0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n189.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:29:39 CST 2018
28.56/28.76	% done 2475 iterations in 28.563s
28.56/28.76	% SZS status Theorem for 'stdin'
28.56/28.76	% SZS output start Refutation
28.56/28.76	tff(zf_stmt_155, axiom,
28.56/28.76	  (![B:$tType,A:$tType,Q:B,P:A]:
28.56/28.76	     (app_encode_app(B,A,
28.56/28.76	                     app_encode_app(fun(B,A),app_encode_fun(B,A),aa(B,A),
28.56/28.76	                                    app_encode_app(A,fun(B,A),combk(A,B),P)),
28.56/28.76	                     Q) =
28.56/28.76	      P))).
28.56/28.76	tff('0', plain,
28.56/28.76	    ![X423 : $tType, X424 : X423, X425 : $tType, X426 : X425]:
28.56/28.76	      app_encode_app(X425, X423, 
28.56/28.76	        app_encode_app(fun(X425, X423), app_encode_fun(X425, X423), 
28.56/28.76	          aa(X425, X423), 
28.56/28.76	          app_encode_app(X423, fun(X425, X423), combk(X423, X425), X424)), 
28.56/28.76	        X426)
28.56/28.76	       = X424,
28.56/28.76	    inference('cnf', [status(esa)], [zf_stmt_155])).
28.56/28.76	tff(zf_stmt_52, axiom,
28.56/28.76	  (![B:$tType,Q1:fun(B,fun(state,bool)),Ca:com,
28.56/28.76	     Ga:fun(hoare_28830079triple(B),bool),Pa:fun(B,fun(state,bool))]:
28.56/28.76	     ((![Z1:B,S:state]:
28.56/28.76	         (app_encode_app(bool,$o,pp,
28.56/28.76	                         app_encode_app(state,bool,
28.56/28.76	                                        app_encode_app(fun(state,bool),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       state,bool),
28.56/28.76	                                                       aa(state,bool),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       B,fun(state,bool),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       B,fun(state,bool)),
28.56/28.76	                                                       aa(B,fun(state,bool)),
28.56/28.76	                                                       Pa),Z1)),
28.56/28.76	                                        S)) =>
28.56/28.76	          app_encode_app(fun(hoare_28830079triple(B),bool),$o,
28.56/28.76	                         app_encode_app(fun(hoare_28830079triple(B),bool),
28.56/28.76	                                        app_encode_fun(fun(hoare_28830079triple(
28.56/28.76	                                                           B),bool),
28.56/28.76	                                                       $o),
28.56/28.76	                                        hoare_992312373derivs(B),Ga),
28.56/28.76	                         app_encode_app(fun(hoare_28830079triple(B),bool),
28.56/28.76	                                        fun(hoare_28830079triple(B),bool),
28.56/28.76	                                        app_encode_app(fun(fun(hoare_28830079triple(
28.56/28.76	                                                               B),bool),
28.56/28.76	                                                           fun(hoare_28830079triple(
28.56/28.76	                                                               B),bool)),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       fun(hoare_28830079triple(
28.56/28.76	                                                           B),bool),
28.56/28.76	                                                       fun(hoare_28830079triple(
28.56/28.76	                                                           B),bool)),
28.56/28.76	                                                       aa(fun(hoare_28830079triple(
28.56/28.76	                                                              B),bool),
28.56/28.76	                                                          fun(hoare_28830079triple(
28.56/28.76	                                                              B),bool)),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       hoare_28830079triple(
28.56/28.76	                                                       B),
28.56/28.76	                                                       fun(fun(hoare_28830079triple(
28.56/28.76	                                                               B),bool),
28.56/28.76	                                                           fun(hoare_28830079triple(
28.56/28.76	                                                               B),bool)),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(hoare_28830079triple(
28.56/28.76	                                                           B),
28.56/28.76	                                                           fun(fun(hoare_28830079triple(
28.56/28.76	                                                                   B),bool),
28.56/28.76	                                                               fun(hoare_28830079triple(
28.56/28.76	                                                                   B),bool))),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       hoare_28830079triple(
28.56/28.76	                                                       B),
28.56/28.76	                                                       fun(fun(hoare_28830079triple(
28.56/28.76	                                                               B),bool),
28.56/28.76	                                                           fun(hoare_28830079triple(
28.56/28.76	                                                               B),bool))),
28.56/28.76	                                                       aa(hoare_28830079triple(
28.56/28.76	                                                          B),
28.56/28.76	                                                          fun(fun(hoare_28830079triple(
28.56/28.76	                                                                  B),bool),
28.56/28.76	                                                              fun(hoare_28830079triple(
28.56/28.76	                                                                  B),bool))),
28.56/28.76	                                                       insert(hoare_28830079triple(
28.56/28.76	                                                              B))),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       hoare_28830079triple(
28.56/28.76	                                                       B),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       com,
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       hoare_28830079triple(
28.56/28.76	                                                       B)),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       com,
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       hoare_28830079triple(
28.56/28.76	                                                       B))),
28.56/28.76	                                                       hoare_1841697145triple(
28.56/28.76	                                                       B),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(state,bool),
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       combk(fun(state,bool),
28.56/28.76	                                                             B),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       state,fun(state,bool),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(state,
28.56/28.76	                                                           fun(state,bool)),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       state,fun(state,bool)),
28.56/28.76	                                                       aa(state,
28.56/28.76	                                                          fun(state,bool)),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(state,
28.56/28.76	                                                           fun(state,bool)),
28.56/28.76	                                                       fun(state,
28.56/28.76	                                                           fun(state,bool)),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(fun(state,
28.56/28.76	                                                               fun(state,bool)),
28.56/28.76	                                                           fun(state,
28.56/28.76	                                                               fun(state,bool))),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       fun(state,
28.56/28.76	                                                           fun(state,bool)),
28.56/28.76	                                                       fun(state,
28.56/28.76	                                                           fun(state,bool))),
28.56/28.76	                                                       aa(fun(state,
28.56/28.76	                                                              fun(state,bool)),
28.56/28.76	                                                          fun(state,
28.56/28.76	                                                              fun(state,bool))),
28.56/28.76	                                                       combc(state,state,bool)),
28.56/28.76	                                                       fequal(state))),S))),
28.56/28.76	                                                       Ca),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(state,bool),
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       combk(fun(state,bool),
28.56/28.76	                                                             B),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       B,fun(state,bool),
28.56/28.76	                                                       app_encode_app(
28.56/28.76	                                                       fun(B,fun(state,bool)),
28.56/28.76	                                                       app_encode_fun(
28.56/28.76	                                                       B,fun(state,bool)),
28.56/28.76	                                                       aa(B,fun(state,bool)),
28.56/28.76	                                                       Q1),Z1))))),
28.56/28.76	                                        bot_bot(fun(hoare_28830079triple(B),
28.56/28.76	                                                    bool)))))) =>
28.56/28.76	      app_encode_app(fun(hoare_28830079triple(B),bool),$o,
28.56/28.76	                     app_encode_app(fun(hoare_28830079triple(B),bool),
28.56/28.76	                                    app_encode_fun(fun(hoare_28830079triple(
28.56/28.76	                                                       B),bool),
28.56/28.76	                                                   $o),
28.56/28.76	                                    hoare_992312373derivs(B),Ga),
28.56/28.76	                     app_encode_app(fun(hoare_28830079triple(B),bool),
28.56/28.76	                                    fun(hoare_28830079triple(B),bool),
28.56/28.76	                                    app_encode_app(fun(fun(hoare_28830079triple(
28.56/28.76	                                                           B),bool),
28.56/28.76	                                                       fun(hoare_28830079triple(
28.56/28.76	                                                           B),bool)),
28.56/28.76	                                                   app_encode_fun(fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool)),
28.56/28.76	                                                   aa(fun(hoare_28830079triple(
28.56/28.76	                                                          B),bool),
28.56/28.76	                                                      fun(hoare_28830079triple(
28.56/28.76	                                                          B),bool)),
28.56/28.76	                                                   app_encode_app(hoare_28830079triple(
28.56/28.76	                                                                  B),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool)),
28.56/28.76	                                                                  app_encode_app(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool))),
28.56/28.76	                                                                  app_encode_fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool))),
28.56/28.76	                                                                  aa(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool),
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),bool))),
28.56/28.76	                                                                  insert(
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B))),
28.56/28.76	                                                                  app_encode_app(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  state,bool)),
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B),
28.56/28.76	                                                                  app_encode_app(
28.56/28.76	                                                                  com,
28.56/28.76	                                                                  app_encode_fun(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  state,bool)),
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B)),
28.56/28.76	                                                                  app_encode_app(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  state,bool)),
28.56/28.76	                                                                  app_encode_fun(
28.56/28.76	                                                                  com,
28.56/28.76	                                                                  app_encode_fun(
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  state,bool)),
28.56/28.76	                                                                  hoare_28830079triple(
28.56/28.76	                                                                  B))),
28.56/28.76	                                                                  hoare_1841697145triple(
28.56/28.76	                                                                  B),Pa),Ca),
28.56/28.76	                                                                  Q1))),
28.56/28.76	                                    bot_bot(fun(hoare_28830079triple(B),bool))))))).
28.56/28.76	tff('1', plain,
28.56/28.76	    ![X28 : $tType, X29 : fun(hoare_28830079triple(X28), bool), 
28.56/28.76	      X30 : fun(X28, fun(state, bool)), X31 : com, 
28.56/28.76	      X32 : fun(X28, fun(state, bool))]:
28.56/28.76	      (app_encode_app(fun(hoare_28830079triple(X28), bool), $o, 
28.56/28.76	         app_encode_app(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	           app_encode_fun(fun(hoare_28830079triple(X28), bool), $o), 
28.56/28.76	           hoare_992312373derivs(X28), X29), 
28.56/28.76	         app_encode_app(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	           fun(hoare_28830079triple(X28), bool), 
28.56/28.76	           app_encode_app(
28.56/28.76	             fun(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	               fun(hoare_28830079triple(X28), bool)), 
28.56/28.76	             app_encode_fun(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	               fun(hoare_28830079triple(X28), bool)), 
28.56/28.76	             aa(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	               fun(hoare_28830079triple(X28), bool)), 
28.56/28.76	             app_encode_app(hoare_28830079triple(X28), 
28.56/28.76	               fun(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	                 fun(hoare_28830079triple(X28), bool)), 
28.56/28.76	               app_encode_app(
28.56/28.76	                 fun(hoare_28830079triple(X28), 
28.56/28.76	                   fun(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	                     fun(hoare_28830079triple(X28), bool))), 
28.56/28.76	                 app_encode_fun(hoare_28830079triple(X28), 
28.56/28.76	                   fun(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	                     fun(hoare_28830079triple(X28), bool))), 
28.56/28.76	                 aa(hoare_28830079triple(X28), 
28.56/28.76	                   fun(fun(hoare_28830079triple(X28), bool), 
28.56/28.76	                     fun(hoare_28830079triple(X28), bool))), 
28.56/28.76	                 insert(hoare_28830079triple(X28))), 
28.56/28.76	               app_encode_app(fun(X28, fun(state, bool)), 
28.56/28.76	                 hoare_28830079triple(X28), 
28.56/28.76	                 app_encode_app(com, 
28.56/28.76	                   app_encode_fun(fun(X28, fun(state, bool)), 
28.56/28.76	                     hoare_28830079triple(X28)), 
28.56/28.76	                   app_encode_app(fun(X28, fun(state, bool)), 
28.56/28.76	                     app_encode_fun(com, 
28.56/28.76	                       app_encode_fun(fun(X28, fun(state, bool)), 
28.56/28.76	                         hoare_28830079triple(X28))), 
28.56/28.76	                     hoare_1841697145triple(X28), X30), X31), X32))), 
28.56/28.76	           bot_bot(fun(hoare_28830079triple(X28), bool))))
28.56/28.76	       | app_encode_app(bool, $o, pp, 
28.56/28.76	           app_encode_app(state, bool, 
28.56/28.76	             app_encode_app(fun(state, bool), app_encode_fun(state, bool), 
28.56/28.76	               aa(state, bool), 
28.56/28.76	               app_encode_app(X28, fun(state, bool), 
28.56/28.76	                 app_encode_app(fun(X28, fun(state, bool)), 
28.56/28.76	                   app_encode_fun(X28, fun(state, bool)), 
28.56/28.76	                   aa(X28, fun(state, bool)), X30), 
28.56/28.76	                 sk_Z1(X28, X30, X29, X31, X32))), 
28.56/28.76	             sk_S(X28, X30, X29, X31, X32)))),
28.56/28.76	    inference('cnf', [status(esa)], [zf_stmt_52])).
28.56/28.76	tff(zf_stmt_50, axiom,
28.56/28.76	  (![B:$tType,A5:B]:
28.56/28.76	     (app_encode_app(fun(B,bool),fun(B,bool),collect(B),
28.56/28.76	                     app_encode_app(B,fun(B,bool),
28.56/28.76	                                    app_encode_app(fun(B,fun(B,bool)),
28.56/28.76	                                                   app_encode_fun(B,
28.56/28.76	                                                                  fun(B,bool)),
28.56/28.76	                                                   aa(B,fun(B,bool)),
28.56/28.76	                                                   fequal(B)),
28.56/28.76	                                    A5)) =
28.56/28.76	      app_encode_app(fun(B,bool),fun(B,bool),
28.56/28.76	                     app_encode_app(fun(fun(B,bool),fun(B,bool)),
28.56/28.76	                                    app_encode_fun(fun(B,bool),fun(B,bool)),
28.56/28.76	                                    aa(fun(B,bool),fun(B,bool)),
28.56/28.76	                                    app_encode_app(B,
28.56/28.76	                                                   fun(fun(B,bool),
28.56/28.76	                                                       fun(B,bool)),
28.56/28.76	                                                   app_encode_app(fun(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(B,bool),
28.56/28.76	                                                                  fun(B,bool))),
28.56/28.76	                                                                  app_encode_fun(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(B,bool),
28.56/28.76	                                                                  fun(B,bool))),
28.56/28.76	                                                                  aa(
28.56/28.76	                                                                  B,
28.56/28.76	                                                                  fun(
28.56/28.76	                                                                  fun(B,bool),
28.56/28.76	                                                                  fun(B,bool))),
28.56/28.76	                                                                  insert(B)),
28.56/28.76	                                                   A5)),
28.56/28.76	                     bot_bot(fun(B,bool)))))).
28.56/28.76	tff('2', plain,
28.56/28.76	    ![X24 : $tType, X25 : X24]:
28.56/28.76	      app_encode_app(fun(X24, bool), fun(X24, bool), collect(X24), 
28.63/28.76	        app_encode_app(X24, fun(X24, bool), 
28.63/28.76	          app_encode_app(fun(X24, fun(X24, bool)), 
28.63/28.76	            app_encode_fun(X24, fun(X24, bool)), aa(X24, fun(X24, bool)), 
28.63/28.76	            fequal(X24)), X25))
28.63/28.76	       = app_encode_app(fun(X24, bool), fun(X24, bool), 
28.63/28.76	           app_encode_app(fun(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	             app_encode_fun(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	             aa(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	             app_encode_app(X24, fun(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	               app_encode_app(fun(X24, fun(fun(X24, bool), fun(X24, bool))), 
28.63/28.76	                 app_encode_fun(X24, fun(fun(X24, bool), fun(X24, bool))), 
28.63/28.76	                 aa(X24, fun(fun(X24, bool), fun(X24, bool))), insert(X24)), 
28.63/28.76	               X25)), bot_bot(fun(X24, bool))),
28.63/28.76	    inference('cnf', [status(esa)], [zf_stmt_50])).
28.63/28.76	tff(zf_stmt_122, axiom,
28.63/28.76	  (![B:$tType,Pa:fun(B,bool)]:
28.63/28.76	     (app_encode_app(fun(B,bool),fun(B,bool),collect(B),Pa) = Pa))).
28.63/28.76	tff('3', plain,
28.63/28.76	    ![X299 : $tType, X300 : fun(X299, bool)]:
28.63/28.76	      app_encode_app(fun(X299, bool), fun(X299, bool), collect(X299), X300)
28.63/28.76	       = X300,
28.63/28.76	    inference('cnf', [status(esa)], [zf_stmt_122])).
28.63/28.76	tff('4', plain,
28.63/28.76	    ![X24 : $tType, X25 : X24]:
28.63/28.76	      app_encode_app(X24, fun(X24, bool), 
28.63/28.76	        app_encode_app(fun(X24, fun(X24, bool)), 
28.63/28.76	          app_encode_fun(X24, fun(X24, bool)), aa(X24, fun(X24, bool)), 
28.63/28.76	          fequal(X24)), X25)
28.63/28.76	       = app_encode_app(fun(X24, bool), fun(X24, bool), 
28.63/28.76	           app_encode_app(fun(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	             app_encode_fun(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	             aa(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	             app_encode_app(X24, fun(fun(X24, bool), fun(X24, bool)), 
28.63/28.76	               app_encode_app(fun(X24, fun(fun(X24, bool), fun(X24, bool))), 
28.63/28.76	                 app_encode_fun(X24, fun(fun(X24, bool), fun(X24, bool))), 
28.63/28.76	                 aa(X24, fun(fun(X24, bool), fun(X24, bool))), insert(X24)), 
28.63/28.76	               X25)), bot_bot(fun(X24, bool))),
28.63/28.76	    inference('demod', [status(thm)], ['2', '3'])).
28.63/28.76	tff('5', plain,
28.63/28.76	    ![X28 : $tType, X29 : fun(hoare_28830079triple(X28), bool), 
28.63/28.76	      X30 : fun(X28, fun(state, bool)), X31 : com, 
28.63/28.76	      X32 : fun(X28, fun(state, bool))]:
28.63/28.76	      (app_encode_app(fun(hoare_28830079triple(X28), bool), $o, 
28.63/28.76	         app_encode_app(fun(hoare_28830079triple(X28), bool), 
28.63/28.76	           app_encode_fun(fun(hoare_28830079triple(X28), bool), $o), 
28.63/28.76	           hoare_992312373derivs(X28), X29), 
28.63/28.76	         app_encode_app(hoare_28830079triple(X28), 
28.63/28.76	           fun(hoare_28830079triple(X28), bool), 
28.63/28.76	           app_encode_app(
28.63/28.76	             fun(hoare_28830079triple(X28), 
28.63/28.76	               fun(hoare_28830079triple(X28), bool)), 
28.63/28.76	             app_encode_fun(hoare_28830079triple(X28), 
28.63/28.76	               fun(hoare_28830079triple(X28), bool)), 
28.63/28.76	             aa(hoare_28830079triple(X28), 
28.63/28.76	               fun(hoare_28830079triple(X28), bool)), 
28.63/28.76	             fequal(hoare_28830079triple(X28))), 
28.63/28.76	           app_encode_app(fun(X28, fun(state, bool)), 
28.63/28.76	             hoare_28830079triple(X28), 
28.63/28.76	             app_encode_app(com, 
28.63/28.76	               app_encode_fun(fun(X28, fun(state, bool)), 
28.63/28.76	                 hoare_28830079triple(X28)), 
28.63/28.76	               app_encode_app(fun(X28, fun(state, bool)), 
28.63/28.76	                 app_encode_fun(com, 
28.63/28.76	                   app_encode_fun(fun(X28, fun(state, bool)), 
28.63/28.76	                     hoare_28830079triple(X28))), 
28.63/28.76	                 hoare_1841697145triple(X28), X30), X31), X32)))
28.63/28.76	       | app_encode_app(bool, $o, pp, 
28.63/28.76	           app_encode_app(state, bool, 
28.63/28.76	             app_encode_app(fun(state, bool), app_encode_fun(state, bool), 
28.63/28.76	               aa(state, bool), 
28.63/28.76	               app_encode_app(X28, fun(state, bool), 
28.63/28.76	                 app_encode_app(fun(X28, fun(state, bool)), 
28.63/28.76	                   app_encode_fun(X28, fun(state, bool)), 
28.63/28.76	                   aa(X28, fun(state, bool)), X30), 
28.63/28.76	                 sk_Z1(X28, X30, X29, X31, X32))), 
28.63/28.76	             sk_S(X28, X30, X29, X31, X32)))),
28.63/28.76	    inference('demod', [status(thm)], ['1', '4'])).
28.63/28.76	tff('6', plain,
28.63/28.76	    ![X0 : fun(state, bool), X1 : $tType, X2 : fun(X1, fun(state, bool)), 
28.63/28.76	      X3 : com, X4 : fun(hoare_28830079triple(X1), bool)]:
28.63/28.76	      (app_encode_app(bool, $o, pp, 
28.63/28.76	         app_encode_app(state, bool, 
28.63/28.76	           app_encode_app(fun(state, bool), app_encode_fun(state, bool), 
28.63/28.76	             aa(state, bool), X0), 
28.63/28.76	           sk_S(X1, 
28.63/28.76	             app_encode_app(fun(state, bool), fun(X1, fun(state, bool)), 
28.63/28.76	               combk(fun(state, bool), X1), X0), X4, X3, X2)))
28.63/28.76	       | app_encode_app(fun(hoare_28830079triple(X1), bool), $o, 
28.63/28.76	           app_encode_app(fun(hoare_28830079triple(X1), bool), 
28.63/28.76	             app_encode_fun(fun(hoare_28830079triple(X1), bool), $o), 
28.63/28.76	             hoare_992312373derivs(X1), X4), 
28.63/28.76	           app_encode_app(hoare_28830079triple(X1), 
28.63/28.76	             fun(hoare_28830079triple(X1), bool), 
28.63/28.76	             app_encode_app(
28.63/28.76	               fun(hoare_28830079triple(X1), 
28.63/28.76	                 fun(hoare_28830079triple(X1), bool)), 
28.63/28.76	               app_encode_fun(hoare_28830079triple(X1), 
28.63/28.76	                 fun(hoare_28830079triple(X1), bool)), 
28.63/28.76	               aa(hoare_28830079triple(X1), 
28.63/28.76	                 fun(hoare_28830079triple(X1), bool)), 
28.63/28.76	               fequal(hoare_28830079triple(X1))), 
28.63/28.76	             app_encode_app(fun(X1, fun(state, bool)), 
28.63/28.76	               hoare_28830079triple(X1), 
28.63/28.76	               app_encode_app(com, 
28.63/28.76	                 app_encode_fun(fun(X1, fun(state, bool)), 
28.63/28.76	                   hoare_28830079triple(X1)), 
28.63/28.76	                 app_encode_app(fun(X1, fun(state, bool)), 
28.63/28.76	                   app_encode_fun(com, 
28.63/28.76	                     app_encode_fun(fun(X1, fun(state, bool)), 
28.63/28.76	                       hoare_28830079triple(X1))), 
28.63/28.76	                   hoare_1841697145triple(X1), 
28.63/28.76	                   app_encode_app(fun(state, bool), 
28.63/28.76	                     fun(X1, fun(state, bool)), combk(fun(state, bool), X1), 
28.63/28.76	                     X0)), X3), X2)))),
28.63/28.76	    inference('sup+', [status(thm)], ['0', '5'])).
28.63/28.76	tff(zf_stmt_170, conjecture,
28.63/28.76	  (app_encode_app(fun(hoare_28830079triple(a),bool),$o,
28.63/28.76	                  app_encode_app(fun(hoare_28830079triple(a),bool),
28.63/28.76	                                 app_encode_fun(fun(hoare_28830079triple(a),
28.63/28.76	                                                    bool),
28.63/28.76	                                                $o),
28.63/28.76	                                 hoare_992312373derivs(a),g),
28.63/28.76	                  app_encode_app(fun(hoare_28830079triple(a),bool),
28.63/28.76	                                 fun(hoare_28830079triple(a),bool),
28.63/28.76	                                 app_encode_app(fun(fun(hoare_28830079triple(
28.63/28.76	                                                        a),bool),
28.63/28.76	                                                    fun(hoare_28830079triple(
28.63/28.76	                                                        a),bool)),
28.63/28.76	                                                app_encode_fun(fun(hoare_28830079triple(
28.63/28.76	                                                                   a),bool),
28.63/28.76	                                                               fun(hoare_28830079triple(
28.63/28.76	                                                                   a),bool)),
28.63/28.76	                                                aa(fun(hoare_28830079triple(
28.63/28.76	                                                       a),bool),
28.63/28.76	                                                   fun(hoare_28830079triple(
28.63/28.76	                                                       a),bool)),
28.63/28.76	                                                app_encode_app(hoare_28830079triple(
28.63/28.76	                                                               a),
28.63/28.76	                                                               fun(fun(
28.63/28.76	                                                                   hoare_28830079triple(
28.63/28.76	                                                                   a),bool),
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   hoare_28830079triple(
28.63/28.76	                                                                   a),bool)),
28.63/28.76	                                                               app_encode_app(
28.63/28.76	                                                               fun(hoare_28830079triple(
28.63/28.76	                                                                   a),
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   hoare_28830079triple(
28.63/28.76	                                                                   a),bool),
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   hoare_28830079triple(
28.63/28.76	                                                                   a),bool))),
28.63/28.76	                                                               app_encode_fun(
28.63/28.76	                                                               hoare_28830079triple(
28.63/28.76	                                                               a),
28.63/28.76	                                                               fun(fun(
28.63/28.76	                                                                   hoare_28830079triple(
28.63/28.76	                                                                   a),bool),
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   hoare_28830079triple(
28.63/28.76	                                                                   a),bool))),
28.63/28.76	                                                               aa(hoare_28830079triple(
28.63/28.76	                                                                  a),
28.63/28.76	                                                                  fun(
28.63/28.76	                                                                  fun(
28.63/28.76	                                                                  hoare_28830079triple(
28.63/28.76	                                                                  a),bool),
28.63/28.76	                                                                  fun(
28.63/28.76	                                                                  hoare_28830079triple(
28.63/28.76	                                                                  a),bool))),
28.63/28.76	                                                               insert(
28.63/28.76	                                                               hoare_28830079triple(
28.63/28.76	                                                               a))),
28.63/28.76	                                                               app_encode_app(
28.63/28.76	                                                               fun(a,
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   state,bool)),
28.63/28.76	                                                               hoare_28830079triple(
28.63/28.76	                                                               a),
28.63/28.76	                                                               app_encode_app(
28.63/28.76	                                                               com,
28.63/28.76	                                                               app_encode_fun(
28.63/28.76	                                                               fun(a,
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   state,bool)),
28.63/28.76	                                                               hoare_28830079triple(
28.63/28.76	                                                               a)),
28.63/28.76	                                                               app_encode_app(
28.63/28.76	                                                               fun(a,
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   state,bool)),
28.63/28.76	                                                               app_encode_fun(
28.63/28.76	                                                               com,
28.63/28.76	                                                               app_encode_fun(
28.63/28.76	                                                               fun(a,
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   state,bool)),
28.63/28.76	                                                               hoare_28830079triple(
28.63/28.76	                                                               a))),
28.63/28.76	                                                               hoare_1841697145triple(
28.63/28.76	                                                               a),
28.63/28.76	                                                               app_encode_app(
28.63/28.76	                                                               fun(state,bool),
28.63/28.76	                                                               fun(a,
28.63/28.76	                                                                   fun(
28.63/28.76	                                                                   state,bool)),
28.63/28.76	                                                               combk(
28.63/28.76	                                                               fun(state,bool),
28.63/28.76	                                                               a),
28.63/28.76	                                                               app_encode_app(
28.63/28.76	                                                               bool,
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               combk(
28.63/28.77	                                                               bool,state),
28.63/28.77	                                                               fFalse))),c),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               app_encode_fun(
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               aa(fun(
28.63/28.77	                                                                  state,bool),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                               app_encode_fun(
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                               aa(fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool))),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool)))),
28.63/28.77	                                                               combc(
28.63/28.77	                                                               a,
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               fun(state,bool))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                               app_encode_fun(
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                               aa(fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  bool,bool))),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool)))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                               combb(
28.63/28.77	                                                               fun(state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                               a),
28.63/28.77	                                                               combs(
28.63/28.77	                                                               state,bool,
28.63/28.77	                                                               bool))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)))),
28.63/28.77	                                                               app_encode_fun(
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                               fun(a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)))),
28.63/28.77	                                                               aa(fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool)),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  a,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  bool,bool)))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)))),
28.63/28.77	                                                               combb(
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               fun(state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)),
28.63/28.77	                                                               a),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(bool,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                               combb(
28.63/28.77	                                                               bool,
28.63/28.77	                                                               fun(bool,bool),
28.63/28.77	                                                               state),fconj))),
28.63/28.77	                                                               p)))),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                               app_encode_fun(
28.63/28.77	                                                               fun(state,bool),
28.63/28.77	                                                               fun(state,bool)),
28.63/28.77	                                                               aa(fun(
28.63/28.77	                                                                  state,bool),
28.63/28.77	                                                                  fun(
28.63/28.77	                                                                  state,bool)),
28.63/28.77	                                                               app_encode_app(
28.63/28.77	                                                               fun(bool,bool),
28.63/28.77	                                                               fun(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                               combb(
28.63/28.77	                                                               bool,bool,
28.63/28.77	                                                               state),fNot)),
28.63/28.77	                                                               b))))),
28.63/28.77	                                 bot_bot(fun(hoare_28830079triple(a),bool)))))).
28.63/28.77	tff(zf_stmt_0, negated_conjecture,
28.63/28.77	  (~
28.63/28.77	    app_encode_app(fun(hoare_28830079triple(a),bool),$o,
28.63/28.77	                   app_encode_app(fun(hoare_28830079triple(a),bool),
28.63/28.77	                                  app_encode_fun(fun(hoare_28830079triple(a),
28.63/28.77	                                                     bool),
28.63/28.77	                                                 $o),
28.63/28.77	                                  hoare_992312373derivs(a),g),
28.63/28.77	                   app_encode_app(fun(hoare_28830079triple(a),bool),
28.63/28.77	                                  fun(hoare_28830079triple(a),bool),
28.63/28.77	                                  app_encode_app(fun(fun(hoare_28830079triple(
28.63/28.77	                                                         a),bool),
28.63/28.77	                                                     fun(hoare_28830079triple(
28.63/28.77	                                                         a),bool)),
28.63/28.77	                                                 app_encode_fun(fun(hoare_28830079triple(
28.63/28.77	                                                                    a),bool),
28.63/28.77	                                                                fun(hoare_28830079triple(
28.63/28.77	                                                                    a),bool)),
28.63/28.77	                                                 aa(fun(hoare_28830079triple(
28.63/28.77	                                                        a),bool),
28.63/28.77	                                                    fun(hoare_28830079triple(
28.63/28.77	                                                        a),bool)),
28.63/28.77	                                                 app_encode_app(hoare_28830079triple(
28.63/28.77	                                                                a),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    hoare_28830079triple(
28.63/28.77	                                                                    a),bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    hoare_28830079triple(
28.63/28.77	                                                                    a),bool)),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(hoare_28830079triple(
28.63/28.77	                                                                    a),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    hoare_28830079triple(
28.63/28.77	                                                                    a),bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    hoare_28830079triple(
28.63/28.77	                                                                    a),bool))),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                hoare_28830079triple(
28.63/28.77	                                                                a),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    hoare_28830079triple(
28.63/28.77	                                                                    a),bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    hoare_28830079triple(
28.63/28.77	                                                                    a),bool))),
28.63/28.77	                                                                aa(hoare_28830079triple(
28.63/28.77	                                                                   a),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   hoare_28830079triple(
28.63/28.77	                                                                   a),bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   hoare_28830079triple(
28.63/28.77	                                                                   a),bool))),
28.63/28.77	                                                                insert(
28.63/28.77	                                                                hoare_28830079triple(
28.63/28.77	                                                                a))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                hoare_28830079triple(
28.63/28.77	                                                                a),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                com,
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                hoare_28830079triple(
28.63/28.77	                                                                a)),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                com,
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                hoare_28830079triple(
28.63/28.77	                                                                a))),
28.63/28.77	                                                                hoare_1841697145triple(
28.63/28.77	                                                                a),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                combk(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                a),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                bool,
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                combk(
28.63/28.77	                                                                bool,state),
28.63/28.77	                                                                fFalse))),c),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                aa(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)))),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)))),
28.63/28.77	                                                                aa(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool))),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                                combc(
28.63/28.77	                                                                a,
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)))),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)))),
28.63/28.77	                                                                aa(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool))),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool))),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)))),
28.63/28.77	                                                                combb(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                a),
28.63/28.77	                                                                combs(
28.63/28.77	                                                                state,bool,
28.63/28.77	                                                                bool))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)))),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                fun(a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)))),
28.63/28.77	                                                                aa(fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   a,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   bool,bool)))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    a,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)))),
28.63/28.77	                                                                combb(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)),
28.63/28.77	                                                                a),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(bool,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool)),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    bool,bool))),
28.63/28.77	                                                                combb(
28.63/28.77	                                                                bool,
28.63/28.77	                                                                fun(bool,bool),
28.63/28.77	                                                                state),fconj))),
28.63/28.77	                                                                p)))),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                app_encode_fun(
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                fun(state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                aa(fun(
28.63/28.77	                                                                   state,bool),
28.63/28.77	                                                                   fun(
28.63/28.77	                                                                   state,bool)),
28.63/28.77	                                                                app_encode_app(
28.63/28.77	                                                                fun(bool,bool),
28.63/28.77	                                                                fun(fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool),
28.63/28.77	                                                                    fun(
28.63/28.77	                                                                    state,
28.63/28.77	                                                                    bool)),
28.63/28.77	                                                                combb(
28.63/28.77	                                                                bool,bool,
28.63/28.77	                                                                state),fNot)),
28.63/28.77	                                                                b))))),
28.63/28.77	                                  bot_bot(fun(hoare_28830079triple(a),bool)))))).
28.63/28.77	tff('7', plain,
28.63/28.77	    ~ app_encode_app(fun(hoare_28830079triple(a), bool), $o, 
28.63/28.77	        app_encode_app(fun(hoare_28830079triple(a), bool), 
28.63/28.77	          app_encode_fun(fun(hoare_28830079triple(a), bool), $o), 
28.63/28.77	          hoare_992312373derivs(a), g), 
28.63/28.77	        app_encode_app(fun(hoare_28830079triple(a), bool), 
28.63/28.77	          fun(hoare_28830079triple(a), bool), 
28.63/28.77	          app_encode_app(
28.63/28.77	            fun(fun(hoare_28830079triple(a), bool), 
28.63/28.77	              fun(hoare_28830079triple(a), bool)), 
28.63/28.77	            app_encode_fun(fun(hoare_28830079triple(a), bool), 
28.63/28.77	              fun(hoare_28830079triple(a), bool)), 
28.63/28.77	            aa(fun(hoare_28830079triple(a), bool), 
28.63/28.77	              fun(hoare_28830079triple(a), bool)), 
28.63/28.77	            app_encode_app(hoare_28830079triple(a), 
28.63/28.77	              fun(fun(hoare_28830079triple(a), bool), 
28.63/28.77	                fun(hoare_28830079triple(a), bool)), 
28.63/28.77	              app_encode_app(
28.63/28.77	                fun(hoare_28830079triple(a), 
28.63/28.77	                  fun(fun(hoare_28830079triple(a), bool), 
28.63/28.77	                    fun(hoare_28830079triple(a), bool))), 
28.63/28.77	                app_encode_fun(hoare_28830079triple(a), 
28.63/28.77	                  fun(fun(hoare_28830079triple(a), bool), 
28.63/28.77	                    fun(hoare_28830079triple(a), bool))), 
28.63/28.77	                aa(hoare_28830079triple(a), 
28.63/28.77	                  fun(fun(hoare_28830079triple(a), bool), 
28.63/28.77	                    fun(hoare_28830079triple(a), bool))), 
28.63/28.77	                insert(hoare_28830079triple(a))), 
28.63/28.77	              app_encode_app(fun(a, fun(state, bool)), 
28.63/28.77	                hoare_28830079triple(a), 
28.63/28.77	                app_encode_app(com, 
28.63/28.77	                  app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                    hoare_28830079triple(a)), 
28.63/28.77	                  app_encode_app(fun(a, fun(state, bool)), 
28.63/28.77	                    app_encode_fun(com, 
28.63/28.77	                      app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                        hoare_28830079triple(a))), 
28.63/28.77	                    hoare_1841697145triple(a), 
28.63/28.77	                    app_encode_app(fun(state, bool), 
28.63/28.77	                      fun(a, fun(state, bool)), combk(fun(state, bool), a), 
28.63/28.77	                      app_encode_app(bool, fun(state, bool), 
28.63/28.77	                        combk(bool, state), fFalse))), c), 
28.63/28.77	                app_encode_app(fun(state, bool), fun(a, fun(state, bool)), 
28.63/28.77	                  app_encode_app(
28.63/28.77	                    fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                    app_encode_fun(fun(state, bool), 
28.63/28.77	                      fun(a, fun(state, bool))), 
28.63/28.77	                    aa(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                    app_encode_app(
28.63/28.77	                      fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                      fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                      app_encode_app(
28.63/28.77	                        fun(fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                          fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                        app_encode_fun(
28.63/28.77	                          fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                          fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                        aa(fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                          fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                        combc(a, fun(state, bool), fun(state, bool))), 
28.63/28.77	                      app_encode_app(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                        fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                        app_encode_app(
28.63/28.77	                          fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                            fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                          app_encode_fun(
28.63/28.77	                            fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                            fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                          aa(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                            fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                          app_encode_app(
28.63/28.77	                            fun(fun(state, fun(bool, bool)), 
28.63/28.77	                              fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                            fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                              fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                            combb(fun(state, fun(bool, bool)), 
28.63/28.77	                              fun(fun(state, bool), fun(state, bool)), a), 
28.63/28.77	                            combs(state, bool, bool))), 
28.63/28.77	                        app_encode_app(fun(a, fun(state, bool)), 
28.63/28.77	                          fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                          app_encode_app(
28.63/28.77	                            fun(fun(a, fun(state, bool)), 
28.63/28.77	                              fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                            app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                              fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                            aa(fun(a, fun(state, bool)), 
28.63/28.77	                              fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                            app_encode_app(
28.63/28.77	                              fun(fun(state, bool), 
28.63/28.77	                                fun(state, fun(bool, bool))), 
28.63/28.77	                              fun(fun(a, fun(state, bool)), 
28.63/28.77	                                fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                              combb(fun(state, bool), 
28.63/28.77	                                fun(state, fun(bool, bool)), a), 
28.63/28.77	                              app_encode_app(fun(bool, fun(bool, bool)), 
28.63/28.77	                                fun(fun(state, bool), 
28.63/28.77	                                  fun(state, fun(bool, bool))), 
28.63/28.77	                                combb(bool, fun(bool, bool), state), fconj))), 
28.63/28.77	                          p)))), 
28.63/28.77	                  app_encode_app(fun(state, bool), fun(state, bool), 
28.63/28.77	                    app_encode_app(fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                      app_encode_fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                      aa(fun(state, bool), fun(state, bool)), 
28.63/28.77	                      app_encode_app(fun(bool, bool), 
28.63/28.77	                        fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                        combb(bool, bool, state), fNot)), b))))), 
28.63/28.77	          bot_bot(fun(hoare_28830079triple(a), bool)))),
28.63/28.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
28.63/28.77	tff(zf_stmt_67, axiom,
28.63/28.77	  (![B:$tType]:
28.63/28.77	     (bot_bot(fun(B,bool)) =
28.63/28.77	      app_encode_app(fun(B,bool),fun(B,bool),collect(B),
28.63/28.77	                     app_encode_app(bool,fun(B,bool),combk(bool,B),fFalse))))).
28.63/28.77	tff('8', plain,
28.63/28.77	    ![X92 : $tType]:
28.63/28.77	      bot_bot(fun(X92, bool))
28.63/28.77	       = app_encode_app(fun(X92, bool), fun(X92, bool), collect(X92), 
28.63/28.77	           app_encode_app(bool, fun(X92, bool), combk(bool, X92), fFalse)),
28.63/28.77	    inference('cnf', [status(esa)], [zf_stmt_67])).
28.63/28.77	tff('9', plain,
28.63/28.77	    ![X92 : $tType]:
28.63/28.77	      bot_bot(fun(X92, bool))
28.63/28.77	       = app_encode_app(bool, fun(X92, bool), combk(bool, X92), fFalse),
28.63/28.77	    inference('demod', [status(thm)], ['8', '3'])).
28.63/28.77	tff('10', plain,
28.63/28.77	    ~ app_encode_app(fun(hoare_28830079triple(a), bool), $o, 
28.63/28.77	        app_encode_app(fun(hoare_28830079triple(a), bool), 
28.63/28.77	          app_encode_fun(fun(hoare_28830079triple(a), bool), $o), 
28.63/28.77	          hoare_992312373derivs(a), g), 
28.63/28.77	        app_encode_app(hoare_28830079triple(a), 
28.63/28.77	          fun(hoare_28830079triple(a), bool), 
28.63/28.77	          app_encode_app(
28.63/28.77	            fun(hoare_28830079triple(a), fun(hoare_28830079triple(a), bool)), 
28.63/28.77	            app_encode_fun(hoare_28830079triple(a), 
28.63/28.77	              fun(hoare_28830079triple(a), bool)), 
28.63/28.77	            aa(hoare_28830079triple(a), fun(hoare_28830079triple(a), bool)), 
28.63/28.77	            fequal(hoare_28830079triple(a))), 
28.63/28.77	          app_encode_app(fun(a, fun(state, bool)), hoare_28830079triple(a), 
28.63/28.77	            app_encode_app(com, 
28.63/28.77	              app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                hoare_28830079triple(a)), 
28.63/28.77	              app_encode_app(fun(a, fun(state, bool)), 
28.63/28.77	                app_encode_fun(com, 
28.63/28.77	                  app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                    hoare_28830079triple(a))), hoare_1841697145triple(a), 
28.63/28.77	                app_encode_app(fun(state, bool), fun(a, fun(state, bool)), 
28.63/28.77	                  combk(fun(state, bool), a), bot_bot(fun(state, bool)))), c), 
28.63/28.77	            app_encode_app(fun(state, bool), fun(a, fun(state, bool)), 
28.63/28.77	              app_encode_app(
28.63/28.77	                fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                app_encode_fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                aa(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                app_encode_app(
28.63/28.77	                  fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                  fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                  app_encode_app(
28.63/28.77	                    fun(fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                      fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                    app_encode_fun(
28.63/28.77	                      fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                      fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                    aa(fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                      fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                    combc(a, fun(state, bool), fun(state, bool))), 
28.63/28.77	                  app_encode_app(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                    fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                    app_encode_app(
28.63/28.77	                      fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                        fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                      app_encode_fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                        fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                      aa(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                        fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                      app_encode_app(
28.63/28.77	                        fun(fun(state, fun(bool, bool)), 
28.63/28.77	                          fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                        fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                          fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                        combb(fun(state, fun(bool, bool)), 
28.63/28.77	                          fun(fun(state, bool), fun(state, bool)), a), 
28.63/28.77	                        combs(state, bool, bool))), 
28.63/28.77	                    app_encode_app(fun(a, fun(state, bool)), 
28.63/28.77	                      fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                      app_encode_app(
28.63/28.77	                        fun(fun(a, fun(state, bool)), 
28.63/28.77	                          fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                        app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                          fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                        aa(fun(a, fun(state, bool)), 
28.63/28.77	                          fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                        app_encode_app(
28.63/28.77	                          fun(fun(state, bool), fun(state, fun(bool, bool))), 
28.63/28.77	                          fun(fun(a, fun(state, bool)), 
28.63/28.77	                            fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                          combb(fun(state, bool), 
28.63/28.77	                            fun(state, fun(bool, bool)), a), 
28.63/28.77	                          app_encode_app(fun(bool, fun(bool, bool)), 
28.63/28.77	                            fun(fun(state, bool), 
28.63/28.77	                              fun(state, fun(bool, bool))), 
28.63/28.77	                            combb(bool, fun(bool, bool), state), fconj))), p)))), 
28.63/28.77	              app_encode_app(fun(state, bool), fun(state, bool), 
28.63/28.77	                app_encode_app(fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                  app_encode_fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                  aa(fun(state, bool), fun(state, bool)), 
28.63/28.77	                  app_encode_app(fun(bool, bool), 
28.63/28.77	                    fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                    combb(bool, bool, state), fNot)), b))))),
28.63/28.77	    inference('demod', [status(thm)], ['7', '9', '4'])).
28.63/28.77	tff('11', plain,
28.63/28.77	    (~ $true
28.63/28.77	     | app_encode_app(bool, $o, pp, 
28.63/28.77	         app_encode_app(state, bool, 
28.63/28.77	           app_encode_app(fun(state, bool), app_encode_fun(state, bool), 
28.63/28.77	             aa(state, bool), bot_bot(fun(state, bool))), 
28.63/28.77	           sk_S(a, 
28.63/28.77	             app_encode_app(fun(state, bool), fun(a, fun(state, bool)), 
28.63/28.77	               combk(fun(state, bool), a), bot_bot(fun(state, bool))), g, c, 
28.63/28.77	             app_encode_app(fun(state, bool), fun(a, fun(state, bool)), 
28.63/28.77	               app_encode_app(
28.63/28.77	                 fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                 app_encode_fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                 aa(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                 app_encode_app(
28.63/28.77	                   fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                   fun(fun(state, bool), fun(a, fun(state, bool))), 
28.63/28.77	                   app_encode_app(
28.63/28.77	                     fun(fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                       fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                     app_encode_fun(
28.63/28.77	                       fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                       fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                     aa(fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                       fun(fun(state, bool), fun(a, fun(state, bool)))), 
28.63/28.77	                     combc(a, fun(state, bool), fun(state, bool))), 
28.63/28.77	                   app_encode_app(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                     fun(a, fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                     app_encode_app(
28.63/28.77	                       fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                         fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                       app_encode_fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                         fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                       aa(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                         fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                       app_encode_app(
28.63/28.77	                         fun(fun(state, fun(bool, bool)), 
28.63/28.77	                           fun(fun(state, bool), fun(state, bool))), 
28.63/28.77	                         fun(fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                           fun(a, fun(fun(state, bool), fun(state, bool)))), 
28.63/28.77	                         combb(fun(state, fun(bool, bool)), 
28.63/28.77	                           fun(fun(state, bool), fun(state, bool)), a), 
28.63/28.77	                         combs(state, bool, bool))), 
28.63/28.77	                     app_encode_app(fun(a, fun(state, bool)), 
28.63/28.77	                       fun(a, fun(state, fun(bool, bool))), 
28.63/28.77	                       app_encode_app(
28.63/28.77	                         fun(fun(a, fun(state, bool)), 
28.63/28.77	                           fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                         app_encode_fun(fun(a, fun(state, bool)), 
28.63/28.77	                           fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                         aa(fun(a, fun(state, bool)), 
28.63/28.77	                           fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                         app_encode_app(
28.63/28.77	                           fun(fun(state, bool), fun(state, fun(bool, bool))), 
28.63/28.77	                           fun(fun(a, fun(state, bool)), 
28.63/28.77	                             fun(a, fun(state, fun(bool, bool)))), 
28.63/28.77	                           combb(fun(state, bool), 
28.63/28.77	                             fun(state, fun(bool, bool)), a), 
28.63/28.77	                           app_encode_app(fun(bool, fun(bool, bool)), 
28.63/28.77	                             fun(fun(state, bool), 
28.63/28.77	                               fun(state, fun(bool, bool))), 
28.63/28.77	                             combb(bool, fun(bool, bool), state), fconj))), 
28.63/28.77	                       p)))), 
28.63/28.77	               app_encode_app(fun(state, bool), fun(state, bool), 
28.63/28.77	                 app_encode_app(fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                   app_encode_fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                   aa(fun(state, bool), fun(state, bool)), 
28.63/28.77	                   app_encode_app(fun(bool, bool), 
28.63/28.77	                     fun(fun(state, bool), fun(state, bool)), 
28.63/28.77	                     combb(bool, bool, state), fNot)), b)))))),
28.63/28.77	    inference('sup-', [status(thm)], ['6', '10'])).
28.63/28.77	tff('12', plain,
28.63/28.77	    ![X0 : $tType, X1 : X0]:
28.63/28.77	      app_encode_app(X0, bool, 
28.63/28.77	        app_encode_app(fun(X0, bool), app_encode_fun(X0, bool), 
28.63/28.77	          aa(X0, bool), bot_bot(fun(X0, bool))), X1)
28.63/28.77	       = fFalse,
28.63/28.77	    inference('sup+', [status(thm)], ['9', '0'])).
28.63/28.77	tff('13', plain, (~ $true | app_encode_app(bool, $o, pp, fFalse)),
28.63/28.77	    inference('demod', [status(thm)], ['11', '12'])).
28.63/28.77	tff('14', plain, app_encode_app(bool, $o, pp, fFalse),
28.63/28.77	    inference('simplify', [status(thm)], ['13'])).
28.63/28.77	tff(zf_stmt_149, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
28.63/28.77	tff('15', plain, ~ app_encode_app(bool, $o, pp, fFalse),
28.63/28.77	    inference('cnf', [status(esa)], [zf_stmt_149])).
28.63/28.77	tff('16', plain, ~ $true, inference('sup-', [status(thm)], ['14', '15'])).
28.63/28.77	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
28.63/28.77	
28.63/28.77	% SZS output end Refutation
28.63/28.77	EOF
