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   : n117.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
2.23/2.42	% done 1134 iterations in 2.213s
2.23/2.42	% SZS status Theorem for 'stdin'
2.23/2.42	% SZS output start Refutation
2.23/2.42	tff(zf_stmt_160, conjecture,
2.23/2.42	  (app_encode_app(int,int,
2.23/2.42	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                 times_times(int),
2.23/2.42	                                 app_encode_app(int,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               times_times(
2.23/2.42	                                                               int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               plus_plus(int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               times_times(
2.23/2.42	                                                               int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),m)),
2.23/2.42	                                                               one_one(int))),
2.23/2.42	                                                app_encode_app(int,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               plus_plus(int),
2.23/2.42	                                                               one_one(int)),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               nat,int,
2.23/2.42	                                                               semiring_1_of_nat(
2.23/2.42	                                                               int),n)))),
2.23/2.42	                  app_encode_app(int,int,
2.23/2.42	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                                plus_plus(int),
2.23/2.42	                                                app_encode_app(nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),v),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),
2.23/2.42	                                 app_encode_app(nat,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),w),
2.23/2.42	                                                app_encode_app(int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls)))))) =
2.23/2.42	   app_encode_app(int,int,
2.23/2.42	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                 times_times(int),
2.23/2.42	                                 app_encode_app(int,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               plus_plus(int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),x),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),
2.23/2.42	                                                app_encode_app(nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),y),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls)))))),
2.23/2.42	                  app_encode_app(int,int,
2.23/2.42	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                                plus_plus(int),
2.23/2.42	                                                app_encode_app(nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),v),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),
2.23/2.42	                                 app_encode_app(nat,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),w),
2.23/2.42	                                                app_encode_app(int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls)))))))).
2.23/2.42	tff(zf_stmt_0, negated_conjecture,
2.23/2.42	  (app_encode_app(int,int,
2.23/2.42	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                 times_times(int),
2.23/2.42	                                 app_encode_app(int,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               times_times(
2.23/2.42	                                                               int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               plus_plus(int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               times_times(
2.23/2.42	                                                               int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),m)),
2.23/2.42	                                                               one_one(int))),
2.23/2.42	                                                app_encode_app(int,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               plus_plus(int),
2.23/2.42	                                                               one_one(int)),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               nat,int,
2.23/2.42	                                                               semiring_1_of_nat(
2.23/2.42	                                                               int),n)))),
2.23/2.42	                  app_encode_app(int,int,
2.23/2.42	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                                plus_plus(int),
2.23/2.42	                                                app_encode_app(nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),v),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),
2.23/2.42	                                 app_encode_app(nat,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),w),
2.23/2.42	                                                app_encode_app(int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls)))))) !=
2.23/2.42	   app_encode_app(int,int,
2.23/2.42	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                 times_times(int),
2.23/2.42	                                 app_encode_app(int,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               int,int),
2.23/2.42	                                                               plus_plus(int),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),x),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),
2.23/2.42	                                                app_encode_app(nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),y),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls)))))),
2.23/2.42	                  app_encode_app(int,int,
2.23/2.42	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.42	                                                plus_plus(int),
2.23/2.42	                                                app_encode_app(nat,int,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),v),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls))))),
2.23/2.42	                                 app_encode_app(nat,int,
2.23/2.42	                                                app_encode_app(int,
2.23/2.42	                                                               app_encode_fun(
2.23/2.42	                                                               nat,int),
2.23/2.42	                                                               power_power(
2.23/2.42	                                                               int),w),
2.23/2.42	                                                app_encode_app(int,nat,
2.23/2.42	                                                               number_number_of(
2.23/2.42	                                                               nat),
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit0,
2.23/2.42	                                                               app_encode_app(
2.23/2.42	                                                               int,int,bit1,
2.23/2.42	                                                               pls)))))))).
2.23/2.42	tff('0', plain,
2.23/2.42	    app_encode_app(int, int, 
2.23/2.42	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.42	        app_encode_app(int, int, 
2.23/2.42	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.42	            app_encode_app(int, int, 
2.23/2.42	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.42	                app_encode_app(int, int, 
2.23/2.42	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.42	                    times_times(int), 
2.23/2.42	                    app_encode_app(int, int, number_number_of(int), 
2.23/2.42	                      app_encode_app(int, int, bit0, 
2.23/2.42	                        app_encode_app(int, int, bit0, 
2.23/2.42	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.42	              one_one(int))), 
2.23/2.42	          app_encode_app(int, int, 
2.23/2.42	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.42	              one_one(int)), 
2.23/2.42	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.26/2.42	      app_encode_app(int, int, 
2.26/2.42	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	          app_encode_app(nat, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.26/2.42	              v), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit0, 
2.26/2.42	                app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	        app_encode_app(nat, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.26/2.42	          app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	            app_encode_app(int, int, bit0, 
2.26/2.42	              app_encode_app(int, int, bit1, pls))))))
2.26/2.42	     != app_encode_app(int, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	            app_encode_app(int, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	                app_encode_app(nat, int, 
2.26/2.42	                  app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                    power_power(int), x), 
2.26/2.42	                  app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                    app_encode_app(int, int, bit0, 
2.26/2.42	                      app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	              app_encode_app(nat, int, 
2.26/2.42	                app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                  power_power(int), y), 
2.26/2.42	                app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                  app_encode_app(int, int, bit0, 
2.26/2.42	                    app_encode_app(int, int, bit1, pls)))))), 
2.26/2.42	          app_encode_app(int, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	              app_encode_app(nat, int, 
2.26/2.42	                app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                  power_power(int), v), 
2.26/2.42	                app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                  app_encode_app(int, int, bit0, 
2.26/2.42	                    app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	            app_encode_app(nat, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                power_power(int), w), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit0, 
2.26/2.42	                  app_encode_app(int, int, bit1, pls)))))),
2.26/2.42	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.26/2.42	tff(zf_stmt_150, axiom, (number_ring(int))).
2.26/2.42	tff('1', plain, number_ring(int),
2.26/2.42	    inference('cnf', [status(esa)], [zf_stmt_150])).
2.26/2.42	tff(zf_stmt_56, axiom,
2.26/2.42	  (![A:$tType]:
2.26/2.42	     (number_ring(A) =>
2.26/2.42	      (app_encode_app(int,A,number_number_of(A),
2.26/2.42	                      app_encode_app(int,int,bit1,pls)) =
2.26/2.42	       one_one(A))))).
2.26/2.42	tff('2', plain,
2.26/2.42	    ![X14 : $tType]:
2.26/2.42	      (app_encode_app(int, X14, number_number_of(X14), 
2.26/2.42	         app_encode_app(int, int, bit1, pls))
2.26/2.42	        = one_one(X14)
2.26/2.42	       | ~ number_ring(X14)),
2.26/2.42	    inference('cnf', [status(esa)], [zf_stmt_56])).
2.26/2.42	tff('3', plain,
2.26/2.42	    (~ $true
2.26/2.42	     | app_encode_app(int, int, number_number_of(int), 
2.26/2.42	         app_encode_app(int, int, bit1, pls))
2.26/2.42	        = one_one(int)),
2.26/2.42	    inference('sup-', [status(thm)], ['1', '2'])).
2.26/2.42	tff('4', plain,
2.26/2.42	    app_encode_app(int, int, number_number_of(int), 
2.26/2.42	      app_encode_app(int, int, bit1, pls))
2.26/2.42	     = one_one(int),
2.26/2.42	    inference('simplify', [status(thm)], ['3'])).
2.26/2.42	tff(zf_stmt_97, axiom,
2.26/2.42	  (app_encode_app(nat,nat,
2.26/2.42	                  app_encode_app(nat,app_encode_fun(nat,nat),plus_plus(nat),
2.26/2.42	                                 one_one(nat)),
2.26/2.42	                  one_one(nat)) =
2.26/2.42	   app_encode_app(int,nat,number_number_of(nat),
2.26/2.42	                  app_encode_app(int,int,bit0,
2.26/2.42	                                 app_encode_app(int,int,bit1,pls))))).
2.26/2.42	tff('5', plain,
2.26/2.42	    app_encode_app(nat, nat, 
2.26/2.42	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	        one_one(nat)), one_one(nat))
2.26/2.42	     = app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))),
2.26/2.42	    inference('cnf', [status(esa)], [zf_stmt_97])).
2.26/2.42	tff(zf_stmt_93, axiom,
2.26/2.42	  (app_encode_app(int,nat,number_number_of(nat),
2.26/2.42	                  app_encode_app(int,int,bit1,pls)) =
2.26/2.42	   one_one(nat))).
2.26/2.42	tff('6', plain,
2.26/2.42	    app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	      app_encode_app(int, int, bit1, pls))
2.26/2.42	     = one_one(nat),
2.26/2.42	    inference('cnf', [status(esa)], [zf_stmt_93])).
2.26/2.42	tff('7', plain,
2.26/2.42	    app_encode_app(nat, nat, 
2.26/2.42	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	        app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	          app_encode_app(int, int, bit1, pls))), 
2.26/2.42	      app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	        app_encode_app(int, int, bit1, pls)))
2.26/2.42	     = app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))),
2.26/2.42	    inference('demod', [status(thm)], ['5', '6', '6'])).
2.26/2.42	tff('8', plain,
2.26/2.42	    app_encode_app(int, int, 
2.26/2.42	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	        app_encode_app(int, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	            app_encode_app(int, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	                app_encode_app(int, int, 
2.26/2.42	                  app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                    times_times(int), 
2.26/2.42	                    app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                      app_encode_app(int, int, bit0, 
2.26/2.42	                        app_encode_app(int, int, bit0, 
2.26/2.42	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.26/2.42	              app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                app_encode_app(int, int, bit1, pls)))), 
2.26/2.42	          app_encode_app(int, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	              app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))), 
2.26/2.42	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.26/2.42	      app_encode_app(int, int, 
2.26/2.42	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	          app_encode_app(nat, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.26/2.42	              v), 
2.26/2.42	            app_encode_app(nat, nat, 
2.26/2.42	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	                app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                  app_encode_app(int, int, bit1, pls))), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	        app_encode_app(nat, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.26/2.42	          app_encode_app(nat, nat, 
2.26/2.42	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit1, pls))))))
2.26/2.42	     != app_encode_app(int, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	            app_encode_app(int, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	                app_encode_app(nat, int, 
2.26/2.42	                  app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                    power_power(int), x), 
2.26/2.42	                  app_encode_app(nat, nat, 
2.26/2.42	                    app_encode_app(nat, app_encode_fun(nat, nat), 
2.26/2.42	                      plus_plus(nat), 
2.26/2.42	                      app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                        app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                    app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                      app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	              app_encode_app(nat, int, 
2.26/2.42	                app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                  power_power(int), y), 
2.26/2.42	                app_encode_app(nat, nat, 
2.26/2.42	                  app_encode_app(nat, app_encode_fun(nat, nat), 
2.26/2.42	                    plus_plus(nat), 
2.26/2.42	                    app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                      app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                  app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls)))))), 
2.26/2.42	          app_encode_app(int, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	              app_encode_app(nat, int, 
2.26/2.42	                app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                  power_power(int), v), 
2.26/2.42	                app_encode_app(nat, nat, 
2.26/2.42	                  app_encode_app(nat, app_encode_fun(nat, nat), 
2.26/2.42	                    plus_plus(nat), 
2.26/2.42	                    app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                      app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                  app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	            app_encode_app(nat, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                power_power(int), w), 
2.26/2.42	              app_encode_app(nat, nat, 
2.26/2.42	                app_encode_app(nat, app_encode_fun(nat, nat), 
2.26/2.42	                  plus_plus(nat), 
2.26/2.42	                  app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                  app_encode_app(int, int, bit1, pls)))))),
2.26/2.42	    inference('demod', [status(thm)],
2.26/2.42	              ['0', '4', '4', '7', '7', '7', '7', '7', '7'])).
2.26/2.42	tff(zf_stmt_44, axiom,
2.26/2.42	  (app_encode_app(int,int,
2.26/2.42	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.26/2.42	                                 app_encode_app(nat,int,
2.26/2.42	                                                app_encode_app(int,
2.26/2.42	                                                               app_encode_fun(
2.26/2.42	                                                               nat,int),
2.26/2.42	                                                               power_power(
2.26/2.42	                                                               int),x),
2.26/2.42	                                                app_encode_app(int,nat,
2.26/2.42	                                                               number_number_of(
2.26/2.42	                                                               nat),
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,bit0,
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,bit1,
2.26/2.42	                                                               pls))))),
2.26/2.42	                  app_encode_app(nat,int,
2.26/2.42	                                 app_encode_app(int,app_encode_fun(nat,int),
2.26/2.42	                                                power_power(int),y),
2.26/2.42	                                 app_encode_app(int,nat,
2.26/2.42	                                                number_number_of(nat),
2.26/2.42	                                                app_encode_app(int,int,bit0,
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,bit1,
2.26/2.42	                                                               pls))))) =
2.26/2.42	   app_encode_app(int,int,
2.26/2.42	                  app_encode_app(int,app_encode_fun(int,int),
2.26/2.42	                                 times_times(int),
2.26/2.42	                                 app_encode_app(int,int,
2.26/2.42	                                                app_encode_app(int,
2.26/2.42	                                                               app_encode_fun(
2.26/2.42	                                                               int,int),
2.26/2.42	                                                               plus_plus(int),
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,
2.26/2.42	                                                               app_encode_fun(
2.26/2.42	                                                               int,int),
2.26/2.42	                                                               times_times(
2.26/2.42	                                                               int),
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,
2.26/2.42	                                                               number_number_of(
2.26/2.42	                                                               int),
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,bit0,
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,bit0,
2.26/2.42	                                                               app_encode_app(
2.26/2.42	                                                               int,int,bit1,
2.26/2.42	                                                               pls))))),m)),
2.26/2.42	                                                one_one(int))),
2.26/2.42	                  app_encode_app(int,int,
2.26/2.42	                                 app_encode_app(int,app_encode_fun(int,int),
2.26/2.42	                                                plus_plus(int),one_one(int)),
2.26/2.42	                                 app_encode_app(nat,int,
2.26/2.42	                                                semiring_1_of_nat(int),n))))).
2.26/2.42	tff('9', plain,
2.26/2.42	    app_encode_app(int, int, 
2.26/2.42	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	        app_encode_app(nat, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.26/2.42	          app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	            app_encode_app(int, int, bit0, 
2.26/2.42	              app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	      app_encode_app(nat, int, 
2.26/2.42	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.26/2.42	        app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.26/2.42	     = app_encode_app(int, int, 
2.26/2.42	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	           app_encode_app(int, int, 
2.26/2.42	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	               app_encode_app(int, int, 
2.26/2.42	                 app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                   times_times(int), 
2.26/2.42	                   app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                     app_encode_app(int, int, bit0, 
2.26/2.42	                       app_encode_app(int, int, bit0, 
2.26/2.42	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.26/2.42	             one_one(int))), 
2.26/2.42	         app_encode_app(int, int, 
2.26/2.42	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	             one_one(int)), 
2.26/2.42	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.26/2.42	    inference('cnf', [status(esa)], [zf_stmt_44])).
2.26/2.42	tff('10', plain,
2.26/2.42	    app_encode_app(int, int, 
2.26/2.42	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	        app_encode_app(nat, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.26/2.42	          app_encode_app(nat, nat, 
2.26/2.42	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	      app_encode_app(nat, int, 
2.26/2.42	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.26/2.42	        app_encode_app(nat, nat, 
2.26/2.42	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit1, pls))), 
2.26/2.42	          app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	            app_encode_app(int, int, bit1, pls)))))
2.26/2.42	     = app_encode_app(int, int, 
2.26/2.42	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	           app_encode_app(int, int, 
2.26/2.42	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	               app_encode_app(int, int, 
2.26/2.42	                 app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                   times_times(int), 
2.26/2.42	                   app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                     app_encode_app(int, int, bit0, 
2.26/2.42	                       app_encode_app(int, int, bit0, 
2.26/2.42	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.26/2.42	             one_one(int))), 
2.26/2.42	         app_encode_app(int, int, 
2.26/2.42	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	             one_one(int)), 
2.26/2.42	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.26/2.42	    inference('demod', [status(thm)], ['9', '7', '7'])).
2.26/2.42	tff('11', plain,
2.26/2.42	    app_encode_app(int, int, 
2.26/2.42	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	        app_encode_app(nat, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.26/2.42	          app_encode_app(nat, nat, 
2.26/2.42	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	      app_encode_app(nat, int, 
2.26/2.42	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.26/2.42	        app_encode_app(nat, nat, 
2.26/2.42	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit1, pls))), 
2.26/2.42	          app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	            app_encode_app(int, int, bit1, pls)))))
2.26/2.42	     = app_encode_app(int, int, 
2.26/2.42	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	           app_encode_app(int, int, 
2.26/2.42	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	               app_encode_app(int, int, 
2.26/2.42	                 app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                   times_times(int), 
2.26/2.42	                   app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                     app_encode_app(int, int, bit0, 
2.26/2.42	                       app_encode_app(int, int, bit0, 
2.26/2.42	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.26/2.42	             app_encode_app(int, int, number_number_of(int), 
2.26/2.42	               app_encode_app(int, int, bit1, pls)))), 
2.26/2.42	         app_encode_app(int, int, 
2.26/2.42	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	             app_encode_app(int, int, number_number_of(int), 
2.26/2.42	               app_encode_app(int, int, bit1, pls))), 
2.26/2.42	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.26/2.42	    inference('demod', [status(thm)], ['10', '4', '4'])).
2.26/2.42	tff('12', plain,
2.26/2.42	    app_encode_app(int, int, 
2.26/2.42	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	        app_encode_app(int, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	            app_encode_app(int, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	                app_encode_app(int, int, 
2.26/2.42	                  app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                    times_times(int), 
2.26/2.42	                    app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                      app_encode_app(int, int, bit0, 
2.26/2.42	                        app_encode_app(int, int, bit0, 
2.26/2.42	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.26/2.42	              app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                app_encode_app(int, int, bit1, pls)))), 
2.26/2.42	          app_encode_app(int, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	              app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))), 
2.26/2.42	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.26/2.42	      app_encode_app(int, int, 
2.26/2.42	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	          app_encode_app(nat, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.26/2.42	              v), 
2.26/2.42	            app_encode_app(nat, nat, 
2.26/2.42	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	                app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                  app_encode_app(int, int, bit1, pls))), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	        app_encode_app(nat, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.26/2.42	          app_encode_app(nat, nat, 
2.26/2.42	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.26/2.42	              app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                app_encode_app(int, int, bit1, pls))), 
2.26/2.42	            app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	              app_encode_app(int, int, bit1, pls))))))
2.26/2.42	     != app_encode_app(int, int, 
2.26/2.42	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.26/2.42	            app_encode_app(int, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                times_times(int), 
2.26/2.42	                app_encode_app(int, int, 
2.26/2.42	                  app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                    plus_plus(int), 
2.26/2.42	                    app_encode_app(int, int, 
2.26/2.42	                      app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                        times_times(int), 
2.26/2.42	                        app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                          app_encode_app(int, int, bit0, 
2.26/2.42	                            app_encode_app(int, int, bit0, 
2.26/2.42	                              app_encode_app(int, int, bit1, pls))))), m)), 
2.26/2.42	                  app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls)))), 
2.26/2.42	              app_encode_app(int, int, 
2.26/2.42	                app_encode_app(int, app_encode_fun(int, int), 
2.26/2.42	                  plus_plus(int), 
2.26/2.42	                  app_encode_app(int, int, number_number_of(int), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.26/2.42	          app_encode_app(int, int, 
2.26/2.42	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.26/2.42	              app_encode_app(nat, int, 
2.26/2.42	                app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                  power_power(int), v), 
2.26/2.42	                app_encode_app(nat, nat, 
2.26/2.42	                  app_encode_app(nat, app_encode_fun(nat, nat), 
2.26/2.42	                    plus_plus(nat), 
2.26/2.42	                    app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                      app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                  app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls))))), 
2.26/2.42	            app_encode_app(nat, int, 
2.26/2.42	              app_encode_app(int, app_encode_fun(nat, int), 
2.26/2.42	                power_power(int), w), 
2.26/2.42	              app_encode_app(nat, nat, 
2.26/2.42	                app_encode_app(nat, app_encode_fun(nat, nat), 
2.26/2.42	                  plus_plus(nat), 
2.26/2.42	                  app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                    app_encode_app(int, int, bit1, pls))), 
2.26/2.42	                app_encode_app(int, nat, number_number_of(nat), 
2.26/2.42	                  app_encode_app(int, int, bit1, pls)))))),
2.26/2.42	    inference('demod', [status(thm)], ['8', '11'])).
2.26/2.42	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
2.26/2.42	
2.26/2.42	% SZS output end Refutation
2.26/2.42	EOF
