0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : 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   : n038.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 14:06:09 CST 2018
0.39/0.55	% done 78 iterations in 0.343s
0.39/0.55	% SZS status Theorem for 'stdin'
0.39/0.55	% SZS output start Refutation
0.39/0.55	tff(zf_stmt_36, axiom,
0.39/0.55	  (app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                   arrow_411405190le_alt),
0.39/0.55	                      bool),
0.39/0.55	                  $o,
0.39/0.55	                  app_encode_app(product_prod(arrow_411405190le_alt,
0.39/0.55	                                              arrow_411405190le_alt),
0.39/0.55	                                 app_encode_fun(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                                 arrow_411405190le_alt),
0.39/0.55	                                                    bool),
0.39/0.55	                                                $o),
0.39/0.55	                                 member(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                     arrow_411405190le_alt)),
0.39/0.55	                                 app_encode_app(arrow_411405190le_alt,
0.39/0.55	                                                product_prod(arrow_411405190le_alt,
0.39/0.55	                                                             arrow_411405190le_alt),
0.39/0.55	                                                app_encode_app(fun(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt)),
0.39/0.55	                                                               app_encode_fun(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               product_prod(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               arrow_411405190le_alt)),
0.39/0.55	                                                               aa(arrow_411405190le_alt,
0.39/0.55	                                                                  product_prod(
0.39/0.55	                                                                  arrow_411405190le_alt,
0.39/0.55	                                                                  arrow_411405190le_alt)),
0.39/0.55	                                                               app_encode_app(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               fun(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt)),
0.39/0.55	                                                               app_encode_app(
0.39/0.55	                                                               fun(arrow_411405190le_alt,
0.39/0.55	                                                                   fun(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt))),
0.39/0.55	                                                               app_encode_fun(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               fun(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt))),
0.39/0.55	                                                               aa(arrow_411405190le_alt,
0.39/0.55	                                                                  fun(
0.39/0.55	                                                                  arrow_411405190le_alt,
0.39/0.55	                                                                  product_prod(
0.39/0.55	                                                                  arrow_411405190le_alt,
0.39/0.55	                                                                  arrow_411405190le_alt))),
0.39/0.55	                                                               product_Pair(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               arrow_411405190le_alt)),
0.39/0.55	                                                               a)),
0.39/0.55	                                                b)),
0.39/0.55	                  lab))).
0.39/0.55	tff('0', plain,
0.39/0.55	    app_encode_app(
0.39/0.55	      fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
0.39/0.55	      $o, 
0.39/0.55	      app_encode_app(
0.39/0.55	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	        app_encode_fun(
0.39/0.55	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	            bool), $o), 
0.39/0.55	        member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	        app_encode_app(arrow_411405190le_alt, 
0.39/0.55	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	          app_encode_app(
0.39/0.55	            fun(arrow_411405190le_alt, 
0.39/0.55	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	            app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	            aa(arrow_411405190le_alt, 
0.39/0.55	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	            app_encode_app(arrow_411405190le_alt, 
0.39/0.55	              fun(arrow_411405190le_alt, 
0.39/0.55	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	              app_encode_app(
0.39/0.55	                fun(arrow_411405190le_alt, 
0.39/0.55	                  fun(arrow_411405190le_alt, 
0.39/0.55	                    product_prod(arrow_411405190le_alt, 
0.39/0.55	                      arrow_411405190le_alt))), 
0.39/0.55	                app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                  fun(arrow_411405190le_alt, 
0.39/0.55	                    product_prod(arrow_411405190le_alt, 
0.39/0.55	                      arrow_411405190le_alt))), 
0.39/0.55	                aa(arrow_411405190le_alt, 
0.39/0.55	                  fun(arrow_411405190le_alt, 
0.39/0.55	                    product_prod(arrow_411405190le_alt, 
0.39/0.55	                      arrow_411405190le_alt))), 
0.39/0.55	                product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	              a)), b)), lab),
0.39/0.55	    inference('cnf', [status(esa)], [zf_stmt_36])).
0.39/0.55	tff(zf_stmt_40, axiom,
0.39/0.55	  (![Y1:arrow_411405190le_alt,X:arrow_411405190le_alt,
0.39/0.55	     L1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
0.39/0.55	     (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                          arrow_411405190le_alt),
0.39/0.55	                             bool),
0.39/0.55	                         bool),
0.39/0.55	                     $o,
0.39/0.55	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                     arrow_411405190le_alt),
0.39/0.55	                                        bool),
0.39/0.55	                                    app_encode_fun(fun(fun(product_prod(
0.39/0.55	                                                           arrow_411405190le_alt,
0.39/0.55	                                                           arrow_411405190le_alt),
0.39/0.55	                                                           bool),
0.39/0.55	                                                       bool),
0.39/0.55	                                                   $o),
0.39/0.55	                                    member(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                            arrow_411405190le_alt),
0.39/0.55	                                               bool)),
0.39/0.55	                                    L1),
0.39/0.55	                     arrow_1985332922le_Lin) =>
0.39/0.55	      ((X != Y1) =>
0.39/0.55	       ((~
0.39/0.55	          app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                          arrow_411405190le_alt),
0.39/0.55	                             bool),
0.39/0.55	                         $o,
0.39/0.55	                         app_encode_app(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                     arrow_411405190le_alt),
0.39/0.55	                                        app_encode_fun(fun(product_prod(
0.39/0.55	                                                           arrow_411405190le_alt,
0.39/0.55	                                                           arrow_411405190le_alt),
0.39/0.55	                                                           bool),
0.39/0.55	                                                       $o),
0.39/0.55	                                        member(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                            arrow_411405190le_alt)),
0.39/0.55	                                        app_encode_app(arrow_411405190le_alt,
0.39/0.55	                                                       product_prod(arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt),
0.39/0.55	                                                       app_encode_app(
0.39/0.55	                                                       fun(arrow_411405190le_alt,
0.39/0.55	                                                           product_prod(
0.39/0.55	                                                           arrow_411405190le_alt,
0.39/0.55	                                                           arrow_411405190le_alt)),
0.39/0.55	                                                       app_encode_fun(
0.39/0.55	                                                       arrow_411405190le_alt,
0.39/0.55	                                                       product_prod(arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                       aa(arrow_411405190le_alt,
0.39/0.55	                                                          product_prod(
0.39/0.55	                                                          arrow_411405190le_alt,
0.39/0.55	                                                          arrow_411405190le_alt)),
0.39/0.55	                                                       app_encode_app(
0.39/0.55	                                                       arrow_411405190le_alt,
0.39/0.55	                                                       fun(arrow_411405190le_alt,
0.39/0.55	                                                           product_prod(
0.39/0.55	                                                           arrow_411405190le_alt,
0.39/0.55	                                                           arrow_411405190le_alt)),
0.39/0.55	                                                       app_encode_app(
0.39/0.55	                                                       fun(arrow_411405190le_alt,
0.39/0.55	                                                           fun(arrow_411405190le_alt,
0.39/0.55	                                                               product_prod(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               arrow_411405190le_alt))),
0.39/0.55	                                                       app_encode_fun(
0.39/0.55	                                                       arrow_411405190le_alt,
0.39/0.55	                                                       fun(arrow_411405190le_alt,
0.39/0.55	                                                           product_prod(
0.39/0.55	                                                           arrow_411405190le_alt,
0.39/0.55	                                                           arrow_411405190le_alt))),
0.39/0.55	                                                       aa(arrow_411405190le_alt,
0.39/0.55	                                                          fun(arrow_411405190le_alt,
0.39/0.55	                                                              product_prod(
0.39/0.55	                                                              arrow_411405190le_alt,
0.39/0.55	                                                              arrow_411405190le_alt))),
0.39/0.55	                                                       product_Pair(arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                       X)),Y1)),
0.39/0.55	                         L1)) <=>
0.39/0.55	        app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                        arrow_411405190le_alt),
0.39/0.55	                           bool),
0.39/0.55	                       $o,
0.39/0.55	                       app_encode_app(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                   arrow_411405190le_alt),
0.39/0.55	                                      app_encode_fun(fun(product_prod(
0.39/0.55	                                                         arrow_411405190le_alt,
0.39/0.55	                                                         arrow_411405190le_alt),
0.39/0.55	                                                         bool),
0.39/0.55	                                                     $o),
0.39/0.55	                                      member(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                          arrow_411405190le_alt)),
0.39/0.55	                                      app_encode_app(arrow_411405190le_alt,
0.39/0.55	                                                     product_prod(arrow_411405190le_alt,
0.39/0.55	                                                                  arrow_411405190le_alt),
0.39/0.55	                                                     app_encode_app(fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                    app_encode_fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                    aa(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                    app_encode_app(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                    app_encode_app(
0.39/0.55	                                                                    fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt))),
0.39/0.55	                                                                    app_encode_fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt))),
0.39/0.55	                                                                    aa(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt))),
0.39/0.55	                                                                    product_Pair(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                    Y1)),
0.39/0.55	                                                     X)),
0.39/0.55	                       L1)))))).
0.39/0.55	tff('1', plain,
0.39/0.55	    ![X14 : arrow_411405190le_alt, X15 : arrow_411405190le_alt, 
0.39/0.55	      X16 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	              bool)]:
0.39/0.55	      (X15 = X14
0.39/0.55	       | ~ app_encode_app(
0.39/0.55	             fun(
0.39/0.55	               fun(
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                 bool), bool), $o, 
0.39/0.55	             app_encode_app(
0.39/0.55	               fun(
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                 bool), 
0.39/0.55	               app_encode_fun(
0.39/0.55	                 fun(
0.39/0.55	                   fun(
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt), bool), bool), $o), 
0.39/0.55	               member(
0.39/0.55	                 fun(
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                   bool)), X16), arrow_1985332922le_Lin)
0.39/0.55	       | ~ app_encode_app(
0.39/0.55	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               bool), $o, 
0.39/0.55	             app_encode_app(
0.39/0.55	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               app_encode_fun(
0.39/0.55	                 fun(
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                   bool), $o), 
0.39/0.55	               member(
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	               app_encode_app(arrow_411405190le_alt, 
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                 app_encode_app(
0.39/0.55	                   fun(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   aa(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   app_encode_app(arrow_411405190le_alt, 
0.39/0.55	                     fun(arrow_411405190le_alt, 
0.39/0.55	                       product_prod(arrow_411405190le_alt, 
0.39/0.55	                         arrow_411405190le_alt)), 
0.39/0.55	                     app_encode_app(
0.39/0.55	                       fun(arrow_411405190le_alt, 
0.39/0.55	                         fun(arrow_411405190le_alt, 
0.39/0.55	                           product_prod(arrow_411405190le_alt, 
0.39/0.55	                             arrow_411405190le_alt))), 
0.39/0.55	                       app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                         fun(arrow_411405190le_alt, 
0.39/0.55	                           product_prod(arrow_411405190le_alt, 
0.39/0.55	                             arrow_411405190le_alt))), 
0.39/0.55	                       aa(arrow_411405190le_alt, 
0.39/0.55	                         fun(arrow_411405190le_alt, 
0.39/0.55	                           product_prod(arrow_411405190le_alt, 
0.39/0.55	                             arrow_411405190le_alt))), 
0.39/0.55	                       product_Pair(arrow_411405190le_alt, 
0.39/0.55	                         arrow_411405190le_alt)), X15)), X14)), X16)
0.39/0.55	       | ~ app_encode_app(
0.39/0.55	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               bool), $o, 
0.39/0.55	             app_encode_app(
0.39/0.55	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               app_encode_fun(
0.39/0.55	                 fun(
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                   bool), $o), 
0.39/0.55	               member(
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	               app_encode_app(arrow_411405190le_alt, 
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                 app_encode_app(
0.39/0.55	                   fun(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   aa(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   app_encode_app(arrow_411405190le_alt, 
0.39/0.55	                     fun(arrow_411405190le_alt, 
0.39/0.55	                       product_prod(arrow_411405190le_alt, 
0.39/0.55	                         arrow_411405190le_alt)), 
0.39/0.55	                     app_encode_app(
0.39/0.55	                       fun(arrow_411405190le_alt, 
0.39/0.55	                         fun(arrow_411405190le_alt, 
0.39/0.55	                           product_prod(arrow_411405190le_alt, 
0.39/0.55	                             arrow_411405190le_alt))), 
0.39/0.55	                       app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                         fun(arrow_411405190le_alt, 
0.39/0.55	                           product_prod(arrow_411405190le_alt, 
0.39/0.55	                             arrow_411405190le_alt))), 
0.39/0.55	                       aa(arrow_411405190le_alt, 
0.39/0.55	                         fun(arrow_411405190le_alt, 
0.39/0.55	                           product_prod(arrow_411405190le_alt, 
0.39/0.55	                             arrow_411405190le_alt))), 
0.39/0.55	                       product_Pair(arrow_411405190le_alt, 
0.39/0.55	                         arrow_411405190le_alt)), X14)), X15)), X16)),
0.39/0.55	    inference('cnf', [status(esa)], [zf_stmt_40])).
0.39/0.55	tff('2', plain,
0.39/0.55	    (~ $true
0.39/0.55	     | ~ app_encode_app(
0.39/0.55	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	             bool), $o, 
0.39/0.55	           app_encode_app(
0.39/0.55	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	             app_encode_fun(
0.39/0.55	               fun(
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                 bool), $o), 
0.39/0.55	             member(
0.39/0.55	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	             app_encode_app(arrow_411405190le_alt, 
0.39/0.55	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               app_encode_app(
0.39/0.55	                 fun(arrow_411405190le_alt, 
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	                 app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	                 aa(arrow_411405190le_alt, 
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	                 app_encode_app(arrow_411405190le_alt, 
0.39/0.55	                   fun(arrow_411405190le_alt, 
0.39/0.55	                     product_prod(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), 
0.39/0.55	                   app_encode_app(
0.39/0.55	                     fun(arrow_411405190le_alt, 
0.39/0.55	                       fun(arrow_411405190le_alt, 
0.39/0.55	                         product_prod(arrow_411405190le_alt, 
0.39/0.55	                           arrow_411405190le_alt))), 
0.39/0.55	                     app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                       fun(arrow_411405190le_alt, 
0.39/0.55	                         product_prod(arrow_411405190le_alt, 
0.39/0.55	                           arrow_411405190le_alt))), 
0.39/0.55	                     aa(arrow_411405190le_alt, 
0.39/0.55	                       fun(arrow_411405190le_alt, 
0.39/0.55	                         product_prod(arrow_411405190le_alt, 
0.39/0.55	                           arrow_411405190le_alt))), 
0.39/0.55	                     product_Pair(arrow_411405190le_alt, 
0.39/0.55	                       arrow_411405190le_alt)), b)), a)), lab)
0.39/0.55	     | ~ app_encode_app(
0.39/0.55	           fun(
0.39/0.55	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               bool), bool), $o, 
0.39/0.55	           app_encode_app(
0.39/0.55	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	               bool), 
0.39/0.55	             app_encode_fun(
0.39/0.55	               fun(
0.39/0.55	                 fun(
0.39/0.55	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                   bool), bool), $o), 
0.39/0.55	             member(
0.39/0.55	               fun(
0.39/0.55	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	                 bool)), lab), arrow_1985332922le_Lin)
0.39/0.55	     | a = b),
0.39/0.55	    inference('sup-', [status(thm)], ['0', '1'])).
0.39/0.55	tff(zf_stmt_113, conjecture,
0.39/0.55	  (~
0.39/0.55	    app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                    arrow_411405190le_alt),
0.39/0.55	                       bool),
0.39/0.55	                   $o,
0.39/0.55	                   app_encode_app(product_prod(arrow_411405190le_alt,
0.39/0.55	                                               arrow_411405190le_alt),
0.39/0.55	                                  app_encode_fun(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                                  arrow_411405190le_alt),
0.39/0.55	                                                     bool),
0.39/0.55	                                                 $o),
0.39/0.55	                                  member(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                      arrow_411405190le_alt)),
0.39/0.55	                                  app_encode_app(arrow_411405190le_alt,
0.39/0.55	                                                 product_prod(arrow_411405190le_alt,
0.39/0.55	                                                              arrow_411405190le_alt),
0.39/0.55	                                                 app_encode_app(fun(arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                app_encode_fun(
0.39/0.55	                                                                arrow_411405190le_alt,
0.39/0.55	                                                                product_prod(
0.39/0.55	                                                                arrow_411405190le_alt,
0.39/0.55	                                                                arrow_411405190le_alt)),
0.39/0.55	                                                                aa(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt)),
0.39/0.55	                                                                app_encode_app(
0.39/0.55	                                                                arrow_411405190le_alt,
0.39/0.55	                                                                fun(arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt)),
0.39/0.55	                                                                app_encode_app(
0.39/0.55	                                                                fun(arrow_411405190le_alt,
0.39/0.55	                                                                    fun(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt))),
0.39/0.55	                                                                app_encode_fun(
0.39/0.55	                                                                arrow_411405190le_alt,
0.39/0.55	                                                                fun(arrow_411405190le_alt,
0.39/0.55	                                                                    product_prod(
0.39/0.55	                                                                    arrow_411405190le_alt,
0.39/0.55	                                                                    arrow_411405190le_alt))),
0.39/0.55	                                                                aa(arrow_411405190le_alt,
0.39/0.55	                                                                   fun(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt))),
0.39/0.55	                                                                product_Pair(
0.39/0.55	                                                                arrow_411405190le_alt,
0.39/0.55	                                                                arrow_411405190le_alt)),
0.39/0.55	                                                                b)),
0.39/0.55	                                                 a)),
0.39/0.55	                   lab))).
0.39/0.55	tff(zf_stmt_0, negated_conjecture,
0.39/0.55	  (app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                   arrow_411405190le_alt),
0.39/0.55	                      bool),
0.39/0.55	                  $o,
0.39/0.55	                  app_encode_app(product_prod(arrow_411405190le_alt,
0.39/0.55	                                              arrow_411405190le_alt),
0.39/0.55	                                 app_encode_fun(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                                 arrow_411405190le_alt),
0.39/0.55	                                                    bool),
0.39/0.55	                                                $o),
0.39/0.55	                                 member(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                     arrow_411405190le_alt)),
0.39/0.55	                                 app_encode_app(arrow_411405190le_alt,
0.39/0.55	                                                product_prod(arrow_411405190le_alt,
0.39/0.55	                                                             arrow_411405190le_alt),
0.39/0.55	                                                app_encode_app(fun(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt)),
0.39/0.55	                                                               app_encode_fun(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               product_prod(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               arrow_411405190le_alt)),
0.39/0.55	                                                               aa(arrow_411405190le_alt,
0.39/0.55	                                                                  product_prod(
0.39/0.55	                                                                  arrow_411405190le_alt,
0.39/0.55	                                                                  arrow_411405190le_alt)),
0.39/0.55	                                                               app_encode_app(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               fun(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt)),
0.39/0.55	                                                               app_encode_app(
0.39/0.55	                                                               fun(arrow_411405190le_alt,
0.39/0.55	                                                                   fun(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt))),
0.39/0.55	                                                               app_encode_fun(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               fun(arrow_411405190le_alt,
0.39/0.55	                                                                   product_prod(
0.39/0.55	                                                                   arrow_411405190le_alt,
0.39/0.55	                                                                   arrow_411405190le_alt))),
0.39/0.55	                                                               aa(arrow_411405190le_alt,
0.39/0.55	                                                                  fun(
0.39/0.55	                                                                  arrow_411405190le_alt,
0.39/0.55	                                                                  product_prod(
0.39/0.55	                                                                  arrow_411405190le_alt,
0.39/0.55	                                                                  arrow_411405190le_alt))),
0.39/0.55	                                                               product_Pair(
0.39/0.55	                                                               arrow_411405190le_alt,
0.39/0.55	                                                               arrow_411405190le_alt)),
0.39/0.55	                                                               b)),
0.39/0.55	                                                a)),
0.39/0.55	                  lab))).
0.39/0.55	tff('3', plain,
0.39/0.55	    app_encode_app(
0.39/0.55	      fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
0.39/0.55	      $o, 
0.39/0.55	      app_encode_app(
0.39/0.55	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	        app_encode_fun(
0.39/0.55	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	            bool), $o), 
0.39/0.55	        member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	        app_encode_app(arrow_411405190le_alt, 
0.39/0.55	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	          app_encode_app(
0.39/0.55	            fun(arrow_411405190le_alt, 
0.39/0.55	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	            app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	            aa(arrow_411405190le_alt, 
0.39/0.55	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	            app_encode_app(arrow_411405190le_alt, 
0.39/0.55	              fun(arrow_411405190le_alt, 
0.39/0.55	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	              app_encode_app(
0.39/0.55	                fun(arrow_411405190le_alt, 
0.39/0.55	                  fun(arrow_411405190le_alt, 
0.39/0.55	                    product_prod(arrow_411405190le_alt, 
0.39/0.55	                      arrow_411405190le_alt))), 
0.39/0.55	                app_encode_fun(arrow_411405190le_alt, 
0.39/0.55	                  fun(arrow_411405190le_alt, 
0.39/0.55	                    product_prod(arrow_411405190le_alt, 
0.39/0.55	                      arrow_411405190le_alt))), 
0.39/0.55	                aa(arrow_411405190le_alt, 
0.39/0.55	                  fun(arrow_411405190le_alt, 
0.39/0.55	                    product_prod(arrow_411405190le_alt, 
0.39/0.55	                      arrow_411405190le_alt))), 
0.39/0.55	                product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
0.39/0.55	              b)), a)), lab),
0.39/0.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.39/0.55	tff(zf_stmt_34, axiom,
0.39/0.55	  (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                       arrow_411405190le_alt),
0.39/0.55	                          bool),
0.39/0.55	                      bool),
0.39/0.55	                  $o,
0.39/0.55	                  app_encode_app(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                  arrow_411405190le_alt),
0.39/0.55	                                     bool),
0.39/0.55	                                 app_encode_fun(fun(fun(product_prod(
0.39/0.55	                                                        arrow_411405190le_alt,
0.39/0.55	                                                        arrow_411405190le_alt),
0.39/0.55	                                                        bool),
0.39/0.55	                                                    bool),
0.39/0.55	                                                $o),
0.39/0.55	                                 member(fun(product_prod(arrow_411405190le_alt,
0.39/0.55	                                                         arrow_411405190le_alt),
0.39/0.55	                                            bool)),
0.39/0.55	                                 lab),
0.39/0.55	                  arrow_1985332922le_Lin))).
0.39/0.55	tff('4', plain,
0.39/0.55	    app_encode_app(
0.39/0.55	      fun(
0.39/0.55	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
0.39/0.55	        bool), $o, 
0.39/0.55	      app_encode_app(
0.39/0.55	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
0.39/0.55	        app_encode_fun(
0.39/0.55	          fun(
0.39/0.55	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	              bool), bool), $o), 
0.39/0.55	        member(
0.39/0.55	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
0.39/0.55	            bool)), lab), arrow_1985332922le_Lin),
0.39/0.55	    inference('cnf', [status(esa)], [zf_stmt_34])).
0.39/0.55	tff('5', plain, (~ $true | ~ $true | ~ $true | a = b),
0.39/0.55	    inference('demod', [status(thm)], ['2', '3', '4'])).
0.39/0.55	tff('6', plain, a = b, inference('simplify', [status(thm)], ['5'])).
0.39/0.55	tff(zf_stmt_35, axiom, (a != b)).
0.39/0.55	tff('7', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_35])).
0.39/0.55	tff('8', plain, $false,
0.39/0.55	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
0.39/0.55	
0.39/0.55	% SZS output end Refutation
0.39/0.55	EOF
