0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n036.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:31:09 CST 2018
2.32/2.54	% done 1165 iterations in 2.333s
2.32/2.54	% SZS status Theorem for 'stdin'
2.32/2.54	% SZS output start Refutation
2.32/2.55	tff(zf_stmt_30, axiom,
2.32/2.55	  (app_encode_app(int,$o,
2.32/2.55	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
2.32/2.55	                                 app_encode_app(int,int,
2.32/2.55	                                                app_encode_app(int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               times_times_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               plus_plus_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               times_times_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               number_number_of_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit1,
2.32/2.55	                                                               pls))))),m)),
2.32/2.55	                                                               one_one_int)),
2.32/2.55	                                                t)),
2.32/2.55	                  app_encode_app(int,int,
2.32/2.55	                                 app_encode_app(int,app_encode_fun(int,int),
2.32/2.55	                                                times_times_int,
2.32/2.55	                                                app_encode_app(int,int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               plus_plus_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               times_times_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               number_number_of_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit1,
2.32/2.55	                                                               pls))))),m)),
2.32/2.55	                                                               one_one_int)),
2.32/2.55	                                 zero_zero_int)))).
2.32/2.55	tff('0', plain,
2.32/2.55	    app_encode_app(int, $o, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	        app_encode_app(int, int, 
2.32/2.55	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.32/2.55	            app_encode_app(int, int, 
2.32/2.55	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	                app_encode_app(int, int, 
2.32/2.55	                  app_encode_app(int, app_encode_fun(int, int), 
2.32/2.55	                    times_times_int, 
2.32/2.55	                    app_encode_app(int, int, number_number_of_int, 
2.32/2.55	                      app_encode_app(int, int, bit0, 
2.32/2.55	                        app_encode_app(int, int, bit0, 
2.32/2.55	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.32/2.55	              one_one_int)), t)), 
2.32/2.55	      app_encode_app(int, int, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.32/2.55	          app_encode_app(int, int, 
2.32/2.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	              app_encode_app(int, int, 
2.32/2.55	                app_encode_app(int, app_encode_fun(int, int), 
2.32/2.55	                  times_times_int, 
2.32/2.55	                  app_encode_app(int, int, number_number_of_int, 
2.32/2.55	                    app_encode_app(int, int, bit0, 
2.32/2.55	                      app_encode_app(int, int, bit0, 
2.32/2.55	                        app_encode_app(int, int, bit1, pls))))), m)), 
2.32/2.55	            one_one_int)), zero_zero_int)),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_30])).
2.32/2.55	tff(zf_stmt_52, axiom,
2.32/2.55	  (![K_1:int]: (app_encode_app(int,int,number_number_of_int,K_1) = K_1))).
2.32/2.55	tff('1', plain,
2.32/2.55	    ![X16 : int]: app_encode_app(int, int, number_number_of_int, X16) = X16,
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_52])).
2.32/2.55	tff(zf_stmt_53, axiom,
2.32/2.55	  (![Z:int,W:int]:
2.32/2.55	     (app_encode_app(int,int,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,int),
2.32/2.55	                                    times_times_int,Z),
2.32/2.55	                     W) =
2.32/2.55	      app_encode_app(int,int,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,int),
2.32/2.55	                                    times_times_int,W),
2.32/2.55	                     Z)))).
2.32/2.55	tff('2', plain,
2.32/2.55	    ![X17 : int, X18 : int]:
2.32/2.55	      app_encode_app(int, int, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X18), 
2.32/2.55	        X17)
2.32/2.55	       = app_encode_app(int, int, 
2.32/2.55	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.32/2.55	             X17), X18),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_53])).
2.32/2.55	tff(zf_stmt_133, axiom,
2.32/2.55	  (zero_zero_int = app_encode_app(int,int,number_number_of_int,pls))).
2.32/2.55	tff('3', plain,
2.32/2.55	    zero_zero_int = app_encode_app(int, int, number_number_of_int, pls),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_133])).
2.32/2.55	tff('4', plain, zero_zero_int = pls,
2.32/2.55	    inference('demod', [status(thm)], ['3', '1'])).
2.32/2.55	tff(zf_stmt_94, axiom,
2.32/2.55	  (![W:int]:
2.32/2.55	     (app_encode_app(int,int,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,int),
2.32/2.55	                                    times_times_int,pls),
2.32/2.55	                     W) =
2.32/2.55	      pls))).
2.32/2.55	tff('5', plain,
2.32/2.55	    ![X110 : int]:
2.32/2.55	      app_encode_app(int, int, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, int), times_times_int, pls), 
2.32/2.55	        X110)
2.32/2.55	       = pls,
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_94])).
2.32/2.55	tff('6', plain,
2.32/2.55	    ![X0 : int]:
2.32/2.55	      app_encode_app(int, int, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X0), 
2.32/2.55	        pls)
2.32/2.55	       = pls,
2.32/2.55	    inference('sup+', [status(thm)], ['2', '5'])).
2.32/2.55	tff('7', plain,
2.32/2.55	    app_encode_app(int, $o, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	        app_encode_app(int, int, 
2.32/2.55	          app_encode_app(int, app_encode_fun(int, int), times_times_int, t), 
2.32/2.55	          app_encode_app(int, int, 
2.32/2.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	              app_encode_app(int, int, 
2.32/2.55	                app_encode_app(int, app_encode_fun(int, int), 
2.32/2.55	                  times_times_int, m), 
2.32/2.55	                app_encode_app(int, int, bit0, 
2.32/2.55	                  app_encode_app(int, int, bit0, 
2.32/2.55	                    app_encode_app(int, int, bit1, pls))))), one_one_int))), 
2.32/2.55	      pls),
2.32/2.55	    inference('demod', [status(thm)],
2.32/2.55	              ['0', '1', '2', '2', '1', '2', '4', '6'])).
2.32/2.55	tff(zf_stmt_31, axiom,
2.32/2.55	  (app_encode_app(int,int,
2.32/2.55	                  app_encode_app(int,app_encode_fun(int,int),plus_plus_int,
2.32/2.55	                                 app_encode_app(nat,int,
2.32/2.55	                                                app_encode_app(int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               nat,int),
2.32/2.55	                                                               power_power_int,
2.32/2.55	                                                               s),
2.32/2.55	                                                app_encode_app(int,nat,
2.32/2.55	                                                               number_number_of_nat,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit1,
2.32/2.55	                                                               pls))))),
2.32/2.55	                  one_one_int) =
2.32/2.55	   app_encode_app(int,int,
2.32/2.55	                  app_encode_app(int,app_encode_fun(int,int),times_times_int,
2.32/2.55	                                 app_encode_app(int,int,
2.32/2.55	                                                app_encode_app(int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               plus_plus_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               times_times_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,
2.32/2.55	                                                               number_number_of_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit1,
2.32/2.55	                                                               pls))))),m)),
2.32/2.55	                                                one_one_int)),
2.32/2.55	                  t))).
2.32/2.55	tff('8', plain,
2.32/2.55	    app_encode_app(int, int, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	        app_encode_app(nat, int, 
2.32/2.55	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
2.32/2.55	          app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	            app_encode_app(int, int, bit0, 
2.32/2.55	              app_encode_app(int, int, bit1, pls))))), one_one_int)
2.32/2.55	     = app_encode_app(int, int, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
2.32/2.55	           app_encode_app(int, int, 
2.32/2.55	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	               app_encode_app(int, int, 
2.32/2.55	                 app_encode_app(int, app_encode_fun(int, int), 
2.32/2.55	                   times_times_int, 
2.32/2.55	                   app_encode_app(int, int, number_number_of_int, 
2.32/2.55	                     app_encode_app(int, int, bit0, 
2.32/2.55	                       app_encode_app(int, int, bit0, 
2.32/2.55	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.32/2.55	             one_one_int)), t),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_31])).
2.32/2.55	tff('9', plain,
2.32/2.55	    app_encode_app(int, int, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	        app_encode_app(nat, int, 
2.32/2.55	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
2.32/2.55	          app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	            app_encode_app(int, int, bit0, 
2.32/2.55	              app_encode_app(int, int, bit1, pls))))), one_one_int)
2.32/2.55	     = app_encode_app(int, int, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, int), times_times_int, t), 
2.32/2.55	         app_encode_app(int, int, 
2.32/2.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	             app_encode_app(int, int, 
2.32/2.55	               app_encode_app(int, app_encode_fun(int, int), 
2.32/2.55	                 times_times_int, m), 
2.32/2.55	               app_encode_app(int, int, bit0, 
2.32/2.55	                 app_encode_app(int, int, bit0, 
2.32/2.55	                   app_encode_app(int, int, bit1, pls))))), one_one_int)),
2.32/2.55	    inference('demod', [status(thm)], ['8', '1', '2', '2'])).
2.32/2.55	tff('10', plain,
2.32/2.55	    app_encode_app(int, $o, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	        app_encode_app(int, int, 
2.32/2.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	            app_encode_app(nat, int, 
2.32/2.55	              app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.32/2.55	                s), 
2.32/2.55	              app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	                app_encode_app(int, int, bit0, 
2.32/2.55	                  app_encode_app(int, int, bit1, pls))))), one_one_int)), 
2.32/2.55	      pls),
2.32/2.55	    inference('demod', [status(thm)], ['7', '9'])).
2.32/2.55	tff(zf_stmt_51, axiom,
2.32/2.55	  (![W:int]:
2.32/2.55	     app_encode_app(int,$o,
2.32/2.55	                    app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                   ord_less_eq_int,W),
2.32/2.55	                    W))).
2.32/2.55	tff('11', plain,
2.32/2.55	    ![X15 : int]:
2.32/2.55	      app_encode_app(int, $o, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X15), 
2.32/2.55	        X15),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_51])).
2.32/2.55	tff(zf_stmt_92, axiom,
2.32/2.55	  (![Y_1:int]:
2.32/2.55	     (app_encode_app(int,$o,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                    ord_less_eq_int,one_one_int),
2.32/2.55	                     app_encode_app(int,int,number_number_of_int,Y_1)) <=>
2.32/2.55	      app_encode_app(int,$o,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                    ord_less_eq_int,
2.32/2.55	                                    app_encode_app(int,int,bit1,pls)),
2.32/2.55	                     Y_1)))).
2.32/2.55	tff('12', plain,
2.32/2.55	    ![X109 : int]:
2.32/2.55	      (app_encode_app(int, $o, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	           one_one_int), 
2.32/2.55	         app_encode_app(int, int, number_number_of_int, X109))
2.32/2.55	       | ~ app_encode_app(int, $o, 
2.32/2.55	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	               app_encode_app(int, int, bit1, pls)), X109)),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_92])).
2.32/2.55	tff('13', plain,
2.32/2.55	    ![X109 : int]:
2.32/2.55	      (app_encode_app(int, $o, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	           one_one_int), X109)
2.32/2.55	       | ~ app_encode_app(int, $o, 
2.32/2.55	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	               app_encode_app(int, int, bit1, pls)), X109)),
2.32/2.55	    inference('demod', [status(thm)], ['12', '1'])).
2.32/2.55	tff('14', plain,
2.32/2.55	    (~ $true
2.32/2.55	     | app_encode_app(int, $o, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	           one_one_int), app_encode_app(int, int, bit1, pls))),
2.32/2.55	    inference('sup-', [status(thm)], ['11', '13'])).
2.32/2.55	tff('15', plain,
2.32/2.55	    app_encode_app(int, $o, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	        one_one_int), app_encode_app(int, int, bit1, pls)),
2.32/2.55	    inference('simplify', [status(thm)], ['14'])).
2.32/2.55	tff(zf_stmt_60, axiom,
2.32/2.55	  (![Z:int,W:int]:
2.32/2.55	     (app_encode_app(int,$o,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                    ord_less_eq_int,Z),
2.32/2.55	                     W) =>
2.32/2.55	      (app_encode_app(int,$o,
2.32/2.55	                      app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                     ord_less_eq_int,W),
2.32/2.55	                      Z) =>
2.32/2.55	       (Z = W))))).
2.32/2.55	tff('16', plain,
2.32/2.55	    ![X35 : int, X36 : int]:
2.32/2.55	      (~ app_encode_app(int, $o, 
2.32/2.55	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X35), 
2.32/2.55	           X36)
2.32/2.55	       | X36 = X35
2.32/2.55	       | ~ app_encode_app(int, $o, 
2.32/2.55	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	               X36), X35)),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_60])).
2.32/2.55	tff('17', plain,
2.32/2.55	    (~ $true
2.32/2.55	     | ~ app_encode_app(int, $o, 
2.32/2.55	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	             app_encode_app(int, int, bit1, pls)), one_one_int)
2.32/2.55	     | app_encode_app(int, int, bit1, pls) = one_one_int),
2.32/2.55	    inference('sup-', [status(thm)], ['15', '16'])).
2.32/2.55	tff(zf_stmt_91, axiom,
2.32/2.55	  (![X_1:int]:
2.32/2.55	     (app_encode_app(int,$o,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                    ord_less_eq_int,
2.32/2.55	                                    app_encode_app(int,int,
2.32/2.55	                                                   number_number_of_int,X_1)),
2.32/2.55	                     one_one_int) <=>
2.32/2.55	      app_encode_app(int,$o,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,$o),
2.32/2.55	                                    ord_less_eq_int,X_1),
2.32/2.55	                     app_encode_app(int,int,bit1,pls))))).
2.32/2.55	tff('18', plain,
2.32/2.55	    ![X107 : int]:
2.32/2.55	      (app_encode_app(int, $o, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	           app_encode_app(int, int, number_number_of_int, X107)), 
2.32/2.55	         one_one_int)
2.32/2.55	       | ~ app_encode_app(int, $o, 
2.32/2.55	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	               X107), app_encode_app(int, int, bit1, pls))),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_91])).
2.32/2.55	tff('19', plain,
2.32/2.55	    ![X107 : int]:
2.32/2.55	      (app_encode_app(int, $o, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, X107), 
2.32/2.55	         one_one_int)
2.32/2.55	       | ~ app_encode_app(int, $o, 
2.32/2.55	             app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	               X107), app_encode_app(int, int, bit1, pls))),
2.32/2.55	    inference('demod', [status(thm)], ['18', '1'])).
2.32/2.55	tff('20', plain,
2.32/2.55	    (~ $true
2.32/2.55	     | app_encode_app(int, $o, 
2.32/2.55	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	           app_encode_app(int, int, bit1, pls)), one_one_int)),
2.32/2.55	    inference('sup-', [status(thm)], ['11', '19'])).
2.32/2.55	tff('21', plain,
2.32/2.55	    app_encode_app(int, $o, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq_int, 
2.32/2.55	        app_encode_app(int, int, bit1, pls)), one_one_int),
2.32/2.55	    inference('simplify', [status(thm)], ['20'])).
2.32/2.55	tff('22', plain,
2.32/2.55	    (~ $true | ~ $true | app_encode_app(int, int, bit1, pls) = one_one_int),
2.32/2.55	    inference('demod', [status(thm)], ['17', '21'])).
2.32/2.55	tff('23', plain, app_encode_app(int, int, bit1, pls) = one_one_int,
2.32/2.55	    inference('simplify', [status(thm)], ['22'])).
2.32/2.55	tff(zf_stmt_132, axiom,
2.32/2.55	  (![Z:int,W:int]:
2.32/2.55	     (app_encode_app(int,int,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,int),
2.32/2.55	                                    plus_plus_int,Z),
2.32/2.55	                     W) =
2.32/2.55	      app_encode_app(int,int,
2.32/2.55	                     app_encode_app(int,app_encode_fun(int,int),
2.32/2.55	                                    plus_plus_int,W),
2.32/2.55	                     Z)))).
2.32/2.55	tff('24', plain,
2.32/2.55	    ![X201 : int, X202 : int]:
2.32/2.55	      app_encode_app(int, int, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X202), 
2.32/2.55	        X201)
2.32/2.55	       = app_encode_app(int, int, 
2.32/2.55	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X201), 
2.32/2.55	           X202),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_132])).
2.32/2.55	tff('25', plain,
2.32/2.55	    app_encode_app(int, $o, 
2.32/2.55	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	        app_encode_app(int, int, 
2.32/2.55	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	            one_one_int), 
2.32/2.55	          app_encode_app(nat, int, 
2.32/2.55	            app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
2.32/2.55	            app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	              app_encode_app(int, int, bit0, one_one_int))))), pls),
2.32/2.55	    inference('demod', [status(thm)], ['10', '23', '24'])).
2.32/2.55	tff(zf_stmt_134, conjecture,
2.32/2.55	  (app_encode_app(int,$o,
2.32/2.55	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
2.32/2.55	                                 app_encode_app(int,int,
2.32/2.55	                                                app_encode_app(int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               int,int),
2.32/2.55	                                                               plus_plus_int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               nat,int,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,
2.32/2.55	                                                               app_encode_fun(
2.32/2.55	                                                               nat,int),
2.32/2.55	                                                               power_power_int,
2.32/2.55	                                                               s),
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,nat,
2.32/2.55	                                                               number_number_of_nat,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit0,
2.32/2.55	                                                               app_encode_app(
2.32/2.55	                                                               int,int,bit1,
2.32/2.55	                                                               pls))))),
2.32/2.55	                                                one_one_int)),
2.32/2.55	                  zero_zero_int))).
2.32/2.55	tff(zf_stmt_0, negated_conjecture,
2.32/2.55	  (~
2.32/2.55	    app_encode_app(int,$o,
2.32/2.55	                   app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
2.32/2.55	                                  app_encode_app(int,int,
2.32/2.55	                                                 app_encode_app(int,
2.32/2.55	                                                                app_encode_fun(
2.32/2.55	                                                                int,int),
2.32/2.55	                                                                plus_plus_int,
2.32/2.55	                                                                app_encode_app(
2.32/2.55	                                                                nat,int,
2.32/2.55	                                                                app_encode_app(
2.32/2.55	                                                                int,
2.32/2.55	                                                                app_encode_fun(
2.32/2.55	                                                                nat,int),
2.32/2.55	                                                                power_power_int,
2.32/2.55	                                                                s),
2.32/2.55	                                                                app_encode_app(
2.32/2.55	                                                                int,nat,
2.32/2.55	                                                                number_number_of_nat,
2.32/2.55	                                                                app_encode_app(
2.32/2.55	                                                                int,int,bit0,
2.32/2.55	                                                                app_encode_app(
2.32/2.55	                                                                int,int,bit1,
2.32/2.55	                                                                pls))))),
2.32/2.55	                                                 one_one_int)),
2.32/2.55	                   zero_zero_int))).
2.32/2.55	tff('26', plain,
2.32/2.55	    ~ app_encode_app(int, $o, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	          app_encode_app(int, int, 
2.32/2.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	              app_encode_app(nat, int, 
2.32/2.55	                app_encode_app(int, app_encode_fun(nat, int), 
2.32/2.55	                  power_power_int, s), 
2.32/2.55	                app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	                  app_encode_app(int, int, bit0, 
2.32/2.55	                    app_encode_app(int, int, bit1, pls))))), one_one_int)), 
2.32/2.55	        zero_zero_int),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.32/2.55	tff(zf_stmt_93, axiom,
2.32/2.55	  (app_encode_app(nat,nat,
2.32/2.55	                  app_encode_app(nat,app_encode_fun(nat,nat),plus_plus_nat,
2.32/2.55	                                 one_one_nat),
2.32/2.55	                  one_one_nat) =
2.32/2.55	   app_encode_app(int,nat,number_number_of_nat,
2.32/2.55	                  app_encode_app(int,int,bit0,
2.32/2.55	                                 app_encode_app(int,int,bit1,pls))))).
2.32/2.55	tff('27', plain,
2.32/2.55	    app_encode_app(nat, nat, 
2.32/2.55	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus_nat, 
2.32/2.55	        one_one_nat), one_one_nat)
2.32/2.55	     = app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))),
2.32/2.55	    inference('cnf', [status(esa)], [zf_stmt_93])).
2.32/2.55	tff('28', plain,
2.32/2.55	    ~ app_encode_app(int, $o, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	          app_encode_app(int, int, 
2.32/2.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	              one_one_int), 
2.32/2.55	            app_encode_app(nat, int, 
2.32/2.55	              app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.32/2.55	                s), 
2.32/2.55	              app_encode_app(nat, nat, 
2.32/2.55	                app_encode_app(nat, app_encode_fun(nat, nat), plus_plus_nat, 
2.32/2.55	                  one_one_nat), one_one_nat)))), pls),
2.32/2.55	    inference('demod', [status(thm)], ['26', '27', '24', '4'])).
2.32/2.55	tff('29', plain,
2.32/2.55	    app_encode_app(nat, nat, 
2.32/2.55	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus_nat, 
2.32/2.55	        one_one_nat), one_one_nat)
2.32/2.55	     = app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	         app_encode_app(int, int, bit0, one_one_int)),
2.32/2.55	    inference('demod', [status(thm)], ['27', '23'])).
2.32/2.55	tff('30', plain,
2.32/2.55	    ~ app_encode_app(int, $o, 
2.32/2.55	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
2.32/2.55	          app_encode_app(int, int, 
2.32/2.55	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
2.32/2.55	              one_one_int), 
2.32/2.55	            app_encode_app(nat, int, 
2.32/2.55	              app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
2.32/2.55	                s), 
2.32/2.55	              app_encode_app(int, nat, number_number_of_nat, 
2.32/2.55	                app_encode_app(int, int, bit0, one_one_int))))), pls),
2.32/2.55	    inference('demod', [status(thm)], ['28', '29'])).
2.32/2.55	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['25', '30'])).
2.32/2.55	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
2.32/2.55	
2.32/2.55	% SZS output end Refutation
2.32/2.55	EOF
