0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n100.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 13:50:08 CST 2018
33.50/33.69	% done 1165 iterations in 33.483s
33.50/33.69	% SZS status Theorem for 'stdin'
33.50/33.69	% SZS output start Refutation
33.50/33.70	tff(zf_stmt_34, axiom,
33.50/33.70	  (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                       arrow_411405190le_alt),
33.50/33.70	                          bool),
33.50/33.70	                      bool),
33.50/33.70	                  $o,
33.50/33.70	                  app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                  arrow_411405190le_alt),
33.50/33.70	                                     bool),
33.50/33.70	                                 app_encode_fun(fun(fun(product_prod(
33.50/33.70	                                                        arrow_411405190le_alt,
33.50/33.70	                                                        arrow_411405190le_alt),
33.50/33.70	                                                        bool),
33.50/33.70	                                                    bool),
33.50/33.70	                                                $o),
33.50/33.70	                                 member(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                         arrow_411405190le_alt),
33.50/33.70	                                            bool)),
33.50/33.70	                                 r),
33.50/33.70	                  arrow_1985332922le_Lin))).
33.50/33.70	tff('0', plain,
33.50/33.70	    app_encode_app(
33.50/33.70	      fun(
33.50/33.70	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
33.50/33.70	        bool), $o, 
33.50/33.70	      app_encode_app(
33.50/33.70	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
33.50/33.70	        app_encode_fun(
33.50/33.70	          fun(
33.50/33.70	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), bool), $o), 
33.50/33.70	        member(
33.50/33.70	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	            bool)), r), arrow_1985332922le_Lin),
33.50/33.70	    inference('cnf', [status(esa)], [zf_stmt_34])).
33.50/33.70	tff(zf_stmt_46, axiom,
33.50/33.70	  (![X1:arrow_411405190le_alt,
33.50/33.70	     L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
33.50/33.70	     (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                          arrow_411405190le_alt),
33.50/33.70	                             bool),
33.50/33.70	                         bool),
33.50/33.70	                     $o,
33.50/33.70	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                     arrow_411405190le_alt),
33.50/33.70	                                        bool),
33.50/33.70	                                    app_encode_fun(fun(fun(product_prod(
33.50/33.70	                                                           arrow_411405190le_alt,
33.50/33.70	                                                           arrow_411405190le_alt),
33.50/33.70	                                                           bool),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   $o),
33.50/33.70	                                    member(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                            arrow_411405190le_alt),
33.50/33.70	                                               bool)),
33.50/33.70	                                    L),
33.50/33.70	                     arrow_1985332922le_Lin) =>
33.50/33.70	      app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                          arrow_411405190le_alt),
33.50/33.70	                             bool),
33.50/33.70	                         bool),
33.50/33.70	                     $o,
33.50/33.70	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                     arrow_411405190le_alt),
33.50/33.70	                                        bool),
33.50/33.70	                                    app_encode_fun(fun(fun(product_prod(
33.50/33.70	                                                           arrow_411405190le_alt,
33.50/33.70	                                                           arrow_411405190le_alt),
33.50/33.70	                                                           bool),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   $o),
33.50/33.70	                                    member(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                            arrow_411405190le_alt),
33.50/33.70	                                               bool)),
33.50/33.70	                                    app_encode_app(arrow_411405190le_alt,
33.50/33.70	                                                   fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   app_encode_app(fun(
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt),
33.50/33.70	                                                                  bool),
33.50/33.70	                                                                  app_encode_fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt),
33.50/33.70	                                                                  bool)),
33.50/33.70	                                                                  arrow_276188178_mkbot,
33.50/33.70	                                                                  L),
33.50/33.70	                                                   X1)),
33.50/33.70	                     arrow_1985332922le_Lin)))).
33.50/33.70	tff('1', plain,
33.50/33.70	    ![X50 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), 
33.50/33.70	      X51 : arrow_411405190le_alt]:
33.50/33.70	      (app_encode_app(
33.50/33.70	         fun(
33.50/33.70	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool), bool), $o, 
33.50/33.70	         app_encode_app(
33.50/33.70	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool), 
33.50/33.70	           app_encode_fun(
33.50/33.70	             fun(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), bool), $o), 
33.50/33.70	           member(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool)), 
33.50/33.70	           app_encode_app(arrow_411405190le_alt, 
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), 
33.50/33.70	             app_encode_app(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), 
33.50/33.70	               app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool)), arrow_276188178_mkbot, X50), X51)), 
33.50/33.70	         arrow_1985332922le_Lin)
33.50/33.70	       | ~ app_encode_app(
33.50/33.70	             fun(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), bool), $o, 
33.50/33.70	             app_encode_app(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), 
33.50/33.70	               app_encode_fun(
33.50/33.70	                 fun(
33.50/33.70	                   fun(
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt), bool), bool), $o), 
33.50/33.70	               member(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool)), X50), arrow_1985332922le_Lin)),
33.50/33.70	    inference('cnf', [status(esa)], [zf_stmt_46])).
33.50/33.70	tff(zf_stmt_48, axiom,
33.50/33.70	  (![Z:arrow_411405190le_alt,
33.50/33.70	     L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
33.50/33.70	     Y1:arrow_411405190le_alt,X1:arrow_411405190le_alt]:
33.50/33.70	     (app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                      arrow_411405190le_alt),
33.50/33.70	                         bool),
33.50/33.70	                     $o,
33.50/33.70	                     app_encode_app(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                 arrow_411405190le_alt),
33.50/33.70	                                    app_encode_fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   $o),
33.50/33.70	                                    member(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                        arrow_411405190le_alt)),
33.50/33.70	                                    app_encode_app(arrow_411405190le_alt,
33.50/33.70	                                                   product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                arrow_411405190le_alt),
33.50/33.70	                                                   app_encode_app(fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  app_encode_fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  aa(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  app_encode_app(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  app_encode_app(
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt))),
33.50/33.70	                                                                  app_encode_fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt))),
33.50/33.70	                                                                  aa(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt))),
33.50/33.70	                                                                  product_Pair(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  X1)),
33.50/33.70	                                                   Y1)),
33.50/33.70	                     app_encode_app(arrow_411405190le_alt,
33.50/33.70	                                    fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                     arrow_411405190le_alt),
33.50/33.70	                                        bool),
33.50/33.70	                                    app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   app_encode_fun(arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt),
33.50/33.70	                                                                  bool)),
33.50/33.70	                                                   arrow_276188178_mkbot,L),
33.50/33.70	                                    Z)) <=>
33.50/33.70	      ((Y1 != Z) & ((X1 = Z) => (X1 != Y1)) & 
33.50/33.70	       ((X1 != Z) =>
33.50/33.70	        app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                        arrow_411405190le_alt),
33.50/33.70	                           bool),
33.50/33.70	                       $o,
33.50/33.70	                       app_encode_app(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                   arrow_411405190le_alt),
33.50/33.70	                                      app_encode_fun(fun(product_prod(
33.50/33.70	                                                         arrow_411405190le_alt,
33.50/33.70	                                                         arrow_411405190le_alt),
33.50/33.70	                                                         bool),
33.50/33.70	                                                     $o),
33.50/33.70	                                      member(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                          arrow_411405190le_alt)),
33.50/33.70	                                      app_encode_app(arrow_411405190le_alt,
33.50/33.70	                                                     product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt),
33.50/33.70	                                                     app_encode_app(fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    app_encode_fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    aa(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    app_encode_app(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    app_encode_app(
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt))),
33.50/33.70	                                                                    app_encode_fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt))),
33.50/33.70	                                                                    aa(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt))),
33.50/33.70	                                                                    product_Pair(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    X1)),
33.50/33.70	                                                     Y1)),
33.50/33.70	                       L)))))).
33.50/33.70	tff('2', plain,
33.50/33.70	    ![X54 : arrow_411405190le_alt, X55 : arrow_411405190le_alt, 
33.50/33.70	      X57 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), 
33.50/33.70	      X58 : arrow_411405190le_alt]:
33.50/33.70	      (app_encode_app(
33.50/33.70	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	           bool), $o, 
33.50/33.70	         app_encode_app(
33.50/33.70	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	           app_encode_fun(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), $o), 
33.50/33.70	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	           app_encode_app(arrow_411405190le_alt, 
33.50/33.70	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             app_encode_app(
33.50/33.70	               fun(arrow_411405190le_alt, 
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	               app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	               aa(arrow_411405190le_alt, 
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	               app_encode_app(arrow_411405190le_alt, 
33.50/33.70	                 fun(arrow_411405190le_alt, 
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	                 app_encode_app(
33.50/33.70	                   fun(arrow_411405190le_alt, 
33.50/33.70	                     fun(arrow_411405190le_alt, 
33.50/33.70	                       product_prod(arrow_411405190le_alt, 
33.50/33.70	                         arrow_411405190le_alt))), 
33.50/33.70	                   app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                     fun(arrow_411405190le_alt, 
33.50/33.70	                       product_prod(arrow_411405190le_alt, 
33.50/33.70	                         arrow_411405190le_alt))), 
33.50/33.70	                   aa(arrow_411405190le_alt, 
33.50/33.70	                     fun(arrow_411405190le_alt, 
33.50/33.70	                       product_prod(arrow_411405190le_alt, 
33.50/33.70	                         arrow_411405190le_alt))), 
33.50/33.70	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	                 X58)), X55)), 
33.50/33.70	         app_encode_app(arrow_411405190le_alt, 
33.50/33.70	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool), 
33.50/33.70	           app_encode_app(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), 
33.50/33.70	             app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool)), arrow_276188178_mkbot, X57), X54))
33.50/33.70	       | X58 != X54
33.50/33.70	       | X58 = X55
33.50/33.70	       | X55 = X54),
33.50/33.70	    inference('cnf', [status(esa)], [zf_stmt_48])).
33.50/33.70	tff('3', plain,
33.50/33.70	    ![X54 : arrow_411405190le_alt, X55 : arrow_411405190le_alt, 
33.50/33.70	      X57 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool)]:
33.50/33.70	      (X54 = X55
33.50/33.70	       | app_encode_app(
33.50/33.70	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool), $o, 
33.50/33.70	           app_encode_app(
33.50/33.70	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             app_encode_fun(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), $o), 
33.50/33.70	             member(
33.50/33.70	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	             app_encode_app(arrow_411405190le_alt, 
33.50/33.70	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               app_encode_app(
33.50/33.70	                 fun(arrow_411405190le_alt, 
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	                 app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	                 aa(arrow_411405190le_alt, 
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	                 app_encode_app(arrow_411405190le_alt, 
33.50/33.70	                   fun(arrow_411405190le_alt, 
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt)), 
33.50/33.70	                   app_encode_app(
33.50/33.70	                     fun(arrow_411405190le_alt, 
33.50/33.70	                       fun(arrow_411405190le_alt, 
33.50/33.70	                         product_prod(arrow_411405190le_alt, 
33.50/33.70	                           arrow_411405190le_alt))), 
33.50/33.70	                     app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                       fun(arrow_411405190le_alt, 
33.50/33.70	                         product_prod(arrow_411405190le_alt, 
33.50/33.70	                           arrow_411405190le_alt))), 
33.50/33.70	                     aa(arrow_411405190le_alt, 
33.50/33.70	                       fun(arrow_411405190le_alt, 
33.50/33.70	                         product_prod(arrow_411405190le_alt, 
33.50/33.70	                           arrow_411405190le_alt))), 
33.50/33.70	                     product_Pair(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt)), X54)), X55)), 
33.50/33.70	           app_encode_app(arrow_411405190le_alt, 
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), 
33.50/33.70	             app_encode_app(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), 
33.50/33.70	               app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool)), arrow_276188178_mkbot, X57), X54))),
33.50/33.70	    inference('simplify', [status(thm)], ['2'])).
33.50/33.70	tff(zf_stmt_133, conjecture,
33.50/33.70	  (?[X:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
33.50/33.70	     (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                          arrow_411405190le_alt),
33.50/33.70	                             bool),
33.50/33.70	                         bool),
33.50/33.70	                     $o,
33.50/33.70	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                     arrow_411405190le_alt),
33.50/33.70	                                        bool),
33.50/33.70	                                    app_encode_fun(fun(fun(product_prod(
33.50/33.70	                                                           arrow_411405190le_alt,
33.50/33.70	                                                           arrow_411405190le_alt),
33.50/33.70	                                                           bool),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   $o),
33.50/33.70	                                    member(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                            arrow_411405190le_alt),
33.50/33.70	                                               bool)),
33.50/33.70	                                    X),
33.50/33.70	                     arrow_1985332922le_Lin) & 
33.50/33.70	      app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                      arrow_411405190le_alt),
33.50/33.70	                         bool),
33.50/33.70	                     $o,
33.50/33.70	                     app_encode_app(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                 arrow_411405190le_alt),
33.50/33.70	                                    app_encode_fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt),
33.50/33.70	                                                       bool),
33.50/33.70	                                                   $o),
33.50/33.70	                                    member(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                        arrow_411405190le_alt)),
33.50/33.70	                                    app_encode_app(arrow_411405190le_alt,
33.50/33.70	                                                   product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                arrow_411405190le_alt),
33.50/33.70	                                                   app_encode_app(fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  app_encode_fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  aa(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  app_encode_app(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  app_encode_app(
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt))),
33.50/33.70	                                                                  app_encode_fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt))),
33.50/33.70	                                                                  aa(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  fun(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  product_prod(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt))),
33.50/33.70	                                                                  product_Pair(
33.50/33.70	                                                                  arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt)),
33.50/33.70	                                                                  a)),
33.50/33.70	                                                   b)),
33.50/33.70	                     X)))).
33.50/33.70	tff(zf_stmt_0, negated_conjecture,
33.50/33.70	  (~
33.50/33.70	    (?[X:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
33.50/33.70	       (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                            arrow_411405190le_alt),
33.50/33.70	                               bool),
33.50/33.70	                           bool),
33.50/33.70	                       $o,
33.50/33.70	                       app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                       arrow_411405190le_alt),
33.50/33.70	                                          bool),
33.50/33.70	                                      app_encode_fun(fun(fun(product_prod(
33.50/33.70	                                                             arrow_411405190le_alt,
33.50/33.70	                                                             arrow_411405190le_alt),
33.50/33.70	                                                             bool),
33.50/33.70	                                                         bool),
33.50/33.70	                                                     $o),
33.50/33.70	                                      member(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                              arrow_411405190le_alt),
33.50/33.70	                                                 bool)),
33.50/33.70	                                      X),
33.50/33.70	                       arrow_1985332922le_Lin) & 
33.50/33.70	        app_encode_app(fun(product_prod(arrow_411405190le_alt,
33.50/33.70	                                        arrow_411405190le_alt),
33.50/33.70	                           bool),
33.50/33.70	                       $o,
33.50/33.70	                       app_encode_app(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                   arrow_411405190le_alt),
33.50/33.70	                                      app_encode_fun(fun(product_prod(
33.50/33.70	                                                         arrow_411405190le_alt,
33.50/33.70	                                                         arrow_411405190le_alt),
33.50/33.70	                                                         bool),
33.50/33.70	                                                     $o),
33.50/33.70	                                      member(product_prod(arrow_411405190le_alt,
33.50/33.70	                                                          arrow_411405190le_alt)),
33.50/33.70	                                      app_encode_app(arrow_411405190le_alt,
33.50/33.70	                                                     product_prod(arrow_411405190le_alt,
33.50/33.70	                                                                  arrow_411405190le_alt),
33.50/33.70	                                                     app_encode_app(fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    app_encode_fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    aa(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    app_encode_app(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    app_encode_app(
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt))),
33.50/33.70	                                                                    app_encode_fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt))),
33.50/33.70	                                                                    aa(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    fun(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    product_prod(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt))),
33.50/33.70	                                                                    product_Pair(
33.50/33.70	                                                                    arrow_411405190le_alt,
33.50/33.70	                                                                    arrow_411405190le_alt)),
33.50/33.70	                                                                    a)),
33.50/33.70	                                                     b)),
33.50/33.70	                       X))))).
33.50/33.70	tff('4', plain,
33.50/33.70	    ![X522 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool)]:
33.50/33.70	      (~ app_encode_app(
33.50/33.70	           fun(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), bool), $o, 
33.50/33.70	           app_encode_app(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), 
33.50/33.70	             app_encode_fun(
33.50/33.70	               fun(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool), bool), $o), 
33.50/33.70	             member(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool)), X522), arrow_1985332922le_Lin)
33.50/33.70	       | ~ app_encode_app(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), $o, 
33.50/33.70	             app_encode_app(
33.50/33.70	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               app_encode_fun(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool), $o), 
33.50/33.70	               member(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
33.50/33.70	               app_encode_app(arrow_411405190le_alt, 
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 app_encode_app(
33.50/33.70	                   fun(arrow_411405190le_alt, 
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt)), 
33.50/33.70	                   app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt)), 
33.50/33.70	                   aa(arrow_411405190le_alt, 
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt)), 
33.50/33.70	                   app_encode_app(arrow_411405190le_alt, 
33.50/33.70	                     fun(arrow_411405190le_alt, 
33.50/33.70	                       product_prod(arrow_411405190le_alt, 
33.50/33.70	                         arrow_411405190le_alt)), 
33.50/33.70	                     app_encode_app(
33.50/33.70	                       fun(arrow_411405190le_alt, 
33.50/33.70	                         fun(arrow_411405190le_alt, 
33.50/33.70	                           product_prod(arrow_411405190le_alt, 
33.50/33.70	                             arrow_411405190le_alt))), 
33.50/33.70	                       app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                         fun(arrow_411405190le_alt, 
33.50/33.70	                           product_prod(arrow_411405190le_alt, 
33.50/33.70	                             arrow_411405190le_alt))), 
33.50/33.70	                       aa(arrow_411405190le_alt, 
33.50/33.70	                         fun(arrow_411405190le_alt, 
33.50/33.70	                           product_prod(arrow_411405190le_alt, 
33.50/33.70	                             arrow_411405190le_alt))), 
33.50/33.70	                       product_Pair(arrow_411405190le_alt, 
33.50/33.70	                         arrow_411405190le_alt)), a)), b)), X522)),
33.50/33.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
33.50/33.70	tff('5', plain,
33.50/33.70	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool)]:
33.50/33.70	      (~ $true
33.50/33.70	       | a = b
33.50/33.70	       | ~ app_encode_app(
33.50/33.70	             fun(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), bool), $o, 
33.50/33.70	             app_encode_app(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), 
33.50/33.70	               app_encode_fun(
33.50/33.70	                 fun(
33.50/33.70	                   fun(
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt), bool), bool), $o), 
33.50/33.70	               member(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool)), 
33.50/33.70	               app_encode_app(arrow_411405190le_alt, 
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool), 
33.50/33.70	                 app_encode_app(
33.50/33.70	                   fun(
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt), bool), 
33.50/33.70	                   app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                     fun(
33.50/33.70	                       product_prod(arrow_411405190le_alt, 
33.50/33.70	                         arrow_411405190le_alt), bool)), 
33.50/33.70	                   arrow_276188178_mkbot, X0), a)), arrow_1985332922le_Lin)),
33.50/33.70	    inference('sup-', [status(thm)], ['3', '4'])).
33.50/33.70	tff('6', plain,
33.50/33.70	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool)]:
33.50/33.70	      (~ app_encode_app(
33.50/33.70	           fun(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), bool), $o, 
33.50/33.70	           app_encode_app(
33.50/33.70	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	               bool), 
33.50/33.70	             app_encode_fun(
33.50/33.70	               fun(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool), bool), $o), 
33.50/33.70	             member(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool)), 
33.50/33.70	             app_encode_app(arrow_411405190le_alt, 
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), 
33.50/33.70	               app_encode_app(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool), 
33.50/33.70	                 app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                   fun(
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt), bool)), 
33.50/33.70	                 arrow_276188178_mkbot, X0), a)), arrow_1985332922le_Lin)
33.50/33.70	       | a = b),
33.50/33.70	    inference('simplify', [status(thm)], ['5'])).
33.50/33.70	tff(zf_stmt_36, axiom, (a != b)).
33.50/33.70	tff('7', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_36])).
33.50/33.70	tff('8', plain,
33.50/33.70	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool)]:
33.50/33.70	      ~ app_encode_app(
33.50/33.70	          fun(
33.50/33.70	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), bool), $o, 
33.50/33.70	          app_encode_app(
33.50/33.70	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), 
33.50/33.70	            app_encode_fun(
33.50/33.70	              fun(
33.50/33.70	                fun(
33.50/33.70	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                  bool), bool), $o), 
33.50/33.70	            member(
33.50/33.70	              fun(
33.50/33.70	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                bool)), 
33.50/33.70	            app_encode_app(arrow_411405190le_alt, 
33.50/33.70	              fun(
33.50/33.70	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                bool), 
33.50/33.70	              app_encode_app(
33.50/33.70	                fun(
33.50/33.70	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                  bool), 
33.50/33.70	                app_encode_fun(arrow_411405190le_alt, 
33.50/33.70	                  fun(
33.50/33.70	                    product_prod(arrow_411405190le_alt, 
33.50/33.70	                      arrow_411405190le_alt), bool)), arrow_276188178_mkbot, 
33.50/33.70	                X0), a)), arrow_1985332922le_Lin),
33.50/33.70	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
33.50/33.70	tff('9', plain,
33.50/33.70	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool)]:
33.50/33.70	      (~ $true
33.50/33.70	       | ~ app_encode_app(
33.50/33.70	             fun(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), bool), $o, 
33.50/33.70	             app_encode_app(
33.50/33.70	               fun(
33.50/33.70	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                 bool), 
33.50/33.70	               app_encode_fun(
33.50/33.70	                 fun(
33.50/33.70	                   fun(
33.50/33.70	                     product_prod(arrow_411405190le_alt, 
33.50/33.70	                       arrow_411405190le_alt), bool), bool), $o), 
33.50/33.70	               member(
33.50/33.70	                 fun(
33.50/33.70	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                   bool)), X0), arrow_1985332922le_Lin)),
33.50/33.70	    inference('sup-', [status(thm)], ['1', '8'])).
33.50/33.70	tff('10', plain,
33.50/33.70	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	             bool)]:
33.50/33.70	      ~ app_encode_app(
33.50/33.70	          fun(
33.50/33.70	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), bool), $o, 
33.50/33.70	          app_encode_app(
33.50/33.70	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	              bool), 
33.50/33.70	            app_encode_fun(
33.50/33.70	              fun(
33.50/33.70	                fun(
33.50/33.70	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                  bool), bool), $o), 
33.50/33.70	            member(
33.50/33.70	              fun(
33.50/33.70	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
33.50/33.70	                bool)), X0), arrow_1985332922le_Lin),
33.50/33.70	    inference('simplify', [status(thm)], ['9'])).
33.50/33.70	tff('11', plain, ~ $true, inference('sup-', [status(thm)], ['0', '10'])).
33.50/33.70	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
33.50/33.70	
33.50/33.70	% SZS output end Refutation
33.50/33.70	EOF
