0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n059.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 07:33:38 CST 2018
14.60/14.76	% done 6551 iterations in 14.558s
14.60/14.76	% SZS status Theorem for 'stdin'
14.60/14.76	% SZS output start Refutation
14.60/14.76	tff(zf_stmt_51, axiom,
14.60/14.76	  (app_encode_app(int,int,
14.60/14.76	                  app_encode_app(int,app_encode_fun(int,int),plus_plus_int,
14.60/14.76	                                 app_encode_app(nat,int,
14.60/14.76	                                                app_encode_app(int,
14.60/14.76	                                                               app_encode_fun(
14.60/14.76	                                                               nat,int),
14.60/14.76	                                                               power_power_int,
14.60/14.76	                                                               s),
14.60/14.76	                                                app_encode_app(int,nat,
14.60/14.76	                                                               number_number_of_nat,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,bit0,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,bit1,
14.60/14.76	                                                               pls))))),
14.60/14.76	                  one_one_int) =
14.60/14.76	   app_encode_app(int,int,
14.60/14.76	                  app_encode_app(int,app_encode_fun(int,int),times_times_int,
14.60/14.76	                                 app_encode_app(int,int,
14.60/14.76	                                                app_encode_app(int,
14.60/14.76	                                                               app_encode_fun(
14.60/14.76	                                                               int,int),
14.60/14.76	                                                               plus_plus_int,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,
14.60/14.76	                                                               app_encode_fun(
14.60/14.76	                                                               int,int),
14.60/14.76	                                                               times_times_int,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,
14.60/14.76	                                                               number_number_of_int,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,bit0,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,bit0,
14.60/14.76	                                                               app_encode_app(
14.60/14.76	                                                               int,int,bit1,
14.60/14.76	                                                               pls))))),m)),
14.60/14.76	                                                one_one_int)),
14.60/14.76	                  t))).
14.60/14.76	tff('0', plain,
14.60/14.76	    app_encode_app(int, int, 
14.60/14.76	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	        app_encode_app(nat, int, 
14.60/14.76	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.60/14.76	          app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	            app_encode_app(int, int, bit0, 
14.60/14.76	              app_encode_app(int, int, bit1, pls))))), one_one_int)
14.60/14.76	     = app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               app_encode_app(int, int, 
14.60/14.76	                 app_encode_app(int, app_encode_fun(int, int), 
14.60/14.76	                   times_times_int, 
14.60/14.76	                   app_encode_app(int, int, number_number_of_int, 
14.60/14.76	                     app_encode_app(int, int, bit0, 
14.60/14.76	                       app_encode_app(int, int, bit0, 
14.60/14.76	                         app_encode_app(int, int, bit1, pls))))), m)), 
14.60/14.76	             one_one_int)), t),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_51])).
14.60/14.76	tff(zf_stmt_206, axiom,
14.60/14.76	  (one_one_int =
14.60/14.76	   app_encode_app(int,int,number_number_of_int,
14.60/14.76	                  app_encode_app(int,int,bit1,pls)))).
14.60/14.76	tff('1', plain,
14.60/14.76	    one_one_int
14.60/14.76	     = app_encode_app(int, int, number_number_of_int, 
14.60/14.76	         app_encode_app(int, int, bit1, pls)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_206])).
14.60/14.76	tff(zf_stmt_82, axiom,
14.60/14.76	  (![K:int]: (app_encode_app(int,int,number_number_of_int,K) = K))).
14.60/14.76	tff('2', plain,
14.60/14.76	    ![X31 : int]: app_encode_app(int, int, number_number_of_int, X31) = X31,
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_82])).
14.60/14.76	tff('3', plain, one_one_int = app_encode_app(int, int, bit1, pls),
14.60/14.76	    inference('demod', [status(thm)], ['1', '2'])).
14.60/14.76	tff('4', plain,
14.60/14.76	    app_encode_app(int, int, 
14.60/14.76	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	        app_encode_app(nat, int, 
14.60/14.76	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.60/14.76	          app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	            app_encode_app(int, int, bit0, one_one_int)))), one_one_int)
14.60/14.76	     = app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               app_encode_app(int, int, 
14.60/14.76	                 app_encode_app(int, app_encode_fun(int, int), 
14.60/14.76	                   times_times_int, 
14.60/14.76	                   app_encode_app(int, int, bit0, 
14.60/14.76	                     app_encode_app(int, int, bit0, one_one_int))), m)), 
14.60/14.76	             one_one_int)), t),
14.60/14.76	    inference('demod', [status(thm)], ['0', '3', '3', '2'])).
14.60/14.76	tff(zf_stmt_83, axiom,
14.60/14.76	  (![Z:int,W:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    times_times_int,Z),
14.60/14.76	                     W) =
14.60/14.76	      app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    times_times_int,W),
14.60/14.76	                     Z)))).
14.60/14.76	tff('5', plain,
14.60/14.76	    ![X32 : int, X33 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X33), 
14.60/14.76	        X32)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	             X32), X33),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_83])).
14.60/14.76	tff('6', plain,
14.60/14.76	    app_encode_app(int, int, 
14.60/14.76	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	        app_encode_app(nat, int, 
14.60/14.76	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.60/14.76	          app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	            app_encode_app(int, int, bit0, one_one_int)))), one_one_int)
14.60/14.76	     = app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), times_times_int, t), 
14.60/14.76	         app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             app_encode_app(int, int, 
14.60/14.76	               app_encode_app(int, app_encode_fun(int, int), 
14.60/14.76	                 times_times_int, m), 
14.60/14.76	               app_encode_app(int, int, bit0, 
14.60/14.76	                 app_encode_app(int, int, bit0, one_one_int)))), one_one_int)),
14.60/14.76	    inference('demod', [status(thm)], ['4', '5', '5'])).
14.60/14.76	tff(zf_stmt_140, axiom,
14.60/14.76	  (![Z:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    times_times_int,one_one_int),
14.60/14.76	                     Z) =
14.60/14.76	      Z))).
14.60/14.76	tff('7', plain,
14.60/14.76	    ![X160 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	          one_one_int), X160)
14.60/14.76	       = X160,
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_140])).
14.60/14.76	tff(zf_stmt_536, axiom,
14.60/14.76	  (![A:int,B:int,M:int]:
14.60/14.76	     (app_encode_app(int,$o,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,$o),
14.60/14.76	                                    app_encode_app(int,
14.60/14.76	                                                   app_encode_fun(int,
14.60/14.76	                                                                  app_encode_fun(
14.60/14.76	                                                                  int,$o)),
14.60/14.76	                                                   zcong,A),
14.60/14.76	                                    B),
14.60/14.76	                     M) <=>
14.60/14.76	      (?[K_1:int]:
14.60/14.76	         (B =
14.60/14.76	          app_encode_app(int,int,
14.60/14.76	                         app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                        plus_plus_int,A),
14.60/14.76	                         app_encode_app(int,int,
14.60/14.76	                                        app_encode_app(int,
14.60/14.76	                                                       app_encode_fun(
14.60/14.76	                                                       int,int),
14.60/14.76	                                                       times_times_int,M),
14.60/14.76	                                        K_1))))))).
14.60/14.76	tff('8', plain,
14.60/14.76	    ![X956 : int, X957 : int, X958 : int]:
14.60/14.76	      (X958
14.60/14.76	        = app_encode_app(int, int, 
14.60/14.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	              X956), 
14.60/14.76	            app_encode_app(int, int, 
14.60/14.76	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	                X957), sk_K_1(X957, X958, X956)))
14.60/14.76	       | ~ app_encode_app(int, $o, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, $o), 
14.60/14.76	               app_encode_app(int, 
14.60/14.76	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, X956), 
14.60/14.76	               X958), X957)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_536])).
14.60/14.76	tff('9', plain,
14.60/14.76	    ![X0 : int, X1 : int]:
14.60/14.76	      (X1
14.60/14.76	        = app_encode_app(int, int, 
14.60/14.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	            sk_K_1(one_one_int, X1, X0))
14.60/14.76	       | ~ app_encode_app(int, $o, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, $o), 
14.60/14.76	               app_encode_app(int, 
14.60/14.76	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, X0), 
14.60/14.76	               X1), one_one_int)),
14.60/14.76	    inference('sup+', [status(thm)], ['7', '8'])).
14.60/14.76	tff(zf_stmt_527, axiom,
14.60/14.76	  (![A:int,B:int]:
14.60/14.76	     app_encode_app(int,$o,
14.60/14.76	                    app_encode_app(int,app_encode_fun(int,$o),
14.60/14.76	                                   app_encode_app(int,
14.60/14.76	                                                  app_encode_fun(int,
14.60/14.76	                                                                 app_encode_fun(
14.60/14.76	                                                                 int,$o)),
14.60/14.76	                                                  zcong,A),
14.60/14.76	                                   B),
14.60/14.76	                    one_one_int))).
14.60/14.76	tff('10', plain,
14.60/14.76	    ![X928 : int, X929 : int]:
14.60/14.76	      app_encode_app(int, $o, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, $o), 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
14.60/14.76	            zcong, X928), X929), one_one_int),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_527])).
14.60/14.76	tff('11', plain,
14.60/14.76	    ![X0 : int, X1 : int]:
14.60/14.76	      (X1
14.60/14.76	        = app_encode_app(int, int, 
14.60/14.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	            sk_K_1(one_one_int, X1, X0))
14.60/14.76	       | ~ $true),
14.60/14.76	    inference('demod', [status(thm)], ['9', '10'])).
14.60/14.76	tff('12', plain,
14.60/14.76	    ![X0 : int, X1 : int]:
14.60/14.76	      X1
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	           sk_K_1(one_one_int, X1, X0)),
14.60/14.76	    inference('simplify', [status(thm)], ['11'])).
14.60/14.76	tff(zf_stmt_494, axiom, (app_encode_app(int,int,bit1,min) = min)).
14.60/14.76	tff('13', plain, app_encode_app(int, int, bit1, min) = min,
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_494])).
14.60/14.76	tff(zf_stmt_279, axiom,
14.60/14.76	  (![K:int,L:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,
14.60/14.76	                                    app_encode_app(int,int,bit1,K)),
14.60/14.76	                     app_encode_app(int,int,bit0,L)) =
14.60/14.76	      app_encode_app(int,int,bit1,
14.60/14.76	                     app_encode_app(int,int,
14.60/14.76	                                    app_encode_app(int,
14.60/14.76	                                                   app_encode_fun(int,int),
14.60/14.76	                                                   plus_plus_int,K),
14.60/14.76	                                    L))))).
14.60/14.76	tff('14', plain,
14.60/14.76	    ![X412 : int, X413 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          app_encode_app(int, int, bit1, X412)), 
14.60/14.76	        app_encode_app(int, int, bit0, X413))
14.60/14.76	       = app_encode_app(int, int, bit1, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               X412), X413)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_279])).
14.60/14.76	tff('15', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          one_one_int), app_encode_app(int, int, bit0, X0))
14.60/14.76	       = app_encode_app(int, int, bit1, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               pls), X0)),
14.60/14.76	    inference('sup+', [status(thm)], ['3', '14'])).
14.60/14.76	tff(zf_stmt_226, axiom,
14.60/14.76	  (![K:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,pls),
14.60/14.76	                     K) =
14.60/14.76	      K))).
14.60/14.76	tff('16', plain,
14.60/14.76	    ![X341 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
14.60/14.76	        X341)
14.60/14.76	       = X341,
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_226])).
14.60/14.76	tff('17', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          one_one_int), app_encode_app(int, int, bit0, X0))
14.60/14.76	       = app_encode_app(int, int, bit1, X0),
14.60/14.76	    inference('demod', [status(thm)], ['15', '16'])).
14.60/14.76	tff(zf_stmt_228, axiom,
14.60/14.76	  (![K:int]:
14.60/14.76	     (app_encode_app(int,int,bit0,K) =
14.60/14.76	      app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,K),
14.60/14.76	                     K)))).
14.60/14.76	tff('18', plain,
14.60/14.76	    ![X344 : int]:
14.60/14.76	      app_encode_app(int, int, bit0, X344)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X344), 
14.60/14.76	           X344),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_228])).
14.60/14.76	tff(zf_stmt_178, axiom,
14.60/14.76	  (![Z1:int,Z2:int,Z3:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,
14.60/14.76	                                    app_encode_app(int,int,
14.60/14.76	                                                   app_encode_app(int,
14.60/14.76	                                                                  app_encode_fun(
14.60/14.76	                                                                  int,int),
14.60/14.76	                                                                  plus_plus_int,
14.60/14.76	                                                                  Z1),
14.60/14.76	                                                   Z2)),
14.60/14.76	                     Z3) =
14.60/14.76	      app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,Z1),
14.60/14.76	                     app_encode_app(int,int,
14.60/14.76	                                    app_encode_app(int,
14.60/14.76	                                                   app_encode_fun(int,int),
14.60/14.76	                                                   plus_plus_int,Z2),
14.60/14.76	                                    Z3))))).
14.60/14.76	tff('19', plain,
14.60/14.76	    ![X255 : int, X256 : int, X257 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          app_encode_app(int, int, 
14.60/14.76	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	              X255), X256)), X257)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X255), 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               X256), X257)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_178])).
14.60/14.76	tff('20', plain,
14.60/14.76	    ![X0 : int, X1 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          app_encode_app(int, int, bit0, X0)), X1)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	             X1)),
14.60/14.76	    inference('sup+', [status(thm)], ['18', '19'])).
14.60/14.76	tff('21', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          app_encode_app(int, int, bit0, one_one_int)), 
14.60/14.76	        app_encode_app(int, int, bit0, X0))
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             one_one_int), app_encode_app(int, int, bit1, X0)),
14.60/14.76	    inference('sup+', [status(thm)], ['17', '20'])).
14.60/14.76	tff(zf_stmt_227, axiom,
14.60/14.76	  (![K:int,L:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,
14.60/14.76	                                    app_encode_app(int,int,bit0,K)),
14.60/14.76	                     app_encode_app(int,int,bit0,L)) =
14.60/14.76	      app_encode_app(int,int,bit0,
14.60/14.76	                     app_encode_app(int,int,
14.60/14.76	                                    app_encode_app(int,
14.60/14.76	                                                   app_encode_fun(int,int),
14.60/14.76	                                                   plus_plus_int,K),
14.60/14.76	                                    L))))).
14.60/14.76	tff('22', plain,
14.60/14.76	    ![X342 : int, X343 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          app_encode_app(int, int, bit0, X342)), 
14.60/14.76	        app_encode_app(int, int, bit0, X343))
14.60/14.76	       = app_encode_app(int, int, bit0, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               X342), X343)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_227])).
14.60/14.76	tff(zf_stmt_180, axiom,
14.60/14.76	  (![Z:int,W:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,Z),
14.60/14.76	                     W) =
14.60/14.76	      app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,W),
14.60/14.76	                     Z)))).
14.60/14.76	tff('23', plain,
14.60/14.76	    ![X261 : int, X262 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X262), 
14.60/14.76	        X261)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X261), 
14.60/14.76	           X262),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_180])).
14.60/14.76	tff('24', plain,
14.60/14.76	    ![X0 : int, X1 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          app_encode_app(int, int, bit0, X0)), 
14.60/14.76	        app_encode_app(int, int, bit0, X1))
14.60/14.76	       = app_encode_app(int, int, bit0, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X1), 
14.60/14.76	             X0)),
14.60/14.76	    inference('sup+', [status(thm)], ['22', '23'])).
14.60/14.76	tff('25', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, bit0, 
14.60/14.76	        app_encode_app(int, int, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	          one_one_int))
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             one_one_int), app_encode_app(int, int, bit1, X0)),
14.60/14.76	    inference('demod', [status(thm)], ['21', '24'])).
14.60/14.76	tff('26', plain,
14.60/14.76	    app_encode_app(int, int, bit0, 
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, min), 
14.60/14.76	        one_one_int))
14.60/14.76	     = app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	           one_one_int), min),
14.60/14.76	    inference('sup+', [status(thm)], ['13', '25'])).
14.60/14.76	tff('27', plain,
14.60/14.76	    app_encode_app(int, int, bit0, 
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	          one_one_int), min))
14.60/14.76	     = app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	           one_one_int), min),
14.60/14.76	    inference('demod', [status(thm)], ['26', '23'])).
14.60/14.76	tff(zf_stmt_419, axiom,
14.60/14.76	  (![B_16:int,A_38:int]:
14.60/14.76	     ((B_16 =
14.60/14.76	       app_encode_app(int,int,
14.60/14.76	                      app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                     plus_plus_int,B_16),
14.60/14.76	                      A_38)) <=>
14.60/14.76	      (A_38 = zero_zero_int)))).
14.60/14.76	tff('28', plain,
14.60/14.76	    ![X696 : int, X697 : int]:
14.60/14.76	      (X696 = zero_zero_int
14.60/14.76	       | X697
14.60/14.76	          != app_encode_app(int, int, 
14.60/14.76	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	                 X697), X696)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_419])).
14.60/14.76	tff(zf_stmt_218, axiom, (pls = zero_zero_int)).
14.60/14.76	tff('29', plain, pls = zero_zero_int,
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_218])).
14.60/14.76	tff('30', plain,
14.60/14.76	    ![X696 : int, X697 : int]:
14.60/14.76	      (X696 = pls
14.60/14.76	       | X697
14.60/14.76	          != app_encode_app(int, int, 
14.60/14.76	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	                 X697), X696)),
14.60/14.76	    inference('demod', [status(thm)], ['28', '29'])).
14.60/14.76	tff('31', plain,
14.60/14.76	    ![X0 : int]: (X0 != app_encode_app(int, int, bit0, X0) | X0 = pls),
14.60/14.76	    inference('sup-', [status(thm)], ['18', '30'])).
14.60/14.76	tff('32', plain,
14.60/14.76	    (app_encode_app(int, int, 
14.60/14.76	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	         one_one_int), min)
14.60/14.76	      != app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             one_one_int), min)
14.60/14.76	     | app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	           one_one_int), min)
14.60/14.76	        = pls),
14.60/14.76	    inference('sup-', [status(thm)], ['27', '31'])).
14.60/14.76	tff('33', plain,
14.60/14.76	    app_encode_app(int, int, 
14.60/14.76	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	        one_one_int), min)
14.60/14.76	     = pls,
14.60/14.76	    inference('simplify', [status(thm)], ['32'])).
14.60/14.76	tff('34', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
14.60/14.76	        X0)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             one_one_int), 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               min), X0)),
14.60/14.76	    inference('sup+', [status(thm)], ['33', '19'])).
14.60/14.76	tff('35', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      X0
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             one_one_int), 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	               min), X0)),
14.60/14.76	    inference('demod', [status(thm)], ['34', '16'])).
14.60/14.76	tff('36', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      sk_K_1(one_one_int, X0, min)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	             one_one_int), X0),
14.60/14.76	    inference('sup+', [status(thm)], ['12', '35'])).
14.60/14.76	tff('37', plain,
14.60/14.76	    app_encode_app(int, int, bit0, one_one_int)
14.60/14.76	     = sk_K_1(one_one_int, one_one_int, min),
14.60/14.76	    inference('sup+', [status(thm)], ['36', '18'])).
14.60/14.76	tff('38', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	        one_one_int)
14.60/14.76	       = sk_K_1(one_one_int, X0, min),
14.60/14.76	    inference('sup+', [status(thm)], ['36', '23'])).
14.60/14.76	tff(zf_stmt_137, axiom,
14.60/14.76	  (![K:int,L:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    times_times_int,
14.60/14.76	                                    app_encode_app(int,int,bit0,K)),
14.60/14.76	                     L) =
14.60/14.76	      app_encode_app(int,int,bit0,
14.60/14.76	                     app_encode_app(int,int,
14.60/14.76	                                    app_encode_app(int,
14.60/14.76	                                                   app_encode_fun(int,int),
14.60/14.76	                                                   times_times_int,K),
14.60/14.76	                                    L))))).
14.60/14.76	tff('39', plain,
14.60/14.76	    ![X154 : int, X155 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	          app_encode_app(int, int, bit0, X154)), X155)
14.60/14.76	       = app_encode_app(int, int, bit0, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	               X154), X155)),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_137])).
14.60/14.76	tff('40', plain,
14.60/14.76	    ![X0 : int, X1 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
14.60/14.76	        app_encode_app(int, int, bit0, X1))
14.60/14.76	       = app_encode_app(int, int, bit0, 
14.60/14.76	           app_encode_app(int, int, 
14.60/14.76	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	               X1), X0)),
14.60/14.76	    inference('sup+', [status(thm)], ['39', '5'])).
14.60/14.76	tff(zf_stmt_461, axiom,
14.60/14.76	  (![M_11:int,A_30:int]:
14.60/14.76	     (app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    plus_plus_int,M_11),
14.60/14.76	                     app_encode_app(int,int,
14.60/14.76	                                    app_encode_app(int,
14.60/14.76	                                                   app_encode_fun(int,int),
14.60/14.76	                                                   times_times_int,A_30),
14.60/14.76	                                    M_11)) =
14.60/14.76	      app_encode_app(int,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.76	                                    times_times_int,
14.60/14.76	                                    app_encode_app(int,int,
14.60/14.76	                                                   app_encode_app(int,
14.60/14.76	                                                                  app_encode_fun(
14.60/14.76	                                                                  int,int),
14.60/14.76	                                                                  plus_plus_int,
14.60/14.76	                                                                  A_30),
14.60/14.76	                                                   one_one_int)),
14.60/14.76	                     M_11)))).
14.60/14.76	tff('41', plain,
14.60/14.76	    ![X809 : int, X810 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X810), 
14.60/14.76	        app_encode_app(int, int, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	            X809), X810))
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	             app_encode_app(int, int, 
14.60/14.76	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	                 X809), one_one_int)), X810),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_461])).
14.60/14.76	tff('42', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.76	        app_encode_app(int, int, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	            one_one_int), X0))
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	             sk_K_1(one_one_int, one_one_int, min)), X0),
14.60/14.76	    inference('sup+', [status(thm)], ['36', '41'])).
14.60/14.76	tff('43', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), X0)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	             sk_K_1(one_one_int, one_one_int, min)), X0),
14.60/14.76	    inference('demod', [status(thm)], ['42', '7'])).
14.60/14.76	tff('44', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      app_encode_app(int, int, bit0, X0)
14.60/14.76	       = app_encode_app(int, int, 
14.60/14.76	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.76	             sk_K_1(one_one_int, one_one_int, min)), X0),
14.60/14.76	    inference('demod', [status(thm)], ['43', '18'])).
14.60/14.76	tff('45', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      sk_K_1(one_one_int, app_encode_app(int, int, bit0, X0), min)
14.60/14.76	       = app_encode_app(int, int, bit1, X0),
14.60/14.76	    inference('demod', [status(thm)], ['17', '36'])).
14.60/14.76	tff('46', plain,
14.60/14.76	    sk_K_1(one_one_int, 
14.60/14.76	      app_encode_app(nat, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
14.60/14.76	        app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	          sk_K_1(one_one_int, one_one_int, min))), min)
14.60/14.76	     = app_encode_app(int, int, 
14.60/14.76	         app_encode_app(int, app_encode_fun(int, int), times_times_int, t), 
14.60/14.76	         app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
14.60/14.76	    inference('demod', [status(thm)],
14.60/14.76	              ['6', '37', '38', '37', '40', '44', '38', '45'])).
14.60/14.76	tff(zf_stmt_661, axiom,
14.60/14.76	  (![N_25:nat]:
14.60/14.76	     (app_encode_app(nat,int,
14.60/14.76	                     app_encode_app(int,app_encode_fun(nat,int),
14.60/14.76	                                    power_power_int,one_one_int),
14.60/14.76	                     N_25) =
14.60/14.76	      one_one_int))).
14.60/14.76	tff('47', plain,
14.60/14.76	    ![X1272 : nat]:
14.60/14.76	      app_encode_app(nat, int, 
14.60/14.76	        app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
14.60/14.76	          one_one_int), X1272)
14.60/14.76	       = one_one_int,
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_661])).
14.60/14.76	tff(zf_stmt_56, axiom,
14.60/14.76	  (![X:int,Y:int]:
14.60/14.76	     (~
14.60/14.76	       app_encode_app(int,$o,
14.60/14.76	                      app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
14.60/14.76	                                     app_encode_app(int,int,
14.60/14.76	                                                    app_encode_app(int,
14.60/14.76	                                                                   app_encode_fun(
14.60/14.76	                                                                   int,int),
14.60/14.76	                                                                   plus_plus_int,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   nat,int,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,
14.60/14.76	                                                                   app_encode_fun(
14.60/14.76	                                                                   nat,int),
14.60/14.76	                                                                   power_power_int,
14.60/14.76	                                                                   X),
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,nat,
14.60/14.76	                                                                   number_number_of_nat,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,int,
14.60/14.76	                                                                   bit0,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,int,
14.60/14.76	                                                                   bit1,pls))))),
14.60/14.76	                                                    app_encode_app(nat,int,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,
14.60/14.76	                                                                   app_encode_fun(
14.60/14.76	                                                                   nat,int),
14.60/14.76	                                                                   power_power_int,
14.60/14.76	                                                                   Y),
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,nat,
14.60/14.76	                                                                   number_number_of_nat,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,int,
14.60/14.76	                                                                   bit0,
14.60/14.76	                                                                   app_encode_app(
14.60/14.76	                                                                   int,int,
14.60/14.76	                                                                   bit1,pls)))))),
14.60/14.76	                      zero_zero_int)))).
14.60/14.76	tff('48', plain,
14.60/14.76	    ![X2 : int, X3 : int]:
14.60/14.76	      ~ app_encode_app(int, $o, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.76	            app_encode_app(int, int, 
14.60/14.76	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	                app_encode_app(nat, int, 
14.60/14.76	                  app_encode_app(int, app_encode_fun(nat, int), 
14.60/14.76	                    power_power_int, X2), 
14.60/14.76	                  app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	                    app_encode_app(int, int, bit0, 
14.60/14.76	                      app_encode_app(int, int, bit1, pls))))), 
14.60/14.76	              app_encode_app(nat, int, 
14.60/14.76	                app_encode_app(int, app_encode_fun(nat, int), 
14.60/14.76	                  power_power_int, X3), 
14.60/14.76	                app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	                  app_encode_app(int, int, bit0, 
14.60/14.76	                    app_encode_app(int, int, bit1, pls)))))), zero_zero_int),
14.60/14.76	    inference('cnf', [status(esa)], [zf_stmt_56])).
14.60/14.76	tff('49', plain,
14.60/14.76	    ![X2 : int, X3 : int]:
14.60/14.76	      ~ app_encode_app(int, $o, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.76	            app_encode_app(int, int, 
14.60/14.76	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	                app_encode_app(nat, int, 
14.60/14.76	                  app_encode_app(int, app_encode_fun(nat, int), 
14.60/14.76	                    power_power_int, X2), 
14.60/14.76	                  app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	                    app_encode_app(int, int, bit0, one_one_int)))), 
14.60/14.76	              app_encode_app(nat, int, 
14.60/14.76	                app_encode_app(int, app_encode_fun(nat, int), 
14.60/14.76	                  power_power_int, X3), 
14.60/14.76	                app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	                  app_encode_app(int, int, bit0, one_one_int))))), pls),
14.60/14.76	    inference('demod', [status(thm)], ['48', '3', '3', '29'])).
14.60/14.76	tff('50', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      ~ app_encode_app(int, $o, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.76	            app_encode_app(int, int, 
14.60/14.76	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.76	                one_one_int), 
14.60/14.76	              app_encode_app(nat, int, 
14.60/14.76	                app_encode_app(int, app_encode_fun(nat, int), 
14.60/14.76	                  power_power_int, X0), 
14.60/14.76	                app_encode_app(int, nat, number_number_of_nat, 
14.60/14.76	                  app_encode_app(int, int, bit0, one_one_int))))), pls),
14.60/14.76	    inference('sup-', [status(thm)], ['47', '49'])).
14.60/14.76	tff('51', plain,
14.60/14.76	    ![X0 : int]:
14.60/14.76	      ~ app_encode_app(int, $o, 
14.60/14.76	          app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.76	            sk_K_1(one_one_int, 
14.60/14.76	              app_encode_app(nat, int, 
14.60/14.76	                app_encode_app(int, app_encode_fun(nat, int), 
14.60/14.76	                  power_power_int, X0), 
14.60/14.76	                app_encode_app(int, nat, number_number_of_nat, 
14.60/14.77	                  sk_K_1(one_one_int, one_one_int, min))), min)), pls),
14.60/14.77	    inference('demod', [status(thm)], ['50', '37', '36'])).
14.60/14.77	tff('52', plain,
14.60/14.77	    ~ app_encode_app(int, $o, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.77	          app_encode_app(int, int, 
14.60/14.77	            app_encode_app(int, app_encode_fun(int, int), times_times_int, t), 
14.60/14.77	            app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))), 
14.60/14.77	        pls),
14.60/14.77	    inference('sup-', [status(thm)], ['46', '51'])).
14.60/14.77	tff(zf_stmt_50, axiom,
14.60/14.77	  (app_encode_app(int,$o,
14.60/14.77	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
14.60/14.77	                                 app_encode_app(int,int,
14.60/14.77	                                                app_encode_app(int,
14.60/14.77	                                                               app_encode_fun(
14.60/14.77	                                                               int,int),
14.60/14.77	                                                               times_times_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,
14.60/14.77	                                                               app_encode_fun(
14.60/14.77	                                                               int,int),
14.60/14.77	                                                               plus_plus_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,
14.60/14.77	                                                               app_encode_fun(
14.60/14.77	                                                               int,int),
14.60/14.77	                                                               times_times_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,
14.60/14.77	                                                               number_number_of_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,bit0,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,bit0,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,bit1,
14.60/14.77	                                                               pls))))),m)),
14.60/14.77	                                                               one_one_int)),
14.60/14.77	                                                t)),
14.60/14.77	                  app_encode_app(int,int,
14.60/14.77	                                 app_encode_app(int,app_encode_fun(int,int),
14.60/14.77	                                                times_times_int,
14.60/14.77	                                                app_encode_app(int,int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,
14.60/14.77	                                                               app_encode_fun(
14.60/14.77	                                                               int,int),
14.60/14.77	                                                               plus_plus_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,
14.60/14.77	                                                               app_encode_fun(
14.60/14.77	                                                               int,int),
14.60/14.77	                                                               times_times_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,
14.60/14.77	                                                               number_number_of_int,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,bit0,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,bit0,
14.60/14.77	                                                               app_encode_app(
14.60/14.77	                                                               int,int,bit1,
14.60/14.77	                                                               pls))))),m)),
14.60/14.77	                                                               one_one_int)),
14.60/14.77	                                 zero_zero_int)))).
14.60/14.77	tff('53', plain,
14.60/14.77	    app_encode_app(int, $o, 
14.60/14.77	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.77	        app_encode_app(int, int, 
14.60/14.77	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	            app_encode_app(int, int, 
14.60/14.77	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	                app_encode_app(int, int, 
14.60/14.77	                  app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                    times_times_int, 
14.60/14.77	                    app_encode_app(int, int, number_number_of_int, 
14.60/14.77	                      app_encode_app(int, int, bit0, 
14.60/14.77	                        app_encode_app(int, int, bit0, 
14.60/14.77	                          app_encode_app(int, int, bit1, pls))))), m)), 
14.60/14.77	              one_one_int)), t)), 
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	          app_encode_app(int, int, 
14.60/14.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	              app_encode_app(int, int, 
14.60/14.77	                app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                  times_times_int, 
14.60/14.77	                  app_encode_app(int, int, number_number_of_int, 
14.60/14.77	                    app_encode_app(int, int, bit0, 
14.60/14.77	                      app_encode_app(int, int, bit0, 
14.60/14.77	                        app_encode_app(int, int, bit1, pls))))), m)), 
14.60/14.77	            one_one_int)), zero_zero_int)),
14.60/14.77	    inference('cnf', [status(esa)], [zf_stmt_50])).
14.60/14.77	tff('54', plain,
14.60/14.77	    app_encode_app(int, $o, 
14.60/14.77	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.77	        app_encode_app(int, int, 
14.60/14.77	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	            app_encode_app(int, int, 
14.60/14.77	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	                app_encode_app(int, int, 
14.60/14.77	                  app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                    times_times_int, 
14.60/14.77	                    app_encode_app(int, int, bit0, 
14.60/14.77	                      app_encode_app(int, int, bit0, 
14.60/14.77	                        app_encode_app(int, int, bit1, pls)))), m)), 
14.60/14.77	              one_one_int)), t)), 
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	          app_encode_app(int, int, 
14.60/14.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	              app_encode_app(int, int, 
14.60/14.77	                app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                  times_times_int, 
14.60/14.77	                  app_encode_app(int, int, bit0, 
14.60/14.77	                    app_encode_app(int, int, bit0, 
14.60/14.77	                      app_encode_app(int, int, bit1, pls)))), m)), 
14.60/14.77	            one_one_int)), pls)),
14.60/14.77	    inference('demod', [status(thm)], ['53', '2', '2', '29'])).
14.60/14.77	tff('55', plain,
14.60/14.77	    app_encode_app(int, $o, 
14.60/14.77	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.77	        app_encode_app(int, int, 
14.60/14.77	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	            app_encode_app(int, int, 
14.60/14.77	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	                app_encode_app(int, int, 
14.60/14.77	                  app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                    times_times_int, 
14.60/14.77	                    app_encode_app(int, int, bit0, 
14.60/14.77	                      app_encode_app(int, int, bit0, one_one_int))), m)), 
14.60/14.77	              one_one_int)), t)), 
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	          app_encode_app(int, int, 
14.60/14.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	              app_encode_app(int, int, 
14.60/14.77	                app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                  times_times_int, 
14.60/14.77	                  app_encode_app(int, int, bit0, 
14.60/14.77	                    app_encode_app(int, int, bit0, one_one_int))), m)), 
14.60/14.77	            one_one_int)), pls)),
14.60/14.77	    inference('demod', [status(thm)], ['54', '3', '3'])).
14.60/14.77	tff(zf_stmt_143, axiom,
14.60/14.77	  (![W:int,Z1:int,Z2:int]:
14.60/14.77	     (app_encode_app(int,int,
14.60/14.77	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.77	                                    times_times_int,W),
14.60/14.77	                     app_encode_app(int,int,
14.60/14.77	                                    app_encode_app(int,
14.60/14.77	                                                   app_encode_fun(int,int),
14.60/14.77	                                                   plus_plus_int,Z1),
14.60/14.77	                                    Z2)) =
14.60/14.77	      app_encode_app(int,int,
14.60/14.77	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.77	                                    plus_plus_int,
14.60/14.77	                                    app_encode_app(int,int,
14.60/14.77	                                                   app_encode_app(int,
14.60/14.77	                                                                  app_encode_fun(
14.60/14.77	                                                                  int,int),
14.60/14.77	                                                                  times_times_int,
14.60/14.77	                                                                  W),
14.60/14.77	                                                   Z1)),
14.60/14.77	                     app_encode_app(int,int,
14.60/14.77	                                    app_encode_app(int,
14.60/14.77	                                                   app_encode_fun(int,int),
14.60/14.77	                                                   times_times_int,W),
14.60/14.77	                                    Z2))))).
14.60/14.77	tff('56', plain,
14.60/14.77	    ![X166 : int, X167 : int, X168 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X166), 
14.60/14.77	        app_encode_app(int, int, 
14.60/14.77	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X167), 
14.60/14.77	          X168))
14.60/14.77	       = app_encode_app(int, int, 
14.60/14.77	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
14.60/14.77	             app_encode_app(int, int, 
14.60/14.77	               app_encode_app(int, app_encode_fun(int, int), 
14.60/14.77	                 times_times_int, X166), X167)), 
14.60/14.77	           app_encode_app(int, int, 
14.60/14.77	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	               X166), X168)),
14.60/14.77	    inference('cnf', [status(esa)], [zf_stmt_143])).
14.60/14.77	tff('57', plain,
14.60/14.77	    ![X0 : int, X1 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X1), 
14.60/14.77	        app_encode_app(int, int, 
14.60/14.77	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
14.60/14.77	          X0))
14.60/14.77	       = app_encode_app(int, int, bit0, 
14.60/14.77	           app_encode_app(int, int, 
14.60/14.77	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	               X1), X0)),
14.60/14.77	    inference('sup+', [status(thm)], ['18', '56'])).
14.60/14.77	tff('58', plain,
14.60/14.77	    ![X0 : int, X1 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X1), 
14.60/14.77	        app_encode_app(int, int, bit0, X0))
14.60/14.77	       = app_encode_app(int, int, bit0, 
14.60/14.77	           app_encode_app(int, int, 
14.60/14.77	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	               X1), X0)),
14.60/14.77	    inference('demod', [status(thm)], ['57', '18'])).
14.60/14.77	tff('59', plain,
14.60/14.77	    ![X0 : int, X1 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	          app_encode_app(int, int, bit0, X0)), X1)
14.60/14.77	       = app_encode_app(int, int, bit0, 
14.60/14.77	           app_encode_app(int, int, 
14.60/14.77	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	               X1), X0)),
14.60/14.77	    inference('sup+', [status(thm)], ['58', '5'])).
14.60/14.77	tff('60', plain,
14.60/14.77	    ![X0 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
14.60/14.77	        sk_K_1(one_one_int, one_one_int, min))
14.60/14.77	       = app_encode_app(int, int, bit0, 
14.60/14.77	           app_encode_app(int, int, 
14.60/14.77	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
14.60/14.77	               X0), one_one_int)),
14.60/14.77	    inference('sup+', [status(thm)], ['37', '58'])).
14.60/14.77	tff(zf_stmt_139, axiom,
14.60/14.77	  (![Z:int]:
14.60/14.77	     (app_encode_app(int,int,
14.60/14.77	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.77	                                    times_times_int,Z),
14.60/14.77	                     one_one_int) =
14.60/14.77	      Z))).
14.60/14.77	tff('61', plain,
14.60/14.77	    ![X159 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X159), 
14.60/14.77	        one_one_int)
14.60/14.77	       = X159,
14.60/14.77	    inference('cnf', [status(esa)], [zf_stmt_139])).
14.60/14.77	tff('62', plain,
14.60/14.77	    ![X0 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
14.60/14.77	        sk_K_1(one_one_int, one_one_int, min))
14.60/14.77	       = app_encode_app(int, int, bit0, X0),
14.60/14.77	    inference('demod', [status(thm)], ['60', '61'])).
14.60/14.77	tff(zf_stmt_136, axiom,
14.60/14.77	  (![W:int]:
14.60/14.77	     (app_encode_app(int,int,
14.60/14.77	                     app_encode_app(int,app_encode_fun(int,int),
14.60/14.77	                                    times_times_int,pls),
14.60/14.77	                     W) =
14.60/14.77	      pls))).
14.60/14.77	tff('63', plain,
14.60/14.77	    ![X153 : int]:
14.60/14.77	      app_encode_app(int, int, 
14.60/14.77	        app_encode_app(int, app_encode_fun(int, int), times_times_int, pls), 
14.60/14.77	        X153)
14.60/14.77	       = pls,
14.60/14.77	    inference('cnf', [status(esa)], [zf_stmt_136])).
14.60/14.77	tff('64', plain,
14.60/14.77	    app_encode_app(int, $o, 
14.60/14.77	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
14.60/14.77	        app_encode_app(int, int, 
14.60/14.77	          app_encode_app(int, app_encode_fun(int, int), times_times_int, t), 
14.60/14.77	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)))), 
14.60/14.77	      pls),
14.60/14.77	    inference('demod', [status(thm)],
14.60/14.77	              ['55', '37', '59', '62', '38', '45', '5', '37', '59', '62', 
14.60/14.77	               '38', '45', '5', '63'])).
14.60/14.77	tff('65', plain, ~ $true, inference('demod', [status(thm)], ['52', '64'])).
14.60/14.77	tff('66', plain, $false, inference('simplify', [status(thm)], ['65'])).
14.60/14.77	
14.60/14.77	% SZS output end Refutation
14.60/14.77	EOF
