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   : n081.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 14:09:24 CST 2018
25.47/25.67	% done 1194 iterations in 25.469s
25.47/25.67	% SZS status Theorem for 'stdin'
25.47/25.67	% SZS output start Refutation
25.47/25.68	tff(zf_stmt_42, axiom,
25.47/25.68	  (![Ba:arrow_411405190le_alt,Aa:arrow_411405190le_alt]:
25.47/25.68	     ((Aa != Ba) =>
25.47/25.68	      (?[X1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
25.47/25.68	                bool)]:
25.47/25.68	         (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                              arrow_411405190le_alt),
25.47/25.68	                                 bool),
25.47/25.68	                             bool),
25.47/25.68	                         $o,
25.47/25.68	                         app_encode_app(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                         arrow_411405190le_alt),
25.47/25.68	                                            bool),
25.47/25.68	                                        app_encode_fun(fun(fun(product_prod(
25.47/25.68	                                                               arrow_411405190le_alt,
25.47/25.68	                                                               arrow_411405190le_alt),
25.47/25.68	                                                               bool),
25.47/25.68	                                                           bool),
25.47/25.68	                                                       $o),
25.47/25.68	                                        member(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                                arrow_411405190le_alt),
25.47/25.68	                                                   bool)),
25.47/25.68	                                        X1),
25.47/25.68	                         arrow_1985332922le_Lin) & 
25.47/25.68	          app_encode_app(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                          arrow_411405190le_alt),
25.47/25.68	                             bool),
25.47/25.68	                         $o,
25.47/25.68	                         app_encode_app(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                     arrow_411405190le_alt),
25.47/25.68	                                        app_encode_fun(fun(product_prod(
25.47/25.68	                                                           arrow_411405190le_alt,
25.47/25.68	                                                           arrow_411405190le_alt),
25.47/25.68	                                                           bool),
25.47/25.68	                                                       $o),
25.47/25.68	                                        member(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                            arrow_411405190le_alt)),
25.47/25.68	                                        app_encode_app(arrow_411405190le_alt,
25.47/25.68	                                                       product_prod(arrow_411405190le_alt,
25.47/25.68	                                                                    arrow_411405190le_alt),
25.47/25.68	                                                       app_encode_app(
25.47/25.68	                                                       fun(arrow_411405190le_alt,
25.47/25.68	                                                           product_prod(
25.47/25.68	                                                           arrow_411405190le_alt,
25.47/25.68	                                                           arrow_411405190le_alt)),
25.47/25.68	                                                       app_encode_fun(
25.47/25.68	                                                       arrow_411405190le_alt,
25.47/25.68	                                                       product_prod(arrow_411405190le_alt,
25.47/25.68	                                                                    arrow_411405190le_alt)),
25.47/25.68	                                                       aa(arrow_411405190le_alt,
25.47/25.68	                                                          product_prod(
25.47/25.68	                                                          arrow_411405190le_alt,
25.47/25.68	                                                          arrow_411405190le_alt)),
25.47/25.68	                                                       app_encode_app(
25.47/25.68	                                                       arrow_411405190le_alt,
25.47/25.68	                                                       fun(arrow_411405190le_alt,
25.47/25.68	                                                           product_prod(
25.47/25.68	                                                           arrow_411405190le_alt,
25.47/25.68	                                                           arrow_411405190le_alt)),
25.47/25.68	                                                       app_encode_app(
25.47/25.68	                                                       fun(arrow_411405190le_alt,
25.47/25.68	                                                           fun(arrow_411405190le_alt,
25.47/25.68	                                                               product_prod(
25.47/25.68	                                                               arrow_411405190le_alt,
25.47/25.68	                                                               arrow_411405190le_alt))),
25.47/25.68	                                                       app_encode_fun(
25.47/25.68	                                                       arrow_411405190le_alt,
25.47/25.68	                                                       fun(arrow_411405190le_alt,
25.47/25.68	                                                           product_prod(
25.47/25.68	                                                           arrow_411405190le_alt,
25.47/25.68	                                                           arrow_411405190le_alt))),
25.47/25.68	                                                       aa(arrow_411405190le_alt,
25.47/25.68	                                                          fun(arrow_411405190le_alt,
25.47/25.68	                                                              product_prod(
25.47/25.68	                                                              arrow_411405190le_alt,
25.47/25.68	                                                              arrow_411405190le_alt))),
25.47/25.68	                                                       product_Pair(arrow_411405190le_alt,
25.47/25.68	                                                                    arrow_411405190le_alt)),
25.47/25.68	                                                       Aa)),Ba)),
25.47/25.68	                         X1)))))).
25.47/25.68	tff('0', plain,
25.47/25.68	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
25.47/25.68	      (app_encode_app(
25.47/25.68	         fun(
25.47/25.68	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	             bool), bool), $o, 
25.47/25.68	         app_encode_app(
25.47/25.68	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	             bool), 
25.47/25.68	           app_encode_fun(
25.47/25.68	             fun(
25.47/25.68	               fun(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 bool), bool), $o), 
25.47/25.68	           member(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool)), sk_X1(X6, X7)), arrow_1985332922le_Lin)
25.47/25.68	       | X6 = X7),
25.47/25.68	    inference('cnf', [status(esa)], [zf_stmt_42])).
25.47/25.68	tff('1', plain,
25.47/25.68	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
25.47/25.68	      (app_encode_app(
25.47/25.68	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	           bool), $o, 
25.47/25.68	         app_encode_app(
25.47/25.68	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	           app_encode_fun(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), $o), 
25.47/25.68	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	           app_encode_app(arrow_411405190le_alt, 
25.47/25.68	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	             app_encode_app(
25.47/25.68	               fun(arrow_411405190le_alt, 
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	               app_encode_fun(arrow_411405190le_alt, 
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	               aa(arrow_411405190le_alt, 
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	               app_encode_app(arrow_411405190le_alt, 
25.47/25.68	                 fun(arrow_411405190le_alt, 
25.47/25.68	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	                 app_encode_app(
25.47/25.68	                   fun(arrow_411405190le_alt, 
25.47/25.68	                     fun(arrow_411405190le_alt, 
25.47/25.68	                       product_prod(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt))), 
25.47/25.68	                   app_encode_fun(arrow_411405190le_alt, 
25.47/25.68	                     fun(arrow_411405190le_alt, 
25.47/25.68	                       product_prod(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt))), 
25.47/25.68	                   aa(arrow_411405190le_alt, 
25.47/25.68	                     fun(arrow_411405190le_alt, 
25.47/25.68	                       product_prod(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt))), 
25.47/25.68	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	                 X6)), X7)), sk_X1(X6, X7))
25.47/25.68	       | X6 = X7),
25.47/25.68	    inference('cnf', [status(esa)], [zf_stmt_42])).
25.47/25.68	tff(zf_stmt_115, axiom,
25.47/25.68	  (![Lba:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
25.47/25.68	     (app_encode_app(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                      arrow_411405190le_alt),
25.47/25.68	                         bool),
25.47/25.68	                     $o,
25.47/25.68	                     app_encode_app(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                 arrow_411405190le_alt),
25.47/25.68	                                    app_encode_fun(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                                    arrow_411405190le_alt),
25.47/25.68	                                                       bool),
25.47/25.68	                                                   $o),
25.47/25.68	                                    member(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                        arrow_411405190le_alt)),
25.47/25.68	                                    app_encode_app(arrow_411405190le_alt,
25.47/25.68	                                                   product_prod(arrow_411405190le_alt,
25.47/25.68	                                                                arrow_411405190le_alt),
25.47/25.68	                                                   app_encode_app(fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt)),
25.47/25.68	                                                                  app_encode_fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt)),
25.47/25.68	                                                                  aa(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt)),
25.47/25.68	                                                                  app_encode_app(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt)),
25.47/25.68	                                                                  app_encode_app(
25.47/25.68	                                                                  fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt))),
25.47/25.68	                                                                  app_encode_fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt))),
25.47/25.68	                                                                  aa(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  fun(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  product_prod(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt))),
25.47/25.68	                                                                  product_Pair(
25.47/25.68	                                                                  arrow_411405190le_alt,
25.47/25.68	                                                                  arrow_411405190le_alt)),
25.47/25.68	                                                                  b)),
25.47/25.68	                                                   a)),
25.47/25.68	                     Lba) =>
25.47/25.68	      (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                           arrow_411405190le_alt),
25.47/25.68	                              bool),
25.47/25.68	                          bool),
25.47/25.68	                      $o,
25.47/25.68	                      app_encode_app(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                      arrow_411405190le_alt),
25.47/25.68	                                         bool),
25.47/25.68	                                     app_encode_fun(fun(fun(product_prod(
25.47/25.68	                                                            arrow_411405190le_alt,
25.47/25.68	                                                            arrow_411405190le_alt),
25.47/25.68	                                                            bool),
25.47/25.68	                                                        bool),
25.47/25.68	                                                    $o),
25.47/25.68	                                     member(fun(product_prod(arrow_411405190le_alt,
25.47/25.68	                                                             arrow_411405190le_alt),
25.47/25.68	                                                bool)),
25.47/25.68	                                     Lba),
25.47/25.68	                      arrow_1985332922le_Lin) =>
25.47/25.68	       thesis)))).
25.47/25.68	tff('2', plain,
25.47/25.68	    ![X400 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool)]:
25.47/25.68	      (thesis
25.47/25.68	       | ~ app_encode_app(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), $o, 
25.47/25.68	             app_encode_app(
25.47/25.68	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               app_encode_fun(
25.47/25.68	                 fun(
25.47/25.68	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                   bool), $o), 
25.47/25.68	               member(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	               app_encode_app(arrow_411405190le_alt, 
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 app_encode_app(
25.47/25.68	                   fun(arrow_411405190le_alt, 
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt)), 
25.47/25.68	                   app_encode_fun(arrow_411405190le_alt, 
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt)), 
25.47/25.68	                   aa(arrow_411405190le_alt, 
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt)), 
25.47/25.68	                   app_encode_app(arrow_411405190le_alt, 
25.47/25.68	                     fun(arrow_411405190le_alt, 
25.47/25.68	                       product_prod(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt)), 
25.47/25.68	                     app_encode_app(
25.47/25.68	                       fun(arrow_411405190le_alt, 
25.47/25.68	                         fun(arrow_411405190le_alt, 
25.47/25.68	                           product_prod(arrow_411405190le_alt, 
25.47/25.68	                             arrow_411405190le_alt))), 
25.47/25.68	                       app_encode_fun(arrow_411405190le_alt, 
25.47/25.68	                         fun(arrow_411405190le_alt, 
25.47/25.68	                           product_prod(arrow_411405190le_alt, 
25.47/25.68	                             arrow_411405190le_alt))), 
25.47/25.68	                       aa(arrow_411405190le_alt, 
25.47/25.68	                         fun(arrow_411405190le_alt, 
25.47/25.68	                           product_prod(arrow_411405190le_alt, 
25.47/25.68	                             arrow_411405190le_alt))), 
25.47/25.68	                       product_Pair(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt)), b)), a)), X400)
25.47/25.68	       | ~ app_encode_app(
25.47/25.68	             fun(
25.47/25.68	               fun(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 bool), bool), $o, 
25.47/25.68	             app_encode_app(
25.47/25.68	               fun(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 bool), 
25.47/25.68	               app_encode_fun(
25.47/25.68	                 fun(
25.47/25.68	                   fun(
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt), bool), bool), $o), 
25.47/25.68	               member(
25.47/25.68	                 fun(
25.47/25.68	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                   bool)), X400), arrow_1985332922le_Lin)),
25.47/25.68	    inference('cnf', [status(esa)], [zf_stmt_115])).
25.47/25.68	tff(zf_stmt_116, conjecture, (thesis)).
25.47/25.68	tff(zf_stmt_0, negated_conjecture, (~thesis)).
25.47/25.68	tff('3', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
25.47/25.68	tff('4', plain,
25.47/25.68	    ![X400 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool)]:
25.47/25.68	      (~ app_encode_app(
25.47/25.68	           fun(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), bool), $o, 
25.47/25.68	           app_encode_app(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), 
25.47/25.68	             app_encode_fun(
25.47/25.68	               fun(
25.47/25.68	                 fun(
25.47/25.68	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                   bool), bool), $o), 
25.47/25.68	             member(
25.47/25.68	               fun(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 bool)), X400), arrow_1985332922le_Lin)
25.47/25.68	       | ~ app_encode_app(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), $o, 
25.47/25.68	             app_encode_app(
25.47/25.68	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               app_encode_fun(
25.47/25.68	                 fun(
25.47/25.68	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                   bool), $o), 
25.47/25.68	               member(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
25.47/25.68	               app_encode_app(arrow_411405190le_alt, 
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 app_encode_app(
25.47/25.68	                   fun(arrow_411405190le_alt, 
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt)), 
25.47/25.68	                   app_encode_fun(arrow_411405190le_alt, 
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt)), 
25.47/25.68	                   aa(arrow_411405190le_alt, 
25.47/25.68	                     product_prod(arrow_411405190le_alt, 
25.47/25.68	                       arrow_411405190le_alt)), 
25.47/25.68	                   app_encode_app(arrow_411405190le_alt, 
25.47/25.68	                     fun(arrow_411405190le_alt, 
25.47/25.68	                       product_prod(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt)), 
25.47/25.68	                     app_encode_app(
25.47/25.68	                       fun(arrow_411405190le_alt, 
25.47/25.68	                         fun(arrow_411405190le_alt, 
25.47/25.68	                           product_prod(arrow_411405190le_alt, 
25.47/25.68	                             arrow_411405190le_alt))), 
25.47/25.68	                       app_encode_fun(arrow_411405190le_alt, 
25.47/25.68	                         fun(arrow_411405190le_alt, 
25.47/25.68	                           product_prod(arrow_411405190le_alt, 
25.47/25.68	                             arrow_411405190le_alt))), 
25.47/25.68	                       aa(arrow_411405190le_alt, 
25.47/25.68	                         fun(arrow_411405190le_alt, 
25.47/25.68	                           product_prod(arrow_411405190le_alt, 
25.47/25.68	                             arrow_411405190le_alt))), 
25.47/25.68	                       product_Pair(arrow_411405190le_alt, 
25.47/25.68	                         arrow_411405190le_alt)), b)), a)), X400)),
25.47/25.68	    inference('clc', [status(thm)], ['2', '3'])).
25.47/25.68	tff('5', plain,
25.47/25.68	    (~ $true
25.47/25.68	     | b = a
25.47/25.68	     | ~ app_encode_app(
25.47/25.68	           fun(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), bool), $o, 
25.47/25.68	           app_encode_app(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool), 
25.47/25.68	             app_encode_fun(
25.47/25.68	               fun(
25.47/25.68	                 fun(
25.47/25.68	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                   bool), bool), $o), 
25.47/25.68	             member(
25.47/25.68	               fun(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 bool)), sk_X1(b, a)), arrow_1985332922le_Lin)),
25.47/25.68	    inference('sup-', [status(thm)], ['1', '4'])).
25.47/25.68	tff('6', plain,
25.47/25.68	    (~ app_encode_app(
25.47/25.68	         fun(
25.47/25.68	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	             bool), bool), $o, 
25.47/25.68	         app_encode_app(
25.47/25.68	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	             bool), 
25.47/25.68	           app_encode_fun(
25.47/25.68	             fun(
25.47/25.68	               fun(
25.47/25.68	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                 bool), bool), $o), 
25.47/25.68	           member(
25.47/25.68	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	               bool)), sk_X1(b, a)), arrow_1985332922le_Lin)
25.47/25.68	     | b = a),
25.47/25.68	    inference('simplify', [status(thm)], ['5'])).
25.47/25.68	tff(zf_stmt_36, axiom, (a != b)).
25.47/25.68	tff('7', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_36])).
25.47/25.68	tff('8', plain,
25.47/25.68	    ~ app_encode_app(
25.47/25.68	        fun(
25.47/25.68	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	            bool), bool), $o, 
25.47/25.68	        app_encode_app(
25.47/25.68	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	            bool), 
25.47/25.68	          app_encode_fun(
25.47/25.68	            fun(
25.47/25.68	              fun(
25.47/25.68	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	                bool), bool), $o), 
25.47/25.68	          member(
25.47/25.68	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
25.47/25.68	              bool)), sk_X1(b, a)), arrow_1985332922le_Lin),
25.47/25.68	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
25.47/25.68	tff('9', plain, (~ $true | b = a),
25.47/25.68	    inference('sup-', [status(thm)], ['0', '8'])).
25.47/25.68	tff('10', plain, b = a, inference('simplify', [status(thm)], ['9'])).
25.47/25.68	tff('11', plain, $false,
25.47/25.68	    inference('simplify_reflect-', [status(thm)], ['10', '7'])).
25.47/25.68	
25.47/25.68	% SZS output end Refutation
25.47/25.68	EOF
