0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
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   : n031.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 10:33:38 CST 2018
2.73/2.94	% done 1056 iterations in 2.733s
2.73/2.94	% SZS status Theorem for 'stdin'
2.73/2.94	% SZS output start Refutation
2.73/2.94	tff(zf_stmt_160, conjecture,
2.73/2.94	  (app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                 times_times(int),
2.73/2.94	                                 app_encode_app(int,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               times_times(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               times_times(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),m)),
2.73/2.94	                                                               one_one(int))),
2.73/2.94	                                                app_encode_app(int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               one_one(int)),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               nat,int,
2.73/2.94	                                                               semiring_1_of_nat(
2.73/2.94	                                                               int),n)))),
2.73/2.94	                  app_encode_app(int,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                                plus_plus(int),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),v),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),w),
2.73/2.94	                                                app_encode_app(int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls)))))) =
2.73/2.94	   app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                 times_times(int),
2.73/2.94	                                 app_encode_app(int,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),x),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),y),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls)))))),
2.73/2.94	                  app_encode_app(int,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                                plus_plus(int),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),v),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),w),
2.73/2.94	                                                app_encode_app(int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls)))))))).
2.73/2.94	tff(zf_stmt_0, negated_conjecture,
2.73/2.94	  (app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                 times_times(int),
2.73/2.94	                                 app_encode_app(int,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               times_times(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               times_times(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),m)),
2.73/2.94	                                                               one_one(int))),
2.73/2.94	                                                app_encode_app(int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               one_one(int)),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               nat,int,
2.73/2.94	                                                               semiring_1_of_nat(
2.73/2.94	                                                               int),n)))),
2.73/2.94	                  app_encode_app(int,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                                plus_plus(int),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),v),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),w),
2.73/2.94	                                                app_encode_app(int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls)))))) !=
2.73/2.94	   app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                 times_times(int),
2.73/2.94	                                 app_encode_app(int,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),x),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),y),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls)))))),
2.73/2.94	                  app_encode_app(int,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                                plus_plus(int),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),v),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),w),
2.73/2.94	                                                app_encode_app(int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls)))))))).
2.73/2.94	tff('0', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	        app_encode_app(int, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	            app_encode_app(int, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	                app_encode_app(int, int, 
2.73/2.94	                  app_encode_app(int, app_encode_fun(int, int), 
2.73/2.94	                    times_times(int), 
2.73/2.94	                    app_encode_app(int, int, number_number_of(int), 
2.73/2.94	                      app_encode_app(int, int, bit0, 
2.73/2.94	                        app_encode_app(int, int, bit0, 
2.73/2.94	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.73/2.94	              one_one(int))), 
2.73/2.94	          app_encode_app(int, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	              one_one(int)), 
2.73/2.94	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.73/2.94	      app_encode_app(int, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	          app_encode_app(nat, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	              v), 
2.73/2.94	            app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	              app_encode_app(int, int, bit0, 
2.73/2.94	                app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	        app_encode_app(nat, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.73/2.94	          app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	            app_encode_app(int, int, bit0, 
2.73/2.94	              app_encode_app(int, int, bit1, pls))))))
2.73/2.94	     != app_encode_app(int, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	            app_encode_app(int, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	                app_encode_app(nat, int, 
2.73/2.94	                  app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                    power_power(int), x), 
2.73/2.94	                  app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                    app_encode_app(int, int, bit0, 
2.73/2.94	                      app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	              app_encode_app(nat, int, 
2.73/2.94	                app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                  power_power(int), y), 
2.73/2.94	                app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                  app_encode_app(int, int, bit0, 
2.73/2.94	                    app_encode_app(int, int, bit1, pls)))))), 
2.73/2.94	          app_encode_app(int, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	              app_encode_app(nat, int, 
2.73/2.94	                app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                  power_power(int), v), 
2.73/2.94	                app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                  app_encode_app(int, int, bit0, 
2.73/2.94	                    app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	            app_encode_app(nat, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                power_power(int), w), 
2.73/2.94	              app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                app_encode_app(int, int, bit0, 
2.73/2.94	                  app_encode_app(int, int, bit1, pls)))))),
2.73/2.94	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.73/2.94	tff(zf_stmt_45, axiom,
2.73/2.94	  (~
2.73/2.94	    (![X1:int,Y1:int]:
2.73/2.94	       (app_encode_app(int,int,
2.73/2.94	                       app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                      plus_plus(int),
2.73/2.94	                                      app_encode_app(nat,int,
2.73/2.94	                                                     app_encode_app(int,
2.73/2.94	                                                                    app_encode_fun(
2.73/2.94	                                                                    nat,int),
2.73/2.94	                                                                    power_power(
2.73/2.94	                                                                    int),X1),
2.73/2.94	                                                     app_encode_app(int,nat,
2.73/2.94	                                                                    number_number_of(
2.73/2.94	                                                                    nat),
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    bit0,
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    bit1,pls))))),
2.73/2.94	                       app_encode_app(nat,int,
2.73/2.94	                                      app_encode_app(int,
2.73/2.94	                                                     app_encode_fun(nat,int),
2.73/2.94	                                                     power_power(int),Y1),
2.73/2.94	                                      app_encode_app(int,nat,
2.73/2.94	                                                     number_number_of(nat),
2.73/2.94	                                                     app_encode_app(int,int,
2.73/2.94	                                                                    bit0,
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    bit1,pls))))) !=
2.73/2.94	        app_encode_app(int,int,
2.73/2.94	                       app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                      times_times(int),
2.73/2.94	                                      app_encode_app(int,int,
2.73/2.94	                                                     app_encode_app(int,
2.73/2.94	                                                                    app_encode_fun(
2.73/2.94	                                                                    int,int),
2.73/2.94	                                                                    plus_plus(
2.73/2.94	                                                                    int),
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,
2.73/2.94	                                                                    app_encode_fun(
2.73/2.94	                                                                    int,int),
2.73/2.94	                                                                    times_times(
2.73/2.94	                                                                    int),
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    number_number_of(
2.73/2.94	                                                                    int),
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    bit0,
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    bit0,
2.73/2.94	                                                                    app_encode_app(
2.73/2.94	                                                                    int,int,
2.73/2.94	                                                                    bit1,pls))))),
2.73/2.94	                                                                    m)),
2.73/2.94	                                                     one_one(int))),
2.73/2.94	                       app_encode_app(int,int,
2.73/2.94	                                      app_encode_app(int,
2.73/2.94	                                                     app_encode_fun(int,int),
2.73/2.94	                                                     plus_plus(int),
2.73/2.94	                                                     one_one(int)),
2.73/2.94	                                      app_encode_app(nat,int,
2.73/2.94	                                                     semiring_1_of_nat(int),n))))))).
2.73/2.94	tff('1', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	        app_encode_app(nat, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	            sk_X1), 
2.73/2.94	          app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	            app_encode_app(int, int, bit0, 
2.73/2.94	              app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	      app_encode_app(nat, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	          sk_Y1), 
2.73/2.94	        app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.73/2.94	     = app_encode_app(int, int, 
2.73/2.94	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	           app_encode_app(int, int, 
2.73/2.94	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	               app_encode_app(int, int, 
2.73/2.94	                 app_encode_app(int, app_encode_fun(int, int), 
2.73/2.94	                   times_times(int), 
2.73/2.94	                   app_encode_app(int, int, number_number_of(int), 
2.73/2.94	                     app_encode_app(int, int, bit0, 
2.73/2.94	                       app_encode_app(int, int, bit0, 
2.73/2.94	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.73/2.94	             one_one(int))), 
2.73/2.94	         app_encode_app(int, int, 
2.73/2.94	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	             one_one(int)), 
2.73/2.94	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.73/2.94	    inference('cnf', [status(esa)], [zf_stmt_45])).
2.73/2.94	tff(zf_stmt_43, axiom,
2.73/2.94	  (app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),v),
2.73/2.94	                                                app_encode_app(int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                  app_encode_app(nat,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(nat,int),
2.73/2.94	                                                power_power(int),w),
2.73/2.94	                                 app_encode_app(int,nat,
2.73/2.94	                                                number_number_of(nat),
2.73/2.94	                                                app_encode_app(int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))) =
2.73/2.94	   app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                 times_times(int),
2.73/2.94	                                 app_encode_app(int,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               one_one(int)),
2.73/2.94	                                                app_encode_app(nat,int,
2.73/2.94	                                                               semiring_1_of_nat(
2.73/2.94	                                                               int),n))),
2.73/2.94	                  m1))).
2.73/2.94	tff('2', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	        app_encode_app(nat, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.73/2.94	          app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	            app_encode_app(int, int, bit0, 
2.73/2.94	              app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	      app_encode_app(nat, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.73/2.94	        app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.73/2.94	     = app_encode_app(int, int, 
2.73/2.94	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	           app_encode_app(int, int, 
2.73/2.94	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	               one_one(int)), 
2.73/2.94	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
2.73/2.94	    inference('cnf', [status(esa)], [zf_stmt_43])).
2.73/2.94	tff('3', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	        app_encode_app(int, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	            app_encode_app(nat, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                power_power(int), sk_X1), 
2.73/2.94	              app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                app_encode_app(int, int, bit0, 
2.73/2.94	                  app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	          app_encode_app(nat, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	              sk_Y1), 
2.73/2.94	            app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	              app_encode_app(int, int, bit0, 
2.73/2.94	                app_encode_app(int, int, bit1, pls)))))), 
2.73/2.94	      app_encode_app(int, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	          app_encode_app(int, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	              one_one(int)), 
2.73/2.94	            app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1))
2.73/2.94	     != app_encode_app(int, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	            app_encode_app(int, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	                app_encode_app(nat, int, 
2.73/2.94	                  app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                    power_power(int), x), 
2.73/2.94	                  app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                    app_encode_app(int, int, bit0, 
2.73/2.94	                      app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	              app_encode_app(nat, int, 
2.73/2.94	                app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                  power_power(int), y), 
2.73/2.94	                app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                  app_encode_app(int, int, bit0, 
2.73/2.94	                    app_encode_app(int, int, bit1, pls)))))), 
2.73/2.94	          app_encode_app(int, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	              app_encode_app(int, int, 
2.73/2.94	                app_encode_app(int, app_encode_fun(int, int), 
2.73/2.94	                  plus_plus(int), one_one(int)), 
2.73/2.94	                app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)),
2.73/2.94	    inference('demod', [status(thm)], ['0', '1', '2', '2'])).
2.73/2.94	tff(zf_stmt_44, axiom,
2.73/2.94	  (app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               nat,int),
2.73/2.94	                                                               power_power(
2.73/2.94	                                                               int),x),
2.73/2.94	                                                app_encode_app(int,nat,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               nat),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),
2.73/2.94	                  app_encode_app(nat,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(nat,int),
2.73/2.94	                                                power_power(int),y),
2.73/2.94	                                 app_encode_app(int,nat,
2.73/2.94	                                                number_number_of(nat),
2.73/2.94	                                                app_encode_app(int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))) =
2.73/2.94	   app_encode_app(int,int,
2.73/2.94	                  app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                 times_times(int),
2.73/2.94	                                 app_encode_app(int,int,
2.73/2.94	                                                app_encode_app(int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               plus_plus(int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,
2.73/2.94	                                                               app_encode_fun(
2.73/2.94	                                                               int,int),
2.73/2.94	                                                               times_times(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,
2.73/2.94	                                                               number_number_of(
2.73/2.94	                                                               int),
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit0,
2.73/2.94	                                                               app_encode_app(
2.73/2.94	                                                               int,int,bit1,
2.73/2.94	                                                               pls))))),m)),
2.73/2.94	                                                one_one(int))),
2.73/2.94	                  app_encode_app(int,int,
2.73/2.94	                                 app_encode_app(int,app_encode_fun(int,int),
2.73/2.94	                                                plus_plus(int),one_one(int)),
2.73/2.94	                                 app_encode_app(nat,int,
2.73/2.94	                                                semiring_1_of_nat(int),n))))).
2.73/2.94	tff('4', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	        app_encode_app(nat, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.73/2.94	          app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	            app_encode_app(int, int, bit0, 
2.73/2.94	              app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	      app_encode_app(nat, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.73/2.94	        app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.73/2.94	     = app_encode_app(int, int, 
2.73/2.94	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	           app_encode_app(int, int, 
2.73/2.94	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	               app_encode_app(int, int, 
2.73/2.94	                 app_encode_app(int, app_encode_fun(int, int), 
2.73/2.94	                   times_times(int), 
2.73/2.94	                   app_encode_app(int, int, number_number_of(int), 
2.73/2.94	                     app_encode_app(int, int, bit0, 
2.73/2.94	                       app_encode_app(int, int, bit0, 
2.73/2.94	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.73/2.94	             one_one(int))), 
2.73/2.94	         app_encode_app(int, int, 
2.73/2.94	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	             one_one(int)), 
2.73/2.94	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.73/2.94	    inference('cnf', [status(esa)], [zf_stmt_44])).
2.73/2.94	tff('5', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	        app_encode_app(nat, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	            sk_X1), 
2.73/2.94	          app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	            app_encode_app(int, int, bit0, 
2.73/2.94	              app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	      app_encode_app(nat, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	          sk_Y1), 
2.73/2.94	        app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.73/2.94	     = app_encode_app(int, int, 
2.73/2.94	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	           app_encode_app(nat, int, 
2.73/2.94	             app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	               x), 
2.73/2.94	             app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	               app_encode_app(int, int, bit0, 
2.73/2.94	                 app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	         app_encode_app(nat, int, 
2.73/2.94	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.73/2.94	           app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	             app_encode_app(int, int, bit0, 
2.73/2.94	               app_encode_app(int, int, bit1, pls))))),
2.73/2.94	    inference('sup+', [status(thm)], ['4', '1'])).
2.73/2.94	tff('6', plain,
2.73/2.94	    app_encode_app(int, int, 
2.73/2.94	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	        app_encode_app(int, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	            app_encode_app(nat, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                power_power(int), x), 
2.73/2.94	              app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                app_encode_app(int, int, bit0, 
2.73/2.94	                  app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	          app_encode_app(nat, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.73/2.94	              y), 
2.73/2.94	            app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	              app_encode_app(int, int, bit0, 
2.73/2.94	                app_encode_app(int, int, bit1, pls)))))), 
2.73/2.94	      app_encode_app(int, int, 
2.73/2.94	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	          app_encode_app(int, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	              one_one(int)), 
2.73/2.94	            app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1))
2.73/2.94	     != app_encode_app(int, int, 
2.73/2.94	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	            app_encode_app(int, int, 
2.73/2.94	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.73/2.94	                app_encode_app(nat, int, 
2.73/2.94	                  app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                    power_power(int), x), 
2.73/2.94	                  app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                    app_encode_app(int, int, bit0, 
2.73/2.94	                      app_encode_app(int, int, bit1, pls))))), 
2.73/2.94	              app_encode_app(nat, int, 
2.73/2.94	                app_encode_app(int, app_encode_fun(nat, int), 
2.73/2.94	                  power_power(int), y), 
2.73/2.94	                app_encode_app(int, nat, number_number_of(nat), 
2.73/2.94	                  app_encode_app(int, int, bit0, 
2.73/2.94	                    app_encode_app(int, int, bit1, pls)))))), 
2.73/2.94	          app_encode_app(int, int, 
2.73/2.94	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.73/2.94	              app_encode_app(int, int, 
2.73/2.94	                app_encode_app(int, app_encode_fun(int, int), 
2.73/2.94	                  plus_plus(int), one_one(int)), 
2.73/2.94	                app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)),
2.73/2.94	    inference('demod', [status(thm)], ['3', '5'])).
2.73/2.94	tff('7', plain, $false, inference('simplify', [status(thm)], ['6'])).
2.73/2.94	
2.73/2.94	% SZS output end Refutation
2.73/2.94	EOF
