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    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n129.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:28:39 CST 2018
22.49/22.64	% done 1006 iterations in 22.436s
22.49/22.64	% SZS status Theorem for 'stdin'
22.49/22.64	% SZS output start Refutation
22.49/22.64	tff(zf_stmt_56, axiom,
22.49/22.64	  (![M:$tType,T1:ty,
22.49/22.64	     P2:list(product_prod(list(char),
22.49/22.64	                          product_prod(list(char),
22.49/22.64	                                       product_prod(list(product_prod(
22.49/22.64	                                                         list(char),ty)),
22.49/22.64	                                                    list(product_prod(
22.49/22.64	                                                         list(char),
22.49/22.64	                                                         product_prod(
22.49/22.64	                                                         list(ty),
22.49/22.64	                                                         product_prod(ty,M))))))))]:
22.49/22.64	     app_encode_app(ty,$o,
22.49/22.64	                    app_encode_app(ty,app_encode_fun(ty,$o),
22.49/22.64	                                   app_encode_app(list(product_prod(list(
22.49/22.64	                                                                    char),
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    char),
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    char),ty)),
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    char),
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(ty),
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    ty,M)))))))),
22.49/22.64	                                                  app_encode_fun(ty,
22.49/22.64	                                                                 app_encode_fun(
22.49/22.64	                                                                 ty,$o)),
22.49/22.64	                                                  widen(M),P2),
22.49/22.64	                                   T1),
22.49/22.64	                    T1))).
22.49/22.64	tff('0', plain,
22.49/22.64	    ![X8 : $tType, 
22.49/22.64	      X9 : list(product_prod(list(char), 
22.49/22.64	                  product_prod(list(char), 
22.49/22.64	                    product_prod(list(product_prod(list(char), ty)), 
22.49/22.64	                      list(product_prod(list(char), 
22.49/22.64	                             product_prod(list(ty), product_prod(ty, X8)))))))), 
22.49/22.64	      X10 : ty]:
22.49/22.64	      app_encode_app(ty, $o, 
22.49/22.64	        app_encode_app(ty, app_encode_fun(ty, $o), 
22.49/22.64	          app_encode_app(
22.49/22.64	            list(
22.49/22.64	              product_prod(list(char), 
22.49/22.64	                product_prod(list(char), 
22.49/22.64	                  product_prod(list(product_prod(list(char), ty)), 
22.49/22.64	                    list(
22.49/22.64	                      product_prod(list(char), 
22.49/22.64	                        product_prod(list(ty), product_prod(ty, X8)))))))), 
22.49/22.64	            app_encode_fun(ty, app_encode_fun(ty, $o)), widen(X8), X9), X10), 
22.49/22.64	        X10),
22.49/22.64	    inference('cnf', [status(esa)], [zf_stmt_56])).
22.49/22.64	tff(zf_stmt_52, axiom,
22.49/22.64	  (app_encode_app(ty,$o,
22.49/22.64	                  app_encode_app(exp(list(char)),app_encode_fun(ty,$o),
22.49/22.64	                                 app_encode_app(fun(list(char),option(ty)),
22.49/22.64	                                                app_encode_fun(exp(list(char)),
22.49/22.64	                                                               app_encode_fun(
22.49/22.64	                                                               ty,$o)),
22.49/22.64	                                                app_encode_app(fun(nat,
22.49/22.64	                                                                   option(
22.49/22.64	                                                                   product_prod(
22.49/22.64	                                                                   list(char),
22.49/22.64	                                                                   fun(
22.49/22.64	                                                                   product_prod(
22.49/22.64	                                                                   list(char),
22.49/22.64	                                                                   list(char)),
22.49/22.64	                                                                   option(
22.49/22.64	                                                                   val))))),
22.49/22.64	                                                               app_encode_fun(
22.49/22.64	                                                               fun(list(char),
22.49/22.64	                                                                   option(ty)),
22.49/22.64	                                                               app_encode_fun(
22.49/22.64	                                                               exp(list(char)),
22.49/22.64	                                                               app_encode_fun(
22.49/22.64	                                                               ty,$o))),
22.49/22.64	                                                               app_encode_app(
22.49/22.64	                                                               list(product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    char),
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    char),
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    product_prod(
22.49/22.64	                                                                    list(
22.49/22.64	                                                                    char),ty)),
22.49/22.64	                                                                    list(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(ty),
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    ty,
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char))))))))))),
22.49/22.65	                                                               app_encode_fun(
22.49/22.65	                                                               fun(nat,
22.49/22.65	                                                                   option(
22.49/22.65	                                                                   product_prod(
22.49/22.65	                                                                   list(char),
22.49/22.65	                                                                   fun(
22.49/22.65	                                                                   product_prod(
22.49/22.65	                                                                   list(char),
22.49/22.65	                                                                   list(char)),
22.49/22.65	                                                                   option(
22.49/22.65	                                                                   val))))),
22.49/22.65	                                                               app_encode_fun(
22.49/22.65	                                                               fun(list(char),
22.49/22.65	                                                                   option(ty)),
22.49/22.65	                                                               app_encode_fun(
22.49/22.65	                                                               exp(list(char)),
22.49/22.65	                                                               app_encode_fun(
22.49/22.65	                                                               ty,$o)))),
22.49/22.65	                                                               wTrt,p),h_a),
22.49/22.65	                                                e),
22.49/22.65	                                 e_a),
22.49/22.65	                  nt))).
22.49/22.65	tff('1', plain,
22.49/22.65	    app_encode_app(ty, $o, 
22.49/22.65	      app_encode_app(exp(list(char)), app_encode_fun(ty, $o), 
22.49/22.65	        app_encode_app(fun(list(char), option(ty)), 
22.49/22.65	          app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)), 
22.49/22.65	          app_encode_app(
22.49/22.65	            fun(nat, 
22.49/22.65	              option(
22.49/22.65	                product_prod(list(char), 
22.49/22.65	                  fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	            app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	              app_encode_fun(exp(list(char)), app_encode_fun(ty, $o))), 
22.49/22.65	            app_encode_app(
22.49/22.65	              list(
22.49/22.65	                product_prod(list(char), 
22.49/22.65	                  product_prod(list(char), 
22.49/22.65	                    product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                      list(
22.49/22.65	                        product_prod(list(char), 
22.49/22.65	                          product_prod(list(ty), 
22.49/22.65	                            product_prod(ty, 
22.49/22.65	                              product_prod(list(list(char)), exp(list(char))))))))))), 
22.49/22.65	              app_encode_fun(
22.49/22.65	                fun(nat, 
22.49/22.65	                  option(
22.49/22.65	                    product_prod(list(char), 
22.49/22.65	                      fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	                app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                  app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)))), 
22.49/22.65	              wTrt, p), h_a), e), e_a), nt),
22.49/22.65	    inference('cnf', [status(esa)], [zf_stmt_52])).
22.49/22.65	tff(zf_stmt_60, axiom,
22.49/22.65	  (![Ta:ty,Da:list(char),Fa:list(char),Eb:exp(list(char)),
22.49/22.65	     Ea:fun(list(char),option(ty)),
22.49/22.65	     Hb:fun(nat,
22.49/22.65	            option(product_prod(list(char),
22.49/22.65	                                fun(product_prod(list(char),list(char)),
22.49/22.65	                                    option(val))))),
22.49/22.65	     Pa:list(product_prod(list(char),
22.49/22.65	                          product_prod(list(char),
22.49/22.65	                                       product_prod(list(product_prod(
22.49/22.65	                                                         list(char),ty)),
22.49/22.65	                                                    list(product_prod(
22.49/22.65	                                                         list(char),
22.49/22.65	                                                         product_prod(
22.49/22.65	                                                         list(ty),
22.49/22.65	                                                         product_prod(
22.49/22.65	                                                         ty,
22.49/22.65	                                                         product_prod(
22.49/22.65	                                                         list(list(char)),
22.49/22.65	                                                         exp(list(char)))))))))))]:
22.49/22.65	     (app_encode_app(ty,$o,
22.49/22.65	                     app_encode_app(exp(list(char)),app_encode_fun(ty,$o),
22.49/22.65	                                    app_encode_app(fun(list(char),option(ty)),
22.49/22.65	                                                   app_encode_fun(exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)),
22.49/22.65	                                                   app_encode_app(fun(
22.49/22.65	                                                                  nat,
22.49/22.65	                                                                  option(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  option(val))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  option(ty)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o))),
22.49/22.65	                                                                  app_encode_app(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  ty)),
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(ty),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  ty,
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char))))))))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  nat,
22.49/22.65	                                                                  option(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  option(val))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  option(ty)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)))),
22.49/22.65	                                                                  wTrt,Pa),Hb),
22.49/22.65	                                                   Ea),
22.49/22.65	                                    Eb),
22.49/22.65	                     nt) =>
22.49/22.65	      app_encode_app(ty,$o,
22.49/22.65	                     app_encode_app(exp(list(char)),app_encode_fun(ty,$o),
22.49/22.65	                                    app_encode_app(fun(list(char),option(ty)),
22.49/22.65	                                                   app_encode_fun(exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)),
22.49/22.65	                                                   app_encode_app(fun(
22.49/22.65	                                                                  nat,
22.49/22.65	                                                                  option(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  option(val))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  option(ty)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o))),
22.49/22.65	                                                                  app_encode_app(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  ty)),
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(ty),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  ty,
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char))))))))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  nat,
22.49/22.65	                                                                  option(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  option(val))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  option(ty)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)))),
22.49/22.65	                                                                  wTrt,Pa),Hb),
22.49/22.65	                                                   Ea),
22.49/22.65	                                    app_encode_app(list(char),
22.49/22.65	                                                   exp(list(char)),
22.49/22.65	                                                   app_encode_app(list(char),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char))),
22.49/22.65	                                                                  app_encode_app(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)))),
22.49/22.65	                                                                  fAcc(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  Eb),Fa),
22.49/22.65	                                                   Da)),
22.49/22.65	                     Ta)))).
22.49/22.65	tff('2', plain,
22.49/22.65	    ![X12 : list(product_prod(list(char), 
22.49/22.65	                   product_prod(list(char), 
22.49/22.65	                     product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                       list(product_prod(list(char), 
22.49/22.65	                              product_prod(list(ty), 
22.49/22.65	                                product_prod(ty, 
22.49/22.65	                                  product_prod(list(list(char)), 
22.49/22.65	                                    exp(list(char))))))))))), 
22.49/22.65	      X13 : fun(nat, 
22.49/22.65	              option(product_prod(list(char), 
22.49/22.65	                       fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	      X14 : fun(list(char), option(ty)), X15 : exp(list(char)), 
22.49/22.65	      X16 : list(char), X17 : list(char), X18 : ty]:
22.49/22.65	      (app_encode_app(ty, $o, 
22.49/22.65	         app_encode_app(exp(list(char)), app_encode_fun(ty, $o), 
22.49/22.65	           app_encode_app(fun(list(char), option(ty)), 
22.49/22.65	             app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)), 
22.49/22.65	             app_encode_app(
22.49/22.65	               fun(nat, 
22.49/22.65	                 option(
22.49/22.65	                   product_prod(list(char), 
22.49/22.65	                     fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	               app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                 app_encode_fun(exp(list(char)), app_encode_fun(ty, $o))), 
22.49/22.65	               app_encode_app(
22.49/22.65	                 list(
22.49/22.65	                   product_prod(list(char), 
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                         list(
22.49/22.65	                           product_prod(list(char), 
22.49/22.65	                             product_prod(list(ty), 
22.49/22.65	                               product_prod(ty, 
22.49/22.65	                                 product_prod(list(list(char)), 
22.49/22.65	                                   exp(list(char))))))))))), 
22.49/22.65	                 app_encode_fun(
22.49/22.65	                   fun(nat, 
22.49/22.65	                     option(
22.49/22.65	                       product_prod(list(char), 
22.49/22.65	                         fun(product_prod(list(char), list(char)), 
22.49/22.65	                           option(val))))), 
22.49/22.65	                   app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                     app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)))), 
22.49/22.65	                 wTrt, X12), X13), X14), 
22.49/22.65	           app_encode_app(list(char), exp(list(char)), 
22.49/22.65	             app_encode_app(list(char), 
22.49/22.65	               app_encode_fun(list(char), exp(list(char))), 
22.49/22.65	               app_encode_app(exp(list(char)), 
22.49/22.65	                 app_encode_fun(list(char), 
22.49/22.65	                   app_encode_fun(list(char), exp(list(char)))), 
22.49/22.65	                 fAcc(list(char)), X15), X16), X17)), X18)
22.49/22.65	       | ~ app_encode_app(ty, $o, 
22.49/22.65	             app_encode_app(exp(list(char)), app_encode_fun(ty, $o), 
22.49/22.65	               app_encode_app(fun(list(char), option(ty)), 
22.49/22.65	                 app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)), 
22.49/22.65	                 app_encode_app(
22.49/22.65	                   fun(nat, 
22.49/22.65	                     option(
22.49/22.65	                       product_prod(list(char), 
22.49/22.65	                         fun(product_prod(list(char), list(char)), 
22.49/22.65	                           option(val))))), 
22.49/22.65	                   app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                     app_encode_fun(exp(list(char)), app_encode_fun(ty, $o))), 
22.49/22.65	                   app_encode_app(
22.49/22.65	                     list(
22.49/22.65	                       product_prod(list(char), 
22.49/22.65	                         product_prod(list(char), 
22.49/22.65	                           product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                             list(
22.49/22.65	                               product_prod(list(char), 
22.49/22.65	                                 product_prod(list(ty), 
22.49/22.65	                                   product_prod(ty, 
22.49/22.65	                                     product_prod(list(list(char)), 
22.49/22.65	                                       exp(list(char))))))))))), 
22.49/22.65	                     app_encode_fun(
22.49/22.65	                       fun(nat, 
22.49/22.65	                         option(
22.49/22.65	                           product_prod(list(char), 
22.49/22.65	                             fun(product_prod(list(char), list(char)), 
22.49/22.65	                               option(val))))), 
22.49/22.65	                       app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                         app_encode_fun(exp(list(char)), 
22.49/22.65	                           app_encode_fun(ty, $o)))), wTrt, X12), X13), X14), 
22.49/22.65	               X15), nt)),
22.49/22.65	    inference('cnf', [status(esa)], [zf_stmt_60])).
22.49/22.65	tff('3', plain,
22.49/22.65	    ![X0 : ty, X1 : list(char), X2 : list(char)]:
22.49/22.65	      (~ $true
22.49/22.65	       | app_encode_app(ty, $o, 
22.49/22.65	           app_encode_app(exp(list(char)), app_encode_fun(ty, $o), 
22.49/22.65	             app_encode_app(fun(list(char), option(ty)), 
22.49/22.65	               app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)), 
22.49/22.65	               app_encode_app(
22.49/22.65	                 fun(nat, 
22.49/22.65	                   option(
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	                 app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                   app_encode_fun(exp(list(char)), app_encode_fun(ty, $o))), 
22.49/22.65	                 app_encode_app(
22.49/22.65	                   list(
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       product_prod(list(char), 
22.49/22.65	                         product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                           list(
22.49/22.65	                             product_prod(list(char), 
22.49/22.65	                               product_prod(list(ty), 
22.49/22.65	                                 product_prod(ty, 
22.49/22.65	                                   product_prod(list(list(char)), 
22.49/22.65	                                     exp(list(char))))))))))), 
22.49/22.65	                   app_encode_fun(
22.49/22.65	                     fun(nat, 
22.49/22.65	                       option(
22.49/22.65	                         product_prod(list(char), 
22.49/22.65	                           fun(product_prod(list(char), list(char)), 
22.49/22.65	                             option(val))))), 
22.49/22.65	                     app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                       app_encode_fun(exp(list(char)), 
22.49/22.65	                         app_encode_fun(ty, $o)))), wTrt, p), h_a), e), 
22.49/22.65	             app_encode_app(list(char), exp(list(char)), 
22.49/22.65	               app_encode_app(list(char), 
22.49/22.65	                 app_encode_fun(list(char), exp(list(char))), 
22.49/22.65	                 app_encode_app(exp(list(char)), 
22.49/22.65	                   app_encode_fun(list(char), 
22.49/22.65	                     app_encode_fun(list(char), exp(list(char)))), 
22.49/22.65	                   fAcc(list(char)), e_a), X2), X1)), X0)),
22.49/22.65	    inference('sup-', [status(thm)], ['1', '2'])).
22.49/22.65	tff('4', plain,
22.49/22.65	    ![X0 : ty, X1 : list(char), X2 : list(char)]:
22.49/22.65	      app_encode_app(ty, $o, 
22.49/22.65	        app_encode_app(exp(list(char)), app_encode_fun(ty, $o), 
22.49/22.65	          app_encode_app(fun(list(char), option(ty)), 
22.49/22.65	            app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)), 
22.49/22.65	            app_encode_app(
22.49/22.65	              fun(nat, 
22.49/22.65	                option(
22.49/22.65	                  product_prod(list(char), 
22.49/22.65	                    fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	              app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                app_encode_fun(exp(list(char)), app_encode_fun(ty, $o))), 
22.49/22.65	              app_encode_app(
22.49/22.65	                list(
22.49/22.65	                  product_prod(list(char), 
22.49/22.65	                    product_prod(list(char), 
22.49/22.65	                      product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                        list(
22.49/22.65	                          product_prod(list(char), 
22.49/22.65	                            product_prod(list(ty), 
22.49/22.65	                              product_prod(ty, 
22.49/22.65	                                product_prod(list(list(char)), 
22.49/22.65	                                  exp(list(char))))))))))), 
22.49/22.65	                app_encode_fun(
22.49/22.65	                  fun(nat, 
22.49/22.65	                    option(
22.49/22.65	                      product_prod(list(char), 
22.49/22.65	                        fun(product_prod(list(char), list(char)), 
22.49/22.65	                          option(val))))), 
22.49/22.65	                  app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                    app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)))), 
22.49/22.65	                wTrt, p), h_a), e), 
22.49/22.65	          app_encode_app(list(char), exp(list(char)), 
22.49/22.65	            app_encode_app(list(char), 
22.49/22.65	              app_encode_fun(list(char), exp(list(char))), 
22.49/22.65	              app_encode_app(exp(list(char)), 
22.49/22.65	                app_encode_fun(list(char), 
22.49/22.65	                  app_encode_fun(list(char), exp(list(char)))), 
22.49/22.65	                fAcc(list(char)), e_a), X2), X1)), X0),
22.49/22.65	    inference('simplify', [status(thm)], ['3'])).
22.49/22.65	tff(zf_stmt_154, conjecture,
22.49/22.65	  (?[T:ty]:
22.49/22.65	     (app_encode_app(ty,$o,
22.49/22.65	                     app_encode_app(exp(list(char)),app_encode_fun(ty,$o),
22.49/22.65	                                    app_encode_app(fun(list(char),option(ty)),
22.49/22.65	                                                   app_encode_fun(exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)),
22.49/22.65	                                                   app_encode_app(fun(
22.49/22.65	                                                                  nat,
22.49/22.65	                                                                  option(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  option(val))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  option(ty)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o))),
22.49/22.65	                                                                  app_encode_app(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  ty)),
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(ty),
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  ty,
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char))))))))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  nat,
22.49/22.65	                                                                  option(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  product_prod(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  option(val))))),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  option(ty)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)))),
22.49/22.65	                                                                  wTrt,p),h_a),
22.49/22.65	                                                   e),
22.49/22.65	                                    app_encode_app(list(char),
22.49/22.65	                                                   exp(list(char)),
22.49/22.65	                                                   app_encode_app(list(char),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char))),
22.49/22.65	                                                                  app_encode_app(
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  list(char),
22.49/22.65	                                                                  exp(
22.49/22.65	                                                                  list(char)))),
22.49/22.65	                                                                  fAcc(
22.49/22.65	                                                                  list(char)),
22.49/22.65	                                                                  e_a),f),
22.49/22.65	                                                   d)),
22.49/22.65	                     T) & 
22.49/22.65	      app_encode_app(ty,$o,
22.49/22.65	                     app_encode_app(ty,app_encode_fun(ty,$o),
22.49/22.65	                                    app_encode_app(list(product_prod(
22.49/22.65	                                                        list(char),
22.49/22.65	                                                        product_prod(
22.49/22.65	                                                        list(char),
22.49/22.65	                                                        product_prod(
22.49/22.65	                                                        list(product_prod(
22.49/22.65	                                                             list(char),ty)),
22.49/22.65	                                                        list(product_prod(
22.49/22.65	                                                             list(char),
22.49/22.65	                                                             product_prod(
22.49/22.65	                                                             list(ty),
22.49/22.65	                                                             product_prod(
22.49/22.65	                                                             ty,
22.49/22.65	                                                             product_prod(
22.49/22.65	                                                             list(list(char)),
22.49/22.65	                                                             exp(list(char))))))))))),
22.49/22.65	                                                   app_encode_fun(ty,
22.49/22.65	                                                                  app_encode_fun(
22.49/22.65	                                                                  ty,$o)),
22.49/22.65	                                                   widen(product_prod(
22.49/22.65	                                                         list(list(char)),
22.49/22.65	                                                         exp(list(char)))),
22.49/22.65	                                                   p),
22.49/22.65	                                    T),
22.49/22.65	                     t)))).
22.49/22.65	tff(zf_stmt_0, negated_conjecture,
22.49/22.65	  (~
22.49/22.65	    (?[T:ty]:
22.49/22.65	       (app_encode_app(ty,$o,
22.49/22.65	                       app_encode_app(exp(list(char)),app_encode_fun(ty,$o),
22.49/22.65	                                      app_encode_app(fun(list(char),
22.49/22.65	                                                         option(ty)),
22.49/22.65	                                                     app_encode_fun(exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    ty,$o)),
22.49/22.65	                                                     app_encode_app(fun(
22.49/22.65	                                                                    nat,
22.49/22.65	                                                                    option(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    fun(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    option(
22.49/22.65	                                                                    val))))),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    fun(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    option(
22.49/22.65	                                                                    ty)),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    ty,$o))),
22.49/22.65	                                                                    app_encode_app(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),ty)),
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(ty),
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    ty,
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char))))))))))),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    fun(
22.49/22.65	                                                                    nat,
22.49/22.65	                                                                    option(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    fun(
22.49/22.65	                                                                    product_prod(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    option(
22.49/22.65	                                                                    val))))),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    fun(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    option(
22.49/22.65	                                                                    ty)),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    ty,$o)))),
22.49/22.65	                                                                    wTrt,p),
22.49/22.65	                                                                    h_a),
22.49/22.65	                                                     e),
22.49/22.65	                                      app_encode_app(list(char),
22.49/22.65	                                                     exp(list(char)),
22.49/22.65	                                                     app_encode_app(list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char))),
22.49/22.65	                                                                    app_encode_app(
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char),
22.49/22.65	                                                                    exp(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)))),
22.49/22.65	                                                                    fAcc(
22.49/22.65	                                                                    list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                                    e_a),f),
22.49/22.65	                                                     d)),
22.49/22.65	                       T) & 
22.49/22.65	        app_encode_app(ty,$o,
22.49/22.65	                       app_encode_app(ty,app_encode_fun(ty,$o),
22.49/22.65	                                      app_encode_app(list(product_prod(
22.49/22.65	                                                          list(char),
22.49/22.65	                                                          product_prod(
22.49/22.65	                                                          list(char),
22.49/22.65	                                                          product_prod(
22.49/22.65	                                                          list(product_prod(
22.49/22.65	                                                               list(char),ty)),
22.49/22.65	                                                          list(product_prod(
22.49/22.65	                                                               list(char),
22.49/22.65	                                                               product_prod(
22.49/22.65	                                                               list(ty),
22.49/22.65	                                                               product_prod(
22.49/22.65	                                                               ty,
22.49/22.65	                                                               product_prod(
22.49/22.65	                                                               list(list(
22.49/22.65	                                                                    char)),
22.49/22.65	                                                               exp(list(char))))))))))),
22.49/22.65	                                                     app_encode_fun(ty,
22.49/22.65	                                                                    app_encode_fun(
22.49/22.65	                                                                    ty,$o)),
22.49/22.65	                                                     widen(product_prod(
22.49/22.65	                                                           list(list(char)),
22.49/22.65	                                                           exp(list(char)))),
22.49/22.65	                                                     p),
22.49/22.65	                                      T),
22.49/22.65	                       t))))).
22.49/22.65	tff('5', plain,
22.49/22.65	    ![X497 : ty]:
22.49/22.65	      (~ app_encode_app(ty, $o, 
22.49/22.65	           app_encode_app(exp(list(char)), app_encode_fun(ty, $o), 
22.49/22.65	             app_encode_app(fun(list(char), option(ty)), 
22.49/22.65	               app_encode_fun(exp(list(char)), app_encode_fun(ty, $o)), 
22.49/22.65	               app_encode_app(
22.49/22.65	                 fun(nat, 
22.49/22.65	                   option(
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       fun(product_prod(list(char), list(char)), option(val))))), 
22.49/22.65	                 app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                   app_encode_fun(exp(list(char)), app_encode_fun(ty, $o))), 
22.49/22.65	                 app_encode_app(
22.49/22.65	                   list(
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       product_prod(list(char), 
22.49/22.65	                         product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                           list(
22.49/22.65	                             product_prod(list(char), 
22.49/22.65	                               product_prod(list(ty), 
22.49/22.65	                                 product_prod(ty, 
22.49/22.65	                                   product_prod(list(list(char)), 
22.49/22.65	                                     exp(list(char))))))))))), 
22.49/22.65	                   app_encode_fun(
22.49/22.65	                     fun(nat, 
22.49/22.65	                       option(
22.49/22.65	                         product_prod(list(char), 
22.49/22.65	                           fun(product_prod(list(char), list(char)), 
22.49/22.65	                             option(val))))), 
22.49/22.65	                     app_encode_fun(fun(list(char), option(ty)), 
22.49/22.65	                       app_encode_fun(exp(list(char)), 
22.49/22.65	                         app_encode_fun(ty, $o)))), wTrt, p), h_a), e), 
22.49/22.65	             app_encode_app(list(char), exp(list(char)), 
22.49/22.65	               app_encode_app(list(char), 
22.49/22.65	                 app_encode_fun(list(char), exp(list(char))), 
22.49/22.65	                 app_encode_app(exp(list(char)), 
22.49/22.65	                   app_encode_fun(list(char), 
22.49/22.65	                     app_encode_fun(list(char), exp(list(char)))), 
22.49/22.65	                   fAcc(list(char)), e_a), f), d)), X497)
22.49/22.65	       | ~ app_encode_app(ty, $o, 
22.49/22.65	             app_encode_app(ty, app_encode_fun(ty, $o), 
22.49/22.65	               app_encode_app(
22.49/22.65	                 list(
22.49/22.65	                   product_prod(list(char), 
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                         list(
22.49/22.65	                           product_prod(list(char), 
22.49/22.65	                             product_prod(list(ty), 
22.49/22.65	                               product_prod(ty, 
22.49/22.65	                                 product_prod(list(list(char)), 
22.49/22.65	                                   exp(list(char))))))))))), 
22.49/22.65	                 app_encode_fun(ty, app_encode_fun(ty, $o)), 
22.49/22.65	                 widen(product_prod(list(list(char)), exp(list(char)))), p), 
22.49/22.65	               X497), t)),
22.49/22.65	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.49/22.65	tff('6', plain,
22.49/22.65	    ![X0 : ty]:
22.49/22.65	      (~ $true
22.49/22.65	       | ~ app_encode_app(ty, $o, 
22.49/22.65	             app_encode_app(ty, app_encode_fun(ty, $o), 
22.49/22.65	               app_encode_app(
22.49/22.65	                 list(
22.49/22.65	                   product_prod(list(char), 
22.49/22.65	                     product_prod(list(char), 
22.49/22.65	                       product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                         list(
22.49/22.65	                           product_prod(list(char), 
22.49/22.65	                             product_prod(list(ty), 
22.49/22.65	                               product_prod(ty, 
22.49/22.65	                                 product_prod(list(list(char)), 
22.49/22.65	                                   exp(list(char))))))))))), 
22.49/22.65	                 app_encode_fun(ty, app_encode_fun(ty, $o)), 
22.49/22.65	                 widen(product_prod(list(list(char)), exp(list(char)))), p), 
22.49/22.65	               X0), t)),
22.49/22.65	    inference('sup-', [status(thm)], ['4', '5'])).
22.49/22.65	tff('7', plain,
22.49/22.65	    ![X0 : ty]:
22.49/22.65	      ~ app_encode_app(ty, $o, 
22.49/22.65	          app_encode_app(ty, app_encode_fun(ty, $o), 
22.49/22.65	            app_encode_app(
22.49/22.65	              list(
22.49/22.65	                product_prod(list(char), 
22.49/22.65	                  product_prod(list(char), 
22.49/22.65	                    product_prod(list(product_prod(list(char), ty)), 
22.49/22.65	                      list(
22.49/22.65	                        product_prod(list(char), 
22.49/22.65	                          product_prod(list(ty), 
22.49/22.65	                            product_prod(ty, 
22.49/22.65	                              product_prod(list(list(char)), exp(list(char))))))))))), 
22.49/22.65	              app_encode_fun(ty, app_encode_fun(ty, $o)), 
22.49/22.65	              widen(product_prod(list(list(char)), exp(list(char)))), p), X0), 
22.49/22.65	          t),
22.49/22.65	    inference('simplify', [status(thm)], ['6'])).
22.49/22.65	tff('8', plain, ~ $true, inference('sup-', [status(thm)], ['0', '7'])).
22.49/22.65	tff('9', plain, $false, inference('simplify', [status(thm)], ['8'])).
22.49/22.65	
22.49/22.65	% SZS output end Refutation
22.49/22.65	EOF
