0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n118.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
3.15/3.39	% done 972 iterations in 3.181s
3.15/3.39	% SZS status Theorem for 'stdin'
3.15/3.39	% SZS output start Refutation
3.15/3.39	tff(zf_stmt_146, conjecture,
3.15/3.39	  (app_encode_app(int,int,
3.15/3.39	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
3.15/3.39	                                 app_encode_app(nat,int,
3.15/3.39	                                                app_encode_app(int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),v))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),w)))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),v),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),w),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))))),
3.15/3.39	                                                app_encode_app(int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                  app_encode_app(nat,int,
3.15/3.39	                                 app_encode_app(int,app_encode_fun(nat,int),
3.15/3.39	                                                power_power(int),
3.15/3.39	                                                app_encode_app(int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               minus_minus(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),w))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),v)))),
3.15/3.39	                                 app_encode_app(int,nat,
3.15/3.39	                                                number_number_of(nat),
3.15/3.39	                                                app_encode_app(int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))) =
3.15/3.39	   app_encode_app(int,int,
3.15/3.39	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
3.15/3.39	                                 app_encode_app(nat,int,
3.15/3.39	                                                app_encode_app(int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),v))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),w)))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),m1))),
3.15/3.39	                                                app_encode_app(int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                  app_encode_app(nat,int,
3.15/3.39	                                 app_encode_app(int,app_encode_fun(nat,int),
3.15/3.39	                                                power_power(int),
3.15/3.39	                                                app_encode_app(int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               minus_minus(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),w))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),v)))),
3.15/3.39	                                 app_encode_app(int,nat,
3.15/3.39	                                                number_number_of(nat),
3.15/3.39	                                                app_encode_app(int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))))).
3.15/3.39	tff(zf_stmt_0, negated_conjecture,
3.15/3.39	  (app_encode_app(int,int,
3.15/3.39	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
3.15/3.39	                                 app_encode_app(nat,int,
3.15/3.39	                                                app_encode_app(int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),v))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),w)))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),v),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),w),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))))),
3.15/3.39	                                                app_encode_app(int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                  app_encode_app(nat,int,
3.15/3.39	                                 app_encode_app(int,app_encode_fun(nat,int),
3.15/3.39	                                                power_power(int),
3.15/3.39	                                                app_encode_app(int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               minus_minus(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),w))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),v)))),
3.15/3.39	                                 app_encode_app(int,nat,
3.15/3.39	                                                number_number_of(nat),
3.15/3.39	                                                app_encode_app(int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))) !=
3.15/3.39	   app_encode_app(int,int,
3.15/3.39	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
3.15/3.39	                                 app_encode_app(nat,int,
3.15/3.39	                                                app_encode_app(int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),v))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),w)))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),m1))),
3.15/3.39	                                                app_encode_app(int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                  app_encode_app(nat,int,
3.15/3.39	                                 app_encode_app(int,app_encode_fun(nat,int),
3.15/3.39	                                                power_power(int),
3.15/3.39	                                                app_encode_app(int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               minus_minus(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),r),w))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               times_times(
3.15/3.39	                                                               int),sa),v)))),
3.15/3.39	                                 app_encode_app(int,nat,
3.15/3.39	                                                number_number_of(nat),
3.15/3.39	                                                app_encode_app(int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))))).
3.15/3.39	tff('0', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	            app_encode_app(int, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    plus_plus(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), 
3.15/3.39	                        app_encode_app(int, int, 
3.15/3.39	                          app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                            plus_plus(int), one_one(int)), 
3.15/3.39	                          app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          times_times(int), r), v))), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      times_times(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          plus_plus(int), one_one(int)), 
3.15/3.39	                        app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), sa), w)))), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  plus_plus(int), 
3.15/3.39	                  app_encode_app(nat, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                      power_power(int), v), 
3.15/3.39	                    app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                      app_encode_app(int, int, bit0, 
3.15/3.39	                        app_encode_app(int, int, bit1, pls))))), 
3.15/3.39	                app_encode_app(nat, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                    power_power(int), w), 
3.15/3.39	                  app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                    app_encode_app(int, int, bit0, 
3.15/3.39	                      app_encode_app(int, int, bit1, pls))))))), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, 
3.15/3.39	              app_encode_app(int, int, bit1, pls))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	          app_encode_app(int, int, 
3.15/3.39	            app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  times_times(int), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), one_one(int)), 
3.15/3.39	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), r), w))), 
3.15/3.39	            app_encode_app(int, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                times_times(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    plus_plus(int), one_one(int)), 
3.15/3.39	                  app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  times_times(int), sa), v)))), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
3.15/3.39	     != app_encode_app(int, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	            app_encode_app(nat, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                power_power(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    plus_plus(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        plus_plus(int), 
3.15/3.39	                        app_encode_app(int, int, 
3.15/3.39	                          app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                            times_times(int), 
3.15/3.39	                            app_encode_app(int, int, 
3.15/3.39	                              app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                                plus_plus(int), one_one(int)), 
3.15/3.39	                              app_encode_app(nat, int, 
3.15/3.39	                                semiring_1_of_nat(int), n))), 
3.15/3.39	                          app_encode_app(int, int, 
3.15/3.39	                            app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                              times_times(int), r), v))), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          times_times(int), 
3.15/3.39	                          app_encode_app(int, int, 
3.15/3.39	                            app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                              plus_plus(int), one_one(int)), 
3.15/3.39	                            app_encode_app(nat, int, semiring_1_of_nat(int), 
3.15/3.39	                              n))), 
3.15/3.39	                        app_encode_app(int, int, 
3.15/3.39	                          app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                            times_times(int), sa), w)))), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      times_times(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          plus_plus(int), one_one(int)), 
3.15/3.39	                        app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                    m1))), 
3.15/3.39	              app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                app_encode_app(int, int, bit0, 
3.15/3.39	                  app_encode_app(int, int, bit1, pls))))), 
3.15/3.39	          app_encode_app(nat, int, 
3.15/3.39	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  minus_minus(int), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      times_times(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          plus_plus(int), one_one(int)), 
3.15/3.39	                        app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), r), w))), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        plus_plus(int), one_one(int)), 
3.15/3.39	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      times_times(int), sa), v)))), 
3.15/3.39	            app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	              app_encode_app(int, int, bit0, 
3.15/3.39	                app_encode_app(int, int, bit1, pls))))),
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.15/3.39	tff(zf_stmt_104, axiom,
3.15/3.39	  (![Z2:int,Z1:int,W:int]:
3.15/3.39	     (app_encode_app(int,int,
3.15/3.39	                     app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                    times_times(int),W),
3.15/3.39	                     app_encode_app(int,int,
3.15/3.39	                                    app_encode_app(int,
3.15/3.39	                                                   app_encode_fun(int,int),
3.15/3.39	                                                   plus_plus(int),Z1),
3.15/3.39	                                    Z2)) =
3.15/3.39	      app_encode_app(int,int,
3.15/3.39	                     app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                    plus_plus(int),
3.15/3.39	                                    app_encode_app(int,int,
3.15/3.39	                                                   app_encode_app(int,
3.15/3.39	                                                                  app_encode_fun(
3.15/3.39	                                                                  int,int),
3.15/3.39	                                                                  times_times(
3.15/3.39	                                                                  int),W),
3.15/3.39	                                                   Z1)),
3.15/3.39	                     app_encode_app(int,int,
3.15/3.39	                                    app_encode_app(int,
3.15/3.39	                                                   app_encode_fun(int,int),
3.15/3.39	                                                   times_times(int),W),
3.15/3.39	                                    Z2))))).
3.15/3.39	tff('1', plain,
3.15/3.39	    ![X143 : int, X144 : int, X145 : int]:
3.15/3.39	      app_encode_app(int, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X143), 
3.15/3.39	        app_encode_app(int, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X144), 
3.15/3.39	          X145))
3.15/3.39	       = app_encode_app(int, int, 
3.15/3.39	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	             app_encode_app(int, int, 
3.15/3.39	               app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                 times_times(int), X143), X144)), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	               X143), X145)),
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_104])).
3.15/3.39	tff(zf_stmt_100, axiom,
3.15/3.39	  (![K:int]:
3.15/3.39	     (app_encode_app(int,int,
3.15/3.39	                     app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                    plus_plus(int),K),
3.15/3.39	                     pls) =
3.15/3.39	      K))).
3.15/3.39	tff('2', plain,
3.15/3.39	    ![X137 : int]:
3.15/3.39	      app_encode_app(int, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X137), 
3.15/3.39	        pls)
3.15/3.39	       = X137,
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_100])).
3.15/3.39	tff(zf_stmt_113, axiom,
3.15/3.39	  (![K:int]:
3.15/3.39	     (app_encode_app(int,int,bit1,K) =
3.15/3.39	      app_encode_app(int,int,
3.15/3.39	                     app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                    plus_plus(int),
3.15/3.39	                                    app_encode_app(int,int,
3.15/3.39	                                                   app_encode_app(int,
3.15/3.39	                                                                  app_encode_fun(
3.15/3.39	                                                                  int,int),
3.15/3.39	                                                                  plus_plus(
3.15/3.39	                                                                  int),
3.15/3.39	                                                                  one_one(
3.15/3.39	                                                                  int)),
3.15/3.39	                                                   K)),
3.15/3.39	                     K)))).
3.15/3.39	tff('3', plain,
3.15/3.39	    ![X166 : int]:
3.15/3.39	      app_encode_app(int, int, bit1, X166)
3.15/3.39	       = app_encode_app(int, int, 
3.15/3.39	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	             app_encode_app(int, int, 
3.15/3.39	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	                 one_one(int)), X166)), X166),
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_113])).
3.15/3.39	tff('4', plain,
3.15/3.39	    app_encode_app(int, int, bit1, pls)
3.15/3.39	     = app_encode_app(int, int, 
3.15/3.39	         app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	           one_one(int)), pls),
3.15/3.39	    inference('sup+', [status(thm)], ['2', '3'])).
3.15/3.39	tff('5', plain, app_encode_app(int, int, bit1, pls) = one_one(int),
3.15/3.39	    inference('demod', [status(thm)], ['4', '2'])).
3.15/3.39	tff(zf_stmt_107, axiom,
3.15/3.39	  (![Z2:int,Z1:int,W:int]:
3.15/3.39	     (app_encode_app(int,int,
3.15/3.39	                     app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                    times_times(int),W),
3.15/3.39	                     app_encode_app(int,int,
3.15/3.39	                                    app_encode_app(int,
3.15/3.39	                                                   app_encode_fun(int,int),
3.15/3.39	                                                   minus_minus(int),Z1),
3.15/3.39	                                    Z2)) =
3.15/3.39	      app_encode_app(int,int,
3.15/3.39	                     app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                    minus_minus(int),
3.15/3.39	                                    app_encode_app(int,int,
3.15/3.39	                                                   app_encode_app(int,
3.15/3.39	                                                                  app_encode_fun(
3.15/3.39	                                                                  int,int),
3.15/3.39	                                                                  times_times(
3.15/3.39	                                                                  int),W),
3.15/3.39	                                                   Z1)),
3.15/3.39	                     app_encode_app(int,int,
3.15/3.39	                                    app_encode_app(int,
3.15/3.39	                                                   app_encode_fun(int,int),
3.15/3.39	                                                   times_times(int),W),
3.15/3.39	                                    Z2))))).
3.15/3.39	tff('6', plain,
3.15/3.39	    ![X150 : int, X151 : int, X152 : int]:
3.15/3.39	      app_encode_app(int, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(int, int), times_times(int), X150), 
3.15/3.39	        app_encode_app(int, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
3.15/3.39	            X151), X152))
3.15/3.39	       = app_encode_app(int, int, 
3.15/3.39	           app_encode_app(int, app_encode_fun(int, int), minus_minus(int), 
3.15/3.39	             app_encode_app(int, int, 
3.15/3.39	               app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                 times_times(int), X150), X151)), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	               X150), X152)),
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_107])).
3.15/3.39	tff('7', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	            app_encode_app(int, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        plus_plus(int), one_one(int)), 
3.15/3.39	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          times_times(int), r), v)), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), sa), w)))), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  plus_plus(int), 
3.15/3.39	                  app_encode_app(nat, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                      power_power(int), v), 
3.15/3.39	                    app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                      app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	                app_encode_app(nat, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                    power_power(int), w), 
3.15/3.39	                  app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                    app_encode_app(int, int, bit0, one_one(int))))))), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	          app_encode_app(int, int, 
3.15/3.39	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  plus_plus(int), one_one(int)), 
3.15/3.39	                app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	            app_encode_app(int, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                minus_minus(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), r), w)), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  times_times(int), sa), v)))), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, one_one(int)))))
3.15/3.39	     != app_encode_app(int, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	            app_encode_app(nat, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                power_power(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        plus_plus(int), one_one(int)), 
3.15/3.39	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          plus_plus(int), 
3.15/3.39	                          app_encode_app(int, int, 
3.15/3.39	                            app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                              times_times(int), r), v)), 
3.15/3.39	                        app_encode_app(int, int, 
3.15/3.39	                          app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                            times_times(int), sa), w))), m1))), 
3.15/3.39	              app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	          app_encode_app(nat, int, 
3.15/3.39	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  times_times(int), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), one_one(int)), 
3.15/3.39	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    minus_minus(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), r), w)), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      times_times(int), sa), v)))), 
3.15/3.39	            app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	              app_encode_app(int, int, bit0, one_one(int))))),
3.15/3.39	    inference('demod', [status(thm)],
3.15/3.39	              ['0', '1', '5', '5', '5', '6', '5', '1', '1', '5', '6', '5'])).
3.15/3.39	tff(zf_stmt_35, axiom,
3.15/3.39	  (~
3.15/3.39	    (![M1:int]:
3.15/3.39	       (app_encode_app(int,int,
3.15/3.39	                       app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                      plus_plus(int),
3.15/3.39	                                      app_encode_app(nat,int,
3.15/3.39	                                                     app_encode_app(int,
3.15/3.39	                                                                    app_encode_fun(
3.15/3.39	                                                                    nat,int),
3.15/3.39	                                                                    power_power(
3.15/3.39	                                                                    int),v),
3.15/3.39	                                                     app_encode_app(int,nat,
3.15/3.39	                                                                    number_number_of(
3.15/3.39	                                                                    nat),
3.15/3.39	                                                                    app_encode_app(
3.15/3.39	                                                                    int,int,
3.15/3.39	                                                                    bit0,
3.15/3.39	                                                                    app_encode_app(
3.15/3.39	                                                                    int,int,
3.15/3.39	                                                                    bit1,pls))))),
3.15/3.39	                       app_encode_app(nat,int,
3.15/3.39	                                      app_encode_app(int,
3.15/3.39	                                                     app_encode_fun(nat,int),
3.15/3.39	                                                     power_power(int),w),
3.15/3.39	                                      app_encode_app(int,nat,
3.15/3.39	                                                     number_number_of(nat),
3.15/3.39	                                                     app_encode_app(int,int,
3.15/3.39	                                                                    bit0,
3.15/3.39	                                                                    app_encode_app(
3.15/3.39	                                                                    int,int,
3.15/3.39	                                                                    bit1,pls))))) !=
3.15/3.39	        app_encode_app(int,int,
3.15/3.39	                       app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                      times_times(int),
3.15/3.39	                                      app_encode_app(int,int,
3.15/3.39	                                                     app_encode_app(int,
3.15/3.39	                                                                    app_encode_fun(
3.15/3.39	                                                                    int,int),
3.15/3.39	                                                                    plus_plus(
3.15/3.39	                                                                    int),
3.15/3.39	                                                                    one_one(
3.15/3.39	                                                                    int)),
3.15/3.39	                                                     app_encode_app(nat,int,
3.15/3.39	                                                                    semiring_1_of_nat(
3.15/3.39	                                                                    int),n))),
3.15/3.39	                       M1))))).
3.15/3.39	tff('8', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, 
3.15/3.39	              app_encode_app(int, int, bit1, pls))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
3.15/3.39	     = app_encode_app(int, int, 
3.15/3.39	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	               one_one(int)), 
3.15/3.39	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_35])).
3.15/3.39	tff('9', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, one_one(int)))))
3.15/3.39	     = app_encode_app(int, int, 
3.15/3.39	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	               one_one(int)), 
3.15/3.39	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
3.15/3.39	    inference('demod', [status(thm)], ['8', '5', '5'])).
3.15/3.39	tff(zf_stmt_33, axiom,
3.15/3.39	  (app_encode_app(int,int,
3.15/3.39	                  app_encode_app(int,app_encode_fun(int,int),plus_plus(int),
3.15/3.39	                                 app_encode_app(nat,int,
3.15/3.39	                                                app_encode_app(int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               nat,int),
3.15/3.39	                                                               power_power(
3.15/3.39	                                                               int),v),
3.15/3.39	                                                app_encode_app(int,nat,
3.15/3.39	                                                               number_number_of(
3.15/3.39	                                                               nat),
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))),
3.15/3.39	                  app_encode_app(nat,int,
3.15/3.39	                                 app_encode_app(int,app_encode_fun(nat,int),
3.15/3.39	                                                power_power(int),w),
3.15/3.39	                                 app_encode_app(int,nat,
3.15/3.39	                                                number_number_of(nat),
3.15/3.39	                                                app_encode_app(int,int,bit0,
3.15/3.39	                                                               app_encode_app(
3.15/3.39	                                                               int,int,bit1,
3.15/3.39	                                                               pls))))) =
3.15/3.39	   app_encode_app(int,int,
3.15/3.39	                  app_encode_app(int,app_encode_fun(int,int),
3.15/3.39	                                 times_times(int),
3.15/3.39	                                 app_encode_app(int,int,
3.15/3.39	                                                app_encode_app(int,
3.15/3.39	                                                               app_encode_fun(
3.15/3.39	                                                               int,int),
3.15/3.39	                                                               plus_plus(int),
3.15/3.39	                                                               one_one(int)),
3.15/3.39	                                                app_encode_app(nat,int,
3.15/3.39	                                                               semiring_1_of_nat(
3.15/3.39	                                                               int),n))),
3.15/3.39	                  m1))).
3.15/3.39	tff('10', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, 
3.15/3.39	              app_encode_app(int, int, bit1, pls))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))))
3.15/3.39	     = app_encode_app(int, int, 
3.15/3.39	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	               one_one(int)), 
3.15/3.39	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
3.15/3.39	    inference('cnf', [status(esa)], [zf_stmt_33])).
3.15/3.39	tff('11', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	        app_encode_app(int, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	            one_one(int)), 
3.15/3.39	          app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1)
3.15/3.39	     = app_encode_app(int, int, 
3.15/3.39	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	               one_one(int)), 
3.15/3.39	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), sk_M1),
3.15/3.39	    inference('sup+', [status(thm)], ['10', '8'])).
3.15/3.39	tff('12', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), v), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), w), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, one_one(int)))))
3.15/3.39	     = app_encode_app(int, int, 
3.15/3.39	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	           app_encode_app(int, int, 
3.15/3.39	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	               one_one(int)), 
3.15/3.39	             app_encode_app(nat, int, semiring_1_of_nat(int), n))), m1),
3.15/3.39	    inference('demod', [status(thm)], ['9', '11'])).
3.15/3.39	tff('13', plain,
3.15/3.39	    app_encode_app(int, int, 
3.15/3.39	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	        app_encode_app(nat, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	            app_encode_app(int, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                times_times(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    plus_plus(int), one_one(int)), 
3.15/3.39	                  app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  plus_plus(int), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          times_times(int), r), v)), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), sa), w))), m1))), 
3.15/3.39	          app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	            app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	      app_encode_app(nat, int, 
3.15/3.39	        app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	          app_encode_app(int, int, 
3.15/3.39	            app_encode_app(int, app_encode_fun(int, int), times_times(int), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  plus_plus(int), one_one(int)), 
3.15/3.39	                app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	            app_encode_app(int, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                minus_minus(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), r), w)), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  times_times(int), sa), v)))), 
3.15/3.39	        app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	          app_encode_app(int, int, bit0, one_one(int)))))
3.15/3.39	     != app_encode_app(int, int, 
3.15/3.39	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
3.15/3.39	            app_encode_app(nat, int, 
3.15/3.39	              app_encode_app(int, app_encode_fun(nat, int), 
3.15/3.39	                power_power(int), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    times_times(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        plus_plus(int), one_one(int)), 
3.15/3.39	                      app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), 
3.15/3.39	                      app_encode_app(int, int, 
3.15/3.39	                        app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                          plus_plus(int), 
3.15/3.39	                          app_encode_app(int, int, 
3.15/3.39	                            app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                              times_times(int), r), v)), 
3.15/3.39	                        app_encode_app(int, int, 
3.15/3.39	                          app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                            times_times(int), sa), w))), m1))), 
3.15/3.39	              app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	                app_encode_app(int, int, bit0, one_one(int))))), 
3.15/3.39	          app_encode_app(nat, int, 
3.15/3.39	            app_encode_app(int, app_encode_fun(nat, int), power_power(int), 
3.15/3.39	              app_encode_app(int, int, 
3.15/3.39	                app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                  times_times(int), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      plus_plus(int), one_one(int)), 
3.15/3.39	                    app_encode_app(nat, int, semiring_1_of_nat(int), n))), 
3.15/3.39	                app_encode_app(int, int, 
3.15/3.39	                  app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                    minus_minus(int), 
3.15/3.39	                    app_encode_app(int, int, 
3.15/3.39	                      app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                        times_times(int), r), w)), 
3.15/3.39	                  app_encode_app(int, int, 
3.15/3.39	                    app_encode_app(int, app_encode_fun(int, int), 
3.15/3.39	                      times_times(int), sa), v)))), 
3.15/3.39	            app_encode_app(int, nat, number_number_of(nat), 
3.15/3.39	              app_encode_app(int, int, bit0, one_one(int))))),
3.15/3.39	    inference('demod', [status(thm)], ['7', '12', '1'])).
3.15/3.39	tff('14', plain, $false, inference('simplify', [status(thm)], ['13'])).
3.15/3.39	
3.15/3.39	% SZS output end Refutation
3.15/3.39	EOF
