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   : n156.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 13:50:54 CST 2018
29.85/30.00	% done 1119 iterations in 29.796s
29.85/30.16	% SZS status Theorem for 'stdin'
29.85/30.16	% SZS output start Refutation
29.85/30.16	tff(zf_stmt_38, axiom,
29.85/30.16	  (?[L1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
29.85/30.16	     app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                         arrow_411405190le_alt),
29.85/30.16	                            bool),
29.85/30.16	                        bool),
29.85/30.16	                    $o,
29.85/30.16	                    app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                    arrow_411405190le_alt),
29.85/30.16	                                       bool),
29.85/30.16	                                   app_encode_fun(fun(fun(product_prod(
29.85/30.16	                                                          arrow_411405190le_alt,
29.85/30.16	                                                          arrow_411405190le_alt),
29.85/30.16	                                                          bool),
29.85/30.16	                                                      bool),
29.85/30.16	                                                  $o),
29.85/30.16	                                   member(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                           arrow_411405190le_alt),
29.85/30.16	                                              bool)),
29.85/30.16	                                   L1),
29.85/30.16	                    arrow_1985332922le_Lin))).
29.85/30.16	tff('0', plain,
29.85/30.16	    app_encode_app(
29.85/30.16	      fun(
29.85/30.16	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
29.85/30.16	        bool), $o, 
29.85/30.16	      app_encode_app(
29.85/30.16	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
29.85/30.16	        app_encode_fun(
29.85/30.16	          fun(
29.85/30.16	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	              bool), bool), $o), 
29.85/30.16	        member(
29.85/30.16	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	            bool)), sk_L1), arrow_1985332922le_Lin),
29.85/30.16	    inference('cnf', [status(esa)], [zf_stmt_38])).
29.85/30.16	tff(zf_stmt_41, axiom,
29.85/30.16	  (![X1:arrow_411405190le_alt,
29.85/30.16	     L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
29.85/30.16	     (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                          arrow_411405190le_alt),
29.85/30.16	                             bool),
29.85/30.16	                         bool),
29.85/30.16	                     $o,
29.85/30.16	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                     arrow_411405190le_alt),
29.85/30.16	                                        bool),
29.85/30.16	                                    app_encode_fun(fun(fun(product_prod(
29.85/30.16	                                                           arrow_411405190le_alt,
29.85/30.16	                                                           arrow_411405190le_alt),
29.85/30.16	                                                           bool),
29.85/30.16	                                                       bool),
29.85/30.16	                                                   $o),
29.85/30.16	                                    member(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                            arrow_411405190le_alt),
29.85/30.16	                                               bool)),
29.85/30.16	                                    L),
29.85/30.16	                     arrow_1985332922le_Lin) =>
29.85/30.16	      app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                          arrow_411405190le_alt),
29.85/30.16	                             bool),
29.85/30.16	                         bool),
29.85/30.16	                     $o,
29.85/30.16	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                     arrow_411405190le_alt),
29.85/30.16	                                        bool),
29.85/30.16	                                    app_encode_fun(fun(fun(product_prod(
29.85/30.16	                                                           arrow_411405190le_alt,
29.85/30.16	                                                           arrow_411405190le_alt),
29.85/30.16	                                                           bool),
29.85/30.16	                                                       bool),
29.85/30.16	                                                   $o),
29.85/30.16	                                    member(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                            arrow_411405190le_alt),
29.85/30.16	                                               bool)),
29.85/30.16	                                    app_encode_app(arrow_411405190le_alt,
29.85/30.16	                                                   fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                                    arrow_411405190le_alt),
29.85/30.16	                                                       bool),
29.85/30.16	                                                   app_encode_app(fun(
29.85/30.16	                                                                  product_prod(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  arrow_411405190le_alt),
29.85/30.16	                                                                  bool),
29.85/30.16	                                                                  app_encode_fun(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  fun(
29.85/30.16	                                                                  product_prod(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  arrow_411405190le_alt),
29.85/30.16	                                                                  bool)),
29.85/30.16	                                                                  arrow_276188178_mkbot,
29.85/30.16	                                                                  L),
29.85/30.16	                                                   X1)),
29.85/30.16	                     arrow_1985332922le_Lin)))).
29.85/30.16	tff('1', plain,
29.85/30.16	    ![X46 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	              bool), 
29.85/30.16	      X47 : arrow_411405190le_alt]:
29.85/30.16	      (app_encode_app(
29.85/30.16	         fun(
29.85/30.16	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	             bool), bool), $o, 
29.85/30.16	         app_encode_app(
29.85/30.16	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	             bool), 
29.85/30.16	           app_encode_fun(
29.85/30.16	             fun(
29.85/30.16	               fun(
29.85/30.16	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	                 bool), bool), $o), 
29.85/30.16	           member(
29.85/30.16	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	               bool)), 
29.85/30.16	           app_encode_app(arrow_411405190le_alt, 
29.85/30.16	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	               bool), 
29.85/30.16	             app_encode_app(
29.85/30.16	               fun(
29.85/30.16	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	                 bool), 
29.85/30.16	               app_encode_fun(arrow_411405190le_alt, 
29.85/30.16	                 fun(
29.85/30.16	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	                   bool)), arrow_276188178_mkbot, X46), X47)), 
29.85/30.16	         arrow_1985332922le_Lin)
29.85/30.16	       | ~ app_encode_app(
29.85/30.16	             fun(
29.85/30.16	               fun(
29.85/30.16	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	                 bool), bool), $o, 
29.85/30.16	             app_encode_app(
29.85/30.16	               fun(
29.85/30.16	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	                 bool), 
29.85/30.16	               app_encode_fun(
29.85/30.16	                 fun(
29.85/30.16	                   fun(
29.85/30.16	                     product_prod(arrow_411405190le_alt, 
29.85/30.16	                       arrow_411405190le_alt), bool), bool), $o), 
29.85/30.16	               member(
29.85/30.16	                 fun(
29.85/30.16	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.16	                   bool)), X46), arrow_1985332922le_Lin)),
29.85/30.16	    inference('cnf', [status(esa)], [zf_stmt_41])).
29.85/30.16	tff(zf_stmt_43, axiom,
29.85/30.16	  (![Z:arrow_411405190le_alt,
29.85/30.16	     L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
29.85/30.16	     Y1:arrow_411405190le_alt,X1:arrow_411405190le_alt]:
29.85/30.16	     (app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                      arrow_411405190le_alt),
29.85/30.16	                         bool),
29.85/30.16	                     $o,
29.85/30.16	                     app_encode_app(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                 arrow_411405190le_alt),
29.85/30.16	                                    app_encode_fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                                    arrow_411405190le_alt),
29.85/30.16	                                                       bool),
29.85/30.16	                                                   $o),
29.85/30.16	                                    member(product_prod(arrow_411405190le_alt,
29.85/30.16	                                                        arrow_411405190le_alt)),
29.85/30.16	                                    app_encode_app(arrow_411405190le_alt,
29.85/30.16	                                                   product_prod(arrow_411405190le_alt,
29.85/30.16	                                                                arrow_411405190le_alt),
29.85/30.16	                                                   app_encode_app(fun(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  product_prod(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  arrow_411405190le_alt)),
29.85/30.16	                                                                  app_encode_fun(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  product_prod(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  arrow_411405190le_alt)),
29.85/30.16	                                                                  aa(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.16	                                                                  product_prod(
29.85/30.16	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  app_encode_app(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  app_encode_app(
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt))),
29.85/30.17	                                                                  app_encode_fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt))),
29.85/30.17	                                                                  aa(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt))),
29.85/30.17	                                                                  product_Pair(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  X1)),
29.85/30.17	                                                   Y1)),
29.85/30.17	                     app_encode_app(arrow_411405190le_alt,
29.85/30.17	                                    fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                     arrow_411405190le_alt),
29.85/30.17	                                        bool),
29.85/30.17	                                    app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt),
29.85/30.17	                                                       bool),
29.85/30.17	                                                   app_encode_fun(arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt),
29.85/30.17	                                                                  bool)),
29.85/30.17	                                                   arrow_276188178_mkbot,L),
29.85/30.17	                                    Z)) <=>
29.85/30.17	      ((Y1 != Z) & ((X1 = Z) => (X1 != Y1)) & 
29.85/30.17	       ((X1 != Z) =>
29.85/30.17	        app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                        arrow_411405190le_alt),
29.85/30.17	                           bool),
29.85/30.17	                       $o,
29.85/30.17	                       app_encode_app(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                   arrow_411405190le_alt),
29.85/30.17	                                      app_encode_fun(fun(product_prod(
29.85/30.17	                                                         arrow_411405190le_alt,
29.85/30.17	                                                         arrow_411405190le_alt),
29.85/30.17	                                                         bool),
29.85/30.17	                                                     $o),
29.85/30.17	                                      member(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                          arrow_411405190le_alt)),
29.85/30.17	                                      app_encode_app(arrow_411405190le_alt,
29.85/30.17	                                                     product_prod(arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt),
29.85/30.17	                                                     app_encode_app(fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    app_encode_fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    aa(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    app_encode_app(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    app_encode_app(
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt))),
29.85/30.17	                                                                    app_encode_fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt))),
29.85/30.17	                                                                    aa(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt))),
29.85/30.17	                                                                    product_Pair(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    X1)),
29.85/30.17	                                                     Y1)),
29.85/30.17	                       L)))))).
29.85/30.17	tff('2', plain,
29.85/30.17	    ![X50 : arrow_411405190le_alt, X51 : arrow_411405190le_alt, 
29.85/30.17	      X53 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	              bool), 
29.85/30.17	      X54 : arrow_411405190le_alt]:
29.85/30.17	      (app_encode_app(
29.85/30.17	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	           bool), $o, 
29.85/30.17	         app_encode_app(
29.85/30.17	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	           app_encode_fun(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), $o), 
29.85/30.17	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	           app_encode_app(arrow_411405190le_alt, 
29.85/30.17	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             app_encode_app(
29.85/30.17	               fun(arrow_411405190le_alt, 
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	               app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	               aa(arrow_411405190le_alt, 
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	               app_encode_app(arrow_411405190le_alt, 
29.85/30.17	                 fun(arrow_411405190le_alt, 
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	                 app_encode_app(
29.85/30.17	                   fun(arrow_411405190le_alt, 
29.85/30.17	                     fun(arrow_411405190le_alt, 
29.85/30.17	                       product_prod(arrow_411405190le_alt, 
29.85/30.17	                         arrow_411405190le_alt))), 
29.85/30.17	                   app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                     fun(arrow_411405190le_alt, 
29.85/30.17	                       product_prod(arrow_411405190le_alt, 
29.85/30.17	                         arrow_411405190le_alt))), 
29.85/30.17	                   aa(arrow_411405190le_alt, 
29.85/30.17	                     fun(arrow_411405190le_alt, 
29.85/30.17	                       product_prod(arrow_411405190le_alt, 
29.85/30.17	                         arrow_411405190le_alt))), 
29.85/30.17	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	                 X54)), X51)), 
29.85/30.17	         app_encode_app(arrow_411405190le_alt, 
29.85/30.17	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool), 
29.85/30.17	           app_encode_app(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), 
29.85/30.17	             app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool)), arrow_276188178_mkbot, X53), X50))
29.85/30.17	       | X54 != X50
29.85/30.17	       | X54 = X51
29.85/30.17	       | X51 = X50),
29.85/30.17	    inference('cnf', [status(esa)], [zf_stmt_43])).
29.85/30.17	tff('3', plain,
29.85/30.17	    ![X50 : arrow_411405190le_alt, X51 : arrow_411405190le_alt, 
29.85/30.17	      X53 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	              bool)]:
29.85/30.17	      (X50 = X51
29.85/30.17	       | app_encode_app(
29.85/30.17	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool), $o, 
29.85/30.17	           app_encode_app(
29.85/30.17	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             app_encode_fun(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), $o), 
29.85/30.17	             member(
29.85/30.17	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	             app_encode_app(arrow_411405190le_alt, 
29.85/30.17	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               app_encode_app(
29.85/30.17	                 fun(arrow_411405190le_alt, 
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	                 app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	                 aa(arrow_411405190le_alt, 
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	                 app_encode_app(arrow_411405190le_alt, 
29.85/30.17	                   fun(arrow_411405190le_alt, 
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt)), 
29.85/30.17	                   app_encode_app(
29.85/30.17	                     fun(arrow_411405190le_alt, 
29.85/30.17	                       fun(arrow_411405190le_alt, 
29.85/30.17	                         product_prod(arrow_411405190le_alt, 
29.85/30.17	                           arrow_411405190le_alt))), 
29.85/30.17	                     app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                       fun(arrow_411405190le_alt, 
29.85/30.17	                         product_prod(arrow_411405190le_alt, 
29.85/30.17	                           arrow_411405190le_alt))), 
29.85/30.17	                     aa(arrow_411405190le_alt, 
29.85/30.17	                       fun(arrow_411405190le_alt, 
29.85/30.17	                         product_prod(arrow_411405190le_alt, 
29.85/30.17	                           arrow_411405190le_alt))), 
29.85/30.17	                     product_Pair(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt)), X50)), X51)), 
29.85/30.17	           app_encode_app(arrow_411405190le_alt, 
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), 
29.85/30.17	             app_encode_app(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), 
29.85/30.17	               app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool)), arrow_276188178_mkbot, X53), X50))),
29.85/30.17	    inference('simplify', [status(thm)], ['2'])).
29.85/30.17	tff(zf_stmt_127, conjecture,
29.85/30.17	  (?[X:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
29.85/30.17	     (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                          arrow_411405190le_alt),
29.85/30.17	                             bool),
29.85/30.17	                         bool),
29.85/30.17	                     $o,
29.85/30.17	                     app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                     arrow_411405190le_alt),
29.85/30.17	                                        bool),
29.85/30.17	                                    app_encode_fun(fun(fun(product_prod(
29.85/30.17	                                                           arrow_411405190le_alt,
29.85/30.17	                                                           arrow_411405190le_alt),
29.85/30.17	                                                           bool),
29.85/30.17	                                                       bool),
29.85/30.17	                                                   $o),
29.85/30.17	                                    member(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                            arrow_411405190le_alt),
29.85/30.17	                                               bool)),
29.85/30.17	                                    X),
29.85/30.17	                     arrow_1985332922le_Lin) & 
29.85/30.17	      app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                      arrow_411405190le_alt),
29.85/30.17	                         bool),
29.85/30.17	                     $o,
29.85/30.17	                     app_encode_app(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                 arrow_411405190le_alt),
29.85/30.17	                                    app_encode_fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt),
29.85/30.17	                                                       bool),
29.85/30.17	                                                   $o),
29.85/30.17	                                    member(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                        arrow_411405190le_alt)),
29.85/30.17	                                    app_encode_app(arrow_411405190le_alt,
29.85/30.17	                                                   product_prod(arrow_411405190le_alt,
29.85/30.17	                                                                arrow_411405190le_alt),
29.85/30.17	                                                   app_encode_app(fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  app_encode_fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  aa(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  app_encode_app(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  app_encode_app(
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt))),
29.85/30.17	                                                                  app_encode_fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt))),
29.85/30.17	                                                                  aa(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  fun(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  product_prod(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt))),
29.85/30.17	                                                                  product_Pair(
29.85/30.17	                                                                  arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt)),
29.85/30.17	                                                                  a)),
29.85/30.17	                                                   b)),
29.85/30.17	                     X)))).
29.85/30.17	tff(zf_stmt_0, negated_conjecture,
29.85/30.17	  (~
29.85/30.17	    (?[X:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
29.85/30.17	       (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                            arrow_411405190le_alt),
29.85/30.17	                               bool),
29.85/30.17	                           bool),
29.85/30.17	                       $o,
29.85/30.17	                       app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                       arrow_411405190le_alt),
29.85/30.17	                                          bool),
29.85/30.17	                                      app_encode_fun(fun(fun(product_prod(
29.85/30.17	                                                             arrow_411405190le_alt,
29.85/30.17	                                                             arrow_411405190le_alt),
29.85/30.17	                                                             bool),
29.85/30.17	                                                         bool),
29.85/30.17	                                                     $o),
29.85/30.17	                                      member(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                              arrow_411405190le_alt),
29.85/30.17	                                                 bool)),
29.85/30.17	                                      X),
29.85/30.17	                       arrow_1985332922le_Lin) & 
29.85/30.17	        app_encode_app(fun(product_prod(arrow_411405190le_alt,
29.85/30.17	                                        arrow_411405190le_alt),
29.85/30.17	                           bool),
29.85/30.17	                       $o,
29.85/30.17	                       app_encode_app(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                   arrow_411405190le_alt),
29.85/30.17	                                      app_encode_fun(fun(product_prod(
29.85/30.17	                                                         arrow_411405190le_alt,
29.85/30.17	                                                         arrow_411405190le_alt),
29.85/30.17	                                                         bool),
29.85/30.17	                                                     $o),
29.85/30.17	                                      member(product_prod(arrow_411405190le_alt,
29.85/30.17	                                                          arrow_411405190le_alt)),
29.85/30.17	                                      app_encode_app(arrow_411405190le_alt,
29.85/30.17	                                                     product_prod(arrow_411405190le_alt,
29.85/30.17	                                                                  arrow_411405190le_alt),
29.85/30.17	                                                     app_encode_app(fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    app_encode_fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    aa(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    app_encode_app(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    app_encode_app(
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt))),
29.85/30.17	                                                                    app_encode_fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt))),
29.85/30.17	                                                                    aa(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    fun(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    product_prod(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt))),
29.85/30.17	                                                                    product_Pair(
29.85/30.17	                                                                    arrow_411405190le_alt,
29.85/30.17	                                                                    arrow_411405190le_alt)),
29.85/30.17	                                                                    a)),
29.85/30.17	                                                     b)),
29.85/30.17	                       X))))).
29.85/30.17	tff('4', plain,
29.85/30.17	    ![X509 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool)]:
29.85/30.17	      (~ app_encode_app(
29.85/30.17	           fun(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), bool), $o, 
29.85/30.17	           app_encode_app(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), 
29.85/30.17	             app_encode_fun(
29.85/30.17	               fun(
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool), bool), $o), 
29.85/30.17	             member(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool)), X509), arrow_1985332922le_Lin)
29.85/30.17	       | ~ app_encode_app(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), $o, 
29.85/30.17	             app_encode_app(
29.85/30.17	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               app_encode_fun(
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool), $o), 
29.85/30.17	               member(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
29.85/30.17	               app_encode_app(arrow_411405190le_alt, 
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 app_encode_app(
29.85/30.17	                   fun(arrow_411405190le_alt, 
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt)), 
29.85/30.17	                   app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt)), 
29.85/30.17	                   aa(arrow_411405190le_alt, 
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt)), 
29.85/30.17	                   app_encode_app(arrow_411405190le_alt, 
29.85/30.17	                     fun(arrow_411405190le_alt, 
29.85/30.17	                       product_prod(arrow_411405190le_alt, 
29.85/30.17	                         arrow_411405190le_alt)), 
29.85/30.17	                     app_encode_app(
29.85/30.17	                       fun(arrow_411405190le_alt, 
29.85/30.17	                         fun(arrow_411405190le_alt, 
29.85/30.17	                           product_prod(arrow_411405190le_alt, 
29.85/30.17	                             arrow_411405190le_alt))), 
29.85/30.17	                       app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                         fun(arrow_411405190le_alt, 
29.85/30.17	                           product_prod(arrow_411405190le_alt, 
29.85/30.17	                             arrow_411405190le_alt))), 
29.85/30.17	                       aa(arrow_411405190le_alt, 
29.85/30.17	                         fun(arrow_411405190le_alt, 
29.85/30.17	                           product_prod(arrow_411405190le_alt, 
29.85/30.17	                             arrow_411405190le_alt))), 
29.85/30.17	                       product_Pair(arrow_411405190le_alt, 
29.85/30.17	                         arrow_411405190le_alt)), a)), b)), X509)),
29.85/30.17	    inference('cnf', [status(esa)], [zf_stmt_0])).
29.85/30.17	tff('5', plain,
29.85/30.17	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool)]:
29.85/30.17	      (~ $true
29.85/30.17	       | a = b
29.85/30.17	       | ~ app_encode_app(
29.85/30.17	             fun(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), bool), $o, 
29.85/30.17	             app_encode_app(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), 
29.85/30.17	               app_encode_fun(
29.85/30.17	                 fun(
29.85/30.17	                   fun(
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt), bool), bool), $o), 
29.85/30.17	               member(
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool)), 
29.85/30.17	               app_encode_app(arrow_411405190le_alt, 
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool), 
29.85/30.17	                 app_encode_app(
29.85/30.17	                   fun(
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt), bool), 
29.85/30.17	                   app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                     fun(
29.85/30.17	                       product_prod(arrow_411405190le_alt, 
29.85/30.17	                         arrow_411405190le_alt), bool)), 
29.85/30.17	                   arrow_276188178_mkbot, X0), a)), arrow_1985332922le_Lin)),
29.85/30.17	    inference('sup-', [status(thm)], ['3', '4'])).
29.85/30.17	tff('6', plain,
29.85/30.17	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool)]:
29.85/30.17	      (~ app_encode_app(
29.85/30.17	           fun(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), bool), $o, 
29.85/30.17	           app_encode_app(
29.85/30.17	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	               bool), 
29.85/30.17	             app_encode_fun(
29.85/30.17	               fun(
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool), bool), $o), 
29.85/30.17	             member(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool)), 
29.85/30.17	             app_encode_app(arrow_411405190le_alt, 
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), 
29.85/30.17	               app_encode_app(
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool), 
29.85/30.17	                 app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                   fun(
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt), bool)), 
29.85/30.17	                 arrow_276188178_mkbot, X0), a)), arrow_1985332922le_Lin)
29.85/30.17	       | a = b),
29.85/30.17	    inference('simplify', [status(thm)], ['5'])).
29.85/30.17	tff(zf_stmt_31, axiom, (a != b)).
29.85/30.17	tff('7', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_31])).
29.85/30.17	tff('8', plain,
29.85/30.17	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool)]:
29.85/30.17	      ~ app_encode_app(
29.85/30.17	          fun(
29.85/30.17	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	              bool), bool), $o, 
29.85/30.17	          app_encode_app(
29.85/30.17	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	              bool), 
29.85/30.17	            app_encode_fun(
29.85/30.17	              fun(
29.85/30.17	                fun(
29.85/30.17	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                  bool), bool), $o), 
29.85/30.17	            member(
29.85/30.17	              fun(
29.85/30.17	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                bool)), 
29.85/30.17	            app_encode_app(arrow_411405190le_alt, 
29.85/30.17	              fun(
29.85/30.17	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                bool), 
29.85/30.17	              app_encode_app(
29.85/30.17	                fun(
29.85/30.17	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                  bool), 
29.85/30.17	                app_encode_fun(arrow_411405190le_alt, 
29.85/30.17	                  fun(
29.85/30.17	                    product_prod(arrow_411405190le_alt, 
29.85/30.17	                      arrow_411405190le_alt), bool)), arrow_276188178_mkbot, 
29.85/30.17	                X0), a)), arrow_1985332922le_Lin),
29.85/30.17	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
29.85/30.17	tff('9', plain,
29.85/30.17	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool)]:
29.85/30.17	      (~ $true
29.85/30.17	       | ~ app_encode_app(
29.85/30.17	             fun(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), bool), $o, 
29.85/30.17	             app_encode_app(
29.85/30.17	               fun(
29.85/30.17	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                 bool), 
29.85/30.17	               app_encode_fun(
29.85/30.17	                 fun(
29.85/30.17	                   fun(
29.85/30.17	                     product_prod(arrow_411405190le_alt, 
29.85/30.17	                       arrow_411405190le_alt), bool), bool), $o), 
29.85/30.17	               member(
29.85/30.17	                 fun(
29.85/30.17	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                   bool)), X0), arrow_1985332922le_Lin)),
29.85/30.17	    inference('sup-', [status(thm)], ['1', '8'])).
29.85/30.17	tff('10', plain,
29.85/30.17	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	             bool)]:
29.85/30.17	      ~ app_encode_app(
29.85/30.17	          fun(
29.85/30.17	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	              bool), bool), $o, 
29.85/30.17	          app_encode_app(
29.85/30.17	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	              bool), 
29.85/30.17	            app_encode_fun(
29.85/30.17	              fun(
29.85/30.17	                fun(
29.85/30.17	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                  bool), bool), $o), 
29.85/30.17	            member(
29.85/30.17	              fun(
29.85/30.17	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
29.85/30.17	                bool)), X0), arrow_1985332922le_Lin),
29.85/30.17	    inference('simplify', [status(thm)], ['9'])).
29.85/30.17	tff('11', plain, ~ $true, inference('sup-', [status(thm)], ['0', '10'])).
29.85/30.17	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
29.85/30.17	
29.85/30.17	% SZS output end Refutation
29.85/30.17	EOF
