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    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n097.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:23:23 CST 2018
29.86/30.05	% done 990 iterations in 29.851s
29.86/30.05	% SZS status Theorem for 'stdin'
29.86/30.05	% SZS output start Refutation
29.86/30.06	tff(zf_stmt_54, axiom,
29.86/30.06	  (app_encode_app(type,$o,
29.86/30.06	                  app_encode_app(dB,app_encode_fun(type,$o),
29.86/30.06	                                 app_encode_app(fun(nat,type),
29.86/30.06	                                                app_encode_fun(dB,
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               type,$o)),
29.86/30.06	                                                typing,
29.86/30.06	                                                app_encode_app(type,
29.86/30.06	                                                               fun(nat,type),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               nat,
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               type,
29.86/30.06	                                                               fun(nat,type)),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               fun(nat,type),
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               nat,
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               type,
29.86/30.06	                                                               fun(nat,type))),
29.86/30.06	                                                               shift(type),e),
29.86/30.06	                                                               i),t)),
29.86/30.06	                                 app_encode_app(list(dB),dB,
29.86/30.06	                                                app_encode_app(dB,
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               list(dB),dB),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               fun(dB,
29.86/30.06	                                                                   fun(dB,dB)),
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               dB,
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               list(dB),dB)),
29.86/30.06	                                                               foldl(dB,dB),
29.86/30.06	                                                               app),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               dB,dB,
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               fun(dB,dB),
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               dB,dB),
29.86/30.06	                                                               aa(dB,dB),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               dB,fun(dB,dB),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               fun(dB,
29.86/30.06	                                                                   fun(dB,dB)),
29.86/30.06	                                                               app_encode_fun(
29.86/30.06	                                                               dB,fun(dB,dB)),
29.86/30.06	                                                               aa(dB,
29.86/30.06	                                                                  fun(dB,dB)),
29.86/30.06	                                                               app),
29.86/30.06	                                                               app_encode_app(
29.86/30.06	                                                               dB,dB,abs,r))),
29.86/30.06	                                                               a)),
29.86/30.06	                                                as)),
29.86/30.06	                  t1))).
29.86/30.06	tff('0', plain,
29.86/30.06	    app_encode_app(type, $o, 
29.86/30.06	      app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	        app_encode_app(fun(nat, type), 
29.86/30.06	          app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	          app_encode_app(type, fun(nat, type), 
29.86/30.06	            app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	              app_encode_app(fun(nat, type), 
29.86/30.06	                app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
29.86/30.06	                shift(type), e), i), t)), 
29.86/30.06	        app_encode_app(list(dB), dB, 
29.86/30.06	          app_encode_app(dB, app_encode_fun(list(dB), dB), 
29.86/30.06	            app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	              app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
29.86/30.06	              foldl(dB, dB), app), 
29.86/30.06	            app_encode_app(dB, dB, 
29.86/30.06	              app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                aa(dB, dB), 
29.86/30.06	                app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                  app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                    app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), 
29.86/30.06	                    app), app_encode_app(dB, dB, abs, r))), a)), as)), t1),
29.86/30.06	    inference('cnf', [status(esa)], [zf_stmt_54])).
29.86/30.06	tff(zf_stmt_153, axiom,
29.86/30.06	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
29.86/30.06	     (app_encode_app(A,C,
29.86/30.06	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
29.86/30.06	                                    app_encode_app(B,fun(A,C),
29.86/30.06	                                                   app_encode_app(fun(
29.86/30.06	                                                                  A,fun(B,C)),
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  B,fun(A,C)),
29.86/30.06	                                                                  combc(
29.86/30.06	                                                                  A,B,C),P),
29.86/30.06	                                                   Q)),
29.86/30.06	                     R) =
29.86/30.06	      app_encode_app(B,C,
29.86/30.06	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
29.86/30.06	                                    app_encode_app(A,fun(B,C),
29.86/30.06	                                                   app_encode_app(fun(
29.86/30.06	                                                                  A,fun(B,C)),
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  A,fun(B,C)),
29.86/30.06	                                                                  aa(
29.86/30.06	                                                                  A,fun(B,C)),
29.86/30.06	                                                                  P),
29.86/30.06	                                                   R)),
29.86/30.06	                     Q)))).
29.86/30.06	tff('1', plain,
29.86/30.06	    ![X299 : $tType, X300 : $tType, X301 : $tType, 
29.86/30.06	      X302 : fun(X301, fun(X299, X300)), X303 : X301, X304 : X299]:
29.86/30.06	      app_encode_app(X301, X300, 
29.86/30.06	        app_encode_app(fun(X301, X300), app_encode_fun(X301, X300), 
29.86/30.06	          aa(X301, X300), 
29.86/30.06	          app_encode_app(X299, fun(X301, X300), 
29.86/30.06	            app_encode_app(fun(X301, fun(X299, X300)), 
29.86/30.06	              app_encode_fun(X299, fun(X301, X300)), 
29.86/30.06	              combc(X301, X299, X300), X302), X304)), X303)
29.86/30.06	       = app_encode_app(X299, X300, 
29.86/30.06	           app_encode_app(fun(X299, X300), app_encode_fun(X299, X300), 
29.86/30.06	             aa(X299, X300), 
29.86/30.06	             app_encode_app(X301, fun(X299, X300), 
29.86/30.06	               app_encode_app(fun(X301, fun(X299, X300)), 
29.86/30.06	                 app_encode_fun(X301, fun(X299, X300)), 
29.86/30.06	                 aa(X301, fun(X299, X300)), X302), X303)), X304),
29.86/30.06	    inference('cnf', [status(esa)], [zf_stmt_153])).
29.86/30.06	tff('2', plain,
29.86/30.06	    app_encode_app(type, $o, 
29.86/30.06	      app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	        app_encode_app(fun(nat, type), 
29.86/30.06	          app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	          app_encode_app(type, fun(nat, type), 
29.86/30.06	            app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	              app_encode_app(fun(nat, type), 
29.86/30.06	                app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
29.86/30.06	                shift(type), e), i), t)), 
29.86/30.06	        app_encode_app(list(dB), dB, 
29.86/30.06	          app_encode_app(dB, app_encode_fun(list(dB), dB), 
29.86/30.06	            app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	              app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
29.86/30.06	              foldl(dB, dB), app), 
29.86/30.06	            app_encode_app(dB, dB, 
29.86/30.06	              app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                aa(dB, dB), 
29.86/30.06	                app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                  app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                    app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), app), 
29.86/30.06	                  a)), app_encode_app(dB, dB, abs, r))), as)), t1),
29.86/30.06	    inference('demod', [status(thm)], ['0', '1'])).
29.86/30.06	tff(zf_stmt_125, axiom,
29.86/30.06	  (![Ta:type,Ts:list(dB),Ta1:dB,Eb:fun(nat,type)]:
29.86/30.06	     (app_encode_app(type,$o,
29.86/30.06	                     app_encode_app(dB,app_encode_fun(type,$o),
29.86/30.06	                                    app_encode_app(fun(nat,type),
29.86/30.06	                                                   app_encode_fun(dB,
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  type,$o)),
29.86/30.06	                                                   typing,Eb),
29.86/30.06	                                    app_encode_app(list(dB),dB,
29.86/30.06	                                                   app_encode_app(dB,
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  list(dB),dB),
29.86/30.06	                                                                  app_encode_app(
29.86/30.06	                                                                  fun(
29.86/30.06	                                                                  dB,
29.86/30.06	                                                                  fun(dB,dB)),
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  dB,
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  list(dB),dB)),
29.86/30.06	                                                                  foldl(
29.86/30.06	                                                                  dB,dB),app),
29.86/30.06	                                                                  Ta1),
29.86/30.06	                                                   Ts)),
29.86/30.06	                     Ta) =>
29.86/30.06	      (?[Ts1:list(type)]:
29.86/30.06	         (app_encode_app(type,$o,
29.86/30.06	                         app_encode_app(dB,app_encode_fun(type,$o),
29.86/30.06	                                        app_encode_app(fun(nat,type),
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       dB,
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       type,$o)),typing,Eb),
29.86/30.06	                                        Ta1),
29.86/30.06	                         app_encode_app(type,type,
29.86/30.06	                                        app_encode_app(list(type),
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       type,type),
29.86/30.06	                                                       app_encode_app(
29.86/30.06	                                                       fun(type,
29.86/30.06	                                                           fun(type,type)),
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       list(type),
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       type,type)),
29.86/30.06	                                                       foldr(type,type),fun1),
29.86/30.06	                                                       Ts1),
29.86/30.06	                                        Ta)) & 
29.86/30.06	          app_encode_app(list(type),$o,
29.86/30.06	                         app_encode_app(list(dB),
29.86/30.06	                                        app_encode_fun(list(type),$o),
29.86/30.06	                                        app_encode_app(fun(nat,type),
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       list(dB),
29.86/30.06	                                                       app_encode_fun(
29.86/30.06	                                                       list(type),$o)),
29.86/30.06	                                                       typings,Eb),
29.86/30.06	                                        Ts),
29.86/30.06	                         Ts1)))))).
29.86/30.06	tff('3', plain,
29.86/30.06	    ![X206 : fun(nat, type), X207 : dB, X208 : list(dB), X209 : type]:
29.86/30.06	      (app_encode_app(type, $o, 
29.86/30.06	         app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	           app_encode_app(fun(nat, type), 
29.86/30.06	             app_encode_fun(dB, app_encode_fun(type, $o)), typing, X206), 
29.86/30.06	           X207), 
29.86/30.06	         app_encode_app(type, type, 
29.86/30.06	           app_encode_app(list(type), app_encode_fun(type, type), 
29.86/30.06	             app_encode_app(fun(type, fun(type, type)), 
29.86/30.06	               app_encode_fun(list(type), app_encode_fun(type, type)), 
29.86/30.06	               foldr(type, type), fun1), sk_Ts1(X206, X207, X208, X209)), 
29.86/30.06	           X209))
29.86/30.06	       | ~ app_encode_app(type, $o, 
29.86/30.06	             app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	               app_encode_app(fun(nat, type), 
29.86/30.06	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, X206), 
29.86/30.06	               app_encode_app(list(dB), dB, 
29.86/30.06	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
29.86/30.06	                   app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
29.86/30.06	                     foldl(dB, dB), app), X207), X208)), X209)),
29.86/30.06	    inference('cnf', [status(esa)], [zf_stmt_125])).
29.86/30.06	tff(zf_stmt_159, axiom,
29.86/30.06	  (![U:type]:
29.86/30.06	     (app_encode_app(type,$o,
29.86/30.06	                     app_encode_app(dB,app_encode_fun(type,$o),
29.86/30.06	                                    app_encode_app(fun(nat,type),
29.86/30.06	                                                   app_encode_fun(dB,
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  type,$o)),
29.86/30.06	                                                   typing,
29.86/30.06	                                                   app_encode_app(type,
29.86/30.06	                                                                  fun(
29.86/30.06	                                                                  nat,type),
29.86/30.06	                                                                  app_encode_app(
29.86/30.06	                                                                  nat,
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  type,
29.86/30.06	                                                                  fun(
29.86/30.06	                                                                  nat,type)),
29.86/30.06	                                                                  app_encode_app(
29.86/30.06	                                                                  fun(
29.86/30.06	                                                                  nat,type),
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  nat,
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  type,
29.86/30.06	                                                                  fun(
29.86/30.06	                                                                  nat,type))),
29.86/30.06	                                                                  shift(type),
29.86/30.06	                                                                  e),i),t)),
29.86/30.06	                                    app_encode_app(dB,dB,
29.86/30.06	                                                   app_encode_app(fun(dB,dB),
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  dB,dB),
29.86/30.06	                                                                  aa(dB,dB),
29.86/30.06	                                                                  app_encode_app(
29.86/30.06	                                                                  dB,
29.86/30.06	                                                                  fun(dB,dB),
29.86/30.06	                                                                  app_encode_app(
29.86/30.06	                                                                  fun(
29.86/30.06	                                                                  dB,
29.86/30.06	                                                                  fun(dB,dB)),
29.86/30.06	                                                                  app_encode_fun(
29.86/30.06	                                                                  dB,
29.86/30.06	                                                                  fun(dB,dB)),
29.86/30.06	                                                                  aa(
29.86/30.06	                                                                  dB,
29.86/30.06	                                                                  fun(dB,dB)),
29.86/30.06	                                                                  app),
29.86/30.06	                                                                  app_encode_app(
29.86/30.06	                                                                  dB,dB,abs,r))),
29.86/30.06	                                                   a)),
29.86/30.06	                     U) =>
29.86/30.06	      thesis))).
29.86/30.06	tff('4', plain,
29.86/30.06	    ![X319 : type]:
29.86/30.06	      (thesis
29.86/30.06	       | ~ app_encode_app(type, $o, 
29.86/30.06	             app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	               app_encode_app(fun(nat, type), 
29.86/30.06	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	                 app_encode_app(type, fun(nat, type), 
29.86/30.06	                   app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	                     app_encode_app(fun(nat, type), 
29.86/30.06	                       app_encode_fun(nat, 
29.86/30.06	                         app_encode_fun(type, fun(nat, type))), shift(type), 
29.86/30.06	                       e), i), t)), 
29.86/30.06	               app_encode_app(dB, dB, 
29.86/30.06	                 app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                   aa(dB, dB), 
29.86/30.06	                   app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                     app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                       app_encode_fun(dB, fun(dB, dB)), aa(dB, fun(dB, dB)), 
29.86/30.06	                       app), app_encode_app(dB, dB, abs, r))), a)), X319)),
29.86/30.06	    inference('cnf', [status(esa)], [zf_stmt_159])).
29.86/30.06	tff('5', plain,
29.86/30.06	    ![X319 : type]:
29.86/30.06	      (thesis
29.86/30.06	       | ~ app_encode_app(type, $o, 
29.86/30.06	             app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	               app_encode_app(fun(nat, type), 
29.86/30.06	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	                 app_encode_app(type, fun(nat, type), 
29.86/30.06	                   app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	                     app_encode_app(fun(nat, type), 
29.86/30.06	                       app_encode_fun(nat, 
29.86/30.06	                         app_encode_fun(type, fun(nat, type))), shift(type), 
29.86/30.06	                       e), i), t)), 
29.86/30.06	               app_encode_app(dB, dB, 
29.86/30.06	                 app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                   aa(dB, dB), 
29.86/30.06	                   app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                     app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                       app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), 
29.86/30.06	                       app), a)), app_encode_app(dB, dB, abs, r))), X319)),
29.86/30.06	    inference('demod', [status(thm)], ['4', '1'])).
29.86/30.06	tff(zf_stmt_160, conjecture, (thesis)).
29.86/30.06	tff(zf_stmt_0, negated_conjecture, (~thesis)).
29.86/30.06	tff('6', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
29.86/30.06	tff('7', plain,
29.86/30.06	    ![X319 : type]:
29.86/30.06	      ~ app_encode_app(type, $o, 
29.86/30.06	          app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	            app_encode_app(fun(nat, type), 
29.86/30.06	              app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	              app_encode_app(type, fun(nat, type), 
29.86/30.06	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	                  app_encode_app(fun(nat, type), 
29.86/30.06	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
29.86/30.06	                    shift(type), e), i), t)), 
29.86/30.06	            app_encode_app(dB, dB, 
29.86/30.06	              app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                aa(dB, dB), 
29.86/30.06	                app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                  app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                    app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), app), 
29.86/30.06	                  a)), app_encode_app(dB, dB, abs, r))), X319),
29.86/30.06	    inference('clc', [status(thm)], ['5', '6'])).
29.86/30.06	tff('8', plain,
29.86/30.06	    ![X0 : type, X1 : list(dB)]:
29.86/30.06	      (~ $true
29.86/30.06	       | ~ app_encode_app(type, $o, 
29.86/30.06	             app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	               app_encode_app(fun(nat, type), 
29.86/30.06	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	                 app_encode_app(type, fun(nat, type), 
29.86/30.06	                   app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	                     app_encode_app(fun(nat, type), 
29.86/30.06	                       app_encode_fun(nat, 
29.86/30.06	                         app_encode_fun(type, fun(nat, type))), shift(type), 
29.86/30.06	                       e), i), t)), 
29.86/30.06	               app_encode_app(list(dB), dB, 
29.86/30.06	                 app_encode_app(dB, app_encode_fun(list(dB), dB), 
29.86/30.06	                   app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                     app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
29.86/30.06	                     foldl(dB, dB), app), 
29.86/30.06	                   app_encode_app(dB, dB, 
29.86/30.06	                     app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                       aa(dB, dB), 
29.86/30.06	                       app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                         app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                           app_encode_fun(dB, fun(dB, dB)), 
29.86/30.06	                           combc(dB, dB, dB), app), a)), 
29.86/30.06	                     app_encode_app(dB, dB, abs, r))), X1)), X0)),
29.86/30.06	    inference('sup-', [status(thm)], ['3', '7'])).
29.86/30.06	tff('9', plain,
29.86/30.06	    ![X0 : type, X1 : list(dB)]:
29.86/30.06	      ~ app_encode_app(type, $o, 
29.86/30.06	          app_encode_app(dB, app_encode_fun(type, $o), 
29.86/30.06	            app_encode_app(fun(nat, type), 
29.86/30.06	              app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
29.86/30.06	              app_encode_app(type, fun(nat, type), 
29.86/30.06	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
29.86/30.06	                  app_encode_app(fun(nat, type), 
29.86/30.06	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
29.86/30.06	                    shift(type), e), i), t)), 
29.86/30.06	            app_encode_app(list(dB), dB, 
29.86/30.06	              app_encode_app(dB, app_encode_fun(list(dB), dB), 
29.86/30.06	                app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                  app_encode_fun(dB, app_encode_fun(list(dB), dB)), 
29.86/30.06	                  foldl(dB, dB), app), 
29.86/30.06	                app_encode_app(dB, dB, 
29.86/30.06	                  app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
29.86/30.06	                    aa(dB, dB), 
29.86/30.06	                    app_encode_app(dB, fun(dB, dB), 
29.86/30.06	                      app_encode_app(fun(dB, fun(dB, dB)), 
29.86/30.06	                        app_encode_fun(dB, fun(dB, dB)), combc(dB, dB, dB), 
29.86/30.06	                        app), a)), app_encode_app(dB, dB, abs, r))), X1)), 
29.86/30.06	          X0),
29.86/30.06	    inference('simplify', [status(thm)], ['8'])).
29.86/30.06	tff('10', plain, ~ $true, inference('sup-', [status(thm)], ['2', '9'])).
29.86/30.06	tff('11', plain, $false, inference('simplify', [status(thm)], ['10'])).
29.86/30.06	
29.86/30.06	% SZS output end Refutation
29.86/30.06	EOF
