0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n110.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 13:37:39 CST 2018
0.79/1.01	% done 406 iterations in 0.809s
0.79/1.01	% SZS status Theorem for 'stdin'
0.79/1.01	% SZS output start Refutation
0.79/1.01	tff(zf_stmt_336, axiom,
0.79/1.01	  (app_encode_app(bool,$o,hBOOL,
0.79/1.01	                  app_encode_app(fun_Pr1639951081t_bool,bool,
0.79/1.01	                                 app_encode_app(fun_fu383145951l_bool,
0.79/1.01	                                                app_encode_fun(fun_Pr1639951081t_bool,
0.79/1.01	                                                               bool),
0.79/1.01	                                                hAPP_f1944886577l_bool,
0.79/1.01	                                                app_encode_app(produc624534567le_alt,
0.79/1.01	                                                               fun_fu383145951l_bool,
0.79/1.01	                                                               member1484933012le_alt,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               produc624534567le_alt,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               produc624534567le_alt),
0.79/1.01	                                                               produc170576535le_alt,
0.79/1.01	                                                               c),d))),
0.79/1.01	                                 app_encode_app(fun_Ar2047178847t_bool,
0.79/1.01	                                                fun_Pr1639951081t_bool,
0.79/1.01	                                                app_encode_app(fun_fu50365883t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Pr1639951081t_bool),
0.79/1.01	                                                               hAPP_f718157575t_bool,
0.79/1.01	                                                               f),
0.79/1.01	                                                p))) <=>
0.79/1.01	   app_encode_app(bool,$o,hBOOL,
0.79/1.01	                  app_encode_app(fun_Pr1639951081t_bool,bool,
0.79/1.01	                                 app_encode_app(fun_fu383145951l_bool,
0.79/1.01	                                                app_encode_fun(fun_Pr1639951081t_bool,
0.79/1.01	                                                               bool),
0.79/1.01	                                                hAPP_f1944886577l_bool,
0.79/1.01	                                                app_encode_app(produc624534567le_alt,
0.79/1.01	                                                               fun_fu383145951l_bool,
0.79/1.01	                                                               member1484933012le_alt,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               produc624534567le_alt,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               produc624534567le_alt),
0.79/1.01	                                                               produc170576535le_alt,
0.79/1.01	                                                               c),d))),
0.79/1.01	                                 app_encode_app(fun_Ar2047178847t_bool,
0.79/1.01	                                                fun_Pr1639951081t_bool,
0.79/1.01	                                                app_encode_app(fun_fu50365883t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Pr1639951081t_bool),
0.79/1.01	                                                               hAPP_f718157575t_bool,
0.79/1.01	                                                               f),
0.79/1.01	                                                app_encode_app(fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2040671475t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2047178847t_bool),
0.79/1.01	                                                               cOMBS_1688227464t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2040671475t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2100459655t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2040671475t_bool),
0.79/1.01	                                                               cOMBS_1833320732t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar1871347069i_bool,
0.79/1.01	                                                               fun_Ar2100459655t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_bo292969573t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar1871347069i_bool,
0.79/1.01	                                                               fun_Ar2100459655t_bool),
0.79/1.01	                                                               cOMBB_124649523e_indi,
0.79/1.01	                                                               if_fun95824985t_bool),
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               nat,
0.79/1.01	                                                               fun_Ar1871347069i_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar156616864t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               nat,
0.79/1.01	                                                               fun_Ar1871347069i_bool),
0.79/1.01	                                                               cOMBC_998415407t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2035712896di_nat,
0.79/1.01	                                                               fun_Ar156616864t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_nat_fun_nat_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2035712896di_nat,
0.79/1.01	                                                               fun_Ar156616864t_bool),
0.79/1.01	                                                               cOMBB_1514803447e_indi,
0.79/1.01	                                                               ord_less_nat),
0.79/1.01	                                                               h)),n))),
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar1757019876t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar2047178847t_bool),
0.79/1.01	                                                               cOMBC_377836265t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar1757019876t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_fu1760369922t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar1757019876t_bool),
0.79/1.01	                                                               cOMBB_1932856316e_indi,
0.79/1.01	                                                               arrow_1275257820_mktop),
0.79/1.01	                                                               p)),e))),
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2040671475t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2047178847t_bool),
0.79/1.01	                                                               cOMBS_1688227464t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2040671475t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2100459655t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2040671475t_bool),
0.79/1.01	                                                               cOMBS_1833320732t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar1871347069i_bool,
0.79/1.01	                                                               fun_Ar2100459655t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_bo292969573t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar1871347069i_bool,
0.79/1.01	                                                               fun_Ar2100459655t_bool),
0.79/1.01	                                                               cOMBB_124649523e_indi,
0.79/1.01	                                                               if_fun95824985t_bool),
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               nat,
0.79/1.01	                                                               fun_Ar1871347069i_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar156616864t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               nat,
0.79/1.01	                                                               fun_Ar1871347069i_bool),
0.79/1.01	                                                               cOMBC_998415407t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2035712896di_nat,
0.79/1.01	                                                               fun_Ar156616864t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_nat_fun_nat_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2035712896di_nat,
0.79/1.01	                                                               fun_Ar156616864t_bool),
0.79/1.01	                                                               cOMBB_1514803447e_indi,
0.79/1.01	                                                               fequal_nat),h)),
0.79/1.01	                                                               n))),
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar1757019876t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar2047178847t_bool),
0.79/1.01	                                                               cOMBC_377836265t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar1757019876t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2079322857t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar1757019876t_bool),
0.79/1.01	                                                               cOMBC_1994570734t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2079322857t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_fu193278215t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar2079322857t_bool),
0.79/1.01	                                                               cOMBB_715840641e_indi,
0.79/1.01	                                                               arrow_2009189698_above),
0.79/1.01	                                                               p)),c)),e))),
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar1757019876t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               fun_Ar2047178847t_bool),
0.79/1.01	                                                               cOMBC_377836265t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar1757019876t_bool,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               fun_fu1760369922t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Ar1757019876t_bool),
0.79/1.01	                                                               cOMBB_1932856316e_indi,
0.79/1.01	                                                               arrow_1126550734_mkbot),
0.79/1.01	                                                               p)),e)))))))).
0.79/1.01	tff('0', plain,
0.79/1.01	    (app_encode_app(bool, $o, hBOOL, 
0.79/1.01	       app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.01	         app_encode_app(fun_fu383145951l_bool, 
0.79/1.01	           app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.01	           hAPP_f1944886577l_bool, 
0.79/1.01	           app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.01	             member1484933012le_alt, 
0.79/1.01	             app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.01	               app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                 app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                   produc624534567le_alt), produc170576535le_alt, c), d))), 
0.79/1.01	         app_encode_app(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool, 
0.79/1.01	           app_encode_app(fun_fu50365883t_bool, 
0.79/1.01	             app_encode_fun(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool), 
0.79/1.01	             hAPP_f718157575t_bool, f), p)))
0.79/1.01	     | ~ app_encode_app(bool, $o, hBOOL, 
0.79/1.01	           app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.01	             app_encode_app(fun_fu383145951l_bool, 
0.79/1.01	               app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.01	               hAPP_f1944886577l_bool, 
0.79/1.01	               app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.01	                 member1484933012le_alt, 
0.79/1.01	                 app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                   produc624534567le_alt, 
0.79/1.01	                   app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                     app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                       produc624534567le_alt), produc170576535le_alt, c), d))), 
0.79/1.01	             app_encode_app(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool, 
0.79/1.01	               app_encode_app(fun_fu50365883t_bool, 
0.79/1.01	                 app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                   fun_Pr1639951081t_bool), hAPP_f718157575t_bool, f), 
0.79/1.01	               app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                 fun_Ar2047178847t_bool, 
0.79/1.01	                 app_encode_app(fun_Ar2040671475t_bool, 
0.79/1.01	                   app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                     fun_Ar2047178847t_bool), cOMBS_1688227464t_bool, 
0.79/1.01	                   app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                     fun_Ar2040671475t_bool, 
0.79/1.01	                     app_encode_app(fun_Ar2100459655t_bool, 
0.79/1.01	                       app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                         fun_Ar2040671475t_bool), cOMBS_1833320732t_bool, 
0.79/1.01	                       app_encode_app(fun_Ar1871347069i_bool, 
0.79/1.01	                         fun_Ar2100459655t_bool, 
0.79/1.01	                         app_encode_app(fun_bo292969573t_bool, 
0.79/1.01	                           app_encode_fun(fun_Ar1871347069i_bool, 
0.79/1.01	                             fun_Ar2100459655t_bool), cOMBB_124649523e_indi, 
0.79/1.01	                           if_fun95824985t_bool), 
0.79/1.01	                         app_encode_app(nat, fun_Ar1871347069i_bool, 
0.79/1.01	                           app_encode_app(fun_Ar156616864t_bool, 
0.79/1.01	                             app_encode_fun(nat, fun_Ar1871347069i_bool), 
0.79/1.01	                             cOMBC_998415407t_bool, 
0.79/1.01	                             app_encode_app(fun_Ar2035712896di_nat, 
0.79/1.01	                               fun_Ar156616864t_bool, 
0.79/1.01	                               app_encode_app(fun_nat_fun_nat_bool, 
0.79/1.01	                                 app_encode_fun(fun_Ar2035712896di_nat, 
0.79/1.01	                                   fun_Ar156616864t_bool), 
0.79/1.01	                                 cOMBB_1514803447e_indi, ord_less_nat), h)), 
0.79/1.01	                           n))), 
0.79/1.01	                     app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                       fun_Ar2047178847t_bool, 
0.79/1.01	                       app_encode_app(fun_Ar1757019876t_bool, 
0.79/1.01	                         app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                           fun_Ar2047178847t_bool), cOMBC_377836265t_bool, 
0.79/1.01	                         app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                           fun_Ar1757019876t_bool, 
0.79/1.01	                           app_encode_app(fun_fu1760369922t_bool, 
0.79/1.01	                             app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                               fun_Ar1757019876t_bool), 
0.79/1.01	                             cOMBB_1932856316e_indi, arrow_1275257820_mktop), 
0.79/1.01	                           p)), e))), 
0.79/1.01	                 app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                   fun_Ar2047178847t_bool, 
0.79/1.01	                   app_encode_app(fun_Ar2040671475t_bool, 
0.79/1.01	                     app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                       fun_Ar2047178847t_bool), cOMBS_1688227464t_bool, 
0.79/1.01	                     app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                       fun_Ar2040671475t_bool, 
0.79/1.01	                       app_encode_app(fun_Ar2100459655t_bool, 
0.79/1.01	                         app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                           fun_Ar2040671475t_bool), cOMBS_1833320732t_bool, 
0.79/1.01	                         app_encode_app(fun_Ar1871347069i_bool, 
0.79/1.01	                           fun_Ar2100459655t_bool, 
0.79/1.01	                           app_encode_app(fun_bo292969573t_bool, 
0.79/1.01	                             app_encode_fun(fun_Ar1871347069i_bool, 
0.79/1.01	                               fun_Ar2100459655t_bool), 
0.79/1.01	                             cOMBB_124649523e_indi, if_fun95824985t_bool), 
0.79/1.01	                           app_encode_app(nat, fun_Ar1871347069i_bool, 
0.79/1.01	                             app_encode_app(fun_Ar156616864t_bool, 
0.79/1.01	                               app_encode_fun(nat, fun_Ar1871347069i_bool), 
0.79/1.01	                               cOMBC_998415407t_bool, 
0.79/1.01	                               app_encode_app(fun_Ar2035712896di_nat, 
0.79/1.01	                                 fun_Ar156616864t_bool, 
0.79/1.01	                                 app_encode_app(fun_nat_fun_nat_bool, 
0.79/1.01	                                   app_encode_fun(fun_Ar2035712896di_nat, 
0.79/1.01	                                     fun_Ar156616864t_bool), 
0.79/1.01	                                   cOMBB_1514803447e_indi, fequal_nat), h)), 
0.79/1.01	                             n))), 
0.79/1.01	                       app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                         fun_Ar2047178847t_bool, 
0.79/1.01	                         app_encode_app(fun_Ar1757019876t_bool, 
0.79/1.01	                           app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                             fun_Ar2047178847t_bool), cOMBC_377836265t_bool, 
0.79/1.01	                           app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                             fun_Ar1757019876t_bool, 
0.79/1.01	                             app_encode_app(fun_Ar2079322857t_bool, 
0.79/1.01	                               app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                                 fun_Ar1757019876t_bool), 
0.79/1.01	                               cOMBC_1994570734t_bool, 
0.79/1.01	                               app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                                 fun_Ar2079322857t_bool, 
0.79/1.01	                                 app_encode_app(fun_fu193278215t_bool, 
0.79/1.01	                                   app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                                     fun_Ar2079322857t_bool), 
0.79/1.01	                                   cOMBB_715840641e_indi, 
0.79/1.01	                                   arrow_2009189698_above), p)), c)), e))), 
0.79/1.01	                   app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                     fun_Ar2047178847t_bool, 
0.79/1.01	                     app_encode_app(fun_Ar1757019876t_bool, 
0.79/1.01	                       app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                         fun_Ar2047178847t_bool), cOMBC_377836265t_bool, 
0.79/1.01	                       app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.01	                         fun_Ar1757019876t_bool, 
0.79/1.01	                         app_encode_app(fun_fu1760369922t_bool, 
0.79/1.01	                           app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.01	                             fun_Ar1757019876t_bool), 
0.79/1.01	                           cOMBB_1932856316e_indi, arrow_1126550734_mkbot), 
0.79/1.01	                         p)), e))))))),
0.79/1.01	    inference('cnf', [status(esa)], [zf_stmt_336])).
0.79/1.01	tff(zf_stmt_521, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
0.79/1.01	tff('1', plain, ![X538 : bool]: (X538 = fTrue | X538 = fFalse),
0.79/1.01	    inference('cnf', [status(esa)], [zf_stmt_521])).
0.79/1.01	tff(zf_stmt_520, axiom, (app_encode_app(bool,$o,hBOOL,fTrue))).
0.79/1.01	tff('2', plain, app_encode_app(bool, $o, hBOOL, fTrue),
0.79/1.01	    inference('cnf', [status(esa)], [zf_stmt_520])).
0.79/1.01	tff('3', plain,
0.79/1.01	    ![X0 : bool]: (app_encode_app(bool, $o, hBOOL, X0) | X0 = fFalse),
0.79/1.01	    inference('sup+', [status(thm)], ['1', '2'])).
0.79/1.01	tff(zf_stmt_560, conjecture,
0.79/1.01	  (app_encode_app(bool,$o,hBOOL,
0.79/1.01	                  app_encode_app(fun_Pr1639951081t_bool,bool,
0.79/1.01	                                 app_encode_app(fun_fu383145951l_bool,
0.79/1.01	                                                app_encode_fun(fun_Pr1639951081t_bool,
0.79/1.01	                                                               bool),
0.79/1.01	                                                hAPP_f1944886577l_bool,
0.79/1.01	                                                app_encode_app(produc624534567le_alt,
0.79/1.01	                                                               fun_fu383145951l_bool,
0.79/1.01	                                                               member1484933012le_alt,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               produc624534567le_alt,
0.79/1.01	                                                               app_encode_app(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               arrow_1621810872le_alt,
0.79/1.01	                                                               produc624534567le_alt),
0.79/1.01	                                                               produc170576535le_alt,
0.79/1.01	                                                               c),d))),
0.79/1.01	                                 app_encode_app(fun_Ar2047178847t_bool,
0.79/1.01	                                                fun_Pr1639951081t_bool,
0.79/1.01	                                                app_encode_app(fun_fu50365883t_bool,
0.79/1.01	                                                               app_encode_fun(
0.79/1.01	                                                               fun_Ar2047178847t_bool,
0.79/1.01	                                                               fun_Pr1639951081t_bool),
0.79/1.01	                                                               hAPP_f718157575t_bool,
0.79/1.01	                                                               f),
0.79/1.01	                                                p))))).
0.79/1.01	tff(zf_stmt_0, negated_conjecture,
0.79/1.01	  (~
0.79/1.01	    app_encode_app(bool,$o,hBOOL,
0.79/1.01	                   app_encode_app(fun_Pr1639951081t_bool,bool,
0.79/1.01	                                  app_encode_app(fun_fu383145951l_bool,
0.79/1.01	                                                 app_encode_fun(fun_Pr1639951081t_bool,
0.79/1.01	                                                                bool),
0.79/1.01	                                                 hAPP_f1944886577l_bool,
0.79/1.01	                                                 app_encode_app(produc624534567le_alt,
0.79/1.01	                                                                fun_fu383145951l_bool,
0.79/1.01	                                                                member1484933012le_alt,
0.79/1.01	                                                                app_encode_app(
0.79/1.01	                                                                arrow_1621810872le_alt,
0.79/1.01	                                                                produc624534567le_alt,
0.79/1.01	                                                                app_encode_app(
0.79/1.01	                                                                arrow_1621810872le_alt,
0.79/1.01	                                                                app_encode_fun(
0.79/1.01	                                                                arrow_1621810872le_alt,
0.79/1.01	                                                                produc624534567le_alt),
0.79/1.01	                                                                produc170576535le_alt,
0.79/1.01	                                                                c),d))),
0.79/1.01	                                  app_encode_app(fun_Ar2047178847t_bool,
0.79/1.01	                                                 fun_Pr1639951081t_bool,
0.79/1.01	                                                 app_encode_app(fun_fu50365883t_bool,
0.79/1.01	                                                                app_encode_fun(
0.79/1.01	                                                                fun_Ar2047178847t_bool,
0.79/1.01	                                                                fun_Pr1639951081t_bool),
0.79/1.01	                                                                hAPP_f718157575t_bool,
0.79/1.01	                                                                f),
0.79/1.01	                                                 p))))).
0.79/1.01	tff('4', plain,
0.79/1.01	    ~ app_encode_app(bool, $o, hBOOL, 
0.79/1.01	        app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.01	          app_encode_app(fun_fu383145951l_bool, 
0.79/1.01	            app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.01	            hAPP_f1944886577l_bool, 
0.79/1.01	            app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.01	              member1484933012le_alt, 
0.79/1.01	              app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.01	                app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                  app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                    produc624534567le_alt), produc170576535le_alt, c), d))), 
0.79/1.01	          app_encode_app(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool, 
0.79/1.01	            app_encode_app(fun_fu50365883t_bool, 
0.79/1.01	              app_encode_fun(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool), 
0.79/1.01	              hAPP_f718157575t_bool, f), p))),
0.79/1.01	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.79/1.01	tff('5', plain,
0.79/1.01	    (~ $true
0.79/1.01	     | app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.01	         app_encode_app(fun_fu383145951l_bool, 
0.79/1.01	           app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.01	           hAPP_f1944886577l_bool, 
0.79/1.01	           app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.01	             member1484933012le_alt, 
0.79/1.01	             app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.01	               app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	                 app_encode_fun(arrow_1621810872le_alt, 
0.79/1.01	                   produc624534567le_alt), produc170576535le_alt, c), d))), 
0.79/1.01	         app_encode_app(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool, 
0.79/1.01	           app_encode_app(fun_fu50365883t_bool, 
0.79/1.01	             app_encode_fun(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool), 
0.79/1.01	             hAPP_f718157575t_bool, f), p))
0.79/1.01	        = fFalse),
0.79/1.01	    inference('sup-', [status(thm)], ['3', '4'])).
0.79/1.01	tff('6', plain,
0.79/1.01	    app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.01	      app_encode_app(fun_fu383145951l_bool, 
0.79/1.01	        app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.01	        hAPP_f1944886577l_bool, 
0.79/1.01	        app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.01	          member1484933012le_alt, 
0.79/1.01	          app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.01	            app_encode_app(arrow_1621810872le_alt, 
0.79/1.01	              app_encode_fun(arrow_1621810872le_alt, produc624534567le_alt), 
0.79/1.01	              produc170576535le_alt, c), d))), 
0.79/1.01	      app_encode_app(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool, 
0.79/1.01	        app_encode_app(fun_fu50365883t_bool, 
0.79/1.01	          app_encode_fun(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool), 
0.79/1.01	          hAPP_f718157575t_bool, f), p))
0.79/1.01	     = fFalse,
0.79/1.01	    inference('simplify', [status(thm)], ['5'])).
0.79/1.01	tff(zf_stmt_335, axiom,
0.79/1.01	  (app_encode_app(bool,$o,hBOOL,
0.79/1.01	                  app_encode_app(fun_Pr1639951081t_bool,bool,
0.79/1.01	                                 app_encode_app(fun_fu383145951l_bool,
0.79/1.01	                                                app_encode_fun(fun_Pr1639951081t_bool,
0.79/1.02	                                                               bool),
0.79/1.02	                                                hAPP_f1944886577l_bool,
0.79/1.02	                                                app_encode_app(produc624534567le_alt,
0.79/1.02	                                                               fun_fu383145951l_bool,
0.79/1.02	                                                               member1484933012le_alt,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               produc624534567le_alt,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               produc624534567le_alt),
0.79/1.02	                                                               produc170576535le_alt,
0.79/1.02	                                                               c),d))),
0.79/1.02	                                 app_encode_app(fun_Ar2047178847t_bool,
0.79/1.02	                                                fun_Pr1639951081t_bool,
0.79/1.02	                                                app_encode_app(fun_fu50365883t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Pr1639951081t_bool),
0.79/1.02	                                                               hAPP_f718157575t_bool,
0.79/1.02	                                                               f),
0.79/1.02	                                                app_encode_app(fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2040671475t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2047178847t_bool),
0.79/1.02	                                                               cOMBS_1688227464t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2040671475t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2100459655t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2040671475t_bool),
0.79/1.02	                                                               cOMBS_1833320732t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar1871347069i_bool,
0.79/1.02	                                                               fun_Ar2100459655t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_bo292969573t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar1871347069i_bool,
0.79/1.02	                                                               fun_Ar2100459655t_bool),
0.79/1.02	                                                               cOMBB_124649523e_indi,
0.79/1.02	                                                               if_fun95824985t_bool),
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               nat,
0.79/1.02	                                                               fun_Ar1871347069i_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar156616864t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               nat,
0.79/1.02	                                                               fun_Ar1871347069i_bool),
0.79/1.02	                                                               cOMBC_998415407t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2035712896di_nat,
0.79/1.02	                                                               fun_Ar156616864t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_nat_fun_nat_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2035712896di_nat,
0.79/1.02	                                                               fun_Ar156616864t_bool),
0.79/1.02	                                                               cOMBB_1514803447e_indi,
0.79/1.02	                                                               ord_less_nat),
0.79/1.02	                                                               h)),n))),
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar1757019876t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar2047178847t_bool),
0.79/1.02	                                                               cOMBC_377836265t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar1757019876t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_fu1760369922t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar1757019876t_bool),
0.79/1.02	                                                               cOMBB_1932856316e_indi,
0.79/1.02	                                                               arrow_1275257820_mktop),
0.79/1.02	                                                               p)),e))),
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2040671475t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2047178847t_bool),
0.79/1.02	                                                               cOMBS_1688227464t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2040671475t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2100459655t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2040671475t_bool),
0.79/1.02	                                                               cOMBS_1833320732t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar1871347069i_bool,
0.79/1.02	                                                               fun_Ar2100459655t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_bo292969573t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar1871347069i_bool,
0.79/1.02	                                                               fun_Ar2100459655t_bool),
0.79/1.02	                                                               cOMBB_124649523e_indi,
0.79/1.02	                                                               if_fun95824985t_bool),
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               nat,
0.79/1.02	                                                               fun_Ar1871347069i_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar156616864t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               nat,
0.79/1.02	                                                               fun_Ar1871347069i_bool),
0.79/1.02	                                                               cOMBC_998415407t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2035712896di_nat,
0.79/1.02	                                                               fun_Ar156616864t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_nat_fun_nat_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2035712896di_nat,
0.79/1.02	                                                               fun_Ar156616864t_bool),
0.79/1.02	                                                               cOMBB_1514803447e_indi,
0.79/1.02	                                                               fequal_nat),h)),
0.79/1.02	                                                               n))),
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar1757019876t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar2047178847t_bool),
0.79/1.02	                                                               cOMBC_377836265t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar1757019876t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2079322857t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar1757019876t_bool),
0.79/1.02	                                                               cOMBC_1994570734t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2079322857t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_fu193278215t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar2079322857t_bool),
0.79/1.02	                                                               cOMBB_715840641e_indi,
0.79/1.02	                                                               arrow_2009189698_above),
0.79/1.02	                                                               p)),c)),e))),
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar1757019876t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               arrow_1621810872le_alt,
0.79/1.02	                                                               fun_Ar2047178847t_bool),
0.79/1.02	                                                               cOMBC_377836265t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar1757019876t_bool,
0.79/1.02	                                                               app_encode_app(
0.79/1.02	                                                               fun_fu1760369922t_bool,
0.79/1.02	                                                               app_encode_fun(
0.79/1.02	                                                               fun_Ar2047178847t_bool,
0.79/1.02	                                                               fun_Ar1757019876t_bool),
0.79/1.02	                                                               cOMBB_1932856316e_indi,
0.79/1.02	                                                               arrow_1126550734_mkbot),
0.79/1.02	                                                               p)),e)))))))).
0.79/1.02	tff('7', plain,
0.79/1.02	    app_encode_app(bool, $o, hBOOL, 
0.79/1.02	      app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.02	        app_encode_app(fun_fu383145951l_bool, 
0.79/1.02	          app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.02	          hAPP_f1944886577l_bool, 
0.79/1.02	          app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.02	            member1484933012le_alt, 
0.79/1.02	            app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.02	              app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	                app_encode_fun(arrow_1621810872le_alt, produc624534567le_alt), 
0.79/1.02	                produc170576535le_alt, c), d))), 
0.79/1.02	        app_encode_app(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool, 
0.79/1.02	          app_encode_app(fun_fu50365883t_bool, 
0.79/1.02	            app_encode_fun(fun_Ar2047178847t_bool, fun_Pr1639951081t_bool), 
0.79/1.02	            hAPP_f718157575t_bool, f), 
0.79/1.02	          app_encode_app(fun_Ar2047178847t_bool, fun_Ar2047178847t_bool, 
0.79/1.02	            app_encode_app(fun_Ar2040671475t_bool, 
0.79/1.02	              app_encode_fun(fun_Ar2047178847t_bool, fun_Ar2047178847t_bool), 
0.79/1.02	              cOMBS_1688227464t_bool, 
0.79/1.02	              app_encode_app(fun_Ar2047178847t_bool, fun_Ar2040671475t_bool, 
0.79/1.02	                app_encode_app(fun_Ar2100459655t_bool, 
0.79/1.02	                  app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.02	                    fun_Ar2040671475t_bool), cOMBS_1833320732t_bool, 
0.79/1.02	                  app_encode_app(fun_Ar1871347069i_bool, 
0.79/1.02	                    fun_Ar2100459655t_bool, 
0.79/1.02	                    app_encode_app(fun_bo292969573t_bool, 
0.79/1.02	                      app_encode_fun(fun_Ar1871347069i_bool, 
0.79/1.02	                        fun_Ar2100459655t_bool), cOMBB_124649523e_indi, 
0.79/1.02	                      if_fun95824985t_bool), 
0.79/1.02	                    app_encode_app(nat, fun_Ar1871347069i_bool, 
0.79/1.02	                      app_encode_app(fun_Ar156616864t_bool, 
0.79/1.02	                        app_encode_fun(nat, fun_Ar1871347069i_bool), 
0.79/1.02	                        cOMBC_998415407t_bool, 
0.79/1.02	                        app_encode_app(fun_Ar2035712896di_nat, 
0.79/1.02	                          fun_Ar156616864t_bool, 
0.79/1.02	                          app_encode_app(fun_nat_fun_nat_bool, 
0.79/1.02	                            app_encode_fun(fun_Ar2035712896di_nat, 
0.79/1.02	                              fun_Ar156616864t_bool), 
0.79/1.02	                            cOMBB_1514803447e_indi, ord_less_nat), h)), n))), 
0.79/1.02	                app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	                  fun_Ar2047178847t_bool, 
0.79/1.02	                  app_encode_app(fun_Ar1757019876t_bool, 
0.79/1.02	                    app_encode_fun(arrow_1621810872le_alt, 
0.79/1.02	                      fun_Ar2047178847t_bool), cOMBC_377836265t_bool, 
0.79/1.02	                    app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.02	                      fun_Ar1757019876t_bool, 
0.79/1.02	                      app_encode_app(fun_fu1760369922t_bool, 
0.79/1.02	                        app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.02	                          fun_Ar1757019876t_bool), cOMBB_1932856316e_indi, 
0.79/1.02	                        arrow_1275257820_mktop), p)), e))), 
0.79/1.02	            app_encode_app(fun_Ar2047178847t_bool, fun_Ar2047178847t_bool, 
0.79/1.02	              app_encode_app(fun_Ar2040671475t_bool, 
0.79/1.02	                app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.02	                  fun_Ar2047178847t_bool), cOMBS_1688227464t_bool, 
0.79/1.02	                app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.02	                  fun_Ar2040671475t_bool, 
0.79/1.02	                  app_encode_app(fun_Ar2100459655t_bool, 
0.79/1.02	                    app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.02	                      fun_Ar2040671475t_bool), cOMBS_1833320732t_bool, 
0.79/1.02	                    app_encode_app(fun_Ar1871347069i_bool, 
0.79/1.02	                      fun_Ar2100459655t_bool, 
0.79/1.02	                      app_encode_app(fun_bo292969573t_bool, 
0.79/1.02	                        app_encode_fun(fun_Ar1871347069i_bool, 
0.79/1.02	                          fun_Ar2100459655t_bool), cOMBB_124649523e_indi, 
0.79/1.02	                        if_fun95824985t_bool), 
0.79/1.02	                      app_encode_app(nat, fun_Ar1871347069i_bool, 
0.79/1.02	                        app_encode_app(fun_Ar156616864t_bool, 
0.79/1.02	                          app_encode_fun(nat, fun_Ar1871347069i_bool), 
0.79/1.02	                          cOMBC_998415407t_bool, 
0.79/1.02	                          app_encode_app(fun_Ar2035712896di_nat, 
0.79/1.02	                            fun_Ar156616864t_bool, 
0.79/1.02	                            app_encode_app(fun_nat_fun_nat_bool, 
0.79/1.02	                              app_encode_fun(fun_Ar2035712896di_nat, 
0.79/1.02	                                fun_Ar156616864t_bool), 
0.79/1.02	                              cOMBB_1514803447e_indi, fequal_nat), h)), n))), 
0.79/1.02	                  app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	                    fun_Ar2047178847t_bool, 
0.79/1.02	                    app_encode_app(fun_Ar1757019876t_bool, 
0.79/1.02	                      app_encode_fun(arrow_1621810872le_alt, 
0.79/1.02	                        fun_Ar2047178847t_bool), cOMBC_377836265t_bool, 
0.79/1.02	                      app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	                        fun_Ar1757019876t_bool, 
0.79/1.02	                        app_encode_app(fun_Ar2079322857t_bool, 
0.79/1.02	                          app_encode_fun(arrow_1621810872le_alt, 
0.79/1.02	                            fun_Ar1757019876t_bool), cOMBC_1994570734t_bool, 
0.79/1.02	                          app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.02	                            fun_Ar2079322857t_bool, 
0.79/1.02	                            app_encode_app(fun_fu193278215t_bool, 
0.79/1.02	                              app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.02	                                fun_Ar2079322857t_bool), 
0.79/1.02	                              cOMBB_715840641e_indi, arrow_2009189698_above), 
0.79/1.02	                            p)), c)), e))), 
0.79/1.02	              app_encode_app(arrow_1621810872le_alt, fun_Ar2047178847t_bool, 
0.79/1.02	                app_encode_app(fun_Ar1757019876t_bool, 
0.79/1.02	                  app_encode_fun(arrow_1621810872le_alt, 
0.79/1.02	                    fun_Ar2047178847t_bool), cOMBC_377836265t_bool, 
0.79/1.02	                  app_encode_app(fun_Ar2047178847t_bool, 
0.79/1.02	                    fun_Ar1757019876t_bool, 
0.79/1.02	                    app_encode_app(fun_fu1760369922t_bool, 
0.79/1.02	                      app_encode_fun(fun_Ar2047178847t_bool, 
0.79/1.02	                        fun_Ar1757019876t_bool), cOMBB_1932856316e_indi, 
0.79/1.02	                      arrow_1126550734_mkbot), p)), e)))))),
0.79/1.02	    inference('cnf', [status(esa)], [zf_stmt_335])).
0.79/1.02	tff('8', plain, (app_encode_app(bool, $o, hBOOL, fFalse) | ~ $true),
0.79/1.02	    inference('demod', [status(thm)], ['0', '6', '7'])).
0.79/1.02	tff('9', plain, app_encode_app(bool, $o, hBOOL, fFalse),
0.79/1.02	    inference('simplify', [status(thm)], ['8'])).
0.79/1.02	tff(zf_stmt_518, axiom,
0.79/1.02	  (~
0.79/1.02	    app_encode_app(bool,$o,hBOOL,
0.79/1.02	                   app_encode_app(fun_Pr1639951081t_bool,bool,
0.79/1.02	                                  app_encode_app(fun_fu383145951l_bool,
0.79/1.02	                                                 app_encode_fun(fun_Pr1639951081t_bool,
0.79/1.02	                                                                bool),
0.79/1.02	                                                 hAPP_f1944886577l_bool,
0.79/1.02	                                                 app_encode_app(produc624534567le_alt,
0.79/1.02	                                                                fun_fu383145951l_bool,
0.79/1.02	                                                                member1484933012le_alt,
0.79/1.02	                                                                app_encode_app(
0.79/1.02	                                                                arrow_1621810872le_alt,
0.79/1.02	                                                                produc624534567le_alt,
0.79/1.02	                                                                app_encode_app(
0.79/1.02	                                                                arrow_1621810872le_alt,
0.79/1.02	                                                                app_encode_fun(
0.79/1.02	                                                                arrow_1621810872le_alt,
0.79/1.02	                                                                produc624534567le_alt),
0.79/1.02	                                                                produc170576535le_alt,
0.79/1.02	                                                                a),b))),
0.79/1.02	                                  lba)))).
0.79/1.02	tff('10', plain,
0.79/1.02	    ~ app_encode_app(bool, $o, hBOOL, 
0.79/1.02	        app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.02	          app_encode_app(fun_fu383145951l_bool, 
0.79/1.02	            app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.02	            hAPP_f1944886577l_bool, 
0.79/1.02	            app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.02	              member1484933012le_alt, 
0.79/1.02	              app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.02	                app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	                  app_encode_fun(arrow_1621810872le_alt, 
0.79/1.02	                    produc624534567le_alt), produc170576535le_alt, a), b))), 
0.79/1.02	          lba)),
0.79/1.02	    inference('cnf', [status(esa)], [zf_stmt_518])).
0.79/1.02	tff('11', plain,
0.79/1.02	    (~ $true
0.79/1.02	     | app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.02	         app_encode_app(fun_fu383145951l_bool, 
0.79/1.02	           app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.02	           hAPP_f1944886577l_bool, 
0.79/1.02	           app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.02	             member1484933012le_alt, 
0.79/1.02	             app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.02	               app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	                 app_encode_fun(arrow_1621810872le_alt, 
0.79/1.02	                   produc624534567le_alt), produc170576535le_alt, a), b))), 
0.79/1.02	         lba)
0.79/1.02	        = fFalse),
0.79/1.02	    inference('sup-', [status(thm)], ['3', '10'])).
0.79/1.02	tff('12', plain,
0.79/1.02	    app_encode_app(fun_Pr1639951081t_bool, bool, 
0.79/1.02	      app_encode_app(fun_fu383145951l_bool, 
0.79/1.02	        app_encode_fun(fun_Pr1639951081t_bool, bool), 
0.79/1.02	        hAPP_f1944886577l_bool, 
0.79/1.02	        app_encode_app(produc624534567le_alt, fun_fu383145951l_bool, 
0.79/1.02	          member1484933012le_alt, 
0.79/1.02	          app_encode_app(arrow_1621810872le_alt, produc624534567le_alt, 
0.79/1.02	            app_encode_app(arrow_1621810872le_alt, 
0.79/1.02	              app_encode_fun(arrow_1621810872le_alt, produc624534567le_alt), 
0.79/1.02	              produc170576535le_alt, a), b))), lba)
0.79/1.02	     = fFalse,
0.79/1.02	    inference('simplify', [status(thm)], ['11'])).
0.79/1.02	tff('13', plain, ~ app_encode_app(bool, $o, hBOOL, fFalse),
0.79/1.02	    inference('demod', [status(thm)], ['10', '12'])).
0.79/1.02	tff('14', plain, ~ $true, inference('sup-', [status(thm)], ['9', '13'])).
0.79/1.02	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
0.79/1.02	
0.79/1.02	% SZS output end Refutation
0.79/1.02	EOF
