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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n095.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 09:33:08 CST 2018
235.77/235.93	% done 19619 iterations in 235.725s
235.77/235.93	% SZS status Theorem for 'stdin'
235.77/235.93	% SZS output start Refutation
235.77/235.93	tff(zf_stmt_571, axiom,
235.77/235.93	  (![A_1:fun_pname_bool,B_1:x_a,F:fun_pname_a,X_3:pname]:
235.77/235.93	     ((B_1 =
235.77/235.93	       app_encode_app(pname,x_a,
235.77/235.93	                      app_encode_app(fun_pname_a,app_encode_fun(pname,x_a),
235.77/235.93	                                     hAPP_pname_a,F),
235.77/235.93	                      X_3)) =>
235.77/235.93	      (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                      app_encode_app(fun_pname_bool,bool,
235.77/235.93	                                     app_encode_app(fun_fu1430349052l_bool,
235.77/235.93	                                                    app_encode_fun(fun_pname_bool,
235.77/235.93	                                                                   bool),
235.77/235.93	                                                    hAPP_f1664156314l_bool,
235.77/235.93	                                                    app_encode_app(pname,
235.77/235.93	                                                                   fun_fu1430349052l_bool,
235.77/235.93	                                                                   app_encode_app(
235.77/235.93	                                                                   fun_pn422929397l_bool,
235.77/235.93	                                                                   app_encode_fun(
235.77/235.93	                                                                   pname,
235.77/235.93	                                                                   fun_fu1430349052l_bool),
235.77/235.93	                                                                   hAPP_p338031245l_bool,
235.77/235.93	                                                                   member_pname),
235.77/235.93	                                                                   X_3)),
235.77/235.93	                                     A_1)) =>
235.77/235.93	       app_encode_app(bool,$o,hBOOL,
235.77/235.93	                      app_encode_app(fun_a_bool,bool,
235.77/235.93	                                     app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                    app_encode_fun(fun_a_bool,
235.77/235.93	                                                                   bool),
235.77/235.93	                                                    hAPP_fun_a_bool_bool,
235.77/235.93	                                                    app_encode_app(x_a,
235.77/235.93	                                                                   fun_fun_a_bool_bool,
235.77/235.93	                                                                   app_encode_app(
235.77/235.93	                                                                   fun_a_1255737515l_bool,
235.77/235.93	                                                                   app_encode_fun(
235.77/235.93	                                                                   x_a,
235.77/235.93	                                                                   fun_fun_a_bool_bool),
235.77/235.93	                                                                   hAPP_a85458249l_bool,
235.77/235.93	                                                                   member_a),
235.77/235.93	                                                                   B_1)),
235.77/235.93	                                     app_encode_app(fun_pname_bool,
235.77/235.93	                                                    fun_a_bool,
235.77/235.93	                                                    app_encode_app(fun_pname_a,
235.77/235.93	                                                                   app_encode_fun(
235.77/235.93	                                                                   fun_pname_bool,
235.77/235.93	                                                                   fun_a_bool),
235.77/235.93	                                                                   image_pname_a,
235.77/235.93	                                                                   F),
235.77/235.93	                                                    A_1))))))).
235.77/235.93	tff('0', plain,
235.77/235.93	    ![X506 : x_a, X507 : fun_pname_a, X508 : fun_pname_bool, X509 : pname]:
235.77/235.93	      (app_encode_app(bool, $o, hBOOL, 
235.77/235.93	         app_encode_app(fun_a_bool, bool, 
235.77/235.93	           app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	             app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	             app_encode_app(x_a, fun_fun_a_bool_bool, 
235.77/235.93	               app_encode_app(fun_a_1255737515l_bool, 
235.77/235.93	                 app_encode_fun(x_a, fun_fun_a_bool_bool), 
235.77/235.93	                 hAPP_a85458249l_bool, member_a), X506)), 
235.77/235.93	           app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	             app_encode_app(fun_pname_a, 
235.77/235.93	               app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	               X507), X508)))
235.77/235.93	       | X506
235.77/235.93	          != app_encode_app(pname, x_a, 
235.77/235.93	               app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
235.77/235.93	                 hAPP_pname_a, X507), X509)
235.77/235.93	       | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	             app_encode_app(fun_pname_bool, bool, 
235.77/235.93	               app_encode_app(fun_fu1430349052l_bool, 
235.77/235.93	                 app_encode_fun(fun_pname_bool, bool), 
235.77/235.93	                 hAPP_f1664156314l_bool, 
235.77/235.93	                 app_encode_app(pname, fun_fu1430349052l_bool, 
235.77/235.93	                   app_encode_app(fun_pn422929397l_bool, 
235.77/235.93	                     app_encode_fun(pname, fun_fu1430349052l_bool), 
235.77/235.93	                     hAPP_p338031245l_bool, member_pname), X509)), X508))),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_571])).
235.77/235.93	tff('1', plain,
235.77/235.93	    ![X507 : fun_pname_a, X508 : fun_pname_bool, X509 : pname]:
235.77/235.93	      (~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	           app_encode_app(fun_pname_bool, bool, 
235.77/235.93	             app_encode_app(fun_fu1430349052l_bool, 
235.77/235.93	               app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
235.77/235.93	               app_encode_app(pname, fun_fu1430349052l_bool, 
235.77/235.93	                 app_encode_app(fun_pn422929397l_bool, 
235.77/235.93	                   app_encode_fun(pname, fun_fu1430349052l_bool), 
235.77/235.93	                   hAPP_p338031245l_bool, member_pname), X509)), X508))
235.77/235.93	       | app_encode_app(bool, $o, hBOOL, 
235.77/235.93	           app_encode_app(fun_a_bool, bool, 
235.77/235.93	             app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	               app_encode_app(x_a, fun_fun_a_bool_bool, 
235.77/235.93	                 app_encode_app(fun_a_1255737515l_bool, 
235.77/235.93	                   app_encode_fun(x_a, fun_fun_a_bool_bool), 
235.77/235.93	                   hAPP_a85458249l_bool, member_a), 
235.77/235.93	                 app_encode_app(pname, x_a, 
235.77/235.93	                   app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
235.77/235.93	                     hAPP_pname_a, X507), X509))), 
235.77/235.93	             app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	               app_encode_app(fun_pname_a, 
235.77/235.93	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	                 X507), X508)))),
235.77/235.93	    inference('simplify', [status(thm)], ['0'])).
235.77/235.93	tff(zf_stmt_680, axiom,
235.77/235.93	  (![X_3:x_a,A_1:fun_a_bool,B_6:fun_a_bool]:
235.77/235.93	     (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                     app_encode_app(fun_a_bool,bool,
235.77/235.93	                                    app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                   app_encode_fun(fun_a_bool,
235.77/235.93	                                                                  bool),
235.77/235.93	                                                   hAPP_fun_a_bool_bool,
235.77/235.93	                                                   app_encode_app(fun_a_bool,
235.77/235.93	                                                                  fun_fun_a_bool_bool,
235.77/235.93	                                                                  app_encode_app(
235.77/235.93	                                                                  fun_fu1471507361l_bool,
235.77/235.93	                                                                  app_encode_fun(
235.77/235.93	                                                                  fun_a_bool,
235.77/235.93	                                                                  fun_fun_a_bool_bool),
235.77/235.93	                                                                  hAPP_f1631501043l_bool,
235.77/235.93	                                                                  ord_le1311769555a_bool),
235.77/235.93	                                                                  app_encode_app(
235.77/235.93	                                                                  fun_a_bool,
235.77/235.93	                                                                  fun_a_bool,
235.77/235.93	                                                                  app_encode_app(
235.77/235.93	                                                                  x_a,
235.77/235.93	                                                                  app_encode_fun(
235.77/235.93	                                                                  fun_a_bool,
235.77/235.93	                                                                  fun_a_bool),
235.77/235.93	                                                                  insert_a,
235.77/235.93	                                                                  X_3),A_1))),
235.77/235.93	                                    B_6)) <=>
235.77/235.93	      (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                      app_encode_app(fun_a_bool,bool,
235.77/235.93	                                     app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                    app_encode_fun(fun_a_bool,
235.77/235.93	                                                                   bool),
235.77/235.93	                                                    hAPP_fun_a_bool_bool,
235.77/235.93	                                                    app_encode_app(x_a,
235.77/235.93	                                                                   fun_fun_a_bool_bool,
235.77/235.93	                                                                   app_encode_app(
235.77/235.93	                                                                   fun_a_1255737515l_bool,
235.77/235.93	                                                                   app_encode_fun(
235.77/235.93	                                                                   x_a,
235.77/235.93	                                                                   fun_fun_a_bool_bool),
235.77/235.93	                                                                   hAPP_a85458249l_bool,
235.77/235.93	                                                                   member_a),
235.77/235.93	                                                                   X_3)),
235.77/235.93	                                     B_6)) & 
235.77/235.93	       app_encode_app(bool,$o,hBOOL,
235.77/235.93	                      app_encode_app(fun_a_bool,bool,
235.77/235.93	                                     app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                    app_encode_fun(fun_a_bool,
235.77/235.93	                                                                   bool),
235.77/235.93	                                                    hAPP_fun_a_bool_bool,
235.77/235.93	                                                    app_encode_app(fun_a_bool,
235.77/235.93	                                                                   fun_fun_a_bool_bool,
235.77/235.93	                                                                   app_encode_app(
235.77/235.93	                                                                   fun_fu1471507361l_bool,
235.77/235.93	                                                                   app_encode_fun(
235.77/235.93	                                                                   fun_a_bool,
235.77/235.93	                                                                   fun_fun_a_bool_bool),
235.77/235.93	                                                                   hAPP_f1631501043l_bool,
235.77/235.93	                                                                   ord_le1311769555a_bool),
235.77/235.93	                                                                   A_1)),
235.77/235.93	                                     B_6)))))).
235.77/235.93	tff('2', plain,
235.77/235.93	    ![X788 : x_a, X790 : fun_a_bool, X791 : fun_a_bool]:
235.77/235.93	      (app_encode_app(bool, $o, hBOOL, 
235.77/235.93	         app_encode_app(fun_a_bool, bool, 
235.77/235.93	           app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	             app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	             app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	               app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	                 app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	                 hAPP_f1631501043l_bool, ord_le1311769555a_bool), 
235.77/235.93	               app_encode_app(fun_a_bool, fun_a_bool, 
235.77/235.93	                 app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
235.77/235.93	                   insert_a, X788), X790))), X791))
235.77/235.93	       | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	             app_encode_app(fun_a_bool, bool, 
235.77/235.93	               app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	                 app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	                 app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	                   app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	                     app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	                     hAPP_f1631501043l_bool, ord_le1311769555a_bool), X790)), 
235.77/235.93	               X791))
235.77/235.93	       | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	             app_encode_app(fun_a_bool, bool, 
235.77/235.93	               app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	                 app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	                 app_encode_app(x_a, fun_fun_a_bool_bool, 
235.77/235.93	                   app_encode_app(fun_a_1255737515l_bool, 
235.77/235.93	                     app_encode_fun(x_a, fun_fun_a_bool_bool), 
235.77/235.93	                     hAPP_a85458249l_bool, member_a), X788)), X791))),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_680])).
235.77/235.93	tff(zf_stmt_1169, conjecture,
235.77/235.93	  (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                  app_encode_app(fun_a_bool,bool,
235.77/235.93	                                 app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                app_encode_fun(fun_a_bool,
235.77/235.93	                                                               bool),
235.77/235.93	                                                hAPP_fun_a_bool_bool,
235.77/235.93	                                                app_encode_app(fun_a_bool,
235.77/235.93	                                                               fun_fun_a_bool_bool,
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               fun_fu1471507361l_bool,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               fun_a_bool,
235.77/235.93	                                                               fun_fun_a_bool_bool),
235.77/235.93	                                                               hAPP_f1631501043l_bool,
235.77/235.93	                                                               ord_le1311769555a_bool),
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               fun_a_bool,
235.77/235.93	                                                               fun_a_bool,
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               x_a,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               fun_a_bool,
235.77/235.93	                                                               fun_a_bool),
235.77/235.93	                                                               insert_a,
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               pname,x_a,
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               fun_pname_a,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               pname,x_a),
235.77/235.93	                                                               hAPP_pname_a,
235.77/235.93	                                                               mgt_call),pn)),
235.77/235.93	                                                               g))),
235.77/235.93	                                 app_encode_app(fun_pname_bool,fun_a_bool,
235.77/235.93	                                                app_encode_app(fun_pname_a,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               fun_pname_bool,
235.77/235.93	                                                               fun_a_bool),
235.77/235.93	                                                               image_pname_a,
235.77/235.93	                                                               mgt_call),
235.77/235.93	                                                u))))).
235.77/235.93	tff(zf_stmt_0, negated_conjecture,
235.77/235.93	  (~
235.77/235.93	    app_encode_app(bool,$o,hBOOL,
235.77/235.93	                   app_encode_app(fun_a_bool,bool,
235.77/235.93	                                  app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                 app_encode_fun(fun_a_bool,
235.77/235.93	                                                                bool),
235.77/235.93	                                                 hAPP_fun_a_bool_bool,
235.77/235.93	                                                 app_encode_app(fun_a_bool,
235.77/235.93	                                                                fun_fun_a_bool_bool,
235.77/235.93	                                                                app_encode_app(
235.77/235.93	                                                                fun_fu1471507361l_bool,
235.77/235.93	                                                                app_encode_fun(
235.77/235.93	                                                                fun_a_bool,
235.77/235.93	                                                                fun_fun_a_bool_bool),
235.77/235.93	                                                                hAPP_f1631501043l_bool,
235.77/235.93	                                                                ord_le1311769555a_bool),
235.77/235.93	                                                                app_encode_app(
235.77/235.93	                                                                fun_a_bool,
235.77/235.93	                                                                fun_a_bool,
235.77/235.93	                                                                app_encode_app(
235.77/235.93	                                                                x_a,
235.77/235.93	                                                                app_encode_fun(
235.77/235.93	                                                                fun_a_bool,
235.77/235.93	                                                                fun_a_bool),
235.77/235.93	                                                                insert_a,
235.77/235.93	                                                                app_encode_app(
235.77/235.93	                                                                pname,x_a,
235.77/235.93	                                                                app_encode_app(
235.77/235.93	                                                                fun_pname_a,
235.77/235.93	                                                                app_encode_fun(
235.77/235.93	                                                                pname,x_a),
235.77/235.93	                                                                hAPP_pname_a,
235.77/235.93	                                                                mgt_call),pn)),
235.77/235.93	                                                                g))),
235.77/235.93	                                  app_encode_app(fun_pname_bool,fun_a_bool,
235.77/235.93	                                                 app_encode_app(fun_pname_a,
235.77/235.93	                                                                app_encode_fun(
235.77/235.93	                                                                fun_pname_bool,
235.77/235.93	                                                                fun_a_bool),
235.77/235.93	                                                                image_pname_a,
235.77/235.93	                                                                mgt_call),
235.77/235.93	                                                 u))))).
235.77/235.93	tff('3', plain,
235.77/235.93	    ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	        app_encode_app(fun_a_bool, bool, 
235.77/235.93	          app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	            app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	              app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	                app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	                hAPP_f1631501043l_bool, ord_le1311769555a_bool), 
235.77/235.93	              app_encode_app(fun_a_bool, fun_a_bool, 
235.77/235.93	                app_encode_app(x_a, app_encode_fun(fun_a_bool, fun_a_bool), 
235.77/235.93	                  insert_a, 
235.77/235.93	                  app_encode_app(pname, x_a, 
235.77/235.93	                    app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
235.77/235.93	                      hAPP_pname_a, mgt_call), pn)), g))), 
235.77/235.93	          app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	            app_encode_app(fun_pname_a, 
235.77/235.93	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	              mgt_call), u))),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_0])).
235.77/235.93	tff('4', plain,
235.77/235.93	    (~ $true
235.77/235.93	     | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	           app_encode_app(fun_a_bool, bool, 
235.77/235.93	             app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	               app_encode_app(x_a, fun_fun_a_bool_bool, 
235.77/235.93	                 app_encode_app(fun_a_1255737515l_bool, 
235.77/235.93	                   app_encode_fun(x_a, fun_fun_a_bool_bool), 
235.77/235.93	                   hAPP_a85458249l_bool, member_a), 
235.77/235.93	                 app_encode_app(pname, x_a, 
235.77/235.93	                   app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
235.77/235.93	                     hAPP_pname_a, mgt_call), pn))), 
235.77/235.93	             app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	               app_encode_app(fun_pname_a, 
235.77/235.93	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	                 mgt_call), u)))
235.77/235.93	     | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	           app_encode_app(fun_a_bool, bool, 
235.77/235.93	             app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	               app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	                 app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	                   app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	                   hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
235.77/235.93	             app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	               app_encode_app(fun_pname_a, 
235.77/235.93	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	                 mgt_call), u)))),
235.77/235.93	    inference('sup-', [status(thm)], ['2', '3'])).
235.77/235.93	tff(zf_stmt_1164, axiom,
235.77/235.93	  (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                  app_encode_app(fun_a_bool,bool,
235.77/235.93	                                 app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                app_encode_fun(fun_a_bool,
235.77/235.93	                                                               bool),
235.77/235.93	                                                hAPP_fun_a_bool_bool,
235.77/235.93	                                                app_encode_app(fun_a_bool,
235.77/235.93	                                                               fun_fun_a_bool_bool,
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               fun_fu1471507361l_bool,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               fun_a_bool,
235.77/235.93	                                                               fun_fun_a_bool_bool),
235.77/235.93	                                                               hAPP_f1631501043l_bool,
235.77/235.93	                                                               ord_le1311769555a_bool),
235.77/235.93	                                                               g)),
235.77/235.93	                                 app_encode_app(fun_pname_bool,fun_a_bool,
235.77/235.93	                                                app_encode_app(fun_pname_a,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               fun_pname_bool,
235.77/235.93	                                                               fun_a_bool),
235.77/235.93	                                                               image_pname_a,
235.77/235.93	                                                               mgt_call),
235.77/235.93	                                                u))))).
235.77/235.93	tff('5', plain,
235.77/235.93	    app_encode_app(bool, $o, hBOOL, 
235.77/235.93	      app_encode_app(fun_a_bool, bool, 
235.77/235.93	        app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	          app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	          app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	            app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	              app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	              hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
235.77/235.93	        app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	          app_encode_app(fun_pname_a, 
235.77/235.93	            app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	            mgt_call), u))),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_1164])).
235.77/235.93	tff(zf_stmt_1065, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
235.77/235.93	tff('6', plain, ![X1694 : bool]: (X1694 = fTrue | X1694 = fFalse),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_1065])).
235.77/235.93	tff(zf_stmt_1064, axiom, (~app_encode_app(bool,$o,hBOOL,fFalse))).
235.77/235.93	tff('7', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_1064])).
235.77/235.93	tff('8', plain,
235.77/235.93	    ![X0 : bool]: (~ app_encode_app(bool, $o, hBOOL, X0) | X0 = fTrue),
235.77/235.93	    inference('sup-', [status(thm)], ['6', '7'])).
235.77/235.93	tff('9', plain,
235.77/235.93	    (~ $true
235.77/235.93	     | app_encode_app(fun_a_bool, bool, 
235.77/235.93	         app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	           app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	           app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	             app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	               app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	               hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
235.77/235.93	         app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	           app_encode_app(fun_pname_a, 
235.77/235.93	             app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	             mgt_call), u))
235.77/235.93	        = fTrue),
235.77/235.93	    inference('sup-', [status(thm)], ['5', '8'])).
235.77/235.93	tff('10', plain,
235.77/235.93	    app_encode_app(fun_a_bool, bool, 
235.77/235.93	      app_encode_app(fun_fun_a_bool_bool, app_encode_fun(fun_a_bool, bool), 
235.77/235.93	        hAPP_fun_a_bool_bool, 
235.77/235.93	        app_encode_app(fun_a_bool, fun_fun_a_bool_bool, 
235.77/235.93	          app_encode_app(fun_fu1471507361l_bool, 
235.77/235.93	            app_encode_fun(fun_a_bool, fun_fun_a_bool_bool), 
235.77/235.93	            hAPP_f1631501043l_bool, ord_le1311769555a_bool), g)), 
235.77/235.93	      app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	        app_encode_app(fun_pname_a, 
235.77/235.93	          app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	          mgt_call), u))
235.77/235.93	     = fTrue,
235.77/235.93	    inference('simplify', [status(thm)], ['9'])).
235.77/235.93	tff(zf_stmt_745, axiom,
235.77/235.93	  (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                  app_encode_app(fun_a_bool,bool,
235.77/235.93	                                 app_encode_app(fun_fun_a_bool_bool,
235.77/235.93	                                                app_encode_fun(fun_a_bool,
235.77/235.93	                                                               bool),
235.77/235.93	                                                hAPP_fun_a_bool_bool,
235.77/235.93	                                                finite_finite_a),
235.77/235.93	                                 bot_bot_fun_a_bool)))).
235.77/235.93	tff('11', plain,
235.77/235.93	    app_encode_app(bool, $o, hBOOL, 
235.77/235.93	      app_encode_app(fun_a_bool, bool, 
235.77/235.93	        app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	          app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	          finite_finite_a), bot_bot_fun_a_bool)),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_745])).
235.77/235.93	tff('12', plain,
235.77/235.93	    (~ $true
235.77/235.93	     | app_encode_app(fun_a_bool, bool, 
235.77/235.93	         app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	           app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	           finite_finite_a), bot_bot_fun_a_bool)
235.77/235.93	        = fTrue),
235.77/235.93	    inference('sup-', [status(thm)], ['11', '8'])).
235.77/235.93	tff('13', plain,
235.77/235.93	    app_encode_app(fun_a_bool, bool, 
235.77/235.93	      app_encode_app(fun_fun_a_bool_bool, app_encode_fun(fun_a_bool, bool), 
235.77/235.93	        hAPP_fun_a_bool_bool, finite_finite_a), bot_bot_fun_a_bool)
235.77/235.93	     = fTrue,
235.77/235.93	    inference('simplify', [status(thm)], ['12'])).
235.77/235.93	tff('14', plain, app_encode_app(bool, $o, hBOOL, fTrue),
235.77/235.93	    inference('demod', [status(thm)], ['11', '13'])).
235.77/235.93	tff('15', plain,
235.77/235.93	    (~ $true
235.77/235.93	     | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	           app_encode_app(fun_a_bool, bool, 
235.77/235.93	             app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	               app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	               app_encode_app(x_a, fun_fun_a_bool_bool, 
235.77/235.93	                 app_encode_app(fun_a_1255737515l_bool, 
235.77/235.93	                   app_encode_fun(x_a, fun_fun_a_bool_bool), 
235.77/235.93	                   hAPP_a85458249l_bool, member_a), 
235.77/235.93	                 app_encode_app(pname, x_a, 
235.77/235.93	                   app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
235.77/235.93	                     hAPP_pname_a, mgt_call), pn))), 
235.77/235.93	             app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	               app_encode_app(fun_pname_a, 
235.77/235.93	                 app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	                 mgt_call), u)))
235.77/235.93	     | ~ $true),
235.77/235.93	    inference('demod', [status(thm)], ['4', '10', '14'])).
235.77/235.93	tff('16', plain,
235.77/235.93	    ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	        app_encode_app(fun_a_bool, bool, 
235.77/235.93	          app_encode_app(fun_fun_a_bool_bool, 
235.77/235.93	            app_encode_fun(fun_a_bool, bool), hAPP_fun_a_bool_bool, 
235.77/235.93	            app_encode_app(x_a, fun_fun_a_bool_bool, 
235.77/235.93	              app_encode_app(fun_a_1255737515l_bool, 
235.77/235.93	                app_encode_fun(x_a, fun_fun_a_bool_bool), 
235.77/235.93	                hAPP_a85458249l_bool, member_a), 
235.77/235.93	              app_encode_app(pname, x_a, 
235.77/235.93	                app_encode_app(fun_pname_a, app_encode_fun(pname, x_a), 
235.77/235.93	                  hAPP_pname_a, mgt_call), pn))), 
235.77/235.93	          app_encode_app(fun_pname_bool, fun_a_bool, 
235.77/235.93	            app_encode_app(fun_pname_a, 
235.77/235.93	              app_encode_fun(fun_pname_bool, fun_a_bool), image_pname_a, 
235.77/235.93	              mgt_call), u))),
235.77/235.93	    inference('simplify', [status(thm)], ['15'])).
235.77/235.93	tff('17', plain,
235.77/235.93	    (~ $true
235.77/235.93	     | ~ app_encode_app(bool, $o, hBOOL, 
235.77/235.93	           app_encode_app(fun_pname_bool, bool, 
235.77/235.93	             app_encode_app(fun_fu1430349052l_bool, 
235.77/235.93	               app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
235.77/235.93	               app_encode_app(pname, fun_fu1430349052l_bool, 
235.77/235.93	                 app_encode_app(fun_pn422929397l_bool, 
235.77/235.93	                   app_encode_fun(pname, fun_fu1430349052l_bool), 
235.77/235.93	                   hAPP_p338031245l_bool, member_pname), pn)), u))),
235.77/235.93	    inference('sup-', [status(thm)], ['1', '16'])).
235.77/235.93	tff(zf_stmt_1167, axiom,
235.77/235.93	  (app_encode_app(bool,$o,hBOOL,
235.77/235.93	                  app_encode_app(fun_pname_bool,bool,
235.77/235.93	                                 app_encode_app(fun_fu1430349052l_bool,
235.77/235.93	                                                app_encode_fun(fun_pname_bool,
235.77/235.93	                                                               bool),
235.77/235.93	                                                hAPP_f1664156314l_bool,
235.77/235.93	                                                app_encode_app(pname,
235.77/235.93	                                                               fun_fu1430349052l_bool,
235.77/235.93	                                                               app_encode_app(
235.77/235.93	                                                               fun_pn422929397l_bool,
235.77/235.93	                                                               app_encode_fun(
235.77/235.93	                                                               pname,
235.77/235.93	                                                               fun_fu1430349052l_bool),
235.77/235.93	                                                               hAPP_p338031245l_bool,
235.77/235.93	                                                               member_pname),
235.77/235.93	                                                               pn)),
235.77/235.93	                                 u)))).
235.77/235.93	tff('18', plain,
235.77/235.93	    app_encode_app(bool, $o, hBOOL, 
235.77/235.93	      app_encode_app(fun_pname_bool, bool, 
235.77/235.93	        app_encode_app(fun_fu1430349052l_bool, 
235.77/235.93	          app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
235.77/235.93	          app_encode_app(pname, fun_fu1430349052l_bool, 
235.77/235.93	            app_encode_app(fun_pn422929397l_bool, 
235.77/235.93	              app_encode_fun(pname, fun_fu1430349052l_bool), 
235.77/235.93	              hAPP_p338031245l_bool, member_pname), pn)), u)),
235.77/235.93	    inference('cnf', [status(esa)], [zf_stmt_1167])).
235.77/235.93	tff('19', plain,
235.77/235.93	    (~ $true
235.77/235.93	     | app_encode_app(fun_pname_bool, bool, 
235.77/235.93	         app_encode_app(fun_fu1430349052l_bool, 
235.77/235.93	           app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
235.77/235.93	           app_encode_app(pname, fun_fu1430349052l_bool, 
235.77/235.93	             app_encode_app(fun_pn422929397l_bool, 
235.77/235.93	               app_encode_fun(pname, fun_fu1430349052l_bool), 
235.77/235.93	               hAPP_p338031245l_bool, member_pname), pn)), u)
235.77/235.93	        = fTrue),
235.77/235.93	    inference('sup-', [status(thm)], ['18', '8'])).
235.77/235.93	tff('20', plain,
235.77/235.93	    app_encode_app(fun_pname_bool, bool, 
235.77/235.93	      app_encode_app(fun_fu1430349052l_bool, 
235.77/235.93	        app_encode_fun(fun_pname_bool, bool), hAPP_f1664156314l_bool, 
235.77/235.93	        app_encode_app(pname, fun_fu1430349052l_bool, 
235.77/235.93	          app_encode_app(fun_pn422929397l_bool, 
235.77/235.93	            app_encode_fun(pname, fun_fu1430349052l_bool), 
235.77/235.93	            hAPP_p338031245l_bool, member_pname), pn)), u)
235.77/235.93	     = fTrue,
235.77/235.93	    inference('simplify', [status(thm)], ['19'])).
235.77/235.93	tff('21', plain, (~ $true | ~ $true),
235.77/235.93	    inference('demod', [status(thm)], ['17', '20', '14'])).
235.77/235.93	tff('22', plain, $false, inference('simplify', [status(thm)], ['21'])).
235.77/235.93	
235.77/235.93	% SZS output end Refutation
235.77/235.94	EOF
