0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n157.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:37:53 CST 2018
20.85/21.03	% done 6311 iterations in 20.823s
20.85/21.03	% SZS status Theorem for 'stdin'
20.85/21.03	% SZS output start Refutation
20.85/21.03	tff(zf_stmt_51, axiom,
20.85/21.03	  (app_encode_app(int,$o,
20.85/21.03	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
20.85/21.03	                                 app_encode_app(int,int,
20.85/21.03	                                                app_encode_app(int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               times_times_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               plus_plus_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               times_times_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               number_number_of_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit1,
20.85/21.03	                                                               pls))))),m)),
20.85/21.03	                                                               one_one_int)),
20.85/21.03	                                                t)),
20.85/21.03	                  app_encode_app(int,int,
20.85/21.03	                                 app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                                times_times_int,
20.85/21.03	                                                app_encode_app(int,int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               plus_plus_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               times_times_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               number_number_of_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit1,
20.85/21.03	                                                               pls))))),m)),
20.85/21.03	                                                               one_one_int)),
20.85/21.03	                                 zero_zero_int)))).
20.85/21.03	tff('0', plain,
20.85/21.03	    app_encode_app(int, $o, 
20.85/21.03	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
20.85/21.03	        app_encode_app(int, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	            app_encode_app(int, int, 
20.85/21.03	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	                app_encode_app(int, int, 
20.85/21.03	                  app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                    times_times_int, 
20.85/21.03	                    app_encode_app(int, int, number_number_of_int, 
20.85/21.03	                      app_encode_app(int, int, bit0, 
20.85/21.03	                        app_encode_app(int, int, bit0, 
20.85/21.03	                          app_encode_app(int, int, bit1, pls))))), m)), 
20.85/21.03	              one_one_int)), t)), 
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	              app_encode_app(int, int, 
20.85/21.03	                app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                  times_times_int, 
20.85/21.03	                  app_encode_app(int, int, number_number_of_int, 
20.85/21.03	                    app_encode_app(int, int, bit0, 
20.85/21.03	                      app_encode_app(int, int, bit0, 
20.85/21.03	                        app_encode_app(int, int, bit1, pls))))), m)), 
20.85/21.03	            one_one_int)), zero_zero_int)),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_51])).
20.85/21.03	tff(zf_stmt_83, axiom,
20.85/21.03	  (![K:int]: (app_encode_app(int,int,number_number_of_int,K) = K))).
20.85/21.03	tff('1', plain,
20.85/21.03	    ![X35 : int]: app_encode_app(int, int, number_number_of_int, X35) = X35,
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_83])).
20.85/21.03	tff(zf_stmt_207, axiom,
20.85/21.03	  (one_one_int =
20.85/21.03	   app_encode_app(int,int,number_number_of_int,
20.85/21.03	                  app_encode_app(int,int,bit1,pls)))).
20.85/21.03	tff('2', plain,
20.85/21.03	    one_one_int
20.85/21.03	     = app_encode_app(int, int, number_number_of_int, 
20.85/21.03	         app_encode_app(int, int, bit1, pls)),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_207])).
20.85/21.03	tff('3', plain, one_one_int = app_encode_app(int, int, bit1, pls),
20.85/21.03	    inference('demod', [status(thm)], ['2', '1'])).
20.85/21.03	tff(zf_stmt_219, axiom, (pls = zero_zero_int)).
20.85/21.03	tff('4', plain, pls = zero_zero_int,
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_219])).
20.85/21.03	tff('5', plain,
20.85/21.03	    app_encode_app(int, $o, 
20.85/21.03	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
20.85/21.03	        app_encode_app(int, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	            app_encode_app(int, int, 
20.85/21.03	              app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	                app_encode_app(int, int, 
20.85/21.03	                  app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                    times_times_int, 
20.85/21.03	                    app_encode_app(int, int, bit0, 
20.85/21.03	                      app_encode_app(int, int, bit0, 
20.85/21.03	                        app_encode_app(int, int, bit1, pls)))), m)), 
20.85/21.03	              app_encode_app(int, int, bit1, pls))), t)), 
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	              app_encode_app(int, int, 
20.85/21.03	                app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                  times_times_int, 
20.85/21.03	                  app_encode_app(int, int, bit0, 
20.85/21.03	                    app_encode_app(int, int, bit0, 
20.85/21.03	                      app_encode_app(int, int, bit1, pls)))), m)), 
20.85/21.03	            app_encode_app(int, int, bit1, pls))), pls)),
20.85/21.03	    inference('demod', [status(thm)], ['0', '1', '3', '1', '3', '4'])).
20.85/21.03	tff(zf_stmt_52, axiom,
20.85/21.03	  (app_encode_app(int,int,
20.85/21.03	                  app_encode_app(int,app_encode_fun(int,int),plus_plus_int,
20.85/21.03	                                 app_encode_app(nat,int,
20.85/21.03	                                                app_encode_app(int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               nat,int),
20.85/21.03	                                                               power_power_int,
20.85/21.03	                                                               s),
20.85/21.03	                                                app_encode_app(int,nat,
20.85/21.03	                                                               number_number_of_nat,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit1,
20.85/21.03	                                                               pls))))),
20.85/21.03	                  one_one_int) =
20.85/21.03	   app_encode_app(int,int,
20.85/21.03	                  app_encode_app(int,app_encode_fun(int,int),times_times_int,
20.85/21.03	                                 app_encode_app(int,int,
20.85/21.03	                                                app_encode_app(int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               plus_plus_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               times_times_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,
20.85/21.03	                                                               number_number_of_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit1,
20.85/21.03	                                                               pls))))),m)),
20.85/21.03	                                                one_one_int)),
20.85/21.03	                  t))).
20.85/21.03	tff('6', plain,
20.85/21.03	    app_encode_app(int, int, 
20.85/21.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	        app_encode_app(nat, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
20.85/21.03	          app_encode_app(int, nat, number_number_of_nat, 
20.85/21.03	            app_encode_app(int, int, bit0, 
20.85/21.03	              app_encode_app(int, int, bit1, pls))))), one_one_int)
20.85/21.03	     = app_encode_app(int, int, 
20.85/21.03	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	               app_encode_app(int, int, 
20.85/21.03	                 app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                   times_times_int, 
20.85/21.03	                   app_encode_app(int, int, number_number_of_int, 
20.85/21.03	                     app_encode_app(int, int, bit0, 
20.85/21.03	                       app_encode_app(int, int, bit0, 
20.85/21.03	                         app_encode_app(int, int, bit1, pls))))), m)), 
20.85/21.03	             one_one_int)), t),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_52])).
20.85/21.03	tff('7', plain,
20.85/21.03	    app_encode_app(int, int, 
20.85/21.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	        app_encode_app(nat, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(nat, int), power_power_int, s), 
20.85/21.03	          app_encode_app(int, nat, number_number_of_nat, 
20.85/21.03	            app_encode_app(int, int, bit0, 
20.85/21.03	              app_encode_app(int, int, bit1, pls))))), 
20.85/21.03	      app_encode_app(int, int, bit1, pls))
20.85/21.03	     = app_encode_app(int, int, 
20.85/21.03	         app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	               app_encode_app(int, int, 
20.85/21.03	                 app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                   times_times_int, 
20.85/21.03	                   app_encode_app(int, int, bit0, 
20.85/21.03	                     app_encode_app(int, int, bit0, 
20.85/21.03	                       app_encode_app(int, int, bit1, pls)))), m)), 
20.85/21.03	             app_encode_app(int, int, bit1, pls))), t),
20.85/21.03	    inference('demod', [status(thm)], ['6', '3', '1', '3'])).
20.85/21.03	tff('8', plain,
20.85/21.03	    app_encode_app(int, $o, 
20.85/21.03	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
20.85/21.03	        app_encode_app(int, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	            app_encode_app(nat, int, 
20.85/21.03	              app_encode_app(int, app_encode_fun(nat, int), power_power_int, 
20.85/21.03	                s), 
20.85/21.03	              app_encode_app(int, nat, number_number_of_nat, 
20.85/21.03	                app_encode_app(int, int, bit0, 
20.85/21.03	                  app_encode_app(int, int, bit1, pls))))), 
20.85/21.03	          app_encode_app(int, int, bit1, pls))), 
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	              app_encode_app(int, int, 
20.85/21.03	                app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                  times_times_int, 
20.85/21.03	                  app_encode_app(int, int, bit0, 
20.85/21.03	                    app_encode_app(int, int, bit0, 
20.85/21.03	                      app_encode_app(int, int, bit1, pls)))), m)), 
20.85/21.03	            app_encode_app(int, int, bit1, pls))), pls)),
20.85/21.03	    inference('demod', [status(thm)], ['5', '7'])).
20.85/21.03	tff(zf_stmt_250, axiom,
20.85/21.03	  (![A_55:int]:
20.85/21.03	     (app_encode_app(nat,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(nat,int),
20.85/21.03	                                    power_power_int,A_55),
20.85/21.03	                     app_encode_app(int,nat,number_number_of_nat,
20.85/21.03	                                    app_encode_app(int,int,bit0,
20.85/21.03	                                                   app_encode_app(int,int,
20.85/21.03	                                                                  bit1,pls)))) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,A_55),
20.85/21.03	                     A_55)))).
20.85/21.03	tff('9', plain,
20.85/21.03	    ![X371 : int]:
20.85/21.03	      app_encode_app(nat, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(nat, int), power_power_int, X371), 
20.85/21.03	        app_encode_app(int, nat, number_number_of_nat, 
20.85/21.03	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	             X371), X371),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_250])).
20.85/21.03	tff(zf_stmt_181, axiom,
20.85/21.03	  (![Z:int,W:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,Z),
20.85/21.03	                     W) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,W),
20.85/21.03	                     Z)))).
20.85/21.03	tff('10', plain,
20.85/21.03	    ![X265 : int, X266 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X266), 
20.85/21.03	        X265)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X265), 
20.85/21.03	           X266),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_181])).
20.85/21.03	tff(zf_stmt_138, axiom,
20.85/21.03	  (![K:int,L:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,
20.85/21.03	                                    app_encode_app(int,int,bit0,K)),
20.85/21.03	                     L) =
20.85/21.03	      app_encode_app(int,int,bit0,
20.85/21.03	                     app_encode_app(int,int,
20.85/21.03	                                    app_encode_app(int,
20.85/21.03	                                                   app_encode_fun(int,int),
20.85/21.03	                                                   times_times_int,K),
20.85/21.03	                                    L))))).
20.85/21.03	tff('11', plain,
20.85/21.03	    ![X158 : int, X159 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, bit0, X158)), X159)
20.85/21.03	       = app_encode_app(int, int, bit0, 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	               X158), X159)),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_138])).
20.85/21.03	tff(zf_stmt_141, axiom,
20.85/21.03	  (![Z:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,one_one_int),
20.85/21.03	                     Z) =
20.85/21.03	      Z))).
20.85/21.03	tff('12', plain,
20.85/21.03	    ![X164 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          one_one_int), X164)
20.85/21.03	       = X164,
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_141])).
20.85/21.03	tff('13', plain,
20.85/21.03	    ![X164 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, bit1, pls)), X164)
20.85/21.03	       = X164,
20.85/21.03	    inference('demod', [status(thm)], ['12', '3'])).
20.85/21.03	tff(zf_stmt_229, axiom,
20.85/21.03	  (![K:int]:
20.85/21.03	     (app_encode_app(int,int,bit0,K) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,K),
20.85/21.03	                     K)))).
20.85/21.03	tff('14', plain,
20.85/21.03	    ![X348 : int]:
20.85/21.03	      app_encode_app(int, int, bit0, X348)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X348), 
20.85/21.03	           X348),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_229])).
20.85/21.03	tff(zf_stmt_179, axiom,
20.85/21.03	  (![Z1:int,Z2:int,Z3:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,
20.85/21.03	                                    app_encode_app(int,int,
20.85/21.03	                                                   app_encode_app(int,
20.85/21.03	                                                                  app_encode_fun(
20.85/21.03	                                                                  int,int),
20.85/21.03	                                                                  plus_plus_int,
20.85/21.03	                                                                  Z1),
20.85/21.03	                                                   Z2)),
20.85/21.03	                     Z3) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,Z1),
20.85/21.03	                     app_encode_app(int,int,
20.85/21.03	                                    app_encode_app(int,
20.85/21.03	                                                   app_encode_fun(int,int),
20.85/21.03	                                                   plus_plus_int,Z2),
20.85/21.03	                                    Z3))))).
20.85/21.03	tff('15', plain,
20.85/21.03	    ![X259 : int, X260 : int, X261 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	              X259), X260)), X261)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X259), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	               X260), X261)),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_179])).
20.85/21.03	tff('16', plain,
20.85/21.03	    ![X0 : int, X1 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	          app_encode_app(int, int, bit0, X0)), X1)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	             X1)),
20.85/21.03	    inference('sup+', [status(thm)], ['14', '15'])).
20.85/21.03	tff(zf_stmt_180, axiom,
20.85/21.03	  (![X:int,Y:int,Z:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,X),
20.85/21.03	                     app_encode_app(int,int,
20.85/21.03	                                    app_encode_app(int,
20.85/21.03	                                                   app_encode_fun(int,int),
20.85/21.03	                                                   plus_plus_int,Y),
20.85/21.03	                                    Z)) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,Y),
20.85/21.03	                     app_encode_app(int,int,
20.85/21.03	                                    app_encode_app(int,
20.85/21.03	                                                   app_encode_fun(int,int),
20.85/21.03	                                                   plus_plus_int,X),
20.85/21.03	                                    Z))))).
20.85/21.03	tff('17', plain,
20.85/21.03	    ![X262 : int, X263 : int, X264 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X263), 
20.85/21.03	        app_encode_app(int, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X262), 
20.85/21.03	          X264))
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X262), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	               X263), X264)),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_180])).
20.85/21.03	tff('18', plain,
20.85/21.03	    ![X0 : int, X1 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X1), 
20.85/21.03	        app_encode_app(int, int, bit0, X0))
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X1), 
20.85/21.03	             X0)),
20.85/21.03	    inference('sup+', [status(thm)], ['14', '17'])).
20.85/21.03	tff(zf_stmt_280, axiom,
20.85/21.03	  (![K:int,L:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,
20.85/21.03	                                    app_encode_app(int,int,bit1,K)),
20.85/21.03	                     app_encode_app(int,int,bit0,L)) =
20.85/21.03	      app_encode_app(int,int,bit1,
20.85/21.03	                     app_encode_app(int,int,
20.85/21.03	                                    app_encode_app(int,
20.85/21.03	                                                   app_encode_fun(int,int),
20.85/21.03	                                                   plus_plus_int,K),
20.85/21.03	                                    L))))).
20.85/21.03	tff('19', plain,
20.85/21.03	    ![X416 : int, X417 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	          app_encode_app(int, int, bit1, X416)), 
20.85/21.03	        app_encode_app(int, int, bit0, X417))
20.85/21.03	       = app_encode_app(int, int, bit1, 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	               X416), X417)),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_280])).
20.85/21.03	tff(zf_stmt_2, axiom,
20.85/21.03	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
20.85/21.03	     ((![Z:Alpha]:
20.85/21.03	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
20.85/21.03	      (X = Y)))).
20.85/21.03	tff('20', plain,
20.85/21.03	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
20.85/21.03	      X3 : app_encode_fun(X0, X1)]:
20.85/21.03	      (X3 = X2
20.85/21.03	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
20.85/21.03	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_2])).
20.85/21.03	tff('21', plain,
20.85/21.03	    ![X0 : app_encode_fun(int, int)]:
20.85/21.03	      (sk_Z(int, int, X0, number_number_of_int)
20.85/21.03	        != app_encode_app(int, int, X0, 
20.85/21.03	             sk_Z(int, int, X0, number_number_of_int))
20.85/21.03	       | number_number_of_int = X0),
20.85/21.03	    inference('sup-', [status(thm)], ['1', '20'])).
20.85/21.03	tff('22', plain,
20.85/21.03	    (sk_Z(int, int, 
20.85/21.03	       app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	         app_encode_app(int, int, bit1, pls)), number_number_of_int)
20.85/21.03	      != sk_Z(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	             app_encode_app(int, int, bit1, pls)), number_number_of_int)
20.85/21.03	     | number_number_of_int
20.85/21.03	        = app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	            app_encode_app(int, int, bit1, pls))),
20.85/21.03	    inference('sup-', [status(thm)], ['13', '21'])).
20.85/21.03	tff('23', plain,
20.85/21.03	    number_number_of_int
20.85/21.03	     = app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	         app_encode_app(int, int, bit1, pls)),
20.85/21.03	    inference('simplify', [status(thm)], ['22'])).
20.85/21.03	tff(zf_stmt_227, axiom,
20.85/21.03	  (![K:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,pls),
20.85/21.03	                     K) =
20.85/21.03	      K))).
20.85/21.03	tff('24', plain,
20.85/21.03	    ![X345 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
20.85/21.03	        X345)
20.85/21.03	       = X345,
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_227])).
20.85/21.03	tff('25', plain,
20.85/21.03	    (sk_Z(int, int, 
20.85/21.03	       app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
20.85/21.03	       number_number_of_int)
20.85/21.03	      != sk_Z(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls), 
20.85/21.03	           number_number_of_int)
20.85/21.03	     | number_number_of_int
20.85/21.03	        = app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls)),
20.85/21.03	    inference('sup-', [status(thm)], ['24', '21'])).
20.85/21.03	tff('26', plain,
20.85/21.03	    number_number_of_int
20.85/21.03	     = app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls),
20.85/21.03	    inference('simplify', [status(thm)], ['25'])).
20.85/21.03	tff('27', plain,
20.85/21.03	    app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	      app_encode_app(int, int, bit1, pls))
20.85/21.03	     = app_encode_app(int, app_encode_fun(int, int), plus_plus_int, pls),
20.85/21.03	    inference('sup+', [status(thm)], ['23', '26'])).
20.85/21.03	tff(zf_stmt_283, axiom,
20.85/21.03	  (![K:int]:
20.85/21.03	     (app_encode_app(int,int,bit1,K) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,
20.85/21.03	                                    app_encode_app(int,int,
20.85/21.03	                                                   app_encode_app(int,
20.85/21.03	                                                                  app_encode_fun(
20.85/21.03	                                                                  int,int),
20.85/21.03	                                                                  plus_plus_int,
20.85/21.03	                                                                  one_one_int),
20.85/21.03	                                                   K)),
20.85/21.03	                     K)))).
20.85/21.03	tff('28', plain,
20.85/21.03	    ![X420 : int]:
20.85/21.03	      app_encode_app(int, int, bit1, X420)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	             app_encode_app(int, int, 
20.85/21.03	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	                 one_one_int), X420)), X420),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_283])).
20.85/21.03	tff('29', plain,
20.85/21.03	    ![X420 : int]:
20.85/21.03	      app_encode_app(int, int, bit1, X420)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X420), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	               app_encode_app(int, int, bit1, pls)), X420)),
20.85/21.03	    inference('demod', [status(thm)], ['28', '3', '10'])).
20.85/21.03	tff('30', plain,
20.85/21.03	    ![X0 : int]:
20.85/21.03	      app_encode_app(int, int, bit1, X0)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	             app_encode_app(int, int, bit1, pls))),
20.85/21.03	    inference('sup+', [status(thm)], ['10', '29'])).
20.85/21.03	tff('31', plain,
20.85/21.03	    ![X0 : int]:
20.85/21.03	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, X0))
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	             app_encode_app(int, int, 
20.85/21.03	               app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	                 app_encode_app(int, int, bit0, X0)), 
20.85/21.03	               app_encode_app(int, int, bit1, pls)))),
20.85/21.03	    inference('sup+', [status(thm)], ['30', '16'])).
20.85/21.03	tff('32', plain,
20.85/21.03	    ![X0 : int]:
20.85/21.03	      app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, X0))
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	           app_encode_app(int, int, 
20.85/21.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X0), 
20.85/21.03	             app_encode_app(int, int, bit1, X0))),
20.85/21.03	    inference('demod', [status(thm)], ['31', '16', '30'])).
20.85/21.03	tff(zf_stmt_208, axiom,
20.85/21.03	  (![K:int,L:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,
20.85/21.03	                                    app_encode_app(int,int,bit1,K)),
20.85/21.03	                     L) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    plus_plus_int,
20.85/21.03	                                    app_encode_app(int,int,bit0,
20.85/21.03	                                                   app_encode_app(int,int,
20.85/21.03	                                                                  app_encode_app(
20.85/21.03	                                                                  int,
20.85/21.03	                                                                  app_encode_fun(
20.85/21.03	                                                                  int,int),
20.85/21.03	                                                                  times_times_int,
20.85/21.03	                                                                  K),L))),
20.85/21.03	                     L)))).
20.85/21.03	tff('33', plain,
20.85/21.03	    ![X314 : int, X315 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, bit1, X314)), X315)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	             app_encode_app(int, int, bit0, 
20.85/21.03	               app_encode_app(int, int, 
20.85/21.03	                 app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                   times_times_int, X314), X315))), X315),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_208])).
20.85/21.03	tff('34', plain,
20.85/21.03	    ![X314 : int, X315 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	          app_encode_app(int, int, bit1, X314)), X315)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), plus_plus_int, X315), 
20.85/21.03	           app_encode_app(int, int, bit0, 
20.85/21.03	             app_encode_app(int, int, 
20.85/21.03	               app_encode_app(int, app_encode_fun(int, int), 
20.85/21.03	                 times_times_int, X314), X315))),
20.85/21.03	    inference('demod', [status(thm)], ['33', '10'])).
20.85/21.03	tff(zf_stmt_84, axiom,
20.85/21.03	  (![Z:int,W:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,Z),
20.85/21.03	                     W) =
20.85/21.03	      app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,W),
20.85/21.03	                     Z)))).
20.85/21.03	tff('35', plain,
20.85/21.03	    ![X36 : int, X37 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, X37), 
20.85/21.03	        X36)
20.85/21.03	       = app_encode_app(int, int, 
20.85/21.03	           app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	             X36), X37),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_84])).
20.85/21.03	tff(zf_stmt_137, axiom,
20.85/21.03	  (![W:int]:
20.85/21.03	     (app_encode_app(int,int,
20.85/21.03	                     app_encode_app(int,app_encode_fun(int,int),
20.85/21.03	                                    times_times_int,pls),
20.85/21.03	                     W) =
20.85/21.03	      pls))).
20.85/21.03	tff('36', plain,
20.85/21.03	    ![X157 : int]:
20.85/21.03	      app_encode_app(int, int, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, int), times_times_int, pls), 
20.85/21.03	        X157)
20.85/21.03	       = pls,
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_137])).
20.85/21.03	tff(zf_stmt_218, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
20.85/21.03	tff('37', plain, app_encode_app(int, int, bit0, pls) = pls,
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_218])).
20.85/21.03	tff('38', plain,
20.85/21.03	    app_encode_app(int, $o, 
20.85/21.03	      app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
20.85/21.03	        app_encode_app(int, int, 
20.85/21.03	          app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	            app_encode_app(int, int, bit1, pls)), 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), times_times_int, s), 
20.85/21.03	            s))), pls),
20.85/21.03	    inference('demod', [status(thm)],
20.85/21.03	              ['8', '9', '10', '11', '11', '13', '16', '16', '10', '18', 
20.85/21.03	               '19', '27', '13', '16', '32', '34', '27', '11', '35', '36', 
20.85/21.03	               '37', '37', '13'])).
20.85/21.03	tff(zf_stmt_747, conjecture,
20.85/21.03	  (app_encode_app(int,$o,
20.85/21.03	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
20.85/21.03	                                 app_encode_app(int,int,
20.85/21.03	                                                app_encode_app(int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               int,int),
20.85/21.03	                                                               plus_plus_int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               nat,int,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,
20.85/21.03	                                                               app_encode_fun(
20.85/21.03	                                                               nat,int),
20.85/21.03	                                                               power_power_int,
20.85/21.03	                                                               s),
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,nat,
20.85/21.03	                                                               number_number_of_nat,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit0,
20.85/21.03	                                                               app_encode_app(
20.85/21.03	                                                               int,int,bit1,
20.85/21.03	                                                               pls))))),
20.85/21.03	                                                one_one_int)),
20.85/21.03	                  zero_zero_int))).
20.85/21.03	tff(zf_stmt_0, negated_conjecture,
20.85/21.03	  (~
20.85/21.03	    app_encode_app(int,$o,
20.85/21.03	                   app_encode_app(int,app_encode_fun(int,$o),ord_less_int,
20.85/21.03	                                  app_encode_app(int,int,
20.85/21.03	                                                 app_encode_app(int,
20.85/21.03	                                                                app_encode_fun(
20.85/21.03	                                                                int,int),
20.85/21.03	                                                                plus_plus_int,
20.85/21.03	                                                                app_encode_app(
20.85/21.03	                                                                nat,int,
20.85/21.03	                                                                app_encode_app(
20.85/21.03	                                                                int,
20.85/21.03	                                                                app_encode_fun(
20.85/21.03	                                                                nat,int),
20.85/21.03	                                                                power_power_int,
20.85/21.03	                                                                s),
20.85/21.03	                                                                app_encode_app(
20.85/21.03	                                                                int,nat,
20.85/21.03	                                                                number_number_of_nat,
20.85/21.03	                                                                app_encode_app(
20.85/21.03	                                                                int,int,bit0,
20.85/21.03	                                                                app_encode_app(
20.85/21.03	                                                                int,int,bit1,
20.85/21.03	                                                                pls))))),
20.85/21.03	                                                 one_one_int)),
20.85/21.03	                   zero_zero_int))).
20.85/21.03	tff('39', plain,
20.85/21.03	    ~ app_encode_app(int, $o, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	              app_encode_app(nat, int, 
20.85/21.03	                app_encode_app(int, app_encode_fun(nat, int), 
20.85/21.03	                  power_power_int, s), 
20.85/21.03	                app_encode_app(int, nat, number_number_of_nat, 
20.85/21.03	                  app_encode_app(int, int, bit0, 
20.85/21.03	                    app_encode_app(int, int, bit1, pls))))), one_one_int)), 
20.85/21.03	        zero_zero_int),
20.85/21.03	    inference('cnf', [status(esa)], [zf_stmt_0])).
20.85/21.03	tff('40', plain,
20.85/21.03	    ~ app_encode_app(int, $o, 
20.85/21.03	        app_encode_app(int, app_encode_fun(int, $o), ord_less_int, 
20.85/21.03	          app_encode_app(int, int, 
20.85/21.03	            app_encode_app(int, app_encode_fun(int, int), plus_plus_int, 
20.85/21.03	              app_encode_app(int, int, bit1, pls)), 
20.85/21.03	            app_encode_app(int, int, 
20.85/21.03	              app_encode_app(int, app_encode_fun(int, int), times_times_int, 
20.85/21.03	                s), s))), pls),
20.85/21.03	    inference('demod', [status(thm)], ['39', '9', '3', '10', '4'])).
20.85/21.03	tff('41', plain, ~ $true, inference('sup-', [status(thm)], ['38', '40'])).
20.85/21.03	tff('42', plain, $false, inference('simplify', [status(thm)], ['41'])).
20.85/21.03	
20.85/21.03	% SZS output end Refutation
20.85/21.04	EOF
