0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n073.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:35:53 CST 2018
12.09/12.24	% done 4496 iterations in 12.042s
12.09/12.24	% SZS status Theorem for 'stdin'
12.09/12.24	% SZS output start Refutation
12.09/12.24	tff(zf_stmt_612, axiom,
12.09/12.24	  (app_encode_app(pname,option_com,
12.09/12.24	                  app_encode_app(fun_pname_option_com,
12.09/12.24	                                 app_encode_fun(pname,option_com),
12.09/12.24	                                 hAPP_p799580910on_com,body),
12.09/12.24	                  pn) =
12.09/12.24	   app_encode_app(com,option_com,some_com,y))).
12.09/12.24	tff('0', plain,
12.09/12.24	    app_encode_app(pname, option_com, 
12.09/12.24	      app_encode_app(fun_pname_option_com, 
12.09/12.24	        app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), pn)
12.09/12.24	     = app_encode_app(com, option_com, some_com, y),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_612])).
12.09/12.24	tff(zf_stmt_528, axiom,
12.09/12.24	  (![Pn:pname,B_2:com]:
12.09/12.24	     (app_encode_app(bool,$o,hBOOL,wT_bodies) =>
12.09/12.24	      ((app_encode_app(pname,option_com,
12.09/12.24	                       app_encode_app(fun_pname_option_com,
12.09/12.24	                                      app_encode_fun(pname,option_com),
12.09/12.24	                                      hAPP_p799580910on_com,body),
12.09/12.24	                       Pn) =
12.09/12.24	        app_encode_app(com,option_com,some_com,B_2)) =>
12.09/12.24	       app_encode_app(bool,$o,hBOOL,app_encode_app(com,bool,wt,B_2)))))).
12.09/12.24	tff('1', plain,
12.09/12.24	    ![X697 : com, X698 : pname]:
12.09/12.24	      (~ app_encode_app(bool, $o, hBOOL, wT_bodies)
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X697))
12.09/12.24	       | app_encode_app(pname, option_com, 
12.09/12.24	           app_encode_app(fun_pname_option_com, 
12.09/12.24	             app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), 
12.09/12.24	           X698)
12.09/12.24	          != app_encode_app(com, option_com, some_com, X697)),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_528])).
12.09/12.24	tff(zf_stmt_607, axiom,
12.09/12.24	  (app_encode_app(bool,$o,hBOOL,hoare_1310879719gleton))).
12.09/12.24	tff('2', plain, app_encode_app(bool, $o, hBOOL, hoare_1310879719gleton),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_607])).
12.09/12.24	tff(zf_stmt_549, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
12.09/12.24	tff('3', plain, ![X739 : bool]: (X739 = fTrue | X739 = fFalse),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_549])).
12.09/12.24	tff(zf_stmt_548, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
12.09/12.24	tff('4', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_548])).
12.09/12.24	tff('5', plain,
12.09/12.24	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
12.09/12.24	    inference('sup-', [status(thm)], ['3', '4'])).
12.09/12.24	tff('6', plain, (~ $true | hoare_1310879719gleton = fTrue),
12.09/12.24	    inference('sup-', [status(thm)], ['2', '5'])).
12.09/12.24	tff('7', plain, hoare_1310879719gleton = fTrue,
12.09/12.24	    inference('simplify', [status(thm)], ['6'])).
12.09/12.24	tff(zf_stmt_608, axiom, (app_encode_app(bool,$o,hBOOL,wT_bodies))).
12.09/12.24	tff('8', plain, app_encode_app(bool, $o, hBOOL, wT_bodies),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_608])).
12.09/12.24	tff('9', plain, (~ $true | wT_bodies = fTrue),
12.09/12.24	    inference('sup-', [status(thm)], ['8', '5'])).
12.09/12.24	tff('10', plain, wT_bodies = fTrue,
12.09/12.24	    inference('simplify', [status(thm)], ['9'])).
12.09/12.24	tff('11', plain, wT_bodies = hoare_1310879719gleton,
12.09/12.24	    inference('sup+', [status(thm)], ['7', '10'])).
12.09/12.24	tff(zf_stmt_283, axiom,
12.09/12.24	  (app_encode_app(bool,$o,hBOOL,
12.09/12.24	                  app_encode_app(fun_pname_bool,bool,
12.09/12.24	                                 app_encode_app(fun_fu1430349052l_bool,
12.09/12.24	                                                app_encode_fun(fun_pname_bool,
12.09/12.24	                                                               bool),
12.09/12.24	                                                hAPP_f1664156314l_bool,
12.09/12.24	                                                finite_finite_pname),
12.09/12.24	                                 bot_bo844097828e_bool)))).
12.09/12.24	tff('12', plain,
12.09/12.24	    app_encode_app(bool, $o, hBOOL, 
12.09/12.24	      app_encode_app(fun_pname_bool, bool, 
12.09/12.24	        app_encode_app(fun_fu1430349052l_bool, 
12.09/12.24	          app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
12.09/12.24	          finite_finite_pname), bot_bo844097828e_bool)),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_283])).
12.09/12.24	tff('13', plain,
12.09/12.24	    (~ $true
12.09/12.24	     | app_encode_app(fun_pname_bool, bool, 
12.09/12.24	         app_encode_app(fun_fu1430349052l_bool, 
12.09/12.24	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
12.09/12.24	           finite_finite_pname), bot_bo844097828e_bool)
12.09/12.24	        = fTrue),
12.09/12.24	    inference('sup-', [status(thm)], ['12', '5'])).
12.09/12.24	tff('14', plain,
12.09/12.24	    app_encode_app(fun_pname_bool, bool, 
12.09/12.24	      app_encode_app(fun_fu1430349052l_bool, 
12.09/12.24	        app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
12.09/12.24	        finite_finite_pname), bot_bo844097828e_bool)
12.09/12.24	     = fTrue,
12.09/12.24	    inference('simplify', [status(thm)], ['13'])).
12.09/12.24	tff('15', plain,
12.09/12.24	    hoare_1310879719gleton
12.09/12.24	     = app_encode_app(fun_pname_bool, bool, 
12.09/12.24	         app_encode_app(fun_fu1430349052l_bool, 
12.09/12.24	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
12.09/12.24	           finite_finite_pname), bot_bo844097828e_bool),
12.09/12.24	    inference('sup+', [status(thm)], ['14', '7'])).
12.09/12.24	tff('16', plain,
12.09/12.24	    wT_bodies
12.09/12.24	     = app_encode_app(fun_pname_bool, bool, 
12.09/12.24	         app_encode_app(fun_fu1430349052l_bool, 
12.09/12.24	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
12.09/12.24	           finite_finite_pname), bot_bo844097828e_bool),
12.09/12.24	    inference('demod', [status(thm)], ['11', '15'])).
12.09/12.24	tff('17', plain,
12.09/12.24	    ![X697 : com, X698 : pname]:
12.09/12.24	      (~ $true
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X697))
12.09/12.24	       | app_encode_app(pname, option_com, 
12.09/12.24	           app_encode_app(fun_pname_option_com, 
12.09/12.24	             app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), 
12.09/12.24	           X698)
12.09/12.24	          != app_encode_app(com, option_com, some_com, X697)),
12.09/12.24	    inference('demod', [status(thm)], ['1', '16', '12'])).
12.09/12.24	tff('18', plain,
12.09/12.24	    ![X697 : com, X698 : pname]:
12.09/12.24	      (app_encode_app(pname, option_com, 
12.09/12.24	         app_encode_app(fun_pname_option_com, 
12.09/12.24	           app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), 
12.09/12.24	         X698)
12.09/12.24	        != app_encode_app(com, option_com, some_com, X697)
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X697))),
12.09/12.24	    inference('simplify', [status(thm)], ['17'])).
12.09/12.24	tff('19', plain,
12.09/12.24	    ![X0 : com]:
12.09/12.24	      (app_encode_app(com, option_com, some_com, y)
12.09/12.24	        != app_encode_app(com, option_com, some_com, X0)
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X0))),
12.09/12.24	    inference('sup-', [status(thm)], ['0', '18'])).
12.09/12.24	tff('20', plain,
12.09/12.24	    app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, y)),
12.09/12.24	    inference('eq_res', [status(thm)], ['19'])).
12.09/12.24	tff(zf_stmt_343, axiom,
12.09/12.24	  (![C_1:com]:
12.09/12.24	     (app_encode_app(bool,$o,hBOOL,hoare_1310879719gleton) =>
12.09/12.24	      (app_encode_app(bool,$o,hBOOL,wT_bodies) =>
12.09/12.24	       (app_encode_app(bool,$o,hBOOL,app_encode_app(com,bool,wt,C_1)) =>
12.09/12.24	        app_encode_app(bool,$o,hBOOL,
12.09/12.24	                       app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                      app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                     app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                                    bool),
12.09/12.24	                                                     hAPP_f355887345l_bool,
12.09/12.24	                                                     app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                                    fun_fu1783763359l_bool,
12.09/12.24	                                                                    hoare_1193527299_state,
12.09/12.24	                                                                    bot_bo454148287e_bool)),
12.09/12.24	                                      app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                     fun_Ho734851753e_bool,
12.09/12.24	                                                     app_encode_app(hoare_1848483303_state,
12.09/12.24	                                                                    app_encode_fun(
12.09/12.24	                                                                    fun_Ho734851753e_bool,
12.09/12.24	                                                                    fun_Ho734851753e_bool),
12.09/12.24	                                                                    insert668001005_state,
12.09/12.24	                                                                    app_encode_app(
12.09/12.24	                                                                    com,
12.09/12.24	                                                                    hoare_1848483303_state,
12.09/12.24	                                                                    app_encode_app(
12.09/12.24	                                                                    fun_co1814942666_state,
12.09/12.24	                                                                    app_encode_fun(
12.09/12.24	                                                                    com,
12.09/12.24	                                                                    hoare_1848483303_state),
12.09/12.24	                                                                    hAPP_c379084956_state,
12.09/12.24	                                                                    hoare_Mirabelle_MGT),
12.09/12.24	                                                                    C_1)),
12.09/12.24	                                                     bot_bo454148287e_bool)))))))).
12.09/12.24	tff('21', plain,
12.09/12.24	    ![X232 : com]:
12.09/12.24	      (~ app_encode_app(bool, $o, hBOOL, wT_bodies)
12.09/12.24	       | ~ app_encode_app(bool, $o, hBOOL, hoare_1310879719gleton)
12.09/12.24	       | ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	             app_encode_app(com, bool, wt, X232))
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, bot_bo454148287e_bool)), 
12.09/12.24	             app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
12.09/12.24	               app_encode_app(hoare_1848483303_state, 
12.09/12.24	                 app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
12.09/12.24	                 insert668001005_state, 
12.09/12.24	                 app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	                   app_encode_app(fun_co1814942666_state, 
12.09/12.24	                     app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                     hAPP_c379084956_state, hoare_Mirabelle_MGT), X232)), 
12.09/12.24	               bot_bo454148287e_bool)))),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_343])).
12.09/12.24	tff(zf_stmt_524, axiom,
12.09/12.24	  (![A_2:hoare_1848483303_state]:
12.09/12.24	     (app_encode_app(fun_Ho734851753e_bool,fun_Ho734851753e_bool,
12.09/12.24	                     collec1708318610_state,
12.09/12.24	                     app_encode_app(hoare_1848483303_state,
12.09/12.24	                                    fun_Ho734851753e_bool,
12.09/12.24	                                    app_encode_app(fun_Ho1480763635e_bool,
12.09/12.24	                                                   app_encode_fun(hoare_1848483303_state,
12.09/12.24	                                                                  fun_Ho734851753e_bool),
12.09/12.24	                                                   hAPP_H1618070847e_bool,
12.09/12.24	                                                   fequal364418600_state),
12.09/12.24	                                    A_2)) =
12.09/12.24	      app_encode_app(fun_Ho734851753e_bool,fun_Ho734851753e_bool,
12.09/12.24	                     app_encode_app(hoare_1848483303_state,
12.09/12.24	                                    app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                   fun_Ho734851753e_bool),
12.09/12.24	                                    insert668001005_state,A_2),
12.09/12.24	                     bot_bo454148287e_bool)))).
12.09/12.24	tff('22', plain,
12.09/12.24	    ![X692 : hoare_1848483303_state]:
12.09/12.24	      app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
12.09/12.24	        collec1708318610_state, 
12.09/12.24	        app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	          app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	            app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	            hAPP_H1618070847e_bool, fequal364418600_state), X692))
12.09/12.24	       = app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
12.09/12.24	           app_encode_app(hoare_1848483303_state, 
12.09/12.24	             app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
12.09/12.24	             insert668001005_state, X692), bot_bo454148287e_bool),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_524])).
12.09/12.24	tff(zf_stmt_495, axiom,
12.09/12.24	  (![P_1:fun_Ho734851753e_bool]:
12.09/12.24	     (app_encode_app(fun_Ho734851753e_bool,fun_Ho734851753e_bool,
12.09/12.24	                     collec1708318610_state,P_1) =
12.09/12.24	      P_1))).
12.09/12.24	tff('23', plain,
12.09/12.24	    ![X619 : fun_Ho734851753e_bool]:
12.09/12.24	      app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
12.09/12.24	        collec1708318610_state, X619)
12.09/12.24	       = X619,
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_495])).
12.09/12.24	tff('24', plain,
12.09/12.24	    ![X692 : hoare_1848483303_state]:
12.09/12.24	      app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	        app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	          app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	          hAPP_H1618070847e_bool, fequal364418600_state), X692)
12.09/12.24	       = app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
12.09/12.24	           app_encode_app(hoare_1848483303_state, 
12.09/12.24	             app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
12.09/12.24	             insert668001005_state, X692), bot_bo454148287e_bool),
12.09/12.24	    inference('demod', [status(thm)], ['22', '23'])).
12.09/12.24	tff('25', plain,
12.09/12.24	    ![X232 : com]:
12.09/12.24	      (~ $true
12.09/12.24	       | ~ $true
12.09/12.24	       | ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	             app_encode_app(com, bool, wt, X232))
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, bot_bo454148287e_bool)), 
12.09/12.24	             app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	               app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	                 app_encode_fun(hoare_1848483303_state, 
12.09/12.24	                   fun_Ho734851753e_bool), hAPP_H1618070847e_bool, 
12.09/12.24	                 fequal364418600_state), 
12.09/12.24	               app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	                 app_encode_app(fun_co1814942666_state, 
12.09/12.24	                   app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                   hAPP_c379084956_state, hoare_Mirabelle_MGT), X232))))),
12.09/12.24	    inference('demod', [status(thm)], ['21', '16', '12', '15', '12', '24'])).
12.09/12.24	tff('26', plain,
12.09/12.24	    ![X232 : com]:
12.09/12.24	      (app_encode_app(bool, $o, hBOOL, 
12.09/12.24	         app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	           app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	             app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	             hAPP_f355887345l_bool, 
12.09/12.24	             app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	               hoare_1193527299_state, bot_bo454148287e_bool)), 
12.09/12.24	           app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	             app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	               app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	               hAPP_H1618070847e_bool, fequal364418600_state), 
12.09/12.24	             app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	               app_encode_app(fun_co1814942666_state, 
12.09/12.24	                 app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                 hAPP_c379084956_state, hoare_Mirabelle_MGT), X232))))
12.09/12.24	       | ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	             app_encode_app(com, bool, wt, X232))),
12.09/12.24	    inference('simplify', [status(thm)], ['25'])).
12.09/12.24	tff('27', plain,
12.09/12.24	    (~ $true
12.09/12.24	     | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	         app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	           app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	             app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	             hAPP_f355887345l_bool, 
12.09/12.24	             app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	               hoare_1193527299_state, bot_bo454148287e_bool)), 
12.09/12.24	           app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	             app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	               app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	               hAPP_H1618070847e_bool, fequal364418600_state), 
12.09/12.24	             app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	               app_encode_app(fun_co1814942666_state, 
12.09/12.24	                 app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                 hAPP_c379084956_state, hoare_Mirabelle_MGT), y))))),
12.09/12.24	    inference('sup-', [status(thm)], ['20', '26'])).
12.09/12.24	tff('28', plain,
12.09/12.24	    app_encode_app(bool, $o, hBOOL, 
12.09/12.24	      app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	        app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	          app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	          hAPP_f355887345l_bool, 
12.09/12.24	          app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	            hoare_1193527299_state, bot_bo454148287e_bool)), 
12.09/12.24	        app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	          app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	            app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	            hAPP_H1618070847e_bool, fequal364418600_state), 
12.09/12.24	          app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	            app_encode_app(fun_co1814942666_state, 
12.09/12.24	              app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	              hAPP_c379084956_state, hoare_Mirabelle_MGT), y)))),
12.09/12.24	    inference('simplify', [status(thm)], ['27'])).
12.09/12.24	tff(zf_stmt_240, axiom,
12.09/12.24	  (![G:fun_Ho734851753e_bool]:
12.09/12.24	     app_encode_app(bool,$o,hBOOL,
12.09/12.24	                    app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                   app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                  app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                                 bool),
12.09/12.24	                                                  hAPP_f355887345l_bool,
12.09/12.24	                                                  app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                                 fun_fu1783763359l_bool,
12.09/12.24	                                                                 hoare_1193527299_state,
12.09/12.24	                                                                 G)),
12.09/12.24	                                   bot_bo454148287e_bool)))).
12.09/12.24	tff('29', plain,
12.09/12.24	    ![X0 : fun_Ho734851753e_bool]:
12.09/12.24	      app_encode_app(bool, $o, hBOOL, 
12.09/12.24	        app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	          app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	            app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	            hAPP_f355887345l_bool, 
12.09/12.24	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	              hoare_1193527299_state, X0)), bot_bo454148287e_bool)),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_240])).
12.09/12.24	tff(zf_stmt_244, axiom,
12.09/12.24	  (![G:fun_Ho734851753e_bool,G_1:fun_Ho734851753e_bool,
12.09/12.24	     Ts:fun_Ho734851753e_bool]:
12.09/12.24	     (app_encode_app(bool,$o,hBOOL,
12.09/12.24	                     app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                    app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                   app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                                  bool),
12.09/12.24	                                                   hAPP_f355887345l_bool,
12.09/12.24	                                                   app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                                  fun_fu1783763359l_bool,
12.09/12.24	                                                                  hoare_1193527299_state,
12.09/12.24	                                                                  G_1)),
12.09/12.24	                                    Ts)) =>
12.09/12.24	      (app_encode_app(bool,$o,hBOOL,
12.09/12.24	                      app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                     app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                    app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                                   bool),
12.09/12.24	                                                    hAPP_f355887345l_bool,
12.09/12.24	                                                    app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                                   fun_fu1783763359l_bool,
12.09/12.24	                                                                   hoare_1193527299_state,
12.09/12.24	                                                                   G)),
12.09/12.24	                                     G_1)) =>
12.09/12.24	       app_encode_app(bool,$o,hBOOL,
12.09/12.24	                      app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                     app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                    app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                                   bool),
12.09/12.24	                                                    hAPP_f355887345l_bool,
12.09/12.24	                                                    app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                                   fun_fu1783763359l_bool,
12.09/12.24	                                                                   hoare_1193527299_state,
12.09/12.24	                                                                   G)),
12.09/12.24	                                     Ts)))))).
12.09/12.24	tff('30', plain,
12.09/12.24	    ![X9 : fun_Ho734851753e_bool, X10 : fun_Ho734851753e_bool, 
12.09/12.24	      X11 : fun_Ho734851753e_bool]:
12.09/12.24	      (~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, X9)), X10))
12.09/12.24	       | ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	             app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	               app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	                 app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	                 hAPP_f355887345l_bool, 
12.09/12.24	                 app_encode_app(fun_Ho734851753e_bool, 
12.09/12.24	                   fun_fu1783763359l_bool, hoare_1193527299_state, X10)), 
12.09/12.24	               X11))
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, X9)), X11))),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_244])).
12.09/12.24	tff('31', plain,
12.09/12.24	    ![X0 : fun_Ho734851753e_bool, X1 : fun_Ho734851753e_bool]:
12.09/12.24	      (~ $true
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, X0)), X1))
12.09/12.24	       | ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	             app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	               app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	                 app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	                 hAPP_f355887345l_bool, 
12.09/12.24	                 app_encode_app(fun_Ho734851753e_bool, 
12.09/12.24	                   fun_fu1783763359l_bool, hoare_1193527299_state, 
12.09/12.24	                   bot_bo454148287e_bool)), X1))),
12.09/12.24	    inference('sup-', [status(thm)], ['29', '30'])).
12.09/12.24	tff('32', plain,
12.09/12.24	    ![X0 : fun_Ho734851753e_bool, X1 : fun_Ho734851753e_bool]:
12.09/12.24	      (~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, bot_bo454148287e_bool)), X1))
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, X0)), X1))),
12.09/12.24	    inference('simplify', [status(thm)], ['31'])).
12.09/12.24	tff('33', plain,
12.09/12.24	    ![X0 : fun_Ho734851753e_bool]:
12.09/12.24	      (~ $true
12.09/12.24	       | app_encode_app(bool, $o, hBOOL, 
12.09/12.24	           app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	             app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	               app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	               hAPP_f355887345l_bool, 
12.09/12.24	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	                 hoare_1193527299_state, X0)), 
12.09/12.24	             app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	               app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	                 app_encode_fun(hoare_1848483303_state, 
12.09/12.24	                   fun_Ho734851753e_bool), hAPP_H1618070847e_bool, 
12.09/12.24	                 fequal364418600_state), 
12.09/12.24	               app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	                 app_encode_app(fun_co1814942666_state, 
12.09/12.24	                   app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                   hAPP_c379084956_state, hoare_Mirabelle_MGT), y))))),
12.09/12.24	    inference('sup-', [status(thm)], ['28', '32'])).
12.09/12.24	tff('34', plain,
12.09/12.24	    ![X0 : fun_Ho734851753e_bool]:
12.09/12.24	      app_encode_app(bool, $o, hBOOL, 
12.09/12.24	        app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	          app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	            app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	            hAPP_f355887345l_bool, 
12.09/12.24	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	              hoare_1193527299_state, X0)), 
12.09/12.24	          app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	            app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	              app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	              hAPP_H1618070847e_bool, fequal364418600_state), 
12.09/12.24	            app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	              app_encode_app(fun_co1814942666_state, 
12.09/12.24	                app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                hAPP_c379084956_state, hoare_Mirabelle_MGT), y)))),
12.09/12.24	    inference('simplify', [status(thm)], ['33'])).
12.09/12.24	tff(zf_stmt_614, conjecture,
12.09/12.24	  (app_encode_app(bool,$o,hBOOL,
12.09/12.24	                  app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                 app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                               bool),
12.09/12.24	                                                hAPP_f355887345l_bool,
12.09/12.24	                                                app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                               fun_fu1783763359l_bool,
12.09/12.24	                                                               hoare_1193527299_state,
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               fun_pname_bool,
12.09/12.24	                                                               fun_Ho734851753e_bool,
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               fun_pn447269700_state,
12.09/12.24	                                                               app_encode_fun(
12.09/12.24	                                                               fun_pname_bool,
12.09/12.24	                                                               fun_Ho734851753e_bool),
12.09/12.24	                                                               image_1256224870_state,
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               fun_pname_com,
12.09/12.24	                                                               fun_pn447269700_state,
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               fun_co1814942666_state,
12.09/12.24	                                                               app_encode_fun(
12.09/12.24	                                                               fun_pname_com,
12.09/12.24	                                                               fun_pn447269700_state),
12.09/12.24	                                                               cOMBB_573322273_pname,
12.09/12.24	                                                               hoare_Mirabelle_MGT),
12.09/12.24	                                                               body_1)),
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               fun_pname_option_com,
12.09/12.24	                                                               fun_pname_bool,
12.09/12.24	                                                               dom_pname_com,
12.09/12.24	                                                               body)))),
12.09/12.24	                                 app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                fun_Ho734851753e_bool,
12.09/12.24	                                                app_encode_app(hoare_1848483303_state,
12.09/12.24	                                                               app_encode_fun(
12.09/12.24	                                                               fun_Ho734851753e_bool,
12.09/12.24	                                                               fun_Ho734851753e_bool),
12.09/12.24	                                                               insert668001005_state,
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               com,
12.09/12.24	                                                               hoare_1848483303_state,
12.09/12.24	                                                               app_encode_app(
12.09/12.24	                                                               fun_co1814942666_state,
12.09/12.24	                                                               app_encode_fun(
12.09/12.24	                                                               com,
12.09/12.24	                                                               hoare_1848483303_state),
12.09/12.24	                                                               hAPP_c379084956_state,
12.09/12.24	                                                               hoare_Mirabelle_MGT),
12.09/12.24	                                                               y)),
12.09/12.24	                                                bot_bo454148287e_bool))))).
12.09/12.24	tff(zf_stmt_0, negated_conjecture,
12.09/12.24	  (~
12.09/12.24	    app_encode_app(bool,$o,hBOOL,
12.09/12.24	                   app_encode_app(fun_Ho734851753e_bool,bool,
12.09/12.24	                                  app_encode_app(fun_fu1783763359l_bool,
12.09/12.24	                                                 app_encode_fun(fun_Ho734851753e_bool,
12.09/12.24	                                                                bool),
12.09/12.24	                                                 hAPP_f355887345l_bool,
12.09/12.24	                                                 app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                                fun_fu1783763359l_bool,
12.09/12.24	                                                                hoare_1193527299_state,
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                fun_pname_bool,
12.09/12.24	                                                                fun_Ho734851753e_bool,
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                fun_pn447269700_state,
12.09/12.24	                                                                app_encode_fun(
12.09/12.24	                                                                fun_pname_bool,
12.09/12.24	                                                                fun_Ho734851753e_bool),
12.09/12.24	                                                                image_1256224870_state,
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                fun_pname_com,
12.09/12.24	                                                                fun_pn447269700_state,
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                fun_co1814942666_state,
12.09/12.24	                                                                app_encode_fun(
12.09/12.24	                                                                fun_pname_com,
12.09/12.24	                                                                fun_pn447269700_state),
12.09/12.24	                                                                cOMBB_573322273_pname,
12.09/12.24	                                                                hoare_Mirabelle_MGT),
12.09/12.24	                                                                body_1)),
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                fun_pname_option_com,
12.09/12.24	                                                                fun_pname_bool,
12.09/12.24	                                                                dom_pname_com,
12.09/12.24	                                                                body)))),
12.09/12.24	                                  app_encode_app(fun_Ho734851753e_bool,
12.09/12.24	                                                 fun_Ho734851753e_bool,
12.09/12.24	                                                 app_encode_app(hoare_1848483303_state,
12.09/12.24	                                                                app_encode_fun(
12.09/12.24	                                                                fun_Ho734851753e_bool,
12.09/12.24	                                                                fun_Ho734851753e_bool),
12.09/12.24	                                                                insert668001005_state,
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                com,
12.09/12.24	                                                                hoare_1848483303_state,
12.09/12.24	                                                                app_encode_app(
12.09/12.24	                                                                fun_co1814942666_state,
12.09/12.24	                                                                app_encode_fun(
12.09/12.24	                                                                com,
12.09/12.24	                                                                hoare_1848483303_state),
12.09/12.24	                                                                hAPP_c379084956_state,
12.09/12.24	                                                                hoare_Mirabelle_MGT),
12.09/12.24	                                                                y)),
12.09/12.24	                                                 bot_bo454148287e_bool))))).
12.09/12.24	tff('35', plain,
12.09/12.24	    ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	        app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	          app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	            app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	            hAPP_f355887345l_bool, 
12.09/12.24	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	              hoare_1193527299_state, 
12.09/12.24	              app_encode_app(fun_pname_bool, fun_Ho734851753e_bool, 
12.09/12.24	                app_encode_app(fun_pn447269700_state, 
12.09/12.24	                  app_encode_fun(fun_pname_bool, fun_Ho734851753e_bool), 
12.09/12.24	                  image_1256224870_state, 
12.09/12.24	                  app_encode_app(fun_pname_com, fun_pn447269700_state, 
12.09/12.24	                    app_encode_app(fun_co1814942666_state, 
12.09/12.24	                      app_encode_fun(fun_pname_com, fun_pn447269700_state), 
12.09/12.24	                      cOMBB_573322273_pname, hoare_Mirabelle_MGT), body_1)), 
12.09/12.24	                app_encode_app(fun_pname_option_com, fun_pname_bool, 
12.09/12.24	                  dom_pname_com, body)))), 
12.09/12.24	          app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
12.09/12.24	            app_encode_app(hoare_1848483303_state, 
12.09/12.24	              app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
12.09/12.24	              insert668001005_state, 
12.09/12.24	              app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	                app_encode_app(fun_co1814942666_state, 
12.09/12.24	                  app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                  hAPP_c379084956_state, hoare_Mirabelle_MGT), y)), 
12.09/12.24	            bot_bo454148287e_bool))),
12.09/12.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.09/12.24	tff('36', plain,
12.09/12.24	    ~ app_encode_app(bool, $o, hBOOL, 
12.09/12.24	        app_encode_app(fun_Ho734851753e_bool, bool, 
12.09/12.24	          app_encode_app(fun_fu1783763359l_bool, 
12.09/12.24	            app_encode_fun(fun_Ho734851753e_bool, bool), 
12.09/12.24	            hAPP_f355887345l_bool, 
12.09/12.24	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
12.09/12.24	              hoare_1193527299_state, 
12.09/12.24	              app_encode_app(fun_pname_bool, fun_Ho734851753e_bool, 
12.09/12.24	                app_encode_app(fun_pn447269700_state, 
12.09/12.24	                  app_encode_fun(fun_pname_bool, fun_Ho734851753e_bool), 
12.09/12.24	                  image_1256224870_state, 
12.09/12.24	                  app_encode_app(fun_pname_com, fun_pn447269700_state, 
12.09/12.24	                    app_encode_app(fun_co1814942666_state, 
12.09/12.24	                      app_encode_fun(fun_pname_com, fun_pn447269700_state), 
12.09/12.24	                      cOMBB_573322273_pname, hoare_Mirabelle_MGT), body_1)), 
12.09/12.24	                app_encode_app(fun_pname_option_com, fun_pname_bool, 
12.09/12.24	                  dom_pname_com, body)))), 
12.09/12.24	          app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
12.09/12.24	            app_encode_app(fun_Ho1480763635e_bool, 
12.09/12.24	              app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
12.09/12.24	              hAPP_H1618070847e_bool, fequal364418600_state), 
12.09/12.24	            app_encode_app(com, hoare_1848483303_state, 
12.09/12.24	              app_encode_app(fun_co1814942666_state, 
12.09/12.24	                app_encode_fun(com, hoare_1848483303_state), 
12.09/12.24	                hAPP_c379084956_state, hoare_Mirabelle_MGT), y)))),
12.09/12.24	    inference('demod', [status(thm)], ['35', '24'])).
12.09/12.24	tff('37', plain, ~ $true, inference('sup-', [status(thm)], ['34', '36'])).
12.09/12.24	tff('38', plain, $false, inference('simplify', [status(thm)], ['37'])).
12.09/12.24	
12.09/12.24	% SZS output end Refutation
12.09/12.25	EOF
