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    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n037.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 09:33:38 CST 2018
4.29/4.46	% done 2389 iterations in 4.264s
4.29/4.46	% SZS status Theorem for 'stdin'
4.29/4.46	% SZS output start Refutation
4.29/4.46	tff(zf_stmt_581, axiom,
4.29/4.46	  (![X_2:x_a,A:fun_a_bool,B:fun_a_bool]:
4.29/4.46	     (app_encode_app(bool,$o,hBOOL,
4.29/4.46	                     app_encode_app(fun_a_bool,bool,
4.29/4.46	                                    app_encode_app(fun_fun_a_bool_bool,
4.29/4.46	                                                   app_encode_fun(fun_a_bool,
4.29/4.46	                                                                  bool),
4.29/4.46	                                                   hAPP_fun_a_bool_bool,
4.29/4.46	                                                   app_encode_app(fun_a_bool,
4.29/4.46	                                                                  fun_fun_a_bool_bool,
4.29/4.46	                                                                  app_encode_app(
4.29/4.46	                                                                  fun_fu1471507361l_bool,
4.29/4.46	                                                                  app_encode_fun(
4.29/4.46	                                                                  fun_a_bool,
4.29/4.46	                                                                  fun_fun_a_bool_bool),
4.29/4.46	                                                                  hAPP_f1631501043l_bool,
4.29/4.46	                                                                  ord_le1311769555a_bool),
4.29/4.46	                                                                  app_encode_app(
4.29/4.46	                                                                  fun_a_bool,
4.29/4.46	                                                                  fun_a_bool,
4.29/4.46	                                                                  app_encode_app(
4.29/4.46	                                                                  x_a,
4.29/4.46	                                                                  app_encode_fun(
4.29/4.46	                                                                  fun_a_bool,
4.29/4.46	                                                                  fun_a_bool),
4.29/4.46	                                                                  insert_a,
4.29/4.46	                                                                  X_2),A))),
4.29/4.46	                                    B)) <=>
4.29/4.46	      (app_encode_app(bool,$o,hBOOL,
4.29/4.46	                      app_encode_app(fun_a_bool,bool,
4.29/4.46	                                     app_encode_app(fun_fun_a_bool_bool,
4.29/4.46	                                                    app_encode_fun(fun_a_bool,
4.29/4.46	                                                                   bool),
4.29/4.46	                                                    hAPP_fun_a_bool_bool,
4.29/4.46	                                                    app_encode_app(x_a,
4.29/4.46	                                                                   fun_fun_a_bool_bool,
4.29/4.46	                                                                   app_encode_app(
4.29/4.46	                                                                   fun_a_1255737515l_bool,
4.29/4.46	                                                                   app_encode_fun(
4.29/4.46	                                                                   x_a,
4.29/4.46	                                                                   fun_fun_a_bool_bool),
4.29/4.46	                                                                   hAPP_a85458249l_bool,
4.29/4.47	                                                                   member_a),
4.29/4.47	                                                                   X_2)),
4.29/4.47	                                     B)) & 
4.29/4.47	       app_encode_app(bool,$o,hBOOL,
4.29/4.47	                      app_encode_app(fun_a_bool,bool,
4.29/4.47	                                     app_encode_app(fun_fun_a_bool_bool,
4.29/4.47	                                                    app_encode_fun(fun_a_bool,
4.29/4.47	                                                                   bool),
4.29/4.47	                                                    hAPP_fun_a_bool_bool,
4.29/4.47	                                                    app_encode_app(fun_a_bool,
4.29/4.47	                                                                   fun_fun_a_bool_bool,
4.29/4.47	                                                                   app_encode_app(
4.29/4.47	                                                                   fun_fu1471507361l_bool,
4.29/4.47	                                                                   app_encode_fun(
4.29/4.47	                                                                   fun_a_bool,
4.29/4.47	                                                                   fun_fun_a_bool_bool),
4.29/4.47	                                                                   hAPP_f1631501043l_bool,
4.29/4.47	                                                                   ord_le1311769555a_bool),
4.29/4.47	                                                                   A)),
4.29/4.47	                                     B)))))).
4.29/4.47	tff('0', plain,
4.29/4.47	    ![X615 : x_a, X617 : fun_a_bool, X618 : fun_a_bool]:
4.29/4.47	      (app_encode_app(bool, $o, hBOOL, 
4.29/4.47	         app_encode_app(fun_a_bool, bool, 
4.29/4.47	           app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	             app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	             app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.29/4.47	               app_encode_app(fun_fu1471507361l_bool, 
4.29/4.47	                 app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.29/4.47	                 hAPP_f1631501043l_bool, ord_le1311769555a_bool), 
4.29/4.47	               app_encode_app(fun_a_bool, fun_a_bool, 
4.29/4.47	                 app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.29/4.47	                   insert_a, X615), X617))), X618))
4.29/4.47	       | ~ app_encode_app(bool, $o, hBOOL, 
4.29/4.47	             app_encode_app(fun_a_bool, bool, 
4.29/4.47	               app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	                 app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	                 app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.29/4.47	                   app_encode_app(fun_fu1471507361l_bool, 
4.29/4.47	                     app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.29/4.47	                     hAPP_f1631501043l_bool, ord_le1311769555a_bool), X617)), 
4.29/4.47	               X618))
4.29/4.47	       | ~ app_encode_app(bool, $o, hBOOL, 
4.29/4.47	             app_encode_app(fun_a_bool, bool, 
4.29/4.47	               app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	                 app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	                 app_encode_app(x_a, fun_fun_a_bool_bool, 
4.29/4.47	                   app_encode_app(fun_a_1255737515l_bool, 
4.29/4.47	                     app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.29/4.47	                     hAPP_a85458249l_bool, member_a), X615)), X618))),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_581])).
4.29/4.47	tff(zf_stmt_674, conjecture,
4.29/4.47	  (app_encode_app(bool,$o,hBOOL,
4.29/4.47	                  app_encode_app(fun_a_bool,bool,
4.29/4.47	                                 app_encode_app(fun_fun_a_bool_bool,
4.29/4.47	                                                app_encode_fun(fun_a_bool,
4.29/4.47	                                                               bool),
4.29/4.47	                                                hAPP_fun_a_bool_bool,
4.29/4.47	                                                app_encode_app(fun_a_bool,
4.29/4.47	                                                               fun_fun_a_bool_bool,
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               fun_fu1471507361l_bool,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               fun_a_bool,
4.29/4.47	                                                               fun_fun_a_bool_bool),
4.29/4.47	                                                               hAPP_f1631501043l_bool,
4.29/4.47	                                                               ord_le1311769555a_bool),
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               fun_a_bool,
4.29/4.47	                                                               fun_a_bool,
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               x_a,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               fun_a_bool,
4.29/4.47	                                                               fun_a_bool),
4.29/4.47	                                                               insert_a,
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               pname,x_a,
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               fun_pname_a,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               pname,x_a),
4.29/4.47	                                                               hAPP_pname_a,
4.29/4.47	                                                               mgt_call),pn)),
4.29/4.47	                                                               g))),
4.29/4.47	                                 app_encode_app(fun_pname_bool,fun_a_bool,
4.29/4.47	                                                app_encode_app(fun_pname_a,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               fun_pname_bool,
4.29/4.47	                                                               fun_a_bool),
4.29/4.47	                                                               image_pname_a,
4.29/4.47	                                                               mgt_call),
4.29/4.47	                                                u))))).
4.29/4.47	tff(zf_stmt_0, negated_conjecture,
4.29/4.47	  (~
4.29/4.47	    app_encode_app(bool,$o,hBOOL,
4.29/4.47	                   app_encode_app(fun_a_bool,bool,
4.29/4.47	                                  app_encode_app(fun_fun_a_bool_bool,
4.29/4.47	                                                 app_encode_fun(fun_a_bool,
4.29/4.47	                                                                bool),
4.29/4.47	                                                 hAPP_fun_a_bool_bool,
4.29/4.47	                                                 app_encode_app(fun_a_bool,
4.29/4.47	                                                                fun_fun_a_bool_bool,
4.29/4.47	                                                                app_encode_app(
4.29/4.47	                                                                fun_fu1471507361l_bool,
4.29/4.47	                                                                app_encode_fun(
4.29/4.47	                                                                fun_a_bool,
4.29/4.47	                                                                fun_fun_a_bool_bool),
4.29/4.47	                                                                hAPP_f1631501043l_bool,
4.29/4.47	                                                                ord_le1311769555a_bool),
4.29/4.47	                                                                app_encode_app(
4.29/4.47	                                                                fun_a_bool,
4.29/4.47	                                                                fun_a_bool,
4.29/4.47	                                                                app_encode_app(
4.29/4.47	                                                                x_a,
4.29/4.47	                                                                app_encode_fun(
4.29/4.47	                                                                fun_a_bool,
4.29/4.47	                                                                fun_a_bool),
4.29/4.47	                                                                insert_a,
4.29/4.47	                                                                app_encode_app(
4.29/4.47	                                                                pname,x_a,
4.29/4.47	                                                                app_encode_app(
4.29/4.47	                                                                fun_pname_a,
4.29/4.47	                                                                app_encode_fun(
4.29/4.47	                                                                pname,x_a),
4.29/4.47	                                                                hAPP_pname_a,
4.29/4.47	                                                                mgt_call),pn)),
4.29/4.47	                                                                g))),
4.29/4.47	                                  app_encode_app(fun_pname_bool,fun_a_bool,
4.29/4.47	                                                 app_encode_app(fun_pname_a,
4.29/4.47	                                                                app_encode_fun(
4.29/4.47	                                                                fun_pname_bool,
4.29/4.47	                                                                fun_a_bool),
4.29/4.47	                                                                image_pname_a,
4.29/4.47	                                                                mgt_call),
4.29/4.47	                                                 u))))).
4.29/4.47	tff('1', plain,
4.29/4.47	    ~ app_encode_app(bool, $o, hBOOL, 
4.29/4.47	        app_encode_app(fun_a_bool, bool, 
4.29/4.47	          app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	            app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.29/4.47	              app_encode_app(fun_fu1471507361l_bool, 
4.29/4.47	                app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.29/4.47	                hAPP_f1631501043l_bool, ord_le1311769555a_bool), 
4.29/4.47	              app_encode_app(fun_a_bool, fun_a_bool, 
4.29/4.47	                app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.29/4.47	                  insert_a, 
4.29/4.47	                  app_encode_app(pname, x_a, 
4.29/4.47	                    app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.29/4.47	                      hAPP_pname_a, mgt_call), pn)), g))), 
4.29/4.47	          app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	            app_encode_app(fun_pname_a, 
4.29/4.47	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.29/4.47	              mgt_call), u))),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.29/4.47	tff('2', plain,
4.29/4.47	    (~ $true
4.29/4.47	     | ~ app_encode_app(bool, $o, hBOOL, 
4.29/4.47	           app_encode_app(fun_a_bool, bool, 
4.29/4.47	             app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	               app_encode_app(x_a, fun_fun_a_bool_bool, 
4.29/4.47	                 app_encode_app(fun_a_1255737515l_bool, 
4.29/4.47	                   app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.29/4.47	                   hAPP_a85458249l_bool, member_a), 
4.29/4.47	                 app_encode_app(pname, x_a, 
4.29/4.47	                   app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.29/4.47	                     hAPP_pname_a, mgt_call), pn))), 
4.29/4.47	             app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	               app_encode_app(fun_pname_a, 
4.29/4.47	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.29/4.47	                 mgt_call), u)))
4.29/4.47	     | ~ app_encode_app(bool, $o, hBOOL, 
4.29/4.47	           app_encode_app(fun_a_bool, bool, 
4.29/4.47	             app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	               app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.29/4.47	                 app_encode_app(fun_fu1471507361l_bool, 
4.29/4.47	                   app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.29/4.47	                   hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
4.29/4.47	             app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	               app_encode_app(fun_pname_a, 
4.29/4.47	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.29/4.47	                 mgt_call), u)))),
4.29/4.47	    inference('sup-', [status(thm)], ['0', '1'])).
4.29/4.47	tff(zf_stmt_672, axiom,
4.29/4.47	  (app_encode_app(bool,$o,hBOOL,
4.29/4.47	                  app_encode_app(fun_pname_bool,bool,
4.29/4.47	                                 app_encode_app(fun_fu1430349052l_bool,
4.29/4.47	                                                app_encode_fun(fun_pname_bool,
4.29/4.47	                                                               bool),
4.29/4.47	                                                hAPP_f1664156314l_bool,
4.29/4.47	                                                app_encode_app(pname,
4.29/4.47	                                                               fun_fu1430349052l_bool,
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               fun_pn422929397l_bool,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               pname,
4.29/4.47	                                                               fun_fu1430349052l_bool),
4.29/4.47	                                                               hAPP_p338031245l_bool,
4.29/4.47	                                                               member_pname),
4.29/4.47	                                                               pn)),
4.29/4.47	                                 u)))).
4.29/4.47	tff('3', plain,
4.29/4.47	    app_encode_app(bool, $o, hBOOL, 
4.29/4.47	      app_encode_app(fun_pname_bool, bool, 
4.29/4.47	        app_encode_app(fun_fu1430349052l_bool, 
4.29/4.47	          app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
4.29/4.47	          app_encode_app(pname, fun_fu1430349052l_bool, 
4.29/4.47	            app_encode_app(fun_pn422929397l_bool, 
4.29/4.47	              app_encode_fun(pname, fun_fu1430349052l_bool), 
4.29/4.47	              hAPP_p338031245l_bool, member_pname), pn)), u)),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_672])).
4.29/4.47	tff(zf_stmt_530, axiom,
4.29/4.47	  (![A_1:pname,A:fun_pname_bool]:
4.29/4.47	     (app_encode_app(bool,$o,hBOOL,
4.29/4.47	                     app_encode_app(fun_pname_bool,bool,
4.29/4.47	                                    app_encode_app(fun_fu1430349052l_bool,
4.29/4.47	                                                   app_encode_fun(fun_pname_bool,
4.29/4.47	                                                                  bool),
4.29/4.47	                                                   hAPP_f1664156314l_bool,
4.29/4.47	                                                   app_encode_app(pname,
4.29/4.47	                                                                  fun_fu1430349052l_bool,
4.29/4.47	                                                                  app_encode_app(
4.29/4.47	                                                                  fun_pn422929397l_bool,
4.29/4.47	                                                                  app_encode_fun(
4.29/4.47	                                                                  pname,
4.29/4.47	                                                                  fun_fu1430349052l_bool),
4.29/4.47	                                                                  hAPP_p338031245l_bool,
4.29/4.47	                                                                  member_pname),
4.29/4.47	                                                                  A_1)),
4.29/4.47	                                    A)) =>
4.29/4.47	      (app_encode_app(fun_pname_bool,fun_pname_bool,
4.29/4.47	                      app_encode_app(pname,
4.29/4.47	                                     app_encode_fun(fun_pname_bool,
4.29/4.47	                                                    fun_pname_bool),
4.29/4.47	                                     insert_pname,A_1),
4.29/4.47	                      A) =
4.29/4.47	       A)))).
4.29/4.47	tff('4', plain,
4.29/4.47	    ![X493 : fun_pname_bool, X494 : pname]:
4.29/4.47	      (app_encode_app(fun_pname_bool, fun_pname_bool, 
4.29/4.47	         app_encode_app(pname, 
4.29/4.47	           app_encode_fun(fun_pname_bool, fun_pname_bool), insert_pname, 
4.29/4.47	           X494), X493)
4.29/4.47	        = X493
4.29/4.47	       | ~ app_encode_app(bool, $o, hBOOL, 
4.29/4.47	             app_encode_app(fun_pname_bool, bool, 
4.29/4.47	               app_encode_app(fun_fu1430349052l_bool, 
4.29/4.47	                 app_encode_fun(fun_pname_bool, bool), 
4.29/4.47	                 hAPP_f1664156314l_bool, 
4.29/4.47	                 app_encode_app(pname, fun_fu1430349052l_bool, 
4.29/4.47	                   app_encode_app(fun_pn422929397l_bool, 
4.29/4.47	                     app_encode_fun(pname, fun_fu1430349052l_bool), 
4.29/4.47	                     hAPP_p338031245l_bool, member_pname), X494)), X493))),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_530])).
4.29/4.47	tff('5', plain,
4.29/4.47	    (~ $true
4.29/4.47	     | app_encode_app(fun_pname_bool, fun_pname_bool, 
4.29/4.47	         app_encode_app(pname, 
4.29/4.47	           app_encode_fun(fun_pname_bool, fun_pname_bool), insert_pname, pn), 
4.29/4.47	         u)
4.29/4.47	        = u),
4.29/4.47	    inference('sup-', [status(thm)], ['3', '4'])).
4.29/4.47	tff('6', plain,
4.29/4.47	    app_encode_app(fun_pname_bool, fun_pname_bool, 
4.29/4.47	      app_encode_app(pname, app_encode_fun(fun_pname_bool, fun_pname_bool), 
4.29/4.47	        insert_pname, pn), u)
4.29/4.47	     = u,
4.29/4.47	    inference('simplify', [status(thm)], ['5'])).
4.29/4.47	tff(zf_stmt_591, axiom,
4.29/4.47	  (![F:fun_pname_a,A_1:pname,B:fun_pname_bool]:
4.29/4.47	     (app_encode_app(fun_pname_bool,fun_a_bool,
4.29/4.47	                     app_encode_app(fun_pname_a,
4.29/4.47	                                    app_encode_fun(fun_pname_bool,fun_a_bool),
4.29/4.47	                                    image_pname_a,F),
4.29/4.47	                     app_encode_app(fun_pname_bool,fun_pname_bool,
4.29/4.47	                                    app_encode_app(pname,
4.29/4.47	                                                   app_encode_fun(fun_pname_bool,
4.29/4.47	                                                                  fun_pname_bool),
4.29/4.47	                                                   insert_pname,A_1),
4.29/4.47	                                    B)) =
4.29/4.47	      app_encode_app(fun_a_bool,fun_a_bool,
4.29/4.47	                     app_encode_app(x_a,
4.29/4.47	                                    app_encode_fun(fun_a_bool,fun_a_bool),
4.29/4.47	                                    insert_a,
4.29/4.47	                                    app_encode_app(pname,x_a,
4.29/4.47	                                                   app_encode_app(fun_pname_a,
4.29/4.47	                                                                  app_encode_fun(
4.29/4.47	                                                                  pname,x_a),
4.29/4.47	                                                                  hAPP_pname_a,
4.29/4.47	                                                                  F),
4.29/4.47	                                                   A_1)),
4.29/4.47	                     app_encode_app(fun_pname_bool,fun_a_bool,
4.29/4.47	                                    app_encode_app(fun_pname_a,
4.29/4.47	                                                   app_encode_fun(fun_pname_bool,
4.29/4.47	                                                                  fun_a_bool),
4.29/4.47	                                                   image_pname_a,F),
4.29/4.47	                                    B))))).
4.29/4.47	tff('7', plain,
4.29/4.47	    ![X646 : fun_pname_a, X647 : pname, X648 : fun_pname_bool]:
4.29/4.47	      app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	        app_encode_app(fun_pname_a, 
4.29/4.47	          app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, X646), 
4.29/4.47	        app_encode_app(fun_pname_bool, fun_pname_bool, 
4.29/4.47	          app_encode_app(pname, 
4.29/4.47	            app_encode_fun(fun_pname_bool, fun_pname_bool), insert_pname, 
4.29/4.47	            X647), X648))
4.29/4.47	       = app_encode_app(fun_a_bool, fun_a_bool, 
4.29/4.47	           app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.29/4.47	             insert_a, 
4.29/4.47	             app_encode_app(pname, x_a, 
4.29/4.47	               app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.29/4.47	                 hAPP_pname_a, X646), X647)), 
4.29/4.47	           app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	             app_encode_app(fun_pname_a, 
4.29/4.47	               app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.29/4.47	               X646), X648)),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_591])).
4.29/4.47	tff(zf_stmt_498, axiom,
4.29/4.47	  (![A_1:x_a,B:fun_a_bool]:
4.29/4.47	     app_encode_app(bool,$o,hBOOL,
4.29/4.47	                    app_encode_app(fun_a_bool,bool,
4.29/4.47	                                   app_encode_app(fun_fun_a_bool_bool,
4.29/4.47	                                                  app_encode_fun(fun_a_bool,
4.29/4.47	                                                                 bool),
4.29/4.47	                                                  hAPP_fun_a_bool_bool,
4.29/4.47	                                                  app_encode_app(x_a,
4.29/4.47	                                                                 fun_fun_a_bool_bool,
4.29/4.47	                                                                 app_encode_app(
4.29/4.47	                                                                 fun_a_1255737515l_bool,
4.29/4.47	                                                                 app_encode_fun(
4.29/4.47	                                                                 x_a,
4.29/4.47	                                                                 fun_fun_a_bool_bool),
4.29/4.47	                                                                 hAPP_a85458249l_bool,
4.29/4.47	                                                                 member_a),
4.29/4.47	                                                                 A_1)),
4.29/4.47	                                   app_encode_app(fun_a_bool,fun_a_bool,
4.29/4.47	                                                  app_encode_app(x_a,
4.29/4.47	                                                                 app_encode_fun(
4.29/4.47	                                                                 fun_a_bool,
4.29/4.47	                                                                 fun_a_bool),
4.29/4.47	                                                                 insert_a,A_1),
4.29/4.47	                                                  B))))).
4.29/4.47	tff('8', plain,
4.29/4.47	    ![X408 : x_a, X409 : fun_a_bool]:
4.29/4.47	      app_encode_app(bool, $o, hBOOL, 
4.29/4.47	        app_encode_app(fun_a_bool, bool, 
4.29/4.47	          app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	            app_encode_app(x_a, fun_fun_a_bool_bool, 
4.29/4.47	              app_encode_app(fun_a_1255737515l_bool, 
4.29/4.47	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.29/4.47	                hAPP_a85458249l_bool, member_a), X408)), 
4.29/4.47	          app_encode_app(fun_a_bool, fun_a_bool, 
4.29/4.47	            app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
4.29/4.47	              insert_a, X408), X409))),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_498])).
4.29/4.47	tff('9', plain,
4.29/4.47	    ![X0 : fun_pname_bool, X1 : pname, X2 : fun_pname_a]:
4.29/4.47	      app_encode_app(bool, $o, hBOOL, 
4.29/4.47	        app_encode_app(fun_a_bool, bool, 
4.29/4.47	          app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	            app_encode_app(x_a, fun_fun_a_bool_bool, 
4.29/4.47	              app_encode_app(fun_a_1255737515l_bool, 
4.29/4.47	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.29/4.47	                hAPP_a85458249l_bool, member_a), 
4.29/4.47	              app_encode_app(pname, x_a, 
4.29/4.47	                app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.29/4.47	                  hAPP_pname_a, X2), X1))), 
4.29/4.47	          app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	            app_encode_app(fun_pname_a, 
4.29/4.47	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, X2), 
4.29/4.47	            app_encode_app(fun_pname_bool, fun_pname_bool, 
4.29/4.47	              app_encode_app(pname, 
4.29/4.47	                app_encode_fun(fun_pname_bool, fun_pname_bool), 
4.29/4.47	                insert_pname, X1), X0)))),
4.29/4.47	    inference('sup+', [status(thm)], ['7', '8'])).
4.29/4.47	tff('10', plain,
4.29/4.47	    ![X0 : fun_pname_a]:
4.29/4.47	      app_encode_app(bool, $o, hBOOL, 
4.29/4.47	        app_encode_app(fun_a_bool, bool, 
4.29/4.47	          app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	            app_encode_app(x_a, fun_fun_a_bool_bool, 
4.29/4.47	              app_encode_app(fun_a_1255737515l_bool, 
4.29/4.47	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
4.29/4.47	                hAPP_a85458249l_bool, member_a), 
4.29/4.47	              app_encode_app(pname, x_a, 
4.29/4.47	                app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
4.29/4.47	                  hAPP_pname_a, X0), pn))), 
4.29/4.47	          app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	            app_encode_app(fun_pname_a, 
4.29/4.47	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, X0), 
4.29/4.47	            u))),
4.29/4.47	    inference('sup+', [status(thm)], ['6', '9'])).
4.29/4.47	tff(zf_stmt_669, axiom,
4.29/4.47	  (app_encode_app(bool,$o,hBOOL,
4.29/4.47	                  app_encode_app(fun_a_bool,bool,
4.29/4.47	                                 app_encode_app(fun_fun_a_bool_bool,
4.29/4.47	                                                app_encode_fun(fun_a_bool,
4.29/4.47	                                                               bool),
4.29/4.47	                                                hAPP_fun_a_bool_bool,
4.29/4.47	                                                app_encode_app(fun_a_bool,
4.29/4.47	                                                               fun_fun_a_bool_bool,
4.29/4.47	                                                               app_encode_app(
4.29/4.47	                                                               fun_fu1471507361l_bool,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               fun_a_bool,
4.29/4.47	                                                               fun_fun_a_bool_bool),
4.29/4.47	                                                               hAPP_f1631501043l_bool,
4.29/4.47	                                                               ord_le1311769555a_bool),
4.29/4.47	                                                               g)),
4.29/4.47	                                 app_encode_app(fun_pname_bool,fun_a_bool,
4.29/4.47	                                                app_encode_app(fun_pname_a,
4.29/4.47	                                                               app_encode_fun(
4.29/4.47	                                                               fun_pname_bool,
4.29/4.47	                                                               fun_a_bool),
4.29/4.47	                                                               image_pname_a,
4.29/4.47	                                                               mgt_call),
4.29/4.47	                                                u))))).
4.29/4.47	tff('11', plain,
4.29/4.47	    app_encode_app(bool, $o, hBOOL, 
4.29/4.47	      app_encode_app(fun_a_bool, bool, 
4.29/4.47	        app_encode_app(fun_fun_a_bool_bool, 
4.29/4.47	          app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
4.29/4.47	          app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
4.29/4.47	            app_encode_app(fun_fu1471507361l_bool, 
4.29/4.47	              app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
4.29/4.47	              hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
4.29/4.47	        app_encode_app(fun_pname_bool, fun_a_bool, 
4.29/4.47	          app_encode_app(fun_pname_a, 
4.29/4.47	            app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
4.29/4.47	            mgt_call), u))),
4.29/4.47	    inference('cnf', [status(esa)], [zf_stmt_669])).
4.29/4.47	tff('12', plain, (~ $true | ~ $true | ~ $true),
4.29/4.47	    inference('demod', [status(thm)], ['2', '10', '11'])).
4.29/4.47	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
4.29/4.47	
4.29/4.47	% SZS output end Refutation
4.29/4.47	EOF
