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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n147.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:21:24 CST 2018
13.53/13.76	% done 1425 iterations in 13.555s
13.53/13.76	% SZS status Theorem for 'stdin'
13.53/13.76	% SZS output start Refutation
13.53/13.76	tff(zf_stmt_56, axiom,
13.53/13.76	  (app_encode_app(type,$o,
13.53/13.76	                  app_encode_app(dB,app_encode_fun(type,$o),
13.53/13.76	                                 app_encode_app(fun(nat,type),
13.53/13.76	                                                app_encode_fun(dB,
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               type,$o)),
13.53/13.76	                                                typing,
13.53/13.76	                                                app_encode_app(type,
13.53/13.76	                                                               fun(nat,type),
13.53/13.76	                                                               app_encode_app(
13.53/13.76	                                                               nat,
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               type,
13.53/13.76	                                                               fun(nat,type)),
13.53/13.76	                                                               app_encode_app(
13.53/13.76	                                                               fun(nat,type),
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               nat,
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               type,
13.53/13.76	                                                               fun(nat,type))),
13.53/13.76	                                                               shift(type),e),
13.53/13.76	                                                               i),t1)),
13.53/13.76	                                 a),
13.53/13.76	                  t2))).
13.53/13.76	tff('0', plain,
13.53/13.76	    app_encode_app(type, $o, 
13.53/13.76	      app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	        app_encode_app(fun(nat, type), 
13.53/13.76	          app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
13.53/13.76	          app_encode_app(type, fun(nat, type), 
13.53/13.76	            app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.53/13.76	              app_encode_app(fun(nat, type), 
13.53/13.76	                app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
13.53/13.76	                shift(type), e), i), t1)), a), t2),
13.53/13.76	    inference('cnf', [status(esa)], [zf_stmt_56])).
13.53/13.76	tff(zf_stmt_63, axiom,
13.53/13.76	  (![Ub1:dB,T_b:type,Ib:nat,Eb:fun(nat,type)]:
13.53/13.76	     (app_encode_app(type,$o,
13.53/13.76	                     app_encode_app(dB,app_encode_fun(type,$o),
13.53/13.76	                                    app_encode_app(fun(nat,type),
13.53/13.76	                                                   app_encode_fun(dB,
13.53/13.76	                                                                  app_encode_fun(
13.53/13.76	                                                                  type,$o)),
13.53/13.76	                                                   typing,
13.53/13.76	                                                   app_encode_app(type,
13.53/13.76	                                                                  fun(
13.53/13.76	                                                                  nat,type),
13.53/13.76	                                                                  app_encode_app(
13.53/13.76	                                                                  nat,
13.53/13.76	                                                                  app_encode_fun(
13.53/13.76	                                                                  type,
13.53/13.76	                                                                  fun(
13.53/13.76	                                                                  nat,type)),
13.53/13.76	                                                                  app_encode_app(
13.53/13.76	                                                                  fun(
13.53/13.76	                                                                  nat,type),
13.53/13.76	                                                                  app_encode_fun(
13.53/13.76	                                                                  nat,
13.53/13.76	                                                                  app_encode_fun(
13.53/13.76	                                                                  type,
13.53/13.76	                                                                  fun(
13.53/13.76	                                                                  nat,type))),
13.53/13.76	                                                                  shift(type),
13.53/13.76	                                                                  Eb),Ib),t1)),
13.53/13.76	                                    a),
13.53/13.76	                     T_b) =>
13.53/13.76	      (app_encode_app(bool,$o,pp,
13.53/13.76	                      app_encode_app(dB,bool,
13.53/13.76	                                     app_encode_app(fun(dB,bool),
13.53/13.76	                                                    app_encode_fun(dB,bool),
13.53/13.76	                                                    aa(dB,bool),it),
13.53/13.76	                                     Ub1)) =>
13.53/13.76	       (app_encode_app(type,$o,
13.53/13.76	                       app_encode_app(dB,app_encode_fun(type,$o),
13.53/13.76	                                      app_encode_app(fun(nat,type),
13.53/13.76	                                                     app_encode_fun(dB,
13.53/13.76	                                                                    app_encode_fun(
13.53/13.76	                                                                    type,$o)),
13.53/13.76	                                                     typing,Eb),
13.53/13.76	                                      Ub1),
13.53/13.76	                       t1) =>
13.53/13.76	        app_encode_app(bool,$o,pp,
13.53/13.76	                       app_encode_app(dB,bool,
13.53/13.76	                                      app_encode_app(fun(dB,bool),
13.53/13.76	                                                     app_encode_fun(dB,bool),
13.53/13.76	                                                     aa(dB,bool),it),
13.53/13.76	                                      app_encode_app(nat,dB,
13.53/13.76	                                                     app_encode_app(fun(
13.53/13.76	                                                                    nat,dB),
13.53/13.76	                                                                    app_encode_fun(
13.53/13.76	                                                                    nat,dB),
13.53/13.76	                                                                    aa(
13.53/13.76	                                                                    nat,dB),
13.53/13.76	                                                                    app_encode_app(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB),
13.53/13.76	                                                                    app_encode_app(
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB)),
13.53/13.76	                                                                    app_encode_fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB)),
13.53/13.76	                                                                    aa(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB)),
13.53/13.76	                                                                    app_encode_app(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB)),
13.53/13.76	                                                                    app_encode_app(
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB))),
13.53/13.76	                                                                    app_encode_fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB))),
13.53/13.76	                                                                    aa(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB))),
13.53/13.76	                                                                    subst),a)),
13.53/13.76	                                                                    Ub1)),
13.53/13.76	                                                     Ib)))))))).
13.53/13.76	tff('1', plain,
13.53/13.76	    ![X19 : dB, X20 : nat, X21 : fun(nat, type), X22 : type]:
13.53/13.76	      (~ app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), X19))
13.53/13.76	       | app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), 
13.53/13.76	             app_encode_app(nat, dB, 
13.53/13.76	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
13.53/13.76	                 aa(nat, dB), 
13.53/13.76	                 app_encode_app(dB, fun(nat, dB), 
13.53/13.76	                   app_encode_app(fun(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
13.53/13.76	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), X19)), 
13.53/13.76	               X20)))
13.53/13.76	       | ~ app_encode_app(type, $o, 
13.53/13.76	             app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	               app_encode_app(fun(nat, type), 
13.53/13.76	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, 
13.53/13.76	                 app_encode_app(type, fun(nat, type), 
13.53/13.76	                   app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
13.53/13.76	                     app_encode_app(fun(nat, type), 
13.53/13.76	                       app_encode_fun(nat, 
13.53/13.76	                         app_encode_fun(type, fun(nat, type))), shift(type), 
13.53/13.76	                       X21), X20), t1)), a), X22)
13.53/13.76	       | ~ app_encode_app(type, $o, 
13.53/13.76	             app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	               app_encode_app(fun(nat, type), 
13.53/13.76	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, X21), 
13.53/13.76	               X19), t1)),
13.53/13.76	    inference('cnf', [status(esa)], [zf_stmt_63])).
13.53/13.76	tff('2', plain,
13.53/13.76	    ![X0 : dB]:
13.53/13.76	      (~ $true
13.53/13.76	       | ~ app_encode_app(type, $o, 
13.53/13.76	             app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	               app_encode_app(fun(nat, type), 
13.53/13.76	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, e), 
13.53/13.76	               X0), t1)
13.53/13.76	       | app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), 
13.53/13.76	             app_encode_app(nat, dB, 
13.53/13.76	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
13.53/13.76	                 aa(nat, dB), 
13.53/13.76	                 app_encode_app(dB, fun(nat, dB), 
13.53/13.76	                   app_encode_app(fun(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
13.53/13.76	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), X0)), i)))
13.53/13.76	       | ~ app_encode_app(bool, $o, pp, 
13.53/13.76	             app_encode_app(dB, bool, 
13.53/13.76	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	                 aa(dB, bool), it), X0))),
13.53/13.76	    inference('sup-', [status(thm)], ['0', '1'])).
13.53/13.76	tff('3', plain,
13.53/13.76	    ![X0 : dB]:
13.53/13.76	      (~ app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), X0))
13.53/13.76	       | app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), 
13.53/13.76	             app_encode_app(nat, dB, 
13.53/13.76	               app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
13.53/13.76	                 aa(nat, dB), 
13.53/13.76	                 app_encode_app(dB, fun(nat, dB), 
13.53/13.76	                   app_encode_app(fun(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
13.53/13.76	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         aa(dB, fun(dB, fun(nat, dB))), subst), a)), X0)), i)))
13.53/13.76	       | ~ app_encode_app(type, $o, 
13.53/13.76	             app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	               app_encode_app(fun(nat, type), 
13.53/13.76	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, e), 
13.53/13.76	               X0), t1)),
13.53/13.76	    inference('simplify', [status(thm)], ['2'])).
13.53/13.76	tff(zf_stmt_153, axiom,
13.53/13.76	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
13.53/13.76	     (app_encode_app(A,C,
13.53/13.76	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
13.53/13.76	                                    app_encode_app(B,fun(A,C),
13.53/13.76	                                                   app_encode_app(fun(
13.53/13.76	                                                                  A,fun(B,C)),
13.53/13.76	                                                                  app_encode_fun(
13.53/13.76	                                                                  B,fun(A,C)),
13.53/13.76	                                                                  combc(
13.53/13.76	                                                                  A,B,C),P),
13.53/13.76	                                                   Q)),
13.53/13.76	                     R) =
13.53/13.76	      app_encode_app(B,C,
13.53/13.76	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
13.53/13.76	                                    app_encode_app(A,fun(B,C),
13.53/13.76	                                                   app_encode_app(fun(
13.53/13.76	                                                                  A,fun(B,C)),
13.53/13.76	                                                                  app_encode_fun(
13.53/13.76	                                                                  A,fun(B,C)),
13.53/13.76	                                                                  aa(
13.53/13.76	                                                                  A,fun(B,C)),
13.53/13.76	                                                                  P),
13.53/13.76	                                                   R)),
13.53/13.76	                     Q)))).
13.53/13.76	tff('4', plain,
13.53/13.76	    ![X284 : $tType, X285 : $tType, X286 : $tType, 
13.53/13.76	      X287 : fun(X286, fun(X284, X285)), X288 : X286, X289 : X284]:
13.53/13.76	      app_encode_app(X286, X285, 
13.53/13.76	        app_encode_app(fun(X286, X285), app_encode_fun(X286, X285), 
13.53/13.76	          aa(X286, X285), 
13.53/13.76	          app_encode_app(X284, fun(X286, X285), 
13.53/13.76	            app_encode_app(fun(X286, fun(X284, X285)), 
13.53/13.76	              app_encode_fun(X284, fun(X286, X285)), 
13.53/13.76	              combc(X286, X284, X285), X287), X289)), X288)
13.53/13.76	       = app_encode_app(X284, X285, 
13.53/13.76	           app_encode_app(fun(X284, X285), app_encode_fun(X284, X285), 
13.53/13.76	             aa(X284, X285), 
13.53/13.76	             app_encode_app(X286, fun(X284, X285), 
13.53/13.76	               app_encode_app(fun(X286, fun(X284, X285)), 
13.53/13.76	                 app_encode_fun(X286, fun(X284, X285)), 
13.53/13.76	                 aa(X286, fun(X284, X285)), X287), X288)), X289),
13.53/13.76	    inference('cnf', [status(esa)], [zf_stmt_153])).
13.53/13.76	tff('5', plain,
13.53/13.76	    ![X0 : dB]:
13.53/13.76	      (~ app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), X0))
13.53/13.76	       | app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), 
13.53/13.76	             app_encode_app(dB, dB, 
13.53/13.76	               app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
13.53/13.76	                 aa(dB, dB), 
13.53/13.76	                 app_encode_app(nat, fun(dB, dB), 
13.53/13.76	                   app_encode_app(fun(dB, fun(nat, dB)), 
13.53/13.76	                     app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
13.53/13.76	                     app_encode_app(dB, fun(dB, fun(nat, dB)), 
13.53/13.76	                       app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         app_encode_fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                         combc(dB, dB, fun(nat, dB)), subst), X0)), i)), a)))
13.53/13.76	       | ~ app_encode_app(type, $o, 
13.53/13.76	             app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	               app_encode_app(fun(nat, type), 
13.53/13.76	                 app_encode_fun(dB, app_encode_fun(type, $o)), typing, e), 
13.53/13.76	               X0), t1)),
13.53/13.76	    inference('demod', [status(thm)], ['3', '4', '4'])).
13.53/13.76	tff(zf_stmt_159, conjecture,
13.53/13.76	  (app_encode_app(bool,$o,pp,
13.53/13.76	                  app_encode_app(dB,bool,
13.53/13.76	                                 app_encode_app(fun(dB,bool),
13.53/13.76	                                                app_encode_fun(dB,bool),
13.53/13.76	                                                aa(dB,bool),it),
13.53/13.76	                                 app_encode_app(nat,dB,
13.53/13.76	                                                app_encode_app(fun(nat,dB),
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               nat,dB),
13.53/13.76	                                                               aa(nat,dB),
13.53/13.76	                                                               app_encode_app(
13.53/13.76	                                                               dB,
13.53/13.76	                                                               fun(nat,dB),
13.53/13.76	                                                               app_encode_app(
13.53/13.76	                                                               fun(dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   nat,dB)),
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               dB,fun(nat,dB)),
13.53/13.76	                                                               aa(dB,
13.53/13.76	                                                                  fun(nat,dB)),
13.53/13.76	                                                               app_encode_app(
13.53/13.76	                                                               dB,
13.53/13.76	                                                               fun(dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   nat,dB)),
13.53/13.76	                                                               app_encode_app(
13.53/13.76	                                                               fun(dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   nat,dB))),
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               dB,
13.53/13.76	                                                               fun(dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   nat,dB))),
13.53/13.76	                                                               aa(dB,
13.53/13.76	                                                                  fun(
13.53/13.76	                                                                  dB,
13.53/13.76	                                                                  fun(nat,dB))),
13.53/13.76	                                                               subst),a)),u)),
13.53/13.76	                                                i))))).
13.53/13.76	tff(zf_stmt_0, negated_conjecture,
13.53/13.76	  (~
13.53/13.76	    app_encode_app(bool,$o,pp,
13.53/13.76	                   app_encode_app(dB,bool,
13.53/13.76	                                  app_encode_app(fun(dB,bool),
13.53/13.76	                                                 app_encode_fun(dB,bool),
13.53/13.76	                                                 aa(dB,bool),it),
13.53/13.76	                                  app_encode_app(nat,dB,
13.53/13.76	                                                 app_encode_app(fun(nat,dB),
13.53/13.76	                                                                app_encode_fun(
13.53/13.76	                                                                nat,dB),
13.53/13.76	                                                                aa(nat,dB),
13.53/13.76	                                                                app_encode_app(
13.53/13.76	                                                                dB,
13.53/13.76	                                                                fun(nat,dB),
13.53/13.76	                                                                app_encode_app(
13.53/13.76	                                                                fun(dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB)),
13.53/13.76	                                                                app_encode_fun(
13.53/13.76	                                                                dB,
13.53/13.76	                                                                fun(nat,dB)),
13.53/13.76	                                                                aa(dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   nat,dB)),
13.53/13.76	                                                                app_encode_app(
13.53/13.76	                                                                dB,
13.53/13.76	                                                                fun(dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB)),
13.53/13.76	                                                                app_encode_app(
13.53/13.76	                                                                fun(dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB))),
13.53/13.76	                                                                app_encode_fun(
13.53/13.76	                                                                dB,
13.53/13.76	                                                                fun(dB,
13.53/13.76	                                                                    fun(
13.53/13.76	                                                                    nat,dB))),
13.53/13.76	                                                                aa(dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   dB,
13.53/13.76	                                                                   fun(
13.53/13.76	                                                                   nat,dB))),
13.53/13.76	                                                                subst),a)),u)),
13.53/13.76	                                                 i))))).
13.53/13.76	tff('6', plain,
13.53/13.76	    ~ app_encode_app(bool, $o, pp, 
13.53/13.76	        app_encode_app(dB, bool, 
13.53/13.76	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	            aa(dB, bool), it), 
13.53/13.76	          app_encode_app(nat, dB, 
13.53/13.76	            app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
13.53/13.76	              aa(nat, dB), 
13.53/13.76	              app_encode_app(dB, fun(nat, dB), 
13.53/13.76	                app_encode_app(fun(dB, fun(nat, dB)), 
13.53/13.76	                  app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
13.53/13.76	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
13.53/13.76	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                      aa(dB, fun(dB, fun(nat, dB))), subst), a)), u)), i))),
13.53/13.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
13.53/13.76	tff('7', plain,
13.53/13.76	    ~ app_encode_app(bool, $o, pp, 
13.53/13.76	        app_encode_app(dB, bool, 
13.53/13.76	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	            aa(dB, bool), it), 
13.53/13.76	          app_encode_app(dB, dB, 
13.53/13.76	            app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
13.53/13.76	              app_encode_app(nat, fun(dB, dB), 
13.53/13.76	                app_encode_app(fun(dB, fun(nat, dB)), 
13.53/13.76	                  app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
13.53/13.76	                  app_encode_app(dB, fun(dB, fun(nat, dB)), 
13.53/13.76	                    app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                      app_encode_fun(dB, fun(dB, fun(nat, dB))), 
13.53/13.76	                      combc(dB, dB, fun(nat, dB)), subst), u)), i)), a))),
13.53/13.76	    inference('demod', [status(thm)], ['6', '4', '4'])).
13.53/13.76	tff('8', plain,
13.53/13.76	    (~ $true
13.53/13.76	     | ~ app_encode_app(type, $o, 
13.53/13.76	           app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	             app_encode_app(fun(nat, type), 
13.53/13.76	               app_encode_fun(dB, app_encode_fun(type, $o)), typing, e), u), 
13.53/13.76	           t1)
13.53/13.76	     | ~ app_encode_app(bool, $o, pp, 
13.53/13.76	           app_encode_app(dB, bool, 
13.53/13.76	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	               aa(dB, bool), it), u))),
13.53/13.76	    inference('sup-', [status(thm)], ['5', '7'])).
13.53/13.76	tff(zf_stmt_54, axiom,
13.53/13.76	  (app_encode_app(type,$o,
13.53/13.76	                  app_encode_app(dB,app_encode_fun(type,$o),
13.53/13.76	                                 app_encode_app(fun(nat,type),
13.53/13.76	                                                app_encode_fun(dB,
13.53/13.76	                                                               app_encode_fun(
13.53/13.76	                                                               type,$o)),
13.53/13.76	                                                typing,e),
13.53/13.76	                                 u),
13.53/13.76	                  t1))).
13.53/13.76	tff('9', plain,
13.53/13.76	    app_encode_app(type, $o, 
13.53/13.76	      app_encode_app(dB, app_encode_fun(type, $o), 
13.53/13.76	        app_encode_app(fun(nat, type), 
13.53/13.76	          app_encode_fun(dB, app_encode_fun(type, $o)), typing, e), u), t1),
13.53/13.76	    inference('cnf', [status(esa)], [zf_stmt_54])).
13.53/13.76	tff(zf_stmt_53, axiom,
13.53/13.76	  (app_encode_app(bool,$o,pp,
13.53/13.76	                  app_encode_app(dB,bool,
13.53/13.76	                                 app_encode_app(fun(dB,bool),
13.53/13.76	                                                app_encode_fun(dB,bool),
13.53/13.76	                                                aa(dB,bool),it),
13.53/13.76	                                 u)))).
13.53/13.76	tff('10', plain,
13.53/13.76	    app_encode_app(bool, $o, pp, 
13.53/13.76	      app_encode_app(dB, bool, 
13.53/13.76	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
13.53/13.76	          aa(dB, bool), it), u)),
13.53/13.76	    inference('cnf', [status(esa)], [zf_stmt_53])).
13.53/13.76	tff('11', plain, (~ $true | ~ $true | ~ $true),
13.53/13.76	    inference('demod', [status(thm)], ['8', '9', '10'])).
13.53/13.76	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
13.53/13.76	
13.53/13.76	% SZS output end Refutation
13.53/13.76	EOF
