0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n097.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:28:38 CST 2018
12.74/12.92	% done 3205 iterations in 12.718s
12.74/12.92	% SZS status Theorem for 'stdin'
12.74/12.92	% SZS output start Refutation
12.74/12.92	tff(zf_stmt_184, axiom,
12.74/12.92	  (![Y_2:hoare_1927711152iple_a]:
12.74/12.92	     (~
12.74/12.92	       (![Fun1:fun_a_fun_state_bool,Com:com,Fun2:fun_a_fun_state_bool]:
12.74/12.92	          (Y_2 !=
12.74/12.92	           app_encode_app(fun_a_fun_state_bool,hoare_1927711152iple_a,
12.74/12.92	                          app_encode_app(com,
12.74/12.92	                                         app_encode_fun(fun_a_fun_state_bool,
12.74/12.92	                                                        hoare_1927711152iple_a),
12.74/12.92	                                         app_encode_app(fun_a_fun_state_bool,
12.74/12.92	                                                        app_encode_fun(
12.74/12.92	                                                        com,
12.74/12.92	                                                        app_encode_fun(
12.74/12.92	                                                        fun_a_fun_state_bool,
12.74/12.92	                                                        hoare_1927711152iple_a)),
12.74/12.92	                                                        hoare_1652181356iple_a,
12.74/12.92	                                                        Fun1),
12.74/12.92	                                         Com),
12.74/12.92	                          Fun2)))))).
12.74/12.92	tff('0', plain,
12.74/12.92	    ![X132 : hoare_1927711152iple_a]:
12.74/12.92	      X132
12.74/12.92	       = app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
12.74/12.92	           app_encode_app(com, 
12.74/12.92	             app_encode_fun(fun_a_fun_state_bool, hoare_1927711152iple_a), 
12.74/12.92	             app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	               app_encode_fun(com, 
12.74/12.92	                 app_encode_fun(fun_a_fun_state_bool, hoare_1927711152iple_a)), 
12.74/12.92	               hoare_1652181356iple_a, sk_Fun1(X132)), sk_Com(X132)), 
12.74/12.92	           sk_Fun2(X132)),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_184])).
12.74/12.92	tff(zf_stmt_144, axiom,
12.74/12.92	  (![Ga:fun_Ho1877127206a_bool,Ca:com,Q_1:fun_a_fun_state_bool,
12.74/12.92	     Pa:fun_a_fun_state_bool]:
12.74/12.92	     ((![Z_1:x_a,S:state]:
12.74/12.92	         (app_encode_app(bool,$o,hBOOL,
12.74/12.92	                         app_encode_app(state,bool,
12.74/12.92	                                        app_encode_app(fun_state_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       state,bool),
12.74/12.92	                                                       hAPP_state_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       x_a,fun_state_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       x_a,fun_state_bool),
12.74/12.92	                                                       hAPP_a2036067514e_bool,
12.74/12.92	                                                       Pa),Z_1)),
12.74/12.92	                                        S)) =>
12.74/12.92	          app_encode_app(bool,$o,hBOOL,
12.74/12.92	                         app_encode_app(fun_Ho1877127206a_bool,bool,
12.74/12.92	                                        app_encode_app(fun_fu832487784l_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       fun_Ho1877127206a_bool,
12.74/12.92	                                                       bool),
12.74/12.92	                                                       hAPP_f1454306822l_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_Ho1877127206a_bool,
12.74/12.92	                                                       fun_fu832487784l_bool,
12.74/12.92	                                                       hoare_1617968510rivs_a,
12.74/12.92	                                                       Ga)),
12.74/12.92	                                        app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                       fun_Ho1877127206a_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_fu1585556401a_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       fun_Ho1877127206a_bool,
12.74/12.92	                                                       fun_Ho1877127206a_bool),
12.74/12.92	                                                       hAPP_f16502863a_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       hoare_1927711152iple_a,
12.74/12.92	                                                       fun_fu1585556401a_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_Ho1630563774a_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       hoare_1927711152iple_a,
12.74/12.92	                                                       fun_fu1585556401a_bool),
12.74/12.92	                                                       hAPP_H1975128022a_bool,
12.74/12.92	                                                       insert1434104874iple_a),
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       hoare_1927711152iple_a,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       com,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       hoare_1927711152iple_a),
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       com,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       hoare_1927711152iple_a)),
12.74/12.92	                                                       hoare_1652181356iple_a,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_state_bool,
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       cOMBK_1458035955bool_a,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       state,fun_state_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_st1506752259e_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       state,fun_state_bool),
12.74/12.92	                                                       hAPP_s1806633685e_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_st1506752259e_bool,
12.74/12.92	                                                       fun_st1506752259e_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_fu402792811e_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       fun_st1506752259e_bool,
12.74/12.92	                                                       fun_st1506752259e_bool),
12.74/12.92	                                                       hAPP_f817621513e_bool,
12.74/12.92	                                                       cOMBC_2027030106e_bool),
12.74/12.92	                                                       fequal_state)),S))),Ca),
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_state_bool,
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       cOMBK_1458035955bool_a,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       x_a,fun_state_bool,
12.74/12.92	                                                       app_encode_app(
12.74/12.92	                                                       fun_a_fun_state_bool,
12.74/12.92	                                                       app_encode_fun(
12.74/12.92	                                                       x_a,fun_state_bool),
12.74/12.92	                                                       hAPP_a2036067514e_bool,
12.74/12.92	                                                       Q_1),Z_1))))),
12.74/12.92	                                                       bot_bo1208640912a_bool))))) =>
12.74/12.92	      app_encode_app(bool,$o,hBOOL,
12.74/12.92	                     app_encode_app(fun_Ho1877127206a_bool,bool,
12.74/12.92	                                    app_encode_app(fun_fu832487784l_bool,
12.74/12.92	                                                   app_encode_fun(fun_Ho1877127206a_bool,
12.74/12.92	                                                                  bool),
12.74/12.92	                                                   hAPP_f1454306822l_bool,
12.74/12.92	                                                   app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                                  fun_fu832487784l_bool,
12.74/12.92	                                                                  hoare_1617968510rivs_a,
12.74/12.92	                                                                  Ga)),
12.74/12.92	                                    app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                   fun_Ho1877127206a_bool,
12.74/12.92	                                                   app_encode_app(fun_fu1585556401a_bool,
12.74/12.92	                                                                  app_encode_fun(
12.74/12.92	                                                                  fun_Ho1877127206a_bool,
12.74/12.92	                                                                  fun_Ho1877127206a_bool),
12.74/12.92	                                                                  hAPP_f16502863a_bool,
12.74/12.92	                                                                  app_encode_app(
12.74/12.92	                                                                  hoare_1927711152iple_a,
12.74/12.92	                                                                  fun_fu1585556401a_bool,
12.74/12.92	                                                                  app_encode_app(
12.74/12.92	                                                                  fun_Ho1630563774a_bool,
12.74/12.92	                                                                  app_encode_fun(
12.74/12.92	                                                                  hoare_1927711152iple_a,
12.74/12.92	                                                                  fun_fu1585556401a_bool),
12.74/12.92	                                                                  hAPP_H1975128022a_bool,
12.74/12.92	                                                                  insert1434104874iple_a),
12.74/12.92	                                                                  app_encode_app(
12.74/12.92	                                                                  fun_a_fun_state_bool,
12.74/12.92	                                                                  hoare_1927711152iple_a,
12.74/12.92	                                                                  app_encode_app(
12.74/12.92	                                                                  com,
12.74/12.92	                                                                  app_encode_fun(
12.74/12.92	                                                                  fun_a_fun_state_bool,
12.74/12.92	                                                                  hoare_1927711152iple_a),
12.74/12.92	                                                                  app_encode_app(
12.74/12.92	                                                                  fun_a_fun_state_bool,
12.74/12.92	                                                                  app_encode_fun(
12.74/12.92	                                                                  com,
12.74/12.92	                                                                  app_encode_fun(
12.74/12.92	                                                                  fun_a_fun_state_bool,
12.74/12.92	                                                                  hoare_1927711152iple_a)),
12.74/12.92	                                                                  hoare_1652181356iple_a,
12.74/12.92	                                                                  Pa),Ca),Q_1))),
12.74/12.92	                                                   bot_bo1208640912a_bool)))))).
12.74/12.92	tff('1', plain,
12.74/12.92	    ![X23 : fun_Ho1877127206a_bool, X24 : fun_a_fun_state_bool, X25 : com, 
12.74/12.92	      X26 : fun_a_fun_state_bool]:
12.74/12.92	      (app_encode_app(bool, $o, hBOOL, 
12.74/12.92	         app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	           app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	             app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	             hAPP_f1454306822l_bool, 
12.74/12.92	             app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
12.74/12.92	               hoare_1617968510rivs_a, X23)), 
12.74/12.92	           app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	             app_encode_app(fun_fu1585556401a_bool, 
12.74/12.92	               app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
12.74/12.92	               hAPP_f16502863a_bool, 
12.74/12.92	               app_encode_app(hoare_1927711152iple_a, 
12.74/12.92	                 fun_fu1585556401a_bool, 
12.74/12.92	                 app_encode_app(fun_Ho1630563774a_bool, 
12.74/12.92	                   app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                     fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
12.74/12.92	                   insert1434104874iple_a), 
12.74/12.92	                 app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                   hoare_1927711152iple_a, 
12.74/12.92	                   app_encode_app(com, 
12.74/12.92	                     app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                       hoare_1927711152iple_a), 
12.74/12.92	                     app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                       app_encode_fun(com, 
12.74/12.92	                         app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                           hoare_1927711152iple_a)), hoare_1652181356iple_a, 
12.74/12.92	                       X24), X25), X26))), bot_bo1208640912a_bool)))
12.74/12.92	       | app_encode_app(bool, $o, hBOOL, 
12.74/12.92	           app_encode_app(state, bool, 
12.74/12.92	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.92	               hAPP_state_bool, 
12.74/12.92	               app_encode_app(x_a, fun_state_bool, 
12.74/12.92	                 app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                   app_encode_fun(x_a, fun_state_bool), 
12.74/12.92	                   hAPP_a2036067514e_bool, X24), sk_Z_1(X24, X26, X25, X23))), 
12.74/12.92	             sk_S(X24, X26, X25, X23)))),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_144])).
12.74/12.92	tff('2', plain,
12.74/12.92	    ![X0 : hoare_1927711152iple_a, X1 : fun_Ho1877127206a_bool]:
12.74/12.92	      (app_encode_app(bool, $o, hBOOL, 
12.74/12.92	         app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	           app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	             app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	             hAPP_f1454306822l_bool, 
12.74/12.92	             app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
12.74/12.92	               hoare_1617968510rivs_a, X1)), 
12.74/12.92	           app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	             app_encode_app(fun_fu1585556401a_bool, 
12.74/12.92	               app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
12.74/12.92	               hAPP_f16502863a_bool, 
12.74/12.92	               app_encode_app(hoare_1927711152iple_a, 
12.74/12.92	                 fun_fu1585556401a_bool, 
12.74/12.92	                 app_encode_app(fun_Ho1630563774a_bool, 
12.74/12.92	                   app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                     fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
12.74/12.92	                   insert1434104874iple_a), X0)), bot_bo1208640912a_bool)))
12.74/12.92	       | app_encode_app(bool, $o, hBOOL, 
12.74/12.92	           app_encode_app(state, bool, 
12.74/12.92	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.92	               hAPP_state_bool, 
12.74/12.92	               app_encode_app(x_a, fun_state_bool, 
12.74/12.92	                 app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                   app_encode_fun(x_a, fun_state_bool), 
12.74/12.92	                   hAPP_a2036067514e_bool, sk_Fun1(X0)), 
12.74/12.92	                 sk_Z_1(sk_Fun1(X0), sk_Fun2(X0), sk_Com(X0), X1))), 
12.74/12.92	             sk_S(sk_Fun1(X0), sk_Fun2(X0), sk_Com(X0), X1)))),
12.74/12.92	    inference('sup+', [status(thm)], ['0', '1'])).
12.74/12.92	tff(zf_stmt_243, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
12.74/12.92	tff('3', plain, ![X297 : bool]: (X297 = fTrue | X297 = fFalse),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_243])).
12.74/12.92	tff('4', plain,
12.74/12.92	    ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fFalse | X1 = fFalse),
12.74/12.92	    inference('sup+', [status(thm)], ['3', '3'])).
12.74/12.92	tff('5', plain,
12.74/12.92	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
12.74/12.92	      X3 : fun_Ho1877127206a_bool, X4 : bool]:
12.74/12.92	      (app_encode_app(bool, $o, hBOOL, fFalse)
12.74/12.92	       | X4 = fFalse
12.74/12.92	       | X4
12.74/12.92	          = app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	              app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	                app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	                hAPP_f1454306822l_bool, 
12.74/12.92	                app_encode_app(fun_Ho1877127206a_bool, 
12.74/12.92	                  fun_fu832487784l_bool, hoare_1617968510rivs_a, X3)), 
12.74/12.92	              app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	                app_encode_app(fun_fu1585556401a_bool, 
12.74/12.92	                  app_encode_fun(fun_Ho1877127206a_bool, 
12.74/12.92	                    fun_Ho1877127206a_bool), hAPP_f16502863a_bool, 
12.74/12.92	                  app_encode_app(hoare_1927711152iple_a, 
12.74/12.92	                    fun_fu1585556401a_bool, 
12.74/12.92	                    app_encode_app(fun_Ho1630563774a_bool, 
12.74/12.92	                      app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                        fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
12.74/12.92	                      insert1434104874iple_a), 
12.74/12.92	                    app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                      hoare_1927711152iple_a, 
12.74/12.92	                      app_encode_app(com, 
12.74/12.92	                        app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                          hoare_1927711152iple_a), 
12.74/12.92	                        app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                          app_encode_fun(com, 
12.74/12.92	                            app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                              hoare_1927711152iple_a)), 
12.74/12.92	                          hoare_1652181356iple_a, X2), X1), X0))), 
12.74/12.92	                bot_bo1208640912a_bool))
12.74/12.92	       | app_encode_app(bool, $o, hBOOL, 
12.74/12.92	           app_encode_app(state, bool, 
12.74/12.92	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.92	               hAPP_state_bool, 
12.74/12.92	               app_encode_app(x_a, fun_state_bool, 
12.74/12.92	                 app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                   app_encode_fun(x_a, fun_state_bool), 
12.74/12.92	                   hAPP_a2036067514e_bool, X2), sk_Z_1(X2, X0, X1, X3))), 
12.74/12.92	             sk_S(X2, X0, X1, X3)))),
12.74/12.92	    inference('sup+', [status(thm)], ['4', '1'])).
12.74/12.92	tff(zf_stmt_210, axiom,
12.74/12.92	  (app_encode_app(bool,$o,hBOOL,
12.74/12.92	                  app_encode_app(fun_Ho1877127206a_bool,bool,
12.74/12.92	                                 app_encode_app(fun_fu832487784l_bool,
12.74/12.92	                                                app_encode_fun(fun_Ho1877127206a_bool,
12.74/12.92	                                                               bool),
12.74/12.92	                                                hAPP_f1454306822l_bool,
12.74/12.92	                                                finite68738179iple_a),
12.74/12.92	                                 bot_bo1208640912a_bool)))).
12.74/12.92	tff('6', plain,
12.74/12.92	    app_encode_app(bool, $o, hBOOL, 
12.74/12.92	      app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	        app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	          app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	          hAPP_f1454306822l_bool, finite68738179iple_a), 
12.74/12.92	        bot_bo1208640912a_bool)),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_210])).
12.74/12.92	tff(zf_stmt_242, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
12.74/12.92	tff('7', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_242])).
12.74/12.92	tff('8', plain,
12.74/12.92	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
12.74/12.92	    inference('sup-', [status(thm)], ['3', '7'])).
12.74/12.92	tff('9', plain,
12.74/12.92	    (~ $true
12.74/12.92	     | app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	         app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	           app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	           hAPP_f1454306822l_bool, finite68738179iple_a), 
12.74/12.92	         bot_bo1208640912a_bool)
12.74/12.92	        = fTrue),
12.74/12.92	    inference('sup-', [status(thm)], ['6', '8'])).
12.74/12.92	tff('10', plain,
12.74/12.92	    app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	      app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	        app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	        hAPP_f1454306822l_bool, finite68738179iple_a), 
12.74/12.92	      bot_bo1208640912a_bool)
12.74/12.92	     = fTrue,
12.74/12.92	    inference('simplify', [status(thm)], ['9'])).
12.74/12.92	tff('11', plain, app_encode_app(bool, $o, hBOOL, fTrue),
12.74/12.92	    inference('demod', [status(thm)], ['6', '10'])).
12.74/12.92	tff('12', plain,
12.74/12.92	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = fFalse),
12.74/12.92	    inference('sup+', [status(thm)], ['3', '11'])).
12.74/12.92	tff(zf_stmt_180, axiom,
12.74/12.92	  (![X_1:hoare_1927711152iple_a]:
12.74/12.92	     (app_encode_app(bool,$o,hBOOL,
12.74/12.92	                     app_encode_app(hoare_1927711152iple_a,bool,
12.74/12.92	                                    app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                   app_encode_fun(hoare_1927711152iple_a,
12.74/12.92	                                                                  bool),
12.74/12.92	                                                   hAPP_H1448631928a_bool,
12.74/12.92	                                                   bot_bo1208640912a_bool),
12.74/12.92	                                    X_1)) <=>
12.74/12.92	      app_encode_app(bool,$o,hBOOL,bot_bot_bool)))).
12.74/12.92	tff('13', plain,
12.74/12.92	    ![X121 : hoare_1927711152iple_a]:
12.74/12.92	      (app_encode_app(bool, $o, hBOOL, 
12.74/12.92	         app_encode_app(hoare_1927711152iple_a, bool, 
12.74/12.92	           app_encode_app(fun_Ho1877127206a_bool, 
12.74/12.92	             app_encode_fun(hoare_1927711152iple_a, bool), 
12.74/12.92	             hAPP_H1448631928a_bool, bot_bo1208640912a_bool), X121))
12.74/12.92	       | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_180])).
12.74/12.92	tff(zf_stmt_161, axiom,
12.74/12.92	  (bot_bo1208640912a_bool =
12.74/12.92	   app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
12.74/12.92	                  collec829051333iple_a,
12.74/12.92	                  app_encode_app(bool,fun_Ho1877127206a_bool,
12.74/12.92	                                 cOMBK_712844119iple_a,fFalse)))).
12.74/12.92	tff('14', plain,
12.74/12.92	    bot_bo1208640912a_bool
12.74/12.92	     = app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	         collec829051333iple_a, 
12.74/12.92	         app_encode_app(bool, fun_Ho1877127206a_bool, cOMBK_712844119iple_a, 
12.74/12.92	           fFalse)),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_161])).
12.74/12.92	tff(zf_stmt_213, axiom,
12.74/12.92	  (![Pa:fun_Ho1877127206a_bool]:
12.74/12.92	     (app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
12.74/12.92	                     collec829051333iple_a,Pa) =
12.74/12.92	      Pa))).
12.74/12.92	tff('15', plain,
12.74/12.92	    ![X205 : fun_Ho1877127206a_bool]:
12.74/12.92	      app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	        collec829051333iple_a, X205)
12.74/12.92	       = X205,
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_213])).
12.74/12.92	tff('16', plain,
12.74/12.92	    bot_bo1208640912a_bool
12.74/12.92	     = app_encode_app(bool, fun_Ho1877127206a_bool, cOMBK_712844119iple_a, 
12.74/12.92	         fFalse),
12.74/12.92	    inference('demod', [status(thm)], ['14', '15'])).
12.74/12.92	tff(zf_stmt_258, axiom,
12.74/12.92	  (![P:bool,Q:hoare_1927711152iple_a]:
12.74/12.92	     (app_encode_app(hoare_1927711152iple_a,bool,
12.74/12.92	                     app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                    app_encode_fun(hoare_1927711152iple_a,
12.74/12.92	                                                   bool),
12.74/12.92	                                    hAPP_H1448631928a_bool,
12.74/12.92	                                    app_encode_app(bool,
12.74/12.92	                                                   fun_Ho1877127206a_bool,
12.74/12.92	                                                   cOMBK_712844119iple_a,P)),
12.74/12.92	                     Q) =
12.74/12.92	      P))).
12.74/12.92	tff('17', plain,
12.74/12.92	    ![X331 : bool, X332 : hoare_1927711152iple_a]:
12.74/12.92	      app_encode_app(hoare_1927711152iple_a, bool, 
12.74/12.92	        app_encode_app(fun_Ho1877127206a_bool, 
12.74/12.92	          app_encode_fun(hoare_1927711152iple_a, bool), 
12.74/12.92	          hAPP_H1448631928a_bool, 
12.74/12.92	          app_encode_app(bool, fun_Ho1877127206a_bool, 
12.74/12.92	            cOMBK_712844119iple_a, X331)), X332)
12.74/12.92	       = X331,
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_258])).
12.74/12.92	tff('18', plain,
12.74/12.92	    ![X0 : hoare_1927711152iple_a]:
12.74/12.92	      app_encode_app(hoare_1927711152iple_a, bool, 
12.74/12.92	        app_encode_app(fun_Ho1877127206a_bool, 
12.74/12.92	          app_encode_fun(hoare_1927711152iple_a, bool), 
12.74/12.92	          hAPP_H1448631928a_bool, bot_bo1208640912a_bool), X0)
12.74/12.92	       = fFalse,
12.74/12.92	    inference('sup+', [status(thm)], ['16', '17'])).
12.74/12.92	tff('19', plain,
12.74/12.92	    (app_encode_app(bool, $o, hBOOL, fFalse)
12.74/12.92	     | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
12.74/12.92	    inference('demod', [status(thm)], ['13', '18'])).
12.74/12.92	tff('20', plain, ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool),
12.74/12.92	    inference('clc', [status(thm)], ['19', '7'])).
12.74/12.92	tff('21', plain, (~ $true | bot_bot_bool = fFalse),
12.74/12.92	    inference('sup-', [status(thm)], ['12', '20'])).
12.74/12.92	tff('22', plain, bot_bot_bool = fFalse,
12.74/12.92	    inference('simplify', [status(thm)], ['21'])).
12.74/12.92	tff(zf_stmt_151, axiom,
12.74/12.92	  (![A_3:hoare_1927711152iple_a]:
12.74/12.92	     (app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
12.74/12.92	                     collec829051333iple_a,
12.74/12.92	                     app_encode_app(hoare_1927711152iple_a,
12.74/12.92	                                    fun_Ho1877127206a_bool,
12.74/12.92	                                    app_encode_app(fun_Ho440810351a_bool,
12.74/12.92	                                                   app_encode_fun(hoare_1927711152iple_a,
12.74/12.92	                                                                  fun_Ho1877127206a_bool),
12.74/12.92	                                                   hAPP_H1027145665a_bool,
12.74/12.92	                                                   fequal1440857775iple_a),
12.74/12.92	                                    A_3)) =
12.74/12.92	      app_encode_app(fun_Ho1877127206a_bool,fun_Ho1877127206a_bool,
12.74/12.92	                     app_encode_app(fun_fu1585556401a_bool,
12.74/12.92	                                    app_encode_fun(fun_Ho1877127206a_bool,
12.74/12.92	                                                   fun_Ho1877127206a_bool),
12.74/12.92	                                    hAPP_f16502863a_bool,
12.74/12.92	                                    app_encode_app(hoare_1927711152iple_a,
12.74/12.92	                                                   fun_fu1585556401a_bool,
12.74/12.92	                                                   app_encode_app(fun_Ho1630563774a_bool,
12.74/12.92	                                                                  app_encode_fun(
12.74/12.92	                                                                  hoare_1927711152iple_a,
12.74/12.92	                                                                  fun_fu1585556401a_bool),
12.74/12.92	                                                                  hAPP_H1975128022a_bool,
12.74/12.92	                                                                  insert1434104874iple_a),
12.74/12.92	                                                   A_3)),
12.74/12.92	                     bot_bo1208640912a_bool)))).
12.74/12.92	tff('23', plain,
12.74/12.92	    ![X51 : hoare_1927711152iple_a]:
12.74/12.92	      app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	        collec829051333iple_a, 
12.74/12.92	        app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
12.74/12.92	          app_encode_app(fun_Ho440810351a_bool, 
12.74/12.92	            app_encode_fun(hoare_1927711152iple_a, fun_Ho1877127206a_bool), 
12.74/12.92	            hAPP_H1027145665a_bool, fequal1440857775iple_a), X51))
12.74/12.92	       = app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	           app_encode_app(fun_fu1585556401a_bool, 
12.74/12.92	             app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
12.74/12.92	             hAPP_f16502863a_bool, 
12.74/12.92	             app_encode_app(hoare_1927711152iple_a, fun_fu1585556401a_bool, 
12.74/12.92	               app_encode_app(fun_Ho1630563774a_bool, 
12.74/12.92	                 app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                   fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
12.74/12.92	                 insert1434104874iple_a), X51)), bot_bo1208640912a_bool),
12.74/12.92	    inference('cnf', [status(esa)], [zf_stmt_151])).
12.74/12.92	tff('24', plain,
12.74/12.92	    ![X51 : hoare_1927711152iple_a]:
12.74/12.92	      app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
12.74/12.92	        app_encode_app(fun_Ho440810351a_bool, 
12.74/12.92	          app_encode_fun(hoare_1927711152iple_a, fun_Ho1877127206a_bool), 
12.74/12.92	          hAPP_H1027145665a_bool, fequal1440857775iple_a), X51)
12.74/12.92	       = app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	           app_encode_app(fun_fu1585556401a_bool, 
12.74/12.92	             app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
12.74/12.92	             hAPP_f16502863a_bool, 
12.74/12.92	             app_encode_app(hoare_1927711152iple_a, fun_fu1585556401a_bool, 
12.74/12.92	               app_encode_app(fun_Ho1630563774a_bool, 
12.74/12.92	                 app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                   fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
12.74/12.92	                 insert1434104874iple_a), X51)), bot_bo1208640912a_bool),
12.74/12.92	    inference('demod', [status(thm)], ['23', '15'])).
12.74/12.92	tff('25', plain,
12.74/12.92	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
12.74/12.92	      X3 : fun_Ho1877127206a_bool, X4 : bool]:
12.74/12.92	      (app_encode_app(bool, $o, hBOOL, bot_bot_bool)
12.74/12.92	       | X4 = bot_bot_bool
12.74/12.92	       | X4
12.74/12.92	          = app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	              app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	                app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	                hAPP_f1454306822l_bool, 
12.74/12.92	                app_encode_app(fun_Ho1877127206a_bool, 
12.74/12.92	                  fun_fu832487784l_bool, hoare_1617968510rivs_a, X3)), 
12.74/12.92	              app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
12.74/12.92	                app_encode_app(fun_Ho440810351a_bool, 
12.74/12.92	                  app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                    fun_Ho1877127206a_bool), hAPP_H1027145665a_bool, 
12.74/12.92	                  fequal1440857775iple_a), 
12.74/12.92	                app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
12.74/12.92	                  app_encode_app(com, 
12.74/12.92	                    app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                      hoare_1927711152iple_a), 
12.74/12.92	                    app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                      app_encode_fun(com, 
12.74/12.92	                        app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                          hoare_1927711152iple_a)), hoare_1652181356iple_a, 
12.74/12.92	                      X2), X1), X0)))
12.74/12.92	       | app_encode_app(bool, $o, hBOOL, 
12.74/12.92	           app_encode_app(state, bool, 
12.74/12.92	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.92	               hAPP_state_bool, 
12.74/12.92	               app_encode_app(x_a, fun_state_bool, 
12.74/12.92	                 app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                   app_encode_fun(x_a, fun_state_bool), 
12.74/12.92	                   hAPP_a2036067514e_bool, X2), sk_Z_1(X2, X0, X1, X3))), 
12.74/12.92	             sk_S(X2, X0, X1, X3)))),
12.74/12.92	    inference('demod', [status(thm)], ['5', '22', '22', '24'])).
12.74/12.92	tff('26', plain,
12.74/12.92	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
12.74/12.92	      X3 : fun_Ho1877127206a_bool, X4 : bool]:
12.74/12.92	      (app_encode_app(bool, $o, hBOOL, 
12.74/12.92	         app_encode_app(state, bool, 
12.74/12.92	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.92	             hAPP_state_bool, 
12.74/12.92	             app_encode_app(x_a, fun_state_bool, 
12.74/12.92	               app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                 app_encode_fun(x_a, fun_state_bool), 
12.74/12.92	                 hAPP_a2036067514e_bool, X2), sk_Z_1(X2, X0, X1, X3))), 
12.74/12.92	           sk_S(X2, X0, X1, X3)))
12.74/12.92	       | X4
12.74/12.92	          = app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	              app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	                app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	                hAPP_f1454306822l_bool, 
12.74/12.92	                app_encode_app(fun_Ho1877127206a_bool, 
12.74/12.92	                  fun_fu832487784l_bool, hoare_1617968510rivs_a, X3)), 
12.74/12.92	              app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
12.74/12.92	                app_encode_app(fun_Ho440810351a_bool, 
12.74/12.92	                  app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                    fun_Ho1877127206a_bool), hAPP_H1027145665a_bool, 
12.74/12.92	                  fequal1440857775iple_a), 
12.74/12.92	                app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
12.74/12.92	                  app_encode_app(com, 
12.74/12.92	                    app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                      hoare_1927711152iple_a), 
12.74/12.92	                    app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                      app_encode_fun(com, 
12.74/12.92	                        app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                          hoare_1927711152iple_a)), hoare_1652181356iple_a, 
12.74/12.92	                      X2), X1), X0)))
12.74/12.92	       | X4 = bot_bot_bool),
12.74/12.92	    inference('clc', [status(thm)], ['25', '20'])).
12.74/12.92	tff(zf_stmt_273, conjecture,
12.74/12.92	  (app_encode_app(bool,$o,hBOOL,
12.74/12.92	                  app_encode_app(fun_Ho1877127206a_bool,bool,
12.74/12.92	                                 app_encode_app(fun_fu832487784l_bool,
12.74/12.92	                                                app_encode_fun(fun_Ho1877127206a_bool,
12.74/12.92	                                                               bool),
12.74/12.92	                                                hAPP_f1454306822l_bool,
12.74/12.92	                                                app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                               fun_fu832487784l_bool,
12.74/12.92	                                                               hoare_1617968510rivs_a,
12.74/12.92	                                                               g)),
12.74/12.92	                                 app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                fun_Ho1877127206a_bool,
12.74/12.92	                                                app_encode_app(fun_fu1585556401a_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_Ho1877127206a_bool,
12.74/12.92	                                                               fun_Ho1877127206a_bool),
12.74/12.92	                                                               hAPP_f16502863a_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               hoare_1927711152iple_a,
12.74/12.92	                                                               fun_fu1585556401a_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_Ho1630563774a_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               hoare_1927711152iple_a,
12.74/12.92	                                                               fun_fu1585556401a_bool),
12.74/12.92	                                                               hAPP_H1975128022a_bool,
12.74/12.92	                                                               insert1434104874iple_a),
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               hoare_1927711152iple_a,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               com,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               hoare_1927711152iple_a),
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               com,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               hoare_1927711152iple_a)),
12.74/12.92	                                                               hoare_1652181356iple_a,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               cOMBK_1458035955bool_a,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               bool,
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               cOMBK_bool_state,
12.74/12.92	                                                               fFalse))),c),
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu281355805e_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               fun_a_fun_state_bool),
12.74/12.92	                                                               hAPP_f762886889e_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_a_2117018159e_bool,
12.74/12.92	                                                               fun_fu281355805e_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu734682033e_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_a_2117018159e_bool,
12.74/12.92	                                                               fun_fu281355805e_bool),
12.74/12.92	                                                               hAPP_f1261923407e_bool,
12.74/12.92	                                                               cOMBC_892787026e_bool),
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_a_1632297036l_bool,
12.74/12.92	                                                               fun_a_2117018159e_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu2008829792e_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_a_1632297036l_bool,
12.74/12.92	                                                               fun_a_2117018159e_bool),
12.74/12.92	                                                               hAPP_f963367678e_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu1047394976e_bool,
12.74/12.92	                                                               fun_fu2008829792e_bool,
12.74/12.92	                                                               cOMBB_145932198bool_a,
12.74/12.92	                                                               cOMBS_1378840469l_bool)),
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               fun_a_1632297036l_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu2118559873l_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_a_fun_state_bool,
12.74/12.92	                                                               fun_a_1632297036l_bool),
12.74/12.92	                                                               hAPP_f1509969235l_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu1658206819l_bool,
12.74/12.92	                                                               fun_fu2118559873l_bool,
12.74/12.92	                                                               cOMBB_1355796797bool_a,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_bo1549164019l_bool,
12.74/12.92	                                                               fun_fu1658206819l_bool,
12.74/12.92	                                                               cOMBB_188601460_state,
12.74/12.92	                                                               fconj))),p)))),
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_fu373216837e_bool,
12.74/12.92	                                                               app_encode_fun(
12.74/12.92	                                                               fun_state_bool,
12.74/12.92	                                                               fun_state_bool),
12.74/12.92	                                                               hAPP_f1759915619e_bool,
12.74/12.92	                                                               app_encode_app(
12.74/12.92	                                                               fun_bool_bool,
12.74/12.92	                                                               fun_fu373216837e_bool,
12.74/12.92	                                                               cOMBB_160679318_state,
12.74/12.92	                                                               fNot)),b))))),
12.74/12.92	                                                bot_bo1208640912a_bool))))).
12.74/12.92	tff(zf_stmt_0, negated_conjecture,
12.74/12.92	  (~
12.74/12.92	    app_encode_app(bool,$o,hBOOL,
12.74/12.92	                   app_encode_app(fun_Ho1877127206a_bool,bool,
12.74/12.92	                                  app_encode_app(fun_fu832487784l_bool,
12.74/12.92	                                                 app_encode_fun(fun_Ho1877127206a_bool,
12.74/12.92	                                                                bool),
12.74/12.92	                                                 hAPP_f1454306822l_bool,
12.74/12.92	                                                 app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                                fun_fu832487784l_bool,
12.74/12.92	                                                                hoare_1617968510rivs_a,
12.74/12.92	                                                                g)),
12.74/12.92	                                  app_encode_app(fun_Ho1877127206a_bool,
12.74/12.92	                                                 fun_Ho1877127206a_bool,
12.74/12.92	                                                 app_encode_app(fun_fu1585556401a_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_Ho1877127206a_bool,
12.74/12.92	                                                                fun_Ho1877127206a_bool),
12.74/12.92	                                                                hAPP_f16502863a_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                hoare_1927711152iple_a,
12.74/12.92	                                                                fun_fu1585556401a_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_Ho1630563774a_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                hoare_1927711152iple_a,
12.74/12.92	                                                                fun_fu1585556401a_bool),
12.74/12.92	                                                                hAPP_H1975128022a_bool,
12.74/12.92	                                                                insert1434104874iple_a),
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                hoare_1927711152iple_a,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                com,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                hoare_1927711152iple_a),
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                com,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                hoare_1927711152iple_a)),
12.74/12.92	                                                                hoare_1652181356iple_a,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                cOMBK_1458035955bool_a,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                bool,
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                cOMBK_bool_state,
12.74/12.92	                                                                fFalse))),c),
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu281355805e_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                fun_a_fun_state_bool),
12.74/12.92	                                                                hAPP_f762886889e_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_a_2117018159e_bool,
12.74/12.92	                                                                fun_fu281355805e_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu734682033e_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_a_2117018159e_bool,
12.74/12.92	                                                                fun_fu281355805e_bool),
12.74/12.92	                                                                hAPP_f1261923407e_bool,
12.74/12.92	                                                                cOMBC_892787026e_bool),
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_a_1632297036l_bool,
12.74/12.92	                                                                fun_a_2117018159e_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu2008829792e_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_a_1632297036l_bool,
12.74/12.92	                                                                fun_a_2117018159e_bool),
12.74/12.92	                                                                hAPP_f963367678e_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu1047394976e_bool,
12.74/12.92	                                                                fun_fu2008829792e_bool,
12.74/12.92	                                                                cOMBB_145932198bool_a,
12.74/12.92	                                                                cOMBS_1378840469l_bool)),
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                fun_a_1632297036l_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu2118559873l_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_a_fun_state_bool,
12.74/12.92	                                                                fun_a_1632297036l_bool),
12.74/12.92	                                                                hAPP_f1509969235l_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu1658206819l_bool,
12.74/12.92	                                                                fun_fu2118559873l_bool,
12.74/12.92	                                                                cOMBB_1355796797bool_a,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_bo1549164019l_bool,
12.74/12.92	                                                                fun_fu1658206819l_bool,
12.74/12.92	                                                                cOMBB_188601460_state,
12.74/12.92	                                                                fconj))),p)))),
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_fu373216837e_bool,
12.74/12.92	                                                                app_encode_fun(
12.74/12.92	                                                                fun_state_bool,
12.74/12.92	                                                                fun_state_bool),
12.74/12.92	                                                                hAPP_f1759915619e_bool,
12.74/12.92	                                                                app_encode_app(
12.74/12.92	                                                                fun_bool_bool,
12.74/12.92	                                                                fun_fu373216837e_bool,
12.74/12.92	                                                                cOMBB_160679318_state,
12.74/12.92	                                                                fNot)),b))))),
12.74/12.92	                                                 bot_bo1208640912a_bool))))).
12.74/12.92	tff('27', plain,
12.74/12.92	    ~ app_encode_app(bool, $o, hBOOL, 
12.74/12.92	        app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.92	          app_encode_app(fun_fu832487784l_bool, 
12.74/12.92	            app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.92	            hAPP_f1454306822l_bool, 
12.74/12.92	            app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
12.74/12.92	              hoare_1617968510rivs_a, g)), 
12.74/12.92	          app_encode_app(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool, 
12.74/12.92	            app_encode_app(fun_fu1585556401a_bool, 
12.74/12.92	              app_encode_fun(fun_Ho1877127206a_bool, fun_Ho1877127206a_bool), 
12.74/12.92	              hAPP_f16502863a_bool, 
12.74/12.92	              app_encode_app(hoare_1927711152iple_a, fun_fu1585556401a_bool, 
12.74/12.92	                app_encode_app(fun_Ho1630563774a_bool, 
12.74/12.92	                  app_encode_fun(hoare_1927711152iple_a, 
12.74/12.92	                    fun_fu1585556401a_bool), hAPP_H1975128022a_bool, 
12.74/12.92	                  insert1434104874iple_a), 
12.74/12.92	                app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
12.74/12.92	                  app_encode_app(com, 
12.74/12.92	                    app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                      hoare_1927711152iple_a), 
12.74/12.92	                    app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                      app_encode_fun(com, 
12.74/12.92	                        app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                          hoare_1927711152iple_a)), hoare_1652181356iple_a, 
12.74/12.92	                      app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.92	                        cOMBK_1458035955bool_a, 
12.74/12.92	                        app_encode_app(bool, fun_state_bool, 
12.74/12.92	                          cOMBK_bool_state, fFalse))), c), 
12.74/12.92	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.92	                    app_encode_app(fun_fu281355805e_bool, 
12.74/12.92	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
12.74/12.92	                      hAPP_f762886889e_bool, 
12.74/12.92	                      app_encode_app(fun_a_2117018159e_bool, 
12.74/12.92	                        fun_fu281355805e_bool, 
12.74/12.92	                        app_encode_app(fun_fu734682033e_bool, 
12.74/12.92	                          app_encode_fun(fun_a_2117018159e_bool, 
12.74/12.92	                            fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
12.74/12.92	                          cOMBC_892787026e_bool), 
12.74/12.92	                        app_encode_app(fun_a_1632297036l_bool, 
12.74/12.92	                          fun_a_2117018159e_bool, 
12.74/12.92	                          app_encode_app(fun_fu2008829792e_bool, 
12.74/12.92	                            app_encode_fun(fun_a_1632297036l_bool, 
12.74/12.92	                              fun_a_2117018159e_bool), 
12.74/12.92	                            hAPP_f963367678e_bool, 
12.74/12.92	                            app_encode_app(fun_fu1047394976e_bool, 
12.74/12.92	                              fun_fu2008829792e_bool, cOMBB_145932198bool_a, 
12.74/12.92	                              cOMBS_1378840469l_bool)), 
12.74/12.92	                          app_encode_app(fun_a_fun_state_bool, 
12.74/12.92	                            fun_a_1632297036l_bool, 
12.74/12.92	                            app_encode_app(fun_fu2118559873l_bool, 
12.74/12.92	                              app_encode_fun(fun_a_fun_state_bool, 
12.74/12.92	                                fun_a_1632297036l_bool), 
12.74/12.92	                              hAPP_f1509969235l_bool, 
12.74/12.92	                              app_encode_app(fun_fu1658206819l_bool, 
12.74/12.92	                                fun_fu2118559873l_bool, 
12.74/12.92	                                cOMBB_1355796797bool_a, 
12.74/12.92	                                app_encode_app(fun_bo1549164019l_bool, 
12.74/12.92	                                  fun_fu1658206819l_bool, 
12.74/12.92	                                  cOMBB_188601460_state, fconj))), p)))), 
12.74/12.92	                    app_encode_app(fun_state_bool, fun_state_bool, 
12.74/12.92	                      app_encode_app(fun_fu373216837e_bool, 
12.74/12.92	                        app_encode_fun(fun_state_bool, fun_state_bool), 
12.74/12.92	                        hAPP_f1759915619e_bool, 
12.74/12.92	                        app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
12.74/12.92	                          cOMBB_160679318_state, fNot)), b))))), 
12.74/12.93	            bot_bo1208640912a_bool))),
12.74/12.93	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.74/12.93	tff('28', plain,
12.74/12.93	    ~ app_encode_app(bool, $o, hBOOL, 
12.74/12.93	        app_encode_app(fun_Ho1877127206a_bool, bool, 
12.74/12.93	          app_encode_app(fun_fu832487784l_bool, 
12.74/12.93	            app_encode_fun(fun_Ho1877127206a_bool, bool), 
12.74/12.93	            hAPP_f1454306822l_bool, 
12.74/12.93	            app_encode_app(fun_Ho1877127206a_bool, fun_fu832487784l_bool, 
12.74/12.93	              hoare_1617968510rivs_a, g)), 
12.74/12.93	          app_encode_app(hoare_1927711152iple_a, fun_Ho1877127206a_bool, 
12.74/12.93	            app_encode_app(fun_Ho440810351a_bool, 
12.74/12.93	              app_encode_fun(hoare_1927711152iple_a, fun_Ho1877127206a_bool), 
12.74/12.93	              hAPP_H1027145665a_bool, fequal1440857775iple_a), 
12.74/12.93	            app_encode_app(fun_a_fun_state_bool, hoare_1927711152iple_a, 
12.74/12.93	              app_encode_app(com, 
12.74/12.93	                app_encode_fun(fun_a_fun_state_bool, hoare_1927711152iple_a), 
12.74/12.93	                app_encode_app(fun_a_fun_state_bool, 
12.74/12.93	                  app_encode_fun(com, 
12.74/12.93	                    app_encode_fun(fun_a_fun_state_bool, 
12.74/12.93	                      hoare_1927711152iple_a)), hoare_1652181356iple_a, 
12.74/12.93	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                    cOMBK_1458035955bool_a, 
12.74/12.93	                    app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
12.74/12.93	                      bot_bot_bool))), c), 
12.74/12.93	              app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                app_encode_app(fun_fu281355805e_bool, 
12.74/12.93	                  app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
12.74/12.93	                  hAPP_f762886889e_bool, 
12.74/12.93	                  app_encode_app(fun_a_2117018159e_bool, 
12.74/12.93	                    fun_fu281355805e_bool, 
12.74/12.93	                    app_encode_app(fun_fu734682033e_bool, 
12.74/12.93	                      app_encode_fun(fun_a_2117018159e_bool, 
12.74/12.93	                        fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
12.74/12.93	                      cOMBC_892787026e_bool), 
12.74/12.93	                    app_encode_app(fun_a_1632297036l_bool, 
12.74/12.93	                      fun_a_2117018159e_bool, 
12.74/12.93	                      app_encode_app(fun_fu2008829792e_bool, 
12.74/12.93	                        app_encode_fun(fun_a_1632297036l_bool, 
12.74/12.93	                          fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
12.74/12.93	                        app_encode_app(fun_fu1047394976e_bool, 
12.74/12.93	                          fun_fu2008829792e_bool, cOMBB_145932198bool_a, 
12.74/12.93	                          cOMBS_1378840469l_bool)), 
12.74/12.93	                      app_encode_app(fun_a_fun_state_bool, 
12.74/12.93	                        fun_a_1632297036l_bool, 
12.74/12.93	                        app_encode_app(fun_fu2118559873l_bool, 
12.74/12.93	                          app_encode_fun(fun_a_fun_state_bool, 
12.74/12.93	                            fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
12.74/12.93	                          app_encode_app(fun_fu1658206819l_bool, 
12.74/12.93	                            fun_fu2118559873l_bool, cOMBB_1355796797bool_a, 
12.74/12.93	                            app_encode_app(fun_bo1549164019l_bool, 
12.74/12.93	                              fun_fu1658206819l_bool, cOMBB_188601460_state, 
12.74/12.93	                              fconj))), p)))), 
12.74/12.93	                app_encode_app(fun_state_bool, fun_state_bool, 
12.74/12.93	                  app_encode_app(fun_fu373216837e_bool, 
12.74/12.93	                    app_encode_fun(fun_state_bool, fun_state_bool), 
12.74/12.93	                    hAPP_f1759915619e_bool, 
12.74/12.93	                    app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
12.74/12.93	                      cOMBB_160679318_state, fNot)), b)))))),
12.74/12.93	    inference('demod', [status(thm)], ['27', '22', '24'])).
12.74/12.93	tff('29', plain,
12.74/12.93	    ![X0 : bool]:
12.74/12.93	      (~ app_encode_app(bool, $o, hBOOL, X0)
12.74/12.93	       | X0 = bot_bot_bool
12.74/12.93	       | app_encode_app(bool, $o, hBOOL, 
12.74/12.93	           app_encode_app(state, bool, 
12.74/12.93	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.93	               hAPP_state_bool, 
12.74/12.93	               app_encode_app(x_a, fun_state_bool, 
12.74/12.93	                 app_encode_app(fun_a_fun_state_bool, 
12.74/12.93	                   app_encode_fun(x_a, fun_state_bool), 
12.74/12.93	                   hAPP_a2036067514e_bool, 
12.74/12.93	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                     cOMBK_1458035955bool_a, 
12.74/12.93	                     app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
12.74/12.93	                       bot_bot_bool))), 
12.74/12.93	                 sk_Z_1(
12.74/12.93	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                     cOMBK_1458035955bool_a, 
12.74/12.93	                     app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
12.74/12.93	                       bot_bot_bool)), 
12.74/12.93	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                     app_encode_app(fun_fu281355805e_bool, 
12.74/12.93	                       app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
12.74/12.93	                       hAPP_f762886889e_bool, 
12.74/12.93	                       app_encode_app(fun_a_2117018159e_bool, 
12.74/12.93	                         fun_fu281355805e_bool, 
12.74/12.93	                         app_encode_app(fun_fu734682033e_bool, 
12.74/12.93	                           app_encode_fun(fun_a_2117018159e_bool, 
12.74/12.93	                             fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
12.74/12.93	                           cOMBC_892787026e_bool), 
12.74/12.93	                         app_encode_app(fun_a_1632297036l_bool, 
12.74/12.93	                           fun_a_2117018159e_bool, 
12.74/12.93	                           app_encode_app(fun_fu2008829792e_bool, 
12.74/12.93	                             app_encode_fun(fun_a_1632297036l_bool, 
12.74/12.93	                               fun_a_2117018159e_bool), 
12.74/12.93	                             hAPP_f963367678e_bool, 
12.74/12.93	                             app_encode_app(fun_fu1047394976e_bool, 
12.74/12.93	                               fun_fu2008829792e_bool, 
12.74/12.93	                               cOMBB_145932198bool_a, cOMBS_1378840469l_bool)), 
12.74/12.93	                           app_encode_app(fun_a_fun_state_bool, 
12.74/12.93	                             fun_a_1632297036l_bool, 
12.74/12.93	                             app_encode_app(fun_fu2118559873l_bool, 
12.74/12.93	                               app_encode_fun(fun_a_fun_state_bool, 
12.74/12.93	                                 fun_a_1632297036l_bool), 
12.74/12.93	                               hAPP_f1509969235l_bool, 
12.74/12.93	                               app_encode_app(fun_fu1658206819l_bool, 
12.74/12.93	                                 fun_fu2118559873l_bool, 
12.74/12.93	                                 cOMBB_1355796797bool_a, 
12.74/12.93	                                 app_encode_app(fun_bo1549164019l_bool, 
12.74/12.93	                                   fun_fu1658206819l_bool, 
12.74/12.93	                                   cOMBB_188601460_state, fconj))), p)))), 
12.74/12.93	                     app_encode_app(fun_state_bool, fun_state_bool, 
12.74/12.93	                       app_encode_app(fun_fu373216837e_bool, 
12.74/12.93	                         app_encode_fun(fun_state_bool, fun_state_bool), 
12.74/12.93	                         hAPP_f1759915619e_bool, 
12.74/12.93	                         app_encode_app(fun_bool_bool, 
12.74/12.93	                           fun_fu373216837e_bool, cOMBB_160679318_state, 
12.74/12.93	                           fNot)), b)), c, g))), 
12.74/12.93	             sk_S(
12.74/12.93	               app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                 cOMBK_1458035955bool_a, 
12.74/12.93	                 app_encode_app(bool, fun_state_bool, cOMBK_bool_state, 
12.74/12.93	                   bot_bot_bool)), 
12.74/12.93	               app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	                 app_encode_app(fun_fu281355805e_bool, 
12.74/12.93	                   app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
12.74/12.93	                   hAPP_f762886889e_bool, 
12.74/12.93	                   app_encode_app(fun_a_2117018159e_bool, 
12.74/12.93	                     fun_fu281355805e_bool, 
12.74/12.93	                     app_encode_app(fun_fu734682033e_bool, 
12.74/12.93	                       app_encode_fun(fun_a_2117018159e_bool, 
12.74/12.93	                         fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
12.74/12.93	                       cOMBC_892787026e_bool), 
12.74/12.93	                     app_encode_app(fun_a_1632297036l_bool, 
12.74/12.93	                       fun_a_2117018159e_bool, 
12.74/12.93	                       app_encode_app(fun_fu2008829792e_bool, 
12.74/12.93	                         app_encode_fun(fun_a_1632297036l_bool, 
12.74/12.93	                           fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
12.74/12.93	                         app_encode_app(fun_fu1047394976e_bool, 
12.74/12.93	                           fun_fu2008829792e_bool, cOMBB_145932198bool_a, 
12.74/12.93	                           cOMBS_1378840469l_bool)), 
12.74/12.93	                       app_encode_app(fun_a_fun_state_bool, 
12.74/12.93	                         fun_a_1632297036l_bool, 
12.74/12.93	                         app_encode_app(fun_fu2118559873l_bool, 
12.74/12.93	                           app_encode_fun(fun_a_fun_state_bool, 
12.74/12.93	                             fun_a_1632297036l_bool), 
12.74/12.93	                           hAPP_f1509969235l_bool, 
12.74/12.93	                           app_encode_app(fun_fu1658206819l_bool, 
12.74/12.93	                             fun_fu2118559873l_bool, cOMBB_1355796797bool_a, 
12.74/12.93	                             app_encode_app(fun_bo1549164019l_bool, 
12.74/12.93	                               fun_fu1658206819l_bool, 
12.74/12.93	                               cOMBB_188601460_state, fconj))), p)))), 
12.74/12.93	                 app_encode_app(fun_state_bool, fun_state_bool, 
12.74/12.93	                   app_encode_app(fun_fu373216837e_bool, 
12.74/12.93	                     app_encode_fun(fun_state_bool, fun_state_bool), 
12.74/12.93	                     hAPP_f1759915619e_bool, 
12.74/12.93	                     app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
12.74/12.93	                       cOMBB_160679318_state, fNot)), b)), c, g)))),
12.74/12.93	    inference('sup-', [status(thm)], ['26', '28'])).
12.74/12.93	tff(zf_stmt_250, axiom,
12.74/12.93	  (![P:fun_state_bool,Q:x_a]:
12.74/12.93	     (app_encode_app(x_a,fun_state_bool,
12.74/12.93	                     app_encode_app(fun_a_fun_state_bool,
12.74/12.93	                                    app_encode_fun(x_a,fun_state_bool),
12.74/12.93	                                    hAPP_a2036067514e_bool,
12.74/12.93	                                    app_encode_app(fun_state_bool,
12.74/12.93	                                                   fun_a_fun_state_bool,
12.74/12.93	                                                   cOMBK_1458035955bool_a,P)),
12.74/12.93	                     Q) =
12.74/12.93	      P))).
12.74/12.93	tff('30', plain,
12.74/12.93	    ![X310 : fun_state_bool, X311 : x_a]:
12.74/12.93	      app_encode_app(x_a, fun_state_bool, 
12.74/12.93	        app_encode_app(fun_a_fun_state_bool, 
12.74/12.93	          app_encode_fun(x_a, fun_state_bool), hAPP_a2036067514e_bool, 
12.74/12.93	          app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
12.74/12.93	            cOMBK_1458035955bool_a, X310)), X311)
12.74/12.93	       = X310,
12.74/12.93	    inference('cnf', [status(esa)], [zf_stmt_250])).
12.74/12.93	tff(zf_stmt_249, axiom,
12.74/12.93	  (![P:bool,Q:state]:
12.74/12.93	     (app_encode_app(state,bool,
12.74/12.93	                     app_encode_app(fun_state_bool,
12.74/12.93	                                    app_encode_fun(state,bool),
12.74/12.93	                                    hAPP_state_bool,
12.74/12.93	                                    app_encode_app(bool,fun_state_bool,
12.74/12.93	                                                   cOMBK_bool_state,P)),
12.74/12.93	                     Q) =
12.74/12.93	      P))).
12.74/12.93	tff('31', plain,
12.74/12.93	    ![X308 : bool, X309 : state]:
12.74/12.93	      app_encode_app(state, bool, 
12.74/12.93	        app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
12.74/12.93	          hAPP_state_bool, 
12.74/12.93	          app_encode_app(bool, fun_state_bool, cOMBK_bool_state, X308)), 
12.74/12.93	        X309)
12.74/12.93	       = X308,
12.74/12.93	    inference('cnf', [status(esa)], [zf_stmt_249])).
12.74/12.93	tff('32', plain,
12.74/12.93	    ![X0 : bool]:
12.74/12.93	      (~ app_encode_app(bool, $o, hBOOL, X0)
12.74/12.93	       | X0 = bot_bot_bool
12.74/12.93	       | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
12.74/12.93	    inference('demod', [status(thm)], ['29', '30', '31'])).
12.74/12.93	tff('33', plain,
12.74/12.93	    ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fTrue | X1 = fTrue),
12.74/12.93	    inference('sup+', [status(thm)], ['3', '3'])).
12.74/12.93	tff('34', plain,
12.74/12.93	    ![X0 : bool, X1 : bool]:
12.74/12.93	      (app_encode_app(bool, $o, hBOOL, X0) | X1 = fTrue | X1 = X0),
12.74/12.93	    inference('sup+', [status(thm)], ['33', '11'])).
12.74/12.93	tff('35', plain,
12.74/12.93	    ![X0 : bool, X1 : bool]:
12.74/12.93	      (app_encode_app(bool, $o, hBOOL, X0)
12.74/12.93	       | X0 = X1
12.74/12.93	       | app_encode_app(bool, $o, hBOOL, X1)),
12.74/12.93	    inference('sup+', [status(thm)], ['34', '11'])).
12.74/12.93	tff('36', plain,
12.74/12.93	    ![X0 : bool]:
12.74/12.93	      (~ $true | app_encode_app(bool, $o, hBOOL, X0) | bot_bot_bool = X0),
12.74/12.93	    inference('sup-', [status(thm)], ['35', '20'])).
12.74/12.93	tff('37', plain,
12.74/12.93	    ![X0 : bool]: (bot_bot_bool = X0 | app_encode_app(bool, $o, hBOOL, X0)),
12.74/12.93	    inference('simplify', [status(thm)], ['36'])).
12.74/12.93	tff('38', plain,
12.74/12.93	    ![X0 : bool]:
12.74/12.93	      (app_encode_app(bool, $o, hBOOL, bot_bot_bool) | X0 = bot_bot_bool),
12.74/12.93	    inference('clc', [status(thm)], ['32', '37'])).
12.74/12.93	tff('39', plain, ![X0 : bool]: X0 = bot_bot_bool,
12.74/12.93	    inference('clc', [status(thm)], ['38', '20'])).
12.74/12.93	tff(zf_stmt_2, axiom,
12.74/12.93	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
12.74/12.93	     ((![Z:Alpha]:
12.74/12.93	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
12.74/12.93	      (X = Y)))).
12.74/12.93	tff('40', plain,
12.74/12.93	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
12.74/12.93	      X3 : app_encode_fun(X0, X1)]:
12.74/12.93	      (X3 = X2
12.74/12.93	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
12.74/12.93	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
12.74/12.93	    inference('cnf', [status(esa)], [zf_stmt_2])).
12.74/12.93	tff('41', plain,
12.74/12.93	    ![X0 : $tType, X1 : app_encode_fun(X0, bool), 
12.74/12.93	      X2 : app_encode_fun(X0, bool)]:
12.74/12.93	      (app_encode_app(X0, bool, X1, sk_Z(bool, X0, X2, X1)) != bot_bot_bool
12.74/12.93	       | X1 = X2),
12.74/12.93	    inference('sup-', [status(thm)], ['39', '40'])).
12.74/12.93	tff('42', plain,
12.74/12.93	    ![X0 : $tType, X1 : app_encode_fun(X0, bool), 
12.74/12.93	      X2 : app_encode_fun(X0, bool)]:
12.74/12.93	      (bot_bot_bool != bot_bot_bool | X1 = X2),
12.74/12.93	    inference('demod', [status(thm)], ['41', '39'])).
12.74/12.93	tff('43', plain,
12.74/12.93	    ![X0 : $tType, X1 : app_encode_fun(X0, bool), 
12.74/12.93	      X2 : app_encode_fun(X0, bool)]: X1 = X2,
12.74/12.93	    inference('simplify', [status(thm)], ['42'])).
12.74/12.93	tff('44', plain, ![X0 : bool, X1 : bool]: X1 = X0,
12.74/12.93	    inference('sup+', [status(thm)], ['39', '39'])).
12.74/12.93	tff('45', plain,
12.74/12.93	    ![X1 : bool]:
12.74/12.93	      (app_encode_app(bool, $o, hBOOL, X1)
12.74/12.93	       | app_encode_app(bool, $o, hBOOL, X1)),
12.74/12.93	    inference('demod', [status(thm)], ['2', '43', '24', '44', '43', '44'])).
12.74/12.93	tff('46', plain, ![X1 : bool]: app_encode_app(bool, $o, hBOOL, X1),
12.74/12.93	    inference('simplify', [status(thm)], ['45'])).
12.74/12.93	tff('47', plain, ~ $true, inference('sup-', [status(thm)], ['46', '20'])).
12.74/12.93	tff('48', plain, $false, inference('simplify', [status(thm)], ['47'])).
12.74/12.93	
12.74/12.93	% SZS output end Refutation
12.74/12.93	EOF
