0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n188.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:02:08 CST 2018
14.33/14.54	% done 1243 iterations in 14.338s
14.33/14.54	% SZS status Theorem for 'stdin'
14.33/14.54	% SZS output start Refutation
14.33/14.55	tff(zf_stmt_51, axiom,
14.33/14.55	  (app_encode_app(int,int,
14.33/14.55	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
14.33/14.55	                                 app_encode_app(nat,int,
14.33/14.55	                                                app_encode_app(int,
14.33/14.55	                                                               app_encode_fun(
14.33/14.55	                                                               nat,int),
14.33/14.55	                                                               power_power(
14.33/14.55	                                                               int),s),
14.33/14.55	                                                app_encode_app(int,nat,
14.33/14.55	                                                               number_number_of(
14.33/14.55	                                                               nat),
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,bit0,
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,bit1,
14.33/14.55	                                                               pls))))),
14.33/14.55	                  one_one(int)) =
14.33/14.55	   app_encode_app(int,int,
14.33/14.55	                  app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                 times_times(int),
14.33/14.55	                                 app_encode_app(int,int,
14.33/14.55	                                                app_encode_app(int,
14.33/14.55	                                                               app_encode_fun(
14.33/14.55	                                                               int,int),
14.33/14.55	                                                               plus_plus(int),
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,
14.33/14.55	                                                               app_encode_fun(
14.33/14.55	                                                               int,int),
14.33/14.55	                                                               times_times(
14.33/14.55	                                                               int),
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,
14.33/14.55	                                                               number_number_of(
14.33/14.55	                                                               int),
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,bit0,
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,bit0,
14.33/14.55	                                                               app_encode_app(
14.33/14.55	                                                               int,int,bit1,
14.33/14.55	                                                               pls))))),m)),
14.33/14.55	                                                one_one(int))),
14.33/14.55	                  t))).
14.33/14.55	tff('0', plain,
14.33/14.55	    app_encode_app(int, int, 
14.33/14.55	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	        app_encode_app(nat, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
14.33/14.55	          app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	            app_encode_app(int, int, bit0, 
14.33/14.55	              app_encode_app(int, int, bit1, pls))))), one_one(int))
14.33/14.55	     = app_encode_app(int, int, 
14.33/14.55	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               app_encode_app(int, int, 
14.33/14.55	                 app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                   times_times(int), 
14.33/14.55	                   app_encode_app(int, int, number_number_of(int), 
14.33/14.55	                     app_encode_app(int, int, bit0, 
14.33/14.55	                       app_encode_app(int, int, bit0, 
14.33/14.55	                         app_encode_app(int, int, bit1, pls))))), m)), 
14.33/14.55	             one_one(int))), t),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_51])).
14.33/14.55	tff(zf_stmt_105, axiom,
14.33/14.55	  (one_one(int) =
14.33/14.55	   app_encode_app(int,int,number_number_of(int),
14.33/14.55	                  app_encode_app(int,int,bit1,pls)))).
14.33/14.55	tff('1', plain,
14.33/14.55	    one_one(int)
14.33/14.55	     = app_encode_app(int, int, number_number_of(int), 
14.33/14.55	         app_encode_app(int, int, bit1, pls)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_105])).
14.33/14.55	tff(zf_stmt_85, axiom,
14.33/14.55	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
14.33/14.55	tff('2', plain,
14.33/14.55	    ![X78 : int]: app_encode_app(int, int, number_number_of(int), X78) = X78,
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_85])).
14.33/14.55	tff('3', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
14.33/14.55	    inference('demod', [status(thm)], ['1', '2'])).
14.33/14.55	tff(zf_stmt_66, axiom,
14.33/14.55	  (![L1:int,K1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    times_times(int),
14.33/14.55	                                    app_encode_app(int,int,bit0,K1)),
14.33/14.55	                     L1) =
14.33/14.55	      app_encode_app(int,int,bit0,
14.33/14.55	                     app_encode_app(int,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(int,int),
14.33/14.55	                                                   times_times(int),K1),
14.33/14.55	                                    L1))))).
14.33/14.55	tff('4', plain,
14.33/14.55	    ![X39 : int, X40 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	          app_encode_app(int, int, bit0, X39)), X40)
14.33/14.55	       = app_encode_app(int, int, bit0, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X39), X40)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_66])).
14.33/14.55	tff(zf_stmt_65, axiom,
14.33/14.55	  (![W:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    times_times(int),pls),
14.33/14.55	                     W) =
14.33/14.55	      pls))).
14.33/14.55	tff('5', plain,
14.33/14.55	    ![X38 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
14.33/14.55	        X38)
14.33/14.55	       = pls,
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_65])).
14.33/14.55	tff(zf_stmt_49, axiom,
14.33/14.55	  (![L1:int,K1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    times_times(int),
14.33/14.55	                                    app_encode_app(int,int,bit1,K1)),
14.33/14.55	                     L1) =
14.33/14.55	      app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(int,int,bit0,
14.33/14.55	                                                   app_encode_app(int,int,
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,
14.33/14.55	                                                                  app_encode_fun(
14.33/14.55	                                                                  int,int),
14.33/14.55	                                                                  times_times(
14.33/14.55	                                                                  int),K1),L1))),
14.33/14.55	                     L1)))).
14.33/14.55	tff('6', plain,
14.33/14.55	    ![X8 : int, X9 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	          app_encode_app(int, int, bit1, X8)), X9)
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, bit0, 
14.33/14.55	               app_encode_app(int, int, 
14.33/14.55	                 app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                   times_times(int), X8), X9))), X9),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_49])).
14.33/14.55	tff('7', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	          app_encode_app(int, int, bit1, pls)), X0)
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, bit0, pls)), X0),
14.33/14.55	    inference('sup+', [status(thm)], ['5', '6'])).
14.33/14.55	tff(zf_stmt_64, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
14.33/14.55	tff('8', plain, app_encode_app(int, int, bit0, pls) = pls,
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_64])).
14.33/14.55	tff(zf_stmt_88, axiom,
14.33/14.55	  (![K1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),pls),
14.33/14.55	                     K1) =
14.33/14.55	      K1))).
14.33/14.55	tff('9', plain,
14.33/14.55	    ![X83 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
14.33/14.55	        X83)
14.33/14.55	       = X83,
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_88])).
14.33/14.55	tff('10', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	          app_encode_app(int, int, bit1, pls)), X0)
14.33/14.55	       = X0,
14.33/14.55	    inference('demod', [status(thm)], ['7', '8', '9'])).
14.33/14.55	tff(zf_stmt_40, axiom, (t = one_one(int))).
14.33/14.55	tff('11', plain, t = one_one(int),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_40])).
14.33/14.55	tff('12', plain, t = app_encode_app(int, int, bit1, pls),
14.33/14.55	    inference('demod', [status(thm)], ['11', '3'])).
14.33/14.55	tff('13', plain,
14.33/14.55	    app_encode_app(int, int, 
14.33/14.55	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	        app_encode_app(nat, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
14.33/14.55	          app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	            app_encode_app(int, int, bit0, 
14.33/14.55	              app_encode_app(int, int, bit1, pls))))), 
14.33/14.55	      app_encode_app(int, int, bit1, pls))
14.33/14.55	     = app_encode_app(int, int, 
14.33/14.55	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               app_encode_app(int, int, bit0, 
14.33/14.55	                 app_encode_app(int, int, bit0, m))), 
14.33/14.55	             app_encode_app(int, int, bit1, pls))), 
14.33/14.55	         app_encode_app(int, int, bit1, pls)),
14.33/14.55	    inference('demod', [status(thm)],
14.33/14.55	              ['0', '3', '2', '4', '4', '10', '3', '12'])).
14.33/14.55	tff(zf_stmt_76, axiom,
14.33/14.55	  (![L1:int,K1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(int,int,bit0,K1)),
14.33/14.55	                     app_encode_app(int,int,bit1,L1)) =
14.33/14.55	      app_encode_app(int,int,bit1,
14.33/14.55	                     app_encode_app(int,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(int,int),
14.33/14.55	                                                   plus_plus(int),K1),
14.33/14.55	                                    L1))))).
14.33/14.55	tff('14', plain,
14.33/14.55	    ![X67 : int, X68 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	          app_encode_app(int, int, bit0, X67)), 
14.33/14.55	        app_encode_app(int, int, bit1, X68))
14.33/14.55	       = app_encode_app(int, int, bit1, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               X67), X68)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_76])).
14.33/14.55	tff(zf_stmt_87, axiom,
14.33/14.55	  (![K1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),K1),
14.33/14.55	                     pls) =
14.33/14.55	      K1))).
14.33/14.55	tff('15', plain,
14.33/14.55	    ![X82 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X82), 
14.33/14.55	        pls)
14.33/14.55	       = X82,
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_87])).
14.33/14.55	tff('16', plain,
14.33/14.55	    app_encode_app(int, int, 
14.33/14.55	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	        app_encode_app(nat, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), s), 
14.33/14.55	          app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	            app_encode_app(int, int, bit0, 
14.33/14.55	              app_encode_app(int, int, bit1, pls))))), 
14.33/14.55	      app_encode_app(int, int, bit1, pls))
14.33/14.55	     = app_encode_app(int, int, bit1, 
14.33/14.55	         app_encode_app(int, int, bit0, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               m), app_encode_app(int, int, bit1, pls)))),
14.33/14.55	    inference('demod', [status(thm)],
14.33/14.55	              ['13', '14', '15', '6', '4', '14', '15'])).
14.33/14.55	tff(zf_stmt_147, axiom, (number(int))).
14.33/14.55	tff('17', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_147])).
14.33/14.55	tff(zf_stmt_43, axiom,
14.33/14.55	  (![B1:$tType]:
14.33/14.55	     ((monoid_mult(B1) & number(B1)) =>
14.33/14.55	      (![W:int]:
14.33/14.55	         (app_encode_app(nat,B1,
14.33/14.55	                         app_encode_app(B1,app_encode_fun(nat,B1),
14.33/14.55	                                        power_power(B1),
14.33/14.55	                                        app_encode_app(int,B1,
14.33/14.55	                                                       number_number_of(B1),W)),
14.33/14.55	                         app_encode_app(int,nat,number_number_of(nat),
14.33/14.55	                                        app_encode_app(int,int,bit0,
14.33/14.55	                                                       app_encode_app(
14.33/14.55	                                                       int,int,bit1,pls)))) =
14.33/14.55	          app_encode_app(B1,B1,
14.33/14.55	                         app_encode_app(B1,app_encode_fun(B1,B1),
14.33/14.55	                                        times_times(B1),
14.33/14.55	                                        app_encode_app(int,B1,
14.33/14.55	                                                       number_number_of(B1),W)),
14.33/14.55	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
14.33/14.55	tff('18', plain,
14.33/14.55	    ![X0 : $tType, X1 : int]:
14.33/14.55	      (app_encode_app(nat, X0, 
14.33/14.55	         app_encode_app(X0, app_encode_fun(nat, X0), power_power(X0), 
14.33/14.55	           app_encode_app(int, X0, number_number_of(X0), X1)), 
14.33/14.55	         app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	           app_encode_app(int, int, bit0, 
14.33/14.55	             app_encode_app(int, int, bit1, pls))))
14.33/14.55	        = app_encode_app(X0, X0, 
14.33/14.55	            app_encode_app(X0, app_encode_fun(X0, X0), times_times(X0), 
14.33/14.55	              app_encode_app(int, X0, number_number_of(X0), X1)), 
14.33/14.55	            app_encode_app(int, X0, number_number_of(X0), X1))
14.33/14.55	       | ~ number(X0)
14.33/14.55	       | ~ monoid_mult(X0)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_43])).
14.33/14.55	tff('19', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      (~ $true
14.33/14.55	       | ~ monoid_mult(int)
14.33/14.55	       | app_encode_app(nat, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
14.33/14.55	             app_encode_app(int, int, number_number_of(int), X0)), 
14.33/14.55	           app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	             app_encode_app(int, int, bit0, 
14.33/14.55	               app_encode_app(int, int, bit1, pls))))
14.33/14.55	          = app_encode_app(int, int, 
14.33/14.55	              app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                times_times(int), 
14.33/14.55	                app_encode_app(int, int, number_number_of(int), X0)), 
14.33/14.55	              app_encode_app(int, int, number_number_of(int), X0))),
14.33/14.55	    inference('sup-', [status(thm)], ['17', '18'])).
14.33/14.55	tff(zf_stmt_142, axiom, (monoid_mult(int))).
14.33/14.55	tff('20', plain, monoid_mult(int),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_142])).
14.33/14.55	tff('21', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      (~ $true
14.33/14.55	       | ~ $true
14.33/14.55	       | app_encode_app(nat, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
14.33/14.55	             app_encode_app(int, int, number_number_of(int), X0)), 
14.33/14.55	           app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	             app_encode_app(int, int, bit0, 
14.33/14.55	               app_encode_app(int, int, bit1, pls))))
14.33/14.55	          = app_encode_app(int, int, 
14.33/14.55	              app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                times_times(int), 
14.33/14.55	                app_encode_app(int, int, number_number_of(int), X0)), 
14.33/14.55	              app_encode_app(int, int, number_number_of(int), X0))),
14.33/14.55	    inference('demod', [status(thm)], ['19', '20'])).
14.33/14.55	tff('22', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(nat, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
14.33/14.55	          app_encode_app(int, int, number_number_of(int), X0)), 
14.33/14.55	        app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	             app_encode_app(int, int, number_number_of(int), X0)), 
14.33/14.55	           app_encode_app(int, int, number_number_of(int), X0)),
14.33/14.55	    inference('simplify', [status(thm)], ['21'])).
14.33/14.55	tff('23', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(nat, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
14.33/14.55	        app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	             X0), X0),
14.33/14.55	    inference('demod', [status(thm)], ['22', '2', '2', '2'])).
14.33/14.55	tff(zf_stmt_75, axiom,
14.33/14.55	  (![L1:int,K1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(int,int,bit1,K1)),
14.33/14.55	                     app_encode_app(int,int,bit0,L1)) =
14.33/14.55	      app_encode_app(int,int,bit1,
14.33/14.55	                     app_encode_app(int,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(int,int),
14.33/14.55	                                                   plus_plus(int),K1),
14.33/14.55	                                    L1))))).
14.33/14.55	tff('24', plain,
14.33/14.55	    ![X65 : int, X66 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	          app_encode_app(int, int, bit1, X65)), 
14.33/14.55	        app_encode_app(int, int, bit0, X66))
14.33/14.55	       = app_encode_app(int, int, bit1, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               X65), X66)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_75])).
14.33/14.55	tff(zf_stmt_145, axiom, (number_ring(int))).
14.33/14.55	tff('25', plain, number_ring(int),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_145])).
14.33/14.55	tff(zf_stmt_102, axiom,
14.33/14.55	  (![A:$tType]:
14.33/14.55	     (number_ring(A) =>
14.33/14.55	      (![A1:A]:
14.33/14.55	         (app_encode_app(A,A,
14.33/14.55	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
14.33/14.55	                                        A1),
14.33/14.55	                         app_encode_app(int,A,number_number_of(A),
14.33/14.55	                                        app_encode_app(int,int,bit1,pls))) =
14.33/14.55	          A1))))).
14.33/14.55	tff('26', plain,
14.33/14.55	    ![X112 : $tType, X113 : X112]:
14.33/14.55	      (app_encode_app(X112, X112, 
14.33/14.55	         app_encode_app(X112, app_encode_fun(X112, X112), times_times(X112), 
14.33/14.55	           X113), 
14.33/14.55	         app_encode_app(int, X112, number_number_of(X112), 
14.33/14.55	           app_encode_app(int, int, bit1, pls)))
14.33/14.55	        = X113
14.33/14.55	       | ~ number_ring(X112)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_102])).
14.33/14.55	tff('27', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      (~ $true
14.33/14.55	       | app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	             X0), 
14.33/14.55	           app_encode_app(int, int, number_number_of(int), 
14.33/14.55	             app_encode_app(int, int, bit1, pls)))
14.33/14.55	          = X0),
14.33/14.55	    inference('sup-', [status(thm)], ['25', '26'])).
14.33/14.55	tff('28', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      (~ $true
14.33/14.55	       | app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	             X0), app_encode_app(int, int, bit1, pls))
14.33/14.55	          = X0),
14.33/14.55	    inference('demod', [status(thm)], ['27', '2'])).
14.33/14.55	tff('29', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
14.33/14.55	        app_encode_app(int, int, bit1, pls))
14.33/14.55	       = X0,
14.33/14.55	    inference('simplify', [status(thm)], ['28'])).
14.33/14.55	tff(zf_stmt_92, axiom,
14.33/14.55	  (![Z2:int,Z1:int,W:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    times_times(int),W),
14.33/14.55	                     app_encode_app(int,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(int,int),
14.33/14.55	                                                   plus_plus(int),Z1),
14.33/14.55	                                    Z2)) =
14.33/14.55	      app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(int,int,
14.33/14.55	                                                   app_encode_app(int,
14.33/14.55	                                                                  app_encode_fun(
14.33/14.55	                                                                  int,int),
14.33/14.55	                                                                  times_times(
14.33/14.55	                                                                  int),W),
14.33/14.55	                                                   Z1)),
14.33/14.55	                     app_encode_app(int,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(int,int),
14.33/14.55	                                                   times_times(int),W),
14.33/14.55	                                    Z2))))).
14.33/14.55	tff('30', plain,
14.33/14.55	    ![X90 : int, X91 : int, X92 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X90), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X91), 
14.33/14.55	          X92))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, 
14.33/14.55	               app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                 times_times(int), X90), X91)), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X90), X92)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_92])).
14.33/14.55	tff('31', plain,
14.33/14.55	    ![X0 : int, X1 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	            app_encode_app(int, int, bit1, pls)), X1))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X0), X1)),
14.33/14.55	    inference('sup+', [status(thm)], ['29', '30'])).
14.33/14.55	tff('32', plain,
14.33/14.55	    ![X0 : int, X1 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
14.33/14.55	        app_encode_app(int, int, bit1, 
14.33/14.55	          app_encode_app(int, int, 
14.33/14.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	              pls), X0)))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X1), app_encode_app(int, int, bit0, X0))),
14.33/14.55	    inference('sup+', [status(thm)], ['24', '31'])).
14.33/14.55	tff(zf_stmt_91, axiom,
14.33/14.55	  (![W:int,Z2:int,Z1:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    times_times(int),
14.33/14.55	                                    app_encode_app(int,int,
14.33/14.55	                                                   app_encode_app(int,
14.33/14.55	                                                                  app_encode_fun(
14.33/14.55	                                                                  int,int),
14.33/14.55	                                                                  plus_plus(
14.33/14.55	                                                                  int),Z1),
14.33/14.55	                                                   Z2)),
14.33/14.55	                     W) =
14.33/14.55	      app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(int,int,
14.33/14.55	                                                   app_encode_app(int,
14.33/14.55	                                                                  app_encode_fun(
14.33/14.55	                                                                  int,int),
14.33/14.55	                                                                  times_times(
14.33/14.55	                                                                  int),Z1),
14.33/14.55	                                                   W)),
14.33/14.55	                     app_encode_app(int,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(int,int),
14.33/14.55	                                                   times_times(int),Z2),
14.33/14.55	                                    W))))).
14.33/14.55	tff('33', plain,
14.33/14.55	    ![X87 : int, X88 : int, X89 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	          app_encode_app(int, int, 
14.33/14.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	              X87), X89)), X88)
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, 
14.33/14.55	               app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                 times_times(int), X87), X88)), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X89), X88)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_91])).
14.33/14.55	tff('34', plain,
14.33/14.55	    ![X0 : int, X1 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
14.33/14.55	          X0))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	             app_encode_app(int, int, 
14.33/14.55	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	                 X1), X1)), X0),
14.33/14.55	    inference('sup+', [status(thm)], ['33', '30'])).
14.33/14.55	tff(zf_stmt_89, axiom,
14.33/14.55	  (![K1:int]:
14.33/14.55	     (app_encode_app(int,int,bit0,K1) =
14.33/14.55	      app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),K1),
14.33/14.55	                     K1)))).
14.33/14.55	tff('35', plain,
14.33/14.55	    ![X84 : int]:
14.33/14.55	      app_encode_app(int, int, bit0, X84)
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X84), 
14.33/14.55	           X84),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_89])).
14.33/14.55	tff('36', plain,
14.33/14.55	    ![X0 : int, X1 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
14.33/14.55	        app_encode_app(int, int, bit0, X0))
14.33/14.55	       = app_encode_app(int, int, bit0, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X1), X0)),
14.33/14.55	    inference('demod', [status(thm)], ['34', '35', '35', '4'])).
14.33/14.55	tff('37', plain,
14.33/14.55	    ![X0 : int, X1 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
14.33/14.55	        app_encode_app(int, int, bit1, X0))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
14.33/14.55	           app_encode_app(int, int, bit0, 
14.33/14.55	             app_encode_app(int, int, 
14.33/14.55	               app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                 times_times(int), X1), X0))),
14.33/14.55	    inference('demod', [status(thm)], ['32', '9', '36'])).
14.33/14.55	tff('38', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
14.33/14.55	        pls)
14.33/14.55	       = app_encode_app(int, int, bit0, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X0), pls)),
14.33/14.55	    inference('sup+', [status(thm)], ['8', '36'])).
14.33/14.55	tff('39', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
14.33/14.55	        app_encode_app(int, int, bit1, pls))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	               X0), pls)),
14.33/14.55	    inference('sup+', [status(thm)], ['15', '31'])).
14.33/14.55	tff('40', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), times_times(int), X0), 
14.33/14.55	          pls))
14.33/14.55	       = X0,
14.33/14.55	    inference('sup+', [status(thm)], ['39', '29'])).
14.33/14.55	tff('41', plain,
14.33/14.55	    app_encode_app(int, int, 
14.33/14.55	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), times_times(int), s), 
14.33/14.55	          s)), app_encode_app(int, int, bit1, pls))
14.33/14.55	     = app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)),
14.33/14.55	    inference('demod', [status(thm)], ['16', '23', '37', '38', '40'])).
14.33/14.55	tff(zf_stmt_167, conjecture,
14.33/14.55	  (?[X:int,Y:int]:
14.33/14.55	     (app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(nat,int,
14.33/14.55	                                                   app_encode_app(int,
14.33/14.55	                                                                  app_encode_fun(
14.33/14.55	                                                                  nat,int),
14.33/14.55	                                                                  power_power(
14.33/14.55	                                                                  int),X),
14.33/14.55	                                                   app_encode_app(int,nat,
14.33/14.55	                                                                  number_number_of(
14.33/14.55	                                                                  nat),
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  bit0,
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  bit1,pls))))),
14.33/14.55	                     app_encode_app(nat,int,
14.33/14.55	                                    app_encode_app(int,
14.33/14.55	                                                   app_encode_fun(nat,int),
14.33/14.55	                                                   power_power(int),Y),
14.33/14.55	                                    app_encode_app(int,nat,
14.33/14.55	                                                   number_number_of(nat),
14.33/14.55	                                                   app_encode_app(int,int,
14.33/14.55	                                                                  bit0,
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  bit1,pls))))) =
14.33/14.55	      app_encode_app(int,int,
14.33/14.55	                     app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                    plus_plus(int),
14.33/14.55	                                    app_encode_app(int,int,
14.33/14.55	                                                   app_encode_app(int,
14.33/14.55	                                                                  app_encode_fun(
14.33/14.55	                                                                  int,int),
14.33/14.55	                                                                  times_times(
14.33/14.55	                                                                  int),
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  number_number_of(
14.33/14.55	                                                                  int),
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  bit0,
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  bit0,
14.33/14.55	                                                                  app_encode_app(
14.33/14.55	                                                                  int,int,
14.33/14.55	                                                                  bit1,pls))))),
14.33/14.55	                                                   m)),
14.33/14.55	                     one_one(int))))).
14.33/14.55	tff(zf_stmt_0, negated_conjecture,
14.33/14.55	  (~
14.33/14.55	    (?[X:int,Y:int]:
14.33/14.55	       (app_encode_app(int,int,
14.33/14.55	                       app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                      plus_plus(int),
14.33/14.55	                                      app_encode_app(nat,int,
14.33/14.55	                                                     app_encode_app(int,
14.33/14.55	                                                                    app_encode_fun(
14.33/14.55	                                                                    nat,int),
14.33/14.55	                                                                    power_power(
14.33/14.55	                                                                    int),X),
14.33/14.55	                                                     app_encode_app(int,nat,
14.33/14.55	                                                                    number_number_of(
14.33/14.55	                                                                    nat),
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    bit0,
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    bit1,pls))))),
14.33/14.55	                       app_encode_app(nat,int,
14.33/14.55	                                      app_encode_app(int,
14.33/14.55	                                                     app_encode_fun(nat,int),
14.33/14.55	                                                     power_power(int),Y),
14.33/14.55	                                      app_encode_app(int,nat,
14.33/14.55	                                                     number_number_of(nat),
14.33/14.55	                                                     app_encode_app(int,int,
14.33/14.55	                                                                    bit0,
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    bit1,pls))))) =
14.33/14.55	        app_encode_app(int,int,
14.33/14.55	                       app_encode_app(int,app_encode_fun(int,int),
14.33/14.55	                                      plus_plus(int),
14.33/14.55	                                      app_encode_app(int,int,
14.33/14.55	                                                     app_encode_app(int,
14.33/14.55	                                                                    app_encode_fun(
14.33/14.55	                                                                    int,int),
14.33/14.55	                                                                    times_times(
14.33/14.55	                                                                    int),
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    number_number_of(
14.33/14.55	                                                                    int),
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    bit0,
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    bit0,
14.33/14.55	                                                                    app_encode_app(
14.33/14.55	                                                                    int,int,
14.33/14.55	                                                                    bit1,pls))))),
14.33/14.55	                                                     m)),
14.33/14.55	                       one_one(int)))))).
14.33/14.55	tff('42', plain,
14.33/14.55	    ![X177 : int, X178 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	          app_encode_app(nat, int, 
14.33/14.55	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
14.33/14.55	              X177), 
14.33/14.55	            app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	              app_encode_app(int, int, bit0, 
14.33/14.55	                app_encode_app(int, int, bit1, pls))))), 
14.33/14.55	        app_encode_app(nat, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
14.33/14.55	            X178), 
14.33/14.55	          app_encode_app(int, nat, number_number_of(nat), 
14.33/14.55	            app_encode_app(int, int, bit0, 
14.33/14.55	              app_encode_app(int, int, bit1, pls)))))
14.33/14.55	       != app_encode_app(int, int, 
14.33/14.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	              app_encode_app(int, int, 
14.33/14.55	                app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                  times_times(int), 
14.33/14.55	                  app_encode_app(int, int, number_number_of(int), 
14.33/14.55	                    app_encode_app(int, int, bit0, 
14.33/14.55	                      app_encode_app(int, int, bit0, 
14.33/14.55	                        app_encode_app(int, int, bit1, pls))))), m)), 
14.33/14.55	            one_one(int)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
14.33/14.55	tff(zf_stmt_72, axiom,
14.33/14.55	  (![A:$tType]:
14.33/14.55	     (number_ring(A) =>
14.33/14.55	      (![Z:A,W:int,V:int]:
14.33/14.55	         (app_encode_app(A,A,
14.33/14.55	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
14.33/14.55	                                        app_encode_app(int,A,
14.33/14.55	                                                       number_number_of(A),V)),
14.33/14.55	                         app_encode_app(A,A,
14.33/14.55	                                        app_encode_app(A,app_encode_fun(A,A),
14.33/14.55	                                                       plus_plus(A),
14.33/14.55	                                                       app_encode_app(
14.33/14.55	                                                       int,A,
14.33/14.55	                                                       number_number_of(A),W)),
14.33/14.55	                                        Z)) =
14.33/14.55	          app_encode_app(A,A,
14.33/14.55	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
14.33/14.55	                                        app_encode_app(int,A,
14.33/14.55	                                                       number_number_of(A),
14.33/14.55	                                                       app_encode_app(
14.33/14.55	                                                       int,int,
14.33/14.55	                                                       app_encode_app(
14.33/14.55	                                                       int,
14.33/14.55	                                                       app_encode_fun(
14.33/14.55	                                                       int,int),
14.33/14.55	                                                       plus_plus(int),V),W))),
14.33/14.55	                         Z)))))).
14.33/14.55	tff('43', plain,
14.33/14.55	    ![X58 : $tType, X59 : int, X60 : int, X61 : X58]:
14.33/14.55	      (app_encode_app(X58, X58, 
14.33/14.55	         app_encode_app(X58, app_encode_fun(X58, X58), plus_plus(X58), 
14.33/14.55	           app_encode_app(int, X58, number_number_of(X58), X59)), 
14.33/14.55	         app_encode_app(X58, X58, 
14.33/14.55	           app_encode_app(X58, app_encode_fun(X58, X58), plus_plus(X58), 
14.33/14.55	             app_encode_app(int, X58, number_number_of(X58), X60)), X61))
14.33/14.55	        = app_encode_app(X58, X58, 
14.33/14.55	            app_encode_app(X58, app_encode_fun(X58, X58), plus_plus(X58), 
14.33/14.55	              app_encode_app(int, X58, number_number_of(X58), 
14.33/14.55	                app_encode_app(int, int, 
14.33/14.55	                  app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                    plus_plus(int), X59), X60))), X61)
14.33/14.55	       | ~ number_ring(X58)),
14.33/14.55	    inference('cnf', [status(esa)], [zf_stmt_72])).
14.33/14.55	tff('44', plain,
14.33/14.55	    ![X0 : int, X1 : int, X2 : int]:
14.33/14.55	      (~ $true
14.33/14.55	       | app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, number_number_of(int), X2)), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               app_encode_app(int, int, number_number_of(int), X1)), X0))
14.33/14.55	          = app_encode_app(int, int, 
14.33/14.55	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	                app_encode_app(int, int, number_number_of(int), 
14.33/14.55	                  app_encode_app(int, int, 
14.33/14.55	                    app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                      plus_plus(int), X2), X1))), X0)),
14.33/14.55	    inference('sup-', [status(thm)], ['25', '43'])).
14.33/14.55	tff('45', plain,
14.33/14.55	    ![X0 : int, X1 : int, X2 : int]:
14.33/14.55	      (~ $true
14.33/14.55	       | app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               X1), X0))
14.33/14.55	          = app_encode_app(int, int, 
14.33/14.55	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	                app_encode_app(int, int, 
14.33/14.55	                  app_encode_app(int, app_encode_fun(int, int), 
14.33/14.55	                    plus_plus(int), X2), X1)), X0)),
14.33/14.55	    inference('demod', [status(thm)], ['44', '2', '2', '2'])).
14.33/14.55	tff('46', plain,
14.33/14.55	    ![X0 : int, X1 : int, X2 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
14.33/14.55	          X0))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, 
14.33/14.55	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	                 X2), X1)), X0),
14.33/14.55	    inference('simplify', [status(thm)], ['45'])).
14.33/14.55	tff('47', plain,
14.33/14.55	    ![X0 : int, X1 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
14.33/14.55	          X1))
14.33/14.55	       = app_encode_app(int, int, 
14.33/14.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	             app_encode_app(int, int, bit0, X0)), X1),
14.33/14.55	    inference('sup+', [status(thm)], ['35', '46'])).
14.33/14.55	tff('48', plain,
14.33/14.55	    ![X67 : int, X68 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X67), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X67), 
14.33/14.55	          app_encode_app(int, int, bit1, X68)))
14.33/14.55	       = app_encode_app(int, int, bit1, 
14.33/14.55	           app_encode_app(int, int, 
14.33/14.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	               X67), X68)),
14.33/14.55	    inference('demod', [status(thm)], ['14', '47'])).
14.33/14.55	tff('49', plain,
14.33/14.55	    ![X177 : int, X178 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	          app_encode_app(int, int, 
14.33/14.55	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	              X177), X177)), 
14.33/14.55	        app_encode_app(int, int, 
14.33/14.55	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	            X178), X178))
14.33/14.55	       != app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)),
14.33/14.55	    inference('demod', [status(thm)],
14.33/14.55	              ['42', '23', '23', '2', '4', '4', '10', '3', '47', '47', '48', 
14.33/14.55	               '15', '47', '48', '35'])).
14.33/14.55	tff('50', plain,
14.33/14.55	    ![X0 : int]:
14.33/14.55	      app_encode_app(int, int, 
14.33/14.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
14.33/14.55	          app_encode_app(int, int, 
14.33/14.55	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
14.33/14.55	              X0), X0)), app_encode_app(int, int, bit1, pls))
14.33/14.55	       != app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m)),
14.33/14.55	    inference('sup-', [status(thm)], ['10', '49'])).
14.33/14.55	tff('51', plain, $false,
14.33/14.55	    inference('simplify_reflect-', [status(thm)], ['41', '50'])).
14.33/14.55	
14.33/14.55	% SZS output end Refutation
14.33/14.55	EOF
