0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n117.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 10:33:38 CST 2018
2.23/2.40	% done 1133 iterations in 2.201s
2.23/2.40	% SZS status Theorem for 'stdin'
2.23/2.40	% SZS output start Refutation
2.23/2.40	tff(zf_stmt_159, conjecture,
2.23/2.40	  (app_encode_app(int,int,
2.23/2.40	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                 times_times(int),
2.23/2.40	                                 app_encode_app(int,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               times_times(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               times_times(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),m)),
2.23/2.40	                                                               one_one(int))),
2.23/2.40	                                                app_encode_app(int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               one_one(int)),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               nat,int,
2.23/2.40	                                                               semiring_1_of_nat(
2.23/2.40	                                                               int),n)))),
2.23/2.40	                  app_encode_app(int,int,
2.23/2.40	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                                plus_plus(int),
2.23/2.40	                                                app_encode_app(nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),v),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                                 app_encode_app(nat,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),w),
2.23/2.40	                                                app_encode_app(int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls)))))) =
2.23/2.40	   app_encode_app(int,int,
2.23/2.40	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                 times_times(int),
2.23/2.40	                                 app_encode_app(int,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),x),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                                                app_encode_app(nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),y),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls)))))),
2.23/2.40	                  app_encode_app(int,int,
2.23/2.40	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                                plus_plus(int),
2.23/2.40	                                                app_encode_app(nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),v),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                                 app_encode_app(nat,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),w),
2.23/2.40	                                                app_encode_app(int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls)))))))).
2.23/2.40	tff(zf_stmt_0, negated_conjecture,
2.23/2.40	  (app_encode_app(int,int,
2.23/2.40	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                 times_times(int),
2.23/2.40	                                 app_encode_app(int,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               times_times(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               times_times(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),m)),
2.23/2.40	                                                               one_one(int))),
2.23/2.40	                                                app_encode_app(int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               one_one(int)),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               nat,int,
2.23/2.40	                                                               semiring_1_of_nat(
2.23/2.40	                                                               int),n)))),
2.23/2.40	                  app_encode_app(int,int,
2.23/2.40	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                                plus_plus(int),
2.23/2.40	                                                app_encode_app(nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),v),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                                 app_encode_app(nat,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),w),
2.23/2.40	                                                app_encode_app(int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls)))))) !=
2.23/2.40	   app_encode_app(int,int,
2.23/2.40	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                 times_times(int),
2.23/2.40	                                 app_encode_app(int,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),x),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                                                app_encode_app(nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),y),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls)))))),
2.23/2.40	                  app_encode_app(int,int,
2.23/2.40	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                                plus_plus(int),
2.23/2.40	                                                app_encode_app(nat,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),v),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                                 app_encode_app(nat,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),w),
2.23/2.40	                                                app_encode_app(int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls)))))))).
2.23/2.40	tff('0', plain,
2.23/2.40	    app_encode_app(int, int, 
2.23/2.40	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	        app_encode_app(int, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	            app_encode_app(int, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	                app_encode_app(int, int, 
2.23/2.40	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                    times_times(int), 
2.23/2.40	                    app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                      app_encode_app(int, int, bit0, 
2.23/2.40	                        app_encode_app(int, int, bit0, 
2.23/2.40	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	              one_one(int))), 
2.23/2.40	          app_encode_app(int, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	              one_one(int)), 
2.23/2.40	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.23/2.40	      app_encode_app(int, int, 
2.23/2.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	          app_encode_app(nat, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.23/2.40	              v), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit0, 
2.23/2.40	                app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	        app_encode_app(nat, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.23/2.40	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	            app_encode_app(int, int, bit0, 
2.23/2.40	              app_encode_app(int, int, bit1, pls))))))
2.23/2.40	     != app_encode_app(int, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	            app_encode_app(int, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	                app_encode_app(nat, int, 
2.23/2.40	                  app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                    power_power(int), x), 
2.23/2.40	                  app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                    app_encode_app(int, int, bit0, 
2.23/2.40	                      app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	              app_encode_app(nat, int, 
2.23/2.40	                app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                  power_power(int), y), 
2.23/2.40	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                  app_encode_app(int, int, bit0, 
2.23/2.40	                    app_encode_app(int, int, bit1, pls)))))), 
2.23/2.40	          app_encode_app(int, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	              app_encode_app(nat, int, 
2.23/2.40	                app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                  power_power(int), v), 
2.23/2.40	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                  app_encode_app(int, int, bit0, 
2.23/2.40	                    app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	            app_encode_app(nat, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                power_power(int), w), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit0, 
2.23/2.40	                  app_encode_app(int, int, bit1, pls)))))),
2.23/2.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.23/2.40	tff(zf_stmt_149, axiom, (number_ring(int))).
2.23/2.40	tff('1', plain, number_ring(int),
2.23/2.40	    inference('cnf', [status(esa)], [zf_stmt_149])).
2.23/2.40	tff(zf_stmt_55, axiom,
2.23/2.40	  (![A:$tType]:
2.23/2.40	     (number_ring(A) =>
2.23/2.40	      (app_encode_app(int,A,number_number_of(A),
2.23/2.40	                      app_encode_app(int,int,bit1,pls)) =
2.23/2.40	       one_one(A))))).
2.23/2.40	tff('2', plain,
2.23/2.40	    ![X10 : $tType]:
2.23/2.40	      (app_encode_app(int, X10, number_number_of(X10), 
2.23/2.40	         app_encode_app(int, int, bit1, pls))
2.23/2.40	        = one_one(X10)
2.23/2.40	       | ~ number_ring(X10)),
2.23/2.40	    inference('cnf', [status(esa)], [zf_stmt_55])).
2.23/2.40	tff('3', plain,
2.23/2.40	    (~ $true
2.23/2.40	     | app_encode_app(int, int, number_number_of(int), 
2.23/2.40	         app_encode_app(int, int, bit1, pls))
2.23/2.40	        = one_one(int)),
2.23/2.40	    inference('sup-', [status(thm)], ['1', '2'])).
2.23/2.40	tff('4', plain,
2.23/2.40	    app_encode_app(int, int, number_number_of(int), 
2.23/2.40	      app_encode_app(int, int, bit1, pls))
2.23/2.40	     = one_one(int),
2.23/2.40	    inference('simplify', [status(thm)], ['3'])).
2.23/2.40	tff(zf_stmt_96, axiom,
2.23/2.40	  (app_encode_app(nat,nat,
2.23/2.40	                  app_encode_app(nat,app_encode_fun(nat,nat),plus_plus(nat),
2.23/2.40	                                 one_one(nat)),
2.23/2.40	                  one_one(nat)) =
2.23/2.40	   app_encode_app(int,nat,number_number_of(nat),
2.23/2.40	                  app_encode_app(int,int,bit0,
2.23/2.40	                                 app_encode_app(int,int,bit1,pls))))).
2.23/2.40	tff('5', plain,
2.23/2.40	    app_encode_app(nat, nat, 
2.23/2.40	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	        one_one(nat)), one_one(nat))
2.23/2.40	     = app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))),
2.23/2.40	    inference('cnf', [status(esa)], [zf_stmt_96])).
2.23/2.40	tff(zf_stmt_92, axiom,
2.23/2.40	  (app_encode_app(int,nat,number_number_of(nat),
2.23/2.40	                  app_encode_app(int,int,bit1,pls)) =
2.23/2.40	   one_one(nat))).
2.23/2.40	tff('6', plain,
2.23/2.40	    app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	      app_encode_app(int, int, bit1, pls))
2.23/2.40	     = one_one(nat),
2.23/2.40	    inference('cnf', [status(esa)], [zf_stmt_92])).
2.23/2.40	tff('7', plain,
2.23/2.40	    app_encode_app(nat, nat, 
2.23/2.40	      app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	        app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	          app_encode_app(int, int, bit1, pls))), 
2.23/2.40	      app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	        app_encode_app(int, int, bit1, pls)))
2.23/2.40	     = app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	         app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))),
2.23/2.40	    inference('demod', [status(thm)], ['5', '6', '6'])).
2.23/2.40	tff('8', plain,
2.23/2.40	    app_encode_app(int, int, 
2.23/2.40	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	        app_encode_app(int, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	            app_encode_app(int, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	                app_encode_app(int, int, 
2.23/2.40	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                    times_times(int), 
2.23/2.40	                    app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                      app_encode_app(int, int, bit0, 
2.23/2.40	                        app_encode_app(int, int, bit0, 
2.23/2.40	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	              app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                app_encode_app(int, int, bit1, pls)))), 
2.23/2.40	          app_encode_app(int, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	              app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))), 
2.23/2.40	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.23/2.40	      app_encode_app(int, int, 
2.23/2.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	          app_encode_app(nat, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.23/2.40	              v), 
2.23/2.40	            app_encode_app(nat, nat, 
2.23/2.40	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                  app_encode_app(int, int, bit1, pls))), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	        app_encode_app(nat, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.23/2.40	          app_encode_app(nat, nat, 
2.23/2.40	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit1, pls))))))
2.23/2.40	     != app_encode_app(int, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	            app_encode_app(int, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	                app_encode_app(nat, int, 
2.23/2.40	                  app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                    power_power(int), x), 
2.23/2.40	                  app_encode_app(nat, nat, 
2.23/2.40	                    app_encode_app(nat, app_encode_fun(nat, nat), 
2.23/2.40	                      plus_plus(nat), 
2.23/2.40	                      app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                        app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                    app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                      app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	              app_encode_app(nat, int, 
2.23/2.40	                app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                  power_power(int), y), 
2.23/2.40	                app_encode_app(nat, nat, 
2.23/2.40	                  app_encode_app(nat, app_encode_fun(nat, nat), 
2.23/2.40	                    plus_plus(nat), 
2.23/2.40	                    app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                      app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                  app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls)))))), 
2.23/2.40	          app_encode_app(int, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	              app_encode_app(nat, int, 
2.23/2.40	                app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                  power_power(int), v), 
2.23/2.40	                app_encode_app(nat, nat, 
2.23/2.40	                  app_encode_app(nat, app_encode_fun(nat, nat), 
2.23/2.40	                    plus_plus(nat), 
2.23/2.40	                    app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                      app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                  app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	            app_encode_app(nat, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                power_power(int), w), 
2.23/2.40	              app_encode_app(nat, nat, 
2.23/2.40	                app_encode_app(nat, app_encode_fun(nat, nat), 
2.23/2.40	                  plus_plus(nat), 
2.23/2.40	                  app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                  app_encode_app(int, int, bit1, pls)))))),
2.23/2.40	    inference('demod', [status(thm)],
2.23/2.40	              ['0', '4', '4', '7', '7', '7', '7', '7', '7'])).
2.23/2.40	tff(zf_stmt_43, axiom,
2.23/2.40	  (app_encode_app(int,int,
2.23/2.40	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.23/2.40	                                 app_encode_app(nat,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               nat,int),
2.23/2.40	                                                               power_power(
2.23/2.40	                                                               int),x),
2.23/2.40	                                                app_encode_app(int,nat,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               nat),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),
2.23/2.40	                  app_encode_app(nat,int,
2.23/2.40	                                 app_encode_app(int,app_encode_fun(nat,int),
2.23/2.40	                                                power_power(int),y),
2.23/2.40	                                 app_encode_app(int,nat,
2.23/2.40	                                                number_number_of(nat),
2.23/2.40	                                                app_encode_app(int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))) =
2.23/2.40	   app_encode_app(int,int,
2.23/2.40	                  app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                 times_times(int),
2.23/2.40	                                 app_encode_app(int,int,
2.23/2.40	                                                app_encode_app(int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               plus_plus(int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,
2.23/2.40	                                                               app_encode_fun(
2.23/2.40	                                                               int,int),
2.23/2.40	                                                               times_times(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,
2.23/2.40	                                                               number_number_of(
2.23/2.40	                                                               int),
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit0,
2.23/2.40	                                                               app_encode_app(
2.23/2.40	                                                               int,int,bit1,
2.23/2.40	                                                               pls))))),m)),
2.23/2.40	                                                one_one(int))),
2.23/2.40	                  app_encode_app(int,int,
2.23/2.40	                                 app_encode_app(int,app_encode_fun(int,int),
2.23/2.40	                                                plus_plus(int),one_one(int)),
2.23/2.40	                                 app_encode_app(nat,int,
2.23/2.40	                                                semiring_1_of_nat(int),n))))).
2.23/2.40	tff('9', plain,
2.23/2.40	    app_encode_app(int, int, 
2.23/2.40	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	        app_encode_app(nat, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.23/2.40	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	            app_encode_app(int, int, bit0, 
2.23/2.40	              app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	      app_encode_app(nat, int, 
2.23/2.40	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.23/2.40	        app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.23/2.40	     = app_encode_app(int, int, 
2.23/2.40	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	           app_encode_app(int, int, 
2.23/2.40	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	               app_encode_app(int, int, 
2.23/2.40	                 app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                   times_times(int), 
2.23/2.40	                   app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                     app_encode_app(int, int, bit0, 
2.23/2.40	                       app_encode_app(int, int, bit0, 
2.23/2.40	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	             one_one(int))), 
2.23/2.40	         app_encode_app(int, int, 
2.23/2.40	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	             one_one(int)), 
2.23/2.40	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.23/2.40	    inference('cnf', [status(esa)], [zf_stmt_43])).
2.23/2.40	tff('10', plain,
2.23/2.40	    app_encode_app(int, int, 
2.23/2.40	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	        app_encode_app(nat, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.23/2.40	          app_encode_app(nat, nat, 
2.23/2.40	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	      app_encode_app(nat, int, 
2.23/2.40	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.23/2.40	        app_encode_app(nat, nat, 
2.23/2.40	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit1, pls))), 
2.23/2.40	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	            app_encode_app(int, int, bit1, pls)))))
2.23/2.40	     = app_encode_app(int, int, 
2.23/2.40	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	           app_encode_app(int, int, 
2.23/2.40	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	               app_encode_app(int, int, 
2.23/2.40	                 app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                   times_times(int), 
2.23/2.40	                   app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                     app_encode_app(int, int, bit0, 
2.23/2.40	                       app_encode_app(int, int, bit0, 
2.23/2.40	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	             one_one(int))), 
2.23/2.40	         app_encode_app(int, int, 
2.23/2.40	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	             one_one(int)), 
2.23/2.40	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.23/2.40	    inference('demod', [status(thm)], ['9', '7', '7'])).
2.23/2.40	tff('11', plain,
2.23/2.40	    app_encode_app(int, int, 
2.23/2.40	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	        app_encode_app(nat, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), x), 
2.23/2.40	          app_encode_app(nat, nat, 
2.23/2.40	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	      app_encode_app(nat, int, 
2.23/2.40	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), y), 
2.23/2.40	        app_encode_app(nat, nat, 
2.23/2.40	          app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit1, pls))), 
2.23/2.40	          app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	            app_encode_app(int, int, bit1, pls)))))
2.23/2.40	     = app_encode_app(int, int, 
2.23/2.40	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	           app_encode_app(int, int, 
2.23/2.40	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	               app_encode_app(int, int, 
2.23/2.40	                 app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                   times_times(int), 
2.23/2.40	                   app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                     app_encode_app(int, int, bit0, 
2.23/2.40	                       app_encode_app(int, int, bit0, 
2.23/2.40	                         app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	             app_encode_app(int, int, number_number_of(int), 
2.23/2.40	               app_encode_app(int, int, bit1, pls)))), 
2.23/2.40	         app_encode_app(int, int, 
2.23/2.40	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	             app_encode_app(int, int, number_number_of(int), 
2.23/2.40	               app_encode_app(int, int, bit1, pls))), 
2.23/2.40	           app_encode_app(nat, int, semiring_1_of_nat(int), n))),
2.23/2.40	    inference('demod', [status(thm)], ['10', '4', '4'])).
2.23/2.40	tff('12', plain,
2.23/2.40	    app_encode_app(int, int, 
2.23/2.40	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	        app_encode_app(int, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	            app_encode_app(int, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	                app_encode_app(int, int, 
2.23/2.40	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                    times_times(int), 
2.23/2.40	                    app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                      app_encode_app(int, int, bit0, 
2.23/2.40	                        app_encode_app(int, int, bit0, 
2.23/2.40	                          app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	              app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                app_encode_app(int, int, bit1, pls)))), 
2.23/2.40	          app_encode_app(int, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	              app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))), 
2.23/2.40	            app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.23/2.40	      app_encode_app(int, int, 
2.23/2.40	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	          app_encode_app(nat, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.23/2.40	              v), 
2.23/2.40	            app_encode_app(nat, nat, 
2.23/2.40	              app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                  app_encode_app(int, int, bit1, pls))), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	        app_encode_app(nat, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.23/2.40	          app_encode_app(nat, nat, 
2.23/2.40	            app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
2.23/2.40	              app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                app_encode_app(int, int, bit1, pls))), 
2.23/2.40	            app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	              app_encode_app(int, int, bit1, pls))))))
2.23/2.40	     != app_encode_app(int, int, 
2.23/2.40	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.23/2.40	            app_encode_app(int, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                times_times(int), 
2.23/2.40	                app_encode_app(int, int, 
2.23/2.40	                  app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                    plus_plus(int), 
2.23/2.40	                    app_encode_app(int, int, 
2.23/2.40	                      app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                        times_times(int), 
2.23/2.40	                        app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                          app_encode_app(int, int, bit0, 
2.23/2.40	                            app_encode_app(int, int, bit0, 
2.23/2.40	                              app_encode_app(int, int, bit1, pls))))), m)), 
2.23/2.40	                  app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls)))), 
2.23/2.40	              app_encode_app(int, int, 
2.23/2.40	                app_encode_app(int, app_encode_fun(int, int), 
2.23/2.40	                  plus_plus(int), 
2.23/2.40	                  app_encode_app(int, int, number_number_of(int), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                app_encode_app(nat, int, semiring_1_of_nat(int), n)))), 
2.23/2.40	          app_encode_app(int, int, 
2.23/2.40	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.23/2.40	              app_encode_app(nat, int, 
2.23/2.40	                app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                  power_power(int), v), 
2.23/2.40	                app_encode_app(nat, nat, 
2.23/2.40	                  app_encode_app(nat, app_encode_fun(nat, nat), 
2.23/2.40	                    plus_plus(nat), 
2.23/2.40	                    app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                      app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                  app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls))))), 
2.23/2.40	            app_encode_app(nat, int, 
2.23/2.40	              app_encode_app(int, app_encode_fun(nat, int), 
2.23/2.40	                power_power(int), w), 
2.23/2.40	              app_encode_app(nat, nat, 
2.23/2.40	                app_encode_app(nat, app_encode_fun(nat, nat), 
2.23/2.40	                  plus_plus(nat), 
2.23/2.40	                  app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                    app_encode_app(int, int, bit1, pls))), 
2.23/2.40	                app_encode_app(int, nat, number_number_of(nat), 
2.23/2.40	                  app_encode_app(int, int, bit1, pls)))))),
2.23/2.40	    inference('demod', [status(thm)], ['8', '11'])).
2.23/2.40	tff('13', plain, $false, inference('simplify', [status(thm)], ['12'])).
2.23/2.40	
2.23/2.40	% SZS output end Refutation
2.23/2.41	EOF
