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    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n154.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:35:54 CST 2018
13.55/13.71	% done 4665 iterations in 13.502s
13.55/13.71	% SZS status Theorem for 'stdin'
13.55/13.71	% SZS output start Refutation
13.55/13.71	tff(zf_stmt_613, axiom,
13.55/13.71	  (app_encode_app(pname,option_com,
13.55/13.71	                  app_encode_app(fun_pname_option_com,
13.55/13.71	                                 app_encode_fun(pname,option_com),
13.55/13.71	                                 hAPP_p799580910on_com,body),
13.55/13.71	                  pn) =
13.55/13.71	   app_encode_app(com,option_com,some_com,y))).
13.55/13.71	tff('0', plain,
13.55/13.71	    app_encode_app(pname, option_com, 
13.55/13.71	      app_encode_app(fun_pname_option_com, 
13.55/13.71	        app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), pn)
13.55/13.71	     = app_encode_app(com, option_com, some_com, y),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_613])).
13.55/13.71	tff(zf_stmt_529, axiom,
13.55/13.71	  (![Pn:pname,B_2:com]:
13.55/13.71	     (app_encode_app(bool,$o,hBOOL,wT_bodies) =>
13.55/13.71	      ((app_encode_app(pname,option_com,
13.55/13.71	                       app_encode_app(fun_pname_option_com,
13.55/13.71	                                      app_encode_fun(pname,option_com),
13.55/13.71	                                      hAPP_p799580910on_com,body),
13.55/13.71	                       Pn) =
13.55/13.71	        app_encode_app(com,option_com,some_com,B_2)) =>
13.55/13.71	       app_encode_app(bool,$o,hBOOL,app_encode_app(com,bool,wt,B_2)))))).
13.55/13.71	tff('1', plain,
13.55/13.71	    ![X701 : com, X702 : pname]:
13.55/13.71	      (~ app_encode_app(bool, $o, hBOOL, wT_bodies)
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X701))
13.55/13.71	       | app_encode_app(pname, option_com, 
13.55/13.71	           app_encode_app(fun_pname_option_com, 
13.55/13.71	             app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), 
13.55/13.71	           X702)
13.55/13.71	          != app_encode_app(com, option_com, some_com, X701)),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_529])).
13.55/13.71	tff(zf_stmt_608, axiom,
13.55/13.71	  (app_encode_app(bool,$o,hBOOL,hoare_1310879719gleton))).
13.55/13.71	tff('2', plain, app_encode_app(bool, $o, hBOOL, hoare_1310879719gleton),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_608])).
13.55/13.71	tff(zf_stmt_550, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
13.55/13.71	tff('3', plain, ![X743 : bool]: (X743 = fTrue | X743 = fFalse),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_550])).
13.55/13.71	tff(zf_stmt_549, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
13.55/13.71	tff('4', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_549])).
13.55/13.71	tff('5', plain,
13.55/13.71	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
13.55/13.71	    inference('sup-', [status(thm)], ['3', '4'])).
13.55/13.71	tff('6', plain, (~ $true | hoare_1310879719gleton = fTrue),
13.55/13.71	    inference('sup-', [status(thm)], ['2', '5'])).
13.55/13.71	tff('7', plain, hoare_1310879719gleton = fTrue,
13.55/13.71	    inference('simplify', [status(thm)], ['6'])).
13.55/13.71	tff(zf_stmt_609, axiom, (app_encode_app(bool,$o,hBOOL,wT_bodies))).
13.55/13.71	tff('8', plain, app_encode_app(bool, $o, hBOOL, wT_bodies),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_609])).
13.55/13.71	tff('9', plain, (~ $true | wT_bodies = fTrue),
13.55/13.71	    inference('sup-', [status(thm)], ['8', '5'])).
13.55/13.71	tff('10', plain, wT_bodies = fTrue,
13.55/13.71	    inference('simplify', [status(thm)], ['9'])).
13.55/13.71	tff('11', plain, wT_bodies = hoare_1310879719gleton,
13.55/13.71	    inference('sup+', [status(thm)], ['7', '10'])).
13.55/13.71	tff(zf_stmt_284, axiom,
13.55/13.71	  (app_encode_app(bool,$o,hBOOL,
13.55/13.71	                  app_encode_app(fun_pname_bool,bool,
13.55/13.71	                                 app_encode_app(fun_fu1430349052l_bool,
13.55/13.71	                                                app_encode_fun(fun_pname_bool,
13.55/13.71	                                                               bool),
13.55/13.71	                                                hAPP_f1664156314l_bool,
13.55/13.71	                                                finite_finite_pname),
13.55/13.71	                                 bot_bo844097828e_bool)))).
13.55/13.71	tff('12', plain,
13.55/13.71	    app_encode_app(bool, $o, hBOOL, 
13.55/13.71	      app_encode_app(fun_pname_bool, bool, 
13.55/13.71	        app_encode_app(fun_fu1430349052l_bool, 
13.55/13.71	          app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
13.55/13.71	          finite_finite_pname), bot_bo844097828e_bool)),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_284])).
13.55/13.71	tff('13', plain,
13.55/13.71	    (~ $true
13.55/13.71	     | app_encode_app(fun_pname_bool, bool, 
13.55/13.71	         app_encode_app(fun_fu1430349052l_bool, 
13.55/13.71	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
13.55/13.71	           finite_finite_pname), bot_bo844097828e_bool)
13.55/13.71	        = fTrue),
13.55/13.71	    inference('sup-', [status(thm)], ['12', '5'])).
13.55/13.71	tff('14', plain,
13.55/13.71	    app_encode_app(fun_pname_bool, bool, 
13.55/13.71	      app_encode_app(fun_fu1430349052l_bool, 
13.55/13.71	        app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
13.55/13.71	        finite_finite_pname), bot_bo844097828e_bool)
13.55/13.71	     = fTrue,
13.55/13.71	    inference('simplify', [status(thm)], ['13'])).
13.55/13.71	tff('15', plain,
13.55/13.71	    hoare_1310879719gleton
13.55/13.71	     = app_encode_app(fun_pname_bool, bool, 
13.55/13.71	         app_encode_app(fun_fu1430349052l_bool, 
13.55/13.71	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
13.55/13.71	           finite_finite_pname), bot_bo844097828e_bool),
13.55/13.71	    inference('sup+', [status(thm)], ['14', '7'])).
13.55/13.71	tff('16', plain,
13.55/13.71	    wT_bodies
13.55/13.71	     = app_encode_app(fun_pname_bool, bool, 
13.55/13.71	         app_encode_app(fun_fu1430349052l_bool, 
13.55/13.71	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
13.55/13.71	           finite_finite_pname), bot_bo844097828e_bool),
13.55/13.71	    inference('demod', [status(thm)], ['11', '15'])).
13.55/13.71	tff('17', plain,
13.55/13.71	    ![X701 : com, X702 : pname]:
13.55/13.71	      (~ $true
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X701))
13.55/13.71	       | app_encode_app(pname, option_com, 
13.55/13.71	           app_encode_app(fun_pname_option_com, 
13.55/13.71	             app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), 
13.55/13.71	           X702)
13.55/13.71	          != app_encode_app(com, option_com, some_com, X701)),
13.55/13.71	    inference('demod', [status(thm)], ['1', '16', '12'])).
13.55/13.71	tff('18', plain,
13.55/13.71	    ![X701 : com, X702 : pname]:
13.55/13.71	      (app_encode_app(pname, option_com, 
13.55/13.71	         app_encode_app(fun_pname_option_com, 
13.55/13.71	           app_encode_fun(pname, option_com), hAPP_p799580910on_com, body), 
13.55/13.71	         X702)
13.55/13.71	        != app_encode_app(com, option_com, some_com, X701)
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X701))),
13.55/13.71	    inference('simplify', [status(thm)], ['17'])).
13.55/13.71	tff('19', plain,
13.55/13.71	    ![X0 : com]:
13.55/13.71	      (app_encode_app(com, option_com, some_com, y)
13.55/13.71	        != app_encode_app(com, option_com, some_com, X0)
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, X0))),
13.55/13.71	    inference('sup-', [status(thm)], ['0', '18'])).
13.55/13.71	tff('20', plain,
13.55/13.71	    app_encode_app(bool, $o, hBOOL, app_encode_app(com, bool, wt, y)),
13.55/13.71	    inference('eq_res', [status(thm)], ['19'])).
13.55/13.71	tff(zf_stmt_344, axiom,
13.55/13.71	  (![C_1:com]:
13.55/13.71	     (app_encode_app(bool,$o,hBOOL,hoare_1310879719gleton) =>
13.55/13.71	      (app_encode_app(bool,$o,hBOOL,wT_bodies) =>
13.55/13.71	       (app_encode_app(bool,$o,hBOOL,app_encode_app(com,bool,wt,C_1)) =>
13.55/13.71	        app_encode_app(bool,$o,hBOOL,
13.55/13.71	                       app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                      app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                     app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                                    bool),
13.55/13.71	                                                     hAPP_f355887345l_bool,
13.55/13.71	                                                     app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                                    fun_fu1783763359l_bool,
13.55/13.71	                                                                    hoare_1193527299_state,
13.55/13.71	                                                                    bot_bo454148287e_bool)),
13.55/13.71	                                      app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                     fun_Ho734851753e_bool,
13.55/13.71	                                                     app_encode_app(hoare_1848483303_state,
13.55/13.71	                                                                    app_encode_fun(
13.55/13.71	                                                                    fun_Ho734851753e_bool,
13.55/13.71	                                                                    fun_Ho734851753e_bool),
13.55/13.71	                                                                    insert668001005_state,
13.55/13.71	                                                                    app_encode_app(
13.55/13.71	                                                                    com,
13.55/13.71	                                                                    hoare_1848483303_state,
13.55/13.71	                                                                    app_encode_app(
13.55/13.71	                                                                    fun_co1814942666_state,
13.55/13.71	                                                                    app_encode_fun(
13.55/13.71	                                                                    com,
13.55/13.71	                                                                    hoare_1848483303_state),
13.55/13.71	                                                                    hAPP_c379084956_state,
13.55/13.71	                                                                    hoare_Mirabelle_MGT),
13.55/13.71	                                                                    C_1)),
13.55/13.71	                                                     bot_bo454148287e_bool)))))))).
13.55/13.71	tff('21', plain,
13.55/13.71	    ![X236 : com]:
13.55/13.71	      (~ app_encode_app(bool, $o, hBOOL, wT_bodies)
13.55/13.71	       | ~ app_encode_app(bool, $o, hBOOL, hoare_1310879719gleton)
13.55/13.71	       | ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	             app_encode_app(com, bool, wt, X236))
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, bot_bo454148287e_bool)), 
13.55/13.71	             app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
13.55/13.71	               app_encode_app(hoare_1848483303_state, 
13.55/13.71	                 app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
13.55/13.71	                 insert668001005_state, 
13.55/13.71	                 app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	                   app_encode_app(fun_co1814942666_state, 
13.55/13.71	                     app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                     hAPP_c379084956_state, hoare_Mirabelle_MGT), X236)), 
13.55/13.71	               bot_bo454148287e_bool)))),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_344])).
13.55/13.71	tff(zf_stmt_525, axiom,
13.55/13.71	  (![A_2:hoare_1848483303_state]:
13.55/13.71	     (app_encode_app(fun_Ho734851753e_bool,fun_Ho734851753e_bool,
13.55/13.71	                     collec1708318610_state,
13.55/13.71	                     app_encode_app(hoare_1848483303_state,
13.55/13.71	                                    fun_Ho734851753e_bool,
13.55/13.71	                                    app_encode_app(fun_Ho1480763635e_bool,
13.55/13.71	                                                   app_encode_fun(hoare_1848483303_state,
13.55/13.71	                                                                  fun_Ho734851753e_bool),
13.55/13.71	                                                   hAPP_H1618070847e_bool,
13.55/13.71	                                                   fequal364418600_state),
13.55/13.71	                                    A_2)) =
13.55/13.71	      app_encode_app(fun_Ho734851753e_bool,fun_Ho734851753e_bool,
13.55/13.71	                     app_encode_app(hoare_1848483303_state,
13.55/13.71	                                    app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                   fun_Ho734851753e_bool),
13.55/13.71	                                    insert668001005_state,A_2),
13.55/13.71	                     bot_bo454148287e_bool)))).
13.55/13.71	tff('22', plain,
13.55/13.71	    ![X696 : hoare_1848483303_state]:
13.55/13.71	      app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
13.55/13.71	        collec1708318610_state, 
13.55/13.71	        app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	          app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	            app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	            hAPP_H1618070847e_bool, fequal364418600_state), X696))
13.55/13.71	       = app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
13.55/13.71	           app_encode_app(hoare_1848483303_state, 
13.55/13.71	             app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
13.55/13.71	             insert668001005_state, X696), bot_bo454148287e_bool),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_525])).
13.55/13.71	tff(zf_stmt_496, axiom,
13.55/13.71	  (![P_1:fun_Ho734851753e_bool]:
13.55/13.71	     (app_encode_app(fun_Ho734851753e_bool,fun_Ho734851753e_bool,
13.55/13.71	                     collec1708318610_state,P_1) =
13.55/13.71	      P_1))).
13.55/13.71	tff('23', plain,
13.55/13.71	    ![X623 : fun_Ho734851753e_bool]:
13.55/13.71	      app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
13.55/13.71	        collec1708318610_state, X623)
13.55/13.71	       = X623,
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_496])).
13.55/13.71	tff('24', plain,
13.55/13.71	    ![X696 : hoare_1848483303_state]:
13.55/13.71	      app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	        app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	          app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	          hAPP_H1618070847e_bool, fequal364418600_state), X696)
13.55/13.71	       = app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
13.55/13.71	           app_encode_app(hoare_1848483303_state, 
13.55/13.71	             app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
13.55/13.71	             insert668001005_state, X696), bot_bo454148287e_bool),
13.55/13.71	    inference('demod', [status(thm)], ['22', '23'])).
13.55/13.71	tff('25', plain,
13.55/13.71	    ![X236 : com]:
13.55/13.71	      (~ $true
13.55/13.71	       | ~ $true
13.55/13.71	       | ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	             app_encode_app(com, bool, wt, X236))
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, bot_bo454148287e_bool)), 
13.55/13.71	             app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	               app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	                 app_encode_fun(hoare_1848483303_state, 
13.55/13.71	                   fun_Ho734851753e_bool), hAPP_H1618070847e_bool, 
13.55/13.71	                 fequal364418600_state), 
13.55/13.71	               app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	                 app_encode_app(fun_co1814942666_state, 
13.55/13.71	                   app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                   hAPP_c379084956_state, hoare_Mirabelle_MGT), X236))))),
13.55/13.71	    inference('demod', [status(thm)], ['21', '16', '12', '15', '12', '24'])).
13.55/13.71	tff('26', plain,
13.55/13.71	    ![X236 : com]:
13.55/13.71	      (app_encode_app(bool, $o, hBOOL, 
13.55/13.71	         app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	           app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	             app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	             hAPP_f355887345l_bool, 
13.55/13.71	             app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	               hoare_1193527299_state, bot_bo454148287e_bool)), 
13.55/13.71	           app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	             app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	               app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	               hAPP_H1618070847e_bool, fequal364418600_state), 
13.55/13.71	             app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	               app_encode_app(fun_co1814942666_state, 
13.55/13.71	                 app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                 hAPP_c379084956_state, hoare_Mirabelle_MGT), X236))))
13.55/13.71	       | ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	             app_encode_app(com, bool, wt, X236))),
13.55/13.71	    inference('simplify', [status(thm)], ['25'])).
13.55/13.71	tff('27', plain,
13.55/13.71	    (~ $true
13.55/13.71	     | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	         app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	           app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	             app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	             hAPP_f355887345l_bool, 
13.55/13.71	             app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	               hoare_1193527299_state, bot_bo454148287e_bool)), 
13.55/13.71	           app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	             app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	               app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	               hAPP_H1618070847e_bool, fequal364418600_state), 
13.55/13.71	             app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	               app_encode_app(fun_co1814942666_state, 
13.55/13.71	                 app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                 hAPP_c379084956_state, hoare_Mirabelle_MGT), y))))),
13.55/13.71	    inference('sup-', [status(thm)], ['20', '26'])).
13.55/13.71	tff('28', plain,
13.55/13.71	    app_encode_app(bool, $o, hBOOL, 
13.55/13.71	      app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	        app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	          app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	          hAPP_f355887345l_bool, 
13.55/13.71	          app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	            hoare_1193527299_state, bot_bo454148287e_bool)), 
13.55/13.71	        app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	          app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	            app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	            hAPP_H1618070847e_bool, fequal364418600_state), 
13.55/13.71	          app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	            app_encode_app(fun_co1814942666_state, 
13.55/13.71	              app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	              hAPP_c379084956_state, hoare_Mirabelle_MGT), y)))),
13.55/13.71	    inference('simplify', [status(thm)], ['27'])).
13.55/13.71	tff(zf_stmt_241, axiom,
13.55/13.71	  (![G:fun_Ho734851753e_bool]:
13.55/13.71	     app_encode_app(bool,$o,hBOOL,
13.55/13.71	                    app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                   app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                  app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                                 bool),
13.55/13.71	                                                  hAPP_f355887345l_bool,
13.55/13.71	                                                  app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                                 fun_fu1783763359l_bool,
13.55/13.71	                                                                 hoare_1193527299_state,
13.55/13.71	                                                                 G)),
13.55/13.71	                                   bot_bo454148287e_bool)))).
13.55/13.71	tff('29', plain,
13.55/13.71	    ![X4 : fun_Ho734851753e_bool]:
13.55/13.71	      app_encode_app(bool, $o, hBOOL, 
13.55/13.71	        app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	          app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	            app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	            hAPP_f355887345l_bool, 
13.55/13.71	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	              hoare_1193527299_state, X4)), bot_bo454148287e_bool)),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_241])).
13.55/13.71	tff(zf_stmt_245, axiom,
13.55/13.71	  (![G:fun_Ho734851753e_bool,G_1:fun_Ho734851753e_bool,
13.55/13.71	     Ts:fun_Ho734851753e_bool]:
13.55/13.71	     (app_encode_app(bool,$o,hBOOL,
13.55/13.71	                     app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                    app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                   app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                                  bool),
13.55/13.71	                                                   hAPP_f355887345l_bool,
13.55/13.71	                                                   app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                                  fun_fu1783763359l_bool,
13.55/13.71	                                                                  hoare_1193527299_state,
13.55/13.71	                                                                  G_1)),
13.55/13.71	                                    Ts)) =>
13.55/13.71	      (app_encode_app(bool,$o,hBOOL,
13.55/13.71	                      app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                     app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                    app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                                   bool),
13.55/13.71	                                                    hAPP_f355887345l_bool,
13.55/13.71	                                                    app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                                   fun_fu1783763359l_bool,
13.55/13.71	                                                                   hoare_1193527299_state,
13.55/13.71	                                                                   G)),
13.55/13.71	                                     G_1)) =>
13.55/13.71	       app_encode_app(bool,$o,hBOOL,
13.55/13.71	                      app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                     app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                    app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                                   bool),
13.55/13.71	                                                    hAPP_f355887345l_bool,
13.55/13.71	                                                    app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                                   fun_fu1783763359l_bool,
13.55/13.71	                                                                   hoare_1193527299_state,
13.55/13.71	                                                                   G)),
13.55/13.71	                                     Ts)))))).
13.55/13.71	tff('30', plain,
13.55/13.71	    ![X13 : fun_Ho734851753e_bool, X14 : fun_Ho734851753e_bool, 
13.55/13.71	      X15 : fun_Ho734851753e_bool]:
13.55/13.71	      (~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, X13)), X14))
13.55/13.71	       | ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	             app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	               app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	                 app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	                 hAPP_f355887345l_bool, 
13.55/13.71	                 app_encode_app(fun_Ho734851753e_bool, 
13.55/13.71	                   fun_fu1783763359l_bool, hoare_1193527299_state, X14)), 
13.55/13.71	               X15))
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, X13)), X15))),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_245])).
13.55/13.71	tff('31', plain,
13.55/13.71	    ![X0 : fun_Ho734851753e_bool, X1 : fun_Ho734851753e_bool]:
13.55/13.71	      (~ $true
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, X0)), X1))
13.55/13.71	       | ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	             app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	               app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	                 app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	                 hAPP_f355887345l_bool, 
13.55/13.71	                 app_encode_app(fun_Ho734851753e_bool, 
13.55/13.71	                   fun_fu1783763359l_bool, hoare_1193527299_state, 
13.55/13.71	                   bot_bo454148287e_bool)), X1))),
13.55/13.71	    inference('sup-', [status(thm)], ['29', '30'])).
13.55/13.71	tff('32', plain,
13.55/13.71	    ![X0 : fun_Ho734851753e_bool, X1 : fun_Ho734851753e_bool]:
13.55/13.71	      (~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, bot_bo454148287e_bool)), X1))
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, X0)), X1))),
13.55/13.71	    inference('simplify', [status(thm)], ['31'])).
13.55/13.71	tff('33', plain,
13.55/13.71	    ![X0 : fun_Ho734851753e_bool]:
13.55/13.71	      (~ $true
13.55/13.71	       | app_encode_app(bool, $o, hBOOL, 
13.55/13.71	           app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	             app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	               app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	               hAPP_f355887345l_bool, 
13.55/13.71	               app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	                 hoare_1193527299_state, X0)), 
13.55/13.71	             app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	               app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	                 app_encode_fun(hoare_1848483303_state, 
13.55/13.71	                   fun_Ho734851753e_bool), hAPP_H1618070847e_bool, 
13.55/13.71	                 fequal364418600_state), 
13.55/13.71	               app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	                 app_encode_app(fun_co1814942666_state, 
13.55/13.71	                   app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                   hAPP_c379084956_state, hoare_Mirabelle_MGT), y))))),
13.55/13.71	    inference('sup-', [status(thm)], ['28', '32'])).
13.55/13.71	tff('34', plain,
13.55/13.71	    ![X0 : fun_Ho734851753e_bool]:
13.55/13.71	      app_encode_app(bool, $o, hBOOL, 
13.55/13.71	        app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	          app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	            app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	            hAPP_f355887345l_bool, 
13.55/13.71	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	              hoare_1193527299_state, X0)), 
13.55/13.71	          app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	            app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	              app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	              hAPP_H1618070847e_bool, fequal364418600_state), 
13.55/13.71	            app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	              app_encode_app(fun_co1814942666_state, 
13.55/13.71	                app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                hAPP_c379084956_state, hoare_Mirabelle_MGT), y)))),
13.55/13.71	    inference('simplify', [status(thm)], ['33'])).
13.55/13.71	tff(zf_stmt_615, conjecture,
13.55/13.71	  (app_encode_app(bool,$o,hBOOL,
13.55/13.71	                  app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                 app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                               bool),
13.55/13.71	                                                hAPP_f355887345l_bool,
13.55/13.71	                                                app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                               fun_fu1783763359l_bool,
13.55/13.71	                                                               hoare_1193527299_state,
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               fun_pname_bool,
13.55/13.71	                                                               fun_Ho734851753e_bool,
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               fun_pn447269700_state,
13.55/13.71	                                                               app_encode_fun(
13.55/13.71	                                                               fun_pname_bool,
13.55/13.71	                                                               fun_Ho734851753e_bool),
13.55/13.71	                                                               image_1256224870_state,
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               fun_pname_com,
13.55/13.71	                                                               fun_pn447269700_state,
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               fun_co1814942666_state,
13.55/13.71	                                                               app_encode_fun(
13.55/13.71	                                                               fun_pname_com,
13.55/13.71	                                                               fun_pn447269700_state),
13.55/13.71	                                                               cOMBB_573322273_pname,
13.55/13.71	                                                               hoare_Mirabelle_MGT),
13.55/13.71	                                                               body_1)),
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               fun_pname_option_com,
13.55/13.71	                                                               fun_pname_bool,
13.55/13.71	                                                               dom_pname_com,
13.55/13.71	                                                               body)))),
13.55/13.71	                                 app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                fun_Ho734851753e_bool,
13.55/13.71	                                                app_encode_app(hoare_1848483303_state,
13.55/13.71	                                                               app_encode_fun(
13.55/13.71	                                                               fun_Ho734851753e_bool,
13.55/13.71	                                                               fun_Ho734851753e_bool),
13.55/13.71	                                                               insert668001005_state,
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               com,
13.55/13.71	                                                               hoare_1848483303_state,
13.55/13.71	                                                               app_encode_app(
13.55/13.71	                                                               fun_co1814942666_state,
13.55/13.71	                                                               app_encode_fun(
13.55/13.71	                                                               com,
13.55/13.71	                                                               hoare_1848483303_state),
13.55/13.71	                                                               hAPP_c379084956_state,
13.55/13.71	                                                               hoare_Mirabelle_MGT),
13.55/13.71	                                                               y)),
13.55/13.71	                                                bot_bo454148287e_bool))))).
13.55/13.71	tff(zf_stmt_0, negated_conjecture,
13.55/13.71	  (~
13.55/13.71	    app_encode_app(bool,$o,hBOOL,
13.55/13.71	                   app_encode_app(fun_Ho734851753e_bool,bool,
13.55/13.71	                                  app_encode_app(fun_fu1783763359l_bool,
13.55/13.71	                                                 app_encode_fun(fun_Ho734851753e_bool,
13.55/13.71	                                                                bool),
13.55/13.71	                                                 hAPP_f355887345l_bool,
13.55/13.71	                                                 app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                                fun_fu1783763359l_bool,
13.55/13.71	                                                                hoare_1193527299_state,
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                fun_pname_bool,
13.55/13.71	                                                                fun_Ho734851753e_bool,
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                fun_pn447269700_state,
13.55/13.71	                                                                app_encode_fun(
13.55/13.71	                                                                fun_pname_bool,
13.55/13.71	                                                                fun_Ho734851753e_bool),
13.55/13.71	                                                                image_1256224870_state,
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                fun_pname_com,
13.55/13.71	                                                                fun_pn447269700_state,
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                fun_co1814942666_state,
13.55/13.71	                                                                app_encode_fun(
13.55/13.71	                                                                fun_pname_com,
13.55/13.71	                                                                fun_pn447269700_state),
13.55/13.71	                                                                cOMBB_573322273_pname,
13.55/13.71	                                                                hoare_Mirabelle_MGT),
13.55/13.71	                                                                body_1)),
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                fun_pname_option_com,
13.55/13.71	                                                                fun_pname_bool,
13.55/13.71	                                                                dom_pname_com,
13.55/13.71	                                                                body)))),
13.55/13.71	                                  app_encode_app(fun_Ho734851753e_bool,
13.55/13.71	                                                 fun_Ho734851753e_bool,
13.55/13.71	                                                 app_encode_app(hoare_1848483303_state,
13.55/13.71	                                                                app_encode_fun(
13.55/13.71	                                                                fun_Ho734851753e_bool,
13.55/13.71	                                                                fun_Ho734851753e_bool),
13.55/13.71	                                                                insert668001005_state,
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                com,
13.55/13.71	                                                                hoare_1848483303_state,
13.55/13.71	                                                                app_encode_app(
13.55/13.71	                                                                fun_co1814942666_state,
13.55/13.71	                                                                app_encode_fun(
13.55/13.71	                                                                com,
13.55/13.71	                                                                hoare_1848483303_state),
13.55/13.71	                                                                hAPP_c379084956_state,
13.55/13.71	                                                                hoare_Mirabelle_MGT),
13.55/13.71	                                                                y)),
13.55/13.71	                                                 bot_bo454148287e_bool))))).
13.55/13.71	tff('35', plain,
13.55/13.71	    ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	        app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	          app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	            app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	            hAPP_f355887345l_bool, 
13.55/13.71	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	              hoare_1193527299_state, 
13.55/13.71	              app_encode_app(fun_pname_bool, fun_Ho734851753e_bool, 
13.55/13.71	                app_encode_app(fun_pn447269700_state, 
13.55/13.71	                  app_encode_fun(fun_pname_bool, fun_Ho734851753e_bool), 
13.55/13.71	                  image_1256224870_state, 
13.55/13.71	                  app_encode_app(fun_pname_com, fun_pn447269700_state, 
13.55/13.71	                    app_encode_app(fun_co1814942666_state, 
13.55/13.71	                      app_encode_fun(fun_pname_com, fun_pn447269700_state), 
13.55/13.71	                      cOMBB_573322273_pname, hoare_Mirabelle_MGT), body_1)), 
13.55/13.71	                app_encode_app(fun_pname_option_com, fun_pname_bool, 
13.55/13.71	                  dom_pname_com, body)))), 
13.55/13.71	          app_encode_app(fun_Ho734851753e_bool, fun_Ho734851753e_bool, 
13.55/13.71	            app_encode_app(hoare_1848483303_state, 
13.55/13.71	              app_encode_fun(fun_Ho734851753e_bool, fun_Ho734851753e_bool), 
13.55/13.71	              insert668001005_state, 
13.55/13.71	              app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	                app_encode_app(fun_co1814942666_state, 
13.55/13.71	                  app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                  hAPP_c379084956_state, hoare_Mirabelle_MGT), y)), 
13.55/13.71	            bot_bo454148287e_bool))),
13.55/13.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
13.55/13.71	tff('36', plain,
13.55/13.71	    ~ app_encode_app(bool, $o, hBOOL, 
13.55/13.71	        app_encode_app(fun_Ho734851753e_bool, bool, 
13.55/13.71	          app_encode_app(fun_fu1783763359l_bool, 
13.55/13.71	            app_encode_fun(fun_Ho734851753e_bool, bool), 
13.55/13.71	            hAPP_f355887345l_bool, 
13.55/13.71	            app_encode_app(fun_Ho734851753e_bool, fun_fu1783763359l_bool, 
13.55/13.71	              hoare_1193527299_state, 
13.55/13.71	              app_encode_app(fun_pname_bool, fun_Ho734851753e_bool, 
13.55/13.71	                app_encode_app(fun_pn447269700_state, 
13.55/13.71	                  app_encode_fun(fun_pname_bool, fun_Ho734851753e_bool), 
13.55/13.71	                  image_1256224870_state, 
13.55/13.71	                  app_encode_app(fun_pname_com, fun_pn447269700_state, 
13.55/13.71	                    app_encode_app(fun_co1814942666_state, 
13.55/13.71	                      app_encode_fun(fun_pname_com, fun_pn447269700_state), 
13.55/13.71	                      cOMBB_573322273_pname, hoare_Mirabelle_MGT), body_1)), 
13.55/13.71	                app_encode_app(fun_pname_option_com, fun_pname_bool, 
13.55/13.71	                  dom_pname_com, body)))), 
13.55/13.71	          app_encode_app(hoare_1848483303_state, fun_Ho734851753e_bool, 
13.55/13.71	            app_encode_app(fun_Ho1480763635e_bool, 
13.55/13.71	              app_encode_fun(hoare_1848483303_state, fun_Ho734851753e_bool), 
13.55/13.71	              hAPP_H1618070847e_bool, fequal364418600_state), 
13.55/13.71	            app_encode_app(com, hoare_1848483303_state, 
13.55/13.71	              app_encode_app(fun_co1814942666_state, 
13.55/13.71	                app_encode_fun(com, hoare_1848483303_state), 
13.55/13.71	                hAPP_c379084956_state, hoare_Mirabelle_MGT), y)))),
13.55/13.71	    inference('demod', [status(thm)], ['35', '24'])).
13.55/13.71	tff('37', plain, ~ $true, inference('sup-', [status(thm)], ['34', '36'])).
13.55/13.71	tff('38', plain, $false, inference('simplify', [status(thm)], ['37'])).
13.55/13.71	
13.55/13.71	% SZS output end Refutation
13.57/13.72	EOF
