0.00/0.00	% File    : /export/starexec/sandbox/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
0.00/0.20	% Computer   : n061.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:28:08 CST 2018
29.40/29.59	% done 8834 iterations in 29.389s
29.40/29.59	% SZS status Theorem for 'stdin'
29.40/29.59	% SZS output start Refutation
29.40/29.59	tff(zf_stmt_1265, axiom,
29.40/29.59	  (![P:fun_state_bool,Q:x_a]:
29.40/29.59	     (app_encode_app(x_a,fun_state_bool,
29.40/29.59	                     app_encode_app(fun_a_fun_state_bool,
29.40/29.59	                                    app_encode_fun(x_a,fun_state_bool),
29.40/29.59	                                    hAPP_a2036067514e_bool,
29.40/29.59	                                    app_encode_app(fun_state_bool,
29.40/29.59	                                                   fun_a_fun_state_bool,
29.40/29.59	                                                   app_encode_app(fun_fu281355805e_bool,
29.40/29.59	                                                                  app_encode_fun(
29.40/29.59	                                                                  fun_state_bool,
29.40/29.59	                                                                  fun_a_fun_state_bool),
29.40/29.59	                                                                  hAPP_f762886889e_bool,
29.40/29.59	                                                                  cOMBK_1458035955bool_a),
29.40/29.59	                                                   P)),
29.40/29.59	                     Q) =
29.40/29.59	      P))).
29.40/29.59	tff('0', plain,
29.40/29.59	    ![X2018 : fun_state_bool, X2019 : x_a]:
29.40/29.59	      app_encode_app(x_a, fun_state_bool, 
29.40/29.59	        app_encode_app(fun_a_fun_state_bool, 
29.40/29.59	          app_encode_fun(x_a, fun_state_bool), hAPP_a2036067514e_bool, 
29.40/29.59	          app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.40/29.59	            app_encode_app(fun_fu281355805e_bool, 
29.40/29.59	              app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.40/29.59	              hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X2018)), X2019)
29.40/29.59	       = X2018,
29.40/29.59	    inference('cnf', [status(esa)], [zf_stmt_1265])).
29.40/29.59	tff(zf_stmt_549, axiom,
29.40/29.59	  (![Ga:fun_Ho287446294a_bool,Ca:com,Q_1:fun_a_fun_state_bool,
29.40/29.59	     Pa:fun_a_fun_state_bool]:
29.40/29.59	     ((![Z_7:x_a,S_2:state]:
29.40/29.59	         (app_encode_app(bool,$o,hBOOL,
29.40/29.59	                         app_encode_app(state,bool,
29.40/29.59	                                        app_encode_app(fun_state_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       state,bool),
29.40/29.59	                                                       hAPP_state_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       x_a,fun_state_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_a_fun_state_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       x_a,fun_state_bool),
29.40/29.59	                                                       hAPP_a2036067514e_bool,
29.40/29.59	                                                       Pa),Z_7)),
29.40/29.59	                                        S_2)) =>
29.40/29.59	          app_encode_app(bool,$o,hBOOL,
29.40/29.59	                         app_encode_app(fun_Ho287446294a_bool,bool,
29.40/29.59	                                        app_encode_app(fun_fu1441721944l_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       fun_Ho287446294a_bool,
29.40/29.59	                                                       bool),
29.40/29.59	                                                       hAPP_f2063540982l_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_Ho287446294a_bool,
29.40/29.59	                                                       fun_fu1441721944l_bool,
29.40/29.59	                                                       hoare_1546678894rivs_a,
29.40/29.59	                                                       Ga)),
29.40/29.59	                                        app_encode_app(fun_Ho287446294a_bool,
29.40/29.59	                                                       fun_Ho287446294a_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_fu410471825a_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       fun_Ho287446294a_bool,
29.40/29.59	                                                       fun_Ho287446294a_bool),
29.40/29.59	                                                       hAPP_f909437487a_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       hoare_1544627872iple_a,
29.40/29.59	                                                       fun_fu410471825a_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_Ho611385006a_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       hoare_1544627872iple_a,
29.40/29.59	                                                       fun_fu410471825a_bool),
29.40/29.59	                                                       hAPP_H762155206a_bool,
29.40/29.59	                                                       insert1051021594iple_a),
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_a_fun_state_bool,
29.40/29.59	                                                       hoare_1544627872iple_a,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       com,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       fun_a_fun_state_bool,
29.40/29.59	                                                       hoare_1544627872iple_a),
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_a_fun_state_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       com,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       fun_a_fun_state_bool,
29.40/29.59	                                                       hoare_1544627872iple_a)),
29.40/29.59	                                                       hoare_196563068iple_a,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_state_bool,
29.40/29.59	                                                       fun_a_fun_state_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_fu281355805e_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       fun_state_bool,
29.40/29.59	                                                       fun_a_fun_state_bool),
29.40/29.59	                                                       hAPP_f762886889e_bool,
29.40/29.59	                                                       cOMBK_1458035955bool_a),
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       state,fun_state_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_st1506752259e_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       state,fun_state_bool),
29.40/29.59	                                                       hAPP_s1806633685e_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_st1506752259e_bool,
29.40/29.59	                                                       fun_st1506752259e_bool,
29.40/29.59	                                                       app_encode_app(
29.40/29.59	                                                       fun_fu402792811e_bool,
29.40/29.59	                                                       app_encode_fun(
29.40/29.59	                                                       fun_st1506752259e_bool,
29.40/29.59	                                                       fun_st1506752259e_bool),
29.40/29.59	                                                       hAPP_f817621513e_bool,
29.40/29.59	                                                       cOMBC_2027030106e_bool),
29.40/29.59	                                                       fequal_state)),S_2))),
29.40/29.60	                                                       Ca),
29.40/29.60	                                                       app_encode_app(
29.40/29.60	                                                       fun_state_bool,
29.40/29.60	                                                       fun_a_fun_state_bool,
29.40/29.60	                                                       app_encode_app(
29.40/29.60	                                                       fun_fu281355805e_bool,
29.40/29.60	                                                       app_encode_fun(
29.40/29.60	                                                       fun_state_bool,
29.40/29.60	                                                       fun_a_fun_state_bool),
29.40/29.60	                                                       hAPP_f762886889e_bool,
29.40/29.60	                                                       cOMBK_1458035955bool_a),
29.40/29.60	                                                       app_encode_app(
29.40/29.60	                                                       x_a,fun_state_bool,
29.40/29.60	                                                       app_encode_app(
29.40/29.60	                                                       fun_a_fun_state_bool,
29.40/29.60	                                                       app_encode_fun(
29.40/29.60	                                                       x_a,fun_state_bool),
29.40/29.60	                                                       hAPP_a2036067514e_bool,
29.40/29.60	                                                       Q_1),Z_7))))),
29.40/29.60	                                                       bot_bo1766443648a_bool))))) =>
29.40/29.60	      app_encode_app(bool,$o,hBOOL,
29.40/29.60	                     app_encode_app(fun_Ho287446294a_bool,bool,
29.40/29.60	                                    app_encode_app(fun_fu1441721944l_bool,
29.40/29.60	                                                   app_encode_fun(fun_Ho287446294a_bool,
29.40/29.60	                                                                  bool),
29.40/29.60	                                                   hAPP_f2063540982l_bool,
29.40/29.60	                                                   app_encode_app(fun_Ho287446294a_bool,
29.40/29.60	                                                                  fun_fu1441721944l_bool,
29.40/29.60	                                                                  hoare_1546678894rivs_a,
29.40/29.60	                                                                  Ga)),
29.40/29.60	                                    app_encode_app(fun_Ho287446294a_bool,
29.40/29.60	                                                   fun_Ho287446294a_bool,
29.40/29.60	                                                   app_encode_app(fun_fu410471825a_bool,
29.40/29.60	                                                                  app_encode_fun(
29.40/29.60	                                                                  fun_Ho287446294a_bool,
29.40/29.60	                                                                  fun_Ho287446294a_bool),
29.40/29.60	                                                                  hAPP_f909437487a_bool,
29.40/29.60	                                                                  app_encode_app(
29.40/29.60	                                                                  hoare_1544627872iple_a,
29.40/29.60	                                                                  fun_fu410471825a_bool,
29.40/29.60	                                                                  app_encode_app(
29.40/29.60	                                                                  fun_Ho611385006a_bool,
29.40/29.60	                                                                  app_encode_fun(
29.40/29.60	                                                                  hoare_1544627872iple_a,
29.40/29.60	                                                                  fun_fu410471825a_bool),
29.40/29.60	                                                                  hAPP_H762155206a_bool,
29.40/29.60	                                                                  insert1051021594iple_a),
29.40/29.60	                                                                  app_encode_app(
29.40/29.60	                                                                  fun_a_fun_state_bool,
29.40/29.60	                                                                  hoare_1544627872iple_a,
29.40/29.60	                                                                  app_encode_app(
29.40/29.60	                                                                  com,
29.40/29.60	                                                                  app_encode_fun(
29.40/29.60	                                                                  fun_a_fun_state_bool,
29.40/29.60	                                                                  hoare_1544627872iple_a),
29.40/29.60	                                                                  app_encode_app(
29.40/29.60	                                                                  fun_a_fun_state_bool,
29.40/29.60	                                                                  app_encode_fun(
29.40/29.60	                                                                  com,
29.40/29.60	                                                                  app_encode_fun(
29.40/29.60	                                                                  fun_a_fun_state_bool,
29.40/29.60	                                                                  hoare_1544627872iple_a)),
29.40/29.60	                                                                  hoare_196563068iple_a,
29.40/29.60	                                                                  Pa),Ca),Q_1))),
29.40/29.60	                                                   bot_bo1766443648a_bool)))))).
29.40/29.60	tff('1', plain,
29.40/29.60	    ![X38 : fun_Ho287446294a_bool, X39 : fun_a_fun_state_bool, X40 : com, 
29.40/29.60	      X41 : fun_a_fun_state_bool]:
29.40/29.60	      (app_encode_app(bool, $o, hBOOL, 
29.40/29.60	         app_encode_app(fun_Ho287446294a_bool, bool, 
29.40/29.60	           app_encode_app(fun_fu1441721944l_bool, 
29.40/29.60	             app_encode_fun(fun_Ho287446294a_bool, bool), 
29.40/29.60	             hAPP_f2063540982l_bool, 
29.40/29.60	             app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
29.40/29.60	               hoare_1546678894rivs_a, X38)), 
29.40/29.60	           app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	             app_encode_app(fun_fu410471825a_bool, 
29.40/29.60	               app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
29.40/29.60	               hAPP_f909437487a_bool, 
29.40/29.60	               app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
29.40/29.60	                 app_encode_app(fun_Ho611385006a_bool, 
29.40/29.60	                   app_encode_fun(hoare_1544627872iple_a, 
29.40/29.60	                     fun_fu410471825a_bool), hAPP_H762155206a_bool, 
29.40/29.60	                   insert1051021594iple_a), 
29.40/29.60	                 app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                   hoare_1544627872iple_a, 
29.40/29.60	                   app_encode_app(com, 
29.40/29.60	                     app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                       hoare_1544627872iple_a), 
29.40/29.60	                     app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                       app_encode_fun(com, 
29.40/29.60	                         app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                           hoare_1544627872iple_a)), hoare_196563068iple_a, 
29.40/29.60	                       X39), X40), X41))), bot_bo1766443648a_bool)))
29.40/29.60	       | app_encode_app(bool, $o, hBOOL, 
29.40/29.60	           app_encode_app(state, bool, 
29.40/29.60	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
29.40/29.60	               hAPP_state_bool, 
29.40/29.60	               app_encode_app(x_a, fun_state_bool, 
29.40/29.60	                 app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                   app_encode_fun(x_a, fun_state_bool), 
29.40/29.60	                   hAPP_a2036067514e_bool, X39), sk_Z_7(X39, X41, X40, X38))), 
29.40/29.60	             sk_S_2(X39, X41, X40, X38)))),
29.40/29.60	    inference('cnf', [status(esa)], [zf_stmt_549])).
29.40/29.60	tff('2', plain,
29.40/29.60	    ![X0 : fun_state_bool, X1 : fun_Ho287446294a_bool, X2 : com, 
29.40/29.60	      X3 : fun_a_fun_state_bool]:
29.40/29.60	      (app_encode_app(bool, $o, hBOOL, 
29.40/29.60	         app_encode_app(state, bool, 
29.40/29.60	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
29.40/29.60	             hAPP_state_bool, X0), 
29.40/29.60	           sk_S_2(
29.40/29.60	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.40/29.60	               app_encode_app(fun_fu281355805e_bool, 
29.40/29.60	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.40/29.60	                 hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X0), X3, 
29.40/29.60	             X2, X1)))
29.40/29.60	       | app_encode_app(bool, $o, hBOOL, 
29.40/29.60	           app_encode_app(fun_Ho287446294a_bool, bool, 
29.40/29.60	             app_encode_app(fun_fu1441721944l_bool, 
29.40/29.60	               app_encode_fun(fun_Ho287446294a_bool, bool), 
29.40/29.60	               hAPP_f2063540982l_bool, 
29.40/29.60	               app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
29.40/29.60	                 hoare_1546678894rivs_a, X1)), 
29.40/29.60	             app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	               app_encode_app(fun_fu410471825a_bool, 
29.40/29.60	                 app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
29.40/29.60	                 hAPP_f909437487a_bool, 
29.40/29.60	                 app_encode_app(hoare_1544627872iple_a, 
29.40/29.60	                   fun_fu410471825a_bool, 
29.40/29.60	                   app_encode_app(fun_Ho611385006a_bool, 
29.40/29.60	                     app_encode_fun(hoare_1544627872iple_a, 
29.40/29.60	                       fun_fu410471825a_bool), hAPP_H762155206a_bool, 
29.40/29.60	                     insert1051021594iple_a), 
29.40/29.60	                   app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                     hoare_1544627872iple_a, 
29.40/29.60	                     app_encode_app(com, 
29.40/29.60	                       app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                         hoare_1544627872iple_a), 
29.40/29.60	                       app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                         app_encode_fun(com, 
29.40/29.60	                           app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                             hoare_1544627872iple_a)), 
29.40/29.60	                         hoare_196563068iple_a, 
29.40/29.60	                         app_encode_app(fun_state_bool, 
29.40/29.60	                           fun_a_fun_state_bool, 
29.40/29.60	                           app_encode_app(fun_fu281355805e_bool, 
29.40/29.60	                             app_encode_fun(fun_state_bool, 
29.40/29.60	                               fun_a_fun_state_bool), hAPP_f762886889e_bool, 
29.40/29.60	                             cOMBK_1458035955bool_a), X0)), X2), X3))), 
29.40/29.60	               bot_bo1766443648a_bool)))),
29.40/29.60	    inference('sup+', [status(thm)], ['0', '1'])).
29.40/29.60	tff(zf_stmt_566, axiom,
29.40/29.60	  (![A_1:hoare_1544627872iple_a]:
29.40/29.60	     (app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
29.40/29.60	                     collec445968053iple_a,
29.40/29.60	                     app_encode_app(hoare_1544627872iple_a,
29.40/29.60	                                    fun_Ho287446294a_bool,
29.40/29.60	                                    app_encode_app(fun_Ho965678415a_bool,
29.40/29.60	                                                   app_encode_fun(hoare_1544627872iple_a,
29.40/29.60	                                                                  fun_Ho287446294a_bool),
29.40/29.60	                                                   hAPP_H1472549281a_bool,
29.40/29.60	                                                   fequal1057774495iple_a),
29.40/29.60	                                    A_1)) =
29.40/29.60	      app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
29.40/29.60	                     app_encode_app(fun_fu410471825a_bool,
29.40/29.60	                                    app_encode_fun(fun_Ho287446294a_bool,
29.40/29.60	                                                   fun_Ho287446294a_bool),
29.40/29.60	                                    hAPP_f909437487a_bool,
29.40/29.60	                                    app_encode_app(hoare_1544627872iple_a,
29.40/29.60	                                                   fun_fu410471825a_bool,
29.40/29.60	                                                   app_encode_app(fun_Ho611385006a_bool,
29.40/29.60	                                                                  app_encode_fun(
29.40/29.60	                                                                  hoare_1544627872iple_a,
29.40/29.60	                                                                  fun_fu410471825a_bool),
29.40/29.60	                                                                  hAPP_H762155206a_bool,
29.40/29.60	                                                                  insert1051021594iple_a),
29.40/29.60	                                                   A_1)),
29.40/29.60	                     bot_bo1766443648a_bool)))).
29.40/29.60	tff('3', plain,
29.40/29.60	    ![X101 : hoare_1544627872iple_a]:
29.40/29.60	      app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	        collec445968053iple_a, 
29.40/29.60	        app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
29.40/29.60	          app_encode_app(fun_Ho965678415a_bool, 
29.40/29.60	            app_encode_fun(hoare_1544627872iple_a, fun_Ho287446294a_bool), 
29.40/29.60	            hAPP_H1472549281a_bool, fequal1057774495iple_a), X101))
29.40/29.60	       = app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	           app_encode_app(fun_fu410471825a_bool, 
29.40/29.60	             app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
29.40/29.60	             hAPP_f909437487a_bool, 
29.40/29.60	             app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
29.40/29.60	               app_encode_app(fun_Ho611385006a_bool, 
29.40/29.60	                 app_encode_fun(hoare_1544627872iple_a, 
29.40/29.60	                   fun_fu410471825a_bool), hAPP_H762155206a_bool, 
29.40/29.60	                 insert1051021594iple_a), X101)), bot_bo1766443648a_bool),
29.40/29.60	    inference('cnf', [status(esa)], [zf_stmt_566])).
29.40/29.60	tff(zf_stmt_771, axiom,
29.40/29.60	  (![Pa:fun_Ho287446294a_bool]:
29.40/29.60	     (app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
29.40/29.60	                     collec445968053iple_a,Pa) =
29.40/29.60	      Pa))).
29.40/29.60	tff('4', plain,
29.40/29.60	    ![X658 : fun_Ho287446294a_bool]:
29.40/29.60	      app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	        collec445968053iple_a, X658)
29.40/29.60	       = X658,
29.40/29.60	    inference('cnf', [status(esa)], [zf_stmt_771])).
29.40/29.60	tff('5', plain,
29.40/29.60	    ![X101 : hoare_1544627872iple_a]:
29.40/29.60	      app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
29.40/29.60	        app_encode_app(fun_Ho965678415a_bool, 
29.40/29.60	          app_encode_fun(hoare_1544627872iple_a, fun_Ho287446294a_bool), 
29.40/29.60	          hAPP_H1472549281a_bool, fequal1057774495iple_a), X101)
29.40/29.60	       = app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	           app_encode_app(fun_fu410471825a_bool, 
29.40/29.60	             app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
29.40/29.60	             hAPP_f909437487a_bool, 
29.40/29.60	             app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
29.40/29.60	               app_encode_app(fun_Ho611385006a_bool, 
29.40/29.60	                 app_encode_fun(hoare_1544627872iple_a, 
29.40/29.60	                   fun_fu410471825a_bool), hAPP_H762155206a_bool, 
29.40/29.60	                 insert1051021594iple_a), X101)), bot_bo1766443648a_bool),
29.40/29.60	    inference('demod', [status(thm)], ['3', '4'])).
29.40/29.60	tff('6', plain,
29.40/29.60	    ![X0 : fun_state_bool, X1 : fun_Ho287446294a_bool, X2 : com, 
29.40/29.60	      X3 : fun_a_fun_state_bool]:
29.40/29.60	      (app_encode_app(bool, $o, hBOOL, 
29.40/29.60	         app_encode_app(state, bool, 
29.40/29.60	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
29.40/29.60	             hAPP_state_bool, X0), 
29.40/29.60	           sk_S_2(
29.40/29.60	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.40/29.60	               app_encode_app(fun_fu281355805e_bool, 
29.40/29.60	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.40/29.60	                 hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X0), X3, 
29.40/29.60	             X2, X1)))
29.40/29.60	       | app_encode_app(bool, $o, hBOOL, 
29.40/29.60	           app_encode_app(fun_Ho287446294a_bool, bool, 
29.40/29.60	             app_encode_app(fun_fu1441721944l_bool, 
29.40/29.60	               app_encode_fun(fun_Ho287446294a_bool, bool), 
29.40/29.60	               hAPP_f2063540982l_bool, 
29.40/29.60	               app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
29.40/29.60	                 hoare_1546678894rivs_a, X1)), 
29.40/29.60	             app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
29.40/29.60	               app_encode_app(fun_Ho965678415a_bool, 
29.40/29.60	                 app_encode_fun(hoare_1544627872iple_a, 
29.40/29.60	                   fun_Ho287446294a_bool), hAPP_H1472549281a_bool, 
29.40/29.60	                 fequal1057774495iple_a), 
29.40/29.60	               app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
29.40/29.60	                 app_encode_app(com, 
29.40/29.60	                   app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                     hoare_1544627872iple_a), 
29.40/29.60	                   app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                     app_encode_fun(com, 
29.40/29.60	                       app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                         hoare_1544627872iple_a)), hoare_196563068iple_a, 
29.40/29.60	                     app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.40/29.60	                       app_encode_app(fun_fu281355805e_bool, 
29.40/29.60	                         app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.40/29.60	                         hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X0)), 
29.40/29.60	                   X2), X3))))),
29.40/29.60	    inference('demod', [status(thm)], ['2', '5'])).
29.40/29.60	tff(zf_stmt_1340, conjecture,
29.40/29.60	  (app_encode_app(bool,$o,hBOOL,
29.40/29.60	                  app_encode_app(fun_Ho287446294a_bool,bool,
29.40/29.60	                                 app_encode_app(fun_fu1441721944l_bool,
29.40/29.60	                                                app_encode_fun(fun_Ho287446294a_bool,
29.40/29.60	                                                               bool),
29.40/29.60	                                                hAPP_f2063540982l_bool,
29.40/29.60	                                                app_encode_app(fun_Ho287446294a_bool,
29.40/29.60	                                                               fun_fu1441721944l_bool,
29.40/29.60	                                                               hoare_1546678894rivs_a,
29.40/29.60	                                                               g)),
29.40/29.60	                                 app_encode_app(fun_Ho287446294a_bool,
29.40/29.60	                                                fun_Ho287446294a_bool,
29.40/29.60	                                                app_encode_app(fun_fu410471825a_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_Ho287446294a_bool,
29.40/29.60	                                                               fun_Ho287446294a_bool),
29.40/29.60	                                                               hAPP_f909437487a_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               hoare_1544627872iple_a,
29.40/29.60	                                                               fun_fu410471825a_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_Ho611385006a_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               hoare_1544627872iple_a,
29.40/29.60	                                                               fun_fu410471825a_bool),
29.40/29.60	                                                               hAPP_H762155206a_bool,
29.40/29.60	                                                               insert1051021594iple_a),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               hoare_1544627872iple_a,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               com,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               hoare_1544627872iple_a),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               com,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               hoare_1544627872iple_a)),
29.40/29.60	                                                               hoare_196563068iple_a,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu281355805e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               fun_a_fun_state_bool),
29.40/29.60	                                                               hAPP_f762886889e_bool,
29.40/29.60	                                                               cOMBK_1458035955bool_a),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               bool,
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_bo1936561970e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               bool,
29.40/29.60	                                                               fun_state_bool),
29.40/29.60	                                                               hAPP_b2019457360e_bool,
29.40/29.60	                                                               cOMBK_bool_state),
29.40/29.60	                                                               fFalse))),c),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu281355805e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               fun_a_fun_state_bool),
29.40/29.60	                                                               hAPP_f762886889e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_a_2117018159e_bool,
29.40/29.60	                                                               fun_fu281355805e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu734682033e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_a_2117018159e_bool,
29.40/29.60	                                                               fun_fu281355805e_bool),
29.40/29.60	                                                               hAPP_f1261923407e_bool,
29.40/29.60	                                                               cOMBC_892787026e_bool),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_a_1632297036l_bool,
29.40/29.60	                                                               fun_a_2117018159e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu2008829792e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_a_1632297036l_bool,
29.40/29.60	                                                               fun_a_2117018159e_bool),
29.40/29.60	                                                               hAPP_f963367678e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu1047394976e_bool,
29.40/29.60	                                                               fun_fu2008829792e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu1631777789e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_fu1047394976e_bool,
29.40/29.60	                                                               fun_fu2008829792e_bool),
29.40/29.60	                                                               hAPP_f375255701e_bool,
29.40/29.60	                                                               cOMBB_145932198bool_a),
29.40/29.60	                                                               cOMBS_1378840469l_bool)),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               fun_a_1632297036l_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu2118559873l_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_a_fun_state_bool,
29.40/29.60	                                                               fun_a_1632297036l_bool),
29.40/29.60	                                                               hAPP_f1509969235l_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu1658206819l_bool,
29.40/29.60	                                                               fun_fu2118559873l_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu1340893257l_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_fu1658206819l_bool,
29.40/29.60	                                                               fun_fu2118559873l_bool),
29.40/29.60	                                                               hAPP_f1178339559l_bool,
29.40/29.60	                                                               cOMBB_1355796797bool_a),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_bo1549164019l_bool,
29.40/29.60	                                                               fun_fu1658206819l_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu1873708859l_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_bo1549164019l_bool,
29.40/29.60	                                                               fun_fu1658206819l_bool),
29.40/29.60	                                                               hAPP_f1561913689l_bool,
29.40/29.60	                                                               cOMBB_188601460_state),
29.40/29.60	                                                               fconj))),p)))),
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu373216837e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_state_bool,
29.40/29.60	                                                               fun_state_bool),
29.40/29.60	                                                               hAPP_f1759915619e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_bool_bool,
29.40/29.60	                                                               fun_fu373216837e_bool,
29.40/29.60	                                                               app_encode_app(
29.40/29.60	                                                               fun_fu88048803e_bool,
29.40/29.60	                                                               app_encode_fun(
29.40/29.60	                                                               fun_bool_bool,
29.40/29.60	                                                               fun_fu373216837e_bool),
29.40/29.60	                                                               hAPP_f2073279419e_bool,
29.40/29.60	                                                               cOMBB_160679318_state),
29.40/29.60	                                                               fNot)),b))))),
29.40/29.60	                                                bot_bo1766443648a_bool))))).
29.40/29.60	tff(zf_stmt_0, negated_conjecture,
29.40/29.60	  (~
29.40/29.60	    app_encode_app(bool,$o,hBOOL,
29.40/29.60	                   app_encode_app(fun_Ho287446294a_bool,bool,
29.40/29.60	                                  app_encode_app(fun_fu1441721944l_bool,
29.40/29.60	                                                 app_encode_fun(fun_Ho287446294a_bool,
29.40/29.60	                                                                bool),
29.40/29.60	                                                 hAPP_f2063540982l_bool,
29.40/29.60	                                                 app_encode_app(fun_Ho287446294a_bool,
29.40/29.60	                                                                fun_fu1441721944l_bool,
29.40/29.60	                                                                hoare_1546678894rivs_a,
29.40/29.60	                                                                g)),
29.40/29.60	                                  app_encode_app(fun_Ho287446294a_bool,
29.40/29.60	                                                 fun_Ho287446294a_bool,
29.40/29.60	                                                 app_encode_app(fun_fu410471825a_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_Ho287446294a_bool,
29.40/29.60	                                                                fun_Ho287446294a_bool),
29.40/29.60	                                                                hAPP_f909437487a_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                hoare_1544627872iple_a,
29.40/29.60	                                                                fun_fu410471825a_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_Ho611385006a_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                hoare_1544627872iple_a,
29.40/29.60	                                                                fun_fu410471825a_bool),
29.40/29.60	                                                                hAPP_H762155206a_bool,
29.40/29.60	                                                                insert1051021594iple_a),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                hoare_1544627872iple_a,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                com,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                hoare_1544627872iple_a),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                com,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                hoare_1544627872iple_a)),
29.40/29.60	                                                                hoare_196563068iple_a,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu281355805e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                fun_a_fun_state_bool),
29.40/29.60	                                                                hAPP_f762886889e_bool,
29.40/29.60	                                                                cOMBK_1458035955bool_a),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                bool,
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_bo1936561970e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                bool,
29.40/29.60	                                                                fun_state_bool),
29.40/29.60	                                                                hAPP_b2019457360e_bool,
29.40/29.60	                                                                cOMBK_bool_state),
29.40/29.60	                                                                fFalse))),c),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu281355805e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                fun_a_fun_state_bool),
29.40/29.60	                                                                hAPP_f762886889e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_a_2117018159e_bool,
29.40/29.60	                                                                fun_fu281355805e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu734682033e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_a_2117018159e_bool,
29.40/29.60	                                                                fun_fu281355805e_bool),
29.40/29.60	                                                                hAPP_f1261923407e_bool,
29.40/29.60	                                                                cOMBC_892787026e_bool),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_a_1632297036l_bool,
29.40/29.60	                                                                fun_a_2117018159e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu2008829792e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_a_1632297036l_bool,
29.40/29.60	                                                                fun_a_2117018159e_bool),
29.40/29.60	                                                                hAPP_f963367678e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu1047394976e_bool,
29.40/29.60	                                                                fun_fu2008829792e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu1631777789e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_fu1047394976e_bool,
29.40/29.60	                                                                fun_fu2008829792e_bool),
29.40/29.60	                                                                hAPP_f375255701e_bool,
29.40/29.60	                                                                cOMBB_145932198bool_a),
29.40/29.60	                                                                cOMBS_1378840469l_bool)),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                fun_a_1632297036l_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu2118559873l_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_a_fun_state_bool,
29.40/29.60	                                                                fun_a_1632297036l_bool),
29.40/29.60	                                                                hAPP_f1509969235l_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu1658206819l_bool,
29.40/29.60	                                                                fun_fu2118559873l_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu1340893257l_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_fu1658206819l_bool,
29.40/29.60	                                                                fun_fu2118559873l_bool),
29.40/29.60	                                                                hAPP_f1178339559l_bool,
29.40/29.60	                                                                cOMBB_1355796797bool_a),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_bo1549164019l_bool,
29.40/29.60	                                                                fun_fu1658206819l_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu1873708859l_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_bo1549164019l_bool,
29.40/29.60	                                                                fun_fu1658206819l_bool),
29.40/29.60	                                                                hAPP_f1561913689l_bool,
29.40/29.60	                                                                cOMBB_188601460_state),
29.40/29.60	                                                                fconj))),p)))),
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu373216837e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_state_bool,
29.40/29.60	                                                                fun_state_bool),
29.40/29.60	                                                                hAPP_f1759915619e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_bool_bool,
29.40/29.60	                                                                fun_fu373216837e_bool,
29.40/29.60	                                                                app_encode_app(
29.40/29.60	                                                                fun_fu88048803e_bool,
29.40/29.60	                                                                app_encode_fun(
29.40/29.60	                                                                fun_bool_bool,
29.40/29.60	                                                                fun_fu373216837e_bool),
29.40/29.60	                                                                hAPP_f2073279419e_bool,
29.40/29.60	                                                                cOMBB_160679318_state),
29.40/29.60	                                                                fNot)),b))))),
29.40/29.60	                                                 bot_bo1766443648a_bool))))).
29.40/29.60	tff('7', plain,
29.40/29.60	    ~ app_encode_app(bool, $o, hBOOL, 
29.40/29.60	        app_encode_app(fun_Ho287446294a_bool, bool, 
29.40/29.60	          app_encode_app(fun_fu1441721944l_bool, 
29.40/29.60	            app_encode_fun(fun_Ho287446294a_bool, bool), 
29.40/29.60	            hAPP_f2063540982l_bool, 
29.40/29.60	            app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
29.40/29.60	              hoare_1546678894rivs_a, g)), 
29.40/29.60	          app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.40/29.60	            app_encode_app(fun_fu410471825a_bool, 
29.40/29.60	              app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
29.40/29.60	              hAPP_f909437487a_bool, 
29.40/29.60	              app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
29.40/29.60	                app_encode_app(fun_Ho611385006a_bool, 
29.40/29.60	                  app_encode_fun(hoare_1544627872iple_a, 
29.40/29.60	                    fun_fu410471825a_bool), hAPP_H762155206a_bool, 
29.40/29.60	                  insert1051021594iple_a), 
29.40/29.60	                app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
29.40/29.60	                  app_encode_app(com, 
29.40/29.60	                    app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                      hoare_1544627872iple_a), 
29.40/29.60	                    app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                      app_encode_fun(com, 
29.40/29.60	                        app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                          hoare_1544627872iple_a)), hoare_196563068iple_a, 
29.40/29.60	                      app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.40/29.60	                        app_encode_app(fun_fu281355805e_bool, 
29.40/29.60	                          app_encode_fun(fun_state_bool, 
29.40/29.60	                            fun_a_fun_state_bool), hAPP_f762886889e_bool, 
29.40/29.60	                          cOMBK_1458035955bool_a), 
29.40/29.60	                        app_encode_app(bool, fun_state_bool, 
29.40/29.60	                          app_encode_app(fun_bo1936561970e_bool, 
29.40/29.60	                            app_encode_fun(bool, fun_state_bool), 
29.40/29.60	                            hAPP_b2019457360e_bool, cOMBK_bool_state), 
29.40/29.60	                          fFalse))), c), 
29.40/29.60	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.40/29.60	                    app_encode_app(fun_fu281355805e_bool, 
29.40/29.60	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.40/29.60	                      hAPP_f762886889e_bool, 
29.40/29.60	                      app_encode_app(fun_a_2117018159e_bool, 
29.40/29.60	                        fun_fu281355805e_bool, 
29.40/29.60	                        app_encode_app(fun_fu734682033e_bool, 
29.40/29.60	                          app_encode_fun(fun_a_2117018159e_bool, 
29.40/29.60	                            fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
29.40/29.60	                          cOMBC_892787026e_bool), 
29.40/29.60	                        app_encode_app(fun_a_1632297036l_bool, 
29.40/29.60	                          fun_a_2117018159e_bool, 
29.40/29.60	                          app_encode_app(fun_fu2008829792e_bool, 
29.40/29.60	                            app_encode_fun(fun_a_1632297036l_bool, 
29.40/29.60	                              fun_a_2117018159e_bool), 
29.40/29.60	                            hAPP_f963367678e_bool, 
29.40/29.60	                            app_encode_app(fun_fu1047394976e_bool, 
29.40/29.60	                              fun_fu2008829792e_bool, 
29.40/29.60	                              app_encode_app(fun_fu1631777789e_bool, 
29.40/29.60	                                app_encode_fun(fun_fu1047394976e_bool, 
29.40/29.60	                                  fun_fu2008829792e_bool), 
29.40/29.60	                                hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
29.40/29.60	                              cOMBS_1378840469l_bool)), 
29.40/29.60	                          app_encode_app(fun_a_fun_state_bool, 
29.40/29.60	                            fun_a_1632297036l_bool, 
29.40/29.60	                            app_encode_app(fun_fu2118559873l_bool, 
29.40/29.60	                              app_encode_fun(fun_a_fun_state_bool, 
29.40/29.60	                                fun_a_1632297036l_bool), 
29.40/29.60	                              hAPP_f1509969235l_bool, 
29.40/29.60	                              app_encode_app(fun_fu1658206819l_bool, 
29.40/29.60	                                fun_fu2118559873l_bool, 
29.40/29.60	                                app_encode_app(fun_fu1340893257l_bool, 
29.40/29.60	                                  app_encode_fun(fun_fu1658206819l_bool, 
29.40/29.60	                                    fun_fu2118559873l_bool), 
29.40/29.60	                                  hAPP_f1178339559l_bool, 
29.40/29.60	                                  cOMBB_1355796797bool_a), 
29.51/29.60	                                app_encode_app(fun_bo1549164019l_bool, 
29.51/29.60	                                  fun_fu1658206819l_bool, 
29.51/29.60	                                  app_encode_app(fun_fu1873708859l_bool, 
29.51/29.60	                                    app_encode_fun(fun_bo1549164019l_bool, 
29.51/29.60	                                      fun_fu1658206819l_bool), 
29.51/29.60	                                    hAPP_f1561913689l_bool, 
29.51/29.60	                                    cOMBB_188601460_state), fconj))), p)))), 
29.51/29.60	                    app_encode_app(fun_state_bool, fun_state_bool, 
29.51/29.60	                      app_encode_app(fun_fu373216837e_bool, 
29.51/29.60	                        app_encode_fun(fun_state_bool, fun_state_bool), 
29.51/29.60	                        hAPP_f1759915619e_bool, 
29.51/29.60	                        app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
29.51/29.60	                          app_encode_app(fun_fu88048803e_bool, 
29.51/29.60	                            app_encode_fun(fun_bool_bool, 
29.51/29.60	                              fun_fu373216837e_bool), 
29.51/29.60	                            hAPP_f2073279419e_bool, cOMBB_160679318_state), 
29.51/29.60	                          fNot)), b))))), bot_bo1766443648a_bool))),
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
29.51/29.60	tff(zf_stmt_1248, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
29.51/29.60	tff('8', plain, ![X1983 : bool]: (X1983 = fTrue | X1983 = fFalse),
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_1248])).
29.51/29.60	tff(zf_stmt_952, axiom,
29.51/29.60	  (app_encode_app(bool,$o,hBOOL,
29.51/29.60	                  app_encode_app(fun_Ho611385006a_bool,bool,
29.51/29.60	                                 finite701293802a_bool,insert1051021594iple_a)))).
29.51/29.60	tff('9', plain,
29.51/29.60	    app_encode_app(bool, $o, hBOOL, 
29.51/29.60	      app_encode_app(fun_Ho611385006a_bool, bool, finite701293802a_bool, 
29.51/29.60	        insert1051021594iple_a)),
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_952])).
29.51/29.60	tff(zf_stmt_1247, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
29.51/29.60	tff('10', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_1247])).
29.51/29.60	tff('11', plain,
29.51/29.60	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
29.51/29.60	    inference('sup-', [status(thm)], ['8', '10'])).
29.51/29.60	tff('12', plain,
29.51/29.60	    (~ $true
29.51/29.60	     | app_encode_app(fun_Ho611385006a_bool, bool, finite701293802a_bool, 
29.51/29.60	         insert1051021594iple_a)
29.51/29.60	        = fTrue),
29.51/29.60	    inference('sup-', [status(thm)], ['9', '11'])).
29.51/29.60	tff('13', plain,
29.51/29.60	    app_encode_app(fun_Ho611385006a_bool, bool, finite701293802a_bool, 
29.51/29.60	      insert1051021594iple_a)
29.51/29.60	     = fTrue,
29.51/29.60	    inference('simplify', [status(thm)], ['12'])).
29.51/29.60	tff('14', plain, app_encode_app(bool, $o, hBOOL, fTrue),
29.51/29.60	    inference('demod', [status(thm)], ['9', '13'])).
29.51/29.60	tff('15', plain,
29.51/29.60	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = fFalse),
29.51/29.60	    inference('sup+', [status(thm)], ['8', '14'])).
29.51/29.60	tff(zf_stmt_663, axiom,
29.51/29.60	  (![X_1:hoare_1544627872iple_a]:
29.51/29.60	     (app_encode_app(bool,$o,hBOOL,
29.51/29.60	                     app_encode_app(hoare_1544627872iple_a,bool,
29.51/29.60	                                    app_encode_app(fun_Ho287446294a_bool,
29.51/29.60	                                                   app_encode_fun(hoare_1544627872iple_a,
29.51/29.60	                                                                  bool),
29.51/29.60	                                                   hAPP_H2006434664a_bool,
29.51/29.60	                                                   bot_bo1766443648a_bool),
29.51/29.60	                                    X_1)) <=>
29.51/29.60	      app_encode_app(bool,$o,hBOOL,bot_bot_bool)))).
29.51/29.60	tff('16', plain,
29.51/29.60	    ![X329 : hoare_1544627872iple_a]:
29.51/29.60	      (app_encode_app(bool, $o, hBOOL, 
29.51/29.60	         app_encode_app(hoare_1544627872iple_a, bool, 
29.51/29.60	           app_encode_app(fun_Ho287446294a_bool, 
29.51/29.60	             app_encode_fun(hoare_1544627872iple_a, bool), 
29.51/29.60	             hAPP_H2006434664a_bool, bot_bo1766443648a_bool), X329))
29.51/29.60	       | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_663])).
29.51/29.60	tff(zf_stmt_603, axiom,
29.51/29.60	  (bot_bo1766443648a_bool =
29.51/29.60	   app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
29.51/29.60	                  collec445968053iple_a,
29.51/29.60	                  app_encode_app(bool,fun_Ho287446294a_bool,
29.51/29.60	                                 app_encode_app(fun_bo873159128a_bool,
29.51/29.60	                                                app_encode_fun(bool,
29.51/29.60	                                                               fun_Ho287446294a_bool),
29.51/29.60	                                                hAPP_b704538998a_bool,
29.51/29.60	                                                cOMBK_329760839iple_a),
29.51/29.60	                                 fFalse)))).
29.51/29.60	tff('17', plain,
29.51/29.60	    bot_bo1766443648a_bool
29.51/29.60	     = app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
29.51/29.60	         collec445968053iple_a, 
29.51/29.60	         app_encode_app(bool, fun_Ho287446294a_bool, 
29.51/29.60	           app_encode_app(fun_bo873159128a_bool, 
29.51/29.60	             app_encode_fun(bool, fun_Ho287446294a_bool), 
29.51/29.60	             hAPP_b704538998a_bool, cOMBK_329760839iple_a), fFalse)),
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_603])).
29.51/29.60	tff('18', plain,
29.51/29.60	    bot_bo1766443648a_bool
29.51/29.60	     = app_encode_app(bool, fun_Ho287446294a_bool, 
29.51/29.60	         app_encode_app(fun_bo873159128a_bool, 
29.51/29.60	           app_encode_fun(bool, fun_Ho287446294a_bool), 
29.51/29.60	           hAPP_b704538998a_bool, cOMBK_329760839iple_a), fFalse),
29.51/29.60	    inference('demod', [status(thm)], ['17', '4'])).
29.51/29.60	tff(zf_stmt_1284, axiom,
29.51/29.60	  (![P:bool,Q:hoare_1544627872iple_a]:
29.51/29.60	     (app_encode_app(hoare_1544627872iple_a,bool,
29.51/29.60	                     app_encode_app(fun_Ho287446294a_bool,
29.51/29.60	                                    app_encode_fun(hoare_1544627872iple_a,
29.51/29.60	                                                   bool),
29.51/29.60	                                    hAPP_H2006434664a_bool,
29.51/29.60	                                    app_encode_app(bool,
29.51/29.60	                                                   fun_Ho287446294a_bool,
29.51/29.60	                                                   app_encode_app(fun_bo873159128a_bool,
29.51/29.60	                                                                  app_encode_fun(
29.51/29.60	                                                                  bool,
29.51/29.60	                                                                  fun_Ho287446294a_bool),
29.51/29.60	                                                                  hAPP_b704538998a_bool,
29.51/29.60	                                                                  cOMBK_329760839iple_a),
29.51/29.60	                                                   P)),
29.51/29.60	                     Q) =
29.51/29.60	      P))).
29.51/29.60	tff('19', plain,
29.51/29.60	    ![X2062 : bool, X2063 : hoare_1544627872iple_a]:
29.51/29.60	      app_encode_app(hoare_1544627872iple_a, bool, 
29.51/29.60	        app_encode_app(fun_Ho287446294a_bool, 
29.51/29.60	          app_encode_fun(hoare_1544627872iple_a, bool), 
29.51/29.60	          hAPP_H2006434664a_bool, 
29.51/29.60	          app_encode_app(bool, fun_Ho287446294a_bool, 
29.51/29.60	            app_encode_app(fun_bo873159128a_bool, 
29.51/29.60	              app_encode_fun(bool, fun_Ho287446294a_bool), 
29.51/29.60	              hAPP_b704538998a_bool, cOMBK_329760839iple_a), X2062)), X2063)
29.51/29.60	       = X2062,
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_1284])).
29.51/29.60	tff('20', plain,
29.51/29.60	    ![X0 : hoare_1544627872iple_a]:
29.51/29.60	      app_encode_app(hoare_1544627872iple_a, bool, 
29.51/29.60	        app_encode_app(fun_Ho287446294a_bool, 
29.51/29.60	          app_encode_fun(hoare_1544627872iple_a, bool), 
29.51/29.60	          hAPP_H2006434664a_bool, bot_bo1766443648a_bool), X0)
29.51/29.60	       = fFalse,
29.51/29.60	    inference('sup+', [status(thm)], ['18', '19'])).
29.51/29.60	tff('21', plain,
29.51/29.60	    (app_encode_app(bool, $o, hBOOL, fFalse)
29.51/29.60	     | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
29.51/29.60	    inference('demod', [status(thm)], ['16', '20'])).
29.51/29.60	tff('22', plain, ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool),
29.51/29.60	    inference('clc', [status(thm)], ['21', '10'])).
29.51/29.60	tff('23', plain, (~ $true | bot_bot_bool = fFalse),
29.51/29.60	    inference('sup-', [status(thm)], ['15', '22'])).
29.51/29.60	tff('24', plain, bot_bot_bool = fFalse,
29.51/29.60	    inference('simplify', [status(thm)], ['23'])).
29.51/29.60	tff('25', plain,
29.51/29.60	    ~ app_encode_app(bool, $o, hBOOL, 
29.51/29.60	        app_encode_app(fun_Ho287446294a_bool, bool, 
29.51/29.60	          app_encode_app(fun_fu1441721944l_bool, 
29.51/29.60	            app_encode_fun(fun_Ho287446294a_bool, bool), 
29.51/29.60	            hAPP_f2063540982l_bool, 
29.51/29.60	            app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
29.51/29.60	              hoare_1546678894rivs_a, g)), 
29.51/29.60	          app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
29.51/29.60	            app_encode_app(fun_Ho965678415a_bool, 
29.51/29.60	              app_encode_fun(hoare_1544627872iple_a, fun_Ho287446294a_bool), 
29.51/29.60	              hAPP_H1472549281a_bool, fequal1057774495iple_a), 
29.51/29.60	            app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
29.51/29.60	              app_encode_app(com, 
29.51/29.60	                app_encode_fun(fun_a_fun_state_bool, hoare_1544627872iple_a), 
29.51/29.60	                app_encode_app(fun_a_fun_state_bool, 
29.51/29.60	                  app_encode_fun(com, 
29.51/29.60	                    app_encode_fun(fun_a_fun_state_bool, 
29.51/29.60	                      hoare_1544627872iple_a)), hoare_196563068iple_a, 
29.51/29.60	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.51/29.60	                    app_encode_app(fun_fu281355805e_bool, 
29.51/29.60	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.51/29.60	                      hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
29.51/29.60	                    app_encode_app(bool, fun_state_bool, 
29.51/29.60	                      app_encode_app(fun_bo1936561970e_bool, 
29.51/29.60	                        app_encode_fun(bool, fun_state_bool), 
29.51/29.60	                        hAPP_b2019457360e_bool, cOMBK_bool_state), 
29.51/29.60	                      bot_bot_bool))), c), 
29.51/29.60	              app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.51/29.60	                app_encode_app(fun_fu281355805e_bool, 
29.51/29.60	                  app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.51/29.60	                  hAPP_f762886889e_bool, 
29.51/29.60	                  app_encode_app(fun_a_2117018159e_bool, 
29.51/29.60	                    fun_fu281355805e_bool, 
29.51/29.60	                    app_encode_app(fun_fu734682033e_bool, 
29.51/29.60	                      app_encode_fun(fun_a_2117018159e_bool, 
29.51/29.60	                        fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
29.51/29.60	                      cOMBC_892787026e_bool), 
29.51/29.60	                    app_encode_app(fun_a_1632297036l_bool, 
29.51/29.60	                      fun_a_2117018159e_bool, 
29.51/29.60	                      app_encode_app(fun_fu2008829792e_bool, 
29.51/29.60	                        app_encode_fun(fun_a_1632297036l_bool, 
29.51/29.60	                          fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
29.51/29.60	                        app_encode_app(fun_fu1047394976e_bool, 
29.51/29.60	                          fun_fu2008829792e_bool, 
29.51/29.60	                          app_encode_app(fun_fu1631777789e_bool, 
29.51/29.60	                            app_encode_fun(fun_fu1047394976e_bool, 
29.51/29.60	                              fun_fu2008829792e_bool), 
29.51/29.60	                            hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
29.51/29.60	                          cOMBS_1378840469l_bool)), 
29.51/29.60	                      app_encode_app(fun_a_fun_state_bool, 
29.51/29.60	                        fun_a_1632297036l_bool, 
29.51/29.60	                        app_encode_app(fun_fu2118559873l_bool, 
29.51/29.60	                          app_encode_fun(fun_a_fun_state_bool, 
29.51/29.60	                            fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
29.51/29.60	                          app_encode_app(fun_fu1658206819l_bool, 
29.51/29.60	                            fun_fu2118559873l_bool, 
29.51/29.60	                            app_encode_app(fun_fu1340893257l_bool, 
29.51/29.60	                              app_encode_fun(fun_fu1658206819l_bool, 
29.51/29.60	                                fun_fu2118559873l_bool), 
29.51/29.60	                              hAPP_f1178339559l_bool, cOMBB_1355796797bool_a), 
29.51/29.60	                            app_encode_app(fun_bo1549164019l_bool, 
29.51/29.60	                              fun_fu1658206819l_bool, 
29.51/29.60	                              app_encode_app(fun_fu1873708859l_bool, 
29.51/29.60	                                app_encode_fun(fun_bo1549164019l_bool, 
29.51/29.60	                                  fun_fu1658206819l_bool), 
29.51/29.60	                                hAPP_f1561913689l_bool, 
29.51/29.60	                                cOMBB_188601460_state), fconj))), p)))), 
29.51/29.60	                app_encode_app(fun_state_bool, fun_state_bool, 
29.51/29.60	                  app_encode_app(fun_fu373216837e_bool, 
29.51/29.60	                    app_encode_fun(fun_state_bool, fun_state_bool), 
29.51/29.60	                    hAPP_f1759915619e_bool, 
29.51/29.60	                    app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
29.51/29.60	                      app_encode_app(fun_fu88048803e_bool, 
29.51/29.60	                        app_encode_fun(fun_bool_bool, fun_fu373216837e_bool), 
29.51/29.60	                        hAPP_f2073279419e_bool, cOMBB_160679318_state), fNot)), 
29.51/29.60	                  b)))))),
29.51/29.60	    inference('demod', [status(thm)], ['7', '24', '5'])).
29.51/29.60	tff('26', plain,
29.51/29.60	    (~ $true
29.51/29.60	     | app_encode_app(bool, $o, hBOOL, 
29.51/29.60	         app_encode_app(state, bool, 
29.51/29.60	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
29.51/29.60	             hAPP_state_bool, 
29.51/29.60	             app_encode_app(bool, fun_state_bool, 
29.51/29.60	               app_encode_app(fun_bo1936561970e_bool, 
29.51/29.60	                 app_encode_fun(bool, fun_state_bool), 
29.51/29.60	                 hAPP_b2019457360e_bool, cOMBK_bool_state), bot_bot_bool)), 
29.51/29.60	           sk_S_2(
29.51/29.60	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.51/29.60	               app_encode_app(fun_fu281355805e_bool, 
29.51/29.60	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.51/29.60	                 hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
29.51/29.60	               app_encode_app(bool, fun_state_bool, 
29.51/29.60	                 app_encode_app(fun_bo1936561970e_bool, 
29.51/29.60	                   app_encode_fun(bool, fun_state_bool), 
29.51/29.60	                   hAPP_b2019457360e_bool, cOMBK_bool_state), bot_bot_bool)), 
29.51/29.60	             app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
29.51/29.60	               app_encode_app(fun_fu281355805e_bool, 
29.51/29.60	                 app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
29.51/29.60	                 hAPP_f762886889e_bool, 
29.51/29.60	                 app_encode_app(fun_a_2117018159e_bool, 
29.51/29.60	                   fun_fu281355805e_bool, 
29.51/29.60	                   app_encode_app(fun_fu734682033e_bool, 
29.51/29.60	                     app_encode_fun(fun_a_2117018159e_bool, 
29.51/29.60	                       fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
29.51/29.60	                     cOMBC_892787026e_bool), 
29.51/29.60	                   app_encode_app(fun_a_1632297036l_bool, 
29.51/29.60	                     fun_a_2117018159e_bool, 
29.51/29.60	                     app_encode_app(fun_fu2008829792e_bool, 
29.51/29.60	                       app_encode_fun(fun_a_1632297036l_bool, 
29.51/29.60	                         fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
29.51/29.60	                       app_encode_app(fun_fu1047394976e_bool, 
29.51/29.60	                         fun_fu2008829792e_bool, 
29.51/29.60	                         app_encode_app(fun_fu1631777789e_bool, 
29.51/29.60	                           app_encode_fun(fun_fu1047394976e_bool, 
29.51/29.60	                             fun_fu2008829792e_bool), hAPP_f375255701e_bool, 
29.51/29.60	                           cOMBB_145932198bool_a), cOMBS_1378840469l_bool)), 
29.51/29.60	                     app_encode_app(fun_a_fun_state_bool, 
29.51/29.60	                       fun_a_1632297036l_bool, 
29.51/29.60	                       app_encode_app(fun_fu2118559873l_bool, 
29.51/29.60	                         app_encode_fun(fun_a_fun_state_bool, 
29.51/29.60	                           fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
29.51/29.60	                         app_encode_app(fun_fu1658206819l_bool, 
29.51/29.60	                           fun_fu2118559873l_bool, 
29.51/29.60	                           app_encode_app(fun_fu1340893257l_bool, 
29.51/29.60	                             app_encode_fun(fun_fu1658206819l_bool, 
29.51/29.60	                               fun_fu2118559873l_bool), 
29.51/29.60	                             hAPP_f1178339559l_bool, cOMBB_1355796797bool_a), 
29.51/29.60	                           app_encode_app(fun_bo1549164019l_bool, 
29.51/29.60	                             fun_fu1658206819l_bool, 
29.51/29.60	                             app_encode_app(fun_fu1873708859l_bool, 
29.51/29.60	                               app_encode_fun(fun_bo1549164019l_bool, 
29.51/29.60	                                 fun_fu1658206819l_bool), 
29.51/29.60	                               hAPP_f1561913689l_bool, cOMBB_188601460_state), 
29.51/29.60	                             fconj))), p)))), 
29.51/29.60	               app_encode_app(fun_state_bool, fun_state_bool, 
29.51/29.60	                 app_encode_app(fun_fu373216837e_bool, 
29.51/29.60	                   app_encode_fun(fun_state_bool, fun_state_bool), 
29.51/29.60	                   hAPP_f1759915619e_bool, 
29.51/29.60	                   app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
29.51/29.60	                     app_encode_app(fun_fu88048803e_bool, 
29.51/29.60	                       app_encode_fun(fun_bool_bool, fun_fu373216837e_bool), 
29.51/29.60	                       hAPP_f2073279419e_bool, cOMBB_160679318_state), fNot)), 
29.51/29.60	                 b)), c, g)))),
29.51/29.60	    inference('sup-', [status(thm)], ['6', '25'])).
29.51/29.60	tff(zf_stmt_1259, axiom,
29.51/29.60	  (![P:bool,Q:state]:
29.51/29.60	     (app_encode_app(state,bool,
29.51/29.60	                     app_encode_app(fun_state_bool,
29.51/29.60	                                    app_encode_fun(state,bool),
29.51/29.60	                                    hAPP_state_bool,
29.51/29.60	                                    app_encode_app(bool,fun_state_bool,
29.51/29.60	                                                   app_encode_app(fun_bo1936561970e_bool,
29.51/29.60	                                                                  app_encode_fun(
29.51/29.60	                                                                  bool,
29.51/29.60	                                                                  fun_state_bool),
29.51/29.60	                                                                  hAPP_b2019457360e_bool,
29.51/29.60	                                                                  cOMBK_bool_state),
29.51/29.60	                                                   P)),
29.51/29.60	                     Q) =
29.51/29.60	      P))).
29.51/29.60	tff('27', plain,
29.51/29.60	    ![X2003 : bool, X2004 : state]:
29.51/29.60	      app_encode_app(state, bool, 
29.51/29.60	        app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
29.51/29.60	          hAPP_state_bool, 
29.51/29.60	          app_encode_app(bool, fun_state_bool, 
29.51/29.60	            app_encode_app(fun_bo1936561970e_bool, 
29.51/29.60	              app_encode_fun(bool, fun_state_bool), hAPP_b2019457360e_bool, 
29.51/29.60	              cOMBK_bool_state), X2003)), X2004)
29.51/29.60	       = X2003,
29.51/29.60	    inference('cnf', [status(esa)], [zf_stmt_1259])).
29.51/29.60	tff('28', plain, (~ $true | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
29.51/29.60	    inference('demod', [status(thm)], ['26', '27'])).
29.51/29.60	tff('29', plain, app_encode_app(bool, $o, hBOOL, bot_bot_bool),
29.51/29.60	    inference('simplify', [status(thm)], ['28'])).
29.51/29.60	tff('30', plain, ~ $true, inference('sup-', [status(thm)], ['29', '22'])).
29.51/29.60	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
29.51/29.60	
29.51/29.60	% SZS output end Refutation
29.51/29.60	EOF
