)), t)
11.13/11.33	        = fTrue),
11.13/11.33	    inference('sup-', [status(thm)], ['8', '11'])).
11.13/11.33	tff('13', plain,
11.13/11.33	    app_encode_app(type, bool, 
11.13/11.33	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.13/11.33	        aa(type, bool), 
11.13/11.33	        app_encode_app(dB, fun(type, bool), 
11.13/11.33	          app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	            app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
11.13/11.33	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
11.13/11.33	              e)), u)), t)
11.13/11.33	     = fTrue,
11.13/11.33	    inference('simplify', [status(thm)], ['12'])).
11.13/11.33	tff('14', plain,
11.13/11.33	    app_encode_app(dB, bool, 
11.13/11.33	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
11.13/11.33	        app_encode_app(type, fun(dB, bool), 
11.13/11.33	          app_encode_app(fun(dB, fun(type, bool)), 
11.13/11.33	            app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
11.13/11.33	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
11.13/11.33	              e)), t)), u)
11.13/11.33	     = fTrue,
11.13/11.33	    inference('demod', [status(thm)], ['13', '4'])).
11.13/11.33	tff(zf_stmt_161, axiom, (app_encode_app(bool,$o,pp,fTrue))).
11.13/11.33	tff('15', plain, app_encode_app(bool, $o, pp, fTrue),
11.13/11.33	    inference('cnf', [status(esa)], [zf_stmt_161])).
11.13/11.33	tff('16', plain, (~ $true | ~ $true),
11.13/11.33	    inference('demod', [status(thm)], ['7', '14', '15'])).
11.13/11.33	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
11.13/11.33	
11.13/11.33	% SZS output end Refutation
11.13/11.33	EOF
