0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n132.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:27:38 CST 2018
91.94/91.95	% done 13926 iterations in 91.752s
91.94/91.95	% SZS status Theorem for 'stdin'
91.94/91.95	% SZS output start Refutation
91.94/91.95	tff(zf_stmt_2171, axiom,
91.94/91.95	  (![P:fun_state_bool,Q:x_a]:
91.94/91.95	     (app_encode_app(x_a,fun_state_bool,
91.94/91.95	                     app_encode_app(fun_a_fun_state_bool,
91.94/91.95	                                    app_encode_fun(x_a,fun_state_bool),
91.94/91.95	                                    hAPP_a2036067514e_bool,
91.94/91.95	                                    app_encode_app(fun_state_bool,
91.94/91.95	                                                   fun_a_fun_state_bool,
91.94/91.95	                                                   app_encode_app(fun_fu281355805e_bool,
91.94/91.95	                                                                  app_encode_fun(
91.94/91.95	                                                                  fun_state_bool,
91.94/91.95	                                                                  fun_a_fun_state_bool),
91.94/91.95	                                                                  hAPP_f762886889e_bool,
91.94/91.95	                                                                  cOMBK_1458035955bool_a),
91.94/91.95	                                                   P)),
91.94/91.95	                     Q) =
91.94/91.96	      P))).
91.94/91.96	tff('0', plain,
91.94/91.96	    ![X3546 : fun_state_bool, X3547 : x_a]:
91.94/91.96	      app_encode_app(x_a, fun_state_bool, 
91.94/91.96	        app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	          app_encode_fun(x_a, fun_state_bool), hAPP_a2036067514e_bool, 
91.94/91.96	          app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	            app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	              app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	              hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X3546)), X3547)
91.94/91.96	       = X3546,
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_2171])).
91.94/91.96	tff(zf_stmt_925, axiom,
91.94/91.96	  (![Ga:fun_Ho882550911a_bool,Ca:com,Q_1:fun_a_fun_state_bool,
91.94/91.96	     Pa:fun_a_fun_state_bool]:
91.94/91.96	     ((![Z_11:x_a,S_2:state]:
91.94/91.96	         (app_encode_app(bool,$o,hBOOL,
91.94/91.96	                         app_encode_app(state,bool,
91.94/91.96	                                        app_encode_app(fun_state_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       state,bool),
91.94/91.96	                                                       hAPP_state_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       x_a,fun_state_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       x_a,fun_state_bool),
91.94/91.96	                                                       hAPP_a2036067514e_bool,
91.94/91.96	                                                       Pa),Z_11)),
91.94/91.96	                                        S_2)) =>
91.94/91.96	          app_encode_app(bool,$o,hBOOL,
91.94/91.96	                         app_encode_app(fun_Ho882550911a_bool,bool,
91.94/91.96	                                        app_encode_app(fun_fu2026518849l_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_Ho882550911a_bool,
91.94/91.96	                                                       bool),
91.94/91.96	                                                       hAPP_f500854239l_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_Ho882550911a_bool,
91.94/91.96	                                                       fun_fu2026518849l_bool,
91.94/91.96	                                                       hoare_572465367rivs_a,
91.94/91.96	                                                       Ga)),
91.94/91.96	                                        app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                       fun_Ho882550911a_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_fu1663341283a_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_Ho882550911a_bool,
91.94/91.96	                                                       fun_Ho882550911a_bool),
91.94/91.96	                                                       hAPP_f642208769a_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       hoare_2076525193iple_a,
91.94/91.96	                                                       fun_fu1663341283a_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_Ho112928087a_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       hoare_2076525193iple_a,
91.94/91.96	                                                       fun_fu1663341283a_bool),
91.94/91.96	                                                       hAPP_H1940471919a_bool,
91.94/91.96	                                                       insert1582918915iple_a),
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       hoare_2076525193iple_a,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       com,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       hoare_2076525193iple_a),
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       com,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       hoare_2076525193iple_a)),
91.94/91.96	                                                       hoare_1876769875iple_a,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_state_bool,
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_fu281355805e_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_state_bool,
91.94/91.96	                                                       fun_a_fun_state_bool),
91.94/91.96	                                                       hAPP_f762886889e_bool,
91.94/91.96	                                                       cOMBK_1458035955bool_a),
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       state,fun_state_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_st1506752259e_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       state,fun_state_bool),
91.94/91.96	                                                       hAPP_s1806633685e_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_st1506752259e_bool,
91.94/91.96	                                                       fun_st1506752259e_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_fu402792811e_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_st1506752259e_bool,
91.94/91.96	                                                       fun_st1506752259e_bool),
91.94/91.96	                                                       hAPP_f817621513e_bool,
91.94/91.96	                                                       cOMBC_2027030106e_bool),
91.94/91.96	                                                       fequal_state)),S_2))),
91.94/91.96	                                                       Ca),
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_state_bool,
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_fu281355805e_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       fun_state_bool,
91.94/91.96	                                                       fun_a_fun_state_bool),
91.94/91.96	                                                       hAPP_f762886889e_bool,
91.94/91.96	                                                       cOMBK_1458035955bool_a),
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       x_a,fun_state_bool,
91.94/91.96	                                                       app_encode_app(
91.94/91.96	                                                       fun_a_fun_state_bool,
91.94/91.96	                                                       app_encode_fun(
91.94/91.96	                                                       x_a,fun_state_bool),
91.94/91.96	                                                       hAPP_a2036067514e_bool,
91.94/91.96	                                                       Q_1),Z_11))))),
91.94/91.96	                                                       bot_bo214064617a_bool))))) =>
91.94/91.96	      app_encode_app(bool,$o,hBOOL,
91.94/91.96	                     app_encode_app(fun_Ho882550911a_bool,bool,
91.94/91.96	                                    app_encode_app(fun_fu2026518849l_bool,
91.94/91.96	                                                   app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                                  bool),
91.94/91.96	                                                   hAPP_f500854239l_bool,
91.94/91.96	                                                   app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                                  fun_fu2026518849l_bool,
91.94/91.96	                                                                  hoare_572465367rivs_a,
91.94/91.96	                                                                  Ga)),
91.94/91.96	                                    app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                   fun_Ho882550911a_bool,
91.94/91.96	                                                   app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  fun_Ho882550911a_bool,
91.94/91.96	                                                                  fun_Ho882550911a_bool),
91.94/91.96	                                                                  hAPP_f642208769a_bool,
91.94/91.96	                                                                  app_encode_app(
91.94/91.96	                                                                  hoare_2076525193iple_a,
91.94/91.96	                                                                  fun_fu1663341283a_bool,
91.94/91.96	                                                                  app_encode_app(
91.94/91.96	                                                                  fun_Ho112928087a_bool,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  hoare_2076525193iple_a,
91.94/91.96	                                                                  fun_fu1663341283a_bool),
91.94/91.96	                                                                  hAPP_H1940471919a_bool,
91.94/91.96	                                                                  insert1582918915iple_a),
91.94/91.96	                                                                  app_encode_app(
91.94/91.96	                                                                  fun_a_fun_state_bool,
91.94/91.96	                                                                  hoare_2076525193iple_a,
91.94/91.96	                                                                  app_encode_app(
91.94/91.96	                                                                  com,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  fun_a_fun_state_bool,
91.94/91.96	                                                                  hoare_2076525193iple_a),
91.94/91.96	                                                                  app_encode_app(
91.94/91.96	                                                                  fun_a_fun_state_bool,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  com,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  fun_a_fun_state_bool,
91.94/91.96	                                                                  hoare_2076525193iple_a)),
91.94/91.96	                                                                  hoare_1876769875iple_a,
91.94/91.96	                                                                  Pa),Ca),Q_1))),
91.94/91.96	                                                   bot_bo214064617a_bool)))))).
91.94/91.96	tff('1', plain,
91.94/91.96	    ![X23 : fun_Ho882550911a_bool, X24 : fun_a_fun_state_bool, X25 : com, 
91.94/91.96	      X26 : fun_a_fun_state_bool]:
91.94/91.96	      (app_encode_app(bool, $o, hBOOL, 
91.94/91.96	         app_encode_app(fun_Ho882550911a_bool, bool, 
91.94/91.96	           app_encode_app(fun_fu2026518849l_bool, 
91.94/91.96	             app_encode_fun(fun_Ho882550911a_bool, bool), 
91.94/91.96	             hAPP_f500854239l_bool, 
91.94/91.96	             app_encode_app(fun_Ho882550911a_bool, fun_fu2026518849l_bool, 
91.94/91.96	               hoare_572465367rivs_a, X23)), 
91.94/91.96	           app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	             app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	               app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	               hAPP_f642208769a_bool, 
91.94/91.96	               app_encode_app(hoare_2076525193iple_a, 
91.94/91.96	                 fun_fu1663341283a_bool, 
91.94/91.96	                 app_encode_app(fun_Ho112928087a_bool, 
91.94/91.96	                   app_encode_fun(hoare_2076525193iple_a, 
91.94/91.96	                     fun_fu1663341283a_bool), hAPP_H1940471919a_bool, 
91.94/91.96	                   insert1582918915iple_a), 
91.94/91.96	                 app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                   hoare_2076525193iple_a, 
91.94/91.96	                   app_encode_app(com, 
91.94/91.96	                     app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                       hoare_2076525193iple_a), 
91.94/91.96	                     app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                       app_encode_fun(com, 
91.94/91.96	                         app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                           hoare_2076525193iple_a)), hoare_1876769875iple_a, 
91.94/91.96	                       X24), X25), X26))), bot_bo214064617a_bool)))
91.94/91.96	       | app_encode_app(bool, $o, hBOOL, 
91.94/91.96	           app_encode_app(state, bool, 
91.94/91.96	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
91.94/91.96	               hAPP_state_bool, 
91.94/91.96	               app_encode_app(x_a, fun_state_bool, 
91.94/91.96	                 app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                   app_encode_fun(x_a, fun_state_bool), 
91.94/91.96	                   hAPP_a2036067514e_bool, X24), sk_Z_11(X24, X26, X25, X23))), 
91.94/91.96	             sk_S_2(X24, X26, X25, X23)))),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_925])).
91.94/91.96	tff('2', plain,
91.94/91.96	    ![X0 : fun_state_bool, X1 : fun_Ho882550911a_bool, X2 : com, 
91.94/91.96	      X3 : fun_a_fun_state_bool]:
91.94/91.96	      (app_encode_app(bool, $o, hBOOL, 
91.94/91.96	         app_encode_app(state, bool, 
91.94/91.96	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
91.94/91.96	             hAPP_state_bool, X0), 
91.94/91.96	           sk_S_2(
91.94/91.96	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	               app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                 hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X0), X3, 
91.94/91.96	             X2, X1)))
91.94/91.96	       | app_encode_app(bool, $o, hBOOL, 
91.94/91.96	           app_encode_app(fun_Ho882550911a_bool, bool, 
91.94/91.96	             app_encode_app(fun_fu2026518849l_bool, 
91.94/91.96	               app_encode_fun(fun_Ho882550911a_bool, bool), 
91.94/91.96	               hAPP_f500854239l_bool, 
91.94/91.96	               app_encode_app(fun_Ho882550911a_bool, fun_fu2026518849l_bool, 
91.94/91.96	                 hoare_572465367rivs_a, X1)), 
91.94/91.96	             app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	               app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	                 app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	                 hAPP_f642208769a_bool, 
91.94/91.96	                 app_encode_app(hoare_2076525193iple_a, 
91.94/91.96	                   fun_fu1663341283a_bool, 
91.94/91.96	                   app_encode_app(fun_Ho112928087a_bool, 
91.94/91.96	                     app_encode_fun(hoare_2076525193iple_a, 
91.94/91.96	                       fun_fu1663341283a_bool), hAPP_H1940471919a_bool, 
91.94/91.96	                     insert1582918915iple_a), 
91.94/91.96	                   app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                     hoare_2076525193iple_a, 
91.94/91.96	                     app_encode_app(com, 
91.94/91.96	                       app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                         hoare_2076525193iple_a), 
91.94/91.96	                       app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                         app_encode_fun(com, 
91.94/91.96	                           app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                             hoare_2076525193iple_a)), 
91.94/91.96	                         hoare_1876769875iple_a, 
91.94/91.96	                         app_encode_app(fun_state_bool, 
91.94/91.96	                           fun_a_fun_state_bool, 
91.94/91.96	                           app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                             app_encode_fun(fun_state_bool, 
91.94/91.96	                               fun_a_fun_state_bool), hAPP_f762886889e_bool, 
91.94/91.96	                             cOMBK_1458035955bool_a), X0)), X2), X3))), 
91.94/91.96	               bot_bo214064617a_bool)))),
91.94/91.96	    inference('sup+', [status(thm)], ['0', '1'])).
91.94/91.96	tff(zf_stmt_939, axiom,
91.94/91.96	  (![A_13:hoare_2076525193iple_a]:
91.94/91.96	     (app_encode_app(fun_Ho882550911a_bool,fun_Ho882550911a_bool,
91.94/91.96	                     app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                    app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                   fun_Ho882550911a_bool),
91.94/91.96	                                    hAPP_f642208769a_bool,
91.94/91.96	                                    collec977865374iple_a),
91.94/91.96	                     app_encode_app(hoare_2076525193iple_a,
91.94/91.96	                                    fun_Ho882550911a_bool,
91.94/91.96	                                    app_encode_app(fun_Ho943022881a_bool,
91.94/91.96	                                                   app_encode_fun(hoare_2076525193iple_a,
91.94/91.96	                                                                  fun_Ho882550911a_bool),
91.94/91.96	                                                   hAPP_H2077279219a_bool,
91.94/91.96	                                                   fequal1589671816iple_a),
91.94/91.96	                                    A_13)) =
91.94/91.96	      app_encode_app(fun_Ho882550911a_bool,fun_Ho882550911a_bool,
91.94/91.96	                     app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                    app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                   fun_Ho882550911a_bool),
91.94/91.96	                                    hAPP_f642208769a_bool,
91.94/91.96	                                    app_encode_app(hoare_2076525193iple_a,
91.94/91.96	                                                   fun_fu1663341283a_bool,
91.94/91.96	                                                   app_encode_app(fun_Ho112928087a_bool,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  hoare_2076525193iple_a,
91.94/91.96	                                                                  fun_fu1663341283a_bool),
91.94/91.96	                                                                  hAPP_H1940471919a_bool,
91.94/91.96	                                                                  insert1582918915iple_a),
91.94/91.96	                                                   A_13)),
91.94/91.96	                     bot_bo214064617a_bool)))).
91.94/91.96	tff('3', plain,
91.94/91.96	    ![X66 : hoare_2076525193iple_a]:
91.94/91.96	      app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	        app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	          app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	          hAPP_f642208769a_bool, collec977865374iple_a), 
91.94/91.96	        app_encode_app(hoare_2076525193iple_a, fun_Ho882550911a_bool, 
91.94/91.96	          app_encode_app(fun_Ho943022881a_bool, 
91.94/91.96	            app_encode_fun(hoare_2076525193iple_a, fun_Ho882550911a_bool), 
91.94/91.96	            hAPP_H2077279219a_bool, fequal1589671816iple_a), X66))
91.94/91.96	       = app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	           app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	             app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	             hAPP_f642208769a_bool, 
91.94/91.96	             app_encode_app(hoare_2076525193iple_a, fun_fu1663341283a_bool, 
91.94/91.96	               app_encode_app(fun_Ho112928087a_bool, 
91.94/91.96	                 app_encode_fun(hoare_2076525193iple_a, 
91.94/91.96	                   fun_fu1663341283a_bool), hAPP_H1940471919a_bool, 
91.94/91.96	                 insert1582918915iple_a), X66)), bot_bo214064617a_bool),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_939])).
91.94/91.96	tff(zf_stmt_1119, axiom,
91.94/91.96	  (![Pa:fun_Ho882550911a_bool]:
91.94/91.96	     (app_encode_app(fun_Ho882550911a_bool,fun_Ho882550911a_bool,
91.94/91.96	                     app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                    app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                   fun_Ho882550911a_bool),
91.94/91.96	                                    hAPP_f642208769a_bool,
91.94/91.96	                                    collec977865374iple_a),
91.94/91.96	                     Pa) =
91.94/91.96	      Pa))).
91.94/91.96	tff('4', plain,
91.94/91.96	    ![X551 : fun_Ho882550911a_bool]:
91.94/91.96	      app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	        app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	          app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	          hAPP_f642208769a_bool, collec977865374iple_a), X551)
91.94/91.96	       = X551,
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_1119])).
91.94/91.96	tff('5', plain,
91.94/91.96	    ![X66 : hoare_2076525193iple_a]:
91.94/91.96	      app_encode_app(hoare_2076525193iple_a, fun_Ho882550911a_bool, 
91.94/91.96	        app_encode_app(fun_Ho943022881a_bool, 
91.94/91.96	          app_encode_fun(hoare_2076525193iple_a, fun_Ho882550911a_bool), 
91.94/91.96	          hAPP_H2077279219a_bool, fequal1589671816iple_a), X66)
91.94/91.96	       = app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	           app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	             app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	             hAPP_f642208769a_bool, 
91.94/91.96	             app_encode_app(hoare_2076525193iple_a, fun_fu1663341283a_bool, 
91.94/91.96	               app_encode_app(fun_Ho112928087a_bool, 
91.94/91.96	                 app_encode_fun(hoare_2076525193iple_a, 
91.94/91.96	                   fun_fu1663341283a_bool), hAPP_H1940471919a_bool, 
91.94/91.96	                 insert1582918915iple_a), X66)), bot_bo214064617a_bool),
91.94/91.96	    inference('demod', [status(thm)], ['3', '4'])).
91.94/91.96	tff('6', plain,
91.94/91.96	    ![X0 : fun_state_bool, X1 : fun_Ho882550911a_bool, X2 : com, 
91.94/91.96	      X3 : fun_a_fun_state_bool]:
91.94/91.96	      (app_encode_app(bool, $o, hBOOL, 
91.94/91.96	         app_encode_app(state, bool, 
91.94/91.96	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
91.94/91.96	             hAPP_state_bool, X0), 
91.94/91.96	           sk_S_2(
91.94/91.96	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	               app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                 hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X0), X3, 
91.94/91.96	             X2, X1)))
91.94/91.96	       | app_encode_app(bool, $o, hBOOL, 
91.94/91.96	           app_encode_app(fun_Ho882550911a_bool, bool, 
91.94/91.96	             app_encode_app(fun_fu2026518849l_bool, 
91.94/91.96	               app_encode_fun(fun_Ho882550911a_bool, bool), 
91.94/91.96	               hAPP_f500854239l_bool, 
91.94/91.96	               app_encode_app(fun_Ho882550911a_bool, fun_fu2026518849l_bool, 
91.94/91.96	                 hoare_572465367rivs_a, X1)), 
91.94/91.96	             app_encode_app(hoare_2076525193iple_a, fun_Ho882550911a_bool, 
91.94/91.96	               app_encode_app(fun_Ho943022881a_bool, 
91.94/91.96	                 app_encode_fun(hoare_2076525193iple_a, 
91.94/91.96	                   fun_Ho882550911a_bool), hAPP_H2077279219a_bool, 
91.94/91.96	                 fequal1589671816iple_a), 
91.94/91.96	               app_encode_app(fun_a_fun_state_bool, hoare_2076525193iple_a, 
91.94/91.96	                 app_encode_app(com, 
91.94/91.96	                   app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                     hoare_2076525193iple_a), 
91.94/91.96	                   app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                     app_encode_fun(com, 
91.94/91.96	                       app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                         hoare_2076525193iple_a)), hoare_1876769875iple_a, 
91.94/91.96	                     app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	                       app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                         app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                         hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X0)), 
91.94/91.96	                   X2), X3))))),
91.94/91.96	    inference('demod', [status(thm)], ['2', '5'])).
91.94/91.96	tff(zf_stmt_2283, conjecture,
91.94/91.96	  (app_encode_app(bool,$o,hBOOL,
91.94/91.96	                  app_encode_app(fun_Ho882550911a_bool,bool,
91.94/91.96	                                 app_encode_app(fun_fu2026518849l_bool,
91.94/91.96	                                                app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                               bool),
91.94/91.96	                                                hAPP_f500854239l_bool,
91.94/91.96	                                                app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                               fun_fu2026518849l_bool,
91.94/91.96	                                                               hoare_572465367rivs_a,
91.94/91.96	                                                               g)),
91.94/91.96	                                 app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                fun_Ho882550911a_bool,
91.94/91.96	                                                app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_Ho882550911a_bool,
91.94/91.96	                                                               fun_Ho882550911a_bool),
91.94/91.96	                                                               hAPP_f642208769a_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               hoare_2076525193iple_a,
91.94/91.96	                                                               fun_fu1663341283a_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_Ho112928087a_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               hoare_2076525193iple_a,
91.94/91.96	                                                               fun_fu1663341283a_bool),
91.94/91.96	                                                               hAPP_H1940471919a_bool,
91.94/91.96	                                                               insert1582918915iple_a),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               hoare_2076525193iple_a,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               com,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               hoare_2076525193iple_a),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               com,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               hoare_2076525193iple_a)),
91.94/91.96	                                                               hoare_1876769875iple_a,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu281355805e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               fun_a_fun_state_bool),
91.94/91.96	                                                               hAPP_f762886889e_bool,
91.94/91.96	                                                               cOMBK_1458035955bool_a),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               bool,
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_bo1936561970e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               bool,
91.94/91.96	                                                               fun_state_bool),
91.94/91.96	                                                               hAPP_b2019457360e_bool,
91.94/91.96	                                                               cOMBK_bool_state),
91.94/91.96	                                                               fFalse))),c),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu281355805e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               fun_a_fun_state_bool),
91.94/91.96	                                                               hAPP_f762886889e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_a_2117018159e_bool,
91.94/91.96	                                                               fun_fu281355805e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu734682033e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_a_2117018159e_bool,
91.94/91.96	                                                               fun_fu281355805e_bool),
91.94/91.96	                                                               hAPP_f1261923407e_bool,
91.94/91.96	                                                               cOMBC_892787026e_bool),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_a_1632297036l_bool,
91.94/91.96	                                                               fun_a_2117018159e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu2008829792e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_a_1632297036l_bool,
91.94/91.96	                                                               fun_a_2117018159e_bool),
91.94/91.96	                                                               hAPP_f963367678e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu1047394976e_bool,
91.94/91.96	                                                               fun_fu2008829792e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu1631777789e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_fu1047394976e_bool,
91.94/91.96	                                                               fun_fu2008829792e_bool),
91.94/91.96	                                                               hAPP_f375255701e_bool,
91.94/91.96	                                                               cOMBB_145932198bool_a),
91.94/91.96	                                                               cOMBS_1378840469l_bool)),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               fun_a_1632297036l_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu2118559873l_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_a_fun_state_bool,
91.94/91.96	                                                               fun_a_1632297036l_bool),
91.94/91.96	                                                               hAPP_f1509969235l_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu1658206819l_bool,
91.94/91.96	                                                               fun_fu2118559873l_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu1340893257l_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_fu1658206819l_bool,
91.94/91.96	                                                               fun_fu2118559873l_bool),
91.94/91.96	                                                               hAPP_f1178339559l_bool,
91.94/91.96	                                                               cOMBB_1355796797bool_a),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_bo1549164019l_bool,
91.94/91.96	                                                               fun_fu1658206819l_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu1873708859l_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_bo1549164019l_bool,
91.94/91.96	                                                               fun_fu1658206819l_bool),
91.94/91.96	                                                               hAPP_f1561913689l_bool,
91.94/91.96	                                                               cOMBB_188601460_state),
91.94/91.96	                                                               fconj))),p)))),
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu373216837e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_state_bool,
91.94/91.96	                                                               fun_state_bool),
91.94/91.96	                                                               hAPP_f1759915619e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_bool_bool,
91.94/91.96	                                                               fun_fu373216837e_bool,
91.94/91.96	                                                               app_encode_app(
91.94/91.96	                                                               fun_fu88048803e_bool,
91.94/91.96	                                                               app_encode_fun(
91.94/91.96	                                                               fun_bool_bool,
91.94/91.96	                                                               fun_fu373216837e_bool),
91.94/91.96	                                                               hAPP_f2073279419e_bool,
91.94/91.96	                                                               cOMBB_160679318_state),
91.94/91.96	                                                               fNot)),b))))),
91.94/91.96	                                                bot_bo214064617a_bool))))).
91.94/91.96	tff(zf_stmt_0, negated_conjecture,
91.94/91.96	  (~
91.94/91.96	    app_encode_app(bool,$o,hBOOL,
91.94/91.96	                   app_encode_app(fun_Ho882550911a_bool,bool,
91.94/91.96	                                  app_encode_app(fun_fu2026518849l_bool,
91.94/91.96	                                                 app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                                bool),
91.94/91.96	                                                 hAPP_f500854239l_bool,
91.94/91.96	                                                 app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                                fun_fu2026518849l_bool,
91.94/91.96	                                                                hoare_572465367rivs_a,
91.94/91.96	                                                                g)),
91.94/91.96	                                  app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                 fun_Ho882550911a_bool,
91.94/91.96	                                                 app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_Ho882550911a_bool,
91.94/91.96	                                                                fun_Ho882550911a_bool),
91.94/91.96	                                                                hAPP_f642208769a_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                hoare_2076525193iple_a,
91.94/91.96	                                                                fun_fu1663341283a_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_Ho112928087a_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                hoare_2076525193iple_a,
91.94/91.96	                                                                fun_fu1663341283a_bool),
91.94/91.96	                                                                hAPP_H1940471919a_bool,
91.94/91.96	                                                                insert1582918915iple_a),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                hoare_2076525193iple_a,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                com,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                hoare_2076525193iple_a),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                com,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                hoare_2076525193iple_a)),
91.94/91.96	                                                                hoare_1876769875iple_a,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu281355805e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                fun_a_fun_state_bool),
91.94/91.96	                                                                hAPP_f762886889e_bool,
91.94/91.96	                                                                cOMBK_1458035955bool_a),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                bool,
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_bo1936561970e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                bool,
91.94/91.96	                                                                fun_state_bool),
91.94/91.96	                                                                hAPP_b2019457360e_bool,
91.94/91.96	                                                                cOMBK_bool_state),
91.94/91.96	                                                                fFalse))),c),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu281355805e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                fun_a_fun_state_bool),
91.94/91.96	                                                                hAPP_f762886889e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_a_2117018159e_bool,
91.94/91.96	                                                                fun_fu281355805e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu734682033e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_a_2117018159e_bool,
91.94/91.96	                                                                fun_fu281355805e_bool),
91.94/91.96	                                                                hAPP_f1261923407e_bool,
91.94/91.96	                                                                cOMBC_892787026e_bool),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_a_1632297036l_bool,
91.94/91.96	                                                                fun_a_2117018159e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu2008829792e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_a_1632297036l_bool,
91.94/91.96	                                                                fun_a_2117018159e_bool),
91.94/91.96	                                                                hAPP_f963367678e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu1047394976e_bool,
91.94/91.96	                                                                fun_fu2008829792e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu1631777789e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_fu1047394976e_bool,
91.94/91.96	                                                                fun_fu2008829792e_bool),
91.94/91.96	                                                                hAPP_f375255701e_bool,
91.94/91.96	                                                                cOMBB_145932198bool_a),
91.94/91.96	                                                                cOMBS_1378840469l_bool)),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                fun_a_1632297036l_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu2118559873l_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_a_fun_state_bool,
91.94/91.96	                                                                fun_a_1632297036l_bool),
91.94/91.96	                                                                hAPP_f1509969235l_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu1658206819l_bool,
91.94/91.96	                                                                fun_fu2118559873l_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu1340893257l_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_fu1658206819l_bool,
91.94/91.96	                                                                fun_fu2118559873l_bool),
91.94/91.96	                                                                hAPP_f1178339559l_bool,
91.94/91.96	                                                                cOMBB_1355796797bool_a),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_bo1549164019l_bool,
91.94/91.96	                                                                fun_fu1658206819l_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu1873708859l_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_bo1549164019l_bool,
91.94/91.96	                                                                fun_fu1658206819l_bool),
91.94/91.96	                                                                hAPP_f1561913689l_bool,
91.94/91.96	                                                                cOMBB_188601460_state),
91.94/91.96	                                                                fconj))),p)))),
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu373216837e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_state_bool,
91.94/91.96	                                                                fun_state_bool),
91.94/91.96	                                                                hAPP_f1759915619e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_bool_bool,
91.94/91.96	                                                                fun_fu373216837e_bool,
91.94/91.96	                                                                app_encode_app(
91.94/91.96	                                                                fun_fu88048803e_bool,
91.94/91.96	                                                                app_encode_fun(
91.94/91.96	                                                                fun_bool_bool,
91.94/91.96	                                                                fun_fu373216837e_bool),
91.94/91.96	                                                                hAPP_f2073279419e_bool,
91.94/91.96	                                                                cOMBB_160679318_state),
91.94/91.96	                                                                fNot)),b))))),
91.94/91.96	                                                 bot_bo214064617a_bool))))).
91.94/91.96	tff('7', plain,
91.94/91.96	    ~ app_encode_app(bool, $o, hBOOL, 
91.94/91.96	        app_encode_app(fun_Ho882550911a_bool, bool, 
91.94/91.96	          app_encode_app(fun_fu2026518849l_bool, 
91.94/91.96	            app_encode_fun(fun_Ho882550911a_bool, bool), 
91.94/91.96	            hAPP_f500854239l_bool, 
91.94/91.96	            app_encode_app(fun_Ho882550911a_bool, fun_fu2026518849l_bool, 
91.94/91.96	              hoare_572465367rivs_a, g)), 
91.94/91.96	          app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	            app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	              app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	              hAPP_f642208769a_bool, 
91.94/91.96	              app_encode_app(hoare_2076525193iple_a, fun_fu1663341283a_bool, 
91.94/91.96	                app_encode_app(fun_Ho112928087a_bool, 
91.94/91.96	                  app_encode_fun(hoare_2076525193iple_a, 
91.94/91.96	                    fun_fu1663341283a_bool), hAPP_H1940471919a_bool, 
91.94/91.96	                  insert1582918915iple_a), 
91.94/91.96	                app_encode_app(fun_a_fun_state_bool, hoare_2076525193iple_a, 
91.94/91.96	                  app_encode_app(com, 
91.94/91.96	                    app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                      hoare_2076525193iple_a), 
91.94/91.96	                    app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                      app_encode_fun(com, 
91.94/91.96	                        app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                          hoare_2076525193iple_a)), hoare_1876769875iple_a, 
91.94/91.96	                      app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	                        app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                          app_encode_fun(fun_state_bool, 
91.94/91.96	                            fun_a_fun_state_bool), hAPP_f762886889e_bool, 
91.94/91.96	                          cOMBK_1458035955bool_a), 
91.94/91.96	                        app_encode_app(bool, fun_state_bool, 
91.94/91.96	                          app_encode_app(fun_bo1936561970e_bool, 
91.94/91.96	                            app_encode_fun(bool, fun_state_bool), 
91.94/91.96	                            hAPP_b2019457360e_bool, cOMBK_bool_state), 
91.94/91.96	                          fFalse))), c), 
91.94/91.96	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	                    app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                      hAPP_f762886889e_bool, 
91.94/91.96	                      app_encode_app(fun_a_2117018159e_bool, 
91.94/91.96	                        fun_fu281355805e_bool, 
91.94/91.96	                        app_encode_app(fun_fu734682033e_bool, 
91.94/91.96	                          app_encode_fun(fun_a_2117018159e_bool, 
91.94/91.96	                            fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
91.94/91.96	                          cOMBC_892787026e_bool), 
91.94/91.96	                        app_encode_app(fun_a_1632297036l_bool, 
91.94/91.96	                          fun_a_2117018159e_bool, 
91.94/91.96	                          app_encode_app(fun_fu2008829792e_bool, 
91.94/91.96	                            app_encode_fun(fun_a_1632297036l_bool, 
91.94/91.96	                              fun_a_2117018159e_bool), 
91.94/91.96	                            hAPP_f963367678e_bool, 
91.94/91.96	                            app_encode_app(fun_fu1047394976e_bool, 
91.94/91.96	                              fun_fu2008829792e_bool, 
91.94/91.96	                              app_encode_app(fun_fu1631777789e_bool, 
91.94/91.96	                                app_encode_fun(fun_fu1047394976e_bool, 
91.94/91.96	                                  fun_fu2008829792e_bool), 
91.94/91.96	                                hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
91.94/91.96	                              cOMBS_1378840469l_bool)), 
91.94/91.96	                          app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                            fun_a_1632297036l_bool, 
91.94/91.96	                            app_encode_app(fun_fu2118559873l_bool, 
91.94/91.96	                              app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                                fun_a_1632297036l_bool), 
91.94/91.96	                              hAPP_f1509969235l_bool, 
91.94/91.96	                              app_encode_app(fun_fu1658206819l_bool, 
91.94/91.96	                                fun_fu2118559873l_bool, 
91.94/91.96	                                app_encode_app(fun_fu1340893257l_bool, 
91.94/91.96	                                  app_encode_fun(fun_fu1658206819l_bool, 
91.94/91.96	                                    fun_fu2118559873l_bool), 
91.94/91.96	                                  hAPP_f1178339559l_bool, 
91.94/91.96	                                  cOMBB_1355796797bool_a), 
91.94/91.96	                                app_encode_app(fun_bo1549164019l_bool, 
91.94/91.96	                                  fun_fu1658206819l_bool, 
91.94/91.96	                                  app_encode_app(fun_fu1873708859l_bool, 
91.94/91.96	                                    app_encode_fun(fun_bo1549164019l_bool, 
91.94/91.96	                                      fun_fu1658206819l_bool), 
91.94/91.96	                                    hAPP_f1561913689l_bool, 
91.94/91.96	                                    cOMBB_188601460_state), fconj))), p)))), 
91.94/91.96	                    app_encode_app(fun_state_bool, fun_state_bool, 
91.94/91.96	                      app_encode_app(fun_fu373216837e_bool, 
91.94/91.96	                        app_encode_fun(fun_state_bool, fun_state_bool), 
91.94/91.96	                        hAPP_f1759915619e_bool, 
91.94/91.96	                        app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
91.94/91.96	                          app_encode_app(fun_fu88048803e_bool, 
91.94/91.96	                            app_encode_fun(fun_bool_bool, 
91.94/91.96	                              fun_fu373216837e_bool), 
91.94/91.96	                            hAPP_f2073279419e_bool, cOMBB_160679318_state), 
91.94/91.96	                          fNot)), b))))), bot_bo214064617a_bool))),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_0])).
91.94/91.96	tff(zf_stmt_2127, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
91.94/91.96	tff('8', plain, ![X3444 : bool]: (X3444 = fTrue | X3444 = fFalse),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_2127])).
91.94/91.96	tff(zf_stmt_1375, axiom,
91.94/91.96	  (app_encode_app(bool,$o,hBOOL,
91.94/91.96	                  app_encode_app(fun_Ho112928087a_bool,bool,
91.94/91.96	                                 finite1306023740a_bool,
91.94/91.96	                                 insert1582918915iple_a)))).
91.94/91.96	tff('9', plain,
91.94/91.96	    app_encode_app(bool, $o, hBOOL, 
91.94/91.96	      app_encode_app(fun_Ho112928087a_bool, bool, finite1306023740a_bool, 
91.94/91.96	        insert1582918915iple_a)),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_1375])).
91.94/91.96	tff(zf_stmt_2126, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
91.94/91.96	tff('10', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_2126])).
91.94/91.96	tff('11', plain,
91.94/91.96	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
91.94/91.96	    inference('sup-', [status(thm)], ['8', '10'])).
91.94/91.96	tff('12', plain,
91.94/91.96	    (~ $true
91.94/91.96	     | app_encode_app(fun_Ho112928087a_bool, bool, finite1306023740a_bool, 
91.94/91.96	         insert1582918915iple_a)
91.94/91.96	        = fTrue),
91.94/91.96	    inference('sup-', [status(thm)], ['9', '11'])).
91.94/91.96	tff('13', plain,
91.94/91.96	    app_encode_app(fun_Ho112928087a_bool, bool, finite1306023740a_bool, 
91.94/91.96	      insert1582918915iple_a)
91.94/91.96	     = fTrue,
91.94/91.96	    inference('simplify', [status(thm)], ['12'])).
91.94/91.96	tff('14', plain, app_encode_app(bool, $o, hBOOL, fTrue),
91.94/91.96	    inference('demod', [status(thm)], ['9', '13'])).
91.94/91.96	tff('15', plain,
91.94/91.96	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = fFalse),
91.94/91.96	    inference('sup+', [status(thm)], ['8', '14'])).
91.94/91.96	tff(zf_stmt_1025, axiom,
91.94/91.96	  (![X_1:hoare_2076525193iple_a]:
91.94/91.96	     (app_encode_app(bool,$o,hBOOL,
91.94/91.96	                     app_encode_app(hoare_2076525193iple_a,bool,
91.94/91.96	                                    app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                                   app_encode_fun(hoare_2076525193iple_a,
91.94/91.96	                                                                  bool),
91.94/91.96	                                                   hAPP_H454055633a_bool,
91.94/91.96	                                                   bot_bo214064617a_bool),
91.94/91.96	                                    X_1)) <=>
91.94/91.96	      app_encode_app(bool,$o,hBOOL,bot_bot_bool)))).
91.94/91.96	tff('16', plain,
91.94/91.96	    ![X273 : hoare_2076525193iple_a]:
91.94/91.96	      (app_encode_app(bool, $o, hBOOL, 
91.94/91.96	         app_encode_app(hoare_2076525193iple_a, bool, 
91.94/91.96	           app_encode_app(fun_Ho882550911a_bool, 
91.94/91.96	             app_encode_fun(hoare_2076525193iple_a, bool), 
91.94/91.96	             hAPP_H454055633a_bool, bot_bo214064617a_bool), X273))
91.94/91.96	       | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_1025])).
91.94/91.96	tff(zf_stmt_968, axiom,
91.94/91.96	  (bot_bo214064617a_bool =
91.94/91.96	   app_encode_app(fun_Ho882550911a_bool,fun_Ho882550911a_bool,
91.94/91.96	                  app_encode_app(fun_fu1663341283a_bool,
91.94/91.96	                                 app_encode_fun(fun_Ho882550911a_bool,
91.94/91.96	                                                fun_Ho882550911a_bool),
91.94/91.96	                                 hAPP_f642208769a_bool,collec977865374iple_a),
91.94/91.96	                  app_encode_app(bool,fun_Ho882550911a_bool,
91.94/91.96	                                 app_encode_app(fun_bo840878273a_bool,
91.94/91.96	                                                app_encode_fun(bool,
91.94/91.96	                                                               fun_Ho882550911a_bool),
91.94/91.96	                                                hAPP_b1299643615a_bool,
91.94/91.96	                                                cOMBK_861658160iple_a),
91.94/91.96	                                 fFalse)))).
91.94/91.96	tff('17', plain,
91.94/91.96	    bot_bo214064617a_bool
91.94/91.96	     = app_encode_app(fun_Ho882550911a_bool, fun_Ho882550911a_bool, 
91.94/91.96	         app_encode_app(fun_fu1663341283a_bool, 
91.94/91.96	           app_encode_fun(fun_Ho882550911a_bool, fun_Ho882550911a_bool), 
91.94/91.96	           hAPP_f642208769a_bool, collec977865374iple_a), 
91.94/91.96	         app_encode_app(bool, fun_Ho882550911a_bool, 
91.94/91.96	           app_encode_app(fun_bo840878273a_bool, 
91.94/91.96	             app_encode_fun(bool, fun_Ho882550911a_bool), 
91.94/91.96	             hAPP_b1299643615a_bool, cOMBK_861658160iple_a), fFalse)),
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_968])).
91.94/91.96	tff('18', plain,
91.94/91.96	    bot_bo214064617a_bool
91.94/91.96	     = app_encode_app(bool, fun_Ho882550911a_bool, 
91.94/91.96	         app_encode_app(fun_bo840878273a_bool, 
91.94/91.96	           app_encode_fun(bool, fun_Ho882550911a_bool), 
91.94/91.96	           hAPP_b1299643615a_bool, cOMBK_861658160iple_a), fFalse),
91.94/91.96	    inference('demod', [status(thm)], ['17', '4'])).
91.94/91.96	tff(zf_stmt_2184, axiom,
91.94/91.96	  (![P:bool,Q:hoare_2076525193iple_a]:
91.94/91.96	     (app_encode_app(hoare_2076525193iple_a,bool,
91.94/91.96	                     app_encode_app(fun_Ho882550911a_bool,
91.94/91.96	                                    app_encode_fun(hoare_2076525193iple_a,
91.94/91.96	                                                   bool),
91.94/91.96	                                    hAPP_H454055633a_bool,
91.94/91.96	                                    app_encode_app(bool,
91.94/91.96	                                                   fun_Ho882550911a_bool,
91.94/91.96	                                                   app_encode_app(fun_bo840878273a_bool,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  bool,
91.94/91.96	                                                                  fun_Ho882550911a_bool),
91.94/91.96	                                                                  hAPP_b1299643615a_bool,
91.94/91.96	                                                                  cOMBK_861658160iple_a),
91.94/91.96	                                                   P)),
91.94/91.96	                     Q) =
91.94/91.96	      P))).
91.94/91.96	tff('19', plain,
91.94/91.96	    ![X3578 : bool, X3579 : hoare_2076525193iple_a]:
91.94/91.96	      app_encode_app(hoare_2076525193iple_a, bool, 
91.94/91.96	        app_encode_app(fun_Ho882550911a_bool, 
91.94/91.96	          app_encode_fun(hoare_2076525193iple_a, bool), 
91.94/91.96	          hAPP_H454055633a_bool, 
91.94/91.96	          app_encode_app(bool, fun_Ho882550911a_bool, 
91.94/91.96	            app_encode_app(fun_bo840878273a_bool, 
91.94/91.96	              app_encode_fun(bool, fun_Ho882550911a_bool), 
91.94/91.96	              hAPP_b1299643615a_bool, cOMBK_861658160iple_a), X3578)), X3579)
91.94/91.96	       = X3578,
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_2184])).
91.94/91.96	tff('20', plain,
91.94/91.96	    ![X0 : hoare_2076525193iple_a]:
91.94/91.96	      app_encode_app(hoare_2076525193iple_a, bool, 
91.94/91.96	        app_encode_app(fun_Ho882550911a_bool, 
91.94/91.96	          app_encode_fun(hoare_2076525193iple_a, bool), 
91.94/91.96	          hAPP_H454055633a_bool, bot_bo214064617a_bool), X0)
91.94/91.96	       = fFalse,
91.94/91.96	    inference('sup+', [status(thm)], ['18', '19'])).
91.94/91.96	tff('21', plain,
91.94/91.96	    (app_encode_app(bool, $o, hBOOL, fFalse)
91.94/91.96	     | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
91.94/91.96	    inference('demod', [status(thm)], ['16', '20'])).
91.94/91.96	tff('22', plain, ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool),
91.94/91.96	    inference('clc', [status(thm)], ['21', '10'])).
91.94/91.96	tff('23', plain, (~ $true | bot_bot_bool = fFalse),
91.94/91.96	    inference('sup-', [status(thm)], ['15', '22'])).
91.94/91.96	tff('24', plain, bot_bot_bool = fFalse,
91.94/91.96	    inference('simplify', [status(thm)], ['23'])).
91.94/91.96	tff('25', plain,
91.94/91.96	    ~ app_encode_app(bool, $o, hBOOL, 
91.94/91.96	        app_encode_app(fun_Ho882550911a_bool, bool, 
91.94/91.96	          app_encode_app(fun_fu2026518849l_bool, 
91.94/91.96	            app_encode_fun(fun_Ho882550911a_bool, bool), 
91.94/91.96	            hAPP_f500854239l_bool, 
91.94/91.96	            app_encode_app(fun_Ho882550911a_bool, fun_fu2026518849l_bool, 
91.94/91.96	              hoare_572465367rivs_a, g)), 
91.94/91.96	          app_encode_app(hoare_2076525193iple_a, fun_Ho882550911a_bool, 
91.94/91.96	            app_encode_app(fun_Ho943022881a_bool, 
91.94/91.96	              app_encode_fun(hoare_2076525193iple_a, fun_Ho882550911a_bool), 
91.94/91.96	              hAPP_H2077279219a_bool, fequal1589671816iple_a), 
91.94/91.96	            app_encode_app(fun_a_fun_state_bool, hoare_2076525193iple_a, 
91.94/91.96	              app_encode_app(com, 
91.94/91.96	                app_encode_fun(fun_a_fun_state_bool, hoare_2076525193iple_a), 
91.94/91.96	                app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                  app_encode_fun(com, 
91.94/91.96	                    app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                      hoare_2076525193iple_a)), hoare_1876769875iple_a, 
91.94/91.96	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	                    app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                      hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
91.94/91.96	                    app_encode_app(bool, fun_state_bool, 
91.94/91.96	                      app_encode_app(fun_bo1936561970e_bool, 
91.94/91.96	                        app_encode_fun(bool, fun_state_bool), 
91.94/91.96	                        hAPP_b2019457360e_bool, cOMBK_bool_state), 
91.94/91.96	                      bot_bot_bool))), c), 
91.94/91.96	              app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	                app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                  app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                  hAPP_f762886889e_bool, 
91.94/91.96	                  app_encode_app(fun_a_2117018159e_bool, 
91.94/91.96	                    fun_fu281355805e_bool, 
91.94/91.96	                    app_encode_app(fun_fu734682033e_bool, 
91.94/91.96	                      app_encode_fun(fun_a_2117018159e_bool, 
91.94/91.96	                        fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
91.94/91.96	                      cOMBC_892787026e_bool), 
91.94/91.96	                    app_encode_app(fun_a_1632297036l_bool, 
91.94/91.96	                      fun_a_2117018159e_bool, 
91.94/91.96	                      app_encode_app(fun_fu2008829792e_bool, 
91.94/91.96	                        app_encode_fun(fun_a_1632297036l_bool, 
91.94/91.96	                          fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
91.94/91.96	                        app_encode_app(fun_fu1047394976e_bool, 
91.94/91.96	                          fun_fu2008829792e_bool, 
91.94/91.96	                          app_encode_app(fun_fu1631777789e_bool, 
91.94/91.96	                            app_encode_fun(fun_fu1047394976e_bool, 
91.94/91.96	                              fun_fu2008829792e_bool), 
91.94/91.96	                            hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
91.94/91.96	                          cOMBS_1378840469l_bool)), 
91.94/91.96	                      app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                        fun_a_1632297036l_bool, 
91.94/91.96	                        app_encode_app(fun_fu2118559873l_bool, 
91.94/91.96	                          app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                            fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
91.94/91.96	                          app_encode_app(fun_fu1658206819l_bool, 
91.94/91.96	                            fun_fu2118559873l_bool, 
91.94/91.96	                            app_encode_app(fun_fu1340893257l_bool, 
91.94/91.96	                              app_encode_fun(fun_fu1658206819l_bool, 
91.94/91.96	                                fun_fu2118559873l_bool), 
91.94/91.96	                              hAPP_f1178339559l_bool, cOMBB_1355796797bool_a), 
91.94/91.96	                            app_encode_app(fun_bo1549164019l_bool, 
91.94/91.96	                              fun_fu1658206819l_bool, 
91.94/91.96	                              app_encode_app(fun_fu1873708859l_bool, 
91.94/91.96	                                app_encode_fun(fun_bo1549164019l_bool, 
91.94/91.96	                                  fun_fu1658206819l_bool), 
91.94/91.96	                                hAPP_f1561913689l_bool, 
91.94/91.96	                                cOMBB_188601460_state), fconj))), p)))), 
91.94/91.96	                app_encode_app(fun_state_bool, fun_state_bool, 
91.94/91.96	                  app_encode_app(fun_fu373216837e_bool, 
91.94/91.96	                    app_encode_fun(fun_state_bool, fun_state_bool), 
91.94/91.96	                    hAPP_f1759915619e_bool, 
91.94/91.96	                    app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
91.94/91.96	                      app_encode_app(fun_fu88048803e_bool, 
91.94/91.96	                        app_encode_fun(fun_bool_bool, fun_fu373216837e_bool), 
91.94/91.96	                        hAPP_f2073279419e_bool, cOMBB_160679318_state), fNot)), 
91.94/91.96	                  b)))))),
91.94/91.96	    inference('demod', [status(thm)], ['7', '24', '5'])).
91.94/91.96	tff('26', plain,
91.94/91.96	    (~ $true
91.94/91.96	     | app_encode_app(bool, $o, hBOOL, 
91.94/91.96	         app_encode_app(state, bool, 
91.94/91.96	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
91.94/91.96	             hAPP_state_bool, 
91.94/91.96	             app_encode_app(bool, fun_state_bool, 
91.94/91.96	               app_encode_app(fun_bo1936561970e_bool, 
91.94/91.96	                 app_encode_fun(bool, fun_state_bool), 
91.94/91.96	                 hAPP_b2019457360e_bool, cOMBK_bool_state), bot_bot_bool)), 
91.94/91.96	           sk_S_2(
91.94/91.96	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	               app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                 hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
91.94/91.96	               app_encode_app(bool, fun_state_bool, 
91.94/91.96	                 app_encode_app(fun_bo1936561970e_bool, 
91.94/91.96	                   app_encode_fun(bool, fun_state_bool), 
91.94/91.96	                   hAPP_b2019457360e_bool, cOMBK_bool_state), bot_bot_bool)), 
91.94/91.96	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
91.94/91.96	               app_encode_app(fun_fu281355805e_bool, 
91.94/91.96	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
91.94/91.96	                 hAPP_f762886889e_bool, 
91.94/91.96	                 app_encode_app(fun_a_2117018159e_bool, 
91.94/91.96	                   fun_fu281355805e_bool, 
91.94/91.96	                   app_encode_app(fun_fu734682033e_bool, 
91.94/91.96	                     app_encode_fun(fun_a_2117018159e_bool, 
91.94/91.96	                       fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
91.94/91.96	                     cOMBC_892787026e_bool), 
91.94/91.96	                   app_encode_app(fun_a_1632297036l_bool, 
91.94/91.96	                     fun_a_2117018159e_bool, 
91.94/91.96	                     app_encode_app(fun_fu2008829792e_bool, 
91.94/91.96	                       app_encode_fun(fun_a_1632297036l_bool, 
91.94/91.96	                         fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
91.94/91.96	                       app_encode_app(fun_fu1047394976e_bool, 
91.94/91.96	                         fun_fu2008829792e_bool, 
91.94/91.96	                         app_encode_app(fun_fu1631777789e_bool, 
91.94/91.96	                           app_encode_fun(fun_fu1047394976e_bool, 
91.94/91.96	                             fun_fu2008829792e_bool), hAPP_f375255701e_bool, 
91.94/91.96	                           cOMBB_145932198bool_a), cOMBS_1378840469l_bool)), 
91.94/91.96	                     app_encode_app(fun_a_fun_state_bool, 
91.94/91.96	                       fun_a_1632297036l_bool, 
91.94/91.96	                       app_encode_app(fun_fu2118559873l_bool, 
91.94/91.96	                         app_encode_fun(fun_a_fun_state_bool, 
91.94/91.96	                           fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
91.94/91.96	                         app_encode_app(fun_fu1658206819l_bool, 
91.94/91.96	                           fun_fu2118559873l_bool, 
91.94/91.96	                           app_encode_app(fun_fu1340893257l_bool, 
91.94/91.96	                             app_encode_fun(fun_fu1658206819l_bool, 
91.94/91.96	                               fun_fu2118559873l_bool), 
91.94/91.96	                             hAPP_f1178339559l_bool, cOMBB_1355796797bool_a), 
91.94/91.96	                           app_encode_app(fun_bo1549164019l_bool, 
91.94/91.96	                             fun_fu1658206819l_bool, 
91.94/91.96	                             app_encode_app(fun_fu1873708859l_bool, 
91.94/91.96	                               app_encode_fun(fun_bo1549164019l_bool, 
91.94/91.96	                                 fun_fu1658206819l_bool), 
91.94/91.96	                               hAPP_f1561913689l_bool, cOMBB_188601460_state), 
91.94/91.96	                             fconj))), p)))), 
91.94/91.96	               app_encode_app(fun_state_bool, fun_state_bool, 
91.94/91.96	                 app_encode_app(fun_fu373216837e_bool, 
91.94/91.96	                   app_encode_fun(fun_state_bool, fun_state_bool), 
91.94/91.96	                   hAPP_f1759915619e_bool, 
91.94/91.96	                   app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
91.94/91.96	                     app_encode_app(fun_fu88048803e_bool, 
91.94/91.96	                       app_encode_fun(fun_bool_bool, fun_fu373216837e_bool), 
91.94/91.96	                       hAPP_f2073279419e_bool, cOMBB_160679318_state), fNot)), 
91.94/91.96	                 b)), c, g)))),
91.94/91.96	    inference('sup-', [status(thm)], ['6', '25'])).
91.94/91.96	tff(zf_stmt_2148, axiom,
91.94/91.96	  (![P:bool,Q:state]:
91.94/91.96	     (app_encode_app(state,bool,
91.94/91.96	                     app_encode_app(fun_state_bool,
91.94/91.96	                                    app_encode_fun(state,bool),
91.94/91.96	                                    hAPP_state_bool,
91.94/91.96	                                    app_encode_app(bool,fun_state_bool,
91.94/91.96	                                                   app_encode_app(fun_bo1936561970e_bool,
91.94/91.96	                                                                  app_encode_fun(
91.94/91.96	                                                                  bool,
91.94/91.96	                                                                  fun_state_bool),
91.94/91.96	                                                                  hAPP_b2019457360e_bool,
91.94/91.96	                                                                  cOMBK_bool_state),
91.94/91.96	                                                   P)),
91.94/91.96	                     Q) =
91.94/91.96	      P))).
91.94/91.96	tff('27', plain,
91.94/91.96	    ![X3482 : bool, X3483 : state]:
91.94/91.96	      app_encode_app(state, bool, 
91.94/91.96	        app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
91.94/91.96	          hAPP_state_bool, 
91.94/91.96	          app_encode_app(bool, fun_state_bool, 
91.94/91.96	            app_encode_app(fun_bo1936561970e_bool, 
91.94/91.96	              app_encode_fun(bool, fun_state_bool), hAPP_b2019457360e_bool, 
91.94/91.96	              cOMBK_bool_state), X3482)), X3483)
91.94/91.96	       = X3482,
91.94/91.96	    inference('cnf', [status(esa)], [zf_stmt_2148])).
91.94/91.96	tff('28', plain, (~ $true | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
91.94/91.96	    inference('demod', [status(thm)], ['26', '27'])).
91.94/91.96	tff('29', plain, app_encode_app(bool, $o, hBOOL, bot_bot_bool),
91.94/91.96	    inference('simplify', [status(thm)], ['28'])).
91.94/91.96	tff('30', plain, ~ $true, inference('sup-', [status(thm)], ['29', '22'])).
91.94/91.96	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
91.94/91.96	
91.94/91.96	% SZS output end Refutation
91.94/91.96	EOF
