0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n132.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:08:23 CST 2018
32.83/33.07	% done 1608 iterations in 32.870s
32.83/33.07	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
32.83/33.07	% SZS output start Refutation
32.83/33.07	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
32.83/33.07	tff('0', plain, ![X334 : bool]: (X334 = fFalse | X334 = fTrue),
32.83/33.07	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
32.83/33.07	tff(help_COMBI_1_1_U, axiom, (![A:$tType,P:A]: (aa(A,A,combi(A),P) = P))).
32.83/33.07	tff('1', plain,
32.83/33.07	    ![X320 : $tType, X321 : X320]: aa(X320, X320, combi(X320), X321) = X321,
32.83/33.07	    inference('cnf', [status(esa)], [help_COMBI_1_1_U])).
32.83/33.07	tff('2', plain,
32.83/33.07	    ![X0 : bool]: (fFalse = X0 | aa(bool, bool, combi(bool), X0) = fTrue),
32.83/33.07	    inference('sup+', [status(thm)], ['0', '1'])).
32.83/33.07	tff('3', plain, ![X0 : bool]: (fFalse = X0 | X0 = fTrue),
32.83/33.07	    inference('demod', [status(thm)], ['2', '1'])).
32.83/33.07	tff(fact_17_uIT, axiom, (pp(aa(dB,bool,it,u)))).
32.83/33.07	tff('4', plain, pp(aa(dB, bool, it, u)),
32.83/33.07	    inference('cnf', [status(esa)], [fact_17_uIT])).
32.83/33.07	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
32.83/33.07	tff('5', plain, ~ pp(fFalse),
32.83/33.07	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
32.83/33.07	tff('6', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
32.83/33.07	    inference('sup-', [status(thm)], ['0', '5'])).
32.83/33.07	tff('7', plain, (~ $true | aa(dB, bool, it, u) = fTrue),
32.83/33.07	    inference('sup-', [status(thm)], ['4', '6'])).
32.83/33.07	tff('8', plain, aa(dB, bool, it, u) = fTrue,
32.83/33.07	    inference('simplify', [status(thm)], ['7'])).
32.83/33.07	tff('9', plain, ![X0 : bool]: (fFalse = X0 | X0 = aa(dB, bool, it, u)),
32.83/33.07	    inference('demod', [status(thm)], ['3', '8'])).
32.83/33.07	tff(fact_2_Cons_I1_J, axiom,
32.83/33.07	  ((?[X11:type]:
32.83/33.07	      pp(aa(type,bool,
32.83/33.07	            aa(dB,fun(type,bool),
32.83/33.07	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
32.83/33.07	                  aa(type,fun(nat,type),
32.83/33.07	                     aa(nat,fun(type,fun(nat,type)),
32.83/33.07	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
32.83/33.07	                           shift(type),e),
32.83/33.07	                        i),
32.83/33.07	                     t)),
32.83/33.07	               b),
32.83/33.07	            X11))) & 
32.83/33.07	   (![E1:fun(nat,type),T3:type,U3:dB,I1:nat]:
32.83/33.07	      (pp(aa(type,bool,
32.83/33.07	             aa(dB,fun(type,bool),
32.83/33.07	                aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
32.83/33.07	                   aa(type,fun(nat,type),
32.83/33.07	                      aa(nat,fun(type,fun(nat,type)),
32.83/33.07	                         aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
32.83/33.07	                            shift(type),E1),
32.83/33.07	                         I1),
32.83/33.07	                      t)),
32.83/33.07	                b),
32.83/33.07	             T3)) =>
32.83/33.07	       (pp(aa(dB,bool,it,U3)) =>
32.83/33.07	        (pp(aa(type,bool,
32.83/33.07	               aa(dB,fun(type,bool),
32.83/33.07	                  aa(fun(nat,type),fun(dB,fun(type,bool)),typing,E1),U3),
32.83/33.07	               t)) =>
32.83/33.07	         pp(aa(dB,bool,it,
32.83/33.07	               aa(nat,dB,
32.83/33.07	                  aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),U3),I1))))))))).
32.83/33.07	tff('10', plain,
32.83/33.07	    pp(
32.83/33.07	      aa(type, bool, 
32.83/33.07	        aa(dB, fun(type, bool), 
32.83/33.07	          aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.07	            aa(type, fun(nat, type), 
32.83/33.07	              aa(nat, fun(type, fun(nat, type)), 
32.83/33.07	                aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
32.83/33.07	                  shift(type), e), i), t)), b), sk_X11)),
32.83/33.07	    inference('cnf', [status(esa)], [fact_2_Cons_I1_J])).
32.83/33.07	tff('11', plain,
32.83/33.07	    (pp(fFalse)
32.83/33.07	     | aa(type, bool, 
32.83/33.07	         aa(dB, fun(type, bool), 
32.83/33.07	           aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.07	             aa(type, fun(nat, type), 
32.83/33.07	               aa(nat, fun(type, fun(nat, type)), 
32.83/33.07	                 aa(fun(nat, type), fun(nat, fun(type, fun(nat, type))), 
32.83/33.07	                   shift(type), e), i), t)), b), sk_X11)
32.83/33.07	        = aa(dB, bool, it, u)),
32.83/33.07	    inference('sup+', [status(thm)], ['9', '10'])).
32.83/33.07	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
32.83/33.07	tff('12', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
32.83/33.07	tff('13', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
32.83/33.07	    inference('sup+', [status(thm)], ['0', '12'])).
32.83/33.07	tff(help_fAll_1_1_U, axiom,
32.83/33.07	  (![A:$tType,X:A,P:fun(A,bool)]:
32.83/33.07	     (pp(aa(A,bool,P,X)) | (~pp(aa(fun(A,bool),bool,fAll(A),P)))))).
32.83/33.07	tff('14', plain,
32.83/33.07	    ![X305 : $tType, X306 : fun(X305, bool), X307 : X305]:
32.83/33.07	      (pp(aa(X305, bool, X306, X307))
32.83/33.07	       | ~ pp(aa(fun(X305, bool), bool, fAll(X305), X306))),
32.83/33.07	    inference('cnf', [status(esa)], [help_fAll_1_1_U])).
32.83/33.07	tff('15', plain,
32.83/33.07	    ![X0 : $tType, X1 : fun(X0, bool), X2 : X0]:
32.83/33.07	      (~ $true
32.83/33.07	       | aa(fun(X0, bool), bool, fAll(X0), X1) = fFalse
32.83/33.07	       | pp(aa(X0, bool, X1, X2))),
32.83/33.07	    inference('sup-', [status(thm)], ['13', '14'])).
32.83/33.07	tff('16', plain,
32.83/33.07	    ![X0 : $tType, X1 : fun(X0, bool), X2 : X0]:
32.83/33.07	      (pp(aa(X0, bool, X1, X2))
32.83/33.07	       | aa(fun(X0, bool), bool, fAll(X0), X1) = fFalse),
32.83/33.07	    inference('simplify', [status(thm)], ['15'])).
32.83/33.07	tff('17', plain,
32.83/33.07	    ![X0 : bool]:
32.83/33.07	      (pp(X0) | aa(fun(bool, bool), bool, fAll(bool), combi(bool)) = fFalse),
32.83/33.07	    inference('sup+', [status(thm)], ['1', '16'])).
32.83/33.07	tff(help_fequal_1_1_T, axiom,
32.83/33.07	  (![A:$tType,Y:A,X:A]:
32.83/33.07	     ((X = Y) | (~pp(aa(A,bool,aa(A,fun(A,bool),fequal(A),X),Y)))))).
32.83/33.07	tff('18', plain,
32.83/33.07	    ![X335 : $tType, X336 : X335, X337 : X335]:
32.83/33.07	      (X337 = X336
32.83/33.07	       | ~ pp(
32.83/33.07	             aa(X335, bool, aa(X335, fun(X335, bool), fequal(X335), X337), 
32.83/33.07	               X336))),
32.83/33.07	    inference('cnf', [status(esa)], [help_fequal_1_1_T])).
32.83/33.07	tff('19', plain,
32.83/33.07	    ![X0 : $tType, X1 : X0, X2 : X0]:
32.83/33.07	      (~ $true
32.83/33.07	       | aa(fun(bool, bool), bool, fAll(bool), combi(bool)) = fFalse
32.83/33.07	       | X2 = X1),
32.83/33.07	    inference('sup-', [status(thm)], ['17', '18'])).
32.83/33.07	tff('20', plain,
32.83/33.07	    ![X0 : $tType, X1 : X0, X2 : X0]:
32.83/33.07	      (X2 = X1 | aa(fun(bool, bool), bool, fAll(bool), combi(bool)) = fFalse),
32.83/33.07	    inference('simplify', [status(thm)], ['19'])).
32.83/33.07	tff('21', plain, aa(fun(bool, bool), bool, fAll(bool), combi(bool)) = fFalse,
32.83/33.07	    inference('condensation', [status(thm)], ['20'])).
32.83/33.07	tff('22', plain,
32.83/33.07	    (pp(fFalse)
32.83/33.07	     | aa(fun(fun(bool, bool), bool), bool, fAll(fun(bool, bool)), 
32.83/33.07	         fAll(bool))
32.83/33.07	        = fFalse),
32.83/33.07	    inference('sup+', [status(thm)], ['21', '16'])).
32.83/33.07	tff('23', plain,
32.83/33.07	    aa(fun(fun(bool, bool), bool), bool, fAll(fun(bool, bool)), fAll(bool))
32.83/33.07	     = fFalse,
32.83/33.07	    inference('clc', [status(thm)], ['22', '5'])).
32.83/33.07	tff(help_COMBC_1_1_U, axiom,
32.83/33.07	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
32.83/33.07	     (aa(A,C,
32.83/33.07	         aa(B,fun(A,C),aa(fun(A,fun(B,C)),fun(B,fun(A,C)),combc(A,B,C),P),Q),
32.83/33.07	         R) =
32.83/33.07	      aa(B,C,aa(A,fun(B,C),P,R),Q)))).
32.83/33.07	tff('24', plain,
32.83/33.07	    ![X314 : $tType, X315 : $tType, X316 : $tType, 
32.83/33.07	      X317 : fun(X316, fun(X314, X315)), X318 : X316, X319 : X314]:
32.83/33.07	      aa(X316, X315, 
32.83/33.07	        aa(X314, fun(X316, X315), 
32.83/33.07	          aa(fun(X316, fun(X314, X315)), fun(X314, fun(X316, X315)), 
32.83/33.07	            combc(X316, X314, X315), X317), X319), X318)
32.83/33.07	       = aa(X314, X315, aa(X316, fun(X314, X315), X317, X318), X319),
32.83/33.07	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
32.83/33.07	tff(help_COMBB_1_1_U, axiom,
32.83/33.07	  (![C:$tType,B:$tType,A:$tType,R:A,Q:fun(A,B),P:fun(B,C)]:
32.83/33.07	     (aa(A,C,
32.83/33.07	         aa(fun(A,B),fun(A,C),
32.83/33.07	            aa(fun(B,C),fun(fun(A,B),fun(A,C)),combb(B,C,A),P),Q),
32.83/33.07	         R) =
32.83/33.07	      aa(B,C,P,aa(A,B,Q,R))))).
32.83/33.07	tff('25', plain,
32.83/33.07	    ![X308 : $tType, X309 : $tType, X310 : fun(X308, X309), X311 : $tType, 
32.83/33.07	      X312 : fun(X311, X308), X313 : X311]:
32.83/33.07	      aa(X311, X309, 
32.83/33.07	        aa(fun(X311, X308), fun(X311, X309), 
32.83/33.07	          aa(fun(X308, X309), fun(fun(X311, X308), fun(X311, X309)), 
32.83/33.07	            combb(X308, X309, X311), X310), X312), X313)
32.83/33.07	       = aa(X308, X309, X310, aa(X311, X308, X312, X313)),
32.83/33.07	    inference('cnf', [status(esa)], [help_COMBB_1_1_U])).
32.83/33.07	tff('26', plain,
32.83/33.07	    (pp(
32.83/33.07	       aa(fun(fun(bool, bool), bool), bool, fAll(fun(bool, bool)), 
32.83/33.07	         fAll(bool)))
32.83/33.07	     | aa(type, bool, 
32.83/33.07	         aa(dB, fun(type, bool), 
32.83/33.07	           aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.07	             aa(fun(nat, type), fun(nat, type), 
32.83/33.07	               aa(nat, fun(fun(nat, type), fun(nat, type)), 
32.83/33.07	                 aa(
32.83/33.07	                   fun(fun(nat, type), fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                   fun(nat, fun(fun(nat, type), fun(nat, type))), 
32.83/33.07	                   aa(type, 
32.83/33.07	                     fun(
32.83/33.07	                       fun(fun(nat, type), 
32.83/33.07	                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                       fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                     aa(
32.83/33.07	                       fun(
32.83/33.07	                         fun(fun(nat, type), 
32.83/33.07	                           fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                         fun(nat, 
32.83/33.07	                           fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                       fun(type, 
32.83/33.07	                         fun(
32.83/33.07	                           fun(fun(nat, type), 
32.83/33.07	                             fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                           fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                       aa(
32.83/33.07	                         fun(type, 
32.83/33.07	                           fun(
32.83/33.07	                             fun(nat, 
32.83/33.07	                               fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                             fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                         fun(
32.83/33.07	                           fun(
32.83/33.07	                             fun(fun(nat, type), 
32.83/33.07	                               fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                             fun(nat, 
32.83/33.07	                               fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                           fun(type, 
32.83/33.07	                             fun(
32.83/33.07	                               fun(fun(nat, type), 
32.83/33.07	                                 fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                               fun(nat, fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                         aa(
32.83/33.07	                           fun(
32.83/33.07	                             fun(type, 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                             fun(type, 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                           fun(
32.83/33.07	                             fun(type, 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                             fun(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(fun(nat, type), 
32.83/33.07	                                   fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                               fun(type, 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                           aa(
32.83/33.07	                             fun(
32.83/33.07	                               fun(type, 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                             fun(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(
32.83/33.07	                                       fun(fun(nat, type), 
32.83/33.07	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                       fun(nat, 
32.83/33.07	                                         fun(type, 
32.83/33.07	                                           fun(fun(nat, type), 
32.83/33.07	                                             fun(nat, type))))), 
32.83/33.07	                                     fun(
32.83/33.07	                                       fun(fun(nat, type), 
32.83/33.07	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                       fun(nat, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(
32.83/33.07	                                       fun(fun(nat, type), 
32.83/33.07	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                       fun(nat, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type)))))))), 
32.83/33.07	                             combb(
32.83/33.07	                               fun(type, 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                               fun(type, 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                             combc(type, 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(fun(nat, type), 
32.83/33.07	                                   fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(fun(nat, type), 
32.83/33.07	                                   fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                           aa(
32.83/33.07	                             fun(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                             fun(
32.83/33.07	                               fun(type, 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                               fun(type, 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                             combb(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                               type), 
32.83/33.07	                             combb(
32.83/33.07	                               fun(nat, 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                               fun(nat, fun(fun(nat, type), fun(nat, type))), 
32.83/33.07	                               fun(fun(nat, type), 
32.83/33.07	                                 fun(nat, fun(type, fun(nat, type))))))), 
32.83/33.07	                         aa(
32.83/33.07	                           fun(
32.83/33.07	                             fun(nat, 
32.83/33.07	                               fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                             fun(type, 
32.83/33.07	                               fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                           fun(type, 
32.83/33.07	                             fun(
32.83/33.07	                               fun(nat, 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                               fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                           combc(
32.83/33.07	                             fun(nat, 
32.83/33.07	                               fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                             type, 
32.83/33.07	                             fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                           combc(nat, type, 
32.83/33.07	                             fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                       aa(
32.83/33.07	                         fun(
32.83/33.07	                           fun(fun(nat, type), 
32.83/33.07	                             fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                           fun(nat, 
32.83/33.07	                             fun(fun(nat, type), fun(type, fun(nat, type))))), 
32.83/33.07	                         fun(
32.83/33.07	                           fun(fun(nat, type), 
32.83/33.07	                             fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                           fun(nat, 
32.83/33.07	                             fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                         aa(
32.83/33.07	                           fun(
32.83/33.07	                             fun(fun(nat, type), fun(type, fun(nat, type))), 
32.83/33.07	                             fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                           fun(
32.83/33.07	                             fun(
32.83/33.07	                               fun(fun(nat, type), 
32.83/33.07	                                 fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                               fun(nat, 
32.83/33.07	                                 fun(fun(nat, type), 
32.83/33.07	                                   fun(type, fun(nat, type))))), 
32.83/33.07	                             fun(
32.83/33.07	                               fun(fun(nat, type), 
32.83/33.07	                                 fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                               fun(nat, 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                           aa(
32.83/33.07	                             fun(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(fun(nat, type), 
32.83/33.07	                                   fun(type, fun(nat, type))), 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(type, fun(nat, type)))), 
32.83/33.07	                                 fun(nat, 
32.83/33.07	                                   fun(type, 
32.83/33.07	                                     fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.07	                             fun(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(fun(nat, type), 
32.83/33.07	                                   fun(type, fun(nat, type))), 
32.83/33.07	                                 fun(type, 
32.83/33.07	                                   fun(fun(nat, type), fun(nat, type)))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(type, fun(nat, type))))), 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(fun(nat, type), 
32.83/33.07	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                             aa(
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(type, fun(nat, type)))), 
32.83/33.07	                                   fun(nat, 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(fun(nat, type), 
32.83/33.07	                                         fun(type, fun(nat, type))))), 
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.07	                                     fun(nat, 
32.83/33.07	                                       fun(type, 
32.83/33.07	                                         fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.07	                               fun(
32.83/33.07	                                 fun(
32.83/33.07	                                   fun(
32.83/33.07	                                     fun(fun(nat, type), 
32.83/33.07	                                       fun(type, fun(nat, type))), 
32.83/33.07	                                     fun(type, 
32.83/33.07	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(type, fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(type, fun(nat, type))), 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(type, fun(nat, type))))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))))))), 
32.83/33.08	                               combb(
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(type, fun(nat, type)))), 
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(type, fun(nat, type))))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(fun(nat, type), 
32.83/33.08	                                     fun(type, fun(nat, type))), 
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                               combb(
32.83/33.08	                                 fun(nat, 
32.83/33.08	                                   fun(fun(nat, type), 
32.83/33.08	                                     fun(type, fun(nat, type)))), 
32.83/33.08	                                 fun(nat, 
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                 fun(fun(nat, type), 
32.83/33.08	                                   fun(nat, fun(type, fun(nat, type)))))), 
32.83/33.08	                             combb(
32.83/33.08	                               fun(fun(nat, type), fun(type, fun(nat, type))), 
32.83/33.08	                               fun(type, fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                               nat)), 
32.83/33.08	                           combc(fun(nat, type), type, fun(nat, type))), 
32.83/33.08	                         combc(fun(nat, type), nat, 
32.83/33.08	                           fun(type, fun(nat, type))))), t), shift(type)), i), 
32.83/33.08	               e)), b), sk_X11)
32.83/33.08	        = aa(dB, bool, it, u)),
32.83/33.08	    inference('demod', [status(thm)],
32.83/33.08	              ['11', '23', '24', '24', '25', '25', '25', '24', '24', '25', 
32.83/33.08	               '25', '24', '25'])).
32.83/33.08	tff('27', plain,
32.83/33.08	    ~ pp(
32.83/33.08	        aa(fun(fun(bool, bool), bool), bool, fAll(fun(bool, bool)), 
32.83/33.08	          fAll(bool))),
32.83/33.08	    inference('demod', [status(thm)], ['5', '23'])).
32.83/33.08	tff('28', plain,
32.83/33.08	    aa(type, bool, 
32.83/33.08	      aa(dB, fun(type, bool), 
32.83/33.08	        aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.08	          aa(fun(nat, type), fun(nat, type), 
32.83/33.08	            aa(nat, fun(fun(nat, type), fun(nat, type)), 
32.83/33.08	              aa(fun(fun(nat, type), fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                fun(nat, fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                aa(type, 
32.83/33.08	                  fun(
32.83/33.08	                    fun(fun(nat, type), fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                    fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                  aa(
32.83/33.08	                    fun(
32.83/33.08	                      fun(fun(nat, type), 
32.83/33.08	                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                      fun(nat, 
32.83/33.08	                        fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                    fun(type, 
32.83/33.08	                      fun(
32.83/33.08	                        fun(fun(nat, type), 
32.83/33.08	                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                        fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                    aa(
32.83/33.08	                      fun(type, 
32.83/33.08	                        fun(
32.83/33.08	                          fun(nat, 
32.83/33.08	                            fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                          fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                      fun(
32.83/33.08	                        fun(
32.83/33.08	                          fun(fun(nat, type), 
32.83/33.08	                            fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                          fun(nat, 
32.83/33.08	                            fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                        fun(type, 
32.83/33.08	                          fun(
32.83/33.08	                            fun(fun(nat, type), 
32.83/33.08	                              fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                            fun(nat, fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                      aa(
32.83/33.08	                        fun(
32.83/33.08	                          fun(type, 
32.83/33.08	                            fun(
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                          fun(type, 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                        fun(
32.83/33.08	                          fun(type, 
32.83/33.08	                            fun(
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                          fun(
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                        aa(
32.83/33.08	                          fun(
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                          fun(
32.83/33.08	                            fun(
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))))))), 
32.83/33.08	                          combb(
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                          combc(type, 
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                        aa(
32.83/33.08	                          fun(
32.83/33.08	                            fun(
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                          fun(
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                          combb(
32.83/33.08	                            fun(
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            type), 
32.83/33.08	                          combb(
32.83/33.08	                            fun(nat, 
32.83/33.08	                              fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                            fun(nat, fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                            fun(fun(nat, type), 
32.83/33.08	                              fun(nat, fun(type, fun(nat, type))))))), 
32.83/33.08	                      aa(
32.83/33.08	                        fun(
32.83/33.08	                          fun(nat, 
32.83/33.08	                            fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                          fun(type, 
32.83/33.08	                            fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                        fun(type, 
32.83/33.08	                          fun(
32.83/33.08	                            fun(nat, 
32.83/33.08	                              fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                            fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                        combc(
32.83/33.08	                          fun(nat, 
32.83/33.08	                            fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                          type, 
32.83/33.08	                          fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                        combc(nat, type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                    aa(
32.83/33.08	                      fun(
32.83/33.08	                        fun(fun(nat, type), 
32.83/33.08	                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                        fun(nat, 
32.83/33.08	                          fun(fun(nat, type), fun(type, fun(nat, type))))), 
32.83/33.08	                      fun(
32.83/33.08	                        fun(fun(nat, type), 
32.83/33.08	                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                        fun(nat, 
32.83/33.08	                          fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                      aa(
32.83/33.08	                        fun(fun(fun(nat, type), fun(type, fun(nat, type))), 
32.83/33.08	                          fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                        fun(
32.83/33.08	                          fun(
32.83/33.08	                            fun(fun(nat, type), 
32.83/33.08	                              fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                            fun(nat, 
32.83/33.08	                              fun(fun(nat, type), fun(type, fun(nat, type))))), 
32.83/33.08	                          fun(
32.83/33.08	                            fun(fun(nat, type), 
32.83/33.08	                              fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                            fun(nat, 
32.83/33.08	                              fun(type, fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                        aa(
32.83/33.08	                          fun(
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), fun(type, fun(nat, type))), 
32.83/33.08	                              fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                          fun(
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), fun(type, fun(nat, type))), 
32.83/33.08	                              fun(type, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(type, fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                          aa(
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(type, fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(type, fun(nat, type))), 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(type, fun(nat, type))), 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(type, fun(nat, type))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))))))), 
32.83/33.08	                            combb(
32.83/33.08	                              fun(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(type, fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(type, fun(nat, type))), 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            combb(
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))))), 
32.83/33.08	                          combb(
32.83/33.08	                            fun(fun(nat, type), fun(type, fun(nat, type))), 
32.83/33.08	                            fun(type, fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                            nat)), 
32.83/33.08	                        combc(fun(nat, type), type, fun(nat, type))), 
32.83/33.08	                      combc(fun(nat, type), nat, fun(type, fun(nat, type))))), 
32.83/33.08	                  t), shift(type)), i), e)), b), sk_X11)
32.83/33.08	     = aa(dB, bool, it, u),
32.83/33.08	    inference('clc', [status(thm)], ['26', '27'])).
32.83/33.08	tff(conj_0, axiom,
32.83/33.08	  (![U:type]:
32.83/33.08	     (pp(aa(type,bool,
32.83/33.08	            aa(dB,fun(type,bool),
32.83/33.08	               aa(fun(nat,type),fun(dB,fun(type,bool)),typing,
32.83/33.08	                  aa(type,fun(nat,type),
32.83/33.08	                     aa(nat,fun(type,fun(nat,type)),
32.83/33.08	                        aa(fun(nat,type),fun(nat,fun(type,fun(nat,type))),
32.83/33.08	                           shift(type),e),
32.83/33.08	                        i),
32.83/33.08	                     t)),
32.83/33.08	               b),
32.83/33.08	            U)) =>
32.83/33.08	      thesis))).
32.83/33.08	tff('29', plain,
32.83/33.08	    ![X347 : type]:
32.83/33.08	      (thesis
32.83/33.08	       | ~ pp(
32.83/33.08	             aa(type, bool, 
32.83/33.08	               aa(dB, fun(type, bool), 
32.83/33.08	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.08	                   aa(type, fun(nat, type), 
32.83/33.08	                     aa(nat, fun(type, fun(nat, type)), 
32.83/33.08	                       aa(fun(nat, type), 
32.83/33.08	                         fun(nat, fun(type, fun(nat, type))), shift(type), e), 
32.83/33.08	                       i), t)), b), X347))),
32.83/33.08	    inference('cnf', [status(esa)], [conj_0])).
32.83/33.08	tff('30', plain,
32.83/33.08	    ![X347 : type]:
32.83/33.08	      (thesis
32.83/33.08	       | ~ pp(
32.83/33.08	             aa(type, bool, 
32.83/33.08	               aa(dB, fun(type, bool), 
32.83/33.08	                 aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.08	                   aa(fun(nat, type), fun(nat, type), 
32.83/33.08	                     aa(nat, fun(fun(nat, type), fun(nat, type)), 
32.83/33.08	                       aa(
32.83/33.08	                         fun(fun(nat, type), 
32.83/33.08	                           fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                         fun(nat, fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                         aa(type, 
32.83/33.08	                           fun(
32.83/33.08	                             fun(fun(nat, type), 
32.83/33.08	                               fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                             fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                           aa(
32.83/33.08	                             fun(
32.83/33.08	                               fun(fun(nat, type), 
32.83/33.08	                                 fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                               fun(nat, 
32.83/33.08	                                 fun(type, 
32.83/33.08	                                   fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                             fun(type, 
32.83/33.08	                               fun(
32.83/33.08	                                 fun(fun(nat, type), 
32.83/33.08	                                   fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                 fun(nat, 
32.83/33.08	                                   fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                             aa(
32.83/33.08	                               fun(type, 
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                               fun(
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(fun(nat, type), 
32.83/33.08	                                     fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                 fun(type, 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                               aa(
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))))), 
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))), 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))))), 
32.83/33.08	                                 aa(
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type))))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, 
32.83/33.08	                                                 fun(type, fun(nat, type)))), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, 
32.83/33.08	                                                 fun(fun(nat, type), 
32.83/33.08	                                                   fun(nat, type))))), 
32.83/33.08	                                           fun(
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, 
32.83/33.08	                                                 fun(type, fun(nat, type)))), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type))))))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type))))), 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, 
32.83/33.08	                                                 fun(type, fun(nat, type)))), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type)))))))), 
32.83/33.08	                                   combb(
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type))))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))))), 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))))), 
32.83/33.08	                                   combc(type, 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                 aa(
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))), 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type))))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))))), 
32.83/33.08	                                   combb(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))), type), 
32.83/33.08	                                   combb(
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(nat, fun(type, fun(nat, type))))))), 
32.83/33.08	                               aa(
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                 fun(type, 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                 combc(
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                   type, 
32.83/33.08	                                   fun(nat, 
32.83/33.08	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                 combc(nat, type, 
32.83/33.08	                                   fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                             aa(
32.83/33.08	                               fun(
32.83/33.08	                                 fun(fun(nat, type), 
32.83/33.08	                                   fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                 fun(nat, 
32.83/33.08	                                   fun(fun(nat, type), 
32.83/33.08	                                     fun(type, fun(nat, type))))), 
32.83/33.08	                               fun(
32.83/33.08	                                 fun(fun(nat, type), 
32.83/33.08	                                   fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                 fun(nat, 
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                               aa(
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(fun(nat, type), 
32.83/33.08	                                     fun(type, fun(nat, type))), 
32.83/33.08	                                   fun(type, 
32.83/33.08	                                     fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                 fun(
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(type, fun(nat, type))))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                     fun(nat, 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                 aa(
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(type, fun(nat, type))), 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))))), 
32.83/33.08	                                   fun(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(type, fun(nat, type))), 
32.83/33.08	                                       fun(type, 
32.83/33.08	                                         fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(type, fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))))), 
32.83/33.08	                                   aa(
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(type, fun(nat, type))))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type))))))), 
32.83/33.08	                                     fun(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(type, fun(nat, type))), 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type)))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(type, fun(nat, type))), 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type)))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, 
32.83/33.08	                                                 fun(type, fun(nat, type)))), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(type, fun(nat, type))))), 
32.83/33.08	                                           fun(
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, 
32.83/33.08	                                                 fun(type, fun(nat, type)))), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, 
32.83/33.08	                                                 fun(fun(nat, type), 
32.83/33.08	                                                   fun(nat, type)))))))), 
32.83/33.08	                                     combb(
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(type, fun(nat, type)))), 
32.83/33.08	                                         fun(nat, 
32.83/33.08	                                           fun(type, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(nat, type))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(fun(nat, type), 
32.83/33.08	                                               fun(type, fun(nat, type))))), 
32.83/33.08	                                         fun(
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, 
32.83/33.08	                                               fun(type, fun(nat, type)))), 
32.83/33.08	                                           fun(nat, 
32.83/33.08	                                             fun(type, 
32.83/33.08	                                               fun(fun(nat, type), 
32.83/33.08	                                                 fun(nat, type)))))), 
32.83/33.08	                                       fun(
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(type, fun(nat, type))), 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type))))), 
32.83/33.08	                                     combb(
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(fun(nat, type), 
32.83/33.08	                                           fun(type, fun(nat, type)))), 
32.83/33.08	                                       fun(nat, 
32.83/33.08	                                         fun(type, 
32.83/33.08	                                           fun(fun(nat, type), 
32.83/33.08	                                             fun(nat, type)))), 
32.83/33.08	                                       fun(fun(nat, type), 
32.83/33.08	                                         fun(nat, fun(type, fun(nat, type)))))), 
32.83/33.08	                                   combb(
32.83/33.08	                                     fun(fun(nat, type), 
32.83/33.08	                                       fun(type, fun(nat, type))), 
32.83/33.08	                                     fun(type, 
32.83/33.08	                                       fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                                     nat)), 
32.83/33.08	                                 combc(fun(nat, type), type, fun(nat, type))), 
32.83/33.08	                               combc(fun(nat, type), nat, 
32.83/33.08	                                 fun(type, fun(nat, type))))), t), 
32.83/33.08	                         shift(type)), i), e)), b), X347))),
32.83/33.08	    inference('demod', [status(thm)],
32.83/33.08	              ['29', '24', '24', '25', '25', '25', '24', '24', '25', '25', 
32.83/33.08	               '24', '25'])).
32.83/33.08	tff(conj_1, conjecture, (thesis)).
32.83/33.08	tff(zf_stmt_0, negated_conjecture, (~thesis)).
32.83/33.08	tff('31', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
32.83/33.08	tff('32', plain,
32.83/33.08	    ![X347 : type]:
32.83/33.08	      ~ pp(
32.83/33.08	          aa(type, bool, 
32.83/33.08	            aa(dB, fun(type, bool), 
32.83/33.08	              aa(fun(nat, type), fun(dB, fun(type, bool)), typing, 
32.83/33.08	                aa(fun(nat, type), fun(nat, type), 
32.83/33.08	                  aa(nat, fun(fun(nat, type), fun(nat, type)), 
32.83/33.08	                    aa(
32.83/33.08	                      fun(fun(nat, type), 
32.83/33.08	                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                      fun(nat, fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                      aa(type, 
32.83/33.08	                        fun(
32.83/33.08	                          fun(fun(nat, type), 
32.83/33.08	                            fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                          fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                        aa(
32.83/33.08	                          fun(
32.83/33.08	                            fun(fun(nat, type), 
32.83/33.08	                              fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                            fun(nat, 
32.83/33.08	                              fun(type, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                          fun(type, 
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                          aa(
32.83/33.08	                            fun(type, 
32.83/33.08	                              fun(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                            aa(
32.83/33.08	                              fun(
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                              aa(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type))))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(nat, 
32.83/33.08	                                              fun(type, fun(nat, type)))), 
32.83/33.08	                                          fun(nat, 
32.83/33.08	                                            fun(type, 
32.83/33.08	                                              fun(fun(nat, type), 
32.83/33.08	                                                fun(nat, type))))), 
32.83/33.08	                                        fun(
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(nat, 
32.83/33.08	                                              fun(type, fun(nat, type)))), 
32.83/33.08	                                          fun(nat, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type))))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type))))), 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(nat, 
32.83/33.08	                                              fun(type, fun(nat, type)))), 
32.83/33.08	                                          fun(nat, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type)))))))), 
32.83/33.08	                                combb(
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type))))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                combc(type, 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                              aa(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type))))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                                combb(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                  type), 
32.83/33.08	                                combb(
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type))))))), 
32.83/33.08	                            aa(
32.83/33.08	                              fun(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              fun(type, 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                              combc(
32.83/33.08	                                fun(nat, 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                type, 
32.83/33.08	                                fun(nat, fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              combc(nat, type, 
32.83/33.08	                                fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                          aa(
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(type, fun(nat, type))))), 
32.83/33.08	                            fun(
32.83/33.08	                              fun(fun(nat, type), 
32.83/33.08	                                fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                              fun(nat, 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                            aa(
32.83/33.08	                              fun(
32.83/33.08	                                fun(fun(nat, type), 
32.83/33.08	                                  fun(type, fun(nat, type))), 
32.83/33.08	                                fun(type, 
32.83/33.08	                                  fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                              fun(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(type, fun(nat, type))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                  fun(nat, 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                              aa(
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(type, fun(nat, type))), 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))))), 
32.83/33.08	                                fun(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(type, fun(nat, type))), 
32.83/33.08	                                    fun(type, 
32.83/33.08	                                      fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(type, fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))))), 
32.83/33.08	                                aa(
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(type, fun(nat, type))))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type))))))), 
32.83/33.08	                                  fun(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(type, fun(nat, type))), 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type)))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(type, fun(nat, type))), 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(nat, 
32.83/33.08	                                              fun(type, fun(nat, type)))), 
32.83/33.08	                                          fun(nat, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(type, fun(nat, type))))), 
32.83/33.08	                                        fun(
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(nat, 
32.83/33.08	                                              fun(type, fun(nat, type)))), 
32.83/33.08	                                          fun(nat, 
32.83/33.08	                                            fun(type, 
32.83/33.08	                                              fun(fun(nat, type), 
32.83/33.08	                                                fun(nat, type)))))))), 
32.83/33.08	                                  combb(
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(type, fun(nat, type)))), 
32.83/33.08	                                      fun(nat, 
32.83/33.08	                                        fun(type, 
32.83/33.08	                                          fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(fun(nat, type), 
32.83/33.08	                                            fun(type, fun(nat, type))))), 
32.83/33.08	                                      fun(
32.83/33.08	                                        fun(fun(nat, type), 
32.83/33.08	                                          fun(nat, fun(type, fun(nat, type)))), 
32.83/33.08	                                        fun(nat, 
32.83/33.08	                                          fun(type, 
32.83/33.08	                                            fun(fun(nat, type), 
32.83/33.08	                                              fun(nat, type)))))), 
32.83/33.08	                                    fun(
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(type, fun(nat, type))), 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type))))), 
32.83/33.08	                                  combb(
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(fun(nat, type), 
32.83/33.08	                                        fun(type, fun(nat, type)))), 
32.83/33.08	                                    fun(nat, 
32.83/33.08	                                      fun(type, 
32.83/33.08	                                        fun(fun(nat, type), fun(nat, type)))), 
32.83/33.08	                                    fun(fun(nat, type), 
32.83/33.08	                                      fun(nat, fun(type, fun(nat, type)))))), 
32.83/33.08	                                combb(
32.83/33.08	                                  fun(fun(nat, type), 
32.83/33.08	                                    fun(type, fun(nat, type))), 
32.83/33.08	                                  fun(type, 
32.83/33.08	                                    fun(fun(nat, type), fun(nat, type))), 
32.83/33.08	                                  nat)), 
32.83/33.08	                              combc(fun(nat, type), type, fun(nat, type))), 
32.83/33.08	                            combc(fun(nat, type), nat, 
32.83/33.08	                              fun(type, fun(nat, type))))), t), shift(type)), 
32.83/33.08	                    i), e)), b), X347)),
32.83/33.08	    inference('clc', [status(thm)], ['30', '31'])).
32.83/33.08	tff('33', plain, ~ pp(aa(dB, bool, it, u)),
32.83/33.08	    inference('sup-', [status(thm)], ['28', '32'])).
32.83/33.08	tff('34', plain, ~ $true, inference('demod', [status(thm)], ['33', '4'])).
32.83/33.08	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
32.83/33.08	
32.83/33.08	% SZS output end Refutation
32.83/33.08	EOF
