0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n115.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:35:08 CST 2018
51.26/51.44	% done 2928 iterations in 51.235s
51.26/51.44	% SZS status Theorem for 'stdin'
51.26/51.44	% SZS output start Refutation
51.26/51.44	tff(zf_stmt_170, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
51.26/51.44	tff('0', plain, ~ app_encode_app(bool, $o, pp, fFalse),
51.26/51.44	    inference('cnf', [status(esa)], [zf_stmt_170])).
51.26/51.44	tff(zf_stmt_178, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
51.26/51.44	tff('1', plain, ![X361 : bool]: (X361 = fTrue | X361 = fFalse),
51.26/51.44	    inference('cnf', [status(esa)], [zf_stmt_178])).
51.26/51.44	tff(zf_stmt_66, axiom,
51.26/51.44	  (app_encode_app(bool,$o,pp,
51.26/51.44	                  app_encode_app(atom,bool,
51.26/51.44	                                 app_encode_app(fun(int,
51.26/51.44	                                                    fun(int,
51.26/51.44	                                                        fun(list(int),bool))),
51.26/51.44	                                                app_encode_fun(atom,bool),
51.26/51.44	                                                app_encode_app(fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               atom,bool)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               atom,bool))),
51.26/51.44	                                                               atom_case(
51.26/51.44	                                                               bool),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               aa(fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool),
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool))),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               int)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               bool,
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(bool,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               bool,
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               aa(bool,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               bool,list(int))),
51.26/51.44	                                                               fFalse))),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)))),
51.26/51.44	                                                               aa(fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)),
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)))),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               int)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               aa(fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool),
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool))),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               int)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               bool,
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(bool,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               bool,
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               aa(bool,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               bool,list(int))),
51.26/51.44	                                                               fTrue)))),
51.26/51.44	                                                app_encode_app(fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)))),
51.26/51.44	                                                               aa(fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)),
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)))),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               int)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               fun(int,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool))),
51.26/51.44	                                                               aa(fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool),
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  int,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool))),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               int)),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               bool,
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool),
51.26/51.44	                                                               app_encode_app(
51.26/51.44	                                                               fun(bool,
51.26/51.44	                                                                   fun(
51.26/51.44	                                                                   list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               app_encode_fun(
51.26/51.44	                                                               bool,
51.26/51.44	                                                               fun(list(int),
51.26/51.44	                                                                   bool)),
51.26/51.44	                                                               aa(bool,
51.26/51.44	                                                                  fun(
51.26/51.44	                                                                  list(int),
51.26/51.44	                                                                  bool)),
51.26/51.44	                                                               combk(
51.26/51.44	                                                               bool,list(int))),
51.26/51.44	                                                               fTrue)))),
51.26/51.44	                                 a)))).
51.26/51.44	tff('2', plain,
51.26/51.44	    app_encode_app(bool, $o, pp, 
51.26/51.44	      app_encode_app(atom, bool, 
51.26/51.44	        app_encode_app(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	          app_encode_fun(atom, bool), 
51.26/51.44	          app_encode_app(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	            app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	              app_encode_fun(atom, bool)), 
51.26/51.44	            app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	              app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	                app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	                  app_encode_fun(atom, bool))), atom_case(bool), 
51.26/51.44	              app_encode_app(fun(list(int), bool), 
51.26/51.44	                fun(int, fun(list(int), bool)), 
51.26/51.44	                app_encode_app(
51.26/51.44	                  fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                  app_encode_fun(fun(list(int), bool), 
51.26/51.44	                    fun(int, fun(list(int), bool))), 
51.26/51.44	                  aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                  combk(fun(list(int), bool), int)), 
51.26/51.44	                app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                  app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                    app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                    aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                  fFalse))), 
51.26/51.44	            app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	              fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	              app_encode_app(
51.26/51.44	                fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                  fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	                app_encode_fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                  fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	                aa(fun(int, fun(list(int), bool)), 
51.26/51.44	                  fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	                combk(fun(int, fun(list(int), bool)), int)), 
51.26/51.44	              app_encode_app(fun(list(int), bool), 
51.26/51.44	                fun(int, fun(list(int), bool)), 
51.26/51.44	                app_encode_app(
51.26/51.44	                  fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                  app_encode_fun(fun(list(int), bool), 
51.26/51.44	                    fun(int, fun(list(int), bool))), 
51.26/51.44	                  aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                  combk(fun(list(int), bool), int)), 
51.26/51.44	                app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                  app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                    app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                    aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                  fTrue)))), 
51.26/51.44	          app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	            fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	            app_encode_app(
51.26/51.44	              fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	              app_encode_fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	              aa(fun(int, fun(list(int), bool)), 
51.26/51.44	                fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	              combk(fun(int, fun(list(int), bool)), int)), 
51.26/51.44	            app_encode_app(fun(list(int), bool), 
51.26/51.44	              fun(int, fun(list(int), bool)), 
51.26/51.44	              app_encode_app(
51.26/51.44	                fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                app_encode_fun(fun(list(int), bool), 
51.26/51.44	                  fun(int, fun(list(int), bool))), 
51.26/51.44	                aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                combk(fun(list(int), bool), int)), 
51.26/51.44	              app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                  app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                  aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                fTrue)))), a)),
51.26/51.44	    inference('cnf', [status(esa)], [zf_stmt_66])).
51.26/51.44	tff('3', plain,
51.26/51.44	    (app_encode_app(bool, $o, pp, fFalse)
51.26/51.44	     | app_encode_app(atom, bool, 
51.26/51.44	         app_encode_app(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	           app_encode_fun(atom, bool), 
51.26/51.44	           app_encode_app(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	             app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	               app_encode_fun(atom, bool)), 
51.26/51.44	             app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	               app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	                 app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	                   app_encode_fun(atom, bool))), atom_case(bool), 
51.26/51.44	               app_encode_app(fun(list(int), bool), 
51.26/51.44	                 fun(int, fun(list(int), bool)), 
51.26/51.44	                 app_encode_app(
51.26/51.44	                   fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                   app_encode_fun(fun(list(int), bool), 
51.26/51.44	                     fun(int, fun(list(int), bool))), 
51.26/51.44	                   aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                   combk(fun(list(int), bool), int)), 
51.26/51.44	                 app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                   app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                     app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                     aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                   fFalse))), 
51.26/51.44	             app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	               fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	               app_encode_app(
51.26/51.44	                 fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                   fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	                 app_encode_fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                   fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	                 aa(fun(int, fun(list(int), bool)), 
51.26/51.44	                   fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	                 combk(fun(int, fun(list(int), bool)), int)), 
51.26/51.44	               app_encode_app(fun(list(int), bool), 
51.26/51.44	                 fun(int, fun(list(int), bool)), 
51.26/51.44	                 app_encode_app(
51.26/51.44	                   fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                   app_encode_fun(fun(list(int), bool), 
51.26/51.44	                     fun(int, fun(list(int), bool))), 
51.26/51.44	                   aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                   combk(fun(list(int), bool), int)), 
51.26/51.44	                 app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                   app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                     app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                     aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                   fTrue)))), 
51.26/51.44	           app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	             fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	             app_encode_app(
51.26/51.44	               fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                 fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	               app_encode_fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                 fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	               aa(fun(int, fun(list(int), bool)), 
51.26/51.44	                 fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	               combk(fun(int, fun(list(int), bool)), int)), 
51.26/51.44	             app_encode_app(fun(list(int), bool), 
51.26/51.44	               fun(int, fun(list(int), bool)), 
51.26/51.44	               app_encode_app(
51.26/51.44	                 fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                 app_encode_fun(fun(list(int), bool), 
51.26/51.44	                   fun(int, fun(list(int), bool))), 
51.26/51.44	                 aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                 combk(fun(list(int), bool), int)), 
51.26/51.44	               app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                 app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                   app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                   aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                 fTrue)))), a)
51.26/51.44	        = fTrue),
51.26/51.44	    inference('sup+', [status(thm)], ['1', '2'])).
51.26/51.44	tff('4', plain,
51.26/51.44	    app_encode_app(atom, bool, 
51.26/51.44	      app_encode_app(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	        app_encode_fun(atom, bool), 
51.26/51.44	        app_encode_app(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	          app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	            app_encode_fun(atom, bool)), 
51.26/51.44	          app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	            app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	              app_encode_fun(fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	                app_encode_fun(atom, bool))), atom_case(bool), 
51.26/51.44	            app_encode_app(fun(list(int), bool), 
51.26/51.44	              fun(int, fun(list(int), bool)), 
51.26/51.44	              app_encode_app(
51.26/51.44	                fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                app_encode_fun(fun(list(int), bool), 
51.26/51.44	                  fun(int, fun(list(int), bool))), 
51.26/51.44	                aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                combk(fun(list(int), bool), int)), 
51.26/51.44	              app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                  app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                  aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                fFalse))), 
51.26/51.44	          app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	            fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	            app_encode_app(
51.26/51.44	              fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	              app_encode_fun(fun(int, fun(list(int), bool)), 
51.26/51.44	                fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	              aa(fun(int, fun(list(int), bool)), 
51.26/51.44	                fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	              combk(fun(int, fun(list(int), bool)), int)), 
51.26/51.44	            app_encode_app(fun(list(int), bool), 
51.26/51.44	              fun(int, fun(list(int), bool)), 
51.26/51.44	              app_encode_app(
51.26/51.44	                fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                app_encode_fun(fun(list(int), bool), 
51.26/51.44	                  fun(int, fun(list(int), bool))), 
51.26/51.44	                aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	                combk(fun(list(int), bool), int)), 
51.26/51.44	              app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	                app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                  app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                  aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	                fTrue)))), 
51.26/51.44	        app_encode_app(fun(int, fun(list(int), bool)), 
51.26/51.44	          fun(int, fun(int, fun(list(int), bool))), 
51.26/51.44	          app_encode_app(
51.26/51.44	            fun(fun(int, fun(list(int), bool)), 
51.26/51.44	              fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	            app_encode_fun(fun(int, fun(list(int), bool)), 
51.26/51.44	              fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	            aa(fun(int, fun(list(int), bool)), 
51.26/51.44	              fun(int, fun(int, fun(list(int), bool)))), 
51.26/51.44	            combk(fun(int, fun(list(int), bool)), int)), 
51.26/51.44	          app_encode_app(fun(list(int), bool), 
51.26/51.44	            fun(int, fun(list(int), bool)), 
51.26/51.44	            app_encode_app(
51.26/51.44	              fun(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	              app_encode_fun(fun(list(int), bool), 
51.26/51.44	                fun(int, fun(list(int), bool))), 
51.26/51.44	              aa(fun(list(int), bool), fun(int, fun(list(int), bool))), 
51.26/51.44	              combk(fun(list(int), bool), int)), 
51.26/51.44	            app_encode_app(bool, fun(list(int), bool), 
51.26/51.44	              app_encode_app(fun(bool, fun(list(int), bool)), 
51.26/51.44	                app_encode_fun(bool, fun(list(int), bool)), 
51.26/51.44	                aa(bool, fun(list(int), bool)), combk(bool, list(int))), 
51.26/51.44	              fTrue)))), a)
51.26/51.44	     = fTrue,
51.26/51.44	    inference('clc', [status(thm)], ['3', '0'])).
51.26/51.44	tff(zf_stmt_63, axiom,
51.26/51.44	  (a =
51.26/51.44	   app_encode_app(list(int),atom,
51.26/51.44	                  app_encode_app(int,app_encode_fun(list(int),atom),
51.26/51.44	                                 c_PresArith_Oatom_OLe,int1),
51.26/51.45	                  list1))).
51.26/51.45	tff('5', plain,
51.26/51.45	    a
51.26/51.45	     = app_encode_app(list(int), atom, 
51.26/51.45	         app_encode_app(int, app_encode_fun(list(int), atom), 
51.26/51.45	           c_PresArith_Oatom_OLe, int1), list1),
51.26/51.45	    inference('cnf', [status(esa)], [zf_stmt_63])).
51.26/51.45	tff(zf_stmt_79, axiom,
51.26/51.45	  (![A:$tType,Lista:list(int),Inta:int,F3:fun(int,fun(int,fun(list(int),A))),
51.26/51.45	     F2:fun(int,fun(int,fun(list(int),A))),F1:fun(int,fun(list(int),A))]:
51.26/51.45	     (app_encode_app(atom,A,
51.26/51.45	                     app_encode_app(fun(int,fun(int,fun(list(int),A))),
51.26/51.45	                                    app_encode_fun(atom,A),
51.26/51.45	                                    app_encode_app(fun(int,
51.26/51.45	                                                       fun(int,
51.26/51.45	                                                           fun(list(int),A))),
51.26/51.45	                                                   app_encode_fun(fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A))),
51.26/51.45	                                                                  app_encode_fun(
51.26/51.45	                                                                  atom,A)),
51.26/51.45	                                                   app_encode_app(fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A)),
51.26/51.45	                                                                  app_encode_fun(
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A))),
51.26/51.45	                                                                  app_encode_fun(
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A))),
51.26/51.45	                                                                  app_encode_fun(
51.26/51.45	                                                                  atom,A))),
51.26/51.45	                                                                  atom_case(
51.26/51.45	                                                                  A),F1),
51.26/51.45	                                                   F2),
51.26/51.45	                                    F3),
51.26/51.45	                     app_encode_app(list(int),atom,
51.26/51.45	                                    app_encode_app(int,
51.26/51.45	                                                   app_encode_fun(list(int),
51.26/51.45	                                                                  atom),
51.26/51.45	                                                   c_PresArith_Oatom_OLe,Inta),
51.26/51.45	                                    Lista)) =
51.26/51.45	      app_encode_app(list(int),A,
51.26/51.45	                     app_encode_app(fun(list(int),A),
51.26/51.45	                                    app_encode_fun(list(int),A),
51.26/51.45	                                    aa(list(int),A),
51.26/51.45	                                    app_encode_app(int,fun(list(int),A),
51.26/51.45	                                                   app_encode_app(fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A)),
51.26/51.45	                                                                  app_encode_fun(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A)),
51.26/51.45	                                                                  aa(
51.26/51.45	                                                                  int,
51.26/51.45	                                                                  fun(
51.26/51.45	                                                                  list(int),A)),
51.26/51.45	                                                                  F1),
51.26/51.45	                                                   Inta)),
51.26/51.45	                     Lista)))).
51.26/51.45	tff('6', plain,
51.26/51.45	    ![X54 : $tType, X55 : fun(int, fun(list(int), X54)), X56 : int, 
51.26/51.45	      X57 : list(int), X58 : fun(int, fun(int, fun(list(int), X54))), 
51.26/51.45	      X59 : fun(int, fun(int, fun(list(int), X54)))]:
51.26/51.45	      app_encode_app(atom, X54, 
51.26/51.45	        app_encode_app(fun(int, fun(int, fun(list(int), X54))), 
51.26/51.45	          app_encode_fun(atom, X54), 
51.26/51.45	          app_encode_app(fun(int, fun(int, fun(list(int), X54))), 
51.26/51.45	            app_encode_fun(fun(int, fun(int, fun(list(int), X54))), 
51.26/51.45	              app_encode_fun(atom, X54)), 
51.26/51.45	            app_encode_app(fun(int, fun(list(int), X54)), 
51.26/51.45	              app_encode_fun(fun(int, fun(int, fun(list(int), X54))), 
51.26/51.45	                app_encode_fun(fun(int, fun(int, fun(list(int), X54))), 
51.26/51.45	                  app_encode_fun(atom, X54))), atom_case(X54), X55), X58), 
51.26/51.45	          X59), 
51.26/51.45	        app_encode_app(list(int), atom, 
51.26/51.45	          app_encode_app(int, app_encode_fun(list(int), atom), 
51.26/51.45	            c_PresArith_Oatom_OLe, X56), X57))
51.26/51.45	       = app_encode_app(list(int), X54, 
51.26/51.45	           app_encode_app(fun(list(int), X54), 
51.26/51.45	             app_encode_fun(list(int), X54), aa(list(int), X54), 
51.26/51.45	             app_encode_app(int, fun(list(int), X54), 
51.26/51.45	               app_encode_app(fun(int, fun(list(int), X54)), 
51.26/51.45	                 app_encode_fun(int, fun(list(int), X54)), 
51.26/51.45	                 aa(int, fun(list(int), X54)), X55), X56)), X57),
51.26/51.45	    inference('cnf', [status(esa)], [zf_stmt_79])).
51.26/51.45	tff('7', plain,
51.26/51.45	    ![X0 : $tType, X1 : fun(int, fun(list(int), X0)), 
51.26/51.45	      X2 : fun(int, fun(int, fun(list(int), X0))), 
51.26/51.45	      X3 : fun(int, fun(int, fun(list(int), X0)))]:
51.26/51.45	      app_encode_app(atom, X0, 
51.26/51.45	        app_encode_app(fun(int, fun(int, fun(list(int), X0))), 
51.26/51.45	          app_encode_fun(atom, X0), 
51.26/51.45	          app_encode_app(fun(int, fun(int, fun(list(int), X0))), 
51.26/51.45	            app_encode_fun(fun(int, fun(int, fun(list(int), X0))), 
51.26/51.45	              app_encode_fun(atom, X0)), 
51.26/51.45	            app_encode_app(fun(int, fun(list(int), X0)), 
51.26/51.45	              app_encode_fun(fun(int, fun(int, fun(list(int), X0))), 
51.26/51.45	                app_encode_fun(fun(int, fun(int, fun(list(int), X0))), 
51.26/51.45	                  app_encode_fun(atom, X0))), atom_case(X0), X1), X3), X2), 
51.26/51.45	        a)
51.26/51.45	       = app_encode_app(list(int), X0, 
51.26/51.45	           app_encode_app(fun(list(int), X0), app_encode_fun(list(int), X0), 
51.26/51.45	             aa(list(int), X0), 
51.26/51.45	             app_encode_app(int, fun(list(int), X0), 
51.26/51.45	               app_encode_app(fun(int, fun(list(int), X0)), 
51.26/51.45	                 app_encode_fun(int, fun(list(int), X0)), 
51.26/51.45	                 aa(int, fun(list(int), X0)), X1), int1)), list1),
51.26/51.45	    inference('sup+', [status(thm)], ['5', '6'])).
51.26/51.45	tff(zf_stmt_175, axiom,
51.26/51.45	  (![B:$tType,A:$tType,Q:B,P:A]:
51.26/51.45	     (app_encode_app(B,A,
51.26/51.45	                     app_encode_app(fun(B,A),app_encode_fun(B,A),aa(B,A),
51.26/51.45	                                    app_encode_app(A,fun(B,A),
51.26/51.45	                                                   app_encode_app(fun(
51.26/51.45	                                                                  A,fun(B,A)),
51.26/51.45	                                                                  app_encode_fun(
51.26/51.45	                                                                  A,fun(B,A)),
51.26/51.45	                                                                  aa(
51.26/51.45	                                                                  A,fun(B,A)),
51.26/51.45	                                                                  combk(A,B)),
51.26/51.45	                                                   P)),
51.26/51.45	                     Q) =
51.26/51.45	      P))).
51.26/51.45	tff('8', plain,
51.26/51.45	    ![X351 : $tType, X352 : X351, X353 : $tType, X354 : X353]:
51.26/51.45	      app_encode_app(X353, X351, 
51.26/51.45	        app_encode_app(fun(X353, X351), app_encode_fun(X353, X351), 
51.26/51.45	          aa(X353, X351), 
51.26/51.45	          app_encode_app(X351, fun(X353, X351), 
51.26/51.45	            app_encode_app(fun(X351, fun(X353, X351)), 
51.26/51.45	              app_encode_fun(X351, fun(X353, X351)), 
51.26/51.45	              aa(X351, fun(X353, X351)), combk(X351, X353)), X352)), X354)
51.26/51.45	       = X352,
51.26/51.45	    inference('cnf', [status(esa)], [zf_stmt_175])).
51.26/51.45	tff('9', plain, fFalse = fTrue,
51.26/51.45	    inference('demod', [status(thm)], ['4', '7', '8', '8'])).
51.26/51.45	tff(zf_stmt_171, axiom, (app_encode_app(bool,$o,pp,fTrue))).
51.26/51.45	tff('10', plain, app_encode_app(bool, $o, pp, fTrue),
51.26/51.45	    inference('cnf', [status(esa)], [zf_stmt_171])).
51.26/51.45	tff('11', plain, ~ $true, inference('demod', [status(thm)], ['0', '9', '10'])).
51.26/51.45	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
51.26/51.45	
51.26/51.45	% SZS output end Refutation
51.26/51.45	EOF
