0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n078.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:30:54 CST 2018
14.78/15.00	% done 6299 iterations in 14.800s
14.78/15.00	% SZS status Theorem for 'stdin'
14.78/15.00	% SZS output start Refutation
14.87/15.01	tff(zf_stmt_51, axiom,
14.87/15.01	  (app_encode_app(int,$o,
14.87/15.01	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
14.87/15.01	                                 app_encode_app(int,int,
14.87/15.01	                                                app_encode_app(int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               times_times_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               plus_plus_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               times_times_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               number_number_of_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit1,
14.87/15.01	                                                               pls))))),m)),
14.87/15.01	                                                               one_one_int)),
14.87/15.01	                                                t)),
14.87/15.01	                  app_encode_app(int,int,
14.87/15.01	                                 app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                                times_times_int,
14.87/15.01	                                                app_encode_app(int,int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               plus_plus_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               times_times_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               number_number_of_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit1,
14.87/15.01	                                                               pls))))),m)),
14.87/15.01	                                                               one_one_int)),
14.87/15.01	                                 zero_zero_int)))).
14.87/15.01	tff('0', plain,
14.87/15.01	    app_encode_app(int, $o, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.87/15.01	        app_encode_app(int, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	            app_encode_app(int, int, 
14.87/15.01	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	                app_encode_app(int, int, 
14.87/15.01	                  app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                    times_times_int, 
14.87/15.01	                    app_encode_app(int, int, number_number_of_int, 
14.87/15.01	                      app_encode_app(int, int, bit0, 
14.87/15.01	                        app_encode_app(int, int, bit0, 
14.87/15.01	                          app_encode_app(int, int, bit1, pls))))), m)), 
14.87/15.01	              one_one_int)), t)), 
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	          app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	              app_encode_app(int, int, 
14.87/15.01	                app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                  times_times_int, 
14.87/15.01	                  app_encode_app(int, int, number_number_of_int, 
14.87/15.01	                    app_encode_app(int, int, bit0, 
14.87/15.01	                      app_encode_app(int, int, bit0, 
14.87/15.01	                        app_encode_app(int, int, bit1, pls))))), m)), 
14.87/15.01	            one_one_int)), zero_zero_int)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_51])).
14.87/15.01	tff(zf_stmt_207, axiom,
14.87/15.01	  (one_one_int =
14.87/15.01	   app_encode_app(int,int,number_number_of_int,
14.87/15.01	                  app_encode_app(int,int,bit1,pls)))).
14.87/15.01	tff('1', plain,
14.87/15.01	    one_one_int
14.87/15.01	     = app_encode_app(int, int, number_number_of_int, 
14.87/15.01	         app_encode_app(int, int, bit1, pls)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_207])).
14.87/15.01	tff(zf_stmt_83, axiom,
14.87/15.01	  (![K_1:int]: (app_encode_app(int,int,number_number_of_int,K_1) = K_1))).
14.87/15.01	tff('2', plain,
14.87/15.01	    ![X35 : int]: app_encode_app(int, int, number_number_of_int, X35) = X35,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_83])).
14.87/15.01	tff('3', plain, one_one_int = app_encode_app(int, int, bit1, pls),
14.87/15.01	    inference('demod', [status(thm)], ['1', '2'])).
14.87/15.01	tff(zf_stmt_219, axiom, (pls = zero_zero_int)).
14.87/15.01	tff('4', plain, pls = zero_zero_int,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_219])).
14.87/15.01	tff('5', plain,
14.87/15.01	    app_encode_app(int, $o, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.87/15.01	        app_encode_app(int, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	            app_encode_app(int, int, 
14.87/15.01	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	                app_encode_app(int, int, 
14.87/15.01	                  app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                    times_times_int, 
14.87/15.01	                    app_encode_app(int, int, bit0, 
14.87/15.01	                      app_encode_app(int, int, bit0, one_one_int))), m)), 
14.87/15.01	              one_one_int)), t)), 
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	          app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	              app_encode_app(int, int, 
14.87/15.01	                app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                  times_times_int, 
14.87/15.01	                  app_encode_app(int, int, bit0, 
14.87/15.01	                    app_encode_app(int, int, bit0, one_one_int))), m)), 
14.87/15.01	            one_one_int)), pls)),
14.87/15.01	    inference('demod', [status(thm)], ['0', '3', '2', '3', '2', '4'])).
14.87/15.01	tff(zf_stmt_52, axiom,
14.87/15.01	  (app_encode_app(int,int,
14.87/15.01	                  app_encode_app(int,app_encode_fun(int,int),plus_plus_int,
14.87/15.01	                                 app_encode_app(nat,int,
14.87/15.01	                                                app_encode_app(int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               nat,int),
14.87/15.01	                                                               power_power_int,
14.87/15.01	                                                               s),
14.87/15.01	                                                app_encode_app(int,nat,
14.87/15.01	                                                               number_number_of_nat,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit1,
14.87/15.01	                                                               pls))))),
14.87/15.01	                  one_one_int) =
14.87/15.01	   app_encode_app(int,int,
14.87/15.01	                  app_encode_app(int,app_encode_fun(int,int),times_times_int,
14.87/15.01	                                 app_encode_app(int,int,
14.87/15.01	                                                app_encode_app(int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               plus_plus_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               times_times_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,
14.87/15.01	                                                               number_number_of_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit1,
14.87/15.01	                                                               pls))))),m)),
14.87/15.01	                                                one_one_int)),
14.87/15.01	                  t))).
14.87/15.01	tff('6', plain,
14.87/15.01	    app_encode_app(int, int, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	        app_encode_app(nat, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.87/15.01	          app_encode_app(int, nat, number_number_of_nat, 
14.87/15.01	            app_encode_app(int, int, bit0, 
14.87/15.01	              app_encode_app(int, int, bit1, pls))))), one_one_int)
14.87/15.01	     = app_encode_app(int, int, 
14.87/15.01	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               app_encode_app(int, int, 
14.87/15.01	                 app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                   times_times_int, 
14.87/15.01	                   app_encode_app(int, int, number_number_of_int, 
14.87/15.01	                     app_encode_app(int, int, bit0, 
14.87/15.01	                       app_encode_app(int, int, bit0, 
14.87/15.01	                         app_encode_app(int, int, bit1, pls))))), m)), 
14.87/15.01	             one_one_int)), t),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_52])).
14.87/15.01	tff('7', plain,
14.87/15.01	    app_encode_app(int, int, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	        app_encode_app(nat, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.87/15.01	          app_encode_app(int, nat, number_number_of_nat, 
14.87/15.01	            app_encode_app(int, int, bit0, one_one_int)))), one_one_int)
14.87/15.01	     = app_encode_app(int, int, 
14.87/15.01	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               app_encode_app(int, int, 
14.87/15.01	                 app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                   times_times_int, 
14.87/15.01	                   app_encode_app(int, int, bit0, 
14.87/15.01	                     app_encode_app(int, int, bit0, one_one_int))), m)), 
14.87/15.01	             one_one_int)), t),
14.87/15.01	    inference('demod', [status(thm)], ['6', '3', '3', '2'])).
14.87/15.01	tff('8', plain,
14.87/15.01	    app_encode_app(int, $o, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.87/15.01	        app_encode_app(int, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	            app_encode_app(nat, int, 
14.87/15.01	              app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
14.87/15.01	                s), 
14.87/15.01	              app_encode_app(int, nat, number_number_of_nat, 
14.87/15.01	                app_encode_app(int, int, bit0, one_one_int)))), one_one_int)), 
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	          app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	              app_encode_app(int, int, 
14.87/15.01	                app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                  times_times_int, 
14.87/15.01	                  app_encode_app(int, int, bit0, 
14.87/15.01	                    app_encode_app(int, int, bit0, one_one_int))), m)), 
14.87/15.01	            one_one_int)), pls)),
14.87/15.01	    inference('demod', [status(thm)], ['5', '7'])).
14.87/15.01	tff(zf_stmt_141, axiom,
14.87/15.01	  (![Z:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    times_times_int,one_one_int),
14.87/15.01	                     Z) =
14.87/15.01	      Z))).
14.87/15.01	tff('9', plain,
14.87/15.01	    ![X164 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	          one_one_int), X164)
14.87/15.01	       = X164,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_141])).
14.87/15.01	tff(zf_stmt_537, axiom,
14.87/15.01	  (![A_13:int,B_1:int,Ma:int]:
14.87/15.01	     (app_encode_app(int,$o,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,$o),
14.87/15.01	                                    app_encode_app(int,
14.87/15.01	                                                   app_encode_fun(int,
14.87/15.01	                                                                  app_encode_fun(
14.87/15.01	                                                                  int,$o)),
14.87/15.01	                                                   zcong,A_13),
14.87/15.01	                                    B_1),
14.87/15.01	                     Ma) <=>
14.87/15.01	      (?[K_2:int]:
14.87/15.01	         (B_1 =
14.87/15.01	          app_encode_app(int,int,
14.87/15.01	                         app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                        plus_plus_int,A_13),
14.87/15.01	                         app_encode_app(int,int,
14.87/15.01	                                        app_encode_app(int,
14.87/15.01	                                                       app_encode_fun(
14.87/15.01	                                                       int,int),
14.87/15.01	                                                       times_times_int,Ma),
14.87/15.01	                                        K_2))))))).
14.87/15.01	tff('10', plain,
14.87/15.01	    ![X960 : int, X961 : int, X962 : int]:
14.87/15.01	      (X962
14.87/15.01	        = app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	              X960), 
14.87/15.01	            app_encode_app(int, int, 
14.87/15.01	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	                X961), sk_K_2(X961, X962, X960)))
14.87/15.01	       | ~ app_encode_app(int, $o, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, $o), 
14.87/15.01	               app_encode_app(int, 
14.87/15.01	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, X960), 
14.87/15.01	               X962), X961)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_537])).
14.87/15.01	tff('11', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      (X1
14.87/15.01	        = app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	            sk_K_2(one_one_int, X1, X0))
14.87/15.01	       | ~ app_encode_app(int, $o, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, $o), 
14.87/15.01	               app_encode_app(int, 
14.87/15.01	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, X0), 
14.87/15.01	               X1), one_one_int)),
14.87/15.01	    inference('sup+', [status(thm)], ['9', '10'])).
14.87/15.01	tff(zf_stmt_528, axiom,
14.87/15.01	  (![A:int,B:int]:
14.87/15.01	     app_encode_app(int,$o,
14.87/15.01	                    app_encode_app(int,app_encode_fun(int,$o),
14.87/15.01	                                   app_encode_app(int,
14.87/15.01	                                                  app_encode_fun(int,
14.87/15.01	                                                                 app_encode_fun(
14.87/15.01	                                                                 int,$o)),
14.87/15.01	                                                  zcong,A),
14.87/15.01	                                   B),
14.87/15.01	                    one_one_int))).
14.87/15.01	tff('12', plain,
14.87/15.01	    ![X932 : int, X933 : int]:
14.87/15.01	      app_encode_app(int, $o, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, $o), 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
14.87/15.01	            zcong, X932), X933), one_one_int),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_528])).
14.87/15.01	tff('13', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      (X1
14.87/15.01	        = app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	            sk_K_2(one_one_int, X1, X0))
14.87/15.01	       | ~ $true),
14.87/15.01	    inference('demod', [status(thm)], ['11', '12'])).
14.87/15.01	tff('14', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      X1
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	           sk_K_2(one_one_int, X1, X0)),
14.87/15.01	    inference('simplify', [status(thm)], ['13'])).
14.87/15.01	tff(zf_stmt_495, axiom, (app_encode_app(int,int,bit1,min) = min)).
14.87/15.01	tff('15', plain, app_encode_app(int, int, bit1, min) = min,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_495])).
14.87/15.01	tff(zf_stmt_280, axiom,
14.87/15.01	  (![K_1:int,L:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,
14.87/15.01	                                    app_encode_app(int,int,bit1,K_1)),
14.87/15.01	                     app_encode_app(int,int,bit0,L)) =
14.87/15.01	      app_encode_app(int,int,bit1,
14.87/15.01	                     app_encode_app(int,int,
14.87/15.01	                                    app_encode_app(int,
14.87/15.01	                                                   app_encode_fun(int,int),
14.87/15.01	                                                   plus_plus_int,K_1),
14.87/15.01	                                    L))))).
14.87/15.01	tff('16', plain,
14.87/15.01	    ![X416 : int, X417 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          app_encode_app(int, int, bit1, X416)), 
14.87/15.01	        app_encode_app(int, int, bit0, X417))
14.87/15.01	       = app_encode_app(int, int, bit1, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               X416), X417)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_280])).
14.87/15.01	tff('17', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          one_one_int), app_encode_app(int, int, bit0, X0))
14.87/15.01	       = app_encode_app(int, int, bit1, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               pls), X0)),
14.87/15.01	    inference('sup+', [status(thm)], ['3', '16'])).
14.87/15.01	tff(zf_stmt_227, axiom,
14.87/15.01	  (![K_1:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,pls),
14.87/15.01	                     K_1) =
14.87/15.01	      K_1))).
14.87/15.01	tff('18', plain,
14.87/15.01	    ![X345 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
14.87/15.01	        X345)
14.87/15.01	       = X345,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_227])).
14.87/15.01	tff('19', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          one_one_int), app_encode_app(int, int, bit0, X0))
14.87/15.01	       = app_encode_app(int, int, bit1, X0),
14.87/15.01	    inference('demod', [status(thm)], ['17', '18'])).
14.87/15.01	tff(zf_stmt_229, axiom,
14.87/15.01	  (![K_1:int]:
14.87/15.01	     (app_encode_app(int,int,bit0,K_1) =
14.87/15.01	      app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,K_1),
14.87/15.01	                     K_1)))).
14.87/15.01	tff('20', plain,
14.87/15.01	    ![X348 : int]:
14.87/15.01	      app_encode_app(int, int, bit0, X348)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X348), 
14.87/15.01	           X348),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_229])).
14.87/15.01	tff(zf_stmt_179, axiom,
14.87/15.01	  (![Z1:int,Z2:int,Z3:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,
14.87/15.01	                                    app_encode_app(int,int,
14.87/15.01	                                                   app_encode_app(int,
14.87/15.01	                                                                  app_encode_fun(
14.87/15.01	                                                                  int,int),
14.87/15.01	                                                                  plus_plus_int,
14.87/15.01	                                                                  Z1),
14.87/15.01	                                                   Z2)),
14.87/15.01	                     Z3) =
14.87/15.01	      app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,Z1),
14.87/15.01	                     app_encode_app(int,int,
14.87/15.01	                                    app_encode_app(int,
14.87/15.01	                                                   app_encode_fun(int,int),
14.87/15.01	                                                   plus_plus_int,Z2),
14.87/15.01	                                    Z3))))).
14.87/15.01	tff('21', plain,
14.87/15.01	    ![X259 : int, X260 : int, X261 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	              X259), X260)), X261)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X259), 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               X260), X261)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_179])).
14.87/15.01	tff('22', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          app_encode_app(int, int, bit0, X0)), X1)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	             X1)),
14.87/15.01	    inference('sup+', [status(thm)], ['20', '21'])).
14.87/15.01	tff('23', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          app_encode_app(int, int, bit0, one_one_int)), 
14.87/15.01	        app_encode_app(int, int, bit0, X0))
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             one_one_int), app_encode_app(int, int, bit1, X0)),
14.87/15.01	    inference('sup+', [status(thm)], ['19', '22'])).
14.87/15.01	tff(zf_stmt_228, axiom,
14.87/15.01	  (![K_1:int,L:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,
14.87/15.01	                                    app_encode_app(int,int,bit0,K_1)),
14.87/15.01	                     app_encode_app(int,int,bit0,L)) =
14.87/15.01	      app_encode_app(int,int,bit0,
14.87/15.01	                     app_encode_app(int,int,
14.87/15.01	                                    app_encode_app(int,
14.87/15.01	                                                   app_encode_fun(int,int),
14.87/15.01	                                                   plus_plus_int,K_1),
14.87/15.01	                                    L))))).
14.87/15.01	tff('24', plain,
14.87/15.01	    ![X346 : int, X347 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          app_encode_app(int, int, bit0, X346)), 
14.87/15.01	        app_encode_app(int, int, bit0, X347))
14.87/15.01	       = app_encode_app(int, int, bit0, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               X346), X347)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_228])).
14.87/15.01	tff(zf_stmt_181, axiom,
14.87/15.01	  (![Z:int,W:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,Z),
14.87/15.01	                     W) =
14.87/15.01	      app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,W),
14.87/15.01	                     Z)))).
14.87/15.01	tff('25', plain,
14.87/15.01	    ![X265 : int, X266 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X266), 
14.87/15.01	        X265)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X265), 
14.87/15.01	           X266),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_181])).
14.87/15.01	tff('26', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          app_encode_app(int, int, bit0, X0)), 
14.87/15.01	        app_encode_app(int, int, bit0, X1))
14.87/15.01	       = app_encode_app(int, int, bit0, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X1), 
14.87/15.01	             X0)),
14.87/15.01	    inference('sup+', [status(thm)], ['24', '25'])).
14.87/15.01	tff('27', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, bit0, 
14.87/15.01	        app_encode_app(int, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	          one_one_int))
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             one_one_int), app_encode_app(int, int, bit1, X0)),
14.87/15.01	    inference('demod', [status(thm)], ['23', '26'])).
14.87/15.01	tff('28', plain,
14.87/15.01	    app_encode_app(int, int, bit0, 
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, min), 
14.87/15.01	        one_one_int))
14.87/15.01	     = app_encode_app(int, int, 
14.87/15.01	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	           one_one_int), min),
14.87/15.01	    inference('sup+', [status(thm)], ['15', '27'])).
14.87/15.01	tff('29', plain,
14.87/15.01	    app_encode_app(int, int, bit0, 
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	          one_one_int), min))
14.87/15.01	     = app_encode_app(int, int, 
14.87/15.01	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	           one_one_int), min),
14.87/15.01	    inference('demod', [status(thm)], ['28', '25'])).
14.87/15.01	tff(zf_stmt_420, axiom,
14.87/15.01	  (![B_1:int,A_13:int]:
14.87/15.01	     ((B_1 =
14.87/15.01	       app_encode_app(int,int,
14.87/15.01	                      app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                     plus_plus_int,B_1),
14.87/15.01	                      A_13)) <=>
14.87/15.01	      (A_13 = zero_zero_int)))).
14.87/15.01	tff('30', plain,
14.87/15.01	    ![X700 : int, X701 : int]:
14.87/15.01	      (X700 = zero_zero_int
14.87/15.01	       | X701
14.87/15.01	          != app_encode_app(int, int, 
14.87/15.01	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	                 X701), X700)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_420])).
14.87/15.01	tff('31', plain,
14.87/15.01	    ![X700 : int, X701 : int]:
14.87/15.01	      (X700 = pls
14.87/15.01	       | X701
14.87/15.01	          != app_encode_app(int, int, 
14.87/15.01	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	                 X701), X700)),
14.87/15.01	    inference('demod', [status(thm)], ['30', '4'])).
14.87/15.01	tff('32', plain,
14.87/15.01	    ![X0 : int]: (X0 != app_encode_app(int, int, bit0, X0) | X0 = pls),
14.87/15.01	    inference('sup-', [status(thm)], ['20', '31'])).
14.87/15.01	tff('33', plain,
14.87/15.01	    (app_encode_app(int, int, 
14.87/15.01	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	         one_one_int), min)
14.87/15.01	      != app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             one_one_int), min)
14.87/15.01	     | app_encode_app(int, int, 
14.87/15.01	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	           one_one_int), min)
14.87/15.01	        = pls),
14.87/15.01	    inference('sup-', [status(thm)], ['29', '32'])).
14.87/15.01	tff('34', plain,
14.87/15.01	    app_encode_app(int, int, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	        one_one_int), min)
14.87/15.01	     = pls,
14.87/15.01	    inference('simplify', [status(thm)], ['33'])).
14.87/15.01	tff('35', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
14.87/15.01	        X0)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             one_one_int), 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               min), X0)),
14.87/15.01	    inference('sup+', [status(thm)], ['34', '21'])).
14.87/15.01	tff('36', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      X0
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             one_one_int), 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	               min), X0)),
14.87/15.01	    inference('demod', [status(thm)], ['35', '18'])).
14.87/15.01	tff('37', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      sk_K_2(one_one_int, X0, min)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             one_one_int), X0),
14.87/15.01	    inference('sup+', [status(thm)], ['14', '36'])).
14.87/15.01	tff('38', plain,
14.87/15.01	    app_encode_app(int, int, bit0, one_one_int)
14.87/15.01	     = sk_K_2(one_one_int, one_one_int, min),
14.87/15.01	    inference('sup+', [status(thm)], ['37', '20'])).
14.87/15.01	tff('39', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	        one_one_int)
14.87/15.01	       = sk_K_2(one_one_int, X0, min),
14.87/15.01	    inference('sup+', [status(thm)], ['37', '25'])).
14.87/15.01	tff(zf_stmt_144, axiom,
14.87/15.01	  (![W:int,Z1:int,Z2:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    times_times_int,W),
14.87/15.01	                     app_encode_app(int,int,
14.87/15.01	                                    app_encode_app(int,
14.87/15.01	                                                   app_encode_fun(int,int),
14.87/15.01	                                                   plus_plus_int,Z1),
14.87/15.01	                                    Z2)) =
14.87/15.01	      app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    plus_plus_int,
14.87/15.01	                                    app_encode_app(int,int,
14.87/15.01	                                                   app_encode_app(int,
14.87/15.01	                                                                  app_encode_fun(
14.87/15.01	                                                                  int,int),
14.87/15.01	                                                                  times_times_int,
14.87/15.01	                                                                  W),
14.87/15.01	                                                   Z1)),
14.87/15.01	                     app_encode_app(int,int,
14.87/15.01	                                    app_encode_app(int,
14.87/15.01	                                                   app_encode_fun(int,int),
14.87/15.01	                                                   times_times_int,W),
14.87/15.01	                                    Z2))))).
14.87/15.01	tff('40', plain,
14.87/15.01	    ![X170 : int, X171 : int, X172 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X170), 
14.87/15.01	        app_encode_app(int, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X171), 
14.87/15.01	          X172))
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	             app_encode_app(int, int, 
14.87/15.01	               app_encode_app(int, app_encode_fun(int, int), 
14.87/15.01	                 times_times_int, X170), X171)), 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	               X170), X172)),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_144])).
14.87/15.01	tff('41', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X1), 
14.87/15.01	        app_encode_app(int, int, 
14.87/15.01	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.87/15.01	          X0))
14.87/15.01	       = app_encode_app(int, int, bit0, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	               X1), X0)),
14.87/15.01	    inference('sup+', [status(thm)], ['20', '40'])).
14.87/15.01	tff('42', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X1), 
14.87/15.01	        app_encode_app(int, int, bit0, X0))
14.87/15.01	       = app_encode_app(int, int, bit0, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	               X1), X0)),
14.87/15.01	    inference('demod', [status(thm)], ['41', '20'])).
14.87/15.01	tff(zf_stmt_84, axiom,
14.87/15.01	  (![Z:int,W:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    times_times_int,Z),
14.87/15.01	                     W) =
14.87/15.01	      app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    times_times_int,W),
14.87/15.01	                     Z)))).
14.87/15.01	tff('43', plain,
14.87/15.01	    ![X36 : int, X37 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X37), 
14.87/15.01	        X36)
14.87/15.01	       = app_encode_app(int, int, 
14.87/15.01	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	             X36), X37),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_84])).
14.87/15.01	tff('44', plain,
14.87/15.01	    ![X0 : int, X1 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	          app_encode_app(int, int, bit0, X0)), X1)
14.87/15.01	       = app_encode_app(int, int, bit0, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	               X1), X0)),
14.87/15.01	    inference('sup+', [status(thm)], ['42', '43'])).
14.87/15.01	tff('45', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
14.87/15.01	        sk_K_2(one_one_int, one_one_int, min))
14.87/15.01	       = app_encode_app(int, int, bit0, 
14.87/15.01	           app_encode_app(int, int, 
14.87/15.01	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.87/15.01	               X0), one_one_int)),
14.87/15.01	    inference('sup+', [status(thm)], ['38', '42'])).
14.87/15.01	tff(zf_stmt_140, axiom,
14.87/15.01	  (![Z:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    times_times_int,Z),
14.87/15.01	                     one_one_int) =
14.87/15.01	      Z))).
14.87/15.01	tff('46', plain,
14.87/15.01	    ![X163 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X163), 
14.87/15.01	        one_one_int)
14.87/15.01	       = X163,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_140])).
14.87/15.01	tff('47', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
14.87/15.01	        sk_K_2(one_one_int, one_one_int, min))
14.87/15.01	       = app_encode_app(int, int, bit0, X0),
14.87/15.01	    inference('demod', [status(thm)], ['45', '46'])).
14.87/15.01	tff('48', plain,
14.87/15.01	    ![X0 : int]:
14.87/15.01	      sk_K_2(one_one_int, app_encode_app(int, int, bit0, X0), min)
14.87/15.01	       = app_encode_app(int, int, bit1, X0),
14.87/15.01	    inference('demod', [status(thm)], ['19', '37'])).
14.87/15.01	tff(zf_stmt_137, axiom,
14.87/15.01	  (![W:int]:
14.87/15.01	     (app_encode_app(int,int,
14.87/15.01	                     app_encode_app(int,app_encode_fun(int,int),
14.87/15.01	                                    times_times_int,pls),
14.87/15.01	                     W) =
14.87/15.01	      pls))).
14.87/15.01	tff('49', plain,
14.87/15.01	    ![X157 : int]:
14.87/15.01	      app_encode_app(int, int, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, int), times_times_int, pls), 
14.87/15.01	        X157)
14.87/15.01	       = pls,
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_137])).
14.87/15.01	tff('50', plain,
14.87/15.01	    app_encode_app(int, $o, 
14.87/15.01	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.87/15.01	        sk_K_2(one_one_int, 
14.87/15.01	          app_encode_app(nat, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.87/15.01	            app_encode_app(int, nat, number_number_of_nat, 
14.87/15.01	              sk_K_2(one_one_int, one_one_int, min))), min)), pls),
14.87/15.01	    inference('demod', [status(thm)],
14.87/15.01	              ['8', '38', '39', '38', '44', '47', '39', '48', '43', '49'])).
14.87/15.01	tff(zf_stmt_747, conjecture,
14.87/15.01	  (app_encode_app(int,$o,
14.87/15.01	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
14.87/15.01	                                 app_encode_app(int,int,
14.87/15.01	                                                app_encode_app(int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               int,int),
14.87/15.01	                                                               plus_plus_int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               nat,int,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,
14.87/15.01	                                                               app_encode_fun(
14.87/15.01	                                                               nat,int),
14.87/15.01	                                                               power_power_int,
14.87/15.01	                                                               s),
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,nat,
14.87/15.01	                                                               number_number_of_nat,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit0,
14.87/15.01	                                                               app_encode_app(
14.87/15.01	                                                               int,int,bit1,
14.87/15.01	                                                               pls))))),
14.87/15.01	                                                one_one_int)),
14.87/15.01	                  zero_zero_int))).
14.87/15.01	tff(zf_stmt_0, negated_conjecture,
14.87/15.01	  (~
14.87/15.01	    app_encode_app(int,$o,
14.87/15.01	                   app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
14.87/15.01	                                  app_encode_app(int,int,
14.87/15.01	                                                 app_encode_app(int,
14.87/15.01	                                                                app_encode_fun(
14.87/15.01	                                                                int,int),
14.87/15.01	                                                                plus_plus_int,
14.87/15.01	                                                                app_encode_app(
14.87/15.01	                                                                nat,int,
14.87/15.01	                                                                app_encode_app(
14.87/15.01	                                                                int,
14.87/15.01	                                                                app_encode_fun(
14.87/15.01	                                                                nat,int),
14.87/15.01	                                                                power_power_int,
14.87/15.01	                                                                s),
14.87/15.01	                                                                app_encode_app(
14.87/15.01	                                                                int,nat,
14.87/15.01	                                                                number_number_of_nat,
14.87/15.01	                                                                app_encode_app(
14.87/15.01	                                                                int,int,bit0,
14.87/15.01	                                                                app_encode_app(
14.87/15.01	                                                                int,int,bit1,
14.87/15.01	                                                                pls))))),
14.87/15.01	                                                 one_one_int)),
14.87/15.01	                   zero_zero_int))).
14.87/15.01	tff('51', plain,
14.87/15.01	    ~ app_encode_app(int, $o, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.87/15.01	          app_encode_app(int, int, 
14.87/15.01	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.87/15.01	              app_encode_app(nat, int, 
14.87/15.01	                app_encode_app(int, app_encode_fun(nat, int), 
14.87/15.01	                  power_power_int, s), 
14.87/15.01	                app_encode_app(int, nat, number_number_of_nat, 
14.87/15.01	                  app_encode_app(int, int, bit0, 
14.87/15.01	                    app_encode_app(int, int, bit1, pls))))), one_one_int)), 
14.87/15.01	        zero_zero_int),
14.87/15.01	    inference('cnf', [status(esa)], [zf_stmt_0])).
14.87/15.01	tff('52', plain,
14.87/15.01	    ~ app_encode_app(int, $o, 
14.87/15.01	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.87/15.01	          sk_K_2(one_one_int, 
14.87/15.01	            app_encode_app(nat, int, 
14.87/15.01	              app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
14.87/15.01	                s), 
14.87/15.01	              app_encode_app(int, nat, number_number_of_nat, 
14.87/15.01	                sk_K_2(one_one_int, one_one_int, min))), min)), pls),
14.87/15.01	    inference('demod', [status(thm)], ['51', '3', '38', '39', '4'])).
14.87/15.01	tff('53', plain, ~ $true, inference('sup-', [status(thm)], ['50', '52'])).
14.87/15.01	tff('54', plain, $false, inference('simplify', [status(thm)], ['53'])).
14.87/15.01	
14.87/15.01	% SZS output end Refutation
14.87/15.01	EOF
