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
0.00/0.20	% Computer   : n150.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 13:59:55 CST 2018
145.96/146.14	% done 4390 iterations in 145.938s
145.96/146.14	% SZS status Theorem for 'stdin'
145.96/146.14	% SZS output start Refutation
145.96/146.15	tff(zf_stmt_52, axiom,
145.96/146.15	  (![I:arrow_159774573e_indi]:
145.96/146.15	     app_encode_app(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                     arrow_411405190le_alt),
145.96/146.15	                        bool),
145.96/146.15	                    $o,
145.96/146.15	                    app_encode_app(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                arrow_411405190le_alt),
145.96/146.15	                                   app_encode_fun(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                      bool),
145.96/146.15	                                                  $o),
145.96/146.15	                                   member(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                       arrow_411405190le_alt)),
145.96/146.15	                                   app_encode_app(arrow_411405190le_alt,
145.96/146.15	                                                  product_prod(arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt),
145.96/146.15	                                                  app_encode_app(fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt)),
145.96/146.15	                                                                 app_encode_fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt)),
145.96/146.15	                                                                 aa(arrow_411405190le_alt,
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt)),
145.96/146.15	                                                                 app_encode_app(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt)),
145.96/146.15	                                                                 app_encode_app(
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt))),
145.96/146.15	                                                                 app_encode_fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt))),
145.96/146.15	                                                                 aa(arrow_411405190le_alt,
145.96/146.15	                                                                    fun(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt))),
145.96/146.15	                                                                 product_Pair(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt)),
145.96/146.15	                                                                 a1)),
145.96/146.15	                                                  a)),
145.96/146.15	                    app_encode_app(arrow_159774573e_indi,
145.96/146.15	                                   fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                    arrow_411405190le_alt),
145.96/146.15	                                       bool),
145.96/146.15	                                   app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                                      fun(product_prod(
145.96/146.15	                                                          arrow_411405190le_alt,
145.96/146.15	                                                          arrow_411405190le_alt),
145.96/146.15	                                                          bool)),
145.96/146.15	                                                  app_encode_fun(arrow_159774573e_indi,
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt),
145.96/146.15	                                                                 bool)),
145.96/146.15	                                                  aa(arrow_159774573e_indi,
145.96/146.15	                                                     fun(product_prod(
145.96/146.15	                                                         arrow_411405190le_alt,
145.96/146.15	                                                         arrow_411405190le_alt),
145.96/146.15	                                                         bool)),
145.96/146.15	                                                  q),
145.96/146.15	                                   I)))).
145.96/146.15	tff('0', plain,
145.96/146.15	    ![X0 : arrow_159774573e_indi]:
145.96/146.15	      app_encode_app(
145.96/146.15	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
145.96/146.15	        $o, 
145.96/146.15	        app_encode_app(
145.96/146.15	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	          app_encode_fun(
145.96/146.15	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	              bool), $o), 
145.96/146.15	          member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	          app_encode_app(arrow_411405190le_alt, 
145.96/146.15	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            app_encode_app(
145.96/146.15	              fun(arrow_411405190le_alt, 
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	              app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	              aa(arrow_411405190le_alt, 
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	              app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                fun(arrow_411405190le_alt, 
145.96/146.15	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                app_encode_app(
145.96/146.15	                  fun(arrow_411405190le_alt, 
145.96/146.15	                    fun(arrow_411405190le_alt, 
145.96/146.15	                      product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt))), 
145.96/146.15	                  app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                    fun(arrow_411405190le_alt, 
145.96/146.15	                      product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt))), 
145.96/146.15	                  aa(arrow_411405190le_alt, 
145.96/146.15	                    fun(arrow_411405190le_alt, 
145.96/146.15	                      product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt))), 
145.96/146.15	                  product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                a1)), a)), 
145.96/146.15	        app_encode_app(arrow_159774573e_indi, 
145.96/146.15	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            bool), 
145.96/146.15	          app_encode_app(
145.96/146.15	            fun(arrow_159774573e_indi, 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), 
145.96/146.15	            app_encode_fun(arrow_159774573e_indi, 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), 
145.96/146.15	            aa(arrow_159774573e_indi, 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), q), X0)),
145.96/146.15	    inference('cnf', [status(esa)], [zf_stmt_52])).
145.96/146.15	tff(zf_stmt_65, axiom,
145.96/146.15	  (![Fa:fun(fun(arrow_159774573e_indi,
145.96/146.15	                fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
145.96/146.15	                    bool)),
145.96/146.15	            fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
145.96/146.15	                bool))]:
145.96/146.15	     (app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                             fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                              arrow_411405190le_alt),
145.96/146.15	                                 bool)),
145.96/146.15	                         fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                          arrow_411405190le_alt),
145.96/146.15	                             bool)),
145.96/146.15	                     $o,arrow_2069624013nimity,Fa) <=>
145.96/146.15	      (![X4:fun(arrow_159774573e_indi,
145.96/146.15	                fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
145.96/146.15	                    bool))]:
145.96/146.15	         (app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                                 fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                  arrow_411405190le_alt),
145.96/146.15	                                     bool)),
145.96/146.15	                             bool),
145.96/146.15	                         $o,
145.96/146.15	                         app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                            fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                             arrow_411405190le_alt),
145.96/146.15	                                                bool)),
145.96/146.15	                                        app_encode_fun(fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                               fun(product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                                   bool)),
145.96/146.15	                                                           bool),
145.96/146.15	                                                       $o),
145.96/146.15	                                        member(fun(arrow_159774573e_indi,
145.96/146.15	                                                   fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt),
145.96/146.15	                                                       bool))),
145.96/146.15	                                        X4),
145.96/146.15	                         arrow_610318064e_Prof) =>
145.96/146.15	          (![A3:arrow_411405190le_alt,B3:arrow_411405190le_alt]:
145.96/146.15	             ((![I1:arrow_159774573e_indi]:
145.96/146.15	                 app_encode_app(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                 arrow_411405190le_alt),
145.96/146.15	                                    bool),
145.96/146.15	                                $o,
145.96/146.15	                                app_encode_app(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                            arrow_411405190le_alt),
145.96/146.15	                                               app_encode_fun(fun(product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt),
145.96/146.15	                                                                  bool),
145.96/146.15	                                                              $o),
145.96/146.15	                                               member(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt)),
145.96/146.15	                                               app_encode_app(arrow_411405190le_alt,
145.96/146.15	                                                              product_prod(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              arrow_411405190le_alt),
145.96/146.15	                                                              app_encode_app(
145.96/146.15	                                                              fun(arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt)),
145.96/146.15	                                                              app_encode_fun(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              product_prod(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              arrow_411405190le_alt)),
145.96/146.15	                                                              aa(arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt)),
145.96/146.15	                                                              app_encode_app(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              fun(arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt)),
145.96/146.15	                                                              app_encode_app(
145.96/146.15	                                                              fun(arrow_411405190le_alt,
145.96/146.15	                                                                  fun(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt))),
145.96/146.15	                                                              app_encode_fun(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              fun(arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt))),
145.96/146.15	                                                              aa(arrow_411405190le_alt,
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt))),
145.96/146.15	                                                              product_Pair(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              arrow_411405190le_alt)),
145.96/146.15	                                                              A3)),B3)),
145.96/146.15	                                app_encode_app(arrow_159774573e_indi,
145.96/146.15	                                               fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                arrow_411405190le_alt),
145.96/146.15	                                                   bool),
145.96/146.15	                                               app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                                                  fun(
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt),
145.96/146.15	                                                                  bool)),
145.96/146.15	                                                              app_encode_fun(
145.96/146.15	                                                              arrow_159774573e_indi,
145.96/146.15	                                                              fun(product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt),
145.96/146.15	                                                                  bool)),
145.96/146.15	                                                              aa(arrow_159774573e_indi,
145.96/146.15	                                                                 fun(
145.96/146.15	                                                                 product_prod(
145.96/146.15	                                                                 arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt),
145.96/146.15	                                                                 bool)),
145.96/146.15	                                                              X4),
145.96/146.15	                                               I1))) =>
145.96/146.15	              app_encode_app(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                              arrow_411405190le_alt),
145.96/146.15	                                 bool),
145.96/146.15	                             $o,
145.96/146.15	                             app_encode_app(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                         arrow_411405190le_alt),
145.96/146.15	                                            app_encode_fun(fun(product_prod(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt),
145.96/146.15	                                                               bool),
145.96/146.15	                                                           $o),
145.96/146.15	                                            member(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                arrow_411405190le_alt)),
145.96/146.15	                                            app_encode_app(arrow_411405190le_alt,
145.96/146.15	                                                           product_prod(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           arrow_411405190le_alt),
145.96/146.15	                                                           app_encode_app(
145.96/146.15	                                                           fun(arrow_411405190le_alt,
145.96/146.15	                                                               product_prod(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt)),
145.96/146.15	                                                           app_encode_fun(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           product_prod(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           arrow_411405190le_alt)),
145.96/146.15	                                                           aa(arrow_411405190le_alt,
145.96/146.15	                                                              product_prod(
145.96/146.15	                                                              arrow_411405190le_alt,
145.96/146.15	                                                              arrow_411405190le_alt)),
145.96/146.15	                                                           app_encode_app(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           fun(arrow_411405190le_alt,
145.96/146.15	                                                               product_prod(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt)),
145.96/146.15	                                                           app_encode_app(
145.96/146.15	                                                           fun(arrow_411405190le_alt,
145.96/146.15	                                                               fun(arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt))),
145.96/146.15	                                                           app_encode_fun(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           fun(arrow_411405190le_alt,
145.96/146.15	                                                               product_prod(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt))),
145.96/146.15	                                                           aa(arrow_411405190le_alt,
145.96/146.15	                                                              fun(arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt))),
145.96/146.15	                                                           product_Pair(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           arrow_411405190le_alt)),
145.96/146.15	                                                           A3)),B3)),
145.96/146.15	                             app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                                fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt),
145.96/146.15	                                                    bool)),
145.96/146.15	                                            fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                             arrow_411405190le_alt),
145.96/146.15	                                                bool),
145.96/146.15	                                            app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                                   fun(
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                                   bool)),
145.96/146.15	                                                               fun(product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                                   bool)),
145.96/146.15	                                                           app_encode_fun(
145.96/146.15	                                                           fun(arrow_159774573e_indi,
145.96/146.15	                                                               fun(product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                                   bool)),
145.96/146.15	                                                           fun(product_prod(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt),
145.96/146.15	                                                               bool)),
145.96/146.15	                                                           aa(fun(arrow_159774573e_indi,
145.96/146.15	                                                                  fun(
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt),
145.96/146.15	                                                                  bool)),
145.96/146.15	                                                              fun(product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt),
145.96/146.15	                                                                  bool)),
145.96/146.15	                                                           Fa),
145.96/146.15	                                            X4))))))))).
145.96/146.15	tff('1', plain,
145.96/146.15	    ![X35 : fun(arrow_159774573e_indi, 
145.96/146.15	              fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), 
145.96/146.15	      X36 : arrow_411405190le_alt, X37 : arrow_411405190le_alt, 
145.96/146.15	      X38 : fun(fun(arrow_159774573e_indi, 
145.96/146.15	                  fun(product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt), 
145.96/146.15	                    bool)), 
145.96/146.15	              fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool))]:
145.96/146.15	      (~ app_encode_app(
145.96/146.15	           fun(
145.96/146.15	             fun(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), bool), $o, 
145.96/146.15	           app_encode_app(
145.96/146.15	             fun(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             app_encode_fun(
145.96/146.15	               fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), bool), $o), 
145.96/146.15	             member(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool))), X35), arrow_610318064e_Prof)
145.96/146.15	       | app_encode_app(
145.96/146.15	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             bool), $o, 
145.96/146.15	           app_encode_app(
145.96/146.15	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             app_encode_fun(
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool), $o), 
145.96/146.15	             member(
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	             app_encode_app(arrow_411405190le_alt, 
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               app_encode_app(
145.96/146.15	                 fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 aa(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                   fun(arrow_411405190le_alt, 
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), 
145.96/146.15	                   app_encode_app(
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     aa(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     product_Pair(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), X36)), X37)), 
145.96/146.15	           app_encode_app(
145.96/146.15	             fun(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool), 
145.96/146.15	             app_encode_app(
145.96/146.15	               fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               app_encode_fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               aa(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), X38), X35))
145.96/146.15	       | ~ app_encode_app(
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool), $o, 
145.96/146.15	             app_encode_app(
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               app_encode_fun(
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool), $o), 
145.96/146.15	               member(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	               app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 app_encode_app(
145.96/146.15	                   fun(arrow_411405190le_alt, 
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), 
145.96/146.15	                   app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), 
145.96/146.15	                   aa(arrow_411405190le_alt, 
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), 
145.96/146.15	                   app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       product_prod(arrow_411405190le_alt, 
145.96/146.15	                         arrow_411405190le_alt)), 
145.96/146.15	                     app_encode_app(
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         fun(arrow_411405190le_alt, 
145.96/146.15	                           product_prod(arrow_411405190le_alt, 
145.96/146.15	                             arrow_411405190le_alt))), 
145.96/146.15	                       app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                         fun(arrow_411405190le_alt, 
145.96/146.15	                           product_prod(arrow_411405190le_alt, 
145.96/146.15	                             arrow_411405190le_alt))), 
145.96/146.15	                       aa(arrow_411405190le_alt, 
145.96/146.15	                         fun(arrow_411405190le_alt, 
145.96/146.15	                           product_prod(arrow_411405190le_alt, 
145.96/146.15	                             arrow_411405190le_alt))), 
145.96/146.15	                       product_Pair(arrow_411405190le_alt, 
145.96/146.15	                         arrow_411405190le_alt)), X36)), X37)), 
145.96/146.15	             app_encode_app(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool), 
145.96/146.15	               app_encode_app(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 app_encode_fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 aa(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), X35), 
145.96/146.15	               sk_I1(X37, X36, X35)))
145.96/146.15	       | ~ app_encode_app(
145.96/146.15	             fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), $o, arrow_2069624013nimity, X38)),
145.96/146.15	    inference('cnf', [status(esa)], [zf_stmt_65])).
145.96/146.15	tff('2', plain,
145.96/146.15	    ![X0 : fun(fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool))]:
145.96/146.15	      (~ $true
145.96/146.15	       | ~ app_encode_app(
145.96/146.15	             fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), $o, arrow_2069624013nimity, X0)
145.96/146.15	       | app_encode_app(
145.96/146.15	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             bool), $o, 
145.96/146.15	           app_encode_app(
145.96/146.15	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             app_encode_fun(
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool), $o), 
145.96/146.15	             member(
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	             app_encode_app(arrow_411405190le_alt, 
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               app_encode_app(
145.96/146.15	                 fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 aa(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                   fun(arrow_411405190le_alt, 
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), 
145.96/146.15	                   app_encode_app(
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     aa(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     product_Pair(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), a1)), a)), 
145.96/146.15	           app_encode_app(
145.96/146.15	             fun(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool), 
145.96/146.15	             app_encode_app(
145.96/146.15	               fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               app_encode_fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               aa(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), X0), q))
145.96/146.15	       | ~ app_encode_app(
145.96/146.15	             fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), bool), $o, 
145.96/146.15	             app_encode_app(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               app_encode_fun(
145.96/146.15	                 fun(
145.96/146.15	                   fun(arrow_159774573e_indi, 
145.96/146.15	                     fun(
145.96/146.15	                       product_prod(arrow_411405190le_alt, 
145.96/146.15	                         arrow_411405190le_alt), bool)), bool), $o), 
145.96/146.15	               member(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool))), q), 
145.96/146.15	             arrow_610318064e_Prof)),
145.96/146.15	    inference('sup-', [status(thm)], ['0', '1'])).
145.96/146.15	tff(zf_stmt_47, axiom,
145.96/146.15	  (app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                          fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                           arrow_411405190le_alt),
145.96/146.15	                              bool)),
145.96/146.15	                      bool),
145.96/146.15	                  $o,
145.96/146.15	                  app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                     fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                      arrow_411405190le_alt),
145.96/146.15	                                         bool)),
145.96/146.15	                                 app_encode_fun(fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                        fun(product_prod(
145.96/146.15	                                                            arrow_411405190le_alt,
145.96/146.15	                                                            arrow_411405190le_alt),
145.96/146.15	                                                            bool)),
145.96/146.15	                                                    bool),
145.96/146.15	                                                $o),
145.96/146.15	                                 member(fun(arrow_159774573e_indi,
145.96/146.15	                                            fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                             arrow_411405190le_alt),
145.96/146.15	                                                bool))),
145.96/146.15	                                 q),
145.96/146.15	                  arrow_610318064e_Prof))).
145.96/146.15	tff('3', plain,
145.96/146.15	    app_encode_app(
145.96/146.15	      fun(
145.96/146.15	        fun(arrow_159774573e_indi, 
145.96/146.15	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            bool)), bool), $o, 
145.96/146.15	      app_encode_app(
145.96/146.15	        fun(arrow_159774573e_indi, 
145.96/146.15	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            bool)), 
145.96/146.15	        app_encode_fun(
145.96/146.15	          fun(
145.96/146.15	            fun(arrow_159774573e_indi, 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), bool), $o), 
145.96/146.15	        member(
145.96/146.15	          fun(arrow_159774573e_indi, 
145.96/146.15	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	              bool))), q), arrow_610318064e_Prof),
145.96/146.15	    inference('cnf', [status(esa)], [zf_stmt_47])).
145.96/146.15	tff('4', plain,
145.96/146.15	    ![X0 : fun(fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool))]:
145.96/146.15	      (~ $true
145.96/146.15	       | ~ app_encode_app(
145.96/146.15	             fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), $o, arrow_2069624013nimity, X0)
145.96/146.15	       | app_encode_app(
145.96/146.15	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             bool), $o, 
145.96/146.15	           app_encode_app(
145.96/146.15	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             app_encode_fun(
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool), $o), 
145.96/146.15	             member(
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	             app_encode_app(arrow_411405190le_alt, 
145.96/146.15	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               app_encode_app(
145.96/146.15	                 fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 aa(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                   fun(arrow_411405190le_alt, 
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), 
145.96/146.15	                   app_encode_app(
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     aa(arrow_411405190le_alt, 
145.96/146.15	                       fun(arrow_411405190le_alt, 
145.96/146.15	                         product_prod(arrow_411405190le_alt, 
145.96/146.15	                           arrow_411405190le_alt))), 
145.96/146.15	                     product_Pair(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt)), a1)), a)), 
145.96/146.15	           app_encode_app(
145.96/146.15	             fun(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool), 
145.96/146.15	             app_encode_app(
145.96/146.15	               fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               app_encode_fun(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               aa(
145.96/146.15	                 fun(arrow_159774573e_indi, 
145.96/146.15	                   fun(
145.96/146.15	                     product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), bool)), 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), X0), q))
145.96/146.15	       | ~ $true),
145.96/146.15	    inference('demod', [status(thm)], ['2', '3'])).
145.96/146.15	tff('5', plain,
145.96/146.15	    ![X0 : fun(fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(product_prod(arrow_411405190le_alt, 
145.96/146.15	                       arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool))]:
145.96/146.15	      (app_encode_app(
145.96/146.15	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	           bool), $o, 
145.96/146.15	         app_encode_app(
145.96/146.15	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	           app_encode_fun(
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool), $o), 
145.96/146.15	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	           app_encode_app(arrow_411405190le_alt, 
145.96/146.15	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             app_encode_app(
145.96/146.15	               fun(arrow_411405190le_alt, 
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	               app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	               aa(arrow_411405190le_alt, 
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	               app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                 fun(arrow_411405190le_alt, 
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 app_encode_app(
145.96/146.15	                   fun(arrow_411405190le_alt, 
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       product_prod(arrow_411405190le_alt, 
145.96/146.15	                         arrow_411405190le_alt))), 
145.96/146.15	                   app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       product_prod(arrow_411405190le_alt, 
145.96/146.15	                         arrow_411405190le_alt))), 
145.96/146.15	                   aa(arrow_411405190le_alt, 
145.96/146.15	                     fun(arrow_411405190le_alt, 
145.96/146.15	                       product_prod(arrow_411405190le_alt, 
145.96/146.15	                         arrow_411405190le_alt))), 
145.96/146.15	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                 a1)), a)), 
145.96/146.15	         app_encode_app(
145.96/146.15	           fun(arrow_159774573e_indi, 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool)), 
145.96/146.15	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	             bool), 
145.96/146.15	           app_encode_app(
145.96/146.15	             fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             app_encode_fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             aa(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), X0), q))
145.96/146.15	       | ~ app_encode_app(
145.96/146.15	             fun(
145.96/146.15	               fun(arrow_159774573e_indi, 
145.96/146.15	                 fun(
145.96/146.15	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                   bool)), 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), $o, arrow_2069624013nimity, X0)),
145.96/146.15	    inference('simplify', [status(thm)], ['4'])).
145.96/146.15	tff(zf_stmt_160, conjecture,
145.96/146.15	  (app_encode_app(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                   arrow_411405190le_alt),
145.96/146.15	                      bool),
145.96/146.15	                  $o,
145.96/146.15	                  app_encode_app(product_prod(arrow_411405190le_alt,
145.96/146.15	                                              arrow_411405190le_alt),
145.96/146.15	                                 app_encode_fun(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                 arrow_411405190le_alt),
145.96/146.15	                                                    bool),
145.96/146.15	                                                $o),
145.96/146.15	                                 member(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                     arrow_411405190le_alt)),
145.96/146.15	                                 app_encode_app(arrow_411405190le_alt,
145.96/146.15	                                                product_prod(arrow_411405190le_alt,
145.96/146.15	                                                             arrow_411405190le_alt),
145.96/146.15	                                                app_encode_app(fun(arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt)),
145.96/146.15	                                                               app_encode_fun(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               product_prod(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt)),
145.96/146.15	                                                               aa(arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt)),
145.96/146.15	                                                               app_encode_app(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               fun(arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt)),
145.96/146.15	                                                               app_encode_app(
145.96/146.15	                                                               fun(arrow_411405190le_alt,
145.96/146.15	                                                                   fun(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt))),
145.96/146.15	                                                               app_encode_fun(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               fun(arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt))),
145.96/146.15	                                                               aa(arrow_411405190le_alt,
145.96/146.15	                                                                  fun(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  product_prod(
145.96/146.15	                                                                  arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt))),
145.96/146.15	                                                               product_Pair(
145.96/146.15	                                                               arrow_411405190le_alt,
145.96/146.15	                                                               arrow_411405190le_alt)),
145.96/146.15	                                                               a1)),
145.96/146.15	                                                a)),
145.96/146.15	                  app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                     fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                      arrow_411405190le_alt),
145.96/146.15	                                         bool)),
145.96/146.15	                                 fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                  arrow_411405190le_alt),
145.96/146.15	                                     bool),
145.96/146.15	                                 app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                        fun(product_prod(
145.96/146.15	                                                            arrow_411405190le_alt,
145.96/146.15	                                                            arrow_411405190le_alt),
145.96/146.15	                                                            bool)),
145.96/146.15	                                                    fun(product_prod(
145.96/146.15	                                                        arrow_411405190le_alt,
145.96/146.15	                                                        arrow_411405190le_alt),
145.96/146.15	                                                        bool)),
145.96/146.15	                                                app_encode_fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                                   fun(
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                                   bool)),
145.96/146.15	                                                               fun(product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt),
145.96/146.15	                                                                   bool)),
145.96/146.15	                                                aa(fun(arrow_159774573e_indi,
145.96/146.15	                                                       fun(product_prod(
145.96/146.15	                                                           arrow_411405190le_alt,
145.96/146.15	                                                           arrow_411405190le_alt),
145.96/146.15	                                                           bool)),
145.96/146.15	                                                   fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt),
145.96/146.15	                                                       bool)),
145.96/146.15	                                                f),
145.96/146.15	                                 q)))).
145.96/146.15	tff(zf_stmt_0, negated_conjecture,
145.96/146.15	  (~
145.96/146.15	    app_encode_app(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                    arrow_411405190le_alt),
145.96/146.15	                       bool),
145.96/146.15	                   $o,
145.96/146.15	                   app_encode_app(product_prod(arrow_411405190le_alt,
145.96/146.15	                                               arrow_411405190le_alt),
145.96/146.15	                                  app_encode_fun(fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                                  arrow_411405190le_alt),
145.96/146.15	                                                     bool),
145.96/146.15	                                                 $o),
145.96/146.15	                                  member(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                      arrow_411405190le_alt)),
145.96/146.15	                                  app_encode_app(arrow_411405190le_alt,
145.96/146.15	                                                 product_prod(arrow_411405190le_alt,
145.96/146.15	                                                              arrow_411405190le_alt),
145.96/146.15	                                                 app_encode_app(fun(arrow_411405190le_alt,
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt)),
145.96/146.15	                                                                app_encode_fun(
145.96/146.15	                                                                arrow_411405190le_alt,
145.96/146.15	                                                                product_prod(
145.96/146.15	                                                                arrow_411405190le_alt,
145.96/146.15	                                                                arrow_411405190le_alt)),
145.96/146.15	                                                                aa(arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt)),
145.96/146.15	                                                                app_encode_app(
145.96/146.15	                                                                arrow_411405190le_alt,
145.96/146.15	                                                                fun(arrow_411405190le_alt,
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt)),
145.96/146.15	                                                                app_encode_app(
145.96/146.15	                                                                fun(arrow_411405190le_alt,
145.96/146.15	                                                                    fun(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt))),
145.96/146.15	                                                                app_encode_fun(
145.96/146.15	                                                                arrow_411405190le_alt,
145.96/146.15	                                                                fun(arrow_411405190le_alt,
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt))),
145.96/146.15	                                                                aa(arrow_411405190le_alt,
145.96/146.15	                                                                   fun(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   product_prod(
145.96/146.15	                                                                   arrow_411405190le_alt,
145.96/146.15	                                                                   arrow_411405190le_alt))),
145.96/146.15	                                                                product_Pair(
145.96/146.15	                                                                arrow_411405190le_alt,
145.96/146.15	                                                                arrow_411405190le_alt)),
145.96/146.15	                                                                a1)),
145.96/146.15	                                                 a)),
145.96/146.15	                   app_encode_app(fun(arrow_159774573e_indi,
145.96/146.15	                                      fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                       arrow_411405190le_alt),
145.96/146.15	                                          bool)),
145.96/146.15	                                  fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                                   arrow_411405190le_alt),
145.96/146.15	                                      bool),
145.96/146.15	                                  app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                         fun(product_prod(
145.96/146.15	                                                             arrow_411405190le_alt,
145.96/146.15	                                                             arrow_411405190le_alt),
145.96/146.15	                                                             bool)),
145.96/146.15	                                                     fun(product_prod(
145.96/146.15	                                                         arrow_411405190le_alt,
145.96/146.15	                                                         arrow_411405190le_alt),
145.96/146.15	                                                         bool)),
145.96/146.15	                                                 app_encode_fun(fun(arrow_159774573e_indi,
145.96/146.15	                                                                    fun(
145.96/146.15	                                                                    product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt),
145.96/146.15	                                                                    bool)),
145.96/146.15	                                                                fun(product_prod(
145.96/146.15	                                                                    arrow_411405190le_alt,
145.96/146.15	                                                                    arrow_411405190le_alt),
145.96/146.15	                                                                    bool)),
145.96/146.15	                                                 aa(fun(arrow_159774573e_indi,
145.96/146.15	                                                        fun(product_prod(
145.96/146.15	                                                            arrow_411405190le_alt,
145.96/146.15	                                                            arrow_411405190le_alt),
145.96/146.15	                                                            bool)),
145.96/146.15	                                                    fun(product_prod(
145.96/146.15	                                                        arrow_411405190le_alt,
145.96/146.15	                                                        arrow_411405190le_alt),
145.96/146.15	                                                        bool)),
145.96/146.15	                                                 f),
145.96/146.15	                                  q)))).
145.96/146.15	tff('6', plain,
145.96/146.15	    ~ app_encode_app(
145.96/146.15	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
145.96/146.15	        $o, 
145.96/146.15	        app_encode_app(
145.96/146.15	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	          app_encode_fun(
145.96/146.15	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	              bool), $o), 
145.96/146.15	          member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	          app_encode_app(arrow_411405190le_alt, 
145.96/146.15	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            app_encode_app(
145.96/146.15	              fun(arrow_411405190le_alt, 
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	              app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	              aa(arrow_411405190le_alt, 
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	              app_encode_app(arrow_411405190le_alt, 
145.96/146.15	                fun(arrow_411405190le_alt, 
145.96/146.15	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                app_encode_app(
145.96/146.15	                  fun(arrow_411405190le_alt, 
145.96/146.15	                    fun(arrow_411405190le_alt, 
145.96/146.15	                      product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt))), 
145.96/146.15	                  app_encode_fun(arrow_411405190le_alt, 
145.96/146.15	                    fun(arrow_411405190le_alt, 
145.96/146.15	                      product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt))), 
145.96/146.15	                  aa(arrow_411405190le_alt, 
145.96/146.15	                    fun(arrow_411405190le_alt, 
145.96/146.15	                      product_prod(arrow_411405190le_alt, 
145.96/146.15	                        arrow_411405190le_alt))), 
145.96/146.15	                  product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
145.96/146.15	                a1)), a)), 
145.96/146.15	        app_encode_app(
145.96/146.15	          fun(arrow_159774573e_indi, 
145.96/146.15	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	              bool)), 
145.96/146.15	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            bool), 
145.96/146.15	          app_encode_app(
145.96/146.15	            fun(
145.96/146.15	              fun(arrow_159774573e_indi, 
145.96/146.15	                fun(
145.96/146.15	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                  bool)), 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), 
145.96/146.15	            app_encode_fun(
145.96/146.15	              fun(arrow_159774573e_indi, 
145.96/146.15	                fun(
145.96/146.15	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                  bool)), 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), 
145.96/146.15	            aa(
145.96/146.15	              fun(arrow_159774573e_indi, 
145.96/146.15	                fun(
145.96/146.15	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                  bool)), 
145.96/146.15	              fun(
145.96/146.15	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                bool)), f), q)),
145.96/146.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
145.96/146.15	tff('7', plain,
145.96/146.15	    (~ $true
145.96/146.15	     | ~ app_encode_app(
145.96/146.15	           fun(
145.96/146.15	             fun(arrow_159774573e_indi, 
145.96/146.15	               fun(
145.96/146.15	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	                 bool)), 
145.96/146.15	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	               bool)), $o, arrow_2069624013nimity, f)),
145.96/146.15	    inference('sup-', [status(thm)], ['5', '6'])).
145.96/146.15	tff(zf_stmt_46, axiom,
145.96/146.15	  (app_encode_app(fun(fun(arrow_159774573e_indi,
145.96/146.15	                          fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                           arrow_411405190le_alt),
145.96/146.15	                              bool)),
145.96/146.15	                      fun(product_prod(arrow_411405190le_alt,
145.96/146.15	                                       arrow_411405190le_alt),
145.96/146.15	                          bool)),
145.96/146.15	                  $o,arrow_2069624013nimity,f))).
145.96/146.15	tff('8', plain,
145.96/146.15	    app_encode_app(
145.96/146.15	      fun(
145.96/146.15	        fun(arrow_159774573e_indi, 
145.96/146.15	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
145.96/146.15	            bool)), 
145.96/146.15	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool)), 
145.96/146.15	      $o, arrow_2069624013nimity, f),
145.96/146.15	    inference('cnf', [status(esa)], [zf_stmt_46])).
145.96/146.15	tff('9', plain, (~ $true | ~ $true),
145.96/146.15	    inference('demod', [status(thm)], ['7', '8'])).
145.96/146.15	tff('10', plain, $false, inference('simplify', [status(thm)], ['9'])).
145.96/146.15	
145.96/146.15	% SZS output end Refutation
145.96/146.16	EOF
