0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n183.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:05:39 CST 2018
86.66/86.82	% done 3020 iterations in 86.618s
86.66/86.82	% SZS status Theorem for 'stdin'
86.66/86.82	% SZS output start Refutation
86.66/86.82	tff(zf_stmt_59, axiom,
86.66/86.82	  (app_encode_app(bool,$o,pp,
86.66/86.82	                  app_encode_app(type,bool,
86.66/86.82	                                 app_encode_app(fun(type,bool),
86.66/86.82	                                                app_encode_fun(type,bool),
86.66/86.82	                                                aa(type,bool),
86.66/86.82	                                                app_encode_app(dB,
86.66/86.82	                                                               fun(type,bool),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               fun(nat,type),
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               dB,
86.66/86.82	                                                               fun(type,bool)),
86.66/86.82	                                                               typing,
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               type,
86.66/86.82	                                                               fun(nat,type),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               nat,
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               type,
86.66/86.82	                                                               fun(nat,type)),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               fun(nat,type),
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               nat,
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               type,
86.66/86.82	                                                               fun(nat,type))),
86.66/86.82	                                                               shift(type),e),
86.66/86.82	                                                               i),t1)),a)),
86.66/86.82	                                 t)))).
86.66/86.82	tff('0', plain,
86.66/86.82	    app_encode_app(bool, $o, pp, 
86.66/86.82	      app_encode_app(type, bool, 
86.66/86.82	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	          aa(type, bool), 
86.66/86.82	          app_encode_app(dB, fun(type, bool), 
86.66/86.82	            app_encode_app(fun(nat, type), 
86.66/86.82	              app_encode_fun(dB, fun(type, bool)), typing, 
86.66/86.82	              app_encode_app(type, fun(nat, type), 
86.66/86.82	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
86.66/86.82	                  app_encode_app(fun(nat, type), 
86.66/86.82	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
86.66/86.82	                    shift(type), e), i), t1)), a)), t)),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_59])).
86.66/86.82	tff(zf_stmt_63, axiom,
86.66/86.82	  (![Ib:nat,Ua:type,Ub:dB,E:fun(nat,type),Ta1:type,Ta:dB,Eb:fun(nat,type)]:
86.66/86.82	     (app_encode_app(bool,$o,pp,
86.66/86.82	                     app_encode_app(type,bool,
86.66/86.82	                                    app_encode_app(fun(type,bool),
86.66/86.82	                                                   app_encode_fun(type,bool),
86.66/86.82	                                                   aa(type,bool),
86.66/86.82	                                                   app_encode_app(dB,
86.66/86.82	                                                                  fun(
86.66/86.82	                                                                  type,bool),
86.66/86.82	                                                                  app_encode_app(
86.66/86.82	                                                                  fun(
86.66/86.82	                                                                  nat,type),
86.66/86.82	                                                                  app_encode_fun(
86.66/86.82	                                                                  dB,
86.66/86.82	                                                                  fun(
86.66/86.82	                                                                  type,bool)),
86.66/86.82	                                                                  typing,Eb),
86.66/86.82	                                                                  Ta)),
86.66/86.82	                                    Ta1)) =>
86.66/86.82	      (app_encode_app(bool,$o,pp,
86.66/86.82	                      app_encode_app(type,bool,
86.66/86.82	                                     app_encode_app(fun(type,bool),
86.66/86.82	                                                    app_encode_fun(type,bool),
86.66/86.82	                                                    aa(type,bool),
86.66/86.82	                                                    app_encode_app(dB,
86.66/86.82	                                                                   fun(
86.66/86.82	                                                                   type,bool),
86.66/86.82	                                                                   app_encode_app(
86.66/86.82	                                                                   fun(
86.66/86.82	                                                                   nat,type),
86.66/86.82	                                                                   app_encode_fun(
86.66/86.82	                                                                   dB,
86.66/86.82	                                                                   fun(
86.66/86.82	                                                                   type,bool)),
86.66/86.82	                                                                   typing,E),
86.66/86.82	                                                                   Ub)),
86.66/86.82	                                     Ua)) =>
86.66/86.82	       ((Eb =
86.66/86.82	         app_encode_app(type,fun(nat,type),
86.66/86.82	                        app_encode_app(nat,
86.66/86.82	                                       app_encode_fun(type,fun(nat,type)),
86.66/86.82	                                       app_encode_app(fun(nat,type),
86.66/86.82	                                                      app_encode_fun(
86.66/86.82	                                                      nat,
86.66/86.82	                                                      app_encode_fun(
86.66/86.82	                                                      type,fun(nat,type))),
86.66/86.82	                                                      shift(type),E),
86.66/86.82	                                       Ib),
86.66/86.82	                        Ua)) =>
86.66/86.82	        app_encode_app(bool,$o,pp,
86.66/86.82	                       app_encode_app(type,bool,
86.66/86.82	                                      app_encode_app(fun(type,bool),
86.66/86.82	                                                     app_encode_fun(type,bool),
86.66/86.82	                                                     aa(type,bool),
86.66/86.82	                                                     app_encode_app(dB,
86.66/86.82	                                                                    fun(
86.66/86.82	                                                                    type,bool),
86.66/86.82	                                                                    app_encode_app(
86.66/86.82	                                                                    fun(
86.66/86.82	                                                                    nat,type),
86.66/86.82	                                                                    app_encode_fun(
86.66/86.82	                                                                    dB,
86.66/86.82	                                                                    fun(
86.66/86.82	                                                                    type,bool)),
86.66/86.82	                                                                    typing,E),
86.66/86.82	                                                                    app_encode_app(
86.66/86.82	                                                                    nat,dB,
86.66/86.82	                                                                    app_encode_app(
86.66/86.82	                                                                    dB,
86.66/86.82	                                                                    app_encode_fun(
86.66/86.82	                                                                    nat,dB),
86.66/86.82	                                                                    app_encode_app(
86.66/86.82	                                                                    dB,
86.66/86.82	                                                                    app_encode_fun(
86.66/86.82	                                                                    dB,
86.66/86.82	                                                                    app_encode_fun(
86.66/86.82	                                                                    nat,dB)),
86.66/86.82	                                                                    subst,Ta),
86.66/86.82	                                                                    Ub),Ib))),
86.66/86.82	                                      Ta1))))))).
86.66/86.82	tff('1', plain,
86.66/86.82	    ![X4 : fun(nat, type), X5 : dB, X6 : type, X7 : dB, X8 : nat, X9 : type, 
86.66/86.82	      X10 : fun(nat, type)]:
86.66/86.82	      (~ app_encode_app(bool, $o, pp, 
86.66/86.82	           app_encode_app(type, bool, 
86.66/86.82	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	               aa(type, bool), 
86.66/86.82	               app_encode_app(dB, fun(type, bool), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(dB, fun(type, bool)), typing, X4), X5)), 
86.66/86.82	             X6))
86.66/86.82	       | app_encode_app(bool, $o, pp, 
86.66/86.82	           app_encode_app(type, bool, 
86.66/86.82	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	               aa(type, bool), 
86.66/86.82	               app_encode_app(dB, fun(type, bool), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(dB, fun(type, bool)), typing, X4), 
86.66/86.82	                 app_encode_app(nat, dB, 
86.66/86.82	                   app_encode_app(dB, app_encode_fun(nat, dB), 
86.66/86.82	                     app_encode_app(dB, 
86.66/86.82	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
86.66/86.82	                       X7), X5), X8))), X9))
86.66/86.82	       | ~ app_encode_app(bool, $o, pp, 
86.66/86.82	             app_encode_app(type, bool, 
86.66/86.82	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	                 aa(type, bool), 
86.66/86.82	                 app_encode_app(dB, fun(type, bool), 
86.66/86.82	                   app_encode_app(fun(nat, type), 
86.66/86.82	                     app_encode_fun(dB, fun(type, bool)), typing, X10), X7)), 
86.66/86.82	               X9))
86.66/86.82	       | X10
86.66/86.82	          != app_encode_app(type, fun(nat, type), 
86.66/86.82	               app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
86.66/86.82	                   shift(type), X4), X8), X6)),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_63])).
86.66/86.82	tff('2', plain,
86.66/86.82	    ![X4 : fun(nat, type), X5 : dB, X6 : type, X7 : dB, X8 : nat, X9 : type]:
86.66/86.82	      (~ app_encode_app(bool, $o, pp, 
86.66/86.82	           app_encode_app(type, bool, 
86.66/86.82	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	               aa(type, bool), 
86.66/86.82	               app_encode_app(dB, fun(type, bool), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(dB, fun(type, bool)), typing, 
86.66/86.82	                   app_encode_app(type, fun(nat, type), 
86.66/86.82	                     app_encode_app(nat, 
86.66/86.82	                       app_encode_fun(type, fun(nat, type)), 
86.66/86.82	                       app_encode_app(fun(nat, type), 
86.66/86.82	                         app_encode_fun(nat, 
86.66/86.82	                           app_encode_fun(type, fun(nat, type))), 
86.66/86.82	                         shift(type), X4), X8), X6)), X7)), X9))
86.66/86.82	       | app_encode_app(bool, $o, pp, 
86.66/86.82	           app_encode_app(type, bool, 
86.66/86.82	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	               aa(type, bool), 
86.66/86.82	               app_encode_app(dB, fun(type, bool), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(dB, fun(type, bool)), typing, X4), 
86.66/86.82	                 app_encode_app(nat, dB, 
86.66/86.82	                   app_encode_app(dB, app_encode_fun(nat, dB), 
86.66/86.82	                     app_encode_app(dB, 
86.66/86.82	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
86.66/86.82	                       X7), X5), X8))), X9))
86.66/86.82	       | ~ app_encode_app(bool, $o, pp, 
86.66/86.82	             app_encode_app(type, bool, 
86.66/86.82	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	                 aa(type, bool), 
86.66/86.82	                 app_encode_app(dB, fun(type, bool), 
86.66/86.82	                   app_encode_app(fun(nat, type), 
86.66/86.82	                     app_encode_fun(dB, fun(type, bool)), typing, X4), X5)), 
86.66/86.82	               X6))),
86.66/86.82	    inference('simplify', [status(thm)], ['1'])).
86.66/86.82	tff('3', plain,
86.66/86.82	    ![X0 : dB]:
86.66/86.82	      (~ $true
86.66/86.82	       | ~ app_encode_app(bool, $o, pp, 
86.66/86.82	             app_encode_app(type, bool, 
86.66/86.82	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	                 aa(type, bool), 
86.66/86.82	                 app_encode_app(dB, fun(type, bool), 
86.66/86.82	                   app_encode_app(fun(nat, type), 
86.66/86.82	                     app_encode_fun(dB, fun(type, bool)), typing, e), X0)), 
86.66/86.82	               t1))
86.66/86.82	       | app_encode_app(bool, $o, pp, 
86.66/86.82	           app_encode_app(type, bool, 
86.66/86.82	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	               aa(type, bool), 
86.66/86.82	               app_encode_app(dB, fun(type, bool), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(dB, fun(type, bool)), typing, e), 
86.66/86.82	                 app_encode_app(nat, dB, 
86.66/86.82	                   app_encode_app(dB, app_encode_fun(nat, dB), 
86.66/86.82	                     app_encode_app(dB, 
86.66/86.82	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
86.66/86.82	                     X0), i))), t))),
86.66/86.82	    inference('sup-', [status(thm)], ['0', '2'])).
86.66/86.82	tff('4', plain,
86.66/86.82	    ![X0 : dB]:
86.66/86.82	      (app_encode_app(bool, $o, pp, 
86.66/86.82	         app_encode_app(type, bool, 
86.66/86.82	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	             aa(type, bool), 
86.66/86.82	             app_encode_app(dB, fun(type, bool), 
86.66/86.82	               app_encode_app(fun(nat, type), 
86.66/86.82	                 app_encode_fun(dB, fun(type, bool)), typing, e), 
86.66/86.82	               app_encode_app(nat, dB, 
86.66/86.82	                 app_encode_app(dB, app_encode_fun(nat, dB), 
86.66/86.82	                   app_encode_app(dB, 
86.66/86.82	                     app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
86.66/86.82	                   X0), i))), t))
86.66/86.82	       | ~ app_encode_app(bool, $o, pp, 
86.66/86.82	             app_encode_app(type, bool, 
86.66/86.82	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	                 aa(type, bool), 
86.66/86.82	                 app_encode_app(dB, fun(type, bool), 
86.66/86.82	                   app_encode_app(fun(nat, type), 
86.66/86.82	                     app_encode_fun(dB, fun(type, bool)), typing, e), X0)), 
86.66/86.82	               t1))),
86.66/86.82	    inference('simplify', [status(thm)], ['3'])).
86.66/86.82	tff(zf_stmt_165, conjecture,
86.66/86.82	  (app_encode_app(bool,$o,pp,
86.66/86.82	                  app_encode_app(type,bool,
86.66/86.82	                                 app_encode_app(fun(type,bool),
86.66/86.82	                                                app_encode_fun(type,bool),
86.66/86.82	                                                aa(type,bool),
86.66/86.82	                                                app_encode_app(dB,
86.66/86.82	                                                               fun(type,bool),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               fun(nat,type),
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               dB,
86.66/86.82	                                                               fun(type,bool)),
86.66/86.82	                                                               typing,e),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               nat,dB,
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               dB,
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               nat,dB),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               dB,
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               dB,
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               nat,dB)),
86.66/86.82	                                                               subst,a),u),i))),
86.66/86.82	                                 t)))).
86.66/86.82	tff(zf_stmt_0, negated_conjecture,
86.66/86.82	  (~
86.66/86.82	    app_encode_app(bool,$o,pp,
86.66/86.82	                   app_encode_app(type,bool,
86.66/86.82	                                  app_encode_app(fun(type,bool),
86.66/86.82	                                                 app_encode_fun(type,bool),
86.66/86.82	                                                 aa(type,bool),
86.66/86.82	                                                 app_encode_app(dB,
86.66/86.82	                                                                fun(type,bool),
86.66/86.82	                                                                app_encode_app(
86.66/86.82	                                                                fun(nat,type),
86.66/86.82	                                                                app_encode_fun(
86.66/86.82	                                                                dB,
86.66/86.82	                                                                fun(type,bool)),
86.66/86.82	                                                                typing,e),
86.66/86.82	                                                                app_encode_app(
86.66/86.82	                                                                nat,dB,
86.66/86.82	                                                                app_encode_app(
86.66/86.82	                                                                dB,
86.66/86.82	                                                                app_encode_fun(
86.66/86.82	                                                                nat,dB),
86.66/86.82	                                                                app_encode_app(
86.66/86.82	                                                                dB,
86.66/86.82	                                                                app_encode_fun(
86.66/86.82	                                                                dB,
86.66/86.82	                                                                app_encode_fun(
86.66/86.82	                                                                nat,dB)),
86.66/86.82	                                                                subst,a),u),i))),
86.66/86.82	                                  t)))).
86.66/86.82	tff('5', plain,
86.66/86.82	    ~ app_encode_app(bool, $o, pp, 
86.66/86.82	        app_encode_app(type, bool, 
86.66/86.82	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	            aa(type, bool), 
86.66/86.82	            app_encode_app(dB, fun(type, bool), 
86.66/86.82	              app_encode_app(fun(nat, type), 
86.66/86.82	                app_encode_fun(dB, fun(type, bool)), typing, e), 
86.66/86.82	              app_encode_app(nat, dB, 
86.66/86.82	                app_encode_app(dB, app_encode_fun(nat, dB), 
86.66/86.82	                  app_encode_app(dB, 
86.66/86.82	                    app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
86.66/86.82	                  u), i))), t)),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_0])).
86.66/86.82	tff('6', plain,
86.66/86.82	    (~ $true
86.66/86.82	     | ~ app_encode_app(bool, $o, pp, 
86.66/86.82	           app_encode_app(type, bool, 
86.66/86.82	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	               aa(type, bool), 
86.66/86.82	               app_encode_app(dB, fun(type, bool), 
86.66/86.82	                 app_encode_app(fun(nat, type), 
86.66/86.82	                   app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1))),
86.66/86.82	    inference('sup-', [status(thm)], ['4', '5'])).
86.66/86.82	tff(zf_stmt_55, axiom,
86.66/86.82	  (app_encode_app(bool,$o,pp,
86.66/86.82	                  app_encode_app(type,bool,
86.66/86.82	                                 app_encode_app(fun(type,bool),
86.66/86.82	                                                app_encode_fun(type,bool),
86.66/86.82	                                                aa(type,bool),
86.66/86.82	                                                app_encode_app(dB,
86.66/86.82	                                                               fun(type,bool),
86.66/86.82	                                                               app_encode_app(
86.66/86.82	                                                               fun(nat,type),
86.66/86.82	                                                               app_encode_fun(
86.66/86.82	                                                               dB,
86.66/86.82	                                                               fun(type,bool)),
86.66/86.82	                                                               typing,e),u)),
86.66/86.82	                                 t1)))).
86.66/86.82	tff('7', plain,
86.66/86.82	    app_encode_app(bool, $o, pp, 
86.66/86.82	      app_encode_app(type, bool, 
86.66/86.82	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	          aa(type, bool), 
86.66/86.82	          app_encode_app(dB, fun(type, bool), 
86.66/86.82	            app_encode_app(fun(nat, type), 
86.66/86.82	              app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_55])).
86.66/86.82	tff(zf_stmt_164, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
86.66/86.82	tff('8', plain, ![X342 : bool]: (X342 = fTrue | X342 = fFalse),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_164])).
86.66/86.82	tff(zf_stmt_155, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
86.66/86.82	tff('9', plain, ~ app_encode_app(bool, $o, pp, fFalse),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_155])).
86.66/86.82	tff('10', plain,
86.66/86.82	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
86.66/86.82	    inference('sup-', [status(thm)], ['8', '9'])).
86.66/86.82	tff('11', plain,
86.66/86.82	    (~ $true
86.66/86.82	     | app_encode_app(type, bool, 
86.66/86.82	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	           aa(type, bool), 
86.66/86.82	           app_encode_app(dB, fun(type, bool), 
86.66/86.82	             app_encode_app(fun(nat, type), 
86.66/86.82	               app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)
86.66/86.82	        = fTrue),
86.66/86.82	    inference('sup-', [status(thm)], ['7', '10'])).
86.66/86.82	tff('12', plain,
86.66/86.82	    app_encode_app(type, bool, 
86.66/86.82	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	        aa(type, bool), 
86.66/86.82	        app_encode_app(dB, fun(type, bool), 
86.66/86.82	          app_encode_app(fun(nat, type), 
86.66/86.82	            app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)
86.66/86.82	     = fTrue,
86.66/86.82	    inference('simplify', [status(thm)], ['11'])).
86.66/86.82	tff(zf_stmt_58, axiom,
86.66/86.82	  (app_encode_app(bool,$o,pp,
86.66/86.82	                  app_encode_app(dB,bool,
86.66/86.82	                                 app_encode_app(fun(dB,bool),
86.66/86.82	                                                app_encode_fun(dB,bool),
86.66/86.82	                                                aa(dB,bool),it),
86.66/86.82	                                 u)))).
86.66/86.82	tff('13', plain,
86.66/86.82	    app_encode_app(bool, $o, pp, 
86.66/86.82	      app_encode_app(dB, bool, 
86.66/86.82	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
86.66/86.82	          aa(dB, bool), it), u)),
86.66/86.82	    inference('cnf', [status(esa)], [zf_stmt_58])).
86.66/86.82	tff('14', plain,
86.66/86.82	    (~ $true
86.66/86.82	     | app_encode_app(dB, bool, 
86.66/86.82	         app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
86.66/86.82	           aa(dB, bool), it), u)
86.66/86.82	        = fTrue),
86.66/86.82	    inference('sup-', [status(thm)], ['13', '10'])).
86.66/86.82	tff('15', plain,
86.66/86.82	    app_encode_app(dB, bool, 
86.66/86.82	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
86.66/86.82	        it), u)
86.66/86.82	     = fTrue,
86.66/86.82	    inference('simplify', [status(thm)], ['14'])).
86.66/86.82	tff('16', plain,
86.66/86.82	    app_encode_app(dB, bool, 
86.66/86.82	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
86.66/86.82	        it), u)
86.66/86.82	     = app_encode_app(type, bool, 
86.66/86.82	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
86.66/86.82	           aa(type, bool), 
86.66/86.82	           app_encode_app(dB, fun(type, bool), 
86.66/86.82	             app_encode_app(fun(nat, type), 
86.66/86.82	               app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1),
86.66/86.82	    inference('sup+', [status(thm)], ['12', '15'])).
86.66/86.82	tff('17', plain, (~ $true | ~ $true),
86.66/86.82	    inference('demod', [status(thm)], ['6', '16', '13'])).
86.66/86.82	tff('18', plain, $false, inference('simplify', [status(thm)], ['17'])).
86.66/86.82	
86.66/86.82	% SZS output end Refutation
86.66/86.83	EOF
