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    : rpo6
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n082.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:19:39 CST 2018
26.64/26.85	% done 854 iterations in 26.644s
26.64/26.85	% SZS status Theorem for 'stdin'
26.64/26.85	% SZS output start Refutation
26.64/26.86	tff(zf_stmt_15, axiom,
26.64/26.86	  (woz2W <=>
26.64/26.86	   (![A,R]:
26.64/26.86	      (app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),R) =>
26.64/26.86	       (![S]:
26.64/26.86	          (app_encode_app($i,$o,
26.64/26.86	                          app_encode_app($i,app_encode_fun($i,$o),breln1,A),S) =>
26.64/26.86	           (app_encode_app($i,$i,
26.64/26.86	                           app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                          breln1invset,A),
26.64/26.86	                           app_encode_app($i,$i,
26.64/26.86	                                          app_encode_app($i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,$i),
26.64/26.86	                                                         app_encode_app(
26.64/26.86	                                                         $i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,$i)),
26.64/26.86	                                                         breln1compset,A),R),
26.64/26.86	                                          S)) =
26.64/26.86	            app_encode_app($i,$i,
26.64/26.86	                           app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                          app_encode_app($i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,$i)),
26.64/26.86	                                                         breln1compset,A),
26.64/26.86	                                          app_encode_app($i,$i,
26.64/26.86	                                                         app_encode_app(
26.64/26.86	                                                         $i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,$i),breln1invset,
26.64/26.86	                                                         A),S)),
26.64/26.86	                           app_encode_app($i,$i,
26.64/26.86	                                          app_encode_app($i,
26.64/26.86	                                                         app_encode_fun(
26.64/26.86	                                                         $i,$i),breln1invset,
26.64/26.86	                                                         A),
26.64/26.86	                                          R))))))))).
26.64/26.86	tff('0', plain,
26.64/26.86	    ![X10, X11, X12]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X10), X11)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X10), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X10), X11), X12))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                app_encode_app($i, 
26.64/26.86	                  app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                  X10), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X10), X12)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X10), 
26.64/26.86	                X11))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X10), X12)
26.64/26.86	       | ~ woz2W),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_15])).
26.64/26.86	tff(zf_stmt_18, conjecture,
26.64/26.86	  (breln1invprop =>
26.64/26.86	   (breln1compprop =>
26.64/26.86	    (breln1unionCommutes =>
26.64/26.86	     (woz2Ex =>
26.64/26.86	      (woz2W =>
26.64/26.86	       (woz2A =>
26.64/26.86	        (![A,R]:
26.64/26.86	           (app_encode_app($i,$o,
26.64/26.86	                           app_encode_app($i,app_encode_fun($i,$o),breln1,A),
26.64/26.86	                           R) =>
26.64/26.86	            (![S]:
26.64/26.86	               (app_encode_app($i,$o,
26.64/26.86	                               app_encode_app($i,app_encode_fun($i,$o),
26.64/26.86	                                              breln1,A),
26.64/26.86	                               S) =>
26.64/26.86	                (![T]:
26.64/26.86	                   (app_encode_app($i,$o,
26.64/26.86	                                   app_encode_app($i,app_encode_fun($i,$o),
26.64/26.86	                                                  breln1,A),
26.64/26.86	                                   T) =>
26.64/26.86	                    (app_encode_app($i,$i,
26.64/26.86	                                    app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                                   app_encode_app($i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i)),
26.64/26.86	                                                                  breln1compset,
26.64/26.86	                                                                  A),
26.64/26.86	                                                   app_encode_app($i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  binunion,R),
26.64/26.86	                                                                  S)),
26.64/26.86	                                    T) =
26.64/26.86	                     app_encode_app($i,$i,
26.64/26.86	                                    app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                                   binunion,
26.64/26.86	                                                   app_encode_app($i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  breln1invset,
26.64/26.86	                                                                  A),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i)),
26.64/26.86	                                                                  breln1compset,
26.64/26.86	                                                                  A),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  breln1invset,
26.64/26.86	                                                                  A),T)),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  breln1invset,
26.64/26.86	                                                                  A),S)))),
26.64/26.86	                                    app_encode_app($i,$i,
26.64/26.86	                                                   app_encode_app($i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  breln1invset,
26.64/26.86	                                                                  A),
26.64/26.86	                                                   app_encode_app($i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i)),
26.64/26.86	                                                                  breln1compset,
26.64/26.86	                                                                  A),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  breln1invset,
26.64/26.86	                                                                  A),T)),
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,$i,
26.64/26.86	                                                                  app_encode_app(
26.64/26.86	                                                                  $i,
26.64/26.86	                                                                  app_encode_fun(
26.64/26.86	                                                                  $i,$i),
26.64/26.86	                                                                  breln1invset,
26.64/26.86	                                                                  A),R)))))))))))))))))).
26.64/26.86	tff(zf_stmt_0, negated_conjecture,
26.64/26.86	  (~
26.64/26.86	    (breln1invprop =>
26.64/26.86	     (breln1compprop =>
26.64/26.86	      (breln1unionCommutes =>
26.64/26.86	       (woz2Ex =>
26.64/26.86	        (woz2W =>
26.64/26.86	         (woz2A =>
26.64/26.86	          (![A,R]:
26.64/26.86	             (app_encode_app($i,$o,
26.64/26.86	                             app_encode_app($i,app_encode_fun($i,$o),breln1,A),
26.64/26.86	                             R) =>
26.64/26.86	              (![S]:
26.64/26.86	                 (app_encode_app($i,$o,
26.64/26.86	                                 app_encode_app($i,app_encode_fun($i,$o),
26.64/26.86	                                                breln1,A),
26.64/26.86	                                 S) =>
26.64/26.86	                  (![T]:
26.64/26.86	                     (app_encode_app($i,$o,
26.64/26.86	                                     app_encode_app($i,app_encode_fun($i,$o),
26.64/26.86	                                                    breln1,A),
26.64/26.86	                                     T) =>
26.64/26.86	                      (app_encode_app($i,$i,
26.64/26.86	                                      app_encode_app($i,
26.64/26.86	                                                     app_encode_fun($i,$i),
26.64/26.86	                                                     app_encode_app($i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i)),
26.64/26.86	                                                                    breln1compset,
26.64/26.86	                                                                    A),
26.64/26.86	                                                     app_encode_app($i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    binunion,
26.64/26.86	                                                                    R),S)),
26.64/26.86	                                      T) =
26.64/26.86	                       app_encode_app($i,$i,
26.64/26.86	                                      app_encode_app($i,
26.64/26.86	                                                     app_encode_fun($i,$i),
26.64/26.86	                                                     binunion,
26.64/26.86	                                                     app_encode_app($i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    breln1invset,
26.64/26.86	                                                                    A),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i)),
26.64/26.86	                                                                    breln1compset,
26.64/26.86	                                                                    A),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    breln1invset,
26.64/26.86	                                                                    A),T)),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    breln1invset,
26.64/26.86	                                                                    A),S)))),
26.64/26.86	                                      app_encode_app($i,$i,
26.64/26.86	                                                     app_encode_app($i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    breln1invset,
26.64/26.86	                                                                    A),
26.64/26.86	                                                     app_encode_app($i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i)),
26.64/26.86	                                                                    breln1compset,
26.64/26.86	                                                                    A),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    breln1invset,
26.64/26.86	                                                                    A),T)),
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,$i,
26.64/26.86	                                                                    app_encode_app(
26.64/26.86	                                                                    $i,
26.64/26.86	                                                                    app_encode_fun(
26.64/26.86	                                                                    $i,$i),
26.64/26.86	                                                                    breln1invset,
26.64/26.86	                                                                    A),R))))))))))))))))))).
26.64/26.86	tff('1', plain, woz2W, inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('2', plain,
26.64/26.86	    ![X10, X11, X12]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X10), X11)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X10), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X10), X11), X12))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                app_encode_app($i, 
26.64/26.86	                  app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                  X10), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X10), X12)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X10), 
26.64/26.86	                X11))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X10), X12)
26.64/26.86	       | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['0', '1'])).
26.64/26.86	tff('3', plain,
26.64/26.86	    ![X10, X11, X12]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X10), X12)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X10), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X10), X11), X12))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                app_encode_app($i, 
26.64/26.86	                  app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                  X10), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X10), X12)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X10), 
26.64/26.86	                X11))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X10), X11)),
26.64/26.86	    inference('simplify', [status(thm)], ['2'])).
26.64/26.86	tff(zf_stmt_13, axiom,
26.64/26.86	  (woz2Ex <=>
26.64/26.86	   (![A,R]:
26.64/26.86	      (app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),R) =>
26.64/26.86	       (R =
26.64/26.86	        app_encode_app($i,$i,
26.64/26.86	                       app_encode_app($i,app_encode_fun($i,$i),breln1invset,A),
26.64/26.86	                       app_encode_app($i,$i,
26.64/26.86	                                      app_encode_app($i,
26.64/26.86	                                                     app_encode_fun($i,$i),
26.64/26.86	                                                     breln1invset,A),
26.64/26.86	                                      R))))))).
26.64/26.86	tff('4', plain,
26.64/26.86	    ![X8, X9]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X8), X9)
26.64/26.86	       | X9
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), breln1invset, X8), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X8), 
26.64/26.86	                X9))
26.64/26.86	       | ~ woz2Ex),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_13])).
26.64/26.86	tff('5', plain, woz2Ex, inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('6', plain,
26.64/26.86	    ![X8, X9]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X8), X9)
26.64/26.86	       | X9
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), breln1invset, X8), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X8), 
26.64/26.86	                X9))
26.64/26.86	       | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['4', '5'])).
26.64/26.86	tff('7', plain,
26.64/26.86	    ![X8, X9]:
26.64/26.86	      (X9
26.64/26.86	        = app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), breln1invset, X8), 
26.64/26.86	            app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), breln1invset, X8), 
26.64/26.86	              X9))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X8), X9)),
26.64/26.86	    inference('simplify', [status(thm)], ['6'])).
26.64/26.86	tff('8', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X2), X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	             X0)))
26.64/26.86	        = app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                breln1compset, X2), X0), 
26.64/26.86	            app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	              X1))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               X0))),
26.64/26.86	    inference('sup+', [status(thm)], ['7', '3'])).
26.64/26.86	tff(zf_stmt_6, axiom,
26.64/26.86	  (breln1invprop <=>
26.64/26.86	   (![A,R]:
26.64/26.86	      (app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),R) =>
26.64/26.86	       app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),
26.64/26.86	                      app_encode_app($i,$i,
26.64/26.86	                                     app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                                    breln1invset,A),
26.64/26.86	                                     R)))))).
26.64/26.86	tff('9', plain,
26.64/26.86	    ![X0, X1]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X0), X1)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X0), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X0), 
26.64/26.86	             X1))
26.64/26.86	       | ~ breln1invprop),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_6])).
26.64/26.86	tff('10', plain, breln1invprop, inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('11', plain,
26.64/26.86	    ![X0, X1]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X0), X1)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X0), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X0), 
26.64/26.86	             X1))
26.64/26.86	       | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['9', '10'])).
26.64/26.86	tff('12', plain,
26.64/26.86	    ![X0, X1]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X0), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X0), X1))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X0), X1)),
26.64/26.86	    inference('simplify', [status(thm)], ['11'])).
26.64/26.86	tff('13', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X2), X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               X0)))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                app_encode_app($i, 
26.64/26.86	                  app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                  X2), X0), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	                X1))),
26.64/26.86	    inference('clc', [status(thm)], ['8', '12'])).
26.64/26.86	tff('14', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X2)), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	             X0)))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, X1), X0), X2))),
26.64/26.86	    inference('sup+', [status(thm)], ['3', '12'])).
26.64/26.86	tff(zf_stmt_9, axiom,
26.64/26.86	  (breln1compprop <=>
26.64/26.86	   (![A,R]:
26.64/26.86	      (app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),R) =>
26.64/26.86	       (![S]:
26.64/26.86	          (app_encode_app($i,$o,
26.64/26.86	                          app_encode_app($i,app_encode_fun($i,$o),breln1,A),S) =>
26.64/26.86	           app_encode_app($i,$o,
26.64/26.86	                          app_encode_app($i,app_encode_fun($i,$o),breln1,A),
26.64/26.86	                          app_encode_app($i,$i,
26.64/26.86	                                         app_encode_app($i,
26.64/26.86	                                                        app_encode_fun($i,$i),
26.64/26.86	                                                        app_encode_app(
26.64/26.86	                                                        $i,
26.64/26.86	                                                        app_encode_fun(
26.64/26.86	                                                        $i,
26.64/26.86	                                                        app_encode_fun($i,$i)),
26.64/26.86	                                                        breln1compset,A),R),
26.64/26.86	                                         S)))))))).
26.64/26.86	tff('15', plain,
26.64/26.86	    ![X2, X3, X4]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X3)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X2), X3), X4))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X4)
26.64/26.86	       | ~ breln1compprop),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_9])).
26.64/26.86	tff('16', plain, breln1compprop, inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('17', plain,
26.64/26.86	    ![X2, X3, X4]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X3)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X2), X3), X4))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X4)
26.64/26.86	       | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['15', '16'])).
26.64/26.86	tff('18', plain,
26.64/26.86	    ![X2, X3, X4]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X4)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X2), X3), X4))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X3)),
26.64/26.86	    inference('simplify', [status(thm)], ['17'])).
26.64/26.86	tff('19', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X1), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                 X2)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X0)))),
26.64/26.86	    inference('clc', [status(thm)], ['14', '18'])).
26.64/26.86	tff('20', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X2), X0), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	             X1)))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               X0))),
26.64/26.86	    inference('sup+', [status(thm)], ['7', '19'])).
26.64/26.86	tff('21', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X2), X0), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               X1)))),
26.64/26.86	    inference('clc', [status(thm)], ['20', '12'])).
26.64/26.86	tff('22', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X1), X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X0))))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)),
26.64/26.86	    inference('sup+', [status(thm)], ['13', '21'])).
26.64/26.86	tff('23', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, X1), X2), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                 X0))))),
26.64/26.86	    inference('simplify', [status(thm)], ['22'])).
26.64/26.86	tff('24', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, X2), X1), X0))))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               X0))),
26.64/26.86	    inference('sup+', [status(thm)], ['3', '23'])).
26.64/26.86	tff('25', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	             X0))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, X2), X1), X0))))),
26.64/26.86	    inference('simplify', [status(thm)], ['24'])).
26.64/26.86	tff('26', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, X2), X1), X0))))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)),
26.64/26.86	    inference('clc', [status(thm)], ['25', '12'])).
26.64/26.86	tff('27', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X1), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                 X2)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X0))))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)),
26.64/26.86	    inference('sup+', [status(thm)], ['3', '26'])).
26.64/26.86	tff('28', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, X1), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     X1), X2)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                 X0))))),
26.64/26.86	    inference('simplify', [status(thm)], ['27'])).
26.64/26.86	tff('29', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X0)), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	             X2)))
26.64/26.86	        = app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                breln1compset, X1), X2), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X0))),
26.64/26.86	    inference('sup+', [status(thm)], ['7', '13'])).
26.64/26.86	tff('30', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X1), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                 X0)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	               X2)))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                app_encode_app($i, 
26.64/26.86	                  app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                  X1), X2), X0)),
26.64/26.86	    inference('clc', [status(thm)], ['29', '12'])).
26.64/26.86	tff(zf_stmt_17, axiom,
26.64/26.86	  (woz2A <=>
26.64/26.86	   (![A,R]:
26.64/26.86	      (app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),R) =>
26.64/26.86	       (![S]:
26.64/26.86	          (app_encode_app($i,$o,
26.64/26.86	                          app_encode_app($i,app_encode_fun($i,$o),breln1,A),S) =>
26.64/26.86	           (![T]:
26.64/26.86	              (app_encode_app($i,$o,
26.64/26.86	                              app_encode_app($i,app_encode_fun($i,$o),breln1,
26.64/26.86	                                             A),
26.64/26.86	                              T) =>
26.64/26.86	               (app_encode_app($i,$i,
26.64/26.86	                               app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                              app_encode_app($i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,$i)),
26.64/26.86	                                                             breln1compset,A),
26.64/26.86	                                              app_encode_app($i,$i,
26.64/26.86	                                                             app_encode_app(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,$i),binunion,
26.64/26.86	                                                             R),S)),
26.64/26.86	                               T) =
26.64/26.86	                app_encode_app($i,$i,
26.64/26.86	                               app_encode_app($i,app_encode_fun($i,$i),
26.64/26.86	                                              binunion,
26.64/26.86	                                              app_encode_app($i,$i,
26.64/26.86	                                                             app_encode_app(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,$i),
26.64/26.86	                                                             app_encode_app(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,$i)),
26.64/26.86	                                                             breln1compset,A),
26.64/26.86	                                                             R),T)),
26.64/26.86	                               app_encode_app($i,$i,
26.64/26.86	                                              app_encode_app($i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,$i),
26.64/26.86	                                                             app_encode_app(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,
26.64/26.86	                                                             app_encode_fun(
26.64/26.86	                                                             $i,$i)),
26.64/26.86	                                                             breln1compset,A),
26.64/26.86	                                                             S),
26.64/26.86	                                              T))))))))))).
26.64/26.86	tff('31', plain,
26.64/26.86	    ![X13, X14, X15, X16]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X14)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X15)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X13), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), binunion, X14), 
26.64/26.86	               X16)), X15)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                    app_encode_app($i, 
26.64/26.86	                      app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                      breln1compset, X13), X14), X15)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                  app_encode_app($i, 
26.64/26.86	                    app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                    breln1compset, X13), X16), X15))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X16)
26.64/26.86	       | ~ woz2A),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_17])).
26.64/26.86	tff('32', plain, woz2A, inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('33', plain,
26.64/26.86	    ![X13, X14, X15, X16]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X14)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X15)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X13), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), binunion, X14), 
26.64/26.86	               X16)), X15)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                    app_encode_app($i, 
26.64/26.86	                      app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                      breln1compset, X13), X14), X15)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                  app_encode_app($i, 
26.64/26.86	                    app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                    breln1compset, X13), X16), X15))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X16)
26.64/26.86	       | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['31', '32'])).
26.64/26.86	tff('34', plain,
26.64/26.86	    ![X13, X14, X15, X16]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X16)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X13), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), binunion, X14), 
26.64/26.86	               X16)), X15)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                    app_encode_app($i, 
26.64/26.86	                      app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                      breln1compset, X13), X14), X15)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                  app_encode_app($i, 
26.64/26.86	                    app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                    breln1compset, X13), X16), X15))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X15)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X13), X14)),
26.64/26.86	    inference('simplify', [status(thm)], ['33'])).
26.64/26.86	tff(zf_stmt_11, axiom,
26.64/26.86	  (breln1unionCommutes <=>
26.64/26.86	   (![A,R]:
26.64/26.86	      (app_encode_app($i,$o,
26.64/26.86	                      app_encode_app($i,app_encode_fun($i,$o),breln1,A),R) =>
26.64/26.86	       (![S]:
26.64/26.86	          (app_encode_app($i,$o,
26.64/26.86	                          app_encode_app($i,app_encode_fun($i,$o),breln1,A),S) =>
26.64/26.86	           (app_encode_app($i,$i,
26.64/26.86	                           app_encode_app($i,app_encode_fun($i,$i),binunion,R),
26.64/26.86	                           S) =
26.64/26.86	            app_encode_app($i,$i,
26.64/26.86	                           app_encode_app($i,app_encode_fun($i,$i),binunion,S),
26.64/26.86	                           R)))))))).
26.64/26.86	tff('35', plain,
26.64/26.86	    ![X5, X6, X7]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X5), X6)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, X6), X7)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, X7), X6)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X5), X7)
26.64/26.86	       | ~ breln1unionCommutes),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_11])).
26.64/26.86	tff('36', plain, breln1unionCommutes,
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('37', plain,
26.64/26.86	    ![X5, X6, X7]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X5), X6)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, X6), X7)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, X7), X6)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X5), X7)
26.64/26.86	       | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['35', '36'])).
26.64/26.86	tff('38', plain,
26.64/26.86	    ![X5, X6, X7]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X5), X7)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, X6), X7)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, X7), X6)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X5), X6)),
26.64/26.86	    inference('simplify', [status(thm)], ['37'])).
26.64/26.86	tff('39', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ $true
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, X2), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	             X0))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X1), X0)), X2)),
26.64/26.86	    inference('sup-', [status(thm)], ['12', '38'])).
26.64/26.86	tff('40', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), binunion, X2), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), X0))
26.64/26.86	        = app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                X0)), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)),
26.64/26.86	    inference('simplify', [status(thm)], ['39'])).
26.64/26.86	tff('41', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0)
26.64/26.86	        = app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X2), X0))), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, X2), 
26.64/26.86	               X0))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)),
26.64/26.86	    inference('sup+', [status(thm)], ['7', '40'])).
26.64/26.86	tff('42', plain,
26.64/26.86	    ![X0, X1, X2]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X1)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X2), X0)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, X1), X0)
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X2), 
26.64/26.86	                  app_encode_app($i, $i, 
26.64/26.86	                    app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                      X2), X0))), X1)),
26.64/26.86	    inference('clc', [status(thm)], ['41', '12'])).
26.64/26.86	tff('43', plain,
26.64/26.86	    ![X0, X1, X2, X3]:
26.64/26.86	      (app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), binunion, X3), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, X1), X0), X2))
26.64/26.86	        = app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, X1), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                    app_encode_app($i, 
26.64/26.86	                      app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                      breln1compset, X1), 
26.64/26.86	                    app_encode_app($i, $i, 
26.64/26.86	                      app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                        breln1invset, X1), X2)), 
26.64/26.86	                  app_encode_app($i, $i, 
26.64/26.86	                    app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                      X1), X0)))), X3)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, X1), X0), X2))
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X3)),
26.64/26.86	    inference('sup+', [status(thm)], ['3', '42'])).
26.64/26.86	tff('44', plain,
26.64/26.86	    ![X0, X1, X2, X3]:
26.64/26.86	      (~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X3)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X2)
26.64/26.86	       | ~ app_encode_app($i, $o, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $o), breln1, X1), X0)
26.64/26.86	       | app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, X3), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 X1), X0), X2))
26.64/26.86	          = app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    X1), 
26.64/26.86	                  app_encode_app($i, $i, 
26.64/26.86	                    app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                      app_encode_app($i, 
26.64/26.86	                        app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                        breln1compset, X1), 
26.64/26.86	                      app_encode_app($i, $i, 
26.64/26.86	                        app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                          breln1invset, X1), X2)), 
26.64/26.86	                    app_encode_app($i, $i, 
26.64/26.86	                      app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                        breln1invset, X1), X0)))), X3)),
26.64/26.86	    inference('clc', [status(thm)], ['43', '18'])).
26.64/26.86	tff('45', plain,
26.64/26.86	    app_encode_app($i, $i, 
26.64/26.86	      app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	        app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	          breln1compset, sk_A6), 
26.64/26.86	        app_encode_app($i, $i, 
26.64/26.86	          app_encode_app($i, app_encode_fun($i, $i), binunion, sk_R6), sk_S4)), 
26.64/26.86	      sk_T1)
26.64/26.86	     != app_encode_app($i, $i, 
26.64/26.86	          app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	            app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                  app_encode_app($i, 
26.64/26.86	                    app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                    breln1compset, sk_A6), 
26.64/26.86	                  app_encode_app($i, $i, 
26.64/26.86	                    app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                      sk_A6), sk_T1)), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    sk_A6), sk_S4)))), 
26.64/26.86	          app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	            app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                app_encode_app($i, 
26.64/26.86	                  app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                  sk_A6), 
26.64/26.86	                app_encode_app($i, $i, 
26.64/26.86	                  app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                    sk_A6), sk_T1)), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                  sk_A6), sk_R6)))),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('46', plain,
26.64/26.86	    (app_encode_app($i, $i, 
26.64/26.86	       app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	           breln1compset, sk_A6), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, sk_R6), 
26.64/26.86	           sk_S4)), sk_T1)
26.64/26.86	      != app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, sk_A6), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_R6)))), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_S4), sk_T1))
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_S4)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_T1)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_T1)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_R6))))),
26.64/26.86	    inference('sup-', [status(thm)], ['44', '45'])).
26.64/26.86	tff('47', plain,
26.64/26.86	    app_encode_app($i, $o, 
26.64/26.86	      app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_S4),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('48', plain,
26.64/26.86	    app_encode_app($i, $o, 
26.64/26.86	      app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_T1),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('49', plain,
26.64/26.86	    (app_encode_app($i, $i, 
26.64/26.86	       app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	           breln1compset, sk_A6), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, sk_R6), 
26.64/26.86	           sk_S4)), sk_T1)
26.64/26.86	      != app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, sk_A6), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_R6)))), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_S4), sk_T1))
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_T1)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_R6))))),
26.64/26.86	    inference('demod', [status(thm)], ['46', '47', '48'])).
26.64/26.86	tff('50', plain,
26.64/26.86	    (~ app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_T1)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), sk_R6))))
26.64/26.86	     | app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	             breln1compset, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), binunion, sk_R6), 
26.64/26.86	             sk_S4)), sk_T1)
26.64/26.86	        != app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                     app_encode_app($i, 
26.64/26.86	                       app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                       breln1compset, sk_A6), 
26.64/26.86	                     app_encode_app($i, $i, 
26.64/26.86	                       app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                         breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_R6)))), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), sk_S4), sk_T1))),
26.64/26.86	    inference('simplify', [status(thm)], ['49'])).
26.64/26.86	tff('51', plain,
26.64/26.86	    (app_encode_app($i, $i, 
26.64/26.86	       app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, sk_A6), sk_R6), sk_T1)), 
26.64/26.86	       app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	             breln1compset, sk_A6), sk_S4), sk_T1))
26.64/26.86	      != app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, sk_A6), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_R6)))), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_S4), sk_T1))
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_R6)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_T1)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_S4)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_T1)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_R6))))),
26.64/26.86	    inference('sup-', [status(thm)], ['34', '50'])).
26.64/26.86	tff('52', plain,
26.64/26.86	    app_encode_app($i, $o, 
26.64/26.86	      app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_R6),
26.64/26.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
26.64/26.86	tff('53', plain,
26.64/26.86	    (app_encode_app($i, $i, 
26.64/26.86	       app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, sk_A6), sk_R6), sk_T1)), 
26.64/26.86	       app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	             breln1compset, sk_A6), sk_S4), sk_T1))
26.64/26.86	      != app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, sk_A6), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_R6)))), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_S4), sk_T1))
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_T1)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_R6))))),
26.64/26.86	    inference('demod', [status(thm)], ['51', '52', '48', '47'])).
26.64/26.86	tff('54', plain,
26.64/26.86	    (~ app_encode_app($i, $o, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_T1)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), sk_R6))))
26.64/26.86	     | app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_R6), sk_T1)), 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	               breln1compset, sk_A6), sk_S4), sk_T1))
26.64/26.86	        != app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                     app_encode_app($i, 
26.64/26.86	                       app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                       breln1compset, sk_A6), 
26.64/26.86	                     app_encode_app($i, $i, 
26.64/26.86	                       app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                         breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_R6)))), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), sk_S4), sk_T1))),
26.64/26.86	    inference('simplify', [status(thm)], ['53'])).
26.64/26.86	tff('55', plain,
26.64/26.86	    (app_encode_app($i, $i, 
26.64/26.86	       app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_T1)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), sk_R6)))), 
26.64/26.86	       app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	             breln1compset, sk_A6), sk_S4), sk_T1))
26.64/26.86	      != app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, sk_A6), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_R6)))), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_S4), sk_T1))
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_T1)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_R6)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_T1)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_R6))))),
26.64/26.86	    inference('sup-', [status(thm)], ['30', '54'])).
26.64/26.86	tff('56', plain,
26.64/26.86	    (app_encode_app($i, $i, 
26.64/26.86	       app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	         app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_T1)), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), sk_R6)))), 
26.64/26.86	       app_encode_app($i, $i, 
26.64/26.86	         app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	             breln1compset, sk_A6), sk_S4), sk_T1))
26.64/26.86	      != app_encode_app($i, $i, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $i), binunion, 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                 sk_A6), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                   app_encode_app($i, 
26.64/26.86	                     app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                     breln1compset, sk_A6), 
26.64/26.86	                   app_encode_app($i, $i, 
26.64/26.86	                     app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                       breln1invset, sk_A6), sk_T1)), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_R6)))), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	               app_encode_app($i, 
26.64/26.86	                 app_encode_fun($i, app_encode_fun($i, $i)), breln1compset, 
26.64/26.86	                 sk_A6), sk_S4), sk_T1))
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ $true
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	           app_encode_app($i, $i, 
26.64/26.86	             app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	             app_encode_app($i, $i, 
26.64/26.86	               app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	                 app_encode_app($i, 
26.64/26.86	                   app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                   breln1compset, sk_A6), 
26.64/26.86	                 app_encode_app($i, $i, 
26.64/26.86	                   app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                     sk_A6), sk_T1)), 
26.64/26.86	               app_encode_app($i, $i, 
26.64/26.86	                 app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                   sk_A6), sk_R6))))),
26.64/26.86	    inference('demod', [status(thm)], ['55', '48', '52'])).
26.64/26.86	tff('57', plain,
26.64/26.86	    ~ app_encode_app($i, $o, 
26.64/26.86	        app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), 
26.64/26.86	        app_encode_app($i, $i, 
26.64/26.86	          app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	          app_encode_app($i, $i, 
26.64/26.86	            app_encode_app($i, app_encode_fun($i, $i), 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, app_encode_fun($i, $i)), 
26.64/26.86	                breln1compset, sk_A6), 
26.64/26.86	              app_encode_app($i, $i, 
26.64/26.86	                app_encode_app($i, app_encode_fun($i, $i), breln1invset, 
26.64/26.86	                  sk_A6), sk_T1)), 
26.64/26.86	            app_encode_app($i, $i, 
26.64/26.86	              app_encode_app($i, app_encode_fun($i, $i), breln1invset, sk_A6), 
26.64/26.86	              sk_R6)))),
26.64/26.86	    inference('simplify', [status(thm)], ['56'])).
26.64/26.86	tff('58', plain,
26.64/26.86	    (~ $true
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_R6)
26.64/26.86	     | ~ app_encode_app($i, $o, 
26.64/26.86	           app_encode_app($i, app_encode_fun($i, $o), breln1, sk_A6), sk_T1)),
26.64/26.86	    inference('sup-', [status(thm)], ['28', '57'])).
26.64/26.86	tff('59', plain, (~ $true | ~ $true | ~ $true),
26.64/26.86	    inference('demod', [status(thm)], ['58', '52', '48'])).
26.64/26.86	tff('60', plain, $false, inference('simplify', [status(thm)], ['59'])).
26.64/26.86	
26.64/26.86	% SZS output end Refutation
26.64/26.86	EOF
