0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n149.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 06:37:23 CST 2018
97.82/98.00	% done 8881 iterations in 97.801s
97.82/98.00	% SZS status Theorem for 'stdin'
97.82/98.00	% SZS output start Refutation
97.82/98.00	tff(zf_stmt_48, axiom,
97.82/98.00	  (![Ss:list(dB),S2:dB,Ra:dB]:
97.82/98.00	     (app_encode_app(bool,$o,pp,
97.82/98.00	                     app_encode_app(dB,bool,
97.82/98.00	                                    app_encode_app(fun(dB,bool),
97.82/98.00	                                                   app_encode_fun(dB,bool),
97.82/98.00	                                                   aa(dB,bool),it),
97.82/98.00	                                    app_encode_app(list(dB),dB,
97.82/98.00	                                                   app_encode_app(dB,
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  list(dB),dB),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(dB,dB)),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  list(dB),dB)),
97.82/98.00	                                                                  foldl(
97.82/98.00	                                                                  dB,dB),app),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  nat,dB,
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  fun(nat,dB),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  nat,dB),
97.82/98.00	                                                                  aa(nat,dB),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  aa(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                                  aa(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                                  subst),Ra)),
97.82/98.00	                                                                  S2)),
97.82/98.00	                                                                  zero_zero(
97.82/98.00	                                                                  nat))),
97.82/98.00	                                                   Ss))) =>
97.82/98.00	      (app_encode_app(bool,$o,pp,
97.82/98.00	                      app_encode_app(dB,bool,
97.82/98.00	                                     app_encode_app(fun(dB,bool),
97.82/98.00	                                                    app_encode_fun(dB,bool),
97.82/98.00	                                                    aa(dB,bool),it),
97.82/98.00	                                     S2)) =>
97.82/98.00	       app_encode_app(bool,$o,pp,
97.82/98.00	                      app_encode_app(dB,bool,
97.82/98.00	                                     app_encode_app(fun(dB,bool),
97.82/98.00	                                                    app_encode_fun(dB,bool),
97.82/98.00	                                                    aa(dB,bool),it),
97.82/98.00	                                     app_encode_app(list(dB),dB,
97.82/98.00	                                                    app_encode_app(dB,
97.82/98.00	                                                                   app_encode_fun(
97.82/98.00	                                                                   list(dB),
97.82/98.00	                                                                   dB),
97.82/98.00	                                                                   app_encode_app(
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                                   app_encode_fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   app_encode_fun(
97.82/98.00	                                                                   list(dB),
97.82/98.00	                                                                   dB)),
97.82/98.00	                                                                   foldl(
97.82/98.00	                                                                   dB,dB),app),
97.82/98.00	                                                                   app_encode_app(
97.82/98.00	                                                                   dB,dB,
97.82/98.00	                                                                   app_encode_app(
97.82/98.00	                                                                   fun(dB,dB),
97.82/98.00	                                                                   app_encode_fun(
97.82/98.00	                                                                   dB,dB),
97.82/98.00	                                                                   aa(dB,dB),
97.82/98.00	                                                                   app_encode_app(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(dB,dB),
97.82/98.00	                                                                   app_encode_app(
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                                   app_encode_fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                                   aa(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                                   app),
97.82/98.00	                                                                   app_encode_app(
97.82/98.00	                                                                   dB,dB,abs,
97.82/98.00	                                                                   Ra))),S2)),
97.82/98.00	                                                    Ss))))))).
97.82/98.00	tff('0', plain,
97.82/98.00	    ![X0 : dB, X1 : dB, X2 : list(dB)]:
97.82/98.00	      (~ app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), X0))
97.82/98.00	       | ~ app_encode_app(bool, $o, pp, 
97.82/98.00	             app_encode_app(dB, bool, 
97.82/98.00	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	                 aa(dB, bool), it), 
97.82/98.00	               app_encode_app(list(dB), dB, 
97.82/98.00	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                   app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                     foldl(dB, dB), app), 
97.82/98.00	                   app_encode_app(nat, dB, 
97.82/98.00	                     app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
97.82/98.00	                       aa(nat, dB), 
97.82/98.00	                       app_encode_app(dB, fun(nat, dB), 
97.82/98.00	                         app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                           app_encode_fun(dB, fun(nat, dB)), 
97.82/98.00	                           aa(dB, fun(nat, dB)), 
97.82/98.00	                           app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                             app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                               app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                               aa(dB, fun(dB, fun(nat, dB))), subst), X1)), 
97.82/98.00	                         X0)), zero_zero(nat))), X2)))
97.82/98.00	       | app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), 
97.82/98.00	             app_encode_app(list(dB), dB, 
97.82/98.00	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                 app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                   foldl(dB, dB), app), 
97.82/98.00	                 app_encode_app(dB, dB, 
97.82/98.00	                   app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                     aa(dB, dB), 
97.82/98.00	                     app_encode_app(dB, fun(dB, dB), 
97.82/98.00	                       app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                         app_encode_fun(dB, fun(dB, dB)), 
97.82/98.00	                         aa(dB, fun(dB, dB)), app), 
97.82/98.00	                       app_encode_app(dB, dB, abs, X1))), X0)), X2)))),
97.82/98.00	    inference('cnf', [status(esa)], [zf_stmt_48])).
97.82/98.00	tff(zf_stmt_156, axiom,
97.82/98.00	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
97.82/98.00	     (app_encode_app(A,C,
97.82/98.00	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
97.82/98.00	                                    app_encode_app(B,fun(A,C),
97.82/98.00	                                                   app_encode_app(fun(
97.82/98.00	                                                                  A,fun(B,C)),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  B,fun(A,C)),
97.82/98.00	                                                                  combc(
97.82/98.00	                                                                  A,B,C),P),
97.82/98.00	                                                   Q)),
97.82/98.00	                     R) =
97.82/98.00	      app_encode_app(B,C,
97.82/98.00	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
97.82/98.00	                                    app_encode_app(A,fun(B,C),
97.82/98.00	                                                   app_encode_app(fun(
97.82/98.00	                                                                  A,fun(B,C)),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  A,fun(B,C)),
97.82/98.00	                                                                  aa(
97.82/98.00	                                                                  A,fun(B,C)),
97.82/98.00	                                                                  P),
97.82/98.00	                                                   R)),
97.82/98.00	                     Q)))).
97.82/98.00	tff('1', plain,
97.82/98.00	    ![X282 : $tType, X283 : $tType, X284 : $tType, 
97.82/98.00	      X285 : fun(X284, fun(X282, X283)), X286 : X284, X287 : X282]:
97.82/98.00	      app_encode_app(X284, X283, 
97.82/98.00	        app_encode_app(fun(X284, X283), app_encode_fun(X284, X283), 
97.82/98.00	          aa(X284, X283), 
97.82/98.00	          app_encode_app(X282, fun(X284, X283), 
97.82/98.00	            app_encode_app(fun(X284, fun(X282, X283)), 
97.82/98.00	              app_encode_fun(X282, fun(X284, X283)), 
97.82/98.00	              combc(X284, X282, X283), X285), X287)), X286)
97.82/98.00	       = app_encode_app(X282, X283, 
97.82/98.00	           app_encode_app(fun(X282, X283), app_encode_fun(X282, X283), 
97.82/98.00	             aa(X282, X283), 
97.82/98.00	             app_encode_app(X284, fun(X282, X283), 
97.82/98.00	               app_encode_app(fun(X284, fun(X282, X283)), 
97.82/98.00	                 app_encode_fun(X284, fun(X282, X283)), 
97.82/98.00	                 aa(X284, fun(X282, X283)), X285), X286)), X287),
97.82/98.00	    inference('cnf', [status(esa)], [zf_stmt_156])).
97.82/98.00	tff('2', plain,
97.82/98.00	    ![X0 : dB, X1 : dB, X2 : list(dB)]:
97.82/98.00	      (~ app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), X0))
97.82/98.00	       | ~ app_encode_app(bool, $o, pp, 
97.82/98.00	             app_encode_app(dB, bool, 
97.82/98.00	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	                 aa(dB, bool), it), 
97.82/98.00	               app_encode_app(list(dB), dB, 
97.82/98.00	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                   app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                     foldl(dB, dB), app), 
97.82/98.00	                   app_encode_app(dB, dB, 
97.82/98.00	                     app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                       aa(dB, dB), 
97.82/98.00	                       app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                         app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                           app_encode_fun(nat, fun(dB, dB)), 
97.82/98.00	                           combc(dB, nat, dB), 
97.82/98.00	                           app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                             app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                               app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                               combc(dB, dB, fun(nat, dB)), subst), X0)), 
97.82/98.00	                         zero_zero(nat))), X1)), X2)))
97.82/98.00	       | app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), 
97.82/98.00	             app_encode_app(list(dB), dB, 
97.82/98.00	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                 app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                   foldl(dB, dB), app), 
97.82/98.00	                 app_encode_app(dB, dB, 
97.82/98.00	                   app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                     aa(dB, dB), 
97.82/98.00	                     app_encode_app(dB, fun(dB, dB), 
97.82/98.00	                       app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                         app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), 
97.82/98.00	                         app), X0)), app_encode_app(dB, dB, abs, X1))), X2)))),
97.82/98.00	    inference('demod', [status(thm)], ['0', '1', '1', '1'])).
97.82/98.00	tff(zf_stmt_141, axiom,
97.82/98.00	  (![S:dB,T:dB]:
97.82/98.00	     (app_encode_app(nat,dB,
97.82/98.00	                     app_encode_app(dB,app_encode_fun(nat,dB),
97.82/98.00	                                    app_encode_app(dB,
97.82/98.00	                                                   app_encode_fun(dB,
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  nat,dB)),
97.82/98.00	                                                   substn,T),
97.82/98.00	                                    S),
97.82/98.00	                     zero_zero(nat)) =
97.82/98.00	      app_encode_app(nat,dB,
97.82/98.00	                     app_encode_app(fun(nat,dB),app_encode_fun(nat,dB),
97.82/98.00	                                    aa(nat,dB),
97.82/98.00	                                    app_encode_app(dB,fun(nat,dB),
97.82/98.00	                                                   app_encode_app(fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  aa(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                                  app_encode_app(
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                                  app_encode_fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                                  aa(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                                  subst),T)),
97.82/98.00	                                                   S)),
97.82/98.00	                     zero_zero(nat))))).
97.82/98.00	tff('3', plain,
97.82/98.00	    ![X262 : dB, X263 : dB]:
97.82/98.00	      app_encode_app(nat, dB, 
97.82/98.00	        app_encode_app(dB, app_encode_fun(nat, dB), 
97.82/98.00	          app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
97.82/98.00	            substn, X262), X263), zero_zero(nat))
97.82/98.00	       = app_encode_app(nat, dB, 
97.82/98.00	           app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
97.82/98.00	             aa(nat, dB), 
97.82/98.00	             app_encode_app(dB, fun(nat, dB), 
97.82/98.00	               app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                 app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
97.82/98.00	                 app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                   app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                     app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                     aa(dB, fun(dB, fun(nat, dB))), subst), X262)), X263)), 
97.82/98.00	           zero_zero(nat)),
97.82/98.00	    inference('cnf', [status(esa)], [zf_stmt_141])).
97.82/98.00	tff('4', plain,
97.82/98.00	    ![X262 : dB, X263 : dB]:
97.82/98.00	      app_encode_app(nat, dB, 
97.82/98.00	        app_encode_app(dB, app_encode_fun(nat, dB), 
97.82/98.00	          app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
97.82/98.00	            substn, X262), X263), zero_zero(nat))
97.82/98.00	       = app_encode_app(dB, dB, 
97.82/98.00	           app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
97.82/98.00	             app_encode_app(nat, fun(dB, dB), 
97.82/98.00	               app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                 app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.00	                 app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                   app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                     app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                     combc(dB, dB, fun(nat, dB)), subst), X263)), 
97.82/98.00	               zero_zero(nat))), X262),
97.82/98.00	    inference('demod', [status(thm)], ['3', '1', '1'])).
97.82/98.00	tff('5', plain,
97.82/98.00	    ![X0 : dB, X1 : dB, X2 : list(dB)]:
97.82/98.00	      (~ app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), X0))
97.82/98.00	       | ~ app_encode_app(bool, $o, pp, 
97.82/98.00	             app_encode_app(dB, bool, 
97.82/98.00	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	                 aa(dB, bool), it), 
97.82/98.00	               app_encode_app(list(dB), dB, 
97.82/98.00	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                   app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                     foldl(dB, dB), app), 
97.82/98.00	                   app_encode_app(nat, dB, 
97.82/98.00	                     app_encode_app(dB, app_encode_fun(nat, dB), 
97.82/98.00	                       app_encode_app(dB, 
97.82/98.00	                         app_encode_fun(dB, app_encode_fun(nat, dB)), 
97.82/98.00	                         substn, X1), X0), zero_zero(nat))), X2)))
97.82/98.00	       | app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), 
97.82/98.00	             app_encode_app(list(dB), dB, 
97.82/98.00	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                 app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                   foldl(dB, dB), app), 
97.82/98.00	                 app_encode_app(dB, dB, 
97.82/98.00	                   app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                     aa(dB, dB), 
97.82/98.00	                     app_encode_app(dB, fun(dB, dB), 
97.82/98.00	                       app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                         app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), 
97.82/98.00	                         app), X0)), app_encode_app(dB, dB, abs, X1))), X2)))),
97.82/98.00	    inference('demod', [status(thm)], ['2', '4'])).
97.82/98.00	tff(zf_stmt_166, conjecture,
97.82/98.00	  (app_encode_app(bool,$o,pp,
97.82/98.00	                  app_encode_app(dB,bool,
97.82/98.00	                                 app_encode_app(fun(dB,bool),
97.82/98.00	                                                app_encode_fun(dB,bool),
97.82/98.00	                                                aa(dB,bool),it),
97.82/98.00	                                 app_encode_app(list(dB),dB,
97.82/98.00	                                                app_encode_app(dB,
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               list(dB),dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               list(dB),dB)),
97.82/98.00	                                                               foldl(dB,dB),
97.82/98.00	                                                               app),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,dB,
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,dB),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,dB),
97.82/98.00	                                                               aa(dB,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,fun(dB,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,fun(dB,dB)),
97.82/98.00	                                                               aa(dB,
97.82/98.00	                                                                  fun(dB,dB)),
97.82/98.00	                                                               app),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,dB,abs,
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,dB,
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(nat,dB),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               nat,dB),
97.82/98.00	                                                               aa(nat,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(nat,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,fun(nat,dB)),
97.82/98.00	                                                               aa(dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                               aa(dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                               subst),ra)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,dB,var,
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,nat,suc,ia)))),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,nat,suc,ja))))),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,dB,
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(nat,dB),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               nat,dB),
97.82/98.00	                                                               aa(nat,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(nat,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,fun(nat,dB)),
97.82/98.00	                                                               aa(dB,
97.82/98.00	                                                                  fun(nat,dB)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                               aa(dB,
97.82/98.00	                                                                  fun(
97.82/98.00	                                                                  dB,
97.82/98.00	                                                                  fun(nat,dB))),
97.82/98.00	                                                               subst),s)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,dB,var,ia))),
97.82/98.00	                                                               ja))),
97.82/98.00	                                                app_encode_app(list(dB),
97.82/98.00	                                                               list(dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,dB),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               list(dB),
97.82/98.00	                                                               list(dB)),
97.82/98.00	                                                               map(dB,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,
97.82/98.00	                                                               fun(dB,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               nat,fun(dB,dB)),
97.82/98.00	                                                               combc(
97.82/98.00	                                                               dB,nat,dB),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                               app_encode_fun(
97.82/98.00	                                                               dB,
97.82/98.00	                                                               fun(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                               combc(
97.82/98.00	                                                               dB,dB,
97.82/98.00	                                                               fun(nat,dB)),
97.82/98.00	                                                               subst),
97.82/98.00	                                                               app_encode_app(
97.82/98.00	                                                               nat,dB,var,ia))),
97.82/98.00	                                                               ja)),ss)))))).
97.82/98.00	tff(zf_stmt_0, negated_conjecture,
97.82/98.00	  (~
97.82/98.00	    app_encode_app(bool,$o,pp,
97.82/98.00	                   app_encode_app(dB,bool,
97.82/98.00	                                  app_encode_app(fun(dB,bool),
97.82/98.00	                                                 app_encode_fun(dB,bool),
97.82/98.00	                                                 aa(dB,bool),it),
97.82/98.00	                                  app_encode_app(list(dB),dB,
97.82/98.00	                                                 app_encode_app(dB,
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                list(dB),dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,dB)),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                list(dB),dB)),
97.82/98.00	                                                                foldl(dB,dB),
97.82/98.00	                                                                app),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,dB,
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,dB),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,dB),
97.82/98.00	                                                                aa(dB,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,dB)),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,fun(dB,dB)),
97.82/98.00	                                                                aa(dB,
97.82/98.00	                                                                   fun(dB,dB)),
97.82/98.00	                                                                app),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,dB,abs,
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,dB,
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(nat,dB),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                nat,dB),
97.82/98.00	                                                                aa(nat,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(nat,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(nat,dB)),
97.82/98.00	                                                                aa(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                aa(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                                subst),ra)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,dB,var,
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,nat,suc,
97.82/98.00	                                                                ia)))),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,nat,suc,
97.82/98.00	                                                                ja))))),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,dB,
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(nat,dB),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                nat,dB),
97.82/98.00	                                                                aa(nat,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(nat,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(nat,dB)),
97.82/98.00	                                                                aa(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                aa(dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   dB,
97.82/98.00	                                                                   fun(
97.82/98.00	                                                                   nat,dB))),
97.82/98.00	                                                                subst),s)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,dB,var,ia))),
97.82/98.00	                                                                ja))),
97.82/98.00	                                                 app_encode_app(list(dB),
97.82/98.00	                                                                list(dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,dB),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                list(dB),
97.82/98.00	                                                                list(dB)),
97.82/98.00	                                                                map(dB,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,
97.82/98.00	                                                                fun(dB,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                nat,
97.82/98.00	                                                                fun(dB,dB)),
97.82/98.00	                                                                combc(
97.82/98.00	                                                                dB,nat,dB),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                app_encode_fun(
97.82/98.00	                                                                dB,
97.82/98.00	                                                                fun(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                combc(
97.82/98.00	                                                                dB,dB,
97.82/98.00	                                                                fun(nat,dB)),
97.82/98.00	                                                                subst),
97.82/98.00	                                                                app_encode_app(
97.82/98.00	                                                                nat,dB,var,ia))),
97.82/98.00	                                                                ja)),ss)))))).
97.82/98.00	tff('6', plain,
97.82/98.00	    ~ app_encode_app(bool, $o, pp, 
97.82/98.00	        app_encode_app(dB, bool, 
97.82/98.00	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	            aa(dB, bool), it), 
97.82/98.00	          app_encode_app(list(dB), dB, 
97.82/98.00	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	              app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                foldl(dB, dB), app), 
97.82/98.00	              app_encode_app(dB, dB, 
97.82/98.00	                app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                  aa(dB, dB), 
97.82/98.00	                  app_encode_app(dB, fun(dB, dB), 
97.82/98.00	                    app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                      app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), 
97.82/98.00	                      app), 
97.82/98.00	                    app_encode_app(dB, dB, abs, 
97.82/98.00	                      app_encode_app(nat, dB, 
97.82/98.00	                        app_encode_app(fun(nat, dB), 
97.82/98.00	                          app_encode_fun(nat, dB), aa(nat, dB), 
97.82/98.00	                          app_encode_app(dB, fun(nat, dB), 
97.82/98.00	                            app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                              app_encode_fun(dB, fun(nat, dB)), 
97.82/98.00	                              aa(dB, fun(nat, dB)), 
97.82/98.00	                              app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                                app_encode_app(
97.82/98.00	                                  fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                  app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                  aa(dB, fun(dB, fun(nat, dB))), subst), ra)), 
97.82/98.00	                            app_encode_app(nat, dB, var, 
97.82/98.00	                              app_encode_app(nat, nat, suc, ia)))), 
97.82/98.00	                        app_encode_app(nat, nat, suc, ja))))), 
97.82/98.00	                app_encode_app(nat, dB, 
97.82/98.00	                  app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
97.82/98.00	                    aa(nat, dB), 
97.82/98.00	                    app_encode_app(dB, fun(nat, dB), 
97.82/98.00	                      app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                        app_encode_fun(dB, fun(nat, dB)), 
97.82/98.00	                        aa(dB, fun(nat, dB)), 
97.82/98.00	                        app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                          app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                            app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                            aa(dB, fun(dB, fun(nat, dB))), subst), s)), 
97.82/98.00	                      app_encode_app(nat, dB, var, ia))), ja))), 
97.82/98.00	            app_encode_app(list(dB), list(dB), 
97.82/98.00	              app_encode_app(fun(dB, dB), 
97.82/98.00	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
97.82/98.00	                app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                  app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.00	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                        combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                      app_encode_app(nat, dB, var, ia))), ja)), ss)))),
97.82/98.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
97.82/98.00	tff('7', plain,
97.82/98.00	    ~ app_encode_app(bool, $o, pp, 
97.82/98.00	        app_encode_app(dB, bool, 
97.82/98.00	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	            aa(dB, bool), it), 
97.82/98.00	          app_encode_app(list(dB), dB, 
97.82/98.00	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	              app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                foldl(dB, dB), app), 
97.82/98.00	              app_encode_app(dB, dB, 
97.82/98.00	                app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                  aa(dB, dB), 
97.82/98.00	                  app_encode_app(dB, fun(dB, dB), 
97.82/98.00	                    app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                      app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), 
97.82/98.00	                      app), 
97.82/98.00	                    app_encode_app(dB, dB, 
97.82/98.00	                      app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                        aa(dB, dB), 
97.82/98.00	                        app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                          app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                            app_encode_fun(nat, fun(dB, dB)), 
97.82/98.00	                            combc(dB, nat, dB), 
97.82/98.00	                            app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                              app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                              app_encode_app(nat, dB, var, ia))), ja)), s))), 
97.82/98.00	                app_encode_app(dB, dB, abs, 
97.82/98.00	                  app_encode_app(dB, dB, 
97.82/98.00	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                      aa(dB, dB), 
97.82/98.00	                      app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                        app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                          app_encode_fun(nat, fun(dB, dB)), 
97.82/98.00	                          combc(dB, nat, dB), 
97.82/98.00	                          app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                            app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                              app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                              combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                            app_encode_app(nat, dB, var, 
97.82/98.00	                              app_encode_app(nat, nat, suc, ia)))), 
97.82/98.00	                        app_encode_app(nat, nat, suc, ja))), ra)))), 
97.82/98.00	            app_encode_app(list(dB), list(dB), 
97.82/98.00	              app_encode_app(fun(dB, dB), 
97.82/98.00	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
97.82/98.00	                app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                  app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.00	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                        combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                      app_encode_app(nat, dB, var, ia))), ja)), ss)))),
97.82/98.00	    inference('demod', [status(thm)], ['6', '1', '1', '1', '1', '1'])).
97.82/98.00	tff('8', plain,
97.82/98.00	    (~ $true
97.82/98.00	     | ~ app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), 
97.82/98.00	             app_encode_app(list(dB), dB, 
97.82/98.00	               app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	                 app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                   app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                   foldl(dB, dB), app), 
97.82/98.00	                 app_encode_app(nat, dB, 
97.82/98.00	                   app_encode_app(dB, app_encode_fun(nat, dB), 
97.82/98.00	                     app_encode_app(dB, 
97.82/98.00	                       app_encode_fun(dB, app_encode_fun(nat, dB)), substn, 
97.82/98.00	                       app_encode_app(dB, dB, 
97.82/98.00	                         app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                           aa(dB, dB), 
97.82/98.00	                           app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                             app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                               app_encode_fun(nat, fun(dB, dB)), 
97.82/98.00	                               combc(dB, nat, dB), 
97.82/98.00	                               app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                                 app_encode_app(
97.82/98.00	                                   fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                   app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                   combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                                 app_encode_app(nat, dB, var, 
97.82/98.00	                                   app_encode_app(nat, nat, suc, ia)))), 
97.82/98.00	                             app_encode_app(nat, nat, suc, ja))), ra)), 
97.82/98.00	                     app_encode_app(dB, dB, 
97.82/98.00	                       app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                         aa(dB, dB), 
97.82/98.00	                         app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                           app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                             app_encode_fun(nat, fun(dB, dB)), 
97.82/98.00	                             combc(dB, nat, dB), 
97.82/98.00	                             app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                               app_encode_app(
97.82/98.00	                                 fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                 app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                 combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                               app_encode_app(nat, dB, var, ia))), ja)), s)), 
97.82/98.00	                   zero_zero(nat))), 
97.82/98.00	               app_encode_app(list(dB), list(dB), 
97.82/98.00	                 app_encode_app(fun(dB, dB), 
97.82/98.00	                   app_encode_fun(list(dB), list(dB)), map(dB, dB), 
97.82/98.00	                   app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                     app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.00	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                           combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                         app_encode_app(nat, dB, var, ia))), ja)), ss))))
97.82/98.00	     | ~ app_encode_app(bool, $o, pp, 
97.82/98.00	           app_encode_app(dB, bool, 
97.82/98.00	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	               aa(dB, bool), it), 
97.82/98.00	             app_encode_app(dB, dB, 
97.82/98.00	               app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.00	                 aa(dB, dB), 
97.82/98.00	                 app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                   app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                     app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.00	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                         combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                       app_encode_app(nat, dB, var, ia))), ja)), s)))),
97.82/98.00	    inference('sup-', [status(thm)], ['5', '7'])).
97.82/98.00	tff(zf_stmt_163, axiom,
97.82/98.00	  (![I:nat,J:nat]:
97.82/98.00	     app_encode_app(bool,$o,pp,
97.82/98.00	                    app_encode_app(dB,bool,
97.82/98.00	                                   app_encode_app(fun(dB,bool),
97.82/98.00	                                                  app_encode_fun(dB,bool),
97.82/98.00	                                                  aa(dB,bool),it),
97.82/98.00	                                   app_encode_app(list(dB),dB,
97.82/98.00	                                                  app_encode_app(dB,
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 list(dB),dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(dB,dB)),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 list(dB),dB)),
97.82/98.00	                                                                 foldl(dB,dB),
97.82/98.00	                                                                 app),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,dB,
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(nat,dB),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 nat,dB),
97.82/98.00	                                                                 aa(nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 aa(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 aa(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                 subst),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,dB,
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(nat,dB),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 nat,dB),
97.82/98.00	                                                                 aa(nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 aa(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 aa(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                 subst),ra)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,dB,var,
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,nat,suc,
97.82/98.00	                                                                 I)))),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,nat,suc,
97.82/98.00	                                                                 J)))),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,dB,
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(nat,dB),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 nat,dB),
97.82/98.00	                                                                 aa(nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 aa(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 aa(dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    dB,
97.82/98.00	                                                                    fun(
97.82/98.00	                                                                    nat,dB))),
97.82/98.00	                                                                 subst),s)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,dB,var,I))),
97.82/98.00	                                                                 J))),
97.82/98.00	                                                                 zero_zero(
97.82/98.00	                                                                 nat))),
97.82/98.00	                                                  app_encode_app(list(dB),
97.82/98.00	                                                                 list(dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(dB,dB),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 list(dB),
97.82/98.00	                                                                 list(dB)),
97.82/98.00	                                                                 map(dB,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,
97.82/98.00	                                                                 fun(dB,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 nat,
97.82/98.00	                                                                 fun(dB,dB)),
97.82/98.00	                                                                 combc(
97.82/98.00	                                                                 dB,nat,dB),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 app_encode_fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(
97.82/98.00	                                                                 dB,
97.82/98.00	                                                                 fun(nat,dB))),
97.82/98.00	                                                                 combc(
97.82/98.00	                                                                 dB,dB,
97.82/98.00	                                                                 fun(nat,dB)),
97.82/98.00	                                                                 subst),
97.82/98.00	                                                                 app_encode_app(
97.82/98.00	                                                                 nat,dB,var,I))),
97.82/98.00	                                                                 J)),ss)))))).
97.82/98.00	tff('9', plain,
97.82/98.00	    ![X302 : nat, X303 : nat]:
97.82/98.00	      app_encode_app(bool, $o, pp, 
97.82/98.00	        app_encode_app(dB, bool, 
97.82/98.00	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.00	            aa(dB, bool), it), 
97.82/98.00	          app_encode_app(list(dB), dB, 
97.82/98.00	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.00	              app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.00	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.00	                foldl(dB, dB), app), 
97.82/98.00	              app_encode_app(nat, dB, 
97.82/98.00	                app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
97.82/98.00	                  aa(nat, dB), 
97.82/98.00	                  app_encode_app(dB, fun(nat, dB), 
97.82/98.00	                    app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                      app_encode_fun(dB, fun(nat, dB)), 
97.82/98.00	                      aa(dB, fun(nat, dB)), 
97.82/98.00	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                          aa(dB, fun(dB, fun(nat, dB))), subst), 
97.82/98.00	                        app_encode_app(nat, dB, 
97.82/98.00	                          app_encode_app(fun(nat, dB), 
97.82/98.00	                            app_encode_fun(nat, dB), aa(nat, dB), 
97.82/98.00	                            app_encode_app(dB, fun(nat, dB), 
97.82/98.00	                              app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                                app_encode_fun(dB, fun(nat, dB)), 
97.82/98.00	                                aa(dB, fun(nat, dB)), 
97.82/98.00	                                app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                                  app_encode_app(
97.82/98.00	                                    fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                    aa(dB, fun(dB, fun(nat, dB))), subst), 
97.82/98.00	                                  ra)), 
97.82/98.00	                              app_encode_app(nat, dB, var, 
97.82/98.00	                                app_encode_app(nat, nat, suc, X302)))), 
97.82/98.00	                          app_encode_app(nat, nat, suc, X303)))), 
97.82/98.00	                    app_encode_app(nat, dB, 
97.82/98.00	                      app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
97.82/98.00	                        aa(nat, dB), 
97.82/98.00	                        app_encode_app(dB, fun(nat, dB), 
97.82/98.00	                          app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                            app_encode_fun(dB, fun(nat, dB)), 
97.82/98.00	                            aa(dB, fun(nat, dB)), 
97.82/98.00	                            app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                              app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                                aa(dB, fun(dB, fun(nat, dB))), subst), s)), 
97.82/98.00	                          app_encode_app(nat, dB, var, X302))), X303))), 
97.82/98.00	                zero_zero(nat))), 
97.82/98.00	            app_encode_app(list(dB), list(dB), 
97.82/98.00	              app_encode_app(fun(dB, dB), 
97.82/98.00	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
97.82/98.00	                app_encode_app(nat, fun(dB, dB), 
97.82/98.00	                  app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.00	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.00	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.00	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.00	                        combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.00	                      app_encode_app(nat, dB, var, X302))), X303)), ss)))),
97.82/98.00	    inference('cnf', [status(esa)], [zf_stmt_163])).
97.82/98.00	tff('10', plain,
97.82/98.00	    ![X302 : nat, X303 : nat]:
97.82/98.00	      app_encode_app(bool, $o, pp, 
97.82/98.01	        app_encode_app(dB, bool, 
97.82/98.01	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.01	            aa(dB, bool), it), 
97.82/98.01	          app_encode_app(list(dB), dB, 
97.82/98.01	            app_encode_app(dB, app_encode_fun(list(dB), dB), 
97.82/98.01	              app_encode_app(fun(dB, fun(dB, dB)), 
97.82/98.01	                app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
97.82/98.01	                foldl(dB, dB), app), 
97.82/98.01	              app_encode_app(nat, dB, 
97.82/98.01	                app_encode_app(dB, app_encode_fun(nat, dB), 
97.82/98.01	                  app_encode_app(dB, 
97.82/98.01	                    app_encode_fun(dB, app_encode_fun(nat, dB)), substn, 
97.82/98.01	                    app_encode_app(dB, dB, 
97.82/98.01	                      app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.01	                        aa(dB, dB), 
97.82/98.01	                        app_encode_app(nat, fun(dB, dB), 
97.82/98.01	                          app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.01	                            app_encode_fun(nat, fun(dB, dB)), 
97.82/98.01	                            combc(dB, nat, dB), 
97.82/98.01	                            app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.01	                              app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                                app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                                combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.01	                              app_encode_app(nat, dB, var, 
97.82/98.01	                                app_encode_app(nat, nat, suc, X302)))), 
97.82/98.01	                          app_encode_app(nat, nat, suc, X303))), ra)), 
97.82/98.01	                  app_encode_app(dB, dB, 
97.82/98.01	                    app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
97.82/98.01	                      aa(dB, dB), 
97.82/98.01	                      app_encode_app(nat, fun(dB, dB), 
97.82/98.01	                        app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.01	                          app_encode_fun(nat, fun(dB, dB)), 
97.82/98.01	                          combc(dB, nat, dB), 
97.82/98.01	                          app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.01	                            app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                              app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                              combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.01	                            app_encode_app(nat, dB, var, X302))), X303)), s)), 
97.82/98.01	                zero_zero(nat))), 
97.82/98.01	            app_encode_app(list(dB), list(dB), 
97.82/98.01	              app_encode_app(fun(dB, dB), 
97.82/98.01	                app_encode_fun(list(dB), list(dB)), map(dB, dB), 
97.82/98.01	                app_encode_app(nat, fun(dB, dB), 
97.82/98.01	                  app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.01	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.01	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.01	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                        combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.01	                      app_encode_app(nat, dB, var, X302))), X303)), ss)))),
97.82/98.01	    inference('demod', [status(thm)],
97.82/98.01	              ['9', '1', '1', '1', '1', '1', '1', '4'])).
97.82/98.01	tff(zf_stmt_165, axiom,
97.82/98.01	  (![I:nat,J:nat]:
97.82/98.01	     app_encode_app(bool,$o,pp,
97.82/98.01	                    app_encode_app(dB,bool,
97.82/98.01	                                   app_encode_app(fun(dB,bool),
97.82/98.01	                                                  app_encode_fun(dB,bool),
97.82/98.01	                                                  aa(dB,bool),it),
97.82/98.01	                                   app_encode_app(nat,dB,
97.82/98.01	                                                  app_encode_app(fun(nat,dB),
97.82/98.01	                                                                 app_encode_fun(
97.82/98.01	                                                                 nat,dB),
97.82/98.01	                                                                 aa(nat,dB),
97.82/98.01	                                                                 app_encode_app(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(nat,dB),
97.82/98.01	                                                                 app_encode_app(
97.82/98.01	                                                                 fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(nat,dB)),
97.82/98.01	                                                                 app_encode_fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(nat,dB)),
97.82/98.01	                                                                 aa(dB,
97.82/98.01	                                                                    fun(
97.82/98.01	                                                                    nat,dB)),
97.82/98.01	                                                                 app_encode_app(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(nat,dB)),
97.82/98.01	                                                                 app_encode_app(
97.82/98.01	                                                                 fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(nat,dB))),
97.82/98.01	                                                                 app_encode_fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(
97.82/98.01	                                                                 dB,
97.82/98.01	                                                                 fun(nat,dB))),
97.82/98.01	                                                                 aa(dB,
97.82/98.01	                                                                    fun(
97.82/98.01	                                                                    dB,
97.82/98.01	                                                                    fun(
97.82/98.01	                                                                    nat,dB))),
97.82/98.01	                                                                 subst),s)),
97.82/98.01	                                                                 app_encode_app(
97.82/98.01	                                                                 nat,dB,var,I))),
97.82/98.01	                                                  J))))).
97.82/98.01	tff('11', plain,
97.82/98.01	    ![X304 : nat, X305 : nat]:
97.82/98.01	      app_encode_app(bool, $o, pp, 
97.82/98.01	        app_encode_app(dB, bool, 
97.82/98.01	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.01	            aa(dB, bool), it), 
97.82/98.01	          app_encode_app(nat, dB, 
97.82/98.01	            app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
97.82/98.01	              aa(nat, dB), 
97.82/98.01	              app_encode_app(dB, fun(nat, dB), 
97.82/98.01	                app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.01	                  app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
97.82/98.01	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.01	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                      aa(dB, fun(dB, fun(nat, dB))), subst), s)), 
97.82/98.01	                app_encode_app(nat, dB, var, X304))), X305))),
97.82/98.01	    inference('cnf', [status(esa)], [zf_stmt_165])).
97.82/98.01	tff('12', plain,
97.82/98.01	    ![X304 : nat, X305 : nat]:
97.82/98.01	      app_encode_app(bool, $o, pp, 
97.82/98.01	        app_encode_app(dB, bool, 
97.82/98.01	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
97.82/98.01	            aa(dB, bool), it), 
97.82/98.01	          app_encode_app(dB, dB, 
97.82/98.01	            app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
97.82/98.01	              app_encode_app(nat, fun(dB, dB), 
97.82/98.01	                app_encode_app(fun(dB, fun(nat, dB)), 
97.82/98.01	                  app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
97.82/98.01	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
97.82/98.01	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
97.82/98.01	                      combc(dB, dB, fun(nat, dB)), subst), 
97.82/98.01	                    app_encode_app(nat, dB, var, X304))), X305)), s))),
97.82/98.01	    inference('demod', [status(thm)], ['11', '1', '1'])).
97.82/98.01	tff('13', plain, (~ $true | ~ $true | ~ $true),
97.82/98.01	    inference('demod', [status(thm)], ['8', '10', '12'])).
97.82/98.01	tff('14', plain, $false, inference('simplify', [status(thm)], ['13'])).
97.82/98.01	
97.82/98.01	% SZS output end Refutation
97.82/98.01	EOF
