0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n155.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:30:38 CST 2018
73.73/73.84	% done 11602 iterations in 73.636s
73.73/73.84	% SZS status Theorem for 'stdin'
73.73/73.84	% SZS output start Refutation
73.73/73.84	tff(zf_stmt_98, axiom,
73.73/73.84	  (app_encode_app(bool,$o,hBOOL,
73.73/73.84	                  app_encode_app(int,bool,
73.73/73.84	                                 app_encode_app(fun_int_bool,
73.73/73.84	                                                app_encode_fun(int,bool),
73.73/73.84	                                                hAPP_int_bool,
73.73/73.84	                                                app_encode_app(int,
73.73/73.84	                                                               fun_int_bool,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_fun_int_bool,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_bool),
73.73/73.84	                                                               hAPP_i1948725293t_bool,
73.73/73.84	                                                               ord_less_int),
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               times_times_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               plus_plus_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               times_times_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               number_number_of_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit1,
73.73/73.84	                                                               pls)))))),m))),
73.73/73.84	                                                               one_one_int))),
73.73/73.84	                                                               t))),
73.73/73.84	                                 app_encode_app(int,int,
73.73/73.84	                                                app_encode_app(fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               times_times_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               plus_plus_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               times_times_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               number_number_of_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit1,
73.73/73.84	                                                               pls)))))),m))),
73.73/73.84	                                                               one_one_int))),
73.73/73.84	                                                zero_zero_int))))).
73.73/73.84	tff('0', plain,
73.73/73.84	    app_encode_app(bool, $o, hBOOL, 
73.73/73.84	      app_encode_app(int, bool, 
73.73/73.84	        app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
73.73/73.84	          hAPP_int_bool, 
73.73/73.84	          app_encode_app(int, fun_int_bool, 
73.73/73.84	            app_encode_app(fun_int_fun_int_bool, 
73.73/73.84	              app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
73.73/73.84	              ord_less_int), 
73.73/73.84	            app_encode_app(int, int, 
73.73/73.84	              app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                hAPP_int_int, 
73.73/73.84	                app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                  app_encode_app(int, int, 
73.73/73.84	                    app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                      hAPP_int_int, 
73.73/73.84	                      app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                        app_encode_app(int, int, 
73.73/73.84	                          app_encode_app(fun_int_int, 
73.73/73.84	                            app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	                            app_encode_app(int, fun_int_int, 
73.73/73.84	                              times_times_int, 
73.73/73.84	                              app_encode_app(int, int, number_number_of_int, 
73.73/73.84	                                app_encode_app(int, int, bit0, 
73.73/73.84	                                  app_encode_app(int, int, bit0, 
73.73/73.84	                                    app_encode_app(int, int, bit1, pls)))))), 
73.73/73.84	                          m))), one_one_int))), t))), 
73.73/73.84	        app_encode_app(int, int, 
73.73/73.84	          app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	            hAPP_int_int, 
73.73/73.84	            app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	              app_encode_app(int, int, 
73.73/73.84	                app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                  hAPP_int_int, 
73.73/73.84	                  app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                    app_encode_app(int, int, 
73.73/73.84	                      app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                        hAPP_int_int, 
73.73/73.84	                        app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                          app_encode_app(int, int, number_number_of_int, 
73.73/73.84	                            app_encode_app(int, int, bit0, 
73.73/73.84	                              app_encode_app(int, int, bit0, 
73.73/73.84	                                app_encode_app(int, int, bit1, pls)))))), m))), 
73.73/73.84	                one_one_int))), zero_zero_int))),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_98])).
73.73/73.84	tff(zf_stmt_268, axiom, (pls = zero_zero_int)).
73.73/73.84	tff('1', plain, pls = zero_zero_int,
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_268])).
73.73/73.84	tff(zf_stmt_130, axiom,
73.73/73.84	  (![K_1:int]: (app_encode_app(int,int,number_number_of_int,K_1) = K_1))).
73.73/73.84	tff('2', plain,
73.73/73.84	    ![X31 : int]: app_encode_app(int, int, number_number_of_int, X31) = X31,
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_130])).
73.73/73.84	tff('3', plain,
73.73/73.84	    app_encode_app(bool, $o, hBOOL, 
73.73/73.84	      app_encode_app(int, bool, 
73.73/73.84	        app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
73.73/73.84	          hAPP_int_bool, 
73.73/73.84	          app_encode_app(int, fun_int_bool, 
73.73/73.84	            app_encode_app(fun_int_fun_int_bool, 
73.73/73.84	              app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
73.73/73.84	              ord_less_int), 
73.73/73.84	            app_encode_app(int, int, 
73.73/73.84	              app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                hAPP_int_int, 
73.73/73.84	                app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                  app_encode_app(int, int, 
73.73/73.84	                    app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                      hAPP_int_int, 
73.73/73.84	                      app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                        app_encode_app(int, int, 
73.73/73.84	                          app_encode_app(fun_int_int, 
73.73/73.84	                            app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	                            app_encode_app(int, fun_int_int, 
73.73/73.84	                              times_times_int, 
73.73/73.84	                              app_encode_app(int, int, bit0, 
73.73/73.84	                                app_encode_app(int, int, bit0, 
73.73/73.84	                                  app_encode_app(int, int, bit1, 
73.73/73.84	                                    zero_zero_int))))), m))), one_one_int))), 
73.73/73.84	              t))), 
73.73/73.84	        app_encode_app(int, int, 
73.73/73.84	          app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	            hAPP_int_int, 
73.73/73.84	            app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	              app_encode_app(int, int, 
73.73/73.84	                app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                  hAPP_int_int, 
73.73/73.84	                  app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                    app_encode_app(int, int, 
73.73/73.84	                      app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                        hAPP_int_int, 
73.73/73.84	                        app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                          app_encode_app(int, int, bit0, 
73.73/73.84	                            app_encode_app(int, int, bit0, 
73.73/73.84	                              app_encode_app(int, int, bit1, zero_zero_int))))), 
73.73/73.84	                      m))), one_one_int))), zero_zero_int))),
73.73/73.84	    inference('demod', [status(thm)], ['0', '1', '2', '1', '2'])).
73.73/73.84	tff(zf_stmt_99, axiom,
73.73/73.84	  (app_encode_app(int,int,
73.73/73.84	                  app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                 hAPP_int_int,
73.73/73.84	                                 app_encode_app(int,fun_int_int,
73.73/73.84	                                                plus_plus_int,
73.73/73.84	                                                app_encode_app(nat,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_nat_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               nat,int),
73.73/73.84	                                                               hAPP_nat_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_nat_int,
73.73/73.84	                                                               power_power_int,
73.73/73.84	                                                               s)),
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,nat,
73.73/73.84	                                                               number_number_of_nat,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit1,
73.73/73.84	                                                               pls)))))),
73.73/73.84	                  one_one_int) =
73.73/73.84	   app_encode_app(int,int,
73.73/73.84	                  app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                 hAPP_int_int,
73.73/73.84	                                 app_encode_app(int,fun_int_int,
73.73/73.84	                                                times_times_int,
73.73/73.84	                                                app_encode_app(int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               plus_plus_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               times_times_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               number_number_of_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit1,
73.73/73.84	                                                               pls)))))),m))),
73.73/73.84	                                                               one_one_int))),
73.73/73.84	                  t))).
73.73/73.84	tff('4', plain,
73.73/73.84	    app_encode_app(int, int, 
73.73/73.84	      app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	        app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	          app_encode_app(nat, int, 
73.73/73.84	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
73.73/73.84	              hAPP_nat_int, 
73.73/73.84	              app_encode_app(int, fun_nat_int, power_power_int, s)), 
73.73/73.84	            app_encode_app(int, nat, number_number_of_nat, 
73.73/73.84	              app_encode_app(int, int, bit0, 
73.73/73.84	                app_encode_app(int, int, bit1, pls)))))), one_one_int)
73.73/73.84	     = app_encode_app(int, int, 
73.73/73.84	         app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	           app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	             app_encode_app(int, int, 
73.73/73.84	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                 hAPP_int_int, 
73.73/73.84	                 app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                   app_encode_app(int, int, 
73.73/73.84	                     app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                       hAPP_int_int, 
73.73/73.84	                       app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                         app_encode_app(int, int, number_number_of_int, 
73.73/73.84	                           app_encode_app(int, int, bit0, 
73.73/73.84	                             app_encode_app(int, int, bit0, 
73.73/73.84	                               app_encode_app(int, int, bit1, pls)))))), m))), 
73.73/73.84	               one_one_int))), t),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_99])).
73.73/73.84	tff('5', plain,
73.73/73.84	    app_encode_app(int, int, 
73.73/73.84	      app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	        app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	          app_encode_app(nat, int, 
73.73/73.84	            app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
73.73/73.84	              hAPP_nat_int, 
73.73/73.84	              app_encode_app(int, fun_nat_int, power_power_int, s)), 
73.73/73.84	            app_encode_app(int, nat, number_number_of_nat, 
73.73/73.84	              app_encode_app(int, int, bit0, 
73.73/73.84	                app_encode_app(int, int, bit1, zero_zero_int)))))), 
73.73/73.84	      one_one_int)
73.73/73.84	     = app_encode_app(int, int, 
73.73/73.84	         app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	           app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	             app_encode_app(int, int, 
73.73/73.84	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                 hAPP_int_int, 
73.73/73.84	                 app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                   app_encode_app(int, int, 
73.73/73.84	                     app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                       hAPP_int_int, 
73.73/73.84	                       app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                         app_encode_app(int, int, bit0, 
73.73/73.84	                           app_encode_app(int, int, bit0, 
73.73/73.84	                             app_encode_app(int, int, bit1, zero_zero_int))))), 
73.73/73.84	                     m))), one_one_int))), t),
73.73/73.84	    inference('demod', [status(thm)], ['4', '1', '1', '2'])).
73.73/73.84	tff('6', plain,
73.73/73.84	    app_encode_app(bool, $o, hBOOL, 
73.73/73.84	      app_encode_app(int, bool, 
73.73/73.84	        app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
73.73/73.84	          hAPP_int_bool, 
73.73/73.84	          app_encode_app(int, fun_int_bool, 
73.73/73.84	            app_encode_app(fun_int_fun_int_bool, 
73.73/73.84	              app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
73.73/73.84	              ord_less_int), 
73.73/73.84	            app_encode_app(int, int, 
73.73/73.84	              app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                hAPP_int_int, 
73.73/73.84	                app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                  app_encode_app(nat, int, 
73.73/73.84	                    app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
73.73/73.84	                      hAPP_nat_int, 
73.73/73.84	                      app_encode_app(int, fun_nat_int, power_power_int, s)), 
73.73/73.84	                    app_encode_app(int, nat, number_number_of_nat, 
73.73/73.84	                      app_encode_app(int, int, bit0, 
73.73/73.84	                        app_encode_app(int, int, bit1, zero_zero_int)))))), 
73.73/73.84	              one_one_int))), 
73.73/73.84	        app_encode_app(int, int, 
73.73/73.84	          app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	            hAPP_int_int, 
73.73/73.84	            app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	              app_encode_app(int, int, 
73.73/73.84	                app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                  hAPP_int_int, 
73.73/73.84	                  app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                    app_encode_app(int, int, 
73.73/73.84	                      app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                        hAPP_int_int, 
73.73/73.84	                        app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	                          app_encode_app(int, int, bit0, 
73.73/73.84	                            app_encode_app(int, int, bit0, 
73.73/73.84	                              app_encode_app(int, int, bit1, zero_zero_int))))), 
73.73/73.84	                      m))), one_one_int))), zero_zero_int))),
73.73/73.84	    inference('demod', [status(thm)], ['3', '5'])).
73.73/73.84	tff(zf_stmt_299, axiom,
73.73/73.84	  (![A_103:int]:
73.73/73.84	     (app_encode_app(nat,int,
73.73/73.84	                     app_encode_app(fun_nat_int,app_encode_fun(nat,int),
73.73/73.84	                                    hAPP_nat_int,
73.73/73.84	                                    app_encode_app(int,fun_nat_int,
73.73/73.84	                                                   power_power_int,A_103)),
73.73/73.84	                     app_encode_app(int,nat,number_number_of_nat,
73.73/73.84	                                    app_encode_app(int,int,bit0,
73.73/73.84	                                                   app_encode_app(int,int,
73.73/73.84	                                                                  bit1,pls)))) =
73.73/73.84	      app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,A_103)),
73.73/73.84	                     A_103)))).
73.73/73.84	tff('7', plain,
73.73/73.84	    ![X371 : int]:
73.73/73.84	      app_encode_app(nat, int, 
73.73/73.84	        app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
73.73/73.84	          app_encode_app(int, fun_nat_int, power_power_int, X371)), 
73.73/73.84	        app_encode_app(int, nat, number_number_of_nat, 
73.73/73.84	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
73.73/73.84	       = app_encode_app(int, int, 
73.73/73.84	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	             hAPP_int_int, 
73.73/73.84	             app_encode_app(int, fun_int_int, times_times_int, X371)), X371),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_299])).
73.73/73.84	tff('8', plain,
73.73/73.84	    ![X371 : int]:
73.73/73.84	      app_encode_app(nat, int, 
73.73/73.84	        app_encode_app(fun_nat_int, app_encode_fun(nat, int), hAPP_nat_int, 
73.73/73.84	          app_encode_app(int, fun_nat_int, power_power_int, X371)), 
73.73/73.84	        app_encode_app(int, nat, number_number_of_nat, 
73.73/73.84	          app_encode_app(int, int, bit0, 
73.73/73.84	            app_encode_app(int, int, bit1, zero_zero_int))))
73.73/73.84	       = app_encode_app(int, int, 
73.73/73.84	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	             hAPP_int_int, 
73.73/73.84	             app_encode_app(int, fun_int_int, times_times_int, X371)), X371),
73.73/73.84	    inference('demod', [status(thm)], ['7', '1'])).
73.73/73.84	tff(zf_stmt_256, axiom,
73.73/73.84	  (one_one_int =
73.73/73.84	   app_encode_app(int,int,number_number_of_int,
73.73/73.84	                  app_encode_app(int,int,bit1,pls)))).
73.73/73.84	tff('9', plain,
73.73/73.84	    one_one_int
73.73/73.84	     = app_encode_app(int, int, number_number_of_int, 
73.73/73.84	         app_encode_app(int, int, bit1, pls)),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_256])).
73.73/73.84	tff('10', plain, one_one_int = app_encode_app(int, int, bit1, zero_zero_int),
73.73/73.84	    inference('demod', [status(thm)], ['9', '1', '2'])).
73.73/73.84	tff(zf_stmt_230, axiom,
73.73/73.84	  (![Z:int,W:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   plus_plus_int,Z)),
73.73/73.84	                     W) =
73.73/73.84	      app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   plus_plus_int,W)),
73.73/73.84	                     Z)))).
73.73/73.84	tff('11', plain,
73.73/73.84	    ![X265 : int, X266 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, plus_plus_int, X266)), X265)
73.73/73.84	       = app_encode_app(int, int, 
73.73/73.84	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	             hAPP_int_int, 
73.73/73.84	             app_encode_app(int, fun_int_int, plus_plus_int, X265)), X266),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_230])).
73.73/73.84	tff(zf_stmt_185, axiom,
73.73/73.84	  (![K_1:int,L:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,
73.73/73.84	                                                   app_encode_app(int,int,
73.73/73.84	                                                                  bit0,K_1))),
73.73/73.84	                     L) =
73.73/73.84	      app_encode_app(int,int,bit0,
73.73/73.84	                     app_encode_app(int,int,
73.73/73.84	                                    app_encode_app(fun_int_int,
73.73/73.84	                                                   app_encode_fun(int,int),
73.73/73.84	                                                   hAPP_int_int,
73.73/73.84	                                                   app_encode_app(int,
73.73/73.84	                                                                  fun_int_int,
73.73/73.84	                                                                  times_times_int,
73.73/73.84	                                                                  K_1)),
73.73/73.84	                                    L))))).
73.73/73.84	tff('12', plain,
73.73/73.84	    ![X154 : int, X155 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	            app_encode_app(int, int, bit0, X154))), X155)
73.73/73.84	       = app_encode_app(int, int, bit0, 
73.73/73.84	           app_encode_app(int, int, 
73.73/73.84	             app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	               hAPP_int_int, 
73.73/73.84	               app_encode_app(int, fun_int_int, times_times_int, X154)), 
73.73/73.84	             X155)),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_185])).
73.73/73.84	tff(zf_stmt_188, axiom,
73.73/73.84	  (![Z:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,
73.73/73.84	                                                   one_one_int)),
73.73/73.84	                     Z) =
73.73/73.84	      Z))).
73.73/73.84	tff('13', plain,
73.73/73.84	    ![X160 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, one_one_int)), 
73.73/73.84	        X160)
73.73/73.84	       = X160,
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_188])).
73.73/73.84	tff('14', plain,
73.73/73.84	    ![X160 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	            app_encode_app(int, int, bit1, zero_zero_int))), X160)
73.73/73.84	       = X160,
73.73/73.84	    inference('demod', [status(thm)], ['13', '10'])).
73.73/73.84	tff(zf_stmt_330, axiom,
73.73/73.84	  (![K_1:int,L:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   plus_plus_int,
73.73/73.84	                                                   app_encode_app(int,int,
73.73/73.84	                                                                  bit0,K_1))),
73.73/73.84	                     app_encode_app(int,int,bit1,L)) =
73.73/73.84	      app_encode_app(int,int,bit1,
73.73/73.84	                     app_encode_app(int,int,
73.73/73.84	                                    app_encode_app(fun_int_int,
73.73/73.84	                                                   app_encode_fun(int,int),
73.73/73.84	                                                   hAPP_int_int,
73.73/73.84	                                                   app_encode_app(int,
73.73/73.84	                                                                  fun_int_int,
73.73/73.84	                                                                  plus_plus_int,
73.73/73.84	                                                                  K_1)),
73.73/73.84	                                    L))))).
73.73/73.84	tff('15', plain,
73.73/73.84	    ![X418 : int, X419 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	            app_encode_app(int, int, bit0, X418))), 
73.73/73.84	        app_encode_app(int, int, bit1, X419))
73.73/73.84	       = app_encode_app(int, int, bit1, 
73.73/73.84	           app_encode_app(int, int, 
73.73/73.84	             app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	               hAPP_int_int, 
73.73/73.84	               app_encode_app(int, fun_int_int, plus_plus_int, X418)), X419)),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_330])).
73.73/73.84	tff(zf_stmt_276, axiom,
73.73/73.84	  (![K_1:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   plus_plus_int,pls)),
73.73/73.84	                     K_1) =
73.73/73.84	      K_1))).
73.73/73.84	tff('16', plain,
73.73/73.84	    ![X345 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, plus_plus_int, pls)), X345)
73.73/73.84	       = X345,
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_276])).
73.73/73.84	tff('17', plain,
73.73/73.84	    ![X345 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, plus_plus_int, zero_zero_int)), 
73.73/73.84	        X345)
73.73/73.84	       = X345,
73.73/73.84	    inference('demod', [status(thm)], ['16', '1'])).
73.73/73.84	tff(zf_stmt_257, axiom,
73.73/73.84	  (![K_1:int,L:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,
73.73/73.84	                                                   app_encode_app(int,int,
73.73/73.84	                                                                  bit1,K_1))),
73.73/73.84	                     L) =
73.73/73.84	      app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   plus_plus_int,
73.73/73.84	                                                   app_encode_app(int,int,
73.73/73.84	                                                                  bit0,
73.73/73.84	                                                                  app_encode_app(
73.73/73.84	                                                                  int,int,
73.73/73.84	                                                                  app_encode_app(
73.73/73.84	                                                                  fun_int_int,
73.73/73.84	                                                                  app_encode_fun(
73.73/73.84	                                                                  int,int),
73.73/73.84	                                                                  hAPP_int_int,
73.73/73.84	                                                                  app_encode_app(
73.73/73.84	                                                                  int,
73.73/73.84	                                                                  fun_int_int,
73.73/73.84	                                                                  times_times_int,
73.73/73.84	                                                                  K_1)),L)))),
73.73/73.84	                     L)))).
73.73/73.84	tff('18', plain,
73.73/73.84	    ![X314 : int, X315 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	            app_encode_app(int, int, bit1, X314))), X315)
73.73/73.84	       = app_encode_app(int, int, 
73.73/73.84	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	             hAPP_int_int, 
73.73/73.84	             app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	               app_encode_app(int, int, bit0, 
73.73/73.84	                 app_encode_app(int, int, 
73.73/73.84	                   app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                     hAPP_int_int, 
73.73/73.84	                     app_encode_app(int, fun_int_int, times_times_int, X314)), 
73.73/73.84	                   X315)))), X315),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_257])).
73.73/73.84	tff('19', plain,
73.73/73.84	    ![X314 : int, X315 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, 
73.73/73.84	            app_encode_app(int, int, bit1, X314))), X315)
73.73/73.84	       = app_encode_app(int, int, 
73.73/73.84	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	             hAPP_int_int, 
73.73/73.84	             app_encode_app(int, fun_int_int, plus_plus_int, X315)), 
73.73/73.84	           app_encode_app(int, int, bit0, 
73.73/73.84	             app_encode_app(int, int, 
73.73/73.84	               app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                 hAPP_int_int, 
73.73/73.84	                 app_encode_app(int, fun_int_int, times_times_int, X314)), 
73.73/73.84	               X315))),
73.73/73.84	    inference('demod', [status(thm)], ['18', '11'])).
73.73/73.84	tff(zf_stmt_131, axiom,
73.73/73.84	  (![Z:int,W:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,Z)),
73.73/73.84	                     W) =
73.73/73.84	      app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,W)),
73.73/73.84	                     Z)))).
73.73/73.84	tff('20', plain,
73.73/73.84	    ![X32 : int, X33 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, X33)), X32)
73.73/73.84	       = app_encode_app(int, int, 
73.73/73.84	           app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	             hAPP_int_int, 
73.73/73.84	             app_encode_app(int, fun_int_int, times_times_int, X32)), X33),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_131])).
73.73/73.84	tff(zf_stmt_184, axiom,
73.73/73.84	  (![W:int]:
73.73/73.84	     (app_encode_app(int,int,
73.73/73.84	                     app_encode_app(fun_int_int,app_encode_fun(int,int),
73.73/73.84	                                    hAPP_int_int,
73.73/73.84	                                    app_encode_app(int,fun_int_int,
73.73/73.84	                                                   times_times_int,pls)),
73.73/73.84	                     W) =
73.73/73.84	      pls))).
73.73/73.84	tff('21', plain,
73.73/73.84	    ![X153 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, pls)), X153)
73.73/73.84	       = pls,
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_184])).
73.73/73.84	tff('22', plain,
73.73/73.84	    ![X153 : int]:
73.73/73.84	      app_encode_app(int, int, 
73.73/73.84	        app_encode_app(fun_int_int, app_encode_fun(int, int), hAPP_int_int, 
73.73/73.84	          app_encode_app(int, fun_int_int, times_times_int, zero_zero_int)), 
73.73/73.84	        X153)
73.73/73.84	       = zero_zero_int,
73.73/73.84	    inference('demod', [status(thm)], ['21', '1', '1'])).
73.73/73.84	tff(zf_stmt_267, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
73.73/73.84	tff('23', plain, app_encode_app(int, int, bit0, pls) = pls,
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_267])).
73.73/73.84	tff('24', plain,
73.73/73.84	    app_encode_app(int, int, bit0, zero_zero_int) = zero_zero_int,
73.73/73.84	    inference('demod', [status(thm)], ['23', '1', '1'])).
73.73/73.84	tff('25', plain,
73.73/73.84	    app_encode_app(bool, $o, hBOOL, 
73.73/73.84	      app_encode_app(int, bool, 
73.73/73.84	        app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
73.73/73.84	          hAPP_int_bool, 
73.73/73.84	          app_encode_app(int, fun_int_bool, 
73.73/73.84	            app_encode_app(fun_int_fun_int_bool, 
73.73/73.84	              app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
73.73/73.84	              ord_less_int), 
73.73/73.84	            app_encode_app(int, int, 
73.73/73.84	              app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                hAPP_int_int, 
73.73/73.84	                app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                  app_encode_app(int, int, bit1, zero_zero_int))), 
73.73/73.84	              app_encode_app(int, int, 
73.73/73.84	                app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                  hAPP_int_int, 
73.73/73.84	                  app_encode_app(int, fun_int_int, times_times_int, s)), s)))), 
73.73/73.84	        zero_zero_int)),
73.73/73.84	    inference('demod', [status(thm)],
73.73/73.84	              ['6', '8', '10', '11', '12', '12', '14', '10', '15', '11', 
73.73/73.84	               '17', '19', '12', '20', '22', '24', '24', '17'])).
73.73/73.84	tff(zf_stmt_1300, conjecture,
73.73/73.84	  (app_encode_app(bool,$o,hBOOL,
73.73/73.84	                  app_encode_app(int,bool,
73.73/73.84	                                 app_encode_app(fun_int_bool,
73.73/73.84	                                                app_encode_fun(int,bool),
73.73/73.84	                                                hAPP_int_bool,
73.73/73.84	                                                app_encode_app(int,
73.73/73.84	                                                               fun_int_bool,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_fun_int_bool,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_bool),
73.73/73.84	                                                               hAPP_i1948725293t_bool,
73.73/73.84	                                                               ord_less_int),
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               int,int),
73.73/73.84	                                                               hAPP_int_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_int_int,
73.73/73.84	                                                               plus_plus_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               nat,int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               fun_nat_int,
73.73/73.84	                                                               app_encode_fun(
73.73/73.84	                                                               nat,int),
73.73/73.84	                                                               hAPP_nat_int,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,
73.73/73.84	                                                               fun_nat_int,
73.73/73.84	                                                               power_power_int,
73.73/73.84	                                                               s)),
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,nat,
73.73/73.84	                                                               number_number_of_nat,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit0,
73.73/73.84	                                                               app_encode_app(
73.73/73.84	                                                               int,int,bit1,
73.73/73.84	                                                               pls)))))),
73.73/73.84	                                                               one_one_int))),
73.73/73.84	                                 zero_zero_int)))).
73.73/73.84	tff(zf_stmt_0, negated_conjecture,
73.73/73.84	  (~
73.73/73.84	    app_encode_app(bool,$o,hBOOL,
73.73/73.84	                   app_encode_app(int,bool,
73.73/73.84	                                  app_encode_app(fun_int_bool,
73.73/73.84	                                                 app_encode_fun(int,bool),
73.73/73.84	                                                 hAPP_int_bool,
73.73/73.84	                                                 app_encode_app(int,
73.73/73.84	                                                                fun_int_bool,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                fun_int_fun_int_bool,
73.73/73.84	                                                                app_encode_fun(
73.73/73.84	                                                                int,
73.73/73.84	                                                                fun_int_bool),
73.73/73.84	                                                                hAPP_i1948725293t_bool,
73.73/73.84	                                                                ord_less_int),
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                int,int,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                fun_int_int,
73.73/73.84	                                                                app_encode_fun(
73.73/73.84	                                                                int,int),
73.73/73.84	                                                                hAPP_int_int,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                int,
73.73/73.84	                                                                fun_int_int,
73.73/73.84	                                                                plus_plus_int,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                nat,int,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                fun_nat_int,
73.73/73.84	                                                                app_encode_fun(
73.73/73.84	                                                                nat,int),
73.73/73.84	                                                                hAPP_nat_int,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                int,
73.73/73.84	                                                                fun_nat_int,
73.73/73.84	                                                                power_power_int,
73.73/73.84	                                                                s)),
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                int,nat,
73.73/73.84	                                                                number_number_of_nat,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                int,int,bit0,
73.73/73.84	                                                                app_encode_app(
73.73/73.84	                                                                int,int,bit1,
73.73/73.84	                                                                pls)))))),
73.73/73.84	                                                                one_one_int))),
73.73/73.84	                                  zero_zero_int)))).
73.73/73.84	tff('26', plain,
73.73/73.84	    ~ app_encode_app(bool, $o, hBOOL, 
73.73/73.84	        app_encode_app(int, bool, 
73.73/73.84	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
73.73/73.84	            hAPP_int_bool, 
73.73/73.84	            app_encode_app(int, fun_int_bool, 
73.73/73.84	              app_encode_app(fun_int_fun_int_bool, 
73.73/73.84	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
73.73/73.84	                ord_less_int), 
73.73/73.84	              app_encode_app(int, int, 
73.73/73.84	                app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                  hAPP_int_int, 
73.73/73.84	                  app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                    app_encode_app(nat, int, 
73.73/73.84	                      app_encode_app(fun_nat_int, app_encode_fun(nat, int), 
73.73/73.84	                        hAPP_nat_int, 
73.73/73.84	                        app_encode_app(int, fun_nat_int, power_power_int, s)), 
73.73/73.84	                      app_encode_app(int, nat, number_number_of_nat, 
73.73/73.84	                        app_encode_app(int, int, bit0, 
73.73/73.84	                          app_encode_app(int, int, bit1, pls)))))), 
73.73/73.84	                one_one_int))), zero_zero_int)),
73.73/73.84	    inference('cnf', [status(esa)], [zf_stmt_0])).
73.73/73.84	tff('27', plain,
73.73/73.84	    ~ app_encode_app(bool, $o, hBOOL, 
73.73/73.84	        app_encode_app(int, bool, 
73.73/73.84	          app_encode_app(fun_int_bool, app_encode_fun(int, bool), 
73.73/73.84	            hAPP_int_bool, 
73.73/73.84	            app_encode_app(int, fun_int_bool, 
73.73/73.84	              app_encode_app(fun_int_fun_int_bool, 
73.73/73.84	                app_encode_fun(int, fun_int_bool), hAPP_i1948725293t_bool, 
73.73/73.84	                ord_less_int), 
73.73/73.84	              app_encode_app(int, int, 
73.73/73.84	                app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                  hAPP_int_int, 
73.73/73.84	                  app_encode_app(int, fun_int_int, plus_plus_int, 
73.73/73.84	                    app_encode_app(int, int, bit1, zero_zero_int))), 
73.73/73.84	                app_encode_app(int, int, 
73.73/73.84	                  app_encode_app(fun_int_int, app_encode_fun(int, int), 
73.73/73.84	                    hAPP_int_int, 
73.73/73.84	                    app_encode_app(int, fun_int_int, times_times_int, s)), s)))), 
73.73/73.84	          zero_zero_int)),
73.73/73.84	    inference('demod', [status(thm)], ['26', '1', '8', '10', '11'])).
73.73/73.84	tff('28', plain, ~ $true, inference('sup-', [status(thm)], ['25', '27'])).
73.73/73.84	tff('29', plain, $false, inference('simplify', [status(thm)], ['28'])).
73.73/73.84	
73.73/73.84	% SZS output end Refutation
73.73/73.85	EOF
