0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n139.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 13:59:24 CST 2018
132.84/133.05	% done 4401 iterations in 132.854s
132.84/133.05	% SZS status Theorem for 'stdin'
132.84/133.05	% SZS output start Refutation
132.84/133.06	tff(zf_stmt_50, axiom,
132.84/133.06	  (![I:arrow_159774573e_indi]:
132.84/133.06	     app_encode_app(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                     arrow_411405190le_alt),
132.84/133.06	                        bool),
132.84/133.06	                    $o,
132.84/133.06	                    app_encode_app(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                arrow_411405190le_alt),
132.84/133.06	                                   app_encode_fun(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                      bool),
132.84/133.06	                                                  $o),
132.84/133.06	                                   member(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                       arrow_411405190le_alt)),
132.84/133.06	                                   app_encode_app(arrow_411405190le_alt,
132.84/133.06	                                                  product_prod(arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt),
132.84/133.06	                                                  app_encode_app(fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt)),
132.84/133.06	                                                                 app_encode_fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt)),
132.84/133.06	                                                                 aa(arrow_411405190le_alt,
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt)),
132.84/133.06	                                                                 app_encode_app(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt)),
132.84/133.06	                                                                 app_encode_app(
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt))),
132.84/133.06	                                                                 app_encode_fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt))),
132.84/133.06	                                                                 aa(arrow_411405190le_alt,
132.84/133.06	                                                                    fun(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt))),
132.84/133.06	                                                                 product_Pair(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt)),
132.84/133.06	                                                                 b1)),
132.84/133.06	                                                  b)),
132.84/133.06	                    app_encode_app(arrow_159774573e_indi,
132.84/133.06	                                   fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                    arrow_411405190le_alt),
132.84/133.06	                                       bool),
132.84/133.06	                                   app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                                      fun(product_prod(
132.84/133.06	                                                          arrow_411405190le_alt,
132.84/133.06	                                                          arrow_411405190le_alt),
132.84/133.06	                                                          bool)),
132.84/133.06	                                                  app_encode_fun(arrow_159774573e_indi,
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt),
132.84/133.06	                                                                 bool)),
132.84/133.06	                                                  aa(arrow_159774573e_indi,
132.84/133.06	                                                     fun(product_prod(
132.84/133.06	                                                         arrow_411405190le_alt,
132.84/133.06	                                                         arrow_411405190le_alt),
132.84/133.06	                                                         bool)),
132.84/133.06	                                                  q),
132.84/133.06	                                   I)))).
132.84/133.06	tff('0', plain,
132.84/133.06	    ![X0 : arrow_159774573e_indi]:
132.84/133.06	      app_encode_app(
132.84/133.06	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
132.84/133.06	        $o, 
132.84/133.06	        app_encode_app(
132.84/133.06	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	          app_encode_fun(
132.84/133.06	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	              bool), $o), 
132.84/133.06	          member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	          app_encode_app(arrow_411405190le_alt, 
132.84/133.06	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            app_encode_app(
132.84/133.06	              fun(arrow_411405190le_alt, 
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	              app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	              aa(arrow_411405190le_alt, 
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	              app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                fun(arrow_411405190le_alt, 
132.84/133.06	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                app_encode_app(
132.84/133.06	                  fun(arrow_411405190le_alt, 
132.84/133.06	                    fun(arrow_411405190le_alt, 
132.84/133.06	                      product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt))), 
132.84/133.06	                  app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                    fun(arrow_411405190le_alt, 
132.84/133.06	                      product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt))), 
132.84/133.06	                  aa(arrow_411405190le_alt, 
132.84/133.06	                    fun(arrow_411405190le_alt, 
132.84/133.06	                      product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt))), 
132.84/133.06	                  product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                b1)), b)), 
132.84/133.06	        app_encode_app(arrow_159774573e_indi, 
132.84/133.06	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            bool), 
132.84/133.06	          app_encode_app(
132.84/133.06	            fun(arrow_159774573e_indi, 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), 
132.84/133.06	            app_encode_fun(arrow_159774573e_indi, 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), 
132.84/133.06	            aa(arrow_159774573e_indi, 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), q), X0)),
132.84/133.06	    inference('cnf', [status(esa)], [zf_stmt_50])).
132.84/133.06	tff(zf_stmt_66, axiom,
132.84/133.06	  (![Fa:fun(fun(arrow_159774573e_indi,
132.84/133.06	                fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
132.84/133.06	                    bool)),
132.84/133.06	            fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
132.84/133.06	                bool))]:
132.84/133.06	     (app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                             fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                              arrow_411405190le_alt),
132.84/133.06	                                 bool)),
132.84/133.06	                         fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                          arrow_411405190le_alt),
132.84/133.06	                             bool)),
132.84/133.06	                     $o,arrow_2069624013nimity,Fa) <=>
132.84/133.06	      (![X4:fun(arrow_159774573e_indi,
132.84/133.06	                fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
132.84/133.06	                    bool))]:
132.84/133.06	         (app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                                 fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                  arrow_411405190le_alt),
132.84/133.06	                                     bool)),
132.84/133.06	                             bool),
132.84/133.06	                         $o,
132.84/133.06	                         app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                            fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                             arrow_411405190le_alt),
132.84/133.06	                                                bool)),
132.84/133.06	                                        app_encode_fun(fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                               fun(product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                                   bool)),
132.84/133.06	                                                           bool),
132.84/133.06	                                                       $o),
132.84/133.06	                                        member(fun(arrow_159774573e_indi,
132.84/133.06	                                                   fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt),
132.84/133.06	                                                       bool))),
132.84/133.06	                                        X4),
132.84/133.06	                         arrow_610318064e_Prof) =>
132.84/133.06	          (![A3:arrow_411405190le_alt,B3:arrow_411405190le_alt]:
132.84/133.06	             ((![I1:arrow_159774573e_indi]:
132.84/133.06	                 app_encode_app(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                 arrow_411405190le_alt),
132.84/133.06	                                    bool),
132.84/133.06	                                $o,
132.84/133.06	                                app_encode_app(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                            arrow_411405190le_alt),
132.84/133.06	                                               app_encode_fun(fun(product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt),
132.84/133.06	                                                                  bool),
132.84/133.06	                                                              $o),
132.84/133.06	                                               member(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt)),
132.84/133.06	                                               app_encode_app(arrow_411405190le_alt,
132.84/133.06	                                                              product_prod(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              arrow_411405190le_alt),
132.84/133.06	                                                              app_encode_app(
132.84/133.06	                                                              fun(arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt)),
132.84/133.06	                                                              app_encode_fun(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              product_prod(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              arrow_411405190le_alt)),
132.84/133.06	                                                              aa(arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt)),
132.84/133.06	                                                              app_encode_app(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              fun(arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt)),
132.84/133.06	                                                              app_encode_app(
132.84/133.06	                                                              fun(arrow_411405190le_alt,
132.84/133.06	                                                                  fun(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt))),
132.84/133.06	                                                              app_encode_fun(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              fun(arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt))),
132.84/133.06	                                                              aa(arrow_411405190le_alt,
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt))),
132.84/133.06	                                                              product_Pair(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              arrow_411405190le_alt)),
132.84/133.06	                                                              A3)),B3)),
132.84/133.06	                                app_encode_app(arrow_159774573e_indi,
132.84/133.06	                                               fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                arrow_411405190le_alt),
132.84/133.06	                                                   bool),
132.84/133.06	                                               app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                                                  fun(
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt),
132.84/133.06	                                                                  bool)),
132.84/133.06	                                                              app_encode_fun(
132.84/133.06	                                                              arrow_159774573e_indi,
132.84/133.06	                                                              fun(product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt),
132.84/133.06	                                                                  bool)),
132.84/133.06	                                                              aa(arrow_159774573e_indi,
132.84/133.06	                                                                 fun(
132.84/133.06	                                                                 product_prod(
132.84/133.06	                                                                 arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt),
132.84/133.06	                                                                 bool)),
132.84/133.06	                                                              X4),
132.84/133.06	                                               I1))) =>
132.84/133.06	              app_encode_app(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                              arrow_411405190le_alt),
132.84/133.06	                                 bool),
132.84/133.06	                             $o,
132.84/133.06	                             app_encode_app(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                         arrow_411405190le_alt),
132.84/133.06	                                            app_encode_fun(fun(product_prod(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt),
132.84/133.06	                                                               bool),
132.84/133.06	                                                           $o),
132.84/133.06	                                            member(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                arrow_411405190le_alt)),
132.84/133.06	                                            app_encode_app(arrow_411405190le_alt,
132.84/133.06	                                                           product_prod(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           arrow_411405190le_alt),
132.84/133.06	                                                           app_encode_app(
132.84/133.06	                                                           fun(arrow_411405190le_alt,
132.84/133.06	                                                               product_prod(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt)),
132.84/133.06	                                                           app_encode_fun(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           product_prod(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           arrow_411405190le_alt)),
132.84/133.06	                                                           aa(arrow_411405190le_alt,
132.84/133.06	                                                              product_prod(
132.84/133.06	                                                              arrow_411405190le_alt,
132.84/133.06	                                                              arrow_411405190le_alt)),
132.84/133.06	                                                           app_encode_app(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           fun(arrow_411405190le_alt,
132.84/133.06	                                                               product_prod(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt)),
132.84/133.06	                                                           app_encode_app(
132.84/133.06	                                                           fun(arrow_411405190le_alt,
132.84/133.06	                                                               fun(arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt))),
132.84/133.06	                                                           app_encode_fun(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           fun(arrow_411405190le_alt,
132.84/133.06	                                                               product_prod(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt))),
132.84/133.06	                                                           aa(arrow_411405190le_alt,
132.84/133.06	                                                              fun(arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt))),
132.84/133.06	                                                           product_Pair(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           arrow_411405190le_alt)),
132.84/133.06	                                                           A3)),B3)),
132.84/133.06	                             app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                                fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt),
132.84/133.06	                                                    bool)),
132.84/133.06	                                            fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                             arrow_411405190le_alt),
132.84/133.06	                                                bool),
132.84/133.06	                                            app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                                   fun(
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                                   bool)),
132.84/133.06	                                                               fun(product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                                   bool)),
132.84/133.06	                                                           app_encode_fun(
132.84/133.06	                                                           fun(arrow_159774573e_indi,
132.84/133.06	                                                               fun(product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                                   bool)),
132.84/133.06	                                                           fun(product_prod(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt),
132.84/133.06	                                                               bool)),
132.84/133.06	                                                           aa(fun(arrow_159774573e_indi,
132.84/133.06	                                                                  fun(
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt),
132.84/133.06	                                                                  bool)),
132.84/133.06	                                                              fun(product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt),
132.84/133.06	                                                                  bool)),
132.84/133.06	                                                           Fa),
132.84/133.06	                                            X4))))))))).
132.84/133.06	tff('1', plain,
132.84/133.06	    ![X35 : fun(arrow_159774573e_indi, 
132.84/133.06	              fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), 
132.84/133.06	      X36 : arrow_411405190le_alt, X37 : arrow_411405190le_alt, 
132.84/133.06	      X38 : fun(fun(arrow_159774573e_indi, 
132.84/133.06	                  fun(product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt), 
132.84/133.06	                    bool)), 
132.84/133.06	              fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool))]:
132.84/133.06	      (~ app_encode_app(
132.84/133.06	           fun(
132.84/133.06	             fun(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), bool), $o, 
132.84/133.06	           app_encode_app(
132.84/133.06	             fun(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             app_encode_fun(
132.84/133.06	               fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), bool), $o), 
132.84/133.06	             member(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool))), X35), arrow_610318064e_Prof)
132.84/133.06	       | app_encode_app(
132.84/133.06	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             bool), $o, 
132.84/133.06	           app_encode_app(
132.84/133.06	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             app_encode_fun(
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool), $o), 
132.84/133.06	             member(
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	             app_encode_app(arrow_411405190le_alt, 
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               app_encode_app(
132.84/133.06	                 fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 aa(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                   fun(arrow_411405190le_alt, 
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), 
132.84/133.06	                   app_encode_app(
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     aa(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     product_Pair(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), X36)), X37)), 
132.84/133.06	           app_encode_app(
132.84/133.06	             fun(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool), 
132.84/133.06	             app_encode_app(
132.84/133.06	               fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               app_encode_fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               aa(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), X38), X35))
132.84/133.06	       | ~ app_encode_app(
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool), $o, 
132.84/133.06	             app_encode_app(
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               app_encode_fun(
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool), $o), 
132.84/133.06	               member(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	               app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 app_encode_app(
132.84/133.06	                   fun(arrow_411405190le_alt, 
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), 
132.84/133.06	                   app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), 
132.84/133.06	                   aa(arrow_411405190le_alt, 
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), 
132.84/133.06	                   app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       product_prod(arrow_411405190le_alt, 
132.84/133.06	                         arrow_411405190le_alt)), 
132.84/133.06	                     app_encode_app(
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         fun(arrow_411405190le_alt, 
132.84/133.06	                           product_prod(arrow_411405190le_alt, 
132.84/133.06	                             arrow_411405190le_alt))), 
132.84/133.06	                       app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                         fun(arrow_411405190le_alt, 
132.84/133.06	                           product_prod(arrow_411405190le_alt, 
132.84/133.06	                             arrow_411405190le_alt))), 
132.84/133.06	                       aa(arrow_411405190le_alt, 
132.84/133.06	                         fun(arrow_411405190le_alt, 
132.84/133.06	                           product_prod(arrow_411405190le_alt, 
132.84/133.06	                             arrow_411405190le_alt))), 
132.84/133.06	                       product_Pair(arrow_411405190le_alt, 
132.84/133.06	                         arrow_411405190le_alt)), X36)), X37)), 
132.84/133.06	             app_encode_app(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool), 
132.84/133.06	               app_encode_app(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 app_encode_fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 aa(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), X35), 
132.84/133.06	               sk_I1(X37, X36, X35)))
132.84/133.06	       | ~ app_encode_app(
132.84/133.06	             fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), $o, arrow_2069624013nimity, X38)),
132.84/133.06	    inference('cnf', [status(esa)], [zf_stmt_66])).
132.84/133.06	tff('2', plain,
132.84/133.06	    ![X0 : fun(fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool))]:
132.84/133.06	      (~ $true
132.84/133.06	       | ~ app_encode_app(
132.84/133.06	             fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), $o, arrow_2069624013nimity, X0)
132.84/133.06	       | app_encode_app(
132.84/133.06	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             bool), $o, 
132.84/133.06	           app_encode_app(
132.84/133.06	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             app_encode_fun(
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool), $o), 
132.84/133.06	             member(
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	             app_encode_app(arrow_411405190le_alt, 
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               app_encode_app(
132.84/133.06	                 fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 aa(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                   fun(arrow_411405190le_alt, 
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), 
132.84/133.06	                   app_encode_app(
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     aa(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     product_Pair(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), b1)), b)), 
132.84/133.06	           app_encode_app(
132.84/133.06	             fun(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool), 
132.84/133.06	             app_encode_app(
132.84/133.06	               fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               app_encode_fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               aa(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), X0), q))
132.84/133.06	       | ~ app_encode_app(
132.84/133.06	             fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), bool), $o, 
132.84/133.06	             app_encode_app(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               app_encode_fun(
132.84/133.06	                 fun(
132.84/133.06	                   fun(arrow_159774573e_indi, 
132.84/133.06	                     fun(
132.84/133.06	                       product_prod(arrow_411405190le_alt, 
132.84/133.06	                         arrow_411405190le_alt), bool)), bool), $o), 
132.84/133.06	               member(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool))), q), 
132.84/133.06	             arrow_610318064e_Prof)),
132.84/133.06	    inference('sup-', [status(thm)], ['0', '1'])).
132.84/133.06	tff(zf_stmt_47, axiom,
132.84/133.06	  (app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                          fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                           arrow_411405190le_alt),
132.84/133.06	                              bool)),
132.84/133.06	                      bool),
132.84/133.06	                  $o,
132.84/133.06	                  app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                     fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                      arrow_411405190le_alt),
132.84/133.06	                                         bool)),
132.84/133.06	                                 app_encode_fun(fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                        fun(product_prod(
132.84/133.06	                                                            arrow_411405190le_alt,
132.84/133.06	                                                            arrow_411405190le_alt),
132.84/133.06	                                                            bool)),
132.84/133.06	                                                    bool),
132.84/133.06	                                                $o),
132.84/133.06	                                 member(fun(arrow_159774573e_indi,
132.84/133.06	                                            fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                             arrow_411405190le_alt),
132.84/133.06	                                                bool))),
132.84/133.06	                                 q),
132.84/133.06	                  arrow_610318064e_Prof))).
132.84/133.06	tff('3', plain,
132.84/133.06	    app_encode_app(
132.84/133.06	      fun(
132.84/133.06	        fun(arrow_159774573e_indi, 
132.84/133.06	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            bool)), bool), $o, 
132.84/133.06	      app_encode_app(
132.84/133.06	        fun(arrow_159774573e_indi, 
132.84/133.06	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            bool)), 
132.84/133.06	        app_encode_fun(
132.84/133.06	          fun(
132.84/133.06	            fun(arrow_159774573e_indi, 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), bool), $o), 
132.84/133.06	        member(
132.84/133.06	          fun(arrow_159774573e_indi, 
132.84/133.06	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	              bool))), q), arrow_610318064e_Prof),
132.84/133.06	    inference('cnf', [status(esa)], [zf_stmt_47])).
132.84/133.06	tff('4', plain,
132.84/133.06	    ![X0 : fun(fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool))]:
132.84/133.06	      (~ $true
132.84/133.06	       | ~ app_encode_app(
132.84/133.06	             fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), $o, arrow_2069624013nimity, X0)
132.84/133.06	       | app_encode_app(
132.84/133.06	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             bool), $o, 
132.84/133.06	           app_encode_app(
132.84/133.06	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             app_encode_fun(
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool), $o), 
132.84/133.06	             member(
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	             app_encode_app(arrow_411405190le_alt, 
132.84/133.06	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               app_encode_app(
132.84/133.06	                 fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 aa(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                   fun(arrow_411405190le_alt, 
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), 
132.84/133.06	                   app_encode_app(
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     aa(arrow_411405190le_alt, 
132.84/133.06	                       fun(arrow_411405190le_alt, 
132.84/133.06	                         product_prod(arrow_411405190le_alt, 
132.84/133.06	                           arrow_411405190le_alt))), 
132.84/133.06	                     product_Pair(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt)), b1)), b)), 
132.84/133.06	           app_encode_app(
132.84/133.06	             fun(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool), 
132.84/133.06	             app_encode_app(
132.84/133.06	               fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               app_encode_fun(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               aa(
132.84/133.06	                 fun(arrow_159774573e_indi, 
132.84/133.06	                   fun(
132.84/133.06	                     product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), bool)), 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), X0), q))
132.84/133.06	       | ~ $true),
132.84/133.06	    inference('demod', [status(thm)], ['2', '3'])).
132.84/133.06	tff('5', plain,
132.84/133.06	    ![X0 : fun(fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(product_prod(arrow_411405190le_alt, 
132.84/133.06	                       arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool))]:
132.84/133.06	      (app_encode_app(
132.84/133.06	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	           bool), $o, 
132.84/133.06	         app_encode_app(
132.84/133.06	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	           app_encode_fun(
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool), $o), 
132.84/133.06	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	           app_encode_app(arrow_411405190le_alt, 
132.84/133.06	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             app_encode_app(
132.84/133.06	               fun(arrow_411405190le_alt, 
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	               app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	               aa(arrow_411405190le_alt, 
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	               app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                 fun(arrow_411405190le_alt, 
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 app_encode_app(
132.84/133.06	                   fun(arrow_411405190le_alt, 
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       product_prod(arrow_411405190le_alt, 
132.84/133.06	                         arrow_411405190le_alt))), 
132.84/133.06	                   app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       product_prod(arrow_411405190le_alt, 
132.84/133.06	                         arrow_411405190le_alt))), 
132.84/133.06	                   aa(arrow_411405190le_alt, 
132.84/133.06	                     fun(arrow_411405190le_alt, 
132.84/133.06	                       product_prod(arrow_411405190le_alt, 
132.84/133.06	                         arrow_411405190le_alt))), 
132.84/133.06	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                 b1)), b)), 
132.84/133.06	         app_encode_app(
132.84/133.06	           fun(arrow_159774573e_indi, 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool)), 
132.84/133.06	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	             bool), 
132.84/133.06	           app_encode_app(
132.84/133.06	             fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             app_encode_fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             aa(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), X0), q))
132.84/133.06	       | ~ app_encode_app(
132.84/133.06	             fun(
132.84/133.06	               fun(arrow_159774573e_indi, 
132.84/133.06	                 fun(
132.84/133.06	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                   bool)), 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), $o, arrow_2069624013nimity, X0)),
132.84/133.06	    inference('simplify', [status(thm)], ['4'])).
132.84/133.06	tff(zf_stmt_162, conjecture,
132.84/133.06	  (app_encode_app(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                   arrow_411405190le_alt),
132.84/133.06	                      bool),
132.84/133.06	                  $o,
132.84/133.06	                  app_encode_app(product_prod(arrow_411405190le_alt,
132.84/133.06	                                              arrow_411405190le_alt),
132.84/133.06	                                 app_encode_fun(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                 arrow_411405190le_alt),
132.84/133.06	                                                    bool),
132.84/133.06	                                                $o),
132.84/133.06	                                 member(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                     arrow_411405190le_alt)),
132.84/133.06	                                 app_encode_app(arrow_411405190le_alt,
132.84/133.06	                                                product_prod(arrow_411405190le_alt,
132.84/133.06	                                                             arrow_411405190le_alt),
132.84/133.06	                                                app_encode_app(fun(arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt)),
132.84/133.06	                                                               app_encode_fun(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               product_prod(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt)),
132.84/133.06	                                                               aa(arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt)),
132.84/133.06	                                                               app_encode_app(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               fun(arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt)),
132.84/133.06	                                                               app_encode_app(
132.84/133.06	                                                               fun(arrow_411405190le_alt,
132.84/133.06	                                                                   fun(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt))),
132.84/133.06	                                                               app_encode_fun(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               fun(arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt))),
132.84/133.06	                                                               aa(arrow_411405190le_alt,
132.84/133.06	                                                                  fun(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  product_prod(
132.84/133.06	                                                                  arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt))),
132.84/133.06	                                                               product_Pair(
132.84/133.06	                                                               arrow_411405190le_alt,
132.84/133.06	                                                               arrow_411405190le_alt)),
132.84/133.06	                                                               b1)),
132.84/133.06	                                                b)),
132.84/133.06	                  app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                     fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                      arrow_411405190le_alt),
132.84/133.06	                                         bool)),
132.84/133.06	                                 fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                  arrow_411405190le_alt),
132.84/133.06	                                     bool),
132.84/133.06	                                 app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                        fun(product_prod(
132.84/133.06	                                                            arrow_411405190le_alt,
132.84/133.06	                                                            arrow_411405190le_alt),
132.84/133.06	                                                            bool)),
132.84/133.06	                                                    fun(product_prod(
132.84/133.06	                                                        arrow_411405190le_alt,
132.84/133.06	                                                        arrow_411405190le_alt),
132.84/133.06	                                                        bool)),
132.84/133.06	                                                app_encode_fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                                   fun(
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                                   bool)),
132.84/133.06	                                                               fun(product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt),
132.84/133.06	                                                                   bool)),
132.84/133.06	                                                aa(fun(arrow_159774573e_indi,
132.84/133.06	                                                       fun(product_prod(
132.84/133.06	                                                           arrow_411405190le_alt,
132.84/133.06	                                                           arrow_411405190le_alt),
132.84/133.06	                                                           bool)),
132.84/133.06	                                                   fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt),
132.84/133.06	                                                       bool)),
132.84/133.06	                                                f),
132.84/133.06	                                 q)))).
132.84/133.06	tff(zf_stmt_0, negated_conjecture,
132.84/133.06	  (~
132.84/133.06	    app_encode_app(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                    arrow_411405190le_alt),
132.84/133.06	                       bool),
132.84/133.06	                   $o,
132.84/133.06	                   app_encode_app(product_prod(arrow_411405190le_alt,
132.84/133.06	                                               arrow_411405190le_alt),
132.84/133.06	                                  app_encode_fun(fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                                  arrow_411405190le_alt),
132.84/133.06	                                                     bool),
132.84/133.06	                                                 $o),
132.84/133.06	                                  member(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                      arrow_411405190le_alt)),
132.84/133.06	                                  app_encode_app(arrow_411405190le_alt,
132.84/133.06	                                                 product_prod(arrow_411405190le_alt,
132.84/133.06	                                                              arrow_411405190le_alt),
132.84/133.06	                                                 app_encode_app(fun(arrow_411405190le_alt,
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt)),
132.84/133.06	                                                                app_encode_fun(
132.84/133.06	                                                                arrow_411405190le_alt,
132.84/133.06	                                                                product_prod(
132.84/133.06	                                                                arrow_411405190le_alt,
132.84/133.06	                                                                arrow_411405190le_alt)),
132.84/133.06	                                                                aa(arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt)),
132.84/133.06	                                                                app_encode_app(
132.84/133.06	                                                                arrow_411405190le_alt,
132.84/133.06	                                                                fun(arrow_411405190le_alt,
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt)),
132.84/133.06	                                                                app_encode_app(
132.84/133.06	                                                                fun(arrow_411405190le_alt,
132.84/133.06	                                                                    fun(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt))),
132.84/133.06	                                                                app_encode_fun(
132.84/133.06	                                                                arrow_411405190le_alt,
132.84/133.06	                                                                fun(arrow_411405190le_alt,
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt))),
132.84/133.06	                                                                aa(arrow_411405190le_alt,
132.84/133.06	                                                                   fun(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   product_prod(
132.84/133.06	                                                                   arrow_411405190le_alt,
132.84/133.06	                                                                   arrow_411405190le_alt))),
132.84/133.06	                                                                product_Pair(
132.84/133.06	                                                                arrow_411405190le_alt,
132.84/133.06	                                                                arrow_411405190le_alt)),
132.84/133.06	                                                                b1)),
132.84/133.06	                                                 b)),
132.84/133.06	                   app_encode_app(fun(arrow_159774573e_indi,
132.84/133.06	                                      fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                       arrow_411405190le_alt),
132.84/133.06	                                          bool)),
132.84/133.06	                                  fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                                   arrow_411405190le_alt),
132.84/133.06	                                      bool),
132.84/133.06	                                  app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                         fun(product_prod(
132.84/133.06	                                                             arrow_411405190le_alt,
132.84/133.06	                                                             arrow_411405190le_alt),
132.84/133.06	                                                             bool)),
132.84/133.06	                                                     fun(product_prod(
132.84/133.06	                                                         arrow_411405190le_alt,
132.84/133.06	                                                         arrow_411405190le_alt),
132.84/133.06	                                                         bool)),
132.84/133.06	                                                 app_encode_fun(fun(arrow_159774573e_indi,
132.84/133.06	                                                                    fun(
132.84/133.06	                                                                    product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt),
132.84/133.06	                                                                    bool)),
132.84/133.06	                                                                fun(product_prod(
132.84/133.06	                                                                    arrow_411405190le_alt,
132.84/133.06	                                                                    arrow_411405190le_alt),
132.84/133.06	                                                                    bool)),
132.84/133.06	                                                 aa(fun(arrow_159774573e_indi,
132.84/133.06	                                                        fun(product_prod(
132.84/133.06	                                                            arrow_411405190le_alt,
132.84/133.06	                                                            arrow_411405190le_alt),
132.84/133.06	                                                            bool)),
132.84/133.06	                                                    fun(product_prod(
132.84/133.06	                                                        arrow_411405190le_alt,
132.84/133.06	                                                        arrow_411405190le_alt),
132.84/133.06	                                                        bool)),
132.84/133.06	                                                 f),
132.84/133.06	                                  q)))).
132.84/133.06	tff('6', plain,
132.84/133.06	    ~ app_encode_app(
132.84/133.06	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
132.84/133.06	        $o, 
132.84/133.06	        app_encode_app(
132.84/133.06	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	          app_encode_fun(
132.84/133.06	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	              bool), $o), 
132.84/133.06	          member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	          app_encode_app(arrow_411405190le_alt, 
132.84/133.06	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            app_encode_app(
132.84/133.06	              fun(arrow_411405190le_alt, 
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	              app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	              aa(arrow_411405190le_alt, 
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	              app_encode_app(arrow_411405190le_alt, 
132.84/133.06	                fun(arrow_411405190le_alt, 
132.84/133.06	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                app_encode_app(
132.84/133.06	                  fun(arrow_411405190le_alt, 
132.84/133.06	                    fun(arrow_411405190le_alt, 
132.84/133.06	                      product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt))), 
132.84/133.06	                  app_encode_fun(arrow_411405190le_alt, 
132.84/133.06	                    fun(arrow_411405190le_alt, 
132.84/133.06	                      product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt))), 
132.84/133.06	                  aa(arrow_411405190le_alt, 
132.84/133.06	                    fun(arrow_411405190le_alt, 
132.84/133.06	                      product_prod(arrow_411405190le_alt, 
132.84/133.06	                        arrow_411405190le_alt))), 
132.84/133.06	                  product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
132.84/133.06	                b1)), b)), 
132.84/133.06	        app_encode_app(
132.84/133.06	          fun(arrow_159774573e_indi, 
132.84/133.06	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	              bool)), 
132.84/133.06	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            bool), 
132.84/133.06	          app_encode_app(
132.84/133.06	            fun(
132.84/133.06	              fun(arrow_159774573e_indi, 
132.84/133.06	                fun(
132.84/133.06	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                  bool)), 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), 
132.84/133.06	            app_encode_fun(
132.84/133.06	              fun(arrow_159774573e_indi, 
132.84/133.06	                fun(
132.84/133.06	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                  bool)), 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), 
132.84/133.06	            aa(
132.84/133.06	              fun(arrow_159774573e_indi, 
132.84/133.06	                fun(
132.84/133.06	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                  bool)), 
132.84/133.06	              fun(
132.84/133.06	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                bool)), f), q)),
132.84/133.06	    inference('cnf', [status(esa)], [zf_stmt_0])).
132.84/133.06	tff('7', plain,
132.84/133.06	    (~ $true
132.84/133.06	     | ~ app_encode_app(
132.84/133.06	           fun(
132.84/133.06	             fun(arrow_159774573e_indi, 
132.84/133.06	               fun(
132.84/133.06	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	                 bool)), 
132.84/133.06	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	               bool)), $o, arrow_2069624013nimity, f)),
132.84/133.06	    inference('sup-', [status(thm)], ['5', '6'])).
132.84/133.06	tff(zf_stmt_46, axiom,
132.84/133.06	  (app_encode_app(fun(fun(arrow_159774573e_indi,
132.84/133.06	                          fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                           arrow_411405190le_alt),
132.84/133.06	                              bool)),
132.84/133.06	                      fun(product_prod(arrow_411405190le_alt,
132.84/133.06	                                       arrow_411405190le_alt),
132.84/133.06	                          bool)),
132.84/133.06	                  $o,arrow_2069624013nimity,f))).
132.84/133.06	tff('8', plain,
132.84/133.06	    app_encode_app(
132.84/133.06	      fun(
132.84/133.06	        fun(arrow_159774573e_indi, 
132.84/133.06	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
132.84/133.06	            bool)), 
132.84/133.06	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool)), 
132.84/133.06	      $o, arrow_2069624013nimity, f),
132.84/133.06	    inference('cnf', [status(esa)], [zf_stmt_46])).
132.84/133.06	tff('9', plain, (~ $true | ~ $true),
132.84/133.06	    inference('demod', [status(thm)], ['7', '8'])).
132.84/133.06	tff('10', plain, $false, inference('simplify', [status(thm)], ['9'])).
132.84/133.06	
132.84/133.06	% SZS output end Refutation
132.84/133.06	EOF
