0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n189.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:28:08 CST 2018
64.41/64.53	% done 10408 iterations in 64.329s
64.41/64.53	% SZS status Theorem for 'stdin'
64.41/64.53	% SZS output start Refutation
64.41/64.53	tff(zf_stmt_953, axiom,
64.41/64.53	  (app_encode_app(bool,$o,hBOOL,
64.41/64.53	                  app_encode_app(fun_Ho611385006a_bool,bool,
64.41/64.53	                                 finite701293802a_bool,insert1051021594iple_a)))).
64.41/64.53	tff('0', plain,
64.41/64.53	    app_encode_app(bool, $o, hBOOL, 
64.41/64.53	      app_encode_app(fun_Ho611385006a_bool, bool, finite701293802a_bool, 
64.41/64.53	        insert1051021594iple_a)),
64.41/64.53	    inference('cnf', [status(esa)], [zf_stmt_953])).
64.41/64.53	tff(zf_stmt_1249, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
64.41/64.53	tff('1', plain, ![X1987 : bool]: (X1987 = fTrue | X1987 = fFalse),
64.41/64.53	    inference('cnf', [status(esa)], [zf_stmt_1249])).
64.41/64.53	tff(zf_stmt_1248, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
64.41/64.53	tff('2', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
64.41/64.53	    inference('cnf', [status(esa)], [zf_stmt_1248])).
64.41/64.53	tff('3', plain,
64.41/64.53	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
64.41/64.53	    inference('sup-', [status(thm)], ['1', '2'])).
64.41/64.53	tff('4', plain,
64.41/64.53	    (~ $true
64.41/64.53	     | app_encode_app(fun_Ho611385006a_bool, bool, finite701293802a_bool, 
64.41/64.53	         insert1051021594iple_a)
64.41/64.53	        = fTrue),
64.41/64.53	    inference('sup-', [status(thm)], ['0', '3'])).
64.41/64.53	tff('5', plain,
64.41/64.53	    app_encode_app(fun_Ho611385006a_bool, bool, finite701293802a_bool, 
64.41/64.53	      insert1051021594iple_a)
64.41/64.53	     = fTrue,
64.41/64.53	    inference('simplify', [status(thm)], ['4'])).
64.41/64.53	tff('6', plain, app_encode_app(bool, $o, hBOOL, fTrue),
64.41/64.53	    inference('demod', [status(thm)], ['0', '5'])).
64.41/64.53	tff(zf_stmt_1031, axiom,
64.41/64.53	  (![X_1:bool,Y_7:bool]:
64.41/64.53	     ((app_encode_app(bool,$o,hBOOL,
64.41/64.53	                      app_encode_app(bool,bool,
64.41/64.53	                                     app_encode_app(fun_bool_bool,
64.41/64.53	                                                    app_encode_fun(bool,bool),
64.41/64.53	                                                    hAPP_bool_bool,
64.41/64.53	                                                    app_encode_app(bool,
64.41/64.53	                                                                   fun_bool_bool,
64.41/64.53	                                                                   app_encode_app(
64.41/64.53	                                                                   fun_bo1549164019l_bool,
64.41/64.53	                                                                   app_encode_fun(
64.41/64.53	                                                                   bool,
64.41/64.53	                                                                   fun_bool_bool),
64.41/64.53	                                                                   hAPP_b589554111l_bool,
64.41/64.53	                                                                   semila1168014441p_bool),
64.41/64.53	                                                                   X_1)),
64.41/64.53	                                     Y_7)) <=>
64.41/64.53	       app_encode_app(bool,$o,hBOOL,bot_bot_bool)) <=>
64.41/64.53	      ((app_encode_app(bool,$o,hBOOL,Y_7) <=>
64.41/64.53	        app_encode_app(bool,$o,hBOOL,bot_bot_bool)) & 
64.41/64.53	       (app_encode_app(bool,$o,hBOOL,X_1) <=>
64.41/64.53	        app_encode_app(bool,$o,hBOOL,bot_bot_bool)))))).
64.41/64.53	tff(zf_stmt_0, axiom,
64.41/64.53	  (zip_tseitin3(Y_7) <=>
64.41/64.53	   (app_encode_app(bool,$o,hBOOL,Y_7) <=>
64.41/64.53	    app_encode_app(bool,$o,hBOOL,bot_bot_bool)))).
64.41/64.53	tff('7', plain,
64.41/64.53	    ![X1453 : bool]:
64.41/64.54	      (~ app_encode_app(bool, $o, hBOOL, X1453)
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, bot_bot_bool)
64.41/64.54	       | ~ zip_tseitin3(X1453)),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
64.41/64.54	tff('8', plain,
64.41/64.54	    (~ $true
64.41/64.54	     | ~ zip_tseitin3(fTrue)
64.41/64.54	     | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
64.41/64.54	    inference('sup-', [status(thm)], ['6', '7'])).
64.41/64.54	tff('9', plain,
64.41/64.54	    (app_encode_app(bool, $o, hBOOL, bot_bot_bool) | ~ zip_tseitin3(fTrue)),
64.41/64.54	    inference('simplify', [status(thm)], ['8'])).
64.41/64.54	tff(zf_stmt_664, axiom,
64.41/64.54	  (![X_1:hoare_1544627872iple_a]:
64.41/64.54	     (app_encode_app(bool,$o,hBOOL,
64.41/64.54	                     app_encode_app(hoare_1544627872iple_a,bool,
64.41/64.54	                                    app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                   app_encode_fun(hoare_1544627872iple_a,
64.41/64.54	                                                                  bool),
64.41/64.54	                                                   hAPP_H2006434664a_bool,
64.41/64.54	                                                   bot_bo1766443648a_bool),
64.41/64.54	                                    X_1)) <=>
64.41/64.54	      app_encode_app(bool,$o,hBOOL,bot_bot_bool)))).
64.41/64.54	tff('10', plain,
64.41/64.54	    ![X333 : hoare_1544627872iple_a]:
64.41/64.54	      (app_encode_app(bool, $o, hBOOL, 
64.41/64.54	         app_encode_app(hoare_1544627872iple_a, bool, 
64.41/64.54	           app_encode_app(fun_Ho287446294a_bool, 
64.41/64.54	             app_encode_fun(hoare_1544627872iple_a, bool), 
64.41/64.54	             hAPP_H2006434664a_bool, bot_bo1766443648a_bool), X333))
64.41/64.54	       | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_664])).
64.41/64.54	tff(zf_stmt_604, axiom,
64.41/64.54	  (bot_bo1766443648a_bool =
64.41/64.54	   app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
64.41/64.54	                  collec445968053iple_a,
64.41/64.54	                  app_encode_app(bool,fun_Ho287446294a_bool,
64.41/64.54	                                 app_encode_app(fun_bo873159128a_bool,
64.41/64.54	                                                app_encode_fun(bool,
64.41/64.54	                                                               fun_Ho287446294a_bool),
64.41/64.54	                                                hAPP_b704538998a_bool,
64.41/64.54	                                                cOMBK_329760839iple_a),
64.41/64.54	                                 fFalse)))).
64.41/64.54	tff('11', plain,
64.41/64.54	    bot_bo1766443648a_bool
64.41/64.54	     = app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	         collec445968053iple_a, 
64.41/64.54	         app_encode_app(bool, fun_Ho287446294a_bool, 
64.41/64.54	           app_encode_app(fun_bo873159128a_bool, 
64.41/64.54	             app_encode_fun(bool, fun_Ho287446294a_bool), 
64.41/64.54	             hAPP_b704538998a_bool, cOMBK_329760839iple_a), fFalse)),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_604])).
64.41/64.54	tff(zf_stmt_772, axiom,
64.41/64.54	  (![Pa:fun_Ho287446294a_bool]:
64.41/64.54	     (app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
64.41/64.54	                     collec445968053iple_a,Pa) =
64.41/64.54	      Pa))).
64.41/64.54	tff('12', plain,
64.41/64.54	    ![X662 : fun_Ho287446294a_bool]:
64.41/64.54	      app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	        collec445968053iple_a, X662)
64.41/64.54	       = X662,
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_772])).
64.41/64.54	tff('13', plain,
64.41/64.54	    bot_bo1766443648a_bool
64.41/64.54	     = app_encode_app(bool, fun_Ho287446294a_bool, 
64.41/64.54	         app_encode_app(fun_bo873159128a_bool, 
64.41/64.54	           app_encode_fun(bool, fun_Ho287446294a_bool), 
64.41/64.54	           hAPP_b704538998a_bool, cOMBK_329760839iple_a), fFalse),
64.41/64.54	    inference('demod', [status(thm)], ['11', '12'])).
64.41/64.54	tff(zf_stmt_1285, axiom,
64.41/64.54	  (![P:bool,Q:hoare_1544627872iple_a]:
64.41/64.54	     (app_encode_app(hoare_1544627872iple_a,bool,
64.41/64.54	                     app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                    app_encode_fun(hoare_1544627872iple_a,
64.41/64.54	                                                   bool),
64.41/64.54	                                    hAPP_H2006434664a_bool,
64.41/64.54	                                    app_encode_app(bool,
64.41/64.54	                                                   fun_Ho287446294a_bool,
64.41/64.54	                                                   app_encode_app(fun_bo873159128a_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  bool,
64.41/64.54	                                                                  fun_Ho287446294a_bool),
64.41/64.54	                                                                  hAPP_b704538998a_bool,
64.41/64.54	                                                                  cOMBK_329760839iple_a),
64.41/64.54	                                                   P)),
64.41/64.54	                     Q) =
64.41/64.54	      P))).
64.41/64.54	tff('14', plain,
64.41/64.54	    ![X2066 : bool, X2067 : hoare_1544627872iple_a]:
64.41/64.54	      app_encode_app(hoare_1544627872iple_a, bool, 
64.41/64.54	        app_encode_app(fun_Ho287446294a_bool, 
64.41/64.54	          app_encode_fun(hoare_1544627872iple_a, bool), 
64.41/64.54	          hAPP_H2006434664a_bool, 
64.41/64.54	          app_encode_app(bool, fun_Ho287446294a_bool, 
64.41/64.54	            app_encode_app(fun_bo873159128a_bool, 
64.41/64.54	              app_encode_fun(bool, fun_Ho287446294a_bool), 
64.41/64.54	              hAPP_b704538998a_bool, cOMBK_329760839iple_a), X2066)), X2067)
64.41/64.54	       = X2066,
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_1285])).
64.41/64.54	tff('15', plain,
64.41/64.54	    ![X0 : hoare_1544627872iple_a]:
64.41/64.54	      app_encode_app(hoare_1544627872iple_a, bool, 
64.41/64.54	        app_encode_app(fun_Ho287446294a_bool, 
64.41/64.54	          app_encode_fun(hoare_1544627872iple_a, bool), 
64.41/64.54	          hAPP_H2006434664a_bool, bot_bo1766443648a_bool), X0)
64.41/64.54	       = fFalse,
64.41/64.54	    inference('sup+', [status(thm)], ['13', '14'])).
64.41/64.54	tff('16', plain,
64.41/64.54	    (app_encode_app(bool, $o, hBOOL, fFalse)
64.41/64.54	     | ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
64.41/64.54	    inference('demod', [status(thm)], ['10', '15'])).
64.41/64.54	tff('17', plain, ~ app_encode_app(bool, $o, hBOOL, bot_bot_bool),
64.41/64.54	    inference('clc', [status(thm)], ['16', '2'])).
64.41/64.54	tff('18', plain, (~ $true | ~ zip_tseitin3(fTrue)),
64.41/64.54	    inference('sup-', [status(thm)], ['9', '17'])).
64.41/64.54	tff('19', plain, ~ zip_tseitin3(fTrue),
64.41/64.54	    inference('simplify', [status(thm)], ['18'])).
64.41/64.54	tff('20', plain,
64.41/64.54	    ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fFalse | X1 = fFalse),
64.41/64.54	    inference('sup+', [status(thm)], ['1', '1'])).
64.41/64.54	tff(zf_stmt_550, axiom,
64.41/64.54	  (![Ga:fun_Ho287446294a_bool,Ca:com,Q_1:fun_a_fun_state_bool,
64.41/64.54	     Pa:fun_a_fun_state_bool]:
64.41/64.54	     ((![Z_7:x_a,S_2:state]:
64.41/64.54	         (app_encode_app(bool,$o,hBOOL,
64.41/64.54	                         app_encode_app(state,bool,
64.41/64.54	                                        app_encode_app(fun_state_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       state,bool),
64.41/64.54	                                                       hAPP_state_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       x_a,fun_state_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       x_a,fun_state_bool),
64.41/64.54	                                                       hAPP_a2036067514e_bool,
64.41/64.54	                                                       Pa),Z_7)),
64.41/64.54	                                        S_2)) =>
64.41/64.54	          app_encode_app(bool,$o,hBOOL,
64.41/64.54	                         app_encode_app(fun_Ho287446294a_bool,bool,
64.41/64.54	                                        app_encode_app(fun_fu1441721944l_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_Ho287446294a_bool,
64.41/64.54	                                                       bool),
64.41/64.54	                                                       hAPP_f2063540982l_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_Ho287446294a_bool,
64.41/64.54	                                                       fun_fu1441721944l_bool,
64.41/64.54	                                                       hoare_1546678894rivs_a,
64.41/64.54	                                                       Ga)),
64.41/64.54	                                        app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                       fun_Ho287446294a_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_fu410471825a_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_Ho287446294a_bool,
64.41/64.54	                                                       fun_Ho287446294a_bool),
64.41/64.54	                                                       hAPP_f909437487a_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       hoare_1544627872iple_a,
64.41/64.54	                                                       fun_fu410471825a_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_Ho611385006a_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       hoare_1544627872iple_a,
64.41/64.54	                                                       fun_fu410471825a_bool),
64.41/64.54	                                                       hAPP_H762155206a_bool,
64.41/64.54	                                                       insert1051021594iple_a),
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       hoare_1544627872iple_a,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       com,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       hoare_1544627872iple_a),
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       com,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       hoare_1544627872iple_a)),
64.41/64.54	                                                       hoare_196563068iple_a,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_state_bool,
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_fu281355805e_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_state_bool,
64.41/64.54	                                                       fun_a_fun_state_bool),
64.41/64.54	                                                       hAPP_f762886889e_bool,
64.41/64.54	                                                       cOMBK_1458035955bool_a),
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       state,fun_state_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_st1506752259e_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       state,fun_state_bool),
64.41/64.54	                                                       hAPP_s1806633685e_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_st1506752259e_bool,
64.41/64.54	                                                       fun_st1506752259e_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_fu402792811e_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_st1506752259e_bool,
64.41/64.54	                                                       fun_st1506752259e_bool),
64.41/64.54	                                                       hAPP_f817621513e_bool,
64.41/64.54	                                                       cOMBC_2027030106e_bool),
64.41/64.54	                                                       fequal_state)),S_2))),
64.41/64.54	                                                       Ca),
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_state_bool,
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_fu281355805e_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       fun_state_bool,
64.41/64.54	                                                       fun_a_fun_state_bool),
64.41/64.54	                                                       hAPP_f762886889e_bool,
64.41/64.54	                                                       cOMBK_1458035955bool_a),
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       x_a,fun_state_bool,
64.41/64.54	                                                       app_encode_app(
64.41/64.54	                                                       fun_a_fun_state_bool,
64.41/64.54	                                                       app_encode_fun(
64.41/64.54	                                                       x_a,fun_state_bool),
64.41/64.54	                                                       hAPP_a2036067514e_bool,
64.41/64.54	                                                       Q_1),Z_7))))),
64.41/64.54	                                                       bot_bo1766443648a_bool))))) =>
64.41/64.54	      app_encode_app(bool,$o,hBOOL,
64.41/64.54	                     app_encode_app(fun_Ho287446294a_bool,bool,
64.41/64.54	                                    app_encode_app(fun_fu1441721944l_bool,
64.41/64.54	                                                   app_encode_fun(fun_Ho287446294a_bool,
64.41/64.54	                                                                  bool),
64.41/64.54	                                                   hAPP_f2063540982l_bool,
64.41/64.54	                                                   app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                                  fun_fu1441721944l_bool,
64.41/64.54	                                                                  hoare_1546678894rivs_a,
64.41/64.54	                                                                  Ga)),
64.41/64.54	                                    app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                   fun_Ho287446294a_bool,
64.41/64.54	                                                   app_encode_app(fun_fu410471825a_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  fun_Ho287446294a_bool,
64.41/64.54	                                                                  fun_Ho287446294a_bool),
64.41/64.54	                                                                  hAPP_f909437487a_bool,
64.41/64.54	                                                                  app_encode_app(
64.41/64.54	                                                                  hoare_1544627872iple_a,
64.41/64.54	                                                                  fun_fu410471825a_bool,
64.41/64.54	                                                                  app_encode_app(
64.41/64.54	                                                                  fun_Ho611385006a_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  hoare_1544627872iple_a,
64.41/64.54	                                                                  fun_fu410471825a_bool),
64.41/64.54	                                                                  hAPP_H762155206a_bool,
64.41/64.54	                                                                  insert1051021594iple_a),
64.41/64.54	                                                                  app_encode_app(
64.41/64.54	                                                                  fun_a_fun_state_bool,
64.41/64.54	                                                                  hoare_1544627872iple_a,
64.41/64.54	                                                                  app_encode_app(
64.41/64.54	                                                                  com,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  fun_a_fun_state_bool,
64.41/64.54	                                                                  hoare_1544627872iple_a),
64.41/64.54	                                                                  app_encode_app(
64.41/64.54	                                                                  fun_a_fun_state_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  com,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  fun_a_fun_state_bool,
64.41/64.54	                                                                  hoare_1544627872iple_a)),
64.41/64.54	                                                                  hoare_196563068iple_a,
64.41/64.54	                                                                  Pa),Ca),Q_1))),
64.41/64.54	                                                   bot_bo1766443648a_bool)))))).
64.41/64.54	tff('21', plain,
64.41/64.54	    ![X42 : fun_Ho287446294a_bool, X43 : fun_a_fun_state_bool, X44 : com, 
64.41/64.54	      X45 : fun_a_fun_state_bool]:
64.41/64.54	      (app_encode_app(bool, $o, hBOOL, 
64.41/64.54	         app_encode_app(fun_Ho287446294a_bool, bool, 
64.41/64.54	           app_encode_app(fun_fu1441721944l_bool, 
64.41/64.54	             app_encode_fun(fun_Ho287446294a_bool, bool), 
64.41/64.54	             hAPP_f2063540982l_bool, 
64.41/64.54	             app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
64.41/64.54	               hoare_1546678894rivs_a, X42)), 
64.41/64.54	           app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	             app_encode_app(fun_fu410471825a_bool, 
64.41/64.54	               app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
64.41/64.54	               hAPP_f909437487a_bool, 
64.41/64.54	               app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
64.41/64.54	                 app_encode_app(fun_Ho611385006a_bool, 
64.41/64.54	                   app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                     fun_fu410471825a_bool), hAPP_H762155206a_bool, 
64.41/64.54	                   insert1051021594iple_a), 
64.41/64.54	                 app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                   hoare_1544627872iple_a, 
64.41/64.54	                   app_encode_app(com, 
64.41/64.54	                     app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                       hoare_1544627872iple_a), 
64.41/64.54	                     app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                       app_encode_fun(com, 
64.41/64.54	                         app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                           hoare_1544627872iple_a)), hoare_196563068iple_a, 
64.41/64.54	                       X43), X44), X45))), bot_bo1766443648a_bool)))
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, 
64.41/64.54	           app_encode_app(state, bool, 
64.41/64.54	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
64.41/64.54	               hAPP_state_bool, 
64.41/64.54	               app_encode_app(x_a, fun_state_bool, 
64.41/64.54	                 app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                   app_encode_fun(x_a, fun_state_bool), 
64.41/64.54	                   hAPP_a2036067514e_bool, X43), sk_Z_7(X43, X45, X44, X42))), 
64.41/64.54	             sk_S_2(X43, X45, X44, X42)))),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_550])).
64.41/64.54	tff('22', plain,
64.41/64.54	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
64.41/64.54	      X3 : fun_Ho287446294a_bool, X4 : bool]:
64.41/64.54	      (app_encode_app(bool, $o, hBOOL, fFalse)
64.41/64.54	       | X4 = fFalse
64.41/64.54	       | X4
64.41/64.54	          = app_encode_app(fun_Ho287446294a_bool, bool, 
64.41/64.54	              app_encode_app(fun_fu1441721944l_bool, 
64.41/64.54	                app_encode_fun(fun_Ho287446294a_bool, bool), 
64.41/64.54	                hAPP_f2063540982l_bool, 
64.41/64.54	                app_encode_app(fun_Ho287446294a_bool, 
64.41/64.54	                  fun_fu1441721944l_bool, hoare_1546678894rivs_a, X3)), 
64.41/64.54	              app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	                app_encode_app(fun_fu410471825a_bool, 
64.41/64.54	                  app_encode_fun(fun_Ho287446294a_bool, 
64.41/64.54	                    fun_Ho287446294a_bool), hAPP_f909437487a_bool, 
64.41/64.54	                  app_encode_app(hoare_1544627872iple_a, 
64.41/64.54	                    fun_fu410471825a_bool, 
64.41/64.54	                    app_encode_app(fun_Ho611385006a_bool, 
64.41/64.54	                      app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                        fun_fu410471825a_bool), hAPP_H762155206a_bool, 
64.41/64.54	                      insert1051021594iple_a), 
64.41/64.54	                    app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                      hoare_1544627872iple_a, 
64.41/64.54	                      app_encode_app(com, 
64.41/64.54	                        app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                          hoare_1544627872iple_a), 
64.41/64.54	                        app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                          app_encode_fun(com, 
64.41/64.54	                            app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                              hoare_1544627872iple_a)), 
64.41/64.54	                          hoare_196563068iple_a, X2), X1), X0))), 
64.41/64.54	                bot_bo1766443648a_bool))
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, 
64.41/64.54	           app_encode_app(state, bool, 
64.41/64.54	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
64.41/64.54	               hAPP_state_bool, 
64.41/64.54	               app_encode_app(x_a, fun_state_bool, 
64.41/64.54	                 app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                   app_encode_fun(x_a, fun_state_bool), 
64.41/64.54	                   hAPP_a2036067514e_bool, X2), sk_Z_7(X2, X0, X1, X3))), 
64.41/64.54	             sk_S_2(X2, X0, X1, X3)))),
64.41/64.54	    inference('sup+', [status(thm)], ['20', '21'])).
64.41/64.54	tff('23', plain,
64.41/64.54	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = fFalse),
64.41/64.54	    inference('sup+', [status(thm)], ['1', '6'])).
64.41/64.54	tff('24', plain, (~ $true | bot_bot_bool = fFalse),
64.41/64.54	    inference('sup-', [status(thm)], ['23', '17'])).
64.41/64.54	tff('25', plain, bot_bot_bool = fFalse,
64.41/64.54	    inference('simplify', [status(thm)], ['24'])).
64.41/64.54	tff(zf_stmt_567, axiom,
64.41/64.54	  (![A_1:hoare_1544627872iple_a]:
64.41/64.54	     (app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
64.41/64.54	                     collec445968053iple_a,
64.41/64.54	                     app_encode_app(hoare_1544627872iple_a,
64.41/64.54	                                    fun_Ho287446294a_bool,
64.41/64.54	                                    app_encode_app(fun_Ho965678415a_bool,
64.41/64.54	                                                   app_encode_fun(hoare_1544627872iple_a,
64.41/64.54	                                                                  fun_Ho287446294a_bool),
64.41/64.54	                                                   hAPP_H1472549281a_bool,
64.41/64.54	                                                   fequal1057774495iple_a),
64.41/64.54	                                    A_1)) =
64.41/64.54	      app_encode_app(fun_Ho287446294a_bool,fun_Ho287446294a_bool,
64.41/64.54	                     app_encode_app(fun_fu410471825a_bool,
64.41/64.54	                                    app_encode_fun(fun_Ho287446294a_bool,
64.41/64.54	                                                   fun_Ho287446294a_bool),
64.41/64.54	                                    hAPP_f909437487a_bool,
64.41/64.54	                                    app_encode_app(hoare_1544627872iple_a,
64.41/64.54	                                                   fun_fu410471825a_bool,
64.41/64.54	                                                   app_encode_app(fun_Ho611385006a_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  hoare_1544627872iple_a,
64.41/64.54	                                                                  fun_fu410471825a_bool),
64.41/64.54	                                                                  hAPP_H762155206a_bool,
64.41/64.54	                                                                  insert1051021594iple_a),
64.41/64.54	                                                   A_1)),
64.41/64.54	                     bot_bo1766443648a_bool)))).
64.41/64.54	tff('26', plain,
64.41/64.54	    ![X105 : hoare_1544627872iple_a]:
64.41/64.54	      app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	        collec445968053iple_a, 
64.41/64.54	        app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
64.41/64.54	          app_encode_app(fun_Ho965678415a_bool, 
64.41/64.54	            app_encode_fun(hoare_1544627872iple_a, fun_Ho287446294a_bool), 
64.41/64.54	            hAPP_H1472549281a_bool, fequal1057774495iple_a), X105))
64.41/64.54	       = app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	           app_encode_app(fun_fu410471825a_bool, 
64.41/64.54	             app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
64.41/64.54	             hAPP_f909437487a_bool, 
64.41/64.54	             app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
64.41/64.54	               app_encode_app(fun_Ho611385006a_bool, 
64.41/64.54	                 app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                   fun_fu410471825a_bool), hAPP_H762155206a_bool, 
64.41/64.54	                 insert1051021594iple_a), X105)), bot_bo1766443648a_bool),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_567])).
64.41/64.54	tff('27', plain,
64.41/64.54	    ![X105 : hoare_1544627872iple_a]:
64.41/64.54	      app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
64.41/64.54	        app_encode_app(fun_Ho965678415a_bool, 
64.41/64.54	          app_encode_fun(hoare_1544627872iple_a, fun_Ho287446294a_bool), 
64.41/64.54	          hAPP_H1472549281a_bool, fequal1057774495iple_a), X105)
64.41/64.54	       = app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	           app_encode_app(fun_fu410471825a_bool, 
64.41/64.54	             app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
64.41/64.54	             hAPP_f909437487a_bool, 
64.41/64.54	             app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
64.41/64.54	               app_encode_app(fun_Ho611385006a_bool, 
64.41/64.54	                 app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                   fun_fu410471825a_bool), hAPP_H762155206a_bool, 
64.41/64.54	                 insert1051021594iple_a), X105)), bot_bo1766443648a_bool),
64.41/64.54	    inference('demod', [status(thm)], ['26', '12'])).
64.41/64.54	tff('28', plain,
64.41/64.54	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
64.41/64.54	      X3 : fun_Ho287446294a_bool, X4 : bool]:
64.41/64.54	      (app_encode_app(bool, $o, hBOOL, bot_bot_bool)
64.41/64.54	       | X4 = bot_bot_bool
64.41/64.54	       | X4
64.41/64.54	          = app_encode_app(fun_Ho287446294a_bool, bool, 
64.41/64.54	              app_encode_app(fun_fu1441721944l_bool, 
64.41/64.54	                app_encode_fun(fun_Ho287446294a_bool, bool), 
64.41/64.54	                hAPP_f2063540982l_bool, 
64.41/64.54	                app_encode_app(fun_Ho287446294a_bool, 
64.41/64.54	                  fun_fu1441721944l_bool, hoare_1546678894rivs_a, X3)), 
64.41/64.54	              app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
64.41/64.54	                app_encode_app(fun_Ho965678415a_bool, 
64.41/64.54	                  app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                    fun_Ho287446294a_bool), hAPP_H1472549281a_bool, 
64.41/64.54	                  fequal1057774495iple_a), 
64.41/64.54	                app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
64.41/64.54	                  app_encode_app(com, 
64.41/64.54	                    app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                      hoare_1544627872iple_a), 
64.41/64.54	                    app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                      app_encode_fun(com, 
64.41/64.54	                        app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                          hoare_1544627872iple_a)), hoare_196563068iple_a, 
64.41/64.54	                      X2), X1), X0)))
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, 
64.41/64.54	           app_encode_app(state, bool, 
64.41/64.54	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
64.41/64.54	               hAPP_state_bool, 
64.41/64.54	               app_encode_app(x_a, fun_state_bool, 
64.41/64.54	                 app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                   app_encode_fun(x_a, fun_state_bool), 
64.41/64.54	                   hAPP_a2036067514e_bool, X2), sk_Z_7(X2, X0, X1, X3))), 
64.41/64.54	             sk_S_2(X2, X0, X1, X3)))),
64.41/64.54	    inference('demod', [status(thm)], ['22', '25', '25', '27'])).
64.41/64.54	tff('29', plain,
64.41/64.54	    ![X0 : fun_a_fun_state_bool, X1 : com, X2 : fun_a_fun_state_bool, 
64.41/64.54	      X3 : fun_Ho287446294a_bool, X4 : bool]:
64.41/64.54	      (app_encode_app(bool, $o, hBOOL, 
64.41/64.54	         app_encode_app(state, bool, 
64.41/64.54	           app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
64.41/64.54	             hAPP_state_bool, 
64.41/64.54	             app_encode_app(x_a, fun_state_bool, 
64.41/64.54	               app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                 app_encode_fun(x_a, fun_state_bool), 
64.41/64.54	                 hAPP_a2036067514e_bool, X2), sk_Z_7(X2, X0, X1, X3))), 
64.41/64.54	           sk_S_2(X2, X0, X1, X3)))
64.41/64.54	       | X4
64.41/64.54	          = app_encode_app(fun_Ho287446294a_bool, bool, 
64.41/64.54	              app_encode_app(fun_fu1441721944l_bool, 
64.41/64.54	                app_encode_fun(fun_Ho287446294a_bool, bool), 
64.41/64.54	                hAPP_f2063540982l_bool, 
64.41/64.54	                app_encode_app(fun_Ho287446294a_bool, 
64.41/64.54	                  fun_fu1441721944l_bool, hoare_1546678894rivs_a, X3)), 
64.41/64.54	              app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
64.41/64.54	                app_encode_app(fun_Ho965678415a_bool, 
64.41/64.54	                  app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                    fun_Ho287446294a_bool), hAPP_H1472549281a_bool, 
64.41/64.54	                  fequal1057774495iple_a), 
64.41/64.54	                app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
64.41/64.54	                  app_encode_app(com, 
64.41/64.54	                    app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                      hoare_1544627872iple_a), 
64.41/64.54	                    app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                      app_encode_fun(com, 
64.41/64.54	                        app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                          hoare_1544627872iple_a)), hoare_196563068iple_a, 
64.41/64.54	                      X2), X1), X0)))
64.41/64.54	       | X4 = bot_bot_bool),
64.41/64.54	    inference('clc', [status(thm)], ['28', '17'])).
64.41/64.54	tff(zf_stmt_1341, conjecture,
64.41/64.54	  (app_encode_app(bool,$o,hBOOL,
64.41/64.54	                  app_encode_app(fun_Ho287446294a_bool,bool,
64.41/64.54	                                 app_encode_app(fun_fu1441721944l_bool,
64.41/64.54	                                                app_encode_fun(fun_Ho287446294a_bool,
64.41/64.54	                                                               bool),
64.41/64.54	                                                hAPP_f2063540982l_bool,
64.41/64.54	                                                app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                               fun_fu1441721944l_bool,
64.41/64.54	                                                               hoare_1546678894rivs_a,
64.41/64.54	                                                               g)),
64.41/64.54	                                 app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                fun_Ho287446294a_bool,
64.41/64.54	                                                app_encode_app(fun_fu410471825a_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_Ho287446294a_bool,
64.41/64.54	                                                               fun_Ho287446294a_bool),
64.41/64.54	                                                               hAPP_f909437487a_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               hoare_1544627872iple_a,
64.41/64.54	                                                               fun_fu410471825a_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_Ho611385006a_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               hoare_1544627872iple_a,
64.41/64.54	                                                               fun_fu410471825a_bool),
64.41/64.54	                                                               hAPP_H762155206a_bool,
64.41/64.54	                                                               insert1051021594iple_a),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               hoare_1544627872iple_a,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               com,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               hoare_1544627872iple_a),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               com,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               hoare_1544627872iple_a)),
64.41/64.54	                                                               hoare_196563068iple_a,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu281355805e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               fun_a_fun_state_bool),
64.41/64.54	                                                               hAPP_f762886889e_bool,
64.41/64.54	                                                               cOMBK_1458035955bool_a),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               bool,
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_bo1936561970e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               bool,
64.41/64.54	                                                               fun_state_bool),
64.41/64.54	                                                               hAPP_b2019457360e_bool,
64.41/64.54	                                                               cOMBK_bool_state),
64.41/64.54	                                                               fFalse))),c),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu281355805e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               fun_a_fun_state_bool),
64.41/64.54	                                                               hAPP_f762886889e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_a_2117018159e_bool,
64.41/64.54	                                                               fun_fu281355805e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu734682033e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_a_2117018159e_bool,
64.41/64.54	                                                               fun_fu281355805e_bool),
64.41/64.54	                                                               hAPP_f1261923407e_bool,
64.41/64.54	                                                               cOMBC_892787026e_bool),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_a_1632297036l_bool,
64.41/64.54	                                                               fun_a_2117018159e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu2008829792e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_a_1632297036l_bool,
64.41/64.54	                                                               fun_a_2117018159e_bool),
64.41/64.54	                                                               hAPP_f963367678e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu1047394976e_bool,
64.41/64.54	                                                               fun_fu2008829792e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu1631777789e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_fu1047394976e_bool,
64.41/64.54	                                                               fun_fu2008829792e_bool),
64.41/64.54	                                                               hAPP_f375255701e_bool,
64.41/64.54	                                                               cOMBB_145932198bool_a),
64.41/64.54	                                                               cOMBS_1378840469l_bool)),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               fun_a_1632297036l_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu2118559873l_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_a_fun_state_bool,
64.41/64.54	                                                               fun_a_1632297036l_bool),
64.41/64.54	                                                               hAPP_f1509969235l_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu1658206819l_bool,
64.41/64.54	                                                               fun_fu2118559873l_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu1340893257l_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_fu1658206819l_bool,
64.41/64.54	                                                               fun_fu2118559873l_bool),
64.41/64.54	                                                               hAPP_f1178339559l_bool,
64.41/64.54	                                                               cOMBB_1355796797bool_a),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_bo1549164019l_bool,
64.41/64.54	                                                               fun_fu1658206819l_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu1873708859l_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_bo1549164019l_bool,
64.41/64.54	                                                               fun_fu1658206819l_bool),
64.41/64.54	                                                               hAPP_f1561913689l_bool,
64.41/64.54	                                                               cOMBB_188601460_state),
64.41/64.54	                                                               fconj))),p)))),
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu373216837e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_state_bool,
64.41/64.54	                                                               fun_state_bool),
64.41/64.54	                                                               hAPP_f1759915619e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_bool_bool,
64.41/64.54	                                                               fun_fu373216837e_bool,
64.41/64.54	                                                               app_encode_app(
64.41/64.54	                                                               fun_fu88048803e_bool,
64.41/64.54	                                                               app_encode_fun(
64.41/64.54	                                                               fun_bool_bool,
64.41/64.54	                                                               fun_fu373216837e_bool),
64.41/64.54	                                                               hAPP_f2073279419e_bool,
64.41/64.54	                                                               cOMBB_160679318_state),
64.41/64.54	                                                               fNot)),b))))),
64.41/64.54	                                                bot_bo1766443648a_bool))))).
64.41/64.54	tff(zf_stmt_1, negated_conjecture,
64.41/64.54	  (~
64.41/64.54	    app_encode_app(bool,$o,hBOOL,
64.41/64.54	                   app_encode_app(fun_Ho287446294a_bool,bool,
64.41/64.54	                                  app_encode_app(fun_fu1441721944l_bool,
64.41/64.54	                                                 app_encode_fun(fun_Ho287446294a_bool,
64.41/64.54	                                                                bool),
64.41/64.54	                                                 hAPP_f2063540982l_bool,
64.41/64.54	                                                 app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                                fun_fu1441721944l_bool,
64.41/64.54	                                                                hoare_1546678894rivs_a,
64.41/64.54	                                                                g)),
64.41/64.54	                                  app_encode_app(fun_Ho287446294a_bool,
64.41/64.54	                                                 fun_Ho287446294a_bool,
64.41/64.54	                                                 app_encode_app(fun_fu410471825a_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_Ho287446294a_bool,
64.41/64.54	                                                                fun_Ho287446294a_bool),
64.41/64.54	                                                                hAPP_f909437487a_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                hoare_1544627872iple_a,
64.41/64.54	                                                                fun_fu410471825a_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_Ho611385006a_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                hoare_1544627872iple_a,
64.41/64.54	                                                                fun_fu410471825a_bool),
64.41/64.54	                                                                hAPP_H762155206a_bool,
64.41/64.54	                                                                insert1051021594iple_a),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                hoare_1544627872iple_a,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                com,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                hoare_1544627872iple_a),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                com,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                hoare_1544627872iple_a)),
64.41/64.54	                                                                hoare_196563068iple_a,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu281355805e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                fun_a_fun_state_bool),
64.41/64.54	                                                                hAPP_f762886889e_bool,
64.41/64.54	                                                                cOMBK_1458035955bool_a),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                bool,
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_bo1936561970e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                bool,
64.41/64.54	                                                                fun_state_bool),
64.41/64.54	                                                                hAPP_b2019457360e_bool,
64.41/64.54	                                                                cOMBK_bool_state),
64.41/64.54	                                                                fFalse))),c),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu281355805e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                fun_a_fun_state_bool),
64.41/64.54	                                                                hAPP_f762886889e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_a_2117018159e_bool,
64.41/64.54	                                                                fun_fu281355805e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu734682033e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_a_2117018159e_bool,
64.41/64.54	                                                                fun_fu281355805e_bool),
64.41/64.54	                                                                hAPP_f1261923407e_bool,
64.41/64.54	                                                                cOMBC_892787026e_bool),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_a_1632297036l_bool,
64.41/64.54	                                                                fun_a_2117018159e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu2008829792e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_a_1632297036l_bool,
64.41/64.54	                                                                fun_a_2117018159e_bool),
64.41/64.54	                                                                hAPP_f963367678e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu1047394976e_bool,
64.41/64.54	                                                                fun_fu2008829792e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu1631777789e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_fu1047394976e_bool,
64.41/64.54	                                                                fun_fu2008829792e_bool),
64.41/64.54	                                                                hAPP_f375255701e_bool,
64.41/64.54	                                                                cOMBB_145932198bool_a),
64.41/64.54	                                                                cOMBS_1378840469l_bool)),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                fun_a_1632297036l_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu2118559873l_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_a_fun_state_bool,
64.41/64.54	                                                                fun_a_1632297036l_bool),
64.41/64.54	                                                                hAPP_f1509969235l_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu1658206819l_bool,
64.41/64.54	                                                                fun_fu2118559873l_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu1340893257l_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_fu1658206819l_bool,
64.41/64.54	                                                                fun_fu2118559873l_bool),
64.41/64.54	                                                                hAPP_f1178339559l_bool,
64.41/64.54	                                                                cOMBB_1355796797bool_a),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_bo1549164019l_bool,
64.41/64.54	                                                                fun_fu1658206819l_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu1873708859l_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_bo1549164019l_bool,
64.41/64.54	                                                                fun_fu1658206819l_bool),
64.41/64.54	                                                                hAPP_f1561913689l_bool,
64.41/64.54	                                                                cOMBB_188601460_state),
64.41/64.54	                                                                fconj))),p)))),
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu373216837e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_state_bool,
64.41/64.54	                                                                fun_state_bool),
64.41/64.54	                                                                hAPP_f1759915619e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_bool_bool,
64.41/64.54	                                                                fun_fu373216837e_bool,
64.41/64.54	                                                                app_encode_app(
64.41/64.54	                                                                fun_fu88048803e_bool,
64.41/64.54	                                                                app_encode_fun(
64.41/64.54	                                                                fun_bool_bool,
64.41/64.54	                                                                fun_fu373216837e_bool),
64.41/64.54	                                                                hAPP_f2073279419e_bool,
64.41/64.54	                                                                cOMBB_160679318_state),
64.41/64.54	                                                                fNot)),b))))),
64.41/64.54	                                                 bot_bo1766443648a_bool))))).
64.41/64.54	tff('30', plain,
64.41/64.54	    ~ app_encode_app(bool, $o, hBOOL, 
64.41/64.54	        app_encode_app(fun_Ho287446294a_bool, bool, 
64.41/64.54	          app_encode_app(fun_fu1441721944l_bool, 
64.41/64.54	            app_encode_fun(fun_Ho287446294a_bool, bool), 
64.41/64.54	            hAPP_f2063540982l_bool, 
64.41/64.54	            app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
64.41/64.54	              hoare_1546678894rivs_a, g)), 
64.41/64.54	          app_encode_app(fun_Ho287446294a_bool, fun_Ho287446294a_bool, 
64.41/64.54	            app_encode_app(fun_fu410471825a_bool, 
64.41/64.54	              app_encode_fun(fun_Ho287446294a_bool, fun_Ho287446294a_bool), 
64.41/64.54	              hAPP_f909437487a_bool, 
64.41/64.54	              app_encode_app(hoare_1544627872iple_a, fun_fu410471825a_bool, 
64.41/64.54	                app_encode_app(fun_Ho611385006a_bool, 
64.41/64.54	                  app_encode_fun(hoare_1544627872iple_a, 
64.41/64.54	                    fun_fu410471825a_bool), hAPP_H762155206a_bool, 
64.41/64.54	                  insert1051021594iple_a), 
64.41/64.54	                app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
64.41/64.54	                  app_encode_app(com, 
64.41/64.54	                    app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                      hoare_1544627872iple_a), 
64.41/64.54	                    app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                      app_encode_fun(com, 
64.41/64.54	                        app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                          hoare_1544627872iple_a)), hoare_196563068iple_a, 
64.41/64.54	                      app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                        app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                          app_encode_fun(fun_state_bool, 
64.41/64.54	                            fun_a_fun_state_bool), hAPP_f762886889e_bool, 
64.41/64.54	                          cOMBK_1458035955bool_a), 
64.41/64.54	                        app_encode_app(bool, fun_state_bool, 
64.41/64.54	                          app_encode_app(fun_bo1936561970e_bool, 
64.41/64.54	                            app_encode_fun(bool, fun_state_bool), 
64.41/64.54	                            hAPP_b2019457360e_bool, cOMBK_bool_state), 
64.41/64.54	                          fFalse))), c), 
64.41/64.54	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                    app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                      hAPP_f762886889e_bool, 
64.41/64.54	                      app_encode_app(fun_a_2117018159e_bool, 
64.41/64.54	                        fun_fu281355805e_bool, 
64.41/64.54	                        app_encode_app(fun_fu734682033e_bool, 
64.41/64.54	                          app_encode_fun(fun_a_2117018159e_bool, 
64.41/64.54	                            fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
64.41/64.54	                          cOMBC_892787026e_bool), 
64.41/64.54	                        app_encode_app(fun_a_1632297036l_bool, 
64.41/64.54	                          fun_a_2117018159e_bool, 
64.41/64.54	                          app_encode_app(fun_fu2008829792e_bool, 
64.41/64.54	                            app_encode_fun(fun_a_1632297036l_bool, 
64.41/64.54	                              fun_a_2117018159e_bool), 
64.41/64.54	                            hAPP_f963367678e_bool, 
64.41/64.54	                            app_encode_app(fun_fu1047394976e_bool, 
64.41/64.54	                              fun_fu2008829792e_bool, 
64.41/64.54	                              app_encode_app(fun_fu1631777789e_bool, 
64.41/64.54	                                app_encode_fun(fun_fu1047394976e_bool, 
64.41/64.54	                                  fun_fu2008829792e_bool), 
64.41/64.54	                                hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
64.41/64.54	                              cOMBS_1378840469l_bool)), 
64.41/64.54	                          app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                            fun_a_1632297036l_bool, 
64.41/64.54	                            app_encode_app(fun_fu2118559873l_bool, 
64.41/64.54	                              app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                                fun_a_1632297036l_bool), 
64.41/64.54	                              hAPP_f1509969235l_bool, 
64.41/64.54	                              app_encode_app(fun_fu1658206819l_bool, 
64.41/64.54	                                fun_fu2118559873l_bool, 
64.41/64.54	                                app_encode_app(fun_fu1340893257l_bool, 
64.41/64.54	                                  app_encode_fun(fun_fu1658206819l_bool, 
64.41/64.54	                                    fun_fu2118559873l_bool), 
64.41/64.54	                                  hAPP_f1178339559l_bool, 
64.41/64.54	                                  cOMBB_1355796797bool_a), 
64.41/64.54	                                app_encode_app(fun_bo1549164019l_bool, 
64.41/64.54	                                  fun_fu1658206819l_bool, 
64.41/64.54	                                  app_encode_app(fun_fu1873708859l_bool, 
64.41/64.54	                                    app_encode_fun(fun_bo1549164019l_bool, 
64.41/64.54	                                      fun_fu1658206819l_bool), 
64.41/64.54	                                    hAPP_f1561913689l_bool, 
64.41/64.54	                                    cOMBB_188601460_state), fconj))), p)))), 
64.41/64.54	                    app_encode_app(fun_state_bool, fun_state_bool, 
64.41/64.54	                      app_encode_app(fun_fu373216837e_bool, 
64.41/64.54	                        app_encode_fun(fun_state_bool, fun_state_bool), 
64.41/64.54	                        hAPP_f1759915619e_bool, 
64.41/64.54	                        app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
64.41/64.54	                          app_encode_app(fun_fu88048803e_bool, 
64.41/64.54	                            app_encode_fun(fun_bool_bool, 
64.41/64.54	                              fun_fu373216837e_bool), 
64.41/64.54	                            hAPP_f2073279419e_bool, cOMBB_160679318_state), 
64.41/64.54	                          fNot)), b))))), bot_bo1766443648a_bool))),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_1])).
64.41/64.54	tff('31', plain,
64.41/64.54	    ~ app_encode_app(bool, $o, hBOOL, 
64.41/64.54	        app_encode_app(fun_Ho287446294a_bool, bool, 
64.41/64.54	          app_encode_app(fun_fu1441721944l_bool, 
64.41/64.54	            app_encode_fun(fun_Ho287446294a_bool, bool), 
64.41/64.54	            hAPP_f2063540982l_bool, 
64.41/64.54	            app_encode_app(fun_Ho287446294a_bool, fun_fu1441721944l_bool, 
64.41/64.54	              hoare_1546678894rivs_a, g)), 
64.41/64.54	          app_encode_app(hoare_1544627872iple_a, fun_Ho287446294a_bool, 
64.41/64.54	            app_encode_app(fun_Ho965678415a_bool, 
64.41/64.54	              app_encode_fun(hoare_1544627872iple_a, fun_Ho287446294a_bool), 
64.41/64.54	              hAPP_H1472549281a_bool, fequal1057774495iple_a), 
64.41/64.54	            app_encode_app(fun_a_fun_state_bool, hoare_1544627872iple_a, 
64.41/64.54	              app_encode_app(com, 
64.41/64.54	                app_encode_fun(fun_a_fun_state_bool, hoare_1544627872iple_a), 
64.41/64.54	                app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                  app_encode_fun(com, 
64.41/64.54	                    app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                      hoare_1544627872iple_a)), hoare_196563068iple_a, 
64.41/64.54	                  app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                    app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                      app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                      hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
64.41/64.54	                    app_encode_app(bool, fun_state_bool, 
64.41/64.54	                      app_encode_app(fun_bo1936561970e_bool, 
64.41/64.54	                        app_encode_fun(bool, fun_state_bool), 
64.41/64.54	                        hAPP_b2019457360e_bool, cOMBK_bool_state), 
64.41/64.54	                      bot_bot_bool))), c), 
64.41/64.54	              app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                  app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                  hAPP_f762886889e_bool, 
64.41/64.54	                  app_encode_app(fun_a_2117018159e_bool, 
64.41/64.54	                    fun_fu281355805e_bool, 
64.41/64.54	                    app_encode_app(fun_fu734682033e_bool, 
64.41/64.54	                      app_encode_fun(fun_a_2117018159e_bool, 
64.41/64.54	                        fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
64.41/64.54	                      cOMBC_892787026e_bool), 
64.41/64.54	                    app_encode_app(fun_a_1632297036l_bool, 
64.41/64.54	                      fun_a_2117018159e_bool, 
64.41/64.54	                      app_encode_app(fun_fu2008829792e_bool, 
64.41/64.54	                        app_encode_fun(fun_a_1632297036l_bool, 
64.41/64.54	                          fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
64.41/64.54	                        app_encode_app(fun_fu1047394976e_bool, 
64.41/64.54	                          fun_fu2008829792e_bool, 
64.41/64.54	                          app_encode_app(fun_fu1631777789e_bool, 
64.41/64.54	                            app_encode_fun(fun_fu1047394976e_bool, 
64.41/64.54	                              fun_fu2008829792e_bool), 
64.41/64.54	                            hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
64.41/64.54	                          cOMBS_1378840469l_bool)), 
64.41/64.54	                      app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                        fun_a_1632297036l_bool, 
64.41/64.54	                        app_encode_app(fun_fu2118559873l_bool, 
64.41/64.54	                          app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                            fun_a_1632297036l_bool), hAPP_f1509969235l_bool, 
64.41/64.54	                          app_encode_app(fun_fu1658206819l_bool, 
64.41/64.54	                            fun_fu2118559873l_bool, 
64.41/64.54	                            app_encode_app(fun_fu1340893257l_bool, 
64.41/64.54	                              app_encode_fun(fun_fu1658206819l_bool, 
64.41/64.54	                                fun_fu2118559873l_bool), 
64.41/64.54	                              hAPP_f1178339559l_bool, cOMBB_1355796797bool_a), 
64.41/64.54	                            app_encode_app(fun_bo1549164019l_bool, 
64.41/64.54	                              fun_fu1658206819l_bool, 
64.41/64.54	                              app_encode_app(fun_fu1873708859l_bool, 
64.41/64.54	                                app_encode_fun(fun_bo1549164019l_bool, 
64.41/64.54	                                  fun_fu1658206819l_bool), 
64.41/64.54	                                hAPP_f1561913689l_bool, 
64.41/64.54	                                cOMBB_188601460_state), fconj))), p)))), 
64.41/64.54	                app_encode_app(fun_state_bool, fun_state_bool, 
64.41/64.54	                  app_encode_app(fun_fu373216837e_bool, 
64.41/64.54	                    app_encode_fun(fun_state_bool, fun_state_bool), 
64.41/64.54	                    hAPP_f1759915619e_bool, 
64.41/64.54	                    app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
64.41/64.54	                      app_encode_app(fun_fu88048803e_bool, 
64.41/64.54	                        app_encode_fun(fun_bool_bool, fun_fu373216837e_bool), 
64.41/64.54	                        hAPP_f2073279419e_bool, cOMBB_160679318_state), fNot)), 
64.41/64.54	                  b)))))),
64.41/64.54	    inference('demod', [status(thm)], ['30', '25', '27'])).
64.41/64.54	tff('32', plain,
64.41/64.54	    ![X0 : bool]:
64.41/64.54	      (~ app_encode_app(bool, $o, hBOOL, X0)
64.41/64.54	       | X0 = bot_bot_bool
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, 
64.41/64.54	           app_encode_app(state, bool, 
64.41/64.54	             app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
64.41/64.54	               hAPP_state_bool, 
64.41/64.54	               app_encode_app(x_a, fun_state_bool, 
64.41/64.54	                 app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                   app_encode_fun(x_a, fun_state_bool), 
64.41/64.54	                   hAPP_a2036067514e_bool, 
64.41/64.54	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                     app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                       app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                       hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
64.41/64.54	                     app_encode_app(bool, fun_state_bool, 
64.41/64.54	                       app_encode_app(fun_bo1936561970e_bool, 
64.41/64.54	                         app_encode_fun(bool, fun_state_bool), 
64.41/64.54	                         hAPP_b2019457360e_bool, cOMBK_bool_state), 
64.41/64.54	                       bot_bot_bool))), 
64.41/64.54	                 sk_Z_7(
64.41/64.54	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                     app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                       app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                       hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
64.41/64.54	                     app_encode_app(bool, fun_state_bool, 
64.41/64.54	                       app_encode_app(fun_bo1936561970e_bool, 
64.41/64.54	                         app_encode_fun(bool, fun_state_bool), 
64.41/64.54	                         hAPP_b2019457360e_bool, cOMBK_bool_state), 
64.41/64.54	                       bot_bot_bool)), 
64.41/64.54	                   app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                     app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                       app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                       hAPP_f762886889e_bool, 
64.41/64.54	                       app_encode_app(fun_a_2117018159e_bool, 
64.41/64.54	                         fun_fu281355805e_bool, 
64.41/64.54	                         app_encode_app(fun_fu734682033e_bool, 
64.41/64.54	                           app_encode_fun(fun_a_2117018159e_bool, 
64.41/64.54	                             fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
64.41/64.54	                           cOMBC_892787026e_bool), 
64.41/64.54	                         app_encode_app(fun_a_1632297036l_bool, 
64.41/64.54	                           fun_a_2117018159e_bool, 
64.41/64.54	                           app_encode_app(fun_fu2008829792e_bool, 
64.41/64.54	                             app_encode_fun(fun_a_1632297036l_bool, 
64.41/64.54	                               fun_a_2117018159e_bool), 
64.41/64.54	                             hAPP_f963367678e_bool, 
64.41/64.54	                             app_encode_app(fun_fu1047394976e_bool, 
64.41/64.54	                               fun_fu2008829792e_bool, 
64.41/64.54	                               app_encode_app(fun_fu1631777789e_bool, 
64.41/64.54	                                 app_encode_fun(fun_fu1047394976e_bool, 
64.41/64.54	                                   fun_fu2008829792e_bool), 
64.41/64.54	                                 hAPP_f375255701e_bool, 
64.41/64.54	                                 cOMBB_145932198bool_a), 
64.41/64.54	                               cOMBS_1378840469l_bool)), 
64.41/64.54	                           app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                             fun_a_1632297036l_bool, 
64.41/64.54	                             app_encode_app(fun_fu2118559873l_bool, 
64.41/64.54	                               app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                                 fun_a_1632297036l_bool), 
64.41/64.54	                               hAPP_f1509969235l_bool, 
64.41/64.54	                               app_encode_app(fun_fu1658206819l_bool, 
64.41/64.54	                                 fun_fu2118559873l_bool, 
64.41/64.54	                                 app_encode_app(fun_fu1340893257l_bool, 
64.41/64.54	                                   app_encode_fun(fun_fu1658206819l_bool, 
64.41/64.54	                                     fun_fu2118559873l_bool), 
64.41/64.54	                                   hAPP_f1178339559l_bool, 
64.41/64.54	                                   cOMBB_1355796797bool_a), 
64.41/64.54	                                 app_encode_app(fun_bo1549164019l_bool, 
64.41/64.54	                                   fun_fu1658206819l_bool, 
64.41/64.54	                                   app_encode_app(fun_fu1873708859l_bool, 
64.41/64.54	                                     app_encode_fun(fun_bo1549164019l_bool, 
64.41/64.54	                                       fun_fu1658206819l_bool), 
64.41/64.54	                                     hAPP_f1561913689l_bool, 
64.41/64.54	                                     cOMBB_188601460_state), fconj))), p)))), 
64.41/64.54	                     app_encode_app(fun_state_bool, fun_state_bool, 
64.41/64.54	                       app_encode_app(fun_fu373216837e_bool, 
64.41/64.54	                         app_encode_fun(fun_state_bool, fun_state_bool), 
64.41/64.54	                         hAPP_f1759915619e_bool, 
64.41/64.54	                         app_encode_app(fun_bool_bool, 
64.41/64.54	                           fun_fu373216837e_bool, 
64.41/64.54	                           app_encode_app(fun_fu88048803e_bool, 
64.41/64.54	                             app_encode_fun(fun_bool_bool, 
64.41/64.54	                               fun_fu373216837e_bool), 
64.41/64.54	                             hAPP_f2073279419e_bool, cOMBB_160679318_state), 
64.41/64.54	                           fNot)), b)), c, g))), 
64.41/64.54	             sk_S_2(
64.41/64.54	               app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                 app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                   app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                   hAPP_f762886889e_bool, cOMBK_1458035955bool_a), 
64.41/64.54	                 app_encode_app(bool, fun_state_bool, 
64.41/64.54	                   app_encode_app(fun_bo1936561970e_bool, 
64.41/64.54	                     app_encode_fun(bool, fun_state_bool), 
64.41/64.54	                     hAPP_b2019457360e_bool, cOMBK_bool_state), bot_bot_bool)), 
64.41/64.54	               app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	                 app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	                   app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	                   hAPP_f762886889e_bool, 
64.41/64.54	                   app_encode_app(fun_a_2117018159e_bool, 
64.41/64.54	                     fun_fu281355805e_bool, 
64.41/64.54	                     app_encode_app(fun_fu734682033e_bool, 
64.41/64.54	                       app_encode_fun(fun_a_2117018159e_bool, 
64.41/64.54	                         fun_fu281355805e_bool), hAPP_f1261923407e_bool, 
64.41/64.54	                       cOMBC_892787026e_bool), 
64.41/64.54	                     app_encode_app(fun_a_1632297036l_bool, 
64.41/64.54	                       fun_a_2117018159e_bool, 
64.41/64.54	                       app_encode_app(fun_fu2008829792e_bool, 
64.41/64.54	                         app_encode_fun(fun_a_1632297036l_bool, 
64.41/64.54	                           fun_a_2117018159e_bool), hAPP_f963367678e_bool, 
64.41/64.54	                         app_encode_app(fun_fu1047394976e_bool, 
64.41/64.54	                           fun_fu2008829792e_bool, 
64.41/64.54	                           app_encode_app(fun_fu1631777789e_bool, 
64.41/64.54	                             app_encode_fun(fun_fu1047394976e_bool, 
64.41/64.54	                               fun_fu2008829792e_bool), 
64.41/64.54	                             hAPP_f375255701e_bool, cOMBB_145932198bool_a), 
64.41/64.54	                           cOMBS_1378840469l_bool)), 
64.41/64.54	                       app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	                         fun_a_1632297036l_bool, 
64.41/64.54	                         app_encode_app(fun_fu2118559873l_bool, 
64.41/64.54	                           app_encode_fun(fun_a_fun_state_bool, 
64.41/64.54	                             fun_a_1632297036l_bool), 
64.41/64.54	                           hAPP_f1509969235l_bool, 
64.41/64.54	                           app_encode_app(fun_fu1658206819l_bool, 
64.41/64.54	                             fun_fu2118559873l_bool, 
64.41/64.54	                             app_encode_app(fun_fu1340893257l_bool, 
64.41/64.54	                               app_encode_fun(fun_fu1658206819l_bool, 
64.41/64.54	                                 fun_fu2118559873l_bool), 
64.41/64.54	                               hAPP_f1178339559l_bool, 
64.41/64.54	                               cOMBB_1355796797bool_a), 
64.41/64.54	                             app_encode_app(fun_bo1549164019l_bool, 
64.41/64.54	                               fun_fu1658206819l_bool, 
64.41/64.54	                               app_encode_app(fun_fu1873708859l_bool, 
64.41/64.54	                                 app_encode_fun(fun_bo1549164019l_bool, 
64.41/64.54	                                   fun_fu1658206819l_bool), 
64.41/64.54	                                 hAPP_f1561913689l_bool, 
64.41/64.54	                                 cOMBB_188601460_state), fconj))), p)))), 
64.41/64.54	                 app_encode_app(fun_state_bool, fun_state_bool, 
64.41/64.54	                   app_encode_app(fun_fu373216837e_bool, 
64.41/64.54	                     app_encode_fun(fun_state_bool, fun_state_bool), 
64.41/64.54	                     hAPP_f1759915619e_bool, 
64.41/64.54	                     app_encode_app(fun_bool_bool, fun_fu373216837e_bool, 
64.41/64.54	                       app_encode_app(fun_fu88048803e_bool, 
64.41/64.54	                         app_encode_fun(fun_bool_bool, fun_fu373216837e_bool), 
64.41/64.54	                         hAPP_f2073279419e_bool, cOMBB_160679318_state), 
64.41/64.54	                       fNot)), b)), c, g)))),
64.41/64.54	    inference('sup-', [status(thm)], ['29', '31'])).
64.41/64.54	tff(zf_stmt_1266, axiom,
64.41/64.54	  (![P:fun_state_bool,Q:x_a]:
64.41/64.54	     (app_encode_app(x_a,fun_state_bool,
64.41/64.54	                     app_encode_app(fun_a_fun_state_bool,
64.41/64.54	                                    app_encode_fun(x_a,fun_state_bool),
64.41/64.54	                                    hAPP_a2036067514e_bool,
64.41/64.54	                                    app_encode_app(fun_state_bool,
64.41/64.54	                                                   fun_a_fun_state_bool,
64.41/64.54	                                                   app_encode_app(fun_fu281355805e_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  fun_state_bool,
64.41/64.54	                                                                  fun_a_fun_state_bool),
64.41/64.54	                                                                  hAPP_f762886889e_bool,
64.41/64.54	                                                                  cOMBK_1458035955bool_a),
64.41/64.54	                                                   P)),
64.41/64.54	                     Q) =
64.41/64.54	      P))).
64.41/64.54	tff('33', plain,
64.41/64.54	    ![X2022 : fun_state_bool, X2023 : x_a]:
64.41/64.54	      app_encode_app(x_a, fun_state_bool, 
64.41/64.54	        app_encode_app(fun_a_fun_state_bool, 
64.41/64.54	          app_encode_fun(x_a, fun_state_bool), hAPP_a2036067514e_bool, 
64.41/64.54	          app_encode_app(fun_state_bool, fun_a_fun_state_bool, 
64.41/64.54	            app_encode_app(fun_fu281355805e_bool, 
64.41/64.54	              app_encode_fun(fun_state_bool, fun_a_fun_state_bool), 
64.41/64.54	              hAPP_f762886889e_bool, cOMBK_1458035955bool_a), X2022)), X2023)
64.41/64.54	       = X2022,
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_1266])).
64.41/64.54	tff(zf_stmt_1260, axiom,
64.41/64.54	  (![P:bool,Q:state]:
64.41/64.54	     (app_encode_app(state,bool,
64.41/64.54	                     app_encode_app(fun_state_bool,
64.41/64.54	                                    app_encode_fun(state,bool),
64.41/64.54	                                    hAPP_state_bool,
64.41/64.54	                                    app_encode_app(bool,fun_state_bool,
64.41/64.54	                                                   app_encode_app(fun_bo1936561970e_bool,
64.41/64.54	                                                                  app_encode_fun(
64.41/64.54	                                                                  bool,
64.41/64.54	                                                                  fun_state_bool),
64.41/64.54	                                                                  hAPP_b2019457360e_bool,
64.41/64.54	                                                                  cOMBK_bool_state),
64.41/64.54	                                                   P)),
64.41/64.54	                     Q) =
64.41/64.54	      P))).
64.41/64.54	tff('34', plain,
64.41/64.54	    ![X2007 : bool, X2008 : state]:
64.41/64.54	      app_encode_app(state, bool, 
64.41/64.54	        app_encode_app(fun_state_bool, app_encode_fun(state, bool), 
64.41/64.54	          hAPP_state_bool, 
64.41/64.54	          app_encode_app(bool, fun_state_bool, 
64.41/64.54	            app_encode_app(fun_bo1936561970e_bool, 
64.41/64.54	              app_encode_fun(bool, fun_state_bool), hAPP_b2019457360e_bool, 
64.41/64.54	              cOMBK_bool_state), X2007)), X2008)
64.41/64.54	       = X2007,
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_1260])).
64.41/64.54	tff('35', plain,
64.41/64.54	    ![X0 : bool]:
64.41/64.54	      (~ app_encode_app(bool, $o, hBOOL, X0)
64.41/64.54	       | X0 = bot_bot_bool
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
64.41/64.54	    inference('demod', [status(thm)], ['32', '33', '34'])).
64.41/64.54	tff('36', plain,
64.41/64.54	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = bot_bot_bool),
64.41/64.54	    inference('demod', [status(thm)], ['23', '25'])).
64.41/64.54	tff('37', plain,
64.41/64.54	    ![X0 : bool]:
64.41/64.54	      (app_encode_app(bool, $o, hBOOL, bot_bot_bool) | X0 = bot_bot_bool),
64.41/64.54	    inference('clc', [status(thm)], ['35', '36'])).
64.41/64.54	tff('38', plain, ![X0 : bool]: X0 = bot_bot_bool,
64.41/64.54	    inference('clc', [status(thm)], ['37', '17'])).
64.41/64.54	tff('39', plain,
64.41/64.54	    ![X1453 : bool]:
64.41/64.54	      (zip_tseitin3(X1453)
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, bot_bot_bool)
64.41/64.54	       | app_encode_app(bool, $o, hBOOL, X1453)),
64.41/64.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
64.41/64.54	tff('40', plain,
64.41/64.54	    (~ $true
64.41/64.54	     | app_encode_app(bool, $o, hBOOL, bot_bot_bool)
64.41/64.54	     | zip_tseitin3(bot_bot_bool)),
64.41/64.54	    inference('eq_fact', [status(thm)], ['39'])).
64.41/64.54	tff('41', plain,
64.41/64.54	    (zip_tseitin3(bot_bot_bool)
64.41/64.54	     | app_encode_app(bool, $o, hBOOL, bot_bot_bool)),
64.41/64.54	    inference('simplify', [status(thm)], ['40'])).
64.41/64.54	tff('42', plain, (~ $true | zip_tseitin3(bot_bot_bool)),
64.41/64.54	    inference('sup-', [status(thm)], ['41', '17'])).
64.41/64.54	tff('43', plain, zip_tseitin3(bot_bot_bool),
64.41/64.54	    inference('simplify', [status(thm)], ['42'])).
64.41/64.54	tff('44', plain, ~ $true,
64.41/64.54	    inference('demod', [status(thm)], ['19', '38', '43'])).
64.41/64.54	tff('45', plain, $false, inference('simplify', [status(thm)], ['44'])).
64.41/64.54	
64.41/64.54	% SZS output end Refutation
64.41/64.54	EOF
