0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n154.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:34:38 CST 2018
2.83/3.02	% done 958 iterations in 2.809s
2.83/3.02	% SZS status Theorem for 'stdin'
2.83/3.02	% SZS output start Refutation
2.83/3.02	tff(zf_stmt_147, conjecture,
2.83/3.02	  (app_encode_app(int,int,
2.83/3.02	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.83/3.02	                                 app_encode_app(nat,int,
2.83/3.02	                                                app_encode_app(int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),v))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),w)))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),v),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),w),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))))),
2.83/3.02	                                                app_encode_app(int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))),
2.83/3.02	                  app_encode_app(nat,int,
2.83/3.02	                                 app_encode_app(int,app_encode_fun(nat,int),
2.83/3.02	                                                power_power(int),
2.83/3.02	                                                app_encode_app(int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               minus_minus(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),w))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),v)))),
2.83/3.02	                                 app_encode_app(int,nat,
2.83/3.02	                                                number_number_of(nat),
2.83/3.02	                                                app_encode_app(int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))) =
2.83/3.02	   app_encode_app(int,int,
2.83/3.02	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.83/3.02	                                 app_encode_app(nat,int,
2.83/3.02	                                                app_encode_app(int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),v))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),w)))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),m1))),
2.83/3.02	                                                app_encode_app(int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))),
2.83/3.02	                  app_encode_app(nat,int,
2.83/3.02	                                 app_encode_app(int,app_encode_fun(nat,int),
2.83/3.02	                                                power_power(int),
2.83/3.02	                                                app_encode_app(int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               minus_minus(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),w))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),v)))),
2.83/3.02	                                 app_encode_app(int,nat,
2.83/3.02	                                                number_number_of(nat),
2.83/3.02	                                                app_encode_app(int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))))).
2.83/3.02	tff(zf_stmt_0, negated_conjecture,
2.83/3.02	  (app_encode_app(int,int,
2.83/3.02	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.83/3.02	                                 app_encode_app(nat,int,
2.83/3.02	                                                app_encode_app(int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),v))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),w)))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),v),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),w),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))))),
2.83/3.02	                                                app_encode_app(int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))),
2.83/3.02	                  app_encode_app(nat,int,
2.83/3.02	                                 app_encode_app(int,app_encode_fun(nat,int),
2.83/3.02	                                                power_power(int),
2.83/3.02	                                                app_encode_app(int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               minus_minus(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),w))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),v)))),
2.83/3.02	                                 app_encode_app(int,nat,
2.83/3.02	                                                number_number_of(nat),
2.83/3.02	                                                app_encode_app(int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))) !=
2.83/3.02	   app_encode_app(int,int,
2.83/3.02	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.83/3.02	                                 app_encode_app(nat,int,
2.83/3.02	                                                app_encode_app(int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               nat,int),
2.83/3.02	                                                               power_power(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),v))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),w)))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),m1))),
2.83/3.02	                                                app_encode_app(int,nat,
2.83/3.02	                                                               number_number_of(
2.83/3.02	                                                               nat),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))),
2.83/3.02	                  app_encode_app(nat,int,
2.83/3.02	                                 app_encode_app(int,app_encode_fun(nat,int),
2.83/3.02	                                                power_power(int),
2.83/3.02	                                                app_encode_app(int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               minus_minus(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),r),w))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               plus_plus(int),
2.83/3.02	                                                               one_one(int)),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               nat,int,
2.83/3.02	                                                               semiring_1_of_nat(
2.83/3.02	                                                               int),n))),
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,
2.83/3.02	                                                               app_encode_fun(
2.83/3.02	                                                               int,int),
2.83/3.02	                                                               times_times(
2.83/3.02	                                                               int),sa),v)))),
2.83/3.02	                                 app_encode_app(int,nat,
2.83/3.02	                                                number_number_of(nat),
2.83/3.02	                                                app_encode_app(int,int,bit0,
2.83/3.02	                                                               app_encode_app(
2.83/3.02	                                                               int,int,bit1,
2.83/3.02	                                                               pls))))))).
2.83/3.02	tff('0', plain,
2.83/3.02	    app_encode_app(int, int, 
2.83/3.02	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	        app_encode_app(nat, int, 
2.83/3.02	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.02	            app_encode_app(int, int, 
2.83/3.02	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    plus_plus(int), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        times_times(int), 
2.83/3.02	                        app_encode_app(int, int, 
2.83/3.02	                          app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                            plus_plus(int), one_one(int)), 
2.83/3.02	                          app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          times_times(int), r), v))), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      times_times(int), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          plus_plus(int), one_one(int)), 
2.83/3.02	                        app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        times_times(int), sa), w)))), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  plus_plus(int), 
2.83/3.02	                  app_encode_app(nat, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.02	                      power_power(int), v), 
2.83/3.02	                    app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	                      app_encode_app(int, int, bit0, 
2.83/3.02	                        app_encode_app(int, int, bit1, pls))))), 
2.83/3.02	                app_encode_app(nat, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.02	                    power_power(int), w), 
2.83/3.02	                  app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	                    app_encode_app(int, int, bit0, 
2.83/3.02	                      app_encode_app(int, int, bit1, pls))))))), 
2.83/3.02	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	            app_encode_app(int, int, bit0, 
2.83/3.02	              app_encode_app(int, int, bit1, pls))))), 
2.83/3.02	      app_encode_app(nat, int, 
2.83/3.02	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.02	          app_encode_app(int, int, 
2.83/3.02	            app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  times_times(int), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      plus_plus(int), one_one(int)), 
2.83/3.02	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    times_times(int), r), w))), 
2.83/3.02	            app_encode_app(int, int, 
2.83/3.02	              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                times_times(int), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    plus_plus(int), one_one(int)), 
2.83/3.02	                  app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  times_times(int), sa), v)))), 
2.83/3.02	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.83/3.02	     != app_encode_app(int, int, 
2.83/3.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	            app_encode_app(nat, int, 
2.83/3.02	              app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.02	                power_power(int), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    plus_plus(int), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        plus_plus(int), 
2.83/3.02	                        app_encode_app(int, int, 
2.83/3.02	                          app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                            times_times(int), 
2.83/3.02	                            app_encode_app(int, int, 
2.83/3.02	                              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                                plus_plus(int), one_one(int)), 
2.83/3.02	                              app_encode_app(nat, int, 
2.83/3.02	                                semiring_1_of_nat(int), n))), 
2.83/3.02	                          app_encode_app(int, int, 
2.83/3.02	                            app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                              times_times(int), r), v))), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          times_times(int), 
2.83/3.02	                          app_encode_app(int, int, 
2.83/3.02	                            app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                              plus_plus(int), one_one(int)), 
2.83/3.02	                            app_encode_app(nat, int, semiring_1_of_nat(int), 
2.83/3.02	                              n))), 
2.83/3.02	                        app_encode_app(int, int, 
2.83/3.02	                          app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                            times_times(int), sa), w)))), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      times_times(int), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          plus_plus(int), one_one(int)), 
2.83/3.02	                        app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                    m1))), 
2.83/3.02	              app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	                app_encode_app(int, int, bit0, 
2.83/3.02	                  app_encode_app(int, int, bit1, pls))))), 
2.83/3.02	          app_encode_app(nat, int, 
2.83/3.02	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  minus_minus(int), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      times_times(int), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          plus_plus(int), one_one(int)), 
2.83/3.02	                        app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        times_times(int), r), w))), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    times_times(int), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        plus_plus(int), one_one(int)), 
2.83/3.02	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      times_times(int), sa), v)))), 
2.83/3.02	            app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	              app_encode_app(int, int, bit0, 
2.83/3.02	                app_encode_app(int, int, bit1, pls))))),
2.83/3.02	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.83/3.02	tff(zf_stmt_105, axiom,
2.83/3.02	  (![Z2:int,Z1:int,W:int]:
2.83/3.02	     (app_encode_app(int,int,
2.83/3.02	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.02	                                    times_times(int),W),
2.83/3.02	                     app_encode_app(int,int,
2.83/3.02	                                    app_encode_app(int,
2.83/3.02	                                                   app_encode_fun(int,int),
2.83/3.02	                                                   plus_plus(int),Z1),
2.83/3.02	                                    Z2)) =
2.83/3.02	      app_encode_app(int,int,
2.83/3.02	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.02	                                    plus_plus(int),
2.83/3.02	                                    app_encode_app(int,int,
2.83/3.02	                                                   app_encode_app(int,
2.83/3.02	                                                                  app_encode_fun(
2.83/3.02	                                                                  int,int),
2.83/3.02	                                                                  times_times(
2.83/3.02	                                                                  int),W),
2.83/3.02	                                                   Z1)),
2.83/3.02	                     app_encode_app(int,int,
2.83/3.02	                                    app_encode_app(int,
2.83/3.02	                                                   app_encode_fun(int,int),
2.83/3.02	                                                   times_times(int),W),
2.83/3.02	                                    Z2))))).
2.83/3.02	tff('1', plain,
2.83/3.02	    ![X147 : int, X148 : int, X149 : int]:
2.83/3.02	      app_encode_app(int, int, 
2.83/3.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X147), 
2.83/3.02	        app_encode_app(int, int, 
2.83/3.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X148), 
2.83/3.02	          X149))
2.83/3.02	       = app_encode_app(int, int, 
2.83/3.02	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	             app_encode_app(int, int, 
2.83/3.02	               app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                 times_times(int), X147), X148)), 
2.83/3.02	           app_encode_app(int, int, 
2.83/3.02	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.02	               X147), X149)),
2.83/3.02	    inference('cnf', [status(esa)], [zf_stmt_105])).
2.83/3.02	tff(zf_stmt_101, axiom,
2.83/3.02	  (![K:int]:
2.83/3.02	     (app_encode_app(int,int,
2.83/3.02	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.02	                                    plus_plus(int),K),
2.83/3.02	                     pls) =
2.83/3.02	      K))).
2.83/3.02	tff('2', plain,
2.83/3.02	    ![X141 : int]:
2.83/3.02	      app_encode_app(int, int, 
2.83/3.02	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X141), 
2.83/3.02	        pls)
2.83/3.02	       = X141,
2.83/3.02	    inference('cnf', [status(esa)], [zf_stmt_101])).
2.83/3.02	tff(zf_stmt_114, axiom,
2.83/3.02	  (![K:int]:
2.83/3.02	     (app_encode_app(int,int,bit1,K) =
2.83/3.02	      app_encode_app(int,int,
2.83/3.02	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.02	                                    plus_plus(int),
2.83/3.02	                                    app_encode_app(int,int,
2.83/3.02	                                                   app_encode_app(int,
2.83/3.02	                                                                  app_encode_fun(
2.83/3.02	                                                                  int,int),
2.83/3.02	                                                                  plus_plus(
2.83/3.02	                                                                  int),
2.83/3.02	                                                                  one_one(
2.83/3.02	                                                                  int)),
2.83/3.02	                                                   K)),
2.83/3.02	                     K)))).
2.83/3.02	tff('3', plain,
2.83/3.02	    ![X170 : int]:
2.83/3.02	      app_encode_app(int, int, bit1, X170)
2.83/3.02	       = app_encode_app(int, int, 
2.83/3.02	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	             app_encode_app(int, int, 
2.83/3.02	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	                 one_one(int)), X170)), X170),
2.83/3.02	    inference('cnf', [status(esa)], [zf_stmt_114])).
2.83/3.02	tff('4', plain,
2.83/3.02	    app_encode_app(int, int, bit1, pls)
2.83/3.02	     = app_encode_app(int, int, 
2.83/3.02	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	           one_one(int)), pls),
2.83/3.02	    inference('sup+', [status(thm)], ['2', '3'])).
2.83/3.02	tff('5', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
2.83/3.02	    inference('demod', [status(thm)], ['4', '2'])).
2.83/3.02	tff(zf_stmt_108, axiom,
2.83/3.02	  (![Z2:int,Z1:int,W:int]:
2.83/3.02	     (app_encode_app(int,int,
2.83/3.02	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.02	                                    times_times(int),W),
2.83/3.02	                     app_encode_app(int,int,
2.83/3.02	                                    app_encode_app(int,
2.83/3.02	                                                   app_encode_fun(int,int),
2.83/3.02	                                                   minus_minus(int),Z1),
2.83/3.02	                                    Z2)) =
2.83/3.02	      app_encode_app(int,int,
2.83/3.02	                     app_encode_app(int,app_encode_fun(int,int),
2.83/3.02	                                    minus_minus(int),
2.83/3.02	                                    app_encode_app(int,int,
2.83/3.02	                                                   app_encode_app(int,
2.83/3.02	                                                                  app_encode_fun(
2.83/3.02	                                                                  int,int),
2.83/3.02	                                                                  times_times(
2.83/3.02	                                                                  int),W),
2.83/3.02	                                                   Z1)),
2.83/3.02	                     app_encode_app(int,int,
2.83/3.02	                                    app_encode_app(int,
2.83/3.02	                                                   app_encode_fun(int,int),
2.83/3.02	                                                   times_times(int),W),
2.83/3.02	                                    Z2))))).
2.83/3.02	tff('6', plain,
2.83/3.02	    ![X154 : int, X155 : int, X156 : int]:
2.83/3.02	      app_encode_app(int, int, 
2.83/3.02	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X154), 
2.83/3.02	        app_encode_app(int, int, 
2.83/3.02	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
2.83/3.02	            X155), X156))
2.83/3.02	       = app_encode_app(int, int, 
2.83/3.02	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
2.83/3.02	             app_encode_app(int, int, 
2.83/3.02	               app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                 times_times(int), X154), X155)), 
2.83/3.02	           app_encode_app(int, int, 
2.83/3.02	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.02	               X154), X156)),
2.83/3.02	    inference('cnf', [status(esa)], [zf_stmt_108])).
2.83/3.02	tff('7', plain,
2.83/3.02	    app_encode_app(int, int, 
2.83/3.02	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	        app_encode_app(nat, int, 
2.83/3.02	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.02	            app_encode_app(int, int, 
2.83/3.02	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    times_times(int), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        plus_plus(int), one_one(int)), 
2.83/3.02	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      plus_plus(int), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          times_times(int), r), v)), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        times_times(int), sa), w)))), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  plus_plus(int), 
2.83/3.02	                  app_encode_app(nat, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.02	                      power_power(int), v), 
2.83/3.02	                    app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	                      app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.02	                app_encode_app(nat, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.02	                    power_power(int), w), 
2.83/3.02	                  app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	                    app_encode_app(int, int, bit0, one_one(int))))))), 
2.83/3.02	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	            app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.02	      app_encode_app(nat, int, 
2.83/3.02	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.02	          app_encode_app(int, int, 
2.83/3.02	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  plus_plus(int), one_one(int)), 
2.83/3.02	                app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	            app_encode_app(int, int, 
2.83/3.02	              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                minus_minus(int), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    times_times(int), r), w)), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                  times_times(int), sa), v)))), 
2.83/3.02	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	          app_encode_app(int, int, bit0, one_one(int)))))
2.83/3.02	     != app_encode_app(int, int, 
2.83/3.02	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.02	            app_encode_app(nat, int, 
2.83/3.02	              app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.02	                power_power(int), 
2.83/3.02	                app_encode_app(int, int, 
2.83/3.02	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                    times_times(int), 
2.83/3.02	                    app_encode_app(int, int, 
2.83/3.02	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                        plus_plus(int), one_one(int)), 
2.83/3.02	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.02	                  app_encode_app(int, int, 
2.83/3.02	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                      plus_plus(int), 
2.83/3.02	                      app_encode_app(int, int, 
2.83/3.02	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                          plus_plus(int), 
2.83/3.02	                          app_encode_app(int, int, 
2.83/3.02	                            app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                              times_times(int), r), v)), 
2.83/3.02	                        app_encode_app(int, int, 
2.83/3.02	                          app_encode_app(int, app_encode_fun(int, int), 
2.83/3.02	                            times_times(int), sa), w))), m1))), 
2.83/3.02	              app_encode_app(int, nat, number_number_of(nat), 
2.83/3.02	                app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.02	          app_encode_app(nat, int, 
2.83/3.02	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.02	              app_encode_app(int, int, 
2.83/3.02	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                  times_times(int), 
2.83/3.03	                  app_encode_app(int, int, 
2.83/3.03	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                      plus_plus(int), one_one(int)), 
2.83/3.03	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.03	                app_encode_app(int, int, 
2.83/3.03	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                    minus_minus(int), 
2.83/3.03	                    app_encode_app(int, int, 
2.83/3.03	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                        times_times(int), r), w)), 
2.83/3.03	                  app_encode_app(int, int, 
2.83/3.03	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                      times_times(int), sa), v)))), 
2.83/3.03	            app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	              app_encode_app(int, int, bit0, one_one(int))))),
2.83/3.03	    inference('demod', [status(thm)],
2.83/3.03	              ['0', '1', '5', '5', '5', '6', '5', '1', '1', '5', '6', '5'])).
2.83/3.03	tff(zf_stmt_36, axiom,
2.83/3.03	  (~
2.83/3.03	    (![M1:int]:
2.83/3.03	       (app_encode_app(int,int,
2.83/3.03	                       app_encode_app(int,app_encode_fun(int,int),
2.83/3.03	                                      plus_plus(int),
2.83/3.03	                                      app_encode_app(nat,int,
2.83/3.03	                                                     app_encode_app(int,
2.83/3.03	                                                                    app_encode_fun(
2.83/3.03	                                                                    nat,int),
2.83/3.03	                                                                    power_power(
2.83/3.03	                                                                    int),v),
2.83/3.03	                                                     app_encode_app(int,nat,
2.83/3.03	                                                                    number_number_of(
2.83/3.03	                                                                    nat),
2.83/3.03	                                                                    app_encode_app(
2.83/3.03	                                                                    int,int,
2.83/3.03	                                                                    bit0,
2.83/3.03	                                                                    app_encode_app(
2.83/3.03	                                                                    int,int,
2.83/3.03	                                                                    bit1,pls))))),
2.83/3.03	                       app_encode_app(nat,int,
2.83/3.03	                                      app_encode_app(int,
2.83/3.03	                                                     app_encode_fun(nat,int),
2.83/3.03	                                                     power_power(int),w),
2.83/3.03	                                      app_encode_app(int,nat,
2.83/3.03	                                                     number_number_of(nat),
2.83/3.03	                                                     app_encode_app(int,int,
2.83/3.03	                                                                    bit0,
2.83/3.03	                                                                    app_encode_app(
2.83/3.03	                                                                    int,int,
2.83/3.03	                                                                    bit1,pls))))) !=
2.83/3.03	        app_encode_app(int,int,
2.83/3.03	                       app_encode_app(int,app_encode_fun(int,int),
2.83/3.03	                                      times_times(int),
2.83/3.03	                                      app_encode_app(int,int,
2.83/3.03	                                                     app_encode_app(int,
2.83/3.03	                                                                    app_encode_fun(
2.83/3.03	                                                                    int,int),
2.83/3.03	                                                                    plus_plus(
2.83/3.03	                                                                    int),
2.83/3.03	                                                                    one_one(
2.83/3.03	                                                                    int)),
2.83/3.03	                                                     app_encode_app(nat,int,
2.83/3.03	                                                                    semiring_1_of_nat(
2.83/3.03	                                                                    int),n))),
2.83/3.03	                       M1))))).
2.83/3.03	tff('8', plain,
2.83/3.03	    app_encode_app(int, int, 
2.83/3.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	        app_encode_app(nat, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.83/3.03	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	            app_encode_app(int, int, bit0, 
2.83/3.03	              app_encode_app(int, int, bit1, pls))))), 
2.83/3.03	      app_encode_app(nat, int, 
2.83/3.03	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.83/3.03	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.83/3.03	     = app_encode_app(int, int, 
2.83/3.03	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	           app_encode_app(int, int, 
2.83/3.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	               one_one(int)), 
2.83/3.03	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
2.83/3.03	    inference('cnf', [status(esa)], [zf_stmt_36])).
2.83/3.03	tff('9', plain,
2.83/3.03	    app_encode_app(int, int, 
2.83/3.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	        app_encode_app(nat, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.83/3.03	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	            app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.03	      app_encode_app(nat, int, 
2.83/3.03	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.83/3.03	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	          app_encode_app(int, int, bit0, one_one(int)))))
2.83/3.03	     = app_encode_app(int, int, 
2.83/3.03	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	           app_encode_app(int, int, 
2.83/3.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	               one_one(int)), 
2.83/3.03	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
2.83/3.03	    inference('demod', [status(thm)], ['8', '5', '5'])).
2.83/3.03	tff(zf_stmt_34, axiom,
2.83/3.03	  (app_encode_app(int,int,
2.83/3.03	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
2.83/3.03	                                 app_encode_app(nat,int,
2.83/3.03	                                                app_encode_app(int,
2.83/3.03	                                                               app_encode_fun(
2.83/3.03	                                                               nat,int),
2.83/3.03	                                                               power_power(
2.83/3.03	                                                               int),v),
2.83/3.03	                                                app_encode_app(int,nat,
2.83/3.03	                                                               number_number_of(
2.83/3.03	                                                               nat),
2.83/3.03	                                                               app_encode_app(
2.83/3.03	                                                               int,int,bit0,
2.83/3.03	                                                               app_encode_app(
2.83/3.03	                                                               int,int,bit1,
2.83/3.03	                                                               pls))))),
2.83/3.03	                  app_encode_app(nat,int,
2.83/3.03	                                 app_encode_app(int,app_encode_fun(nat,int),
2.83/3.03	                                                power_power(int),w),
2.83/3.03	                                 app_encode_app(int,nat,
2.83/3.03	                                                number_number_of(nat),
2.83/3.03	                                                app_encode_app(int,int,bit0,
2.83/3.03	                                                               app_encode_app(
2.83/3.03	                                                               int,int,bit1,
2.83/3.03	                                                               pls))))) =
2.83/3.03	   app_encode_app(int,int,
2.83/3.03	                  app_encode_app(int,app_encode_fun(int,int),
2.83/3.03	                                 times_times(int),
2.83/3.03	                                 app_encode_app(int,int,
2.83/3.03	                                                app_encode_app(int,
2.83/3.03	                                                               app_encode_fun(
2.83/3.03	                                                               int,int),
2.83/3.03	                                                               plus_plus(int),
2.83/3.03	                                                               one_one(int)),
2.83/3.03	                                                app_encode_app(nat,int,
2.83/3.03	                                                               semiring_1_of_nat(
2.83/3.03	                                                               int),n))),
2.83/3.03	                  m1))).
2.83/3.03	tff('10', plain,
2.83/3.03	    app_encode_app(int, int, 
2.83/3.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	        app_encode_app(nat, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.83/3.03	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	            app_encode_app(int, int, bit0, 
2.83/3.03	              app_encode_app(int, int, bit1, pls))))), 
2.83/3.03	      app_encode_app(nat, int, 
2.83/3.03	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.83/3.03	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
2.83/3.03	     = app_encode_app(int, int, 
2.83/3.03	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	           app_encode_app(int, int, 
2.83/3.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	               one_one(int)), 
2.83/3.03	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
2.83/3.03	    inference('cnf', [status(esa)], [zf_stmt_34])).
2.83/3.03	tff('11', plain,
2.83/3.03	    app_encode_app(int, int, 
2.83/3.03	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	        app_encode_app(int, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	            one_one(int)), 
2.83/3.03	          app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)
2.83/3.03	     = app_encode_app(int, int, 
2.83/3.03	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	           app_encode_app(int, int, 
2.83/3.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	               one_one(int)), 
2.83/3.03	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
2.83/3.03	    inference('sup+', [status(thm)], ['10', '8'])).
2.83/3.03	tff('12', plain,
2.83/3.03	    app_encode_app(int, int, 
2.83/3.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	        app_encode_app(nat, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
2.83/3.03	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	            app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.03	      app_encode_app(nat, int, 
2.83/3.03	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
2.83/3.03	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	          app_encode_app(int, int, bit0, one_one(int)))))
2.83/3.03	     = app_encode_app(int, int, 
2.83/3.03	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	           app_encode_app(int, int, 
2.83/3.03	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	               one_one(int)), 
2.83/3.03	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
2.83/3.03	    inference('demod', [status(thm)], ['9', '11'])).
2.83/3.03	tff('13', plain,
2.83/3.03	    app_encode_app(int, int, 
2.83/3.03	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	        app_encode_app(nat, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.03	            app_encode_app(int, int, 
2.83/3.03	              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                times_times(int), 
2.83/3.03	                app_encode_app(int, int, 
2.83/3.03	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                    plus_plus(int), one_one(int)), 
2.83/3.03	                  app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.03	              app_encode_app(int, int, 
2.83/3.03	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                  plus_plus(int), 
2.83/3.03	                  app_encode_app(int, int, 
2.83/3.03	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                      plus_plus(int), 
2.83/3.03	                      app_encode_app(int, int, 
2.83/3.03	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                          times_times(int), r), v)), 
2.83/3.03	                    app_encode_app(int, int, 
2.83/3.03	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                        times_times(int), sa), w))), m1))), 
2.83/3.03	          app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	            app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.03	      app_encode_app(nat, int, 
2.83/3.03	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.03	          app_encode_app(int, int, 
2.83/3.03	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.83/3.03	              app_encode_app(int, int, 
2.83/3.03	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                  plus_plus(int), one_one(int)), 
2.83/3.03	                app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.03	            app_encode_app(int, int, 
2.83/3.03	              app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                minus_minus(int), 
2.83/3.03	                app_encode_app(int, int, 
2.83/3.03	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                    times_times(int), r), w)), 
2.83/3.03	              app_encode_app(int, int, 
2.83/3.03	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                  times_times(int), sa), v)))), 
2.83/3.03	        app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	          app_encode_app(int, int, bit0, one_one(int)))))
2.83/3.03	     != app_encode_app(int, int, 
2.83/3.03	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.83/3.03	            app_encode_app(nat, int, 
2.83/3.03	              app_encode_app(int, app_encode_fun(nat, int), 
2.83/3.03	                power_power(int), 
2.83/3.03	                app_encode_app(int, int, 
2.83/3.03	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                    times_times(int), 
2.83/3.03	                    app_encode_app(int, int, 
2.83/3.03	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                        plus_plus(int), one_one(int)), 
2.83/3.03	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.03	                  app_encode_app(int, int, 
2.83/3.03	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                      plus_plus(int), 
2.83/3.03	                      app_encode_app(int, int, 
2.83/3.03	                        app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                          plus_plus(int), 
2.83/3.03	                          app_encode_app(int, int, 
2.83/3.03	                            app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                              times_times(int), r), v)), 
2.83/3.03	                        app_encode_app(int, int, 
2.83/3.03	                          app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                            times_times(int), sa), w))), m1))), 
2.83/3.03	              app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	                app_encode_app(int, int, bit0, one_one(int))))), 
2.83/3.03	          app_encode_app(nat, int, 
2.83/3.03	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
2.83/3.03	              app_encode_app(int, int, 
2.83/3.03	                app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                  times_times(int), 
2.83/3.03	                  app_encode_app(int, int, 
2.83/3.03	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                      plus_plus(int), one_one(int)), 
2.83/3.03	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
2.83/3.03	                app_encode_app(int, int, 
2.83/3.03	                  app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                    minus_minus(int), 
2.83/3.03	                    app_encode_app(int, int, 
2.83/3.03	                      app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                        times_times(int), r), w)), 
2.83/3.03	                  app_encode_app(int, int, 
2.83/3.03	                    app_encode_app(int, app_encode_fun(int, int), 
2.83/3.03	                      times_times(int), sa), v)))), 
2.83/3.03	            app_encode_app(int, nat, number_number_of(nat), 
2.83/3.03	              app_encode_app(int, int, bit0, one_one(int))))),
2.83/3.03	    inference('demod', [status(thm)], ['7', '12', '1'])).
2.83/3.03	tff('14', plain, $false, inference('simplify', [status(thm)], ['13'])).
2.83/3.03	
2.83/3.03	% SZS output end Refutation
2.83/3.03	EOF
