0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n177.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:09:09 CST 2018
9.86/10.07	% done 2113 iterations in 9.873s
9.86/10.07	% SZS status Theorem for 'stdin'
9.86/10.07	% SZS output start Refutation
9.86/10.08	tff(zf_stmt_63, axiom,
9.86/10.08	  (app_encode_app(bool,$o,pp,
9.86/10.08	                  app_encode_app(list(type),bool,
9.86/10.08	                                 app_encode_app(fun(list(type),bool),
9.86/10.08	                                                app_encode_fun(list(type),
9.86/10.08	                                                               bool),
9.86/10.08	                                                aa(list(type),bool),
9.86/10.08	                                                app_encode_app(list(dB),
9.86/10.08	                                                               fun(list(type),
9.86/10.08	                                                                   bool),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(nat,type),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               list(dB),
9.86/10.08	                                                               fun(list(type),
9.86/10.08	                                                                   bool)),
9.86/10.08	                                                               typings,
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               type,
9.86/10.08	                                                               fun(nat,type),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               nat,
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               type,
9.86/10.08	                                                               fun(nat,type)),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(nat,type),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               nat,
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               type,
9.86/10.08	                                                               fun(nat,type))),
9.86/10.08	                                                               shift(type),e),
9.86/10.08	                                                               i),t)),as)),
9.86/10.08	                                 ts)))).
9.86/10.08	tff('0', plain,
9.86/10.08	    app_encode_app(bool, $o, pp, 
9.86/10.08	      app_encode_app(list(type), bool, 
9.86/10.08	        app_encode_app(fun(list(type), bool), 
9.86/10.08	          app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	          app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	            app_encode_app(fun(nat, type), 
9.86/10.08	              app_encode_fun(list(dB), fun(list(type), bool)), typings, 
9.86/10.08	              app_encode_app(type, fun(nat, type), 
9.86/10.08	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
9.86/10.08	                  app_encode_app(fun(nat, type), 
9.86/10.08	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
9.86/10.08	                    shift(type), e), i), t)), as)), ts)),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_63])).
9.86/10.08	tff(zf_stmt_65, axiom,
9.86/10.08	  (![Tsa:list(type),Ts:list(dB),Ib:nat,Ta1:type,Ub:dB,Eb:fun(nat,type)]:
9.86/10.08	     (app_encode_app(bool,$o,pp,
9.86/10.08	                     app_encode_app(type,bool,
9.86/10.08	                                    app_encode_app(fun(type,bool),
9.86/10.08	                                                   app_encode_fun(type,bool),
9.86/10.08	                                                   aa(type,bool),
9.86/10.08	                                                   app_encode_app(dB,
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  type,bool),
9.86/10.08	                                                                  app_encode_app(
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  dB,
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  type,bool)),
9.86/10.08	                                                                  app_encode_fun(
9.86/10.08	                                                                  dB,
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  type,bool)),
9.86/10.08	                                                                  aa(
9.86/10.08	                                                                  dB,
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  type,bool)),
9.86/10.08	                                                                  app_encode_app(
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  nat,type),
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  dB,
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  type,bool)),
9.86/10.08	                                                                  typing,Eb)),
9.86/10.08	                                                                  Ub)),
9.86/10.08	                                    Ta1)) =>
9.86/10.08	      (app_encode_app(bool,$o,pp,
9.86/10.08	                      app_encode_app(list(type),bool,
9.86/10.08	                                     app_encode_app(fun(list(type),bool),
9.86/10.08	                                                    app_encode_fun(list(type),
9.86/10.08	                                                                   bool),
9.86/10.08	                                                    aa(list(type),bool),
9.86/10.08	                                                    app_encode_app(list(dB),
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   list(type),
9.86/10.08	                                                                   bool),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,type),
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   list(dB),
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   list(type),
9.86/10.08	                                                                   bool)),
9.86/10.08	                                                                   typings,
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   type,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,type),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   nat,
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   type,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,type)),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,type),
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   nat,
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   type,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,type))),
9.86/10.08	                                                                   shift(
9.86/10.08	                                                                   type),Eb),
9.86/10.08	                                                                   Ib),Ta1)),
9.86/10.08	                                                                   Ts)),
9.86/10.08	                                     Tsa)) =>
9.86/10.08	       app_encode_app(bool,$o,pp,
9.86/10.08	                      app_encode_app(list(type),bool,
9.86/10.08	                                     app_encode_app(fun(list(type),bool),
9.86/10.08	                                                    app_encode_fun(list(type),
9.86/10.08	                                                                   bool),
9.86/10.08	                                                    aa(list(type),bool),
9.86/10.08	                                                    app_encode_app(list(dB),
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   list(type),
9.86/10.08	                                                                   bool),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,type),
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   list(dB),
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   list(type),
9.86/10.08	                                                                   bool)),
9.86/10.08	                                                                   typings,Eb),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   list(dB),
9.86/10.08	                                                                   list(dB),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   fun(dB,dB),
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   list(dB),
9.86/10.08	                                                                   list(dB)),
9.86/10.08	                                                                   map(dB,dB),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   nat,
9.86/10.08	                                                                   fun(dB,dB),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB)),
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   nat,
9.86/10.08	                                                                   fun(dB,dB)),
9.86/10.08	                                                                   combc(
9.86/10.08	                                                                   dB,nat,dB),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB)),
9.86/10.08	                                                                   app_encode_app(
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB))),
9.86/10.08	                                                                   app_encode_fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB))),
9.86/10.08	                                                                   combc(
9.86/10.08	                                                                   dB,dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB)),
9.86/10.08	                                                                   subst),Ub)),
9.86/10.08	                                                                   Ib)),Ts))),
9.86/10.08	                                     Tsa)))))).
9.86/10.08	tff('1', plain,
9.86/10.08	    ![X2 : fun(nat, type), X3 : nat, X4 : type, X5 : list(dB), 
9.86/10.08	      X6 : list(type), X7 : dB]:
9.86/10.08	      (~ app_encode_app(bool, $o, pp, 
9.86/10.08	           app_encode_app(list(type), bool, 
9.86/10.08	             app_encode_app(fun(list(type), bool), 
9.86/10.08	               app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	               app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	                 app_encode_app(fun(nat, type), 
9.86/10.08	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
9.86/10.08	                   app_encode_app(type, fun(nat, type), 
9.86/10.08	                     app_encode_app(nat, 
9.86/10.08	                       app_encode_fun(type, fun(nat, type)), 
9.86/10.08	                       app_encode_app(fun(nat, type), 
9.86/10.08	                         app_encode_fun(nat, 
9.86/10.08	                           app_encode_fun(type, fun(nat, type))), 
9.86/10.08	                         shift(type), X2), X3), X4)), X5)), X6))
9.86/10.08	       | app_encode_app(bool, $o, pp, 
9.86/10.08	           app_encode_app(list(type), bool, 
9.86/10.08	             app_encode_app(fun(list(type), bool), 
9.86/10.08	               app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	               app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	                 app_encode_app(fun(nat, type), 
9.86/10.08	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
9.86/10.08	                   X2), 
9.86/10.08	                 app_encode_app(list(dB), list(dB), 
9.86/10.08	                   app_encode_app(fun(dB, dB), 
9.86/10.08	                     app_encode_fun(list(dB), list(dB)), map(dB, dB), 
9.86/10.08	                     app_encode_app(nat, fun(dB, dB), 
9.86/10.08	                       app_encode_app(fun(dB, fun(nat, dB)), 
9.86/10.08	                         app_encode_fun(nat, fun(dB, dB)), 
9.86/10.08	                         combc(dB, nat, dB), 
9.86/10.08	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
9.86/10.08	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                             combc(dB, dB, fun(nat, dB)), subst), X7)), X3)), 
9.86/10.08	                   X5))), X6))
9.86/10.08	       | ~ app_encode_app(bool, $o, pp, 
9.86/10.08	             app_encode_app(type, bool, 
9.86/10.08	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
9.86/10.08	                 aa(type, bool), 
9.86/10.08	                 app_encode_app(dB, fun(type, bool), 
9.86/10.08	                   app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_fun(dB, fun(type, bool)), 
9.86/10.08	                     aa(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_app(fun(nat, type), 
9.86/10.08	                       fun(dB, fun(type, bool)), typing, X2)), X7)), X4))),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_65])).
9.86/10.08	tff('2', plain,
9.86/10.08	    ![X0 : dB]:
9.86/10.08	      (~ $true
9.86/10.08	       | ~ app_encode_app(bool, $o, pp, 
9.86/10.08	             app_encode_app(type, bool, 
9.86/10.08	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
9.86/10.08	                 aa(type, bool), 
9.86/10.08	                 app_encode_app(dB, fun(type, bool), 
9.86/10.08	                   app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_fun(dB, fun(type, bool)), 
9.86/10.08	                     aa(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_app(fun(nat, type), 
9.86/10.08	                       fun(dB, fun(type, bool)), typing, e)), X0)), t))
9.86/10.08	       | app_encode_app(bool, $o, pp, 
9.86/10.08	           app_encode_app(list(type), bool, 
9.86/10.08	             app_encode_app(fun(list(type), bool), 
9.86/10.08	               app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	               app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	                 app_encode_app(fun(nat, type), 
9.86/10.08	                   app_encode_fun(list(dB), fun(list(type), bool)), typings, 
9.86/10.08	                   e), 
9.86/10.08	                 app_encode_app(list(dB), list(dB), 
9.86/10.08	                   app_encode_app(fun(dB, dB), 
9.86/10.08	                     app_encode_fun(list(dB), list(dB)), map(dB, dB), 
9.86/10.08	                     app_encode_app(nat, fun(dB, dB), 
9.86/10.08	                       app_encode_app(fun(dB, fun(nat, dB)), 
9.86/10.08	                         app_encode_fun(nat, fun(dB, dB)), 
9.86/10.08	                         combc(dB, nat, dB), 
9.86/10.08	                         app_encode_app(dB, fun(dB, fun(nat, dB)), 
9.86/10.08	                           app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                             app_encode_fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                             combc(dB, dB, fun(nat, dB)), subst), X0)), i)), 
9.86/10.08	                   as))), ts))),
9.86/10.08	    inference('sup-', [status(thm)], ['0', '1'])).
9.86/10.08	tff('3', plain,
9.86/10.08	    ![X0 : dB]:
9.86/10.08	      (app_encode_app(bool, $o, pp, 
9.86/10.08	         app_encode_app(list(type), bool, 
9.86/10.08	           app_encode_app(fun(list(type), bool), 
9.86/10.08	             app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	             app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	               app_encode_app(fun(nat, type), 
9.86/10.08	                 app_encode_fun(list(dB), fun(list(type), bool)), typings, e), 
9.86/10.08	               app_encode_app(list(dB), list(dB), 
9.86/10.08	                 app_encode_app(fun(dB, dB), 
9.86/10.08	                   app_encode_fun(list(dB), list(dB)), map(dB, dB), 
9.86/10.08	                   app_encode_app(nat, fun(dB, dB), 
9.86/10.08	                     app_encode_app(fun(dB, fun(nat, dB)), 
9.86/10.08	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
9.86/10.08	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
9.86/10.08	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                           combc(dB, dB, fun(nat, dB)), subst), X0)), i)), 
9.86/10.08	                 as))), ts))
9.86/10.08	       | ~ app_encode_app(bool, $o, pp, 
9.86/10.08	             app_encode_app(type, bool, 
9.86/10.08	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
9.86/10.08	                 aa(type, bool), 
9.86/10.08	                 app_encode_app(dB, fun(type, bool), 
9.86/10.08	                   app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_fun(dB, fun(type, bool)), 
9.86/10.08	                     aa(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_app(fun(nat, type), 
9.86/10.08	                       fun(dB, fun(type, bool)), typing, e)), X0)), t))),
9.86/10.08	    inference('simplify', [status(thm)], ['2'])).
9.86/10.08	tff(zf_stmt_163, axiom,
9.86/10.08	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
9.86/10.08	     (app_encode_app(A,C,
9.86/10.08	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
9.86/10.08	                                    app_encode_app(B,fun(A,C),
9.86/10.08	                                                   app_encode_app(fun(
9.86/10.08	                                                                  A,fun(B,C)),
9.86/10.08	                                                                  app_encode_fun(
9.86/10.08	                                                                  B,fun(A,C)),
9.86/10.08	                                                                  combc(
9.86/10.08	                                                                  A,B,C),P),
9.86/10.08	                                                   Q)),
9.86/10.08	                     R) =
9.86/10.08	      app_encode_app(B,C,
9.86/10.08	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
9.86/10.08	                                    app_encode_app(A,fun(B,C),
9.86/10.08	                                                   app_encode_app(fun(
9.86/10.08	                                                                  A,fun(B,C)),
9.86/10.08	                                                                  app_encode_fun(
9.86/10.08	                                                                  A,fun(B,C)),
9.86/10.08	                                                                  aa(
9.86/10.08	                                                                  A,fun(B,C)),
9.86/10.08	                                                                  P),
9.86/10.08	                                                   R)),
9.86/10.08	                     Q)))).
9.86/10.08	tff('4', plain,
9.86/10.08	    ![X313 : $tType, X314 : $tType, X315 : $tType, 
9.86/10.08	      X316 : fun(X315, fun(X313, X314)), X317 : X315, X318 : X313]:
9.86/10.08	      app_encode_app(X315, X314, 
9.86/10.08	        app_encode_app(fun(X315, X314), app_encode_fun(X315, X314), 
9.86/10.08	          aa(X315, X314), 
9.86/10.08	          app_encode_app(X313, fun(X315, X314), 
9.86/10.08	            app_encode_app(fun(X315, fun(X313, X314)), 
9.86/10.08	              app_encode_fun(X313, fun(X315, X314)), 
9.86/10.08	              combc(X315, X313, X314), X316), X318)), X317)
9.86/10.08	       = app_encode_app(X313, X314, 
9.86/10.08	           app_encode_app(fun(X313, X314), app_encode_fun(X313, X314), 
9.86/10.08	             aa(X313, X314), 
9.86/10.08	             app_encode_app(X315, fun(X313, X314), 
9.86/10.08	               app_encode_app(fun(X315, fun(X313, X314)), 
9.86/10.08	                 app_encode_fun(X315, fun(X313, X314)), 
9.86/10.08	                 aa(X315, fun(X313, X314)), X316), X317)), X318),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_163])).
9.86/10.08	tff('5', plain,
9.86/10.08	    ![X0 : dB]:
9.86/10.08	      (app_encode_app(bool, $o, pp, 
9.86/10.08	         app_encode_app(list(type), bool, 
9.86/10.08	           app_encode_app(fun(list(type), bool), 
9.86/10.08	             app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	             app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	               app_encode_app(fun(nat, type), 
9.86/10.08	                 app_encode_fun(list(dB), fun(list(type), bool)), typings, e), 
9.86/10.08	               app_encode_app(list(dB), list(dB), 
9.86/10.08	                 app_encode_app(fun(dB, dB), 
9.86/10.08	                   app_encode_fun(list(dB), list(dB)), map(dB, dB), 
9.86/10.08	                   app_encode_app(nat, fun(dB, dB), 
9.86/10.08	                     app_encode_app(fun(dB, fun(nat, dB)), 
9.86/10.08	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
9.86/10.08	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
9.86/10.08	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                           combc(dB, dB, fun(nat, dB)), subst), X0)), i)), 
9.86/10.08	                 as))), ts))
9.86/10.08	       | ~ app_encode_app(bool, $o, pp, 
9.86/10.08	             app_encode_app(dB, bool, 
9.86/10.08	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
9.86/10.08	                 aa(dB, bool), 
9.86/10.08	                 app_encode_app(type, fun(dB, bool), 
9.86/10.08	                   app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	                     app_encode_fun(type, fun(dB, bool)), 
9.86/10.08	                     combc(dB, type, bool), 
9.86/10.08	                     app_encode_app(fun(nat, type), 
9.86/10.08	                       fun(dB, fun(type, bool)), typing, e)), t)), X0))),
9.86/10.08	    inference('demod', [status(thm)], ['3', '4'])).
9.86/10.08	tff(zf_stmt_173, conjecture,
9.86/10.08	  (app_encode_app(bool,$o,pp,
9.86/10.08	                  app_encode_app(list(type),bool,
9.86/10.08	                                 app_encode_app(fun(list(type),bool),
9.86/10.08	                                                app_encode_fun(list(type),
9.86/10.08	                                                               bool),
9.86/10.08	                                                aa(list(type),bool),
9.86/10.08	                                                app_encode_app(list(dB),
9.86/10.08	                                                               fun(list(type),
9.86/10.08	                                                                   bool),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(nat,type),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               list(dB),
9.86/10.08	                                                               fun(list(type),
9.86/10.08	                                                                   bool)),
9.86/10.08	                                                               typings,e),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               list(dB),
9.86/10.08	                                                               list(dB),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(dB,dB),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               list(dB),
9.86/10.08	                                                               list(dB)),
9.86/10.08	                                                               map(dB,dB),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               nat,
9.86/10.08	                                                               fun(dB,dB),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB)),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               nat,fun(dB,dB)),
9.86/10.08	                                                               combc(
9.86/10.08	                                                               dB,nat,dB),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               dB,
9.86/10.08	                                                               fun(dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB)),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB))),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               dB,
9.86/10.08	                                                               fun(dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   nat,dB))),
9.86/10.08	                                                               combc(
9.86/10.08	                                                               dB,dB,
9.86/10.08	                                                               fun(nat,dB)),
9.86/10.08	                                                               subst),u)),i)),
9.86/10.08	                                                               as))),
9.86/10.08	                                 ts)))).
9.86/10.08	tff(zf_stmt_0, negated_conjecture,
9.86/10.08	  (~
9.86/10.08	    app_encode_app(bool,$o,pp,
9.86/10.08	                   app_encode_app(list(type),bool,
9.86/10.08	                                  app_encode_app(fun(list(type),bool),
9.86/10.08	                                                 app_encode_fun(list(type),
9.86/10.08	                                                                bool),
9.86/10.08	                                                 aa(list(type),bool),
9.86/10.08	                                                 app_encode_app(list(dB),
9.86/10.08	                                                                fun(list(
9.86/10.08	                                                                    type),
9.86/10.08	                                                                    bool),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                fun(nat,type),
9.86/10.08	                                                                app_encode_fun(
9.86/10.08	                                                                list(dB),
9.86/10.08	                                                                fun(list(
9.86/10.08	                                                                    type),
9.86/10.08	                                                                    bool)),
9.86/10.08	                                                                typings,e),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                list(dB),
9.86/10.08	                                                                list(dB),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                fun(dB,dB),
9.86/10.08	                                                                app_encode_fun(
9.86/10.08	                                                                list(dB),
9.86/10.08	                                                                list(dB)),
9.86/10.08	                                                                map(dB,dB),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                nat,
9.86/10.08	                                                                fun(dB,dB),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                fun(dB,
9.86/10.08	                                                                    fun(
9.86/10.08	                                                                    nat,dB)),
9.86/10.08	                                                                app_encode_fun(
9.86/10.08	                                                                nat,
9.86/10.08	                                                                fun(dB,dB)),
9.86/10.08	                                                                combc(
9.86/10.08	                                                                dB,nat,dB),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                dB,
9.86/10.08	                                                                fun(dB,
9.86/10.08	                                                                    fun(
9.86/10.08	                                                                    nat,dB)),
9.86/10.08	                                                                app_encode_app(
9.86/10.08	                                                                fun(dB,
9.86/10.08	                                                                    fun(
9.86/10.08	                                                                    dB,
9.86/10.08	                                                                    fun(
9.86/10.08	                                                                    nat,dB))),
9.86/10.08	                                                                app_encode_fun(
9.86/10.08	                                                                dB,
9.86/10.08	                                                                fun(dB,
9.86/10.08	                                                                    fun(
9.86/10.08	                                                                    nat,dB))),
9.86/10.08	                                                                combc(
9.86/10.08	                                                                dB,dB,
9.86/10.08	                                                                fun(nat,dB)),
9.86/10.08	                                                                subst),u)),i)),
9.86/10.08	                                                                as))),
9.86/10.08	                                  ts)))).
9.86/10.08	tff('6', plain,
9.86/10.08	    ~ app_encode_app(bool, $o, pp, 
9.86/10.08	        app_encode_app(list(type), bool, 
9.86/10.08	          app_encode_app(fun(list(type), bool), 
9.86/10.08	            app_encode_fun(list(type), bool), aa(list(type), bool), 
9.86/10.08	            app_encode_app(list(dB), fun(list(type), bool), 
9.86/10.08	              app_encode_app(fun(nat, type), 
9.86/10.08	                app_encode_fun(list(dB), fun(list(type), bool)), typings, e), 
9.86/10.08	              app_encode_app(list(dB), list(dB), 
9.86/10.08	                app_encode_app(fun(dB, dB), 
9.86/10.08	                  app_encode_fun(list(dB), list(dB)), map(dB, dB), 
9.86/10.08	                  app_encode_app(nat, fun(dB, dB), 
9.86/10.08	                    app_encode_app(fun(dB, fun(nat, dB)), 
9.86/10.08	                      app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
9.86/10.08	                      app_encode_app(dB, fun(dB, fun(nat, dB)), 
9.86/10.08	                        app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                          app_encode_fun(dB, fun(dB, fun(nat, dB))), 
9.86/10.08	                          combc(dB, dB, fun(nat, dB)), subst), u)), i)), as))), 
9.86/10.08	          ts)),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.86/10.08	tff('7', plain,
9.86/10.08	    (~ $true
9.86/10.08	     | ~ app_encode_app(bool, $o, pp, 
9.86/10.08	           app_encode_app(dB, bool, 
9.86/10.08	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
9.86/10.08	               aa(dB, bool), 
9.86/10.08	               app_encode_app(type, fun(dB, bool), 
9.86/10.08	                 app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	                   app_encode_fun(type, fun(dB, bool)), 
9.86/10.08	                   combc(dB, type, bool), 
9.86/10.08	                   app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
9.86/10.08	                     typing, e)), t)), u))),
9.86/10.08	    inference('sup-', [status(thm)], ['5', '6'])).
9.86/10.08	tff(zf_stmt_59, axiom,
9.86/10.08	  (app_encode_app(bool,$o,pp,
9.86/10.08	                  app_encode_app(type,bool,
9.86/10.08	                                 app_encode_app(fun(type,bool),
9.86/10.08	                                                app_encode_fun(type,bool),
9.86/10.08	                                                aa(type,bool),
9.86/10.08	                                                app_encode_app(dB,
9.86/10.08	                                                               fun(type,bool),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   type,bool)),
9.86/10.08	                                                               app_encode_fun(
9.86/10.08	                                                               dB,
9.86/10.08	                                                               fun(type,bool)),
9.86/10.08	                                                               aa(dB,
9.86/10.08	                                                                  fun(
9.86/10.08	                                                                  type,bool)),
9.86/10.08	                                                               app_encode_app(
9.86/10.08	                                                               fun(nat,type),
9.86/10.08	                                                               fun(dB,
9.86/10.08	                                                                   fun(
9.86/10.08	                                                                   type,bool)),
9.86/10.08	                                                               typing,e)),u)),
9.86/10.08	                                 t)))).
9.86/10.08	tff('8', plain,
9.86/10.08	    app_encode_app(bool, $o, pp, 
9.86/10.08	      app_encode_app(type, bool, 
9.86/10.08	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
9.86/10.08	          aa(type, bool), 
9.86/10.08	          app_encode_app(dB, fun(type, bool), 
9.86/10.08	            app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	              app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
9.86/10.08	              app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
9.86/10.08	                typing, e)), u)), t)),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_59])).
9.86/10.08	tff(zf_stmt_170, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
9.86/10.08	tff('9', plain, ![X333 : bool]: (X333 = fTrue | X333 = fFalse),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_170])).
9.86/10.08	tff(zf_stmt_159, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
9.86/10.08	tff('10', plain, ~ app_encode_app(bool, $o, pp, fFalse),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_159])).
9.86/10.08	tff('11', plain,
9.86/10.08	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
9.86/10.08	    inference('sup-', [status(thm)], ['9', '10'])).
9.86/10.08	tff('12', plain,
9.86/10.08	    (~ $true
9.86/10.08	     | app_encode_app(type, bool, 
9.86/10.08	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
9.86/10.08	           aa(type, bool), 
9.86/10.08	           app_encode_app(dB, fun(type, bool), 
9.86/10.08	             app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	               app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
9.86/10.08	               app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), 
9.86/10.08	                 typing, e)), u)), t)
9.86/10.08	        = fTrue),
9.86/10.08	    inference('sup-', [status(thm)], ['8', '11'])).
9.86/10.08	tff('13', plain,
9.86/10.08	    app_encode_app(type, bool, 
9.86/10.08	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
9.86/10.08	        aa(type, bool), 
9.86/10.08	        app_encode_app(dB, fun(type, bool), 
9.86/10.08	          app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	            app_encode_fun(dB, fun(type, bool)), aa(dB, fun(type, bool)), 
9.86/10.08	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
9.86/10.08	              e)), u)), t)
9.86/10.08	     = fTrue,
9.86/10.08	    inference('simplify', [status(thm)], ['12'])).
9.86/10.08	tff('14', plain,
9.86/10.08	    app_encode_app(dB, bool, 
9.86/10.08	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
9.86/10.08	        app_encode_app(type, fun(dB, bool), 
9.86/10.08	          app_encode_app(fun(dB, fun(type, bool)), 
9.86/10.08	            app_encode_fun(type, fun(dB, bool)), combc(dB, type, bool), 
9.86/10.08	            app_encode_app(fun(nat, type), fun(dB, fun(type, bool)), typing, 
9.86/10.08	              e)), t)), u)
9.86/10.08	     = fTrue,
9.86/10.08	    inference('demod', [status(thm)], ['13', '4'])).
9.86/10.08	tff(zf_stmt_160, axiom, (app_encode_app(bool,$o,pp,fTrue))).
9.86/10.08	tff('15', plain, app_encode_app(bool, $o, pp, fTrue),
9.86/10.08	    inference('cnf', [status(esa)], [zf_stmt_160])).
9.86/10.08	tff('16', plain, (~ $true | ~ $true),
9.86/10.08	    inference('demod', [status(thm)], ['7', '14', '15'])).
9.86/10.08	tff('17', plain, $false, inference('simplify', [status(thm)], ['16'])).
9.86/10.08	
9.86/10.08	% SZS output end Refutation
9.86/10.08	EOF
