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   : n146.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 14:06:09 CST 2018
31.08/31.24	% done 1586 iterations in 31.028s
31.08/31.24	% SZS status Theorem for 'stdin'
31.08/31.24	% SZS output start Refutation
31.08/31.24	tff(zf_stmt_49, axiom,
31.08/31.24	  (![Ba:arrow_411405190le_alt,Aa:arrow_411405190le_alt]:
31.08/31.24	     ((Aa != Ba) =>
31.08/31.24	      (?[X1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
31.08/31.24	                bool)]:
31.08/31.24	         (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                              arrow_411405190le_alt),
31.08/31.24	                                 bool),
31.08/31.24	                             bool),
31.08/31.24	                         $o,
31.08/31.24	                         app_encode_app(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                         arrow_411405190le_alt),
31.08/31.24	                                            bool),
31.08/31.24	                                        app_encode_fun(fun(fun(product_prod(
31.08/31.24	                                                               arrow_411405190le_alt,
31.08/31.24	                                                               arrow_411405190le_alt),
31.08/31.24	                                                               bool),
31.08/31.24	                                                           bool),
31.08/31.24	                                                       $o),
31.08/31.24	                                        member(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                                arrow_411405190le_alt),
31.08/31.24	                                                   bool)),
31.08/31.24	                                        X1),
31.08/31.24	                         arrow_1985332922le_Lin) & 
31.08/31.24	          app_encode_app(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                          arrow_411405190le_alt),
31.08/31.24	                             bool),
31.08/31.24	                         $o,
31.08/31.24	                         app_encode_app(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                     arrow_411405190le_alt),
31.08/31.24	                                        app_encode_fun(fun(product_prod(
31.08/31.24	                                                           arrow_411405190le_alt,
31.08/31.24	                                                           arrow_411405190le_alt),
31.08/31.24	                                                           bool),
31.08/31.24	                                                       $o),
31.08/31.24	                                        member(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                            arrow_411405190le_alt)),
31.08/31.24	                                        app_encode_app(arrow_411405190le_alt,
31.08/31.24	                                                       product_prod(arrow_411405190le_alt,
31.08/31.24	                                                                    arrow_411405190le_alt),
31.08/31.24	                                                       app_encode_app(
31.08/31.24	                                                       fun(arrow_411405190le_alt,
31.08/31.24	                                                           product_prod(
31.08/31.24	                                                           arrow_411405190le_alt,
31.08/31.24	                                                           arrow_411405190le_alt)),
31.08/31.24	                                                       app_encode_fun(
31.08/31.24	                                                       arrow_411405190le_alt,
31.08/31.24	                                                       product_prod(arrow_411405190le_alt,
31.08/31.24	                                                                    arrow_411405190le_alt)),
31.08/31.24	                                                       aa(arrow_411405190le_alt,
31.08/31.24	                                                          product_prod(
31.08/31.24	                                                          arrow_411405190le_alt,
31.08/31.24	                                                          arrow_411405190le_alt)),
31.08/31.24	                                                       app_encode_app(
31.08/31.24	                                                       arrow_411405190le_alt,
31.08/31.24	                                                       fun(arrow_411405190le_alt,
31.08/31.24	                                                           product_prod(
31.08/31.24	                                                           arrow_411405190le_alt,
31.08/31.24	                                                           arrow_411405190le_alt)),
31.08/31.24	                                                       app_encode_app(
31.08/31.24	                                                       fun(arrow_411405190le_alt,
31.08/31.24	                                                           fun(arrow_411405190le_alt,
31.08/31.24	                                                               product_prod(
31.08/31.24	                                                               arrow_411405190le_alt,
31.08/31.24	                                                               arrow_411405190le_alt))),
31.08/31.24	                                                       app_encode_fun(
31.08/31.24	                                                       arrow_411405190le_alt,
31.08/31.24	                                                       fun(arrow_411405190le_alt,
31.08/31.24	                                                           product_prod(
31.08/31.24	                                                           arrow_411405190le_alt,
31.08/31.24	                                                           arrow_411405190le_alt))),
31.08/31.24	                                                       aa(arrow_411405190le_alt,
31.08/31.24	                                                          fun(arrow_411405190le_alt,
31.08/31.24	                                                              product_prod(
31.08/31.24	                                                              arrow_411405190le_alt,
31.08/31.24	                                                              arrow_411405190le_alt))),
31.08/31.24	                                                       product_Pair(arrow_411405190le_alt,
31.08/31.24	                                                                    arrow_411405190le_alt)),
31.08/31.24	                                                       Aa)),Ba)),
31.08/31.24	                         X1)))))).
31.08/31.24	tff('0', plain,
31.08/31.24	    ![X10 : arrow_411405190le_alt, X11 : arrow_411405190le_alt]:
31.08/31.24	      (app_encode_app(
31.08/31.24	         fun(
31.08/31.24	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	             bool), bool), $o, 
31.08/31.24	         app_encode_app(
31.08/31.24	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	             bool), 
31.08/31.24	           app_encode_fun(
31.08/31.24	             fun(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool), bool), $o), 
31.08/31.24	           member(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool)), sk_X1(X10, X11)), arrow_1985332922le_Lin)
31.08/31.24	       | X10 = X11),
31.08/31.24	    inference('cnf', [status(esa)], [zf_stmt_49])).
31.08/31.24	tff('1', plain,
31.08/31.24	    ![X10 : arrow_411405190le_alt, X11 : arrow_411405190le_alt]:
31.08/31.24	      (app_encode_app(
31.08/31.24	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	           bool), $o, 
31.08/31.24	         app_encode_app(
31.08/31.24	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	           app_encode_fun(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), $o), 
31.08/31.24	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	           app_encode_app(arrow_411405190le_alt, 
31.08/31.24	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	             app_encode_app(
31.08/31.24	               fun(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               aa(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                 fun(arrow_411405190le_alt, 
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	                 app_encode_app(
31.08/31.24	                   fun(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt))), 
31.08/31.24	                   app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt))), 
31.08/31.24	                   aa(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt))), 
31.08/31.24	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	                 X10)), X11)), sk_X1(X10, X11))
31.08/31.24	       | X10 = X11),
31.08/31.24	    inference('cnf', [status(esa)], [zf_stmt_49])).
31.08/31.24	tff(zf_stmt_151, axiom,
31.08/31.24	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
31.08/31.24	     (app_encode_app(A,C,
31.08/31.24	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
31.08/31.24	                                    app_encode_app(B,fun(A,C),
31.08/31.24	                                                   app_encode_app(fun(
31.08/31.24	                                                                  A,fun(B,C)),
31.08/31.24	                                                                  app_encode_fun(
31.08/31.24	                                                                  B,fun(A,C)),
31.08/31.24	                                                                  combc(
31.08/31.24	                                                                  A,B,C),P),
31.08/31.24	                                                   Q)),
31.08/31.24	                     R) =
31.08/31.24	      app_encode_app(B,C,
31.08/31.24	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
31.08/31.24	                                    app_encode_app(A,fun(B,C),
31.08/31.24	                                                   app_encode_app(fun(
31.08/31.24	                                                                  A,fun(B,C)),
31.08/31.24	                                                                  app_encode_fun(
31.08/31.24	                                                                  A,fun(B,C)),
31.08/31.24	                                                                  aa(
31.08/31.24	                                                                  A,fun(B,C)),
31.08/31.24	                                                                  P),
31.08/31.24	                                                   R)),
31.08/31.24	                     Q)))).
31.08/31.24	tff('2', plain,
31.08/31.24	    ![X534 : $tType, X535 : $tType, X536 : $tType, 
31.08/31.24	      X537 : fun(X536, fun(X534, X535)), X538 : X536, X539 : X534]:
31.08/31.24	      app_encode_app(X536, X535, 
31.08/31.24	        app_encode_app(fun(X536, X535), app_encode_fun(X536, X535), 
31.08/31.24	          aa(X536, X535), 
31.08/31.24	          app_encode_app(X534, fun(X536, X535), 
31.08/31.24	            app_encode_app(fun(X536, fun(X534, X535)), 
31.08/31.24	              app_encode_fun(X534, fun(X536, X535)), 
31.08/31.24	              combc(X536, X534, X535), X537), X539)), X538)
31.08/31.24	       = app_encode_app(X534, X535, 
31.08/31.24	           app_encode_app(fun(X534, X535), app_encode_fun(X534, X535), 
31.08/31.24	             aa(X534, X535), 
31.08/31.24	             app_encode_app(X536, fun(X534, X535), 
31.08/31.24	               app_encode_app(fun(X536, fun(X534, X535)), 
31.08/31.24	                 app_encode_fun(X536, fun(X534, X535)), 
31.08/31.24	                 aa(X536, fun(X534, X535)), X537), X538)), X539),
31.08/31.24	    inference('cnf', [status(esa)], [zf_stmt_151])).
31.08/31.24	tff('3', plain,
31.08/31.24	    ![X10 : arrow_411405190le_alt, X11 : arrow_411405190le_alt]:
31.08/31.24	      (app_encode_app(
31.08/31.24	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	           bool), $o, 
31.08/31.24	         app_encode_app(
31.08/31.24	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	           app_encode_fun(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), $o), 
31.08/31.24	           member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	           app_encode_app(arrow_411405190le_alt, 
31.08/31.24	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	             app_encode_app(
31.08/31.24	               fun(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               aa(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                 fun(arrow_411405190le_alt, 
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	                 app_encode_app(
31.08/31.24	                   fun(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt))), 
31.08/31.24	                   app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt))), 
31.08/31.24	                   combc(arrow_411405190le_alt, arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   product_Pair(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	                 X11)), X10)), sk_X1(X10, X11))
31.08/31.24	       | X10 = X11),
31.08/31.24	    inference('demod', [status(thm)], ['1', '2'])).
31.08/31.24	tff(zf_stmt_163, axiom,
31.08/31.24	  (![Lab:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
31.08/31.24	     (app_encode_app(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                      arrow_411405190le_alt),
31.08/31.24	                         bool),
31.08/31.24	                     $o,
31.08/31.24	                     app_encode_app(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                 arrow_411405190le_alt),
31.08/31.24	                                    app_encode_fun(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                                    arrow_411405190le_alt),
31.08/31.24	                                                       bool),
31.08/31.24	                                                   $o),
31.08/31.24	                                    member(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                        arrow_411405190le_alt)),
31.08/31.24	                                    app_encode_app(arrow_411405190le_alt,
31.08/31.24	                                                   product_prod(arrow_411405190le_alt,
31.08/31.24	                                                                arrow_411405190le_alt),
31.08/31.24	                                                   app_encode_app(fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt)),
31.08/31.24	                                                                  app_encode_fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt)),
31.08/31.24	                                                                  aa(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt)),
31.08/31.24	                                                                  app_encode_app(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt)),
31.08/31.24	                                                                  app_encode_app(
31.08/31.24	                                                                  fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt))),
31.08/31.24	                                                                  app_encode_fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt))),
31.08/31.24	                                                                  aa(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  fun(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  product_prod(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt))),
31.08/31.24	                                                                  product_Pair(
31.08/31.24	                                                                  arrow_411405190le_alt,
31.08/31.24	                                                                  arrow_411405190le_alt)),
31.08/31.24	                                                                  a)),
31.08/31.24	                                                   b)),
31.08/31.24	                     Lab) =>
31.08/31.24	      (app_encode_app(fun(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                           arrow_411405190le_alt),
31.08/31.24	                              bool),
31.08/31.24	                          bool),
31.08/31.24	                      $o,
31.08/31.24	                      app_encode_app(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                      arrow_411405190le_alt),
31.08/31.24	                                         bool),
31.08/31.24	                                     app_encode_fun(fun(fun(product_prod(
31.08/31.24	                                                            arrow_411405190le_alt,
31.08/31.24	                                                            arrow_411405190le_alt),
31.08/31.24	                                                            bool),
31.08/31.24	                                                        bool),
31.08/31.24	                                                    $o),
31.08/31.24	                                     member(fun(product_prod(arrow_411405190le_alt,
31.08/31.24	                                                             arrow_411405190le_alt),
31.08/31.24	                                                bool)),
31.08/31.24	                                     Lab),
31.08/31.24	                      arrow_1985332922le_Lin) =>
31.08/31.24	       thesis)))).
31.08/31.24	tff('4', plain,
31.08/31.24	    ![X570 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool)]:
31.08/31.24	      (thesis
31.08/31.24	       | ~ app_encode_app(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), $o, 
31.08/31.24	             app_encode_app(
31.08/31.24	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               app_encode_fun(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool), $o), 
31.08/31.24	               member(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 app_encode_app(
31.08/31.24	                   fun(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   aa(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt)), 
31.08/31.24	                     app_encode_app(
31.08/31.24	                       fun(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       aa(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       product_Pair(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt)), a)), b)), X570)
31.08/31.24	       | ~ app_encode_app(
31.08/31.24	             fun(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool), bool), $o, 
31.08/31.24	             app_encode_app(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool), 
31.08/31.24	               app_encode_fun(
31.08/31.24	                 fun(
31.08/31.24	                   fun(
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt), bool), bool), $o), 
31.08/31.24	               member(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool)), X570), arrow_1985332922le_Lin)),
31.08/31.24	    inference('cnf', [status(esa)], [zf_stmt_163])).
31.08/31.24	tff('5', plain,
31.08/31.24	    ![X570 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool)]:
31.08/31.24	      (thesis
31.08/31.24	       | ~ app_encode_app(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), $o, 
31.08/31.24	             app_encode_app(
31.08/31.24	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               app_encode_fun(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool), $o), 
31.08/31.24	               member(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 app_encode_app(
31.08/31.24	                   fun(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   aa(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt)), 
31.08/31.24	                     app_encode_app(
31.08/31.24	                       fun(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       combc(arrow_411405190le_alt, arrow_411405190le_alt, 
31.08/31.24	                         product_prod(arrow_411405190le_alt, 
31.08/31.24	                           arrow_411405190le_alt)), 
31.08/31.24	                       product_Pair(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt)), b)), a)), X570)
31.08/31.24	       | ~ app_encode_app(
31.08/31.24	             fun(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool), bool), $o, 
31.08/31.24	             app_encode_app(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool), 
31.08/31.24	               app_encode_fun(
31.08/31.24	                 fun(
31.08/31.24	                   fun(
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt), bool), bool), $o), 
31.08/31.24	               member(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool)), X570), arrow_1985332922le_Lin)),
31.08/31.24	    inference('demod', [status(thm)], ['4', '2'])).
31.08/31.24	tff(zf_stmt_164, conjecture, (thesis)).
31.08/31.24	tff(zf_stmt_0, negated_conjecture, (~thesis)).
31.08/31.24	tff('6', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
31.08/31.24	tff('7', plain,
31.08/31.24	    ![X570 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool)]:
31.08/31.24	      (~ app_encode_app(
31.08/31.24	           fun(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), bool), $o, 
31.08/31.24	           app_encode_app(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), 
31.08/31.24	             app_encode_fun(
31.08/31.24	               fun(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool), bool), $o), 
31.08/31.24	             member(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool)), X570), arrow_1985332922le_Lin)
31.08/31.24	       | ~ app_encode_app(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), $o, 
31.08/31.24	             app_encode_app(
31.08/31.24	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               app_encode_fun(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool), $o), 
31.08/31.24	               member(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
31.08/31.24	               app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 app_encode_app(
31.08/31.24	                   fun(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   aa(arrow_411405190le_alt, 
31.08/31.24	                     product_prod(arrow_411405190le_alt, 
31.08/31.24	                       arrow_411405190le_alt)), 
31.08/31.24	                   app_encode_app(arrow_411405190le_alt, 
31.08/31.24	                     fun(arrow_411405190le_alt, 
31.08/31.24	                       product_prod(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt)), 
31.08/31.24	                     app_encode_app(
31.08/31.24	                       fun(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       app_encode_fun(arrow_411405190le_alt, 
31.08/31.24	                         fun(arrow_411405190le_alt, 
31.08/31.24	                           product_prod(arrow_411405190le_alt, 
31.08/31.24	                             arrow_411405190le_alt))), 
31.08/31.24	                       combc(arrow_411405190le_alt, arrow_411405190le_alt, 
31.08/31.24	                         product_prod(arrow_411405190le_alt, 
31.08/31.24	                           arrow_411405190le_alt)), 
31.08/31.24	                       product_Pair(arrow_411405190le_alt, 
31.08/31.24	                         arrow_411405190le_alt)), b)), a)), X570)),
31.08/31.24	    inference('clc', [status(thm)], ['5', '6'])).
31.08/31.24	tff('8', plain,
31.08/31.24	    (~ $true
31.08/31.24	     | a = b
31.08/31.24	     | ~ app_encode_app(
31.08/31.24	           fun(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), bool), $o, 
31.08/31.24	           app_encode_app(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool), 
31.08/31.24	             app_encode_fun(
31.08/31.24	               fun(
31.08/31.24	                 fun(
31.08/31.24	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                   bool), bool), $o), 
31.08/31.24	             member(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool)), sk_X1(a, b)), arrow_1985332922le_Lin)),
31.08/31.24	    inference('sup-', [status(thm)], ['3', '7'])).
31.08/31.24	tff('9', plain,
31.08/31.24	    (~ app_encode_app(
31.08/31.24	         fun(
31.08/31.24	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	             bool), bool), $o, 
31.08/31.24	         app_encode_app(
31.08/31.24	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	             bool), 
31.08/31.24	           app_encode_fun(
31.08/31.24	             fun(
31.08/31.24	               fun(
31.08/31.24	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                 bool), bool), $o), 
31.08/31.24	           member(
31.08/31.24	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	               bool)), sk_X1(a, b)), arrow_1985332922le_Lin)
31.08/31.24	     | a = b),
31.08/31.24	    inference('simplify', [status(thm)], ['8'])).
31.08/31.24	tff(zf_stmt_46, axiom, (a != b)).
31.08/31.24	tff('10', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_46])).
31.08/31.24	tff('11', plain,
31.08/31.24	    ~ app_encode_app(
31.08/31.24	        fun(
31.08/31.24	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	            bool), bool), $o, 
31.08/31.24	        app_encode_app(
31.08/31.24	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	            bool), 
31.08/31.24	          app_encode_fun(
31.08/31.24	            fun(
31.08/31.24	              fun(
31.08/31.24	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	                bool), bool), $o), 
31.08/31.24	          member(
31.08/31.24	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
31.08/31.24	              bool)), sk_X1(a, b)), arrow_1985332922le_Lin),
31.08/31.24	    inference('simplify_reflect-', [status(thm)], ['9', '10'])).
31.08/31.24	tff('12', plain, (~ $true | a = b),
31.08/31.24	    inference('sup-', [status(thm)], ['0', '11'])).
31.08/31.24	tff('13', plain, a = b, inference('simplify', [status(thm)], ['12'])).
31.08/31.24	tff('14', plain, $false,
31.08/31.24	    inference('simplify_reflect-', [status(thm)], ['13', '10'])).
31.08/31.24	
31.08/31.24	% SZS output end Refutation
31.08/31.25	EOF
