0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n078.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 09:29:08 CST 2018
9.17/9.34	% done 2855 iterations in 9.135s
9.17/9.34	% SZS status Theorem for 'stdin'
9.17/9.34	% SZS output start Refutation
9.17/9.34	tff(zf_stmt_183, axiom,
9.17/9.34	  (![Y_2:hoare_1927711152iple_a]:
9.17/9.34	     (~
9.17/9.34	       (![Fun1:fun_a_fun_state_bool,Com:com,Fun2:fun_a_fun_state_bool]:
9.17/9.34	          (Y_2 !=
9.17/9.34	           app_encode_app(fun_a_fun_state_bool,hoare_1927711152iple_a,
9.17/9.34	                          app_encode_app(com,
9.17/9.34	                                         app_encode_fun(fun_a_fun_state_bool,
9.17/9.34	                                                        hoare_1927711152iple_a),
9.17/9.34	                                         app_encode_app(fun_a_fun_state_bool,
9.17/9.34	                                                        app_encode_fun(
9.17/9.34	                                                        com,
9.17/9.34	                                                        app_encode_fun(
9.17/9.34	                                                        fun_a_fun_state_bool,
9.17/9.34	                                                        hoare_1927711152iple_a)),
9.17/9.34	                                                        hoare_1652181356iple_a,
9.17/9.34	                                                        Fun1),
9.17/9.34	                                         Com),
9.17/9.34	                          Fun2)))))).
9.17/9.34	tff('0', plain,
9.17/9.34	    ![X128 : hoare_1927711152iple_a]:
9.17/9.34	      X128
9.17/9.34	       = app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
9.17/9.34	           app_encode_app(com, 
9.17/9.34	             app_encode_fun(fun_a_fun_state_bool, hoare_1927711152iple_a), 
9.17/9.34	             app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	               app_encode_fun(com, 
9.17/9.34	                 app_encode_fun(fun_a_fun_state_bool, hoare_1927711152iple_a)), 
9.17/9.34	               hoare_1652181356iple_a, sk_Fun1(X128)), sk_Com(X128)), 
9.17/9.34	           sk_Fun2(X128)),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_183])).
9.17/9.34	tff(zf_stmt_143, axiom,
9.17/9.34	  (![Ga:fun_Ho1877127206a_bool,Ca:com,Q_1:fun_a_fun_state_bool,
9.17/9.34	     Pa:fun_a_fun_state_bool]:
9.17/9.34	     ((![Z_1:x_a,S:state]:
9.17/9.34	         (app_encode_app(bool,$o,hBOOL,
9.17/9.34	                         app_encode_app(state,bool,
9.17/9.34	                                        app_encode_app(fun_state_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       state,bool),
9.17/9.34	                                                       hAPP_state_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       x_a,fun_state_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       x_a,fun_state_bool),
9.17/9.34	                                                       hAPP_a2036067514e_bool,
9.17/9.34	                                                       Pa),Z_1)),
9.17/9.34	                                        S)) =>
9.17/9.34	          app_encode_app(bool,$o,hBOOL,
9.17/9.34	                         app_encode_app(fun_Ho1877127206a_bool,bool,
9.17/9.34	                                        app_encode_app(fun_fu832487784l_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       fun_Ho1877127206a_bool,
9.17/9.34	                                                       bool),
9.17/9.34	                                                       hAPP_f1454306822l_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_Ho1877127206a_bool,
9.17/9.34	                                                       fun_fu832487784l_bool,
9.17/9.34	                                                       hoare_1617968510rivs_a,
9.17/9.34	                                                       Ga)),
9.17/9.34	                                        app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                       fun_Ho1877127206a_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_fu1585556401a_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       fun_Ho1877127206a_bool,
9.17/9.34	                                                       fun_Ho1877127206a_bool),
9.17/9.34	                                                       hAPP_f16502863a_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       hoare_1927711152iple_a,
9.17/9.34	                                                       fun_fu1585556401a_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_Ho1630563774a_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       hoare_1927711152iple_a,
9.17/9.34	                                                       fun_fu1585556401a_bool),
9.17/9.34	                                                       hAPP_H1975128022a_bool,
9.17/9.34	                                                       insert1434104874iple_a),
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       hoare_1927711152iple_a,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       com,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       hoare_1927711152iple_a),
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       com,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       hoare_1927711152iple_a)),
9.17/9.34	                                                       hoare_1652181356iple_a,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_state_bool,
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       cOMBK_1458035955bool_a,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       state,fun_state_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_st1506752259e_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       state,fun_state_bool),
9.17/9.34	                                                       hAPP_s1806633685e_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_st1506752259e_bool,
9.17/9.34	                                                       fun_st1506752259e_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_fu402792811e_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       fun_st1506752259e_bool,
9.17/9.34	                                                       fun_st1506752259e_bool),
9.17/9.34	                                                       hAPP_f817621513e_bool,
9.17/9.34	                                                       cOMBC_2027030106e_bool),
9.17/9.34	                                                       fequal_state)),S))),Ca),
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_state_bool,
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       cOMBK_1458035955bool_a,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       x_a,fun_state_bool,
9.17/9.34	                                                       app_encode_app(
9.17/9.34	                                                       fun_a_fun_state_bool,
9.17/9.34	                                                       app_encode_fun(
9.17/9.34	                                                       x_a,fun_state_bool),
9.17/9.34	                                                       hAPP_a2036067514e_bool,
9.17/9.34	                                                       Q_1),Z_1))))),
9.17/9.34	                                                       bot_bo1208640912a_bool))))) =>
9.17/9.34	      app_encode_app(bool,$o,hBOOL,
9.17/9.34	                     app_encode_app(fun_Ho1877127206a_bool,bool,
9.17/9.34	                                    app_encode_app(fun_fu832487784l_bool,
9.17/9.34	                                                   app_encode_fun(fun_Ho1877127206a_bool,
9.17/9.34	                                                                  bool),
9.17/9.34	                                                   hAPP_f1454306822l_bool,
9.17/9.34	                                                   app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                                  fun_fu832487784l_bool,
9.17/9.34	                                                                  hoare_1617968510rivs_a,
9.17/9.34	                                                                  Ga)),
9.17/9.34	                                    app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                   fun_Ho1877127206a_bool,
9.17/9.34	                                                   app_encode_app(fun_fu1585556401a_bool,
9.17/9.34	                                                                  app_encode_fun(
9.17/9.34	                                                                  fun_Ho1877127206a_bool,
9.17/9.34	                                                                  fun_Ho1877127206a_bool),
9.17/9.34	                                                                  hAPP_f16502863a_bool,
9.17/9.34	                                                                  app_encode_app(
9.17/9.34	                                                                  hoare_1927711152iple_a,
9.17/9.34	                                                                  fun_fu1585556401a_bool,
9.17/9.34	                                                                  app_encode_app(
9.17/9.34	                                                                  fun_Ho1630563774a_bool,
9.17/9.34	                                                                  app_encode_fun(
9.17/9.34	                                                                  hoare_1927711152iple_a,
9.17/9.34	                                                                  fun_fu1585556401a_bool),
9.17/9.34	                                                                  hAPP_H1975128022a_bool,
9.17/9.34	                                                                  insert1434104874iple_a),
9.17/9.34	                                                                  app_encode_app(
9.17/9.34	                                                                  fun_a_fun_state_bool,
9.17/9.34	                                                                  hoare_1927711152iple_a,
9.17/9.34	                                                                  app_encode_app(
9.17/9.34	                                                                  com,
9.17/9.34	                                                                  app_encode_fun(
9.17/9.34	                                                                  fun_a_fun_state_bool,
9.17/9.34	                                                                  hoare_1927711152iple_a),
9.17/9.34	                                                                  app_encode_app(
9.17/9.34	                                                                  fun_a_fun_state_bool,
9.17/9.34	                                                                  app_encode_fun(
9.17/9.34	                                                                  com,
9.17/9.34	                                                                  app_encode_fun(
9.17/9.34	                                                                  fun_a_fun_state_bool,
9.17/9.34	                                                                  hoare_1927711152iple_a)),
9.17/9.34	                                                                  hoare_1652181356iple_a,
9.17/9.34	                                                                  Pa),Ca),Q_1))),
9.17/9.34	                                                   bot_bo1208640912a_bool)))))).
9.17/9.34	tff('1', plain,
9.17/9.34	    ![X19 : fun_Ho1877127206a_bool, X20 : fun_a_fun_state_bool, X21 : com, 
9.17/9.34	      X22 : fun_a_fun_state_bool]:
9.17/9.34	      (app_encode_app(bool, $o, hBOOL, 
9.17/9.34	         app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	           app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	             app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	             hAPP_f1454306822l_bool, 
9.17/9.34	             app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
9.17/9.34	               hoare_1617968510rivs_a, X19)), 
9.17/9.34	           app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	             app_encode_app(fun_fu1585556401a_bool, 
9.17/9.34	               app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
9.17/9.34	               hAPP_f16502863a_bool, 
9.17/9.34	               app_encode_app(hoare_1927711152iple_a, 
9.17/9.34	                 fun_fu1585556401a_bool, 
9.17/9.34	                 app_encode_app(fun_Ho1630563774a_bool, 
9.17/9.34	                   app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                     fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
9.17/9.34	                   insert1434104874iple_a), 
9.17/9.34	                 app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                   hoare_1927711152iple_a, 
9.17/9.34	                   app_encode_app(com, 
9.17/9.34	                     app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                       hoare_1927711152iple_a), 
9.17/9.34	                     app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                       app_encode_fun(com, 
9.17/9.34	                         app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                           hoare_1927711152iple_a)), hoare_1652181356iple_a, 
9.17/9.34	                       X20), X21), X22))), bot_bo1208640912a_bool)))
9.17/9.34	       | app_encode_app(bool, $o, hBOOL, 
9.17/9.34	           app_encode_app(state, bool, 
9.17/9.34	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.34	               hAPP_state_bool, 
9.17/9.34	               app_encode_app(x_a, fun_state_bool, 
9.17/9.34	                 app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                   app_encode_fun(x_a, fun_state_bool), 
9.17/9.34	                   hAPP_a2036067514e_bool, X20), sk_Z_1(X20, X22, X21, X19))), 
9.17/9.34	             sk_S(X20, X22, X21, X19)))),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_143])).
9.17/9.34	tff('2', plain,
9.17/9.34	    ![X0 : hoare_1927711152iple_a, X1 : fun_Ho1877127206a_bool]:
9.17/9.34	      (app_encode_app(bool, $o, hBOOL, 
9.17/9.34	         app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	           app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	             app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	             hAPP_f1454306822l_bool, 
9.17/9.34	             app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
9.17/9.34	               hoare_1617968510rivs_a, X1)), 
9.17/9.34	           app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	             app_encode_app(fun_fu1585556401a_bool, 
9.17/9.34	               app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
9.17/9.34	               hAPP_f16502863a_bool, 
9.17/9.34	               app_encode_app(hoare_1927711152iple_a, 
9.17/9.34	                 fun_fu1585556401a_bool, 
9.17/9.34	                 app_encode_app(fun_Ho1630563774a_bool, 
9.17/9.34	                   app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                     fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
9.17/9.34	                   insert1434104874iple_a), X0)), bot_bo1208640912a_bool)))
9.17/9.34	       | app_encode_app(bool, $o, hBOOL, 
9.17/9.34	           app_encode_app(state, bool, 
9.17/9.34	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.34	               hAPP_state_bool, 
9.17/9.34	               app_encode_app(x_a, fun_state_bool, 
9.17/9.34	                 app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                   app_encode_fun(x_a, fun_state_bool), 
9.17/9.34	                   hAPP_a2036067514e_bool, sk_Fun1(X0)), 
9.17/9.34	                 sk_Z_1(sk_Fun1(X0), sk_Fun2(X0), sk_Com(X0), X1))), 
9.17/9.34	             sk_S(sk_Fun1(X0), sk_Fun2(X0), sk_Com(X0), X1)))),
9.17/9.34	    inference('sup+', [status(thm)], ['0', '1'])).
9.17/9.34	tff(zf_stmt_150, axiom,
9.17/9.34	  (![A_3:hoare_1927711152iple_a]:
9.17/9.34	     (app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
9.17/9.34	                     collec829051333iple_a,
9.17/9.34	                     app_encode_app(hoare_1927711152iple_a,
9.17/9.34	                                    fun_Ho1877127206a_bool,
9.17/9.34	                                    app_encode_app(fun_Ho440810351a_bool,
9.17/9.34	                                                   app_encode_fun(hoare_1927711152iple_a,
9.17/9.34	                                                                  fun_Ho1877127206a_bool),
9.17/9.34	                                                   hAPP_H1027145665a_bool,
9.17/9.34	                                                   fequal1440857775iple_a),
9.17/9.34	                                    A_3)) =
9.17/9.34	      app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
9.17/9.34	                     app_encode_app(fun_fu1585556401a_bool,
9.17/9.34	                                    app_encode_fun(fun_Ho1877127206a_bool,
9.17/9.34	                                                   fun_Ho1877127206a_bool),
9.17/9.34	                                    hAPP_f16502863a_bool,
9.17/9.34	                                    app_encode_app(hoare_1927711152iple_a,
9.17/9.34	                                                   fun_fu1585556401a_bool,
9.17/9.34	                                                   app_encode_app(fun_Ho1630563774a_bool,
9.17/9.34	                                                                  app_encode_fun(
9.17/9.34	                                                                  hoare_1927711152iple_a,
9.17/9.34	                                                                  fun_fu1585556401a_bool),
9.17/9.34	                                                                  hAPP_H1975128022a_bool,
9.17/9.34	                                                                  insert1434104874iple_a),
9.17/9.34	                                                   A_3)),
9.17/9.34	                     bot_bo1208640912a_bool)))).
9.17/9.34	tff('3', plain,
9.17/9.34	    ![X47 : hoare_1927711152iple_a]:
9.17/9.34	      app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	        collec829051333iple_a, 
9.17/9.34	        app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
9.17/9.34	          app_encode_app(fun_Ho440810351a_bool, 
9.17/9.34	            app_encode_fun(hoare_1927711152iple_a, fun_Ho1877127206a_bool), 
9.17/9.34	            hAPP_H1027145665a_bool, fequal1440857775iple_a), X47))
9.17/9.34	       = app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	           app_encode_app(fun_fu1585556401a_bool, 
9.17/9.34	             app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
9.17/9.34	             hAPP_f16502863a_bool, 
9.17/9.34	             app_encode_app(hoare_1927711152iple_a, fun_fu1585556401a_bool, 
9.17/9.34	               app_encode_app(fun_Ho1630563774a_bool, 
9.17/9.34	                 app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                   fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
9.17/9.34	                 insert1434104874iple_a), X47)), bot_bo1208640912a_bool),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_150])).
9.17/9.34	tff(zf_stmt_212, axiom,
9.17/9.34	  (![Pa:fun_Ho1877127206a_bool]:
9.17/9.34	     (app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
9.17/9.34	                     collec829051333iple_a,Pa) =
9.17/9.34	      Pa))).
9.17/9.34	tff('4', plain,
9.17/9.34	    ![X201 : fun_Ho1877127206a_bool]:
9.17/9.34	      app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	        collec829051333iple_a, X201)
9.17/9.34	       = X201,
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_212])).
9.17/9.34	tff('5', plain,
9.17/9.34	    ![X47 : hoare_1927711152iple_a]:
9.17/9.34	      app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
9.17/9.34	        app_encode_app(fun_Ho440810351a_bool, 
9.17/9.34	          app_encode_fun(hoare_1927711152iple_a, fun_Ho1877127206a_bool), 
9.17/9.34	          hAPP_H1027145665a_bool, fequal1440857775iple_a), X47)
9.17/9.34	       = app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	           app_encode_app(fun_fu1585556401a_bool, 
9.17/9.34	             app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
9.17/9.34	             hAPP_f16502863a_bool, 
9.17/9.34	             app_encode_app(hoare_1927711152iple_a, fun_fu1585556401a_bool, 
9.17/9.34	               app_encode_app(fun_Ho1630563774a_bool, 
9.17/9.34	                 app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                   fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
9.17/9.34	                 insert1434104874iple_a), X47)), bot_bo1208640912a_bool),
9.17/9.34	    inference('demod', [status(thm)], ['3', '4'])).
9.17/9.34	tff(zf_stmt_242, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
9.17/9.34	tff('6', plain, ![X293 : bool]: (X293 = fTrue | X293 = fFalse),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_242])).
9.17/9.34	tff('7', plain,
9.17/9.34	    ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fFalse | X1 = fFalse),
9.17/9.34	    inference('sup+', [status(thm)], ['6', '6'])).
9.17/9.34	tff('8', plain,
9.17/9.34	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
9.17/9.34	      X3 : fun_Ho1877127206a_bool, X4 : bool]:
9.17/9.34	      (app_encode_app(bool, $o, hBOOL, fFalse)
9.17/9.34	       | X4 = fFalse
9.17/9.34	       | X4
9.17/9.34	          = app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	              app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	                app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	                hAPP_f1454306822l_bool, 
9.17/9.34	                app_encode_app(fun_Ho1877127206a_bool, 
9.17/9.34	                  fun_fu832487784l_bool, hoare_1617968510rivs_a, X3)), 
9.17/9.34	              app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	                app_encode_app(fun_fu1585556401a_bool, 
9.17/9.34	                  app_encode_fun(fun_Ho1877127206a_bool, 
9.17/9.34	                    fun_Ho1877127206a_bool), hAPP_f16502863a_bool, 
9.17/9.34	                  app_encode_app(hoare_1927711152iple_a, 
9.17/9.34	                    fun_fu1585556401a_bool, 
9.17/9.34	                    app_encode_app(fun_Ho1630563774a_bool, 
9.17/9.34	                      app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                        fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
9.17/9.34	                      insert1434104874iple_a), 
9.17/9.34	                    app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                      hoare_1927711152iple_a, 
9.17/9.34	                      app_encode_app(com, 
9.17/9.34	                        app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                          hoare_1927711152iple_a), 
9.17/9.34	                        app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                          app_encode_fun(com, 
9.17/9.34	                            app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                              hoare_1927711152iple_a)), 
9.17/9.34	                          hoare_1652181356iple_a, X2), X1), X0))), 
9.17/9.34	                bot_bo1208640912a_bool))
9.17/9.34	       | app_encode_app(bool, $o, hBOOL, 
9.17/9.34	           app_encode_app(state, bool, 
9.17/9.34	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.34	               hAPP_state_bool, 
9.17/9.34	               app_encode_app(x_a, fun_state_bool, 
9.17/9.34	                 app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                   app_encode_fun(x_a, fun_state_bool), 
9.17/9.34	                   hAPP_a2036067514e_bool, X2), sk_Z_1(X2, X0, X1, X3))), 
9.17/9.34	             sk_S(X2, X0, X1, X3)))),
9.17/9.34	    inference('sup+', [status(thm)], ['7', '1'])).
9.17/9.34	tff(zf_stmt_209, axiom,
9.17/9.34	  (app_encode_app(bool,$o,hBOOL,
9.17/9.34	                  app_encode_app(fun_Ho1877127206a_bool,bool,
9.17/9.34	                                 app_encode_app(fun_fu832487784l_bool,
9.17/9.34	                                                app_encode_fun(fun_Ho1877127206a_bool,
9.17/9.34	                                                               bool),
9.17/9.34	                                                hAPP_f1454306822l_bool,
9.17/9.34	                                                finite68738179iple_a),
9.17/9.34	                                 bot_bo1208640912a_bool)))).
9.17/9.34	tff('9', plain,
9.17/9.34	    app_encode_app(bool, $o, hBOOL, 
9.17/9.34	      app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	        app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	          app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	          hAPP_f1454306822l_bool, finite68738179iple_a), 
9.17/9.34	        bot_bo1208640912a_bool)),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_209])).
9.17/9.34	tff(zf_stmt_241, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
9.17/9.34	tff('10', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_241])).
9.17/9.34	tff('11', plain,
9.17/9.34	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
9.17/9.34	    inference('sup-', [status(thm)], ['6', '10'])).
9.17/9.34	tff('12', plain,
9.17/9.34	    (~ $true
9.17/9.34	     | app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	         app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	           app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	           hAPP_f1454306822l_bool, finite68738179iple_a), 
9.17/9.34	         bot_bo1208640912a_bool)
9.17/9.34	        = fTrue),
9.17/9.34	    inference('sup-', [status(thm)], ['9', '11'])).
9.17/9.34	tff('13', plain,
9.17/9.34	    app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	      app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	        app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	        hAPP_f1454306822l_bool, finite68738179iple_a), 
9.17/9.34	      bot_bo1208640912a_bool)
9.17/9.34	     = fTrue,
9.17/9.34	    inference('simplify', [status(thm)], ['12'])).
9.17/9.34	tff('14', plain, app_encode_app(bool, $o, hBOOL, fTrue),
9.17/9.34	    inference('demod', [status(thm)], ['9', '13'])).
9.17/9.34	tff('15', plain,
9.17/9.34	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = fFalse),
9.17/9.34	    inference('sup+', [status(thm)], ['6', '14'])).
9.17/9.34	tff(zf_stmt_179, axiom,
9.17/9.34	  (![X_1:hoare_1927711152iple_a]:
9.17/9.34	     (app_encode_app(bool,$o,hBOOL,
9.17/9.34	                     app_encode_app(hoare_1927711152iple_a,bool,
9.17/9.34	                                    app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                   app_encode_fun(hoare_1927711152iple_a,
9.17/9.34	                                                                  bool),
9.17/9.34	                                                   hAPP_H1448631928a_bool,
9.17/9.34	                                                   bot_bo1208640912a_bool),
9.17/9.34	                                    X_1)) <=>
9.17/9.34	      app_encode_app(bool,$o,hBOOL,bot_bot_bool)))).
9.17/9.34	tff('16', plain,
9.17/9.34	    ![X117 : hoare_1927711152iple_a]:
9.17/9.34	      (app_encode_app(bool, $o, hBOOL, 
9.17/9.34	         app_encode_app(hoare_1927711152iple_a, bool, 
9.17/9.34	           app_encode_app(fun_Ho1877127206a_bool, 
9.17/9.34	             app_encode_fun(hoare_1927711152iple_a, bool), 
9.17/9.34	             hAPP_H1448631928a_bool, bot_bo1208640912a_bool), X117))
9.17/9.34	       | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_179])).
9.17/9.34	tff(zf_stmt_160, axiom,
9.17/9.34	  (bot_bo1208640912a_bool =
9.17/9.34	   app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
9.17/9.34	                  collec829051333iple_a,
9.17/9.34	                  app_encode_app(bool,fun_Ho1877127206a_bool,
9.17/9.34	                                 cOMBK_712844119iple_a,fFalse)))).
9.17/9.34	tff('17', plain,
9.17/9.34	    bot_bo1208640912a_bool
9.17/9.34	     = app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	         collec829051333iple_a, 
9.17/9.34	         app_encode_app(bool, fun_Ho1877127206a_bool, cOMBK_712844119iple_a, 
9.17/9.34	           fFalse)),
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_160])).
9.17/9.34	tff('18', plain,
9.17/9.34	    bot_bo1208640912a_bool
9.17/9.34	     = app_encode_app(bool, fun_Ho1877127206a_bool, cOMBK_712844119iple_a, 
9.17/9.34	         fFalse),
9.17/9.34	    inference('demod', [status(thm)], ['17', '4'])).
9.17/9.34	tff(zf_stmt_257, axiom,
9.17/9.34	  (![P:bool,Q:hoare_1927711152iple_a]:
9.17/9.34	     (app_encode_app(hoare_1927711152iple_a,bool,
9.17/9.34	                     app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                    app_encode_fun(hoare_1927711152iple_a,
9.17/9.34	                                                   bool),
9.17/9.34	                                    hAPP_H1448631928a_bool,
9.17/9.34	                                    app_encode_app(bool,
9.17/9.34	                                                   fun_Ho1877127206a_bool,
9.17/9.34	                                                   cOMBK_712844119iple_a,P)),
9.17/9.34	                     Q) =
9.17/9.34	      P))).
9.17/9.34	tff('19', plain,
9.17/9.34	    ![X327 : bool, X328 : hoare_1927711152iple_a]:
9.17/9.34	      app_encode_app(hoare_1927711152iple_a, bool, 
9.17/9.34	        app_encode_app(fun_Ho1877127206a_bool, 
9.17/9.34	          app_encode_fun(hoare_1927711152iple_a, bool), 
9.17/9.34	          hAPP_H1448631928a_bool, 
9.17/9.34	          app_encode_app(bool, fun_Ho1877127206a_bool, 
9.17/9.34	            cOMBK_712844119iple_a, X327)), X328)
9.17/9.34	       = X327,
9.17/9.34	    inference('cnf', [status(esa)], [zf_stmt_257])).
9.17/9.34	tff('20', plain,
9.17/9.34	    ![X0 : hoare_1927711152iple_a]:
9.17/9.34	      app_encode_app(hoare_1927711152iple_a, bool, 
9.17/9.34	        app_encode_app(fun_Ho1877127206a_bool, 
9.17/9.34	          app_encode_fun(hoare_1927711152iple_a, bool), 
9.17/9.34	          hAPP_H1448631928a_bool, bot_bo1208640912a_bool), X0)
9.17/9.34	       = fFalse,
9.17/9.34	    inference('sup+', [status(thm)], ['18', '19'])).
9.17/9.34	tff('21', plain,
9.17/9.34	    (app_encode_app(bool, $o, hBOOL, fFalse)
9.17/9.34	     | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
9.17/9.34	    inference('demod', [status(thm)], ['16', '20'])).
9.17/9.34	tff('22', plain, ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool),
9.17/9.34	    inference('clc', [status(thm)], ['21', '10'])).
9.17/9.34	tff('23', plain, (~ $true | bot_bot_bool = fFalse),
9.17/9.34	    inference('sup-', [status(thm)], ['15', '22'])).
9.17/9.34	tff('24', plain, bot_bot_bool = fFalse,
9.17/9.34	    inference('simplify', [status(thm)], ['23'])).
9.17/9.34	tff('25', plain,
9.17/9.34	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
9.17/9.34	      X3 : fun_Ho1877127206a_bool, X4 : bool]:
9.17/9.34	      (app_encode_app(bool, $o, hBOOL, bot_bot_bool)
9.17/9.34	       | X4 = bot_bot_bool
9.17/9.34	       | X4
9.17/9.34	          = app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	              app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	                app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	                hAPP_f1454306822l_bool, 
9.17/9.34	                app_encode_app(fun_Ho1877127206a_bool, 
9.17/9.34	                  fun_fu832487784l_bool, hoare_1617968510rivs_a, X3)), 
9.17/9.34	              app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
9.17/9.34	                app_encode_app(fun_Ho440810351a_bool, 
9.17/9.34	                  app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                    fun_Ho1877127206a_bool), hAPP_H1027145665a_bool, 
9.17/9.34	                  fequal1440857775iple_a), 
9.17/9.34	                app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
9.17/9.34	                  app_encode_app(com, 
9.17/9.34	                    app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                      hoare_1927711152iple_a), 
9.17/9.34	                    app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                      app_encode_fun(com, 
9.17/9.34	                        app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                          hoare_1927711152iple_a)), hoare_1652181356iple_a, 
9.17/9.34	                      X2), X1), X0)))
9.17/9.34	       | app_encode_app(bool, $o, hBOOL, 
9.17/9.34	           app_encode_app(state, bool, 
9.17/9.34	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.34	               hAPP_state_bool, 
9.17/9.34	               app_encode_app(x_a, fun_state_bool, 
9.17/9.34	                 app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                   app_encode_fun(x_a, fun_state_bool), 
9.17/9.34	                   hAPP_a2036067514e_bool, X2), sk_Z_1(X2, X0, X1, X3))), 
9.17/9.34	             sk_S(X2, X0, X1, X3)))),
9.17/9.34	    inference('demod', [status(thm)], ['8', '24', '24', '5'])).
9.17/9.34	tff('26', plain,
9.17/9.34	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
9.17/9.34	      X3 : fun_Ho1877127206a_bool, X4 : bool]:
9.17/9.34	      (app_encode_app(bool, $o, hBOOL, 
9.17/9.34	         app_encode_app(state, bool, 
9.17/9.34	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.34	             hAPP_state_bool, 
9.17/9.34	             app_encode_app(x_a, fun_state_bool, 
9.17/9.34	               app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                 app_encode_fun(x_a, fun_state_bool), 
9.17/9.34	                 hAPP_a2036067514e_bool, X2), sk_Z_1(X2, X0, X1, X3))), 
9.17/9.34	           sk_S(X2, X0, X1, X3)))
9.17/9.34	       | X4
9.17/9.34	          = app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	              app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	                app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	                hAPP_f1454306822l_bool, 
9.17/9.34	                app_encode_app(fun_Ho1877127206a_bool, 
9.17/9.34	                  fun_fu832487784l_bool, hoare_1617968510rivs_a, X3)), 
9.17/9.34	              app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
9.17/9.34	                app_encode_app(fun_Ho440810351a_bool, 
9.17/9.34	                  app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                    fun_Ho1877127206a_bool), hAPP_H1027145665a_bool, 
9.17/9.34	                  fequal1440857775iple_a), 
9.17/9.34	                app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
9.17/9.34	                  app_encode_app(com, 
9.17/9.34	                    app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                      hoare_1927711152iple_a), 
9.17/9.34	                    app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                      app_encode_fun(com, 
9.17/9.34	                        app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                          hoare_1927711152iple_a)), hoare_1652181356iple_a, 
9.17/9.34	                      X2), X1), X0)))
9.17/9.34	       | X4 = bot_bot_bool),
9.17/9.34	    inference('clc', [status(thm)], ['25', '22'])).
9.17/9.34	tff(zf_stmt_272, conjecture,
9.17/9.34	  (app_encode_app(bool,$o,hBOOL,
9.17/9.34	                  app_encode_app(fun_Ho1877127206a_bool,bool,
9.17/9.34	                                 app_encode_app(fun_fu832487784l_bool,
9.17/9.34	                                                app_encode_fun(fun_Ho1877127206a_bool,
9.17/9.34	                                                               bool),
9.17/9.34	                                                hAPP_f1454306822l_bool,
9.17/9.34	                                                app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                               fun_fu832487784l_bool,
9.17/9.34	                                                               hoare_1617968510rivs_a,
9.17/9.34	                                                               g)),
9.17/9.34	                                 app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                fun_Ho1877127206a_bool,
9.17/9.34	                                                app_encode_app(fun_fu1585556401a_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_Ho1877127206a_bool,
9.17/9.34	                                                               fun_Ho1877127206a_bool),
9.17/9.34	                                                               hAPP_f16502863a_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               hoare_1927711152iple_a,
9.17/9.34	                                                               fun_fu1585556401a_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_Ho1630563774a_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               hoare_1927711152iple_a,
9.17/9.34	                                                               fun_fu1585556401a_bool),
9.17/9.34	                                                               hAPP_H1975128022a_bool,
9.17/9.34	                                                               insert1434104874iple_a),
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               hoare_1927711152iple_a,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               com,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               hoare_1927711152iple_a),
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               com,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               hoare_1927711152iple_a)),
9.17/9.34	                                                               hoare_1652181356iple_a,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               cOMBK_1458035955bool_a,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               bool,
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               cOMBK_bool_state,
9.17/9.34	                                                               fFalse))),c),
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu281355805e_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               fun_a_fun_state_bool),
9.17/9.34	                                                               hAPP_f762886889e_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_a_2117018159e_bool,
9.17/9.34	                                                               fun_fu281355805e_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu734682033e_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_a_2117018159e_bool,
9.17/9.34	                                                               fun_fu281355805e_bool),
9.17/9.34	                                                               hAPP_f1261923407e_bool,
9.17/9.34	                                                               cOMBC_892787026e_bool),
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_a_1632297036l_bool,
9.17/9.34	                                                               fun_a_2117018159e_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu2008829792e_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_a_1632297036l_bool,
9.17/9.34	                                                               fun_a_2117018159e_bool),
9.17/9.34	                                                               hAPP_f963367678e_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu1047394976e_bool,
9.17/9.34	                                                               fun_fu2008829792e_bool,
9.17/9.34	                                                               cOMBB_145932198bool_a,
9.17/9.34	                                                               cOMBS_1378840469l_bool)),
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               fun_a_1632297036l_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu2118559873l_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_a_fun_state_bool,
9.17/9.34	                                                               fun_a_1632297036l_bool),
9.17/9.34	                                                               hAPP_f1509969235l_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu1658206819l_bool,
9.17/9.34	                                                               fun_fu2118559873l_bool,
9.17/9.34	                                                               cOMBB_1355796797bool_a,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_bo1549164019l_bool,
9.17/9.34	                                                               fun_fu1658206819l_bool,
9.17/9.34	                                                               cOMBB_188601460_state,
9.17/9.34	                                                               fconj))),p)))),
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_fu373216837e_bool,
9.17/9.34	                                                               app_encode_fun(
9.17/9.34	                                                               fun_state_bool,
9.17/9.34	                                                               fun_state_bool),
9.17/9.34	                                                               hAPP_f1759915619e_bool,
9.17/9.34	                                                               app_encode_app(
9.17/9.34	                                                               fun_bool_bool,
9.17/9.34	                                                               fun_fu373216837e_bool,
9.17/9.34	                                                               cOMBB_160679318_state,
9.17/9.34	                                                               fNot)),b))))),
9.17/9.34	                                                bot_bo1208640912a_bool))))).
9.17/9.34	tff(zf_stmt_0, negated_conjecture,
9.17/9.34	  (~
9.17/9.34	    app_encode_app(bool,$o,hBOOL,
9.17/9.34	                   app_encode_app(fun_Ho1877127206a_bool,bool,
9.17/9.34	                                  app_encode_app(fun_fu832487784l_bool,
9.17/9.34	                                                 app_encode_fun(fun_Ho1877127206a_bool,
9.17/9.34	                                                                bool),
9.17/9.34	                                                 hAPP_f1454306822l_bool,
9.17/9.34	                                                 app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                                fun_fu832487784l_bool,
9.17/9.34	                                                                hoare_1617968510rivs_a,
9.17/9.34	                                                                g)),
9.17/9.34	                                  app_encode_app(fun_Ho1877127206a_bool,
9.17/9.34	                                                 fun_Ho1877127206a_bool,
9.17/9.34	                                                 app_encode_app(fun_fu1585556401a_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_Ho1877127206a_bool,
9.17/9.34	                                                                fun_Ho1877127206a_bool),
9.17/9.34	                                                                hAPP_f16502863a_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                hoare_1927711152iple_a,
9.17/9.34	                                                                fun_fu1585556401a_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_Ho1630563774a_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                hoare_1927711152iple_a,
9.17/9.34	                                                                fun_fu1585556401a_bool),
9.17/9.34	                                                                hAPP_H1975128022a_bool,
9.17/9.34	                                                                insert1434104874iple_a),
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                hoare_1927711152iple_a,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                com,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                hoare_1927711152iple_a),
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                com,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                hoare_1927711152iple_a)),
9.17/9.34	                                                                hoare_1652181356iple_a,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                cOMBK_1458035955bool_a,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                bool,
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                cOMBK_bool_state,
9.17/9.34	                                                                fFalse))),c),
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu281355805e_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                fun_a_fun_state_bool),
9.17/9.34	                                                                hAPP_f762886889e_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_a_2117018159e_bool,
9.17/9.34	                                                                fun_fu281355805e_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu734682033e_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_a_2117018159e_bool,
9.17/9.34	                                                                fun_fu281355805e_bool),
9.17/9.34	                                                                hAPP_f1261923407e_bool,
9.17/9.34	                                                                cOMBC_892787026e_bool),
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_a_1632297036l_bool,
9.17/9.34	                                                                fun_a_2117018159e_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu2008829792e_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_a_1632297036l_bool,
9.17/9.34	                                                                fun_a_2117018159e_bool),
9.17/9.34	                                                                hAPP_f963367678e_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu1047394976e_bool,
9.17/9.34	                                                                fun_fu2008829792e_bool,
9.17/9.34	                                                                cOMBB_145932198bool_a,
9.17/9.34	                                                                cOMBS_1378840469l_bool)),
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                fun_a_1632297036l_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu2118559873l_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_a_fun_state_bool,
9.17/9.34	                                                                fun_a_1632297036l_bool),
9.17/9.34	                                                                hAPP_f1509969235l_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu1658206819l_bool,
9.17/9.34	                                                                fun_fu2118559873l_bool,
9.17/9.34	                                                                cOMBB_1355796797bool_a,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_bo1549164019l_bool,
9.17/9.34	                                                                fun_fu1658206819l_bool,
9.17/9.34	                                                                cOMBB_188601460_state,
9.17/9.34	                                                                fconj))),p)))),
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_fu373216837e_bool,
9.17/9.34	                                                                app_encode_fun(
9.17/9.34	                                                                fun_state_bool,
9.17/9.34	                                                                fun_state_bool),
9.17/9.34	                                                                hAPP_f1759915619e_bool,
9.17/9.34	                                                                app_encode_app(
9.17/9.34	                                                                fun_bool_bool,
9.17/9.34	                                                                fun_fu373216837e_bool,
9.17/9.34	                                                                cOMBB_160679318_state,
9.17/9.34	                                                                fNot)),b))))),
9.17/9.34	                                                 bot_bo1208640912a_bool))))).
9.17/9.34	tff('27', plain,
9.17/9.34	    ~ app_encode_app(bool, $o, hBOOL, 
9.17/9.34	        app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.34	          app_encode_app(fun_fu832487784l_bool, 
9.17/9.34	            app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.34	            hAPP_f1454306822l_bool, 
9.17/9.34	            app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
9.17/9.34	              hoare_1617968510rivs_a, g)), 
9.17/9.34	          app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
9.17/9.34	            app_encode_app(fun_fu1585556401a_bool, 
9.17/9.34	              app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
9.17/9.34	              hAPP_f16502863a_bool, 
9.17/9.34	              app_encode_app(hoare_1927711152iple_a, fun_fu1585556401a_bool, 
9.17/9.34	                app_encode_app(fun_Ho1630563774a_bool, 
9.17/9.34	                  app_encode_fun(hoare_1927711152iple_a, 
9.17/9.34	                    fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
9.17/9.34	                  insert1434104874iple_a), 
9.17/9.34	                app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
9.17/9.34	                  app_encode_app(com, 
9.17/9.34	                    app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                      hoare_1927711152iple_a), 
9.17/9.34	                    app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                      app_encode_fun(com, 
9.17/9.34	                        app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                          hoare_1927711152iple_a)), hoare_1652181356iple_a, 
9.17/9.34	                      app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.34	                        cOMBK_1458035955bool_a, 
9.17/9.34	                        app_encode_app(bool, fun_state_bool, 
9.17/9.34	                          cOMBK_bool_state, fFalse))), c), 
9.17/9.34	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.34	                    app_encode_app(fun_fu281355805e_bool, 
9.17/9.34	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
9.17/9.34	                      hAPP_f762886889e_bool, 
9.17/9.34	                      app_encode_app(fun_a_2117018159e_bool, 
9.17/9.34	                        fun_fu281355805e_bool, 
9.17/9.34	                        app_encode_app(fun_fu734682033e_bool, 
9.17/9.34	                          app_encode_fun(fun_a_2117018159e_bool, 
9.17/9.34	                            fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
9.17/9.34	                          cOMBC_892787026e_bool), 
9.17/9.34	                        app_encode_app(fun_a_1632297036l_bool, 
9.17/9.34	                          fun_a_2117018159e_bool, 
9.17/9.34	                          app_encode_app(fun_fu2008829792e_bool, 
9.17/9.34	                            app_encode_fun(fun_a_1632297036l_bool, 
9.17/9.34	                              fun_a_2117018159e_bool), 
9.17/9.34	                            hAPP_f963367678e_bool, 
9.17/9.34	                            app_encode_app(fun_fu1047394976e_bool, 
9.17/9.34	                              fun_fu2008829792e_bool, cOMBB_145932198bool_a, 
9.17/9.34	                              cOMBS_1378840469l_bool)), 
9.17/9.34	                          app_encode_app(fun_a_fun_state_bool, 
9.17/9.34	                            fun_a_1632297036l_bool, 
9.17/9.34	                            app_encode_app(fun_fu2118559873l_bool, 
9.17/9.34	                              app_encode_fun(fun_a_fun_state_bool, 
9.17/9.34	                                fun_a_1632297036l_bool), 
9.17/9.34	                              hAPP_f1509969235l_bool, 
9.17/9.34	                              app_encode_app(fun_fu1658206819l_bool, 
9.17/9.34	                                fun_fu2118559873l_bool, 
9.17/9.34	                                cOMBB_1355796797bool_a, 
9.17/9.34	                                app_encode_app(fun_bo1549164019l_bool, 
9.17/9.34	                                  fun_fu1658206819l_bool, 
9.17/9.34	                                  cOMBB_188601460_state, fconj))), p)))), 
9.17/9.34	                    app_encode_app(fun_state_bool, fun_state_bool, 
9.17/9.34	                      app_encode_app(fun_fu373216837e_bool, 
9.17/9.34	                        app_encode_fun(fun_state_bool, fun_state_bool), 
9.17/9.34	                        hAPP_f1759915619e_bool, 
9.17/9.34	                        app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
9.17/9.34	                          cOMBB_160679318_state, fNot)), b))))), 
9.17/9.35	            bot_bo1208640912a_bool))),
9.17/9.35	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.17/9.35	tff('28', plain,
9.17/9.35	    ~ app_encode_app(bool, $o, hBOOL, 
9.17/9.35	        app_encode_app(fun_Ho1877127206a_bool, bool, 
9.17/9.35	          app_encode_app(fun_fu832487784l_bool, 
9.17/9.35	            app_encode_fun(fun_Ho1877127206a_bool, bool), 
9.17/9.35	            hAPP_f1454306822l_bool, 
9.17/9.35	            app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
9.17/9.35	              hoare_1617968510rivs_a, g)), 
9.17/9.35	          app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
9.17/9.35	            app_encode_app(fun_Ho440810351a_bool, 
9.17/9.35	              app_encode_fun(hoare_1927711152iple_a, fun_Ho1877127206a_bool), 
9.17/9.35	              hAPP_H1027145665a_bool, fequal1440857775iple_a), 
9.17/9.35	            app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
9.17/9.35	              app_encode_app(com, 
9.17/9.35	                app_encode_fun(fun_a_fun_state_bool, hoare_1927711152iple_a), 
9.17/9.35	                app_encode_app(fun_a_fun_state_bool, 
9.17/9.35	                  app_encode_fun(com, 
9.17/9.35	                    app_encode_fun(fun_a_fun_state_bool, 
9.17/9.35	                      hoare_1927711152iple_a)), hoare_1652181356iple_a, 
9.17/9.35	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                    cOMBK_1458035955bool_a, 
9.17/9.35	                    app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
9.17/9.35	                      bot_bot_bool))), c), 
9.17/9.35	              app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                app_encode_app(fun_fu281355805e_bool, 
9.17/9.35	                  app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
9.17/9.35	                  hAPP_f762886889e_bool, 
9.17/9.35	                  app_encode_app(fun_a_2117018159e_bool, 
9.17/9.35	                    fun_fu281355805e_bool, 
9.17/9.35	                    app_encode_app(fun_fu734682033e_bool, 
9.17/9.35	                      app_encode_fun(fun_a_2117018159e_bool, 
9.17/9.35	                        fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
9.17/9.35	                      cOMBC_892787026e_bool), 
9.17/9.35	                    app_encode_app(fun_a_1632297036l_bool, 
9.17/9.35	                      fun_a_2117018159e_bool, 
9.17/9.35	                      app_encode_app(fun_fu2008829792e_bool, 
9.17/9.35	                        app_encode_fun(fun_a_1632297036l_bool, 
9.17/9.35	                          fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
9.17/9.35	                        app_encode_app(fun_fu1047394976e_bool, 
9.17/9.35	                          fun_fu2008829792e_bool, cOMBB_145932198bool_a, 
9.17/9.35	                          cOMBS_1378840469l_bool)), 
9.17/9.35	                      app_encode_app(fun_a_fun_state_bool, 
9.17/9.35	                        fun_a_1632297036l_bool, 
9.17/9.35	                        app_encode_app(fun_fu2118559873l_bool, 
9.17/9.35	                          app_encode_fun(fun_a_fun_state_bool, 
9.17/9.35	                            fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
9.17/9.35	                          app_encode_app(fun_fu1658206819l_bool, 
9.17/9.35	                            fun_fu2118559873l_bool, cOMBB_1355796797bool_a, 
9.17/9.35	                            app_encode_app(fun_bo1549164019l_bool, 
9.17/9.35	                              fun_fu1658206819l_bool, cOMBB_188601460_state, 
9.17/9.35	                              fconj))), p)))), 
9.17/9.35	                app_encode_app(fun_state_bool, fun_state_bool, 
9.17/9.35	                  app_encode_app(fun_fu373216837e_bool, 
9.17/9.35	                    app_encode_fun(fun_state_bool, fun_state_bool), 
9.17/9.35	                    hAPP_f1759915619e_bool, 
9.17/9.35	                    app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
9.17/9.35	                      cOMBB_160679318_state, fNot)), b)))))),
9.17/9.35	    inference('demod', [status(thm)], ['27', '24', '5'])).
9.17/9.35	tff('29', plain,
9.17/9.35	    ![X0 : bool]:
9.17/9.35	      (~ app_encode_app(bool, $o, hBOOL, X0)
9.17/9.35	       | X0 = bot_bot_bool
9.17/9.35	       | app_encode_app(bool, $o, hBOOL, 
9.17/9.35	           app_encode_app(state, bool, 
9.17/9.35	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.35	               hAPP_state_bool, 
9.17/9.35	               app_encode_app(x_a, fun_state_bool, 
9.17/9.35	                 app_encode_app(fun_a_fun_state_bool, 
9.17/9.35	                   app_encode_fun(x_a, fun_state_bool), 
9.17/9.35	                   hAPP_a2036067514e_bool, 
9.17/9.35	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                     cOMBK_1458035955bool_a, 
9.17/9.35	                     app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
9.17/9.35	                       bot_bot_bool))), 
9.17/9.35	                 sk_Z_1(
9.17/9.35	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                     cOMBK_1458035955bool_a, 
9.17/9.35	                     app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
9.17/9.35	                       bot_bot_bool)), 
9.17/9.35	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                     app_encode_app(fun_fu281355805e_bool, 
9.17/9.35	                       app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
9.17/9.35	                       hAPP_f762886889e_bool, 
9.17/9.35	                       app_encode_app(fun_a_2117018159e_bool, 
9.17/9.35	                         fun_fu281355805e_bool, 
9.17/9.35	                         app_encode_app(fun_fu734682033e_bool, 
9.17/9.35	                           app_encode_fun(fun_a_2117018159e_bool, 
9.17/9.35	                             fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
9.17/9.35	                           cOMBC_892787026e_bool), 
9.17/9.35	                         app_encode_app(fun_a_1632297036l_bool, 
9.17/9.35	                           fun_a_2117018159e_bool, 
9.17/9.35	                           app_encode_app(fun_fu2008829792e_bool, 
9.17/9.35	                             app_encode_fun(fun_a_1632297036l_bool, 
9.17/9.35	                               fun_a_2117018159e_bool), 
9.17/9.35	                             hAPP_f963367678e_bool, 
9.17/9.35	                             app_encode_app(fun_fu1047394976e_bool, 
9.17/9.35	                               fun_fu2008829792e_bool, 
9.17/9.35	                               cOMBB_145932198bool_a, cOMBS_1378840469l_bool)), 
9.17/9.35	                           app_encode_app(fun_a_fun_state_bool, 
9.17/9.35	                             fun_a_1632297036l_bool, 
9.17/9.35	                             app_encode_app(fun_fu2118559873l_bool, 
9.17/9.35	                               app_encode_fun(fun_a_fun_state_bool, 
9.17/9.35	                                 fun_a_1632297036l_bool), 
9.17/9.35	                               hAPP_f1509969235l_bool, 
9.17/9.35	                               app_encode_app(fun_fu1658206819l_bool, 
9.17/9.35	                                 fun_fu2118559873l_bool, 
9.17/9.35	                                 cOMBB_1355796797bool_a, 
9.17/9.35	                                 app_encode_app(fun_bo1549164019l_bool, 
9.17/9.35	                                   fun_fu1658206819l_bool, 
9.17/9.35	                                   cOMBB_188601460_state, fconj))), p)))), 
9.17/9.35	                     app_encode_app(fun_state_bool, fun_state_bool, 
9.17/9.35	                       app_encode_app(fun_fu373216837e_bool, 
9.17/9.35	                         app_encode_fun(fun_state_bool, fun_state_bool), 
9.17/9.35	                         hAPP_f1759915619e_bool, 
9.17/9.35	                         app_encode_app(fun_bool_bool, 
9.17/9.35	                           fun_fu373216837e_bool, cOMBB_160679318_state, 
9.17/9.35	                           fNot)), b)), c, g))), 
9.17/9.35	             sk_S(
9.17/9.35	               app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                 cOMBK_1458035955bool_a, 
9.17/9.35	                 app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
9.17/9.35	                   bot_bot_bool)), 
9.17/9.35	               app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	                 app_encode_app(fun_fu281355805e_bool, 
9.17/9.35	                   app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
9.17/9.35	                   hAPP_f762886889e_bool, 
9.17/9.35	                   app_encode_app(fun_a_2117018159e_bool, 
9.17/9.35	                     fun_fu281355805e_bool, 
9.17/9.35	                     app_encode_app(fun_fu734682033e_bool, 
9.17/9.35	                       app_encode_fun(fun_a_2117018159e_bool, 
9.17/9.35	                         fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
9.17/9.35	                       cOMBC_892787026e_bool), 
9.17/9.35	                     app_encode_app(fun_a_1632297036l_bool, 
9.17/9.35	                       fun_a_2117018159e_bool, 
9.17/9.35	                       app_encode_app(fun_fu2008829792e_bool, 
9.17/9.35	                         app_encode_fun(fun_a_1632297036l_bool, 
9.17/9.35	                           fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
9.17/9.35	                         app_encode_app(fun_fu1047394976e_bool, 
9.17/9.35	                           fun_fu2008829792e_bool, cOMBB_145932198bool_a, 
9.17/9.35	                           cOMBS_1378840469l_bool)), 
9.17/9.35	                       app_encode_app(fun_a_fun_state_bool, 
9.17/9.35	                         fun_a_1632297036l_bool, 
9.17/9.35	                         app_encode_app(fun_fu2118559873l_bool, 
9.17/9.35	                           app_encode_fun(fun_a_fun_state_bool, 
9.17/9.35	                             fun_a_1632297036l_bool), 
9.17/9.35	                           hAPP_f1509969235l_bool, 
9.17/9.35	                           app_encode_app(fun_fu1658206819l_bool, 
9.17/9.35	                             fun_fu2118559873l_bool, cOMBB_1355796797bool_a, 
9.17/9.35	                             app_encode_app(fun_bo1549164019l_bool, 
9.17/9.35	                               fun_fu1658206819l_bool, 
9.17/9.35	                               cOMBB_188601460_state, fconj))), p)))), 
9.17/9.35	                 app_encode_app(fun_state_bool, fun_state_bool, 
9.17/9.35	                   app_encode_app(fun_fu373216837e_bool, 
9.17/9.35	                     app_encode_fun(fun_state_bool, fun_state_bool), 
9.17/9.35	                     hAPP_f1759915619e_bool, 
9.17/9.35	                     app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
9.17/9.35	                       cOMBB_160679318_state, fNot)), b)), c, g)))),
9.17/9.35	    inference('sup-', [status(thm)], ['26', '28'])).
9.17/9.35	tff(zf_stmt_249, axiom,
9.17/9.35	  (![P:fun_state_bool,Q:x_a]:
9.17/9.35	     (app_encode_app(x_a,fun_state_bool,
9.17/9.35	                     app_encode_app(fun_a_fun_state_bool,
9.17/9.35	                                    app_encode_fun(x_a,fun_state_bool),
9.17/9.35	                                    hAPP_a2036067514e_bool,
9.17/9.35	                                    app_encode_app(fun_state_bool,
9.17/9.35	                                                   fun_a_fun_state_bool,
9.17/9.35	                                                   cOMBK_1458035955bool_a,P)),
9.17/9.35	                     Q) =
9.17/9.35	      P))).
9.17/9.35	tff('30', plain,
9.17/9.35	    ![X306 : fun_state_bool, X307 : x_a]:
9.17/9.35	      app_encode_app(x_a, fun_state_bool, 
9.17/9.35	        app_encode_app(fun_a_fun_state_bool, 
9.17/9.35	          app_encode_fun(x_a, fun_state_bool), hAPP_a2036067514e_bool, 
9.17/9.35	          app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
9.17/9.35	            cOMBK_1458035955bool_a, X306)), X307)
9.17/9.35	       = X306,
9.17/9.35	    inference('cnf', [status(esa)], [zf_stmt_249])).
9.17/9.35	tff(zf_stmt_248, axiom,
9.17/9.35	  (![P:bool,Q:state]:
9.17/9.35	     (app_encode_app(state,bool,
9.17/9.35	                     app_encode_app(fun_state_bool,
9.17/9.35	                                    app_encode_fun(state,bool),
9.17/9.35	                                    hAPP_state_bool,
9.17/9.35	                                    app_encode_app(bool,fun_state_bool,
9.17/9.35	                                                   cOMBK_bool_state,P)),
9.17/9.35	                     Q) =
9.17/9.35	      P))).
9.17/9.35	tff('31', plain,
9.17/9.35	    ![X304 : bool, X305 : state]:
9.17/9.35	      app_encode_app(state, bool, 
9.17/9.35	        app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
9.17/9.35	          hAPP_state_bool, 
9.17/9.35	          app_encode_app(bool, fun_state_bool, cOMBK_bool_state, X304)), 
9.17/9.35	        X305)
9.17/9.35	       = X304,
9.17/9.35	    inference('cnf', [status(esa)], [zf_stmt_248])).
9.17/9.35	tff('32', plain,
9.17/9.35	    ![X0 : bool]:
9.17/9.35	      (~ app_encode_app(bool, $o, hBOOL, X0)
9.17/9.35	       | X0 = bot_bot_bool
9.17/9.35	       | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
9.17/9.35	    inference('demod', [status(thm)], ['29', '30', '31'])).
9.17/9.35	tff('33', plain,
9.17/9.35	    ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fTrue | X1 = fTrue),
9.17/9.35	    inference('sup+', [status(thm)], ['6', '6'])).
9.17/9.35	tff('34', plain,
9.17/9.35	    ![X0 : bool, X1 : bool]:
9.17/9.35	      (app_encode_app(bool, $o, hBOOL, X0) | X1 = fTrue | X1 = X0),
9.17/9.35	    inference('sup+', [status(thm)], ['33', '14'])).
9.17/9.35	tff('35', plain,
9.17/9.35	    ![X0 : bool, X1 : bool]:
9.17/9.35	      (app_encode_app(bool, $o, hBOOL, X0)
9.17/9.35	       | X0 = X1
9.17/9.35	       | app_encode_app(bool, $o, hBOOL, X1)),
9.17/9.35	    inference('sup+', [status(thm)], ['34', '14'])).
9.17/9.35	tff('36', plain,
9.17/9.35	    ![X0 : bool]:
9.17/9.35	      (~ $true | app_encode_app(bool, $o, hBOOL, X0) | bot_bot_bool = X0),
9.17/9.35	    inference('sup-', [status(thm)], ['35', '22'])).
9.17/9.35	tff('37', plain,
9.17/9.35	    ![X0 : bool]: (bot_bot_bool = X0 | app_encode_app(bool, $o, hBOOL, X0)),
9.17/9.35	    inference('simplify', [status(thm)], ['36'])).
9.17/9.35	tff('38', plain,
9.17/9.35	    ![X0 : bool]:
9.17/9.35	      (app_encode_app(bool, $o, hBOOL, bot_bot_bool) | X0 = bot_bot_bool),
9.17/9.35	    inference('clc', [status(thm)], ['32', '37'])).
9.17/9.35	tff('39', plain, ![X0 : bool]: X0 = bot_bot_bool,
9.17/9.35	    inference('clc', [status(thm)], ['38', '22'])).
9.17/9.35	tff('40', plain, ![X0 : bool, X1 : bool]: X1 = X0,
9.17/9.35	    inference('sup+', [status(thm)], ['39', '39'])).
9.17/9.35	tff('41', plain,
9.17/9.35	    ![X1 : bool]:
9.17/9.35	      (app_encode_app(bool, $o, hBOOL, X1)
9.17/9.35	       | app_encode_app(bool, $o, hBOOL, X1)),
9.17/9.35	    inference('demod', [status(thm)], ['2', '5', '40', '40'])).
9.17/9.35	tff('42', plain, ![X1 : bool]: app_encode_app(bool, $o, hBOOL, X1),
9.17/9.35	    inference('simplify', [status(thm)], ['41'])).
9.17/9.35	tff('43', plain, ~ $true, inference('sup-', [status(thm)], ['42', '22'])).
9.17/9.35	tff('44', plain, $false, inference('simplify', [status(thm)], ['43'])).
9.17/9.35	
9.17/9.35	% SZS output end Refutation
9.17/9.35	EOF
