0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n177.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:33:38 CST 2018
4.53/4.70	% done 2395 iterations in 4.491s
4.53/4.70	% SZS status Theorem for 'stdin'
4.53/4.70	% SZS output start Refutation
4.53/4.70	tff(zf_stmt_582, axiom,
4.53/4.70	  (![X_2:x_a,A:fun_a_bool,B:fun_a_bool]:
4.53/4.70	     (app_encode_app(bool,$o,hBOOL,
4.53/4.70	                     app_encode_app(fun_a_bool,bool,
4.53/4.70	                                    app_encode_app(fun_fun_a_bool_bool,
4.53/4.70	                                                   app_encode_fun(fun_a_bool,
4.53/4.70	                                                                  bool),
4.53/4.70	                                                   hAPP_fun_a_bool_bool,
4.53/4.70	                                                   app_encode_app(fun_a_bool,
4.53/4.70	                                                                  fun_fun_a_bool_bool,
4.53/4.70	                                                                  app_encode_app(
4.53/4.70	                                                                  fun_fu1471507361l_bool,
4.53/4.70	                                                                  app_encode_fun(
4.53/4.70	                                                                  fun_a_bool,
4.53/4.70	                                                                  fun_fun_a_bool_bool),
4.53/4.71	                                                                  hAPP_f1631501043l_bool,
4.53/4.71	                                                                  ord_le1311769555a_bool),
4.53/4.71	                                                                  app_encode_app(
4.53/4.71	                                                                  fun_a_bool,
4.53/4.71	                                                                  fun_a_bool,
4.53/4.71	                                                                  app_encode_app(
4.53/4.71	                                                                  x_a,
4.53/4.71	                                                                  app_encode_fun(
4.53/4.71	                                                                  fun_a_bool,
4.53/4.71	                                                                  fun_a_bool),
4.53/4.71	                                                                  insert_a,
4.53/4.71	                                                                  X_2),A))),
4.53/4.71	                                    B)) <=>
4.53/4.71	      (app_encode_app(bool,$o,hBOOL,
4.53/4.71	                      app_encode_app(fun_a_bool,bool,
4.53/4.71	                                     app_encode_app(fun_fun_a_bool_bool,
4.53/4.71	                                                    app_encode_fun(fun_a_bool,
4.53/4.71	                                                                   bool),
4.53/4.71	                                                    hAPP_fun_a_bool_bool,
4.53/4.71	                                                    app_encode_app(x_a,
4.53/4.71	                                                                   fun_fun_a_bool_bool,
4.53/4.71	                                                                   app_encode_app(
4.53/4.71	                                                                   fun_a_1255737515l_bool,
4.53/4.71	                                                                   app_encode_fun(
4.53/4.71	                                                                   x_a,
4.53/4.71	                                                                   fun_fun_a_bool_bool),
4.53/4.71	                                                                   hAPP_a85458249l_bool,
4.53/4.71	                                                                   member_a),
4.53/4.71	                                                                   X_2)),
4.53/4.71	                                     B)) & 
4.53/4.71	       app_encode_app(bool,$o,hBOOL,
4.53/4.71	                      app_encode_app(fun_a_bool,bool,
4.53/4.71	                                     app_encode_app(fun_fun_a_bool_bool,
4.53/4.71	                                                    app_encode_fun(fun_a_bool,
4.53/4.71	                                                                   bool),
4.53/4.71	                                                    hAPP_fun_a_bool_bool,
4.53/4.71	                                                    app_encode_app(fun_a_bool,
4.53/4.71	                                                                   fun_fun_a_bool_bool,
4.53/4.71	                                                                   app_encode_app(
4.53/4.71	                                                                   fun_fu1471507361l_bool,
4.53/4.71	                                                                   app_encode_fun(
4.53/4.71	                                                                   fun_a_bool,
4.53/4.71	                                                                   fun_fun_a_bool_bool),
4.53/4.71	                                                                   hAPP_f1631501043l_bool,
4.53/4.71	                                                                   ord_le1311769555a_bool),
4.53/4.71	                                                                   A)),
4.53/4.71	                                     B)))))).
4.53/4.71	tff('0', plain,
4.53/4.71	    ![X619 : x_a, X621 : fun_a_bool, X622 : fun_a_bool]:
4.53/4.71	      (app_encode_app(bool, $o, hBOOL, 
4.53/4.71	         app_encode_app(fun_a_bool, bool, 
4.53/4.71	           app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	             app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	             app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.53/4.71	               app_encode_app(fun_fu1471507361l_bool, 
4.53/4.71	                 app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.53/4.71	                 hAPP_f1631501043l_bool, ord_le1311769555a_bool), 
4.53/4.71	               app_encode_app(fun_a_bool, fun_a_bool, 
4.53/4.71	                 app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.53/4.71	                   insert_a, X619), X621))), X622))
4.53/4.71	       | ~ app_encode_app(bool, $o, hBOOL, 
4.53/4.71	             app_encode_app(fun_a_bool, bool, 
4.53/4.71	               app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	                 app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	                 app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.53/4.71	                   app_encode_app(fun_fu1471507361l_bool, 
4.53/4.71	                     app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.53/4.71	                     hAPP_f1631501043l_bool, ord_le1311769555a_bool), X621)), 
4.53/4.71	               X622))
4.53/4.71	       | ~ app_encode_app(bool, $o, hBOOL, 
4.53/4.71	             app_encode_app(fun_a_bool, bool, 
4.53/4.71	               app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	                 app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	                 app_encode_app(x_a, fun_fun_a_bool_bool, 
4.53/4.71	                   app_encode_app(fun_a_1255737515l_bool, 
4.53/4.71	                     app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.53/4.71	                     hAPP_a85458249l_bool, member_a), X619)), X622))),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_582])).
4.53/4.71	tff(zf_stmt_675, conjecture,
4.53/4.71	  (app_encode_app(bool,$o,hBOOL,
4.53/4.71	                  app_encode_app(fun_a_bool,bool,
4.53/4.71	                                 app_encode_app(fun_fun_a_bool_bool,
4.53/4.71	                                                app_encode_fun(fun_a_bool,
4.53/4.71	                                                               bool),
4.53/4.71	                                                hAPP_fun_a_bool_bool,
4.53/4.71	                                                app_encode_app(fun_a_bool,
4.53/4.71	                                                               fun_fun_a_bool_bool,
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               fun_fu1471507361l_bool,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               fun_a_bool,
4.53/4.71	                                                               fun_fun_a_bool_bool),
4.53/4.71	                                                               hAPP_f1631501043l_bool,
4.53/4.71	                                                               ord_le1311769555a_bool),
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               fun_a_bool,
4.53/4.71	                                                               fun_a_bool,
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               x_a,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               fun_a_bool,
4.53/4.71	                                                               fun_a_bool),
4.53/4.71	                                                               insert_a,
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               pname,x_a,
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               fun_pname_a,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               pname,x_a),
4.53/4.71	                                                               hAPP_pname_a,
4.53/4.71	                                                               mgt_call),pn)),
4.53/4.71	                                                               g))),
4.53/4.71	                                 app_encode_app(fun_pname_bool,fun_a_bool,
4.53/4.71	                                                app_encode_app(fun_pname_a,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               fun_pname_bool,
4.53/4.71	                                                               fun_a_bool),
4.53/4.71	                                                               image_pname_a,
4.53/4.71	                                                               mgt_call),
4.53/4.71	                                                u))))).
4.53/4.71	tff(zf_stmt_0, negated_conjecture,
4.53/4.71	  (~
4.53/4.71	    app_encode_app(bool,$o,hBOOL,
4.53/4.71	                   app_encode_app(fun_a_bool,bool,
4.53/4.71	                                  app_encode_app(fun_fun_a_bool_bool,
4.53/4.71	                                                 app_encode_fun(fun_a_bool,
4.53/4.71	                                                                bool),
4.53/4.71	                                                 hAPP_fun_a_bool_bool,
4.53/4.71	                                                 app_encode_app(fun_a_bool,
4.53/4.71	                                                                fun_fun_a_bool_bool,
4.53/4.71	                                                                app_encode_app(
4.53/4.71	                                                                fun_fu1471507361l_bool,
4.53/4.71	                                                                app_encode_fun(
4.53/4.71	                                                                fun_a_bool,
4.53/4.71	                                                                fun_fun_a_bool_bool),
4.53/4.71	                                                                hAPP_f1631501043l_bool,
4.53/4.71	                                                                ord_le1311769555a_bool),
4.53/4.71	                                                                app_encode_app(
4.53/4.71	                                                                fun_a_bool,
4.53/4.71	                                                                fun_a_bool,
4.53/4.71	                                                                app_encode_app(
4.53/4.71	                                                                x_a,
4.53/4.71	                                                                app_encode_fun(
4.53/4.71	                                                                fun_a_bool,
4.53/4.71	                                                                fun_a_bool),
4.53/4.71	                                                                insert_a,
4.53/4.71	                                                                app_encode_app(
4.53/4.71	                                                                pname,x_a,
4.53/4.71	                                                                app_encode_app(
4.53/4.71	                                                                fun_pname_a,
4.53/4.71	                                                                app_encode_fun(
4.53/4.71	                                                                pname,x_a),
4.53/4.71	                                                                hAPP_pname_a,
4.53/4.71	                                                                mgt_call),pn)),
4.53/4.71	                                                                g))),
4.53/4.71	                                  app_encode_app(fun_pname_bool,fun_a_bool,
4.53/4.71	                                                 app_encode_app(fun_pname_a,
4.53/4.71	                                                                app_encode_fun(
4.53/4.71	                                                                fun_pname_bool,
4.53/4.71	                                                                fun_a_bool),
4.53/4.71	                                                                image_pname_a,
4.53/4.71	                                                                mgt_call),
4.53/4.71	                                                 u))))).
4.53/4.71	tff('1', plain,
4.53/4.71	    ~ app_encode_app(bool, $o, hBOOL, 
4.53/4.71	        app_encode_app(fun_a_bool, bool, 
4.53/4.71	          app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	            app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.53/4.71	              app_encode_app(fun_fu1471507361l_bool, 
4.53/4.71	                app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.53/4.71	                hAPP_f1631501043l_bool, ord_le1311769555a_bool), 
4.53/4.71	              app_encode_app(fun_a_bool, fun_a_bool, 
4.53/4.71	                app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.53/4.71	                  insert_a, 
4.53/4.71	                  app_encode_app(pname, x_a, 
4.53/4.71	                    app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.53/4.71	                      hAPP_pname_a, mgt_call), pn)), g))), 
4.53/4.71	          app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	            app_encode_app(fun_pname_a, 
4.53/4.71	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.53/4.71	              mgt_call), u))),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.53/4.71	tff('2', plain,
4.53/4.71	    (~ $true
4.53/4.71	     | ~ app_encode_app(bool, $o, hBOOL, 
4.53/4.71	           app_encode_app(fun_a_bool, bool, 
4.53/4.71	             app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	               app_encode_app(x_a, fun_fun_a_bool_bool, 
4.53/4.71	                 app_encode_app(fun_a_1255737515l_bool, 
4.53/4.71	                   app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.53/4.71	                   hAPP_a85458249l_bool, member_a), 
4.53/4.71	                 app_encode_app(pname, x_a, 
4.53/4.71	                   app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.53/4.71	                     hAPP_pname_a, mgt_call), pn))), 
4.53/4.71	             app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	               app_encode_app(fun_pname_a, 
4.53/4.71	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.53/4.71	                 mgt_call), u)))
4.53/4.71	     | ~ app_encode_app(bool, $o, hBOOL, 
4.53/4.71	           app_encode_app(fun_a_bool, bool, 
4.53/4.71	             app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	               app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.53/4.71	                 app_encode_app(fun_fu1471507361l_bool, 
4.53/4.71	                   app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.53/4.71	                   hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
4.53/4.71	             app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	               app_encode_app(fun_pname_a, 
4.53/4.71	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.53/4.71	                 mgt_call), u)))),
4.53/4.71	    inference('sup-', [status(thm)], ['0', '1'])).
4.53/4.71	tff(zf_stmt_673, axiom,
4.53/4.71	  (app_encode_app(bool,$o,hBOOL,
4.53/4.71	                  app_encode_app(fun_pname_bool,bool,
4.53/4.71	                                 app_encode_app(fun_fu1430349052l_bool,
4.53/4.71	                                                app_encode_fun(fun_pname_bool,
4.53/4.71	                                                               bool),
4.53/4.71	                                                hAPP_f1664156314l_bool,
4.53/4.71	                                                app_encode_app(pname,
4.53/4.71	                                                               fun_fu1430349052l_bool,
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               fun_pn422929397l_bool,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               pname,
4.53/4.71	                                                               fun_fu1430349052l_bool),
4.53/4.71	                                                               hAPP_p338031245l_bool,
4.53/4.71	                                                               member_pname),
4.53/4.71	                                                               pn)),
4.53/4.71	                                 u)))).
4.53/4.71	tff('3', plain,
4.53/4.71	    app_encode_app(bool, $o, hBOOL, 
4.53/4.71	      app_encode_app(fun_pname_bool, bool, 
4.53/4.71	        app_encode_app(fun_fu1430349052l_bool, 
4.53/4.71	          app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
4.53/4.71	          app_encode_app(pname, fun_fu1430349052l_bool, 
4.53/4.71	            app_encode_app(fun_pn422929397l_bool, 
4.53/4.71	              app_encode_fun(pname, fun_fu1430349052l_bool), 
4.53/4.71	              hAPP_p338031245l_bool, member_pname), pn)), u)),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_673])).
4.53/4.71	tff(zf_stmt_531, axiom,
4.53/4.71	  (![A_1:pname,A:fun_pname_bool]:
4.53/4.71	     (app_encode_app(bool,$o,hBOOL,
4.53/4.71	                     app_encode_app(fun_pname_bool,bool,
4.53/4.71	                                    app_encode_app(fun_fu1430349052l_bool,
4.53/4.71	                                                   app_encode_fun(fun_pname_bool,
4.53/4.71	                                                                  bool),
4.53/4.71	                                                   hAPP_f1664156314l_bool,
4.53/4.71	                                                   app_encode_app(pname,
4.53/4.71	                                                                  fun_fu1430349052l_bool,
4.53/4.71	                                                                  app_encode_app(
4.53/4.71	                                                                  fun_pn422929397l_bool,
4.53/4.71	                                                                  app_encode_fun(
4.53/4.71	                                                                  pname,
4.53/4.71	                                                                  fun_fu1430349052l_bool),
4.53/4.71	                                                                  hAPP_p338031245l_bool,
4.53/4.71	                                                                  member_pname),
4.53/4.71	                                                                  A_1)),
4.53/4.71	                                    A)) =>
4.53/4.71	      (app_encode_app(fun_pname_bool,fun_pname_bool,
4.53/4.71	                      app_encode_app(pname,
4.53/4.71	                                     app_encode_fun(fun_pname_bool,
4.53/4.71	                                                    fun_pname_bool),
4.53/4.71	                                     insert_pname,A_1),
4.53/4.71	                      A) =
4.53/4.71	       A)))).
4.53/4.71	tff('4', plain,
4.53/4.71	    ![X497 : fun_pname_bool, X498 : pname]:
4.53/4.71	      (app_encode_app(fun_pname_bool, fun_pname_bool, 
4.53/4.71	         app_encode_app(pname, 
4.53/4.71	           app_encode_fun(fun_pname_bool, fun_pname_bool), insert_pname, 
4.53/4.71	           X498), X497)
4.53/4.71	        = X497
4.53/4.71	       | ~ app_encode_app(bool, $o, hBOOL, 
4.53/4.71	             app_encode_app(fun_pname_bool, bool, 
4.53/4.71	               app_encode_app(fun_fu1430349052l_bool, 
4.53/4.71	                 app_encode_fun(fun_pname_bool, bool), 
4.53/4.71	                 hAPP_f1664156314l_bool, 
4.53/4.71	                 app_encode_app(pname, fun_fu1430349052l_bool, 
4.53/4.71	                   app_encode_app(fun_pn422929397l_bool, 
4.53/4.71	                     app_encode_fun(pname, fun_fu1430349052l_bool), 
4.53/4.71	                     hAPP_p338031245l_bool, member_pname), X498)), X497))),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_531])).
4.53/4.71	tff('5', plain,
4.53/4.71	    (~ $true
4.53/4.71	     | app_encode_app(fun_pname_bool, fun_pname_bool, 
4.53/4.71	         app_encode_app(pname, 
4.53/4.71	           app_encode_fun(fun_pname_bool, fun_pname_bool), insert_pname, pn), 
4.53/4.71	         u)
4.53/4.71	        = u),
4.53/4.71	    inference('sup-', [status(thm)], ['3', '4'])).
4.53/4.71	tff('6', plain,
4.53/4.71	    app_encode_app(fun_pname_bool, fun_pname_bool, 
4.53/4.71	      app_encode_app(pname, app_encode_fun(fun_pname_bool, fun_pname_bool), 
4.53/4.71	        insert_pname, pn), u)
4.53/4.71	     = u,
4.53/4.71	    inference('simplify', [status(thm)], ['5'])).
4.53/4.71	tff(zf_stmt_592, axiom,
4.53/4.71	  (![F:fun_pname_a,A_1:pname,B:fun_pname_bool]:
4.53/4.71	     (app_encode_app(fun_pname_bool,fun_a_bool,
4.53/4.71	                     app_encode_app(fun_pname_a,
4.53/4.71	                                    app_encode_fun(fun_pname_bool,fun_a_bool),
4.53/4.71	                                    image_pname_a,F),
4.53/4.71	                     app_encode_app(fun_pname_bool,fun_pname_bool,
4.53/4.71	                                    app_encode_app(pname,
4.53/4.71	                                                   app_encode_fun(fun_pname_bool,
4.53/4.71	                                                                  fun_pname_bool),
4.53/4.71	                                                   insert_pname,A_1),
4.53/4.71	                                    B)) =
4.53/4.71	      app_encode_app(fun_a_bool,fun_a_bool,
4.53/4.71	                     app_encode_app(x_a,
4.53/4.71	                                    app_encode_fun(fun_a_bool,fun_a_bool),
4.53/4.71	                                    insert_a,
4.53/4.71	                                    app_encode_app(pname,x_a,
4.53/4.71	                                                   app_encode_app(fun_pname_a,
4.53/4.71	                                                                  app_encode_fun(
4.53/4.71	                                                                  pname,x_a),
4.53/4.71	                                                                  hAPP_pname_a,
4.53/4.71	                                                                  F),
4.53/4.71	                                                   A_1)),
4.53/4.71	                     app_encode_app(fun_pname_bool,fun_a_bool,
4.53/4.71	                                    app_encode_app(fun_pname_a,
4.53/4.71	                                                   app_encode_fun(fun_pname_bool,
4.53/4.71	                                                                  fun_a_bool),
4.53/4.71	                                                   image_pname_a,F),
4.53/4.71	                                    B))))).
4.53/4.71	tff('7', plain,
4.53/4.71	    ![X650 : fun_pname_a, X651 : pname, X652 : fun_pname_bool]:
4.53/4.71	      app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	        app_encode_app(fun_pname_a, 
4.53/4.71	          app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, X650), 
4.53/4.71	        app_encode_app(fun_pname_bool, fun_pname_bool, 
4.53/4.71	          app_encode_app(pname, 
4.53/4.71	            app_encode_fun(fun_pname_bool, fun_pname_bool), insert_pname, 
4.53/4.71	            X651), X652))
4.53/4.71	       = app_encode_app(fun_a_bool, fun_a_bool, 
4.53/4.71	           app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.53/4.71	             insert_a, 
4.53/4.71	             app_encode_app(pname, x_a, 
4.53/4.71	               app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.53/4.71	                 hAPP_pname_a, X650), X651)), 
4.53/4.71	           app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	             app_encode_app(fun_pname_a, 
4.53/4.71	               app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.53/4.71	               X650), X652)),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_592])).
4.53/4.71	tff(zf_stmt_499, axiom,
4.53/4.71	  (![A_1:x_a,B:fun_a_bool]:
4.53/4.71	     app_encode_app(bool,$o,hBOOL,
4.53/4.71	                    app_encode_app(fun_a_bool,bool,
4.53/4.71	                                   app_encode_app(fun_fun_a_bool_bool,
4.53/4.71	                                                  app_encode_fun(fun_a_bool,
4.53/4.71	                                                                 bool),
4.53/4.71	                                                  hAPP_fun_a_bool_bool,
4.53/4.71	                                                  app_encode_app(x_a,
4.53/4.71	                                                                 fun_fun_a_bool_bool,
4.53/4.71	                                                                 app_encode_app(
4.53/4.71	                                                                 fun_a_1255737515l_bool,
4.53/4.71	                                                                 app_encode_fun(
4.53/4.71	                                                                 x_a,
4.53/4.71	                                                                 fun_fun_a_bool_bool),
4.53/4.71	                                                                 hAPP_a85458249l_bool,
4.53/4.71	                                                                 member_a),
4.53/4.71	                                                                 A_1)),
4.53/4.71	                                   app_encode_app(fun_a_bool,fun_a_bool,
4.53/4.71	                                                  app_encode_app(x_a,
4.53/4.71	                                                                 app_encode_fun(
4.53/4.71	                                                                 fun_a_bool,
4.53/4.71	                                                                 fun_a_bool),
4.53/4.71	                                                                 insert_a,A_1),
4.53/4.71	                                                  B))))).
4.53/4.71	tff('8', plain,
4.53/4.71	    ![X412 : x_a, X413 : fun_a_bool]:
4.53/4.71	      app_encode_app(bool, $o, hBOOL, 
4.53/4.71	        app_encode_app(fun_a_bool, bool, 
4.53/4.71	          app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	            app_encode_app(x_a, fun_fun_a_bool_bool, 
4.53/4.71	              app_encode_app(fun_a_1255737515l_bool, 
4.53/4.71	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.53/4.71	                hAPP_a85458249l_bool, member_a), X412)), 
4.53/4.71	          app_encode_app(fun_a_bool, fun_a_bool, 
4.53/4.71	            app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.53/4.71	              insert_a, X412), X413))),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_499])).
4.53/4.71	tff('9', plain,
4.53/4.71	    ![X0 : fun_pname_bool, X1 : pname, X2 : fun_pname_a]:
4.53/4.71	      app_encode_app(bool, $o, hBOOL, 
4.53/4.71	        app_encode_app(fun_a_bool, bool, 
4.53/4.71	          app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	            app_encode_app(x_a, fun_fun_a_bool_bool, 
4.53/4.71	              app_encode_app(fun_a_1255737515l_bool, 
4.53/4.71	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.53/4.71	                hAPP_a85458249l_bool, member_a), 
4.53/4.71	              app_encode_app(pname, x_a, 
4.53/4.71	                app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.53/4.71	                  hAPP_pname_a, X2), X1))), 
4.53/4.71	          app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	            app_encode_app(fun_pname_a, 
4.53/4.71	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, X2), 
4.53/4.71	            app_encode_app(fun_pname_bool, fun_pname_bool, 
4.53/4.71	              app_encode_app(pname, 
4.53/4.71	                app_encode_fun(fun_pname_bool, fun_pname_bool), 
4.53/4.71	                insert_pname, X1), X0)))),
4.53/4.71	    inference('sup+', [status(thm)], ['7', '8'])).
4.53/4.71	tff('10', plain,
4.53/4.71	    ![X0 : fun_pname_a]:
4.53/4.71	      app_encode_app(bool, $o, hBOOL, 
4.53/4.71	        app_encode_app(fun_a_bool, bool, 
4.53/4.71	          app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	            app_encode_app(x_a, fun_fun_a_bool_bool, 
4.53/4.71	              app_encode_app(fun_a_1255737515l_bool, 
4.53/4.71	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.53/4.71	                hAPP_a85458249l_bool, member_a), 
4.53/4.71	              app_encode_app(pname, x_a, 
4.53/4.71	                app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.53/4.71	                  hAPP_pname_a, X0), pn))), 
4.53/4.71	          app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	            app_encode_app(fun_pname_a, 
4.53/4.71	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, X0), 
4.53/4.71	            u))),
4.53/4.71	    inference('sup+', [status(thm)], ['6', '9'])).
4.53/4.71	tff(zf_stmt_670, axiom,
4.53/4.71	  (app_encode_app(bool,$o,hBOOL,
4.53/4.71	                  app_encode_app(fun_a_bool,bool,
4.53/4.71	                                 app_encode_app(fun_fun_a_bool_bool,
4.53/4.71	                                                app_encode_fun(fun_a_bool,
4.53/4.71	                                                               bool),
4.53/4.71	                                                hAPP_fun_a_bool_bool,
4.53/4.71	                                                app_encode_app(fun_a_bool,
4.53/4.71	                                                               fun_fun_a_bool_bool,
4.53/4.71	                                                               app_encode_app(
4.53/4.71	                                                               fun_fu1471507361l_bool,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               fun_a_bool,
4.53/4.71	                                                               fun_fun_a_bool_bool),
4.53/4.71	                                                               hAPP_f1631501043l_bool,
4.53/4.71	                                                               ord_le1311769555a_bool),
4.53/4.71	                                                               g)),
4.53/4.71	                                 app_encode_app(fun_pname_bool,fun_a_bool,
4.53/4.71	                                                app_encode_app(fun_pname_a,
4.53/4.71	                                                               app_encode_fun(
4.53/4.71	                                                               fun_pname_bool,
4.53/4.71	                                                               fun_a_bool),
4.53/4.71	                                                               image_pname_a,
4.53/4.71	                                                               mgt_call),
4.53/4.71	                                                u))))).
4.53/4.71	tff('11', plain,
4.53/4.71	    app_encode_app(bool, $o, hBOOL, 
4.53/4.71	      app_encode_app(fun_a_bool, bool, 
4.53/4.71	        app_encode_app(fun_fun_a_bool_bool, 
4.53/4.71	          app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.53/4.71	          app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.53/4.71	            app_encode_app(fun_fu1471507361l_bool, 
4.53/4.71	              app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.53/4.71	              hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
4.53/4.71	        app_encode_app(fun_pname_bool, fun_a_bool, 
4.53/4.71	          app_encode_app(fun_pname_a, 
4.53/4.71	            app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.53/4.71	            mgt_call), u))),
4.53/4.71	    inference('cnf', [status(esa)], [zf_stmt_670])).
4.53/4.71	tff('12', plain, (~ $true | ~ $true | ~ $true),
4.53/4.71	    inference('demod', [status(thm)], ['2', '10', '11'])).
4.53/4.71	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
4.53/4.71	
4.53/4.71	% SZS output end Refutation
4.53/4.71	EOF
