0.00/0.00	% File    : /export/starexec/sandbox2/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   : n087.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:55:08 CST 2018
239.92/240.13	% done 2232 iterations in 239.927s
239.92/240.13	% SZS status Theorem for 'stdin'
239.92/240.13	% SZS output start Refutation
239.92/240.14	tff(zf_stmt_161, conjecture,
239.92/240.14	  (app_encode_app(nat,int,
239.92/240.14	                  app_encode_app(int,app_encode_fun(nat,int),
239.92/240.14	                                 power_power(int),
239.92/240.14	                                 app_encode_app(int,int,
239.92/240.14	                                                app_encode_app(int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               minus_minus(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                one_one(int))),
239.92/240.14	                  app_encode_app(int,nat,number_number_of(nat),
239.92/240.14	                                 app_encode_app(int,int,bit0,
239.92/240.14	                                                app_encode_app(int,int,bit1,
239.92/240.14	                                                               pls)))) =
239.92/240.14	   app_encode_app(int,int,
239.92/240.14	                  app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                 minus_minus(int),
239.92/240.14	                                 app_encode_app(int,int,
239.92/240.14	                                                app_encode_app(int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                app_encode_app(int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               minus_minus(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                               one_one(int)))),
239.92/240.14	                  app_encode_app(int,int,
239.92/240.14	                                 app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                                times_times(int),one_one(int)),
239.92/240.14	                                 app_encode_app(int,int,
239.92/240.14	                                                app_encode_app(int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               minus_minus(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                one_one(int)))))).
239.92/240.14	tff(zf_stmt_0, negated_conjecture,
239.92/240.14	  (app_encode_app(nat,int,
239.92/240.14	                  app_encode_app(int,app_encode_fun(nat,int),
239.92/240.14	                                 power_power(int),
239.92/240.14	                                 app_encode_app(int,int,
239.92/240.14	                                                app_encode_app(int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               minus_minus(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                one_one(int))),
239.92/240.14	                  app_encode_app(int,nat,number_number_of(nat),
239.92/240.14	                                 app_encode_app(int,int,bit0,
239.92/240.14	                                                app_encode_app(int,int,bit1,
239.92/240.14	                                                               pls)))) !=
239.92/240.14	   app_encode_app(int,int,
239.92/240.14	                  app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                 minus_minus(int),
239.92/240.14	                                 app_encode_app(int,int,
239.92/240.14	                                                app_encode_app(int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                app_encode_app(int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               minus_minus(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                               one_one(int)))),
239.92/240.14	                  app_encode_app(int,int,
239.92/240.14	                                 app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                                times_times(int),one_one(int)),
239.92/240.14	                                 app_encode_app(int,int,
239.92/240.14	                                                app_encode_app(int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               minus_minus(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               plus_plus(int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,
239.92/240.14	                                                               app_encode_fun(
239.92/240.14	                                                               int,int),
239.92/240.14	                                                               times_times(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,
239.92/240.14	                                                               number_number_of(
239.92/240.14	                                                               int),
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit0,
239.92/240.14	                                                               app_encode_app(
239.92/240.14	                                                               int,int,bit1,
239.92/240.14	                                                               pls))))),m)),
239.92/240.14	                                                               one_one(int))),
239.92/240.14	                                                one_one(int)))))).
239.92/240.14	tff('0', plain,
239.92/240.14	    app_encode_app(nat, int, 
239.92/240.14	      app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    times_times(int), 
239.92/240.14	                    app_encode_app(int, int, number_number_of(int), 
239.92/240.14	                      app_encode_app(int, int, bit0, 
239.92/240.14	                        app_encode_app(int, int, bit0, 
239.92/240.14	                          app_encode_app(int, int, bit1, pls))))), m)), 
239.92/240.14	              one_one(int))), one_one(int))), 
239.92/240.14	      app_encode_app(int, nat, number_number_of(nat), 
239.92/240.14	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
239.92/240.14	     != app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                times_times(int), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    plus_plus(int), 
239.92/240.14	                    app_encode_app(int, int, 
239.92/240.14	                      app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                        times_times(int), 
239.92/240.14	                        app_encode_app(int, int, number_number_of(int), 
239.92/240.14	                          app_encode_app(int, int, bit0, 
239.92/240.14	                            app_encode_app(int, int, bit0, 
239.92/240.14	                              app_encode_app(int, int, bit1, pls))))), m)), 
239.92/240.14	                  one_one(int))), 
239.92/240.14	              app_encode_app(int, int, 
239.92/240.14	                app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                  minus_minus(int), 
239.92/240.14	                  app_encode_app(int, int, 
239.92/240.14	                    app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                      plus_plus(int), 
239.92/240.14	                      app_encode_app(int, int, 
239.92/240.14	                        app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                          times_times(int), 
239.92/240.14	                          app_encode_app(int, int, number_number_of(int), 
239.92/240.14	                            app_encode_app(int, int, bit0, 
239.92/240.14	                              app_encode_app(int, int, bit0, 
239.92/240.14	                                app_encode_app(int, int, bit1, pls))))), m)), 
239.92/240.14	                    one_one(int))), one_one(int)))), 
239.92/240.14	          app_encode_app(int, int, 
239.92/240.14	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	              one_one(int)), 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                minus_minus(int), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    plus_plus(int), 
239.92/240.14	                    app_encode_app(int, int, 
239.92/240.14	                      app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                        times_times(int), 
239.92/240.14	                        app_encode_app(int, int, number_number_of(int), 
239.92/240.14	                          app_encode_app(int, int, bit0, 
239.92/240.14	                            app_encode_app(int, int, bit0, 
239.92/240.14	                              app_encode_app(int, int, bit1, pls))))), m)), 
239.92/240.14	                  one_one(int))), one_one(int)))),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
239.92/240.14	tff(zf_stmt_83, axiom,
239.92/240.14	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
239.92/240.14	tff('1', plain,
239.92/240.14	    ![X101 : int]:
239.92/240.14	      app_encode_app(int, int, number_number_of(int), X101) = X101,
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_83])).
239.92/240.14	tff(zf_stmt_59, axiom,
239.92/240.14	  (![L1:int,K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),
239.92/240.14	                                    app_encode_app(int,int,bit0,K1)),
239.92/240.14	                     L1) =
239.92/240.14	      app_encode_app(int,int,bit0,
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   times_times(int),K1),
239.92/240.14	                                    L1))))).
239.92/240.14	tff('2', plain,
239.92/240.14	    ![X47 : int, X48 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit0, X47)), X48)
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               X47), X48)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_59])).
239.92/240.14	tff(zf_stmt_58, axiom,
239.92/240.14	  (![W:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),pls),
239.92/240.14	                     W) =
239.92/240.14	      pls))).
239.92/240.14	tff('3', plain,
239.92/240.14	    ![X46 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
239.92/240.14	        X46)
239.92/240.14	       = pls,
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_58])).
239.92/240.14	tff(zf_stmt_41, axiom,
239.92/240.14	  (![L1:int,K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),
239.92/240.14	                                    app_encode_app(int,int,bit1,K1)),
239.92/240.14	                     L1) =
239.92/240.14	      app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),
239.92/240.14	                                    app_encode_app(int,int,bit0,
239.92/240.14	                                                   app_encode_app(int,int,
239.92/240.14	                                                                  app_encode_app(
239.92/240.14	                                                                  int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  times_times(
239.92/240.14	                                                                  int),K1),L1))),
239.92/240.14	                     L1)))).
239.92/240.14	tff('4', plain,
239.92/240.14	    ![X12 : int, X13 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, X12)), X13)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, bit0, 
239.92/240.14	               app_encode_app(int, int, 
239.92/240.14	                 app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                   times_times(int), X12), X13))), X13),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_41])).
239.92/240.14	tff('5', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, pls)), X0)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, bit0, pls)), X0),
239.92/240.14	    inference('sup+', [status(thm)], ['3', '4'])).
239.92/240.14	tff(zf_stmt_57, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
239.92/240.14	tff('6', plain, app_encode_app(int, int, bit0, pls) = pls,
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_57])).
239.92/240.14	tff('7', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, pls)), X0)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
239.92/240.14	           X0),
239.92/240.14	    inference('demod', [status(thm)], ['5', '6'])).
239.92/240.14	tff(zf_stmt_86, axiom,
239.92/240.14	  (![K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),pls),
239.92/240.14	                     K1) =
239.92/240.14	      K1))).
239.92/240.14	tff('8', plain,
239.92/240.14	    ![X106 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
239.92/240.14	        X106)
239.92/240.14	       = X106,
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_86])).
239.92/240.14	tff('9', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, pls)), X0)
239.92/240.14	       = X0,
239.92/240.14	    inference('sup+', [status(thm)], ['7', '8'])).
239.92/240.14	tff(zf_stmt_2, axiom,
239.92/240.14	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
239.92/240.14	     ((![Z:Alpha]:
239.92/240.14	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
239.92/240.14	      (X = Y)))).
239.92/240.14	tff('10', plain,
239.92/240.14	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
239.92/240.14	      X3 : app_encode_fun(X0, X1)]:
239.92/240.14	      (X3 = X2
239.92/240.14	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
239.92/240.14	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_2])).
239.92/240.14	tff('11', plain,
239.92/240.14	    ![X0 : app_encode_fun(int, int)]:
239.92/240.14	      (app_encode_app(int, int, X0, 
239.92/240.14	         sk_Z(int, int, number_number_of(int), X0))
239.92/240.14	        != sk_Z(int, int, number_number_of(int), X0)
239.92/240.14	       | X0 = number_number_of(int)),
239.92/240.14	    inference('sup-', [status(thm)], ['1', '10'])).
239.92/240.14	tff('12', plain,
239.92/240.14	    (sk_Z(int, int, number_number_of(int), 
239.92/240.14	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	         app_encode_app(int, int, bit1, pls)))
239.92/240.14	      != sk_Z(int, int, number_number_of(int), 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	             app_encode_app(int, int, bit1, pls)))
239.92/240.14	     | app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	         app_encode_app(int, int, bit1, pls))
239.92/240.14	        = number_number_of(int)),
239.92/240.14	    inference('sup-', [status(thm)], ['9', '11'])).
239.92/240.14	tff('13', plain,
239.92/240.14	    app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	      app_encode_app(int, int, bit1, pls))
239.92/240.14	     = number_number_of(int),
239.92/240.14	    inference('simplify', [status(thm)], ['12'])).
239.92/240.14	tff(zf_stmt_107, axiom,
239.92/240.14	  (one_one(int) =
239.92/240.14	   app_encode_app(int,int,number_number_of(int),
239.92/240.14	                  app_encode_app(int,int,bit1,pls)))).
239.92/240.14	tff('14', plain,
239.92/240.14	    one_one(int)
239.92/240.14	     = app_encode_app(int, int, number_number_of(int), 
239.92/240.14	         app_encode_app(int, int, bit1, pls)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_107])).
239.92/240.14	tff('15', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
239.92/240.14	    inference('demod', [status(thm)], ['14', '1'])).
239.92/240.14	tff(zf_stmt_87, axiom,
239.92/240.14	  (![K1:int]:
239.92/240.14	     (app_encode_app(int,int,bit0,K1) =
239.92/240.14	      app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),K1),
239.92/240.14	                     K1)))).
239.92/240.14	tff('16', plain,
239.92/240.14	    ![X107 : int]:
239.92/240.14	      app_encode_app(int, int, bit0, X107)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             X107), X107),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_87])).
239.92/240.14	tff(zf_stmt_139, axiom, (number_ring(int))).
239.92/240.14	tff('17', plain, number_ring(int),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_139])).
239.92/240.14	tff(zf_stmt_68, axiom,
239.92/240.14	  (![A:$tType]:
239.92/240.14	     (number_ring(A) =>
239.92/240.14	      (![Z:A,W:int,V:int]:
239.92/240.14	         (app_encode_app(A,A,
239.92/240.14	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
239.92/240.14	                                        app_encode_app(int,A,
239.92/240.14	                                                       number_number_of(A),V)),
239.92/240.14	                         app_encode_app(A,A,
239.92/240.14	                                        app_encode_app(A,app_encode_fun(A,A),
239.92/240.14	                                                       plus_plus(A),
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,A,
239.92/240.14	                                                       number_number_of(A),W)),
239.92/240.14	                                        Z)) =
239.92/240.14	          app_encode_app(A,A,
239.92/240.14	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
239.92/240.14	                                        app_encode_app(int,A,
239.92/240.14	                                                       number_number_of(A),
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,int,
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,
239.92/240.14	                                                       app_encode_fun(
239.92/240.14	                                                       int,int),
239.92/240.14	                                                       plus_plus(int),V),W))),
239.92/240.14	                         Z)))))).
239.92/240.14	tff('18', plain,
239.92/240.14	    ![X76 : $tType, X77 : int, X78 : int, X79 : X76]:
239.92/240.14	      (app_encode_app(X76, X76, 
239.92/240.14	         app_encode_app(X76, app_encode_fun(X76, X76), plus_plus(X76), 
239.92/240.14	           app_encode_app(int, X76, number_number_of(X76), X77)), 
239.92/240.14	         app_encode_app(X76, X76, 
239.92/240.14	           app_encode_app(X76, app_encode_fun(X76, X76), plus_plus(X76), 
239.92/240.14	             app_encode_app(int, X76, number_number_of(X76), X78)), X79))
239.92/240.14	        = app_encode_app(X76, X76, 
239.92/240.14	            app_encode_app(X76, app_encode_fun(X76, X76), plus_plus(X76), 
239.92/240.14	              app_encode_app(int, X76, number_number_of(X76), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    plus_plus(int), X77), X78))), X79)
239.92/240.14	       | ~ number_ring(X76)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_68])).
239.92/240.14	tff('19', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      (~ $true
239.92/240.14	       | app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, number_number_of(int), X2)), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               app_encode_app(int, int, number_number_of(int), X1)), X0))
239.92/240.14	          = app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                app_encode_app(int, int, number_number_of(int), 
239.92/240.14	                  app_encode_app(int, int, 
239.92/240.14	                    app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                      plus_plus(int), X2), X1))), X0)),
239.92/240.14	    inference('sup-', [status(thm)], ['17', '18'])).
239.92/240.14	tff('20', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      (~ $true
239.92/240.14	       | app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               X1), X0))
239.92/240.14	          = app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    plus_plus(int), X2), X1)), X0)),
239.92/240.14	    inference('demod', [status(thm)], ['19', '1', '1', '1'])).
239.92/240.14	tff('21', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
239.92/240.14	          X0))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                 X2), X1)), X0),
239.92/240.14	    inference('simplify', [status(thm)], ['20'])).
239.92/240.14	tff('22', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	          X1))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, bit0, X0)), X1),
239.92/240.14	    inference('sup+', [status(thm)], ['16', '21'])).
239.92/240.14	tff(zf_stmt_72, axiom,
239.92/240.14	  (![L1:int,K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),
239.92/240.14	                                    app_encode_app(int,int,bit0,K1)),
239.92/240.14	                     app_encode_app(int,int,bit1,L1)) =
239.92/240.14	      app_encode_app(int,int,bit1,
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   plus_plus(int),K1),
239.92/240.14	                                    L1))))).
239.92/240.14	tff('23', plain,
239.92/240.14	    ![X85 : int, X86 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	          app_encode_app(int, int, bit0, X85)), 
239.92/240.14	        app_encode_app(int, int, bit1, X86))
239.92/240.14	       = app_encode_app(int, int, bit1, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               X85), X86)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_72])).
239.92/240.14	tff('24', plain,
239.92/240.14	    ![X85 : int, X86 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X85), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X85), 
239.92/240.14	          app_encode_app(int, int, bit1, X86)))
239.92/240.14	       = app_encode_app(int, int, bit1, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               X85), X86)),
239.92/240.14	    inference('demod', [status(thm)], ['23', '22'])).
239.92/240.14	tff(zf_stmt_85, axiom,
239.92/240.14	  (![K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),K1),
239.92/240.14	                     pls) =
239.92/240.14	      K1))).
239.92/240.14	tff('25', plain,
239.92/240.14	    ![X105 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X105), 
239.92/240.14	        pls)
239.92/240.14	       = X105,
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_85])).
239.92/240.14	tff(zf_stmt_73, axiom,
239.92/240.14	  (![L1:int,K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    minus_minus(int),
239.92/240.14	                                    app_encode_app(int,int,bit1,K1)),
239.92/240.14	                     app_encode_app(int,int,bit1,L1)) =
239.92/240.14	      app_encode_app(int,int,bit0,
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   minus_minus(int),K1),
239.92/240.14	                                    L1))))).
239.92/240.14	tff('26', plain,
239.92/240.14	    ![X87 : int, X88 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	          app_encode_app(int, int, bit1, X87)), 
239.92/240.14	        app_encode_app(int, int, bit1, X88))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               X87), X88)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_73])).
239.92/240.14	tff(zf_stmt_106, axiom,
239.92/240.14	  (![A:$tType]:
239.92/240.14	     (number_ring(A) =>
239.92/240.14	      (![C:A,W:int,V:int]:
239.92/240.14	         (app_encode_app(A,A,
239.92/240.14	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
239.92/240.14	                                        app_encode_app(int,A,
239.92/240.14	                                                       number_number_of(A),V)),
239.92/240.14	                         app_encode_app(A,A,
239.92/240.14	                                        app_encode_app(A,app_encode_fun(A,A),
239.92/240.14	                                                       minus_minus(A),
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,A,
239.92/240.14	                                                       number_number_of(A),W)),
239.92/240.14	                                        C)) =
239.92/240.14	          app_encode_app(A,A,
239.92/240.14	                         app_encode_app(A,app_encode_fun(A,A),minus_minus(A),
239.92/240.14	                                        app_encode_app(int,A,
239.92/240.14	                                                       number_number_of(A),
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,int,
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,
239.92/240.14	                                                       app_encode_fun(
239.92/240.14	                                                       int,int),
239.92/240.14	                                                       plus_plus(int),V),W))),
239.92/240.14	                         C)))))).
239.92/240.14	tff('27', plain,
239.92/240.14	    ![X147 : $tType, X148 : int, X149 : int, X150 : X147]:
239.92/240.14	      (app_encode_app(X147, X147, 
239.92/240.14	         app_encode_app(X147, app_encode_fun(X147, X147), plus_plus(X147), 
239.92/240.14	           app_encode_app(int, X147, number_number_of(X147), X148)), 
239.92/240.14	         app_encode_app(X147, X147, 
239.92/240.14	           app_encode_app(X147, app_encode_fun(X147, X147), 
239.92/240.14	             minus_minus(X147), 
239.92/240.14	             app_encode_app(int, X147, number_number_of(X147), X149)), X150))
239.92/240.14	        = app_encode_app(X147, X147, 
239.92/240.14	            app_encode_app(X147, app_encode_fun(X147, X147), 
239.92/240.14	              minus_minus(X147), 
239.92/240.14	              app_encode_app(int, X147, number_number_of(X147), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    plus_plus(int), X148), X149))), X150)
239.92/240.14	       | ~ number_ring(X147)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_106])).
239.92/240.14	tff('28', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      (~ $true
239.92/240.14	       | app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, number_number_of(int), X2)), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               app_encode_app(int, int, number_number_of(int), X1)), X0))
239.92/240.14	          = app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                minus_minus(int), 
239.92/240.14	                app_encode_app(int, int, number_number_of(int), 
239.92/240.14	                  app_encode_app(int, int, 
239.92/240.14	                    app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                      plus_plus(int), X2), X1))), X0)),
239.92/240.14	    inference('sup-', [status(thm)], ['17', '27'])).
239.92/240.14	tff('29', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      (~ $true
239.92/240.14	       | app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               X1), X0))
239.92/240.14	          = app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                minus_minus(int), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    plus_plus(int), X2), X1)), X0)),
239.92/240.14	    inference('demod', [status(thm)], ['28', '1', '1', '1'])).
239.92/240.14	tff('30', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), X1), 
239.92/240.14	          X0))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                 X2), X1)), X0),
239.92/240.14	    inference('simplify', [status(thm)], ['29'])).
239.92/240.14	tff('31', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	            pls), X1))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	             X0), X1),
239.92/240.14	    inference('sup+', [status(thm)], ['25', '30'])).
239.92/240.14	tff(zf_stmt_94, axiom,
239.92/240.14	  (![Z2:int,Z1:int,W:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),W),
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   minus_minus(int),Z1),
239.92/240.14	                                    Z2)) =
239.92/240.14	      app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    minus_minus(int),
239.92/240.14	                                    app_encode_app(int,int,
239.92/240.14	                                                   app_encode_app(int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  times_times(
239.92/240.14	                                                                  int),W),
239.92/240.14	                                                   Z1)),
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   times_times(int),W),
239.92/240.14	                                    Z2))))).
239.92/240.14	tff('32', plain,
239.92/240.14	    ![X122 : int, X123 : int, X124 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X122), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	            X123), X124))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                 times_times(int), X122), X123)), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               X122), X124)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_94])).
239.92/240.14	tff(zf_stmt_93, axiom,
239.92/240.14	  (![W:int,Z2:int,Z1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),
239.92/240.14	                                    app_encode_app(int,int,
239.92/240.14	                                                   app_encode_app(int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  minus_minus(
239.92/240.14	                                                                  int),Z1),
239.92/240.14	                                                   Z2)),
239.92/240.14	                     W) =
239.92/240.14	      app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    minus_minus(int),
239.92/240.14	                                    app_encode_app(int,int,
239.92/240.14	                                                   app_encode_app(int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  times_times(
239.92/240.14	                                                                  int),Z1),
239.92/240.14	                                                   W)),
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   times_times(int),Z2),
239.92/240.14	                                    W))))).
239.92/240.14	tff('33', plain,
239.92/240.14	    ![X119 : int, X120 : int, X121 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, 
239.92/240.14	            app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	              X119), X121)), X120)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                 times_times(int), X119), X120)), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               X121), X120)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_93])).
239.92/240.14	tff('34', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, 
239.92/240.14	            app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	              X1), X1)), X0)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	             X1), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               X0), X0)),
239.92/240.14	    inference('sup+', [status(thm)], ['32', '33'])).
239.92/240.14	tff('35', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, 
239.92/240.14	            app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	              app_encode_app(int, int, bit1, pls)), 
239.92/240.14	            app_encode_app(int, int, bit1, pls))), X0)
239.92/240.14	       = app_encode_app(int, int, number_number_of(int), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               X0), X0)),
239.92/240.14	    inference('sup+', [status(thm)], ['13', '34'])).
239.92/240.14	tff(zf_stmt_89, axiom,
239.92/240.14	  (![K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    minus_minus(int),K1),
239.92/240.14	                     pls) =
239.92/240.14	      K1))).
239.92/240.14	tff('36', plain,
239.92/240.14	    ![X110 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), minus_minus(int), X110), 
239.92/240.14	        pls)
239.92/240.14	       = X110,
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_89])).
239.92/240.14	tff('37', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      pls
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	             X0), X0),
239.92/240.14	    inference('demod', [status(thm)], ['35', '26', '36', '6', '3', '1'])).
239.92/240.14	tff(zf_stmt_136, axiom, (monoid_mult(int))).
239.92/240.14	tff('38', plain, monoid_mult(int),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_136])).
239.92/240.14	tff(zf_stmt_36, axiom,
239.92/240.14	  (![B1:$tType]:
239.92/240.14	     ((monoid_mult(B1) & number(B1)) =>
239.92/240.14	      (![W:int]:
239.92/240.14	         (app_encode_app(nat,B1,
239.92/240.14	                         app_encode_app(B1,app_encode_fun(nat,B1),
239.92/240.14	                                        power_power(B1),
239.92/240.14	                                        app_encode_app(int,B1,
239.92/240.14	                                                       number_number_of(B1),W)),
239.92/240.14	                         app_encode_app(int,nat,number_number_of(nat),
239.92/240.14	                                        app_encode_app(int,int,bit0,
239.92/240.14	                                                       app_encode_app(
239.92/240.14	                                                       int,int,bit1,pls)))) =
239.92/240.14	          app_encode_app(B1,B1,
239.92/240.14	                         app_encode_app(B1,app_encode_fun(B1,B1),
239.92/240.14	                                        times_times(B1),
239.92/240.14	                                        app_encode_app(int,B1,
239.92/240.14	                                                       number_number_of(B1),W)),
239.92/240.14	                         app_encode_app(int,B1,number_number_of(B1),W))))))).
239.92/240.14	tff('39', plain,
239.92/240.14	    ![X4 : $tType, X5 : int]:
239.92/240.14	      (app_encode_app(nat, X4, 
239.92/240.14	         app_encode_app(X4, app_encode_fun(nat, X4), power_power(X4), 
239.92/240.14	           app_encode_app(int, X4, number_number_of(X4), X5)), 
239.92/240.14	         app_encode_app(int, nat, number_number_of(nat), 
239.92/240.14	           app_encode_app(int, int, bit0, 
239.92/240.14	             app_encode_app(int, int, bit1, pls))))
239.92/240.14	        = app_encode_app(X4, X4, 
239.92/240.14	            app_encode_app(X4, app_encode_fun(X4, X4), times_times(X4), 
239.92/240.14	              app_encode_app(int, X4, number_number_of(X4), X5)), 
239.92/240.14	            app_encode_app(int, X4, number_number_of(X4), X5))
239.92/240.14	       | ~ number(X4)
239.92/240.14	       | ~ monoid_mult(X4)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_36])).
239.92/240.14	tff('40', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      (~ $true
239.92/240.14	       | ~ number(int)
239.92/240.14	       | app_encode_app(nat, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
239.92/240.14	             app_encode_app(int, int, number_number_of(int), X0)), 
239.92/240.14	           app_encode_app(int, nat, number_number_of(nat), 
239.92/240.14	             app_encode_app(int, int, bit0, 
239.92/240.14	               app_encode_app(int, int, bit1, pls))))
239.92/240.14	          = app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                times_times(int), 
239.92/240.14	                app_encode_app(int, int, number_number_of(int), X0)), 
239.92/240.14	              app_encode_app(int, int, number_number_of(int), X0))),
239.92/240.14	    inference('sup-', [status(thm)], ['38', '39'])).
239.92/240.14	tff(zf_stmt_142, axiom, (number(int))).
239.92/240.14	tff('41', plain, number(int), inference('cnf', [status(esa)], [zf_stmt_142])).
239.92/240.14	tff('42', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      (~ $true
239.92/240.14	       | ~ $true
239.92/240.14	       | app_encode_app(nat, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
239.92/240.14	             app_encode_app(int, int, number_number_of(int), X0)), 
239.92/240.14	           app_encode_app(int, nat, number_number_of(nat), 
239.92/240.14	             app_encode_app(int, int, bit0, 
239.92/240.14	               app_encode_app(int, int, bit1, pls))))
239.92/240.14	          = app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                times_times(int), 
239.92/240.14	                app_encode_app(int, int, number_number_of(int), X0)), 
239.92/240.14	              app_encode_app(int, int, number_number_of(int), X0))),
239.92/240.14	    inference('demod', [status(thm)], ['40', '41'])).
239.92/240.14	tff('43', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(nat, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
239.92/240.14	          app_encode_app(int, int, number_number_of(int), X0)), 
239.92/240.14	        app_encode_app(int, nat, number_number_of(nat), 
239.92/240.14	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	             app_encode_app(int, int, number_number_of(int), X0)), 
239.92/240.14	           app_encode_app(int, int, number_number_of(int), X0)),
239.92/240.14	    inference('simplify', [status(thm)], ['42'])).
239.92/240.14	tff('44', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(nat, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), X0), 
239.92/240.14	        app_encode_app(int, nat, number_number_of(nat), 
239.92/240.14	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls))))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	             X0), X0),
239.92/240.14	    inference('demod', [status(thm)], ['43', '1', '1', '1'])).
239.92/240.14	tff(zf_stmt_90, axiom,
239.92/240.14	  (![W:int,Z2:int,Z1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),
239.92/240.14	                                    app_encode_app(int,int,
239.92/240.14	                                                   app_encode_app(int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  plus_plus(
239.92/240.14	                                                                  int),Z1),
239.92/240.14	                                                   Z2)),
239.92/240.14	                     W) =
239.92/240.14	      app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),
239.92/240.14	                                    app_encode_app(int,int,
239.92/240.14	                                                   app_encode_app(int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  times_times(
239.92/240.14	                                                                  int),Z1),
239.92/240.14	                                                   W)),
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   times_times(int),Z2),
239.92/240.14	                                    W))))).
239.92/240.14	tff('45', plain,
239.92/240.14	    ![X111 : int, X112 : int, X113 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, 
239.92/240.14	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	              X111), X113)), X112)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                 times_times(int), X111), X112)), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               X113), X112)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_90])).
239.92/240.14	tff(zf_stmt_91, axiom,
239.92/240.14	  (![Z2:int,Z1:int,W:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    times_times(int),W),
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   plus_plus(int),Z1),
239.92/240.14	                                    Z2)) =
239.92/240.14	      app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),
239.92/240.14	                                    app_encode_app(int,int,
239.92/240.14	                                                   app_encode_app(int,
239.92/240.14	                                                                  app_encode_fun(
239.92/240.14	                                                                  int,int),
239.92/240.14	                                                                  times_times(
239.92/240.14	                                                                  int),W),
239.92/240.14	                                                   Z1)),
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   times_times(int),W),
239.92/240.14	                                    Z2))))).
239.92/240.14	tff('46', plain,
239.92/240.14	    ![X114 : int, X115 : int, X116 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X114), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X115), 
239.92/240.14	          X116))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                 times_times(int), X114), X115)), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               X114), X116)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_91])).
239.92/240.14	tff('47', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	          X0))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                 X1), X1)), X0),
239.92/240.14	    inference('sup+', [status(thm)], ['45', '46'])).
239.92/240.14	tff('48', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
239.92/240.14	        app_encode_app(int, int, bit0, X0))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               X1), X0)),
239.92/240.14	    inference('demod', [status(thm)], ['47', '16', '16', '2'])).
239.92/240.14	tff(zf_stmt_75, axiom,
239.92/240.14	  (![L1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    minus_minus(int),pls),
239.92/240.14	                     app_encode_app(int,int,bit0,L1)) =
239.92/240.14	      app_encode_app(int,int,bit0,
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   minus_minus(int),pls),
239.92/240.14	                                    L1))))).
239.92/240.14	tff('49', plain,
239.92/240.14	    ![X91 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), minus_minus(int), pls), 
239.92/240.14	        app_encode_app(int, int, bit0, X91))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               pls), X91)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_75])).
239.92/240.14	tff(zf_stmt_60, axiom,
239.92/240.14	  (![L1:int,K1:int]:
239.92/240.14	     (app_encode_app(int,int,
239.92/240.14	                     app_encode_app(int,app_encode_fun(int,int),
239.92/240.14	                                    plus_plus(int),
239.92/240.14	                                    app_encode_app(int,int,bit0,K1)),
239.92/240.14	                     app_encode_app(int,int,bit0,L1)) =
239.92/240.14	      app_encode_app(int,int,bit0,
239.92/240.14	                     app_encode_app(int,int,
239.92/240.14	                                    app_encode_app(int,
239.92/240.14	                                                   app_encode_fun(int,int),
239.92/240.14	                                                   plus_plus(int),K1),
239.92/240.14	                                    L1))))).
239.92/240.14	tff('50', plain,
239.92/240.14	    ![X49 : int, X50 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	          app_encode_app(int, int, bit0, X49)), 
239.92/240.14	        app_encode_app(int, int, bit0, X50))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               X49), X50)),
239.92/240.14	    inference('cnf', [status(esa)], [zf_stmt_60])).
239.92/240.14	tff('51', plain,
239.92/240.14	    ![X49 : int, X50 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X49), 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X49), 
239.92/240.14	          app_encode_app(int, int, bit0, X50)))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               X49), X50)),
239.92/240.14	    inference('demod', [status(thm)], ['50', '22'])).
239.92/240.14	tff('52', plain,
239.92/240.14	    app_encode_app(int, int, bit0, 
239.92/240.14	      app_encode_app(int, int, bit0, 
239.92/240.14	        app_encode_app(int, int, bit0, 
239.92/240.14	          app_encode_app(int, int, bit0, 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                times_times(int), m), m)))))
239.92/240.14	     != app_encode_app(int, int, bit0, 
239.92/240.14	          app_encode_app(int, int, bit0, 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    times_times(int), 
239.92/240.14	                    app_encode_app(int, int, bit1, 
239.92/240.14	                      app_encode_app(int, int, bit0, m))), m)), 
239.92/240.14	              app_encode_app(int, int, 
239.92/240.14	                app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                  minus_minus(int), pls), m)))),
239.92/240.14	    inference('demod', [status(thm)],
239.92/240.14	              ['0', '1', '2', '2', '13', '1', '15', '22', '22', '24', '25', 
239.92/240.14	               '22', '24', '16', '15', '26', '31', '37', '22', '25', '16', 
239.92/240.14	               '44', '2', '2', '48', '48', '1', '2', '2', '13', '1', '15', 
239.92/240.14	               '22', '22', '24', '25', '22', '24', '16', '1', '2', '2', 
239.92/240.14	               '13', '1', '15', '22', '22', '24', '25', '22', '24', '16', 
239.92/240.14	               '15', '26', '31', '37', '22', '25', '16', '48', '48', '15', 
239.92/240.14	               '13', '1', '2', '2', '13', '1', '15', '22', '22', '24', '25', 
239.92/240.14	               '22', '24', '16', '15', '26', '31', '37', '22', '25', '16', 
239.92/240.14	               '1', '31', '49', '49', '22', '22', '51', '22', '51', '51'])).
239.92/240.14	tff('53', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, X1)), 
239.92/240.14	        app_encode_app(int, int, bit0, X0))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               app_encode_app(int, int, 
239.92/240.14	                 app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                   times_times(int), X1), app_encode_app(int, int, bit0, X0))), 
239.92/240.14	             X0)),
239.92/240.14	    inference('sup+', [status(thm)], ['50', '4'])).
239.92/240.14	tff('54', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	          app_encode_app(int, int, 
239.92/240.14	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	              app_encode_app(int, int, bit1, X1)), 
239.92/240.14	            app_encode_app(int, int, bit0, X0))), 
239.92/240.14	        app_encode_app(int, int, bit0, X2))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               app_encode_app(int, int, 
239.92/240.14	                 app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                   plus_plus(int), 
239.92/240.14	                   app_encode_app(int, int, 
239.92/240.14	                     app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                       times_times(int), X1), 
239.92/240.14	                     app_encode_app(int, int, bit0, X0))), X0)), X2)),
239.92/240.14	    inference('sup+', [status(thm)], ['53', '50'])).
239.92/240.14	tff('55', plain,
239.92/240.14	    ![X0 : int, X1 : int, X2 : int]:
239.92/240.14	      app_encode_app(int, int, bit0, 
239.92/240.14	        app_encode_app(int, int, 
239.92/240.14	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                times_times(int), app_encode_app(int, int, bit1, X1)), X0)), 
239.92/240.14	          X2))
239.92/240.14	       = app_encode_app(int, int, bit0, 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               app_encode_app(int, int, 
239.92/240.14	                 app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                   times_times(int), X1), X0)), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                 app_encode_app(int, int, 
239.92/240.14	                   app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                     times_times(int), X1), X0)), 
239.92/240.14	               app_encode_app(int, int, 
239.92/240.14	                 app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                   plus_plus(int), X0), X2)))),
239.92/240.14	    inference('demod', [status(thm)],
239.92/240.14	              ['54', '48', '22', '51', '48', '22', '21', '21'])).
239.92/240.14	tff('56', plain,
239.92/240.14	    ![X0 : int, X1 : int]:
239.92/240.14	      pls
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               X0), 
239.92/240.14	             app_encode_app(int, int, 
239.92/240.14	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	                 X1), X0))),
239.92/240.14	    inference('sup+', [status(thm)], ['30', '37'])).
239.92/240.14	tff('57', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      pls
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
239.92/240.14	               pls), X0)),
239.92/240.14	    inference('sup+', [status(thm)], ['25', '56'])).
239.92/240.14	tff('58', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit1, pls))), 
239.92/240.14	        X0)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	             app_encode_app(int, int, bit0, X0)), X0),
239.92/240.14	    inference('sup+', [status(thm)], ['9', '4'])).
239.92/240.14	tff('59', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, 
239.92/240.14	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit1, pls))), 
239.92/240.14	        X0)
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	           app_encode_app(int, int, bit0, X0)),
239.92/240.14	    inference('demod', [status(thm)], ['58', '22', '16'])).
239.92/240.14	tff('60', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, bit0, app_encode_app(int, int, bit0, X0))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
239.92/240.14	               X0), app_encode_app(int, int, bit0, X0))),
239.92/240.14	    inference('sup+', [status(thm)], ['22', '16'])).
239.92/240.14	tff('61', plain,
239.92/240.14	    ![X0 : int]:
239.92/240.14	      app_encode_app(int, int, bit0, app_encode_app(int, int, bit0, X0))
239.92/240.14	       = app_encode_app(int, int, 
239.92/240.14	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
239.92/240.14	           app_encode_app(int, int, 
239.92/240.14	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
239.92/240.14	               app_encode_app(int, int, bit1, 
239.92/240.14	                 app_encode_app(int, int, bit1, pls))), X0)),
239.92/240.14	    inference('demod', [status(thm)], ['60', '59'])).
239.92/240.14	tff('62', plain,
239.92/240.14	    app_encode_app(int, int, bit0, 
239.92/240.14	      app_encode_app(int, int, bit0, 
239.92/240.14	        app_encode_app(int, int, bit0, 
239.92/240.14	          app_encode_app(int, int, bit0, 
239.92/240.14	            app_encode_app(int, int, 
239.92/240.14	              app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                times_times(int), m), m)))))
239.92/240.14	     != app_encode_app(int, int, bit0, 
239.92/240.14	          app_encode_app(int, int, bit0, 
239.92/240.14	            app_encode_app(int, int, bit0, 
239.92/240.14	              app_encode_app(int, int, bit0, 
239.92/240.14	                app_encode_app(int, int, 
239.92/240.14	                  app_encode_app(int, app_encode_fun(int, int), 
239.92/240.14	                    times_times(int), m), m))))),
239.92/240.14	    inference('demod', [status(thm)],
239.92/240.14	              ['52', '55', '2', '2', '57', '22', '25', '45', '16', '2', 
239.92/240.14	               '22', '59', '61'])).
239.92/240.14	tff('63', plain, $false, inference('simplify', [status(thm)], ['62'])).
239.92/240.14	
239.92/240.14	% SZS output end Refutation
239.92/240.14	EOF
