0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n029.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:05:39 CST 2018
11.05/11.29	% done 2307 iterations in 11.085s
11.05/11.29	% SZS status Theorem for 'stdin'
11.05/11.29	% SZS output start Refutation
11.05/11.29	tff(zf_stmt_164, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
11.05/11.29	tff('0', plain, ![X342 : bool]: (X342 = fTrue | X342 = fFalse),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_164])).
11.05/11.29	tff(zf_stmt_156, axiom, (app_encode_app(bool,$o,pp,fTrue))).
11.05/11.29	tff('1', plain, app_encode_app(bool, $o, pp, fTrue),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_156])).
11.05/11.29	tff('2', plain,
11.05/11.29	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
11.05/11.29	    inference('sup+', [status(thm)], ['0', '1'])).
11.05/11.29	tff(zf_stmt_165, conjecture,
11.05/11.29	  (app_encode_app(bool,$o,pp,
11.05/11.29	                  app_encode_app(type,bool,
11.05/11.29	                                 app_encode_app(fun(type,bool),
11.05/11.29	                                                app_encode_fun(type,bool),
11.05/11.29	                                                aa(type,bool),
11.05/11.29	                                                app_encode_app(dB,
11.05/11.29	                                                               fun(type,bool),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               fun(nat,type),
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               dB,
11.05/11.29	                                                               fun(type,bool)),
11.05/11.29	                                                               typing,e),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               nat,dB,
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               dB,
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               nat,dB),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               dB,
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               dB,
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               nat,dB)),
11.05/11.29	                                                               subst,a),u),i))),
11.05/11.29	                                 t)))).
11.05/11.29	tff(zf_stmt_0, negated_conjecture,
11.05/11.29	  (~
11.05/11.29	    app_encode_app(bool,$o,pp,
11.05/11.29	                   app_encode_app(type,bool,
11.05/11.29	                                  app_encode_app(fun(type,bool),
11.05/11.29	                                                 app_encode_fun(type,bool),
11.05/11.29	                                                 aa(type,bool),
11.05/11.29	                                                 app_encode_app(dB,
11.05/11.29	                                                                fun(type,bool),
11.05/11.29	                                                                app_encode_app(
11.05/11.29	                                                                fun(nat,type),
11.05/11.29	                                                                app_encode_fun(
11.05/11.29	                                                                dB,
11.05/11.29	                                                                fun(type,bool)),
11.05/11.29	                                                                typing,e),
11.05/11.29	                                                                app_encode_app(
11.05/11.29	                                                                nat,dB,
11.05/11.29	                                                                app_encode_app(
11.05/11.29	                                                                dB,
11.05/11.29	                                                                app_encode_fun(
11.05/11.29	                                                                nat,dB),
11.05/11.29	                                                                app_encode_app(
11.05/11.29	                                                                dB,
11.05/11.29	                                                                app_encode_fun(
11.05/11.29	                                                                dB,
11.05/11.29	                                                                app_encode_fun(
11.05/11.29	                                                                nat,dB)),
11.05/11.29	                                                                subst,a),u),i))),
11.05/11.29	                                  t)))).
11.05/11.29	tff('3', plain,
11.05/11.29	    ~ app_encode_app(bool, $o, pp, 
11.05/11.29	        app_encode_app(type, bool, 
11.05/11.29	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	            aa(type, bool), 
11.05/11.29	            app_encode_app(dB, fun(type, bool), 
11.05/11.29	              app_encode_app(fun(nat, type), 
11.05/11.29	                app_encode_fun(dB, fun(type, bool)), typing, e), 
11.05/11.29	              app_encode_app(nat, dB, 
11.05/11.29	                app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	                  app_encode_app(dB, 
11.05/11.29	                    app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
11.05/11.29	                  u), i))), t)),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
11.05/11.29	tff('4', plain,
11.05/11.29	    (~ $true
11.05/11.29	     | app_encode_app(type, bool, 
11.05/11.29	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	           aa(type, bool), 
11.05/11.29	           app_encode_app(dB, fun(type, bool), 
11.05/11.29	             app_encode_app(fun(nat, type), 
11.05/11.29	               app_encode_fun(dB, fun(type, bool)), typing, e), 
11.05/11.29	             app_encode_app(nat, dB, 
11.05/11.29	               app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	                 app_encode_app(dB, 
11.05/11.29	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
11.05/11.29	               i))), t)
11.05/11.29	        = fFalse),
11.05/11.29	    inference('sup-', [status(thm)], ['2', '3'])).
11.05/11.29	tff('5', plain,
11.05/11.29	    app_encode_app(type, bool, 
11.05/11.29	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	        aa(type, bool), 
11.05/11.29	        app_encode_app(dB, fun(type, bool), 
11.05/11.29	          app_encode_app(fun(nat, type), 
11.05/11.29	            app_encode_fun(dB, fun(type, bool)), typing, e), 
11.05/11.29	          app_encode_app(nat, dB, 
11.05/11.29	            app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	              app_encode_app(dB, 
11.05/11.29	                app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
11.05/11.29	            i))), t)
11.05/11.29	     = fFalse,
11.05/11.29	    inference('simplify', [status(thm)], ['4'])).
11.05/11.29	tff(zf_stmt_59, axiom,
11.05/11.29	  (app_encode_app(bool,$o,pp,
11.05/11.29	                  app_encode_app(type,bool,
11.05/11.29	                                 app_encode_app(fun(type,bool),
11.05/11.29	                                                app_encode_fun(type,bool),
11.05/11.29	                                                aa(type,bool),
11.05/11.29	                                                app_encode_app(dB,
11.05/11.29	                                                               fun(type,bool),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               fun(nat,type),
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               dB,
11.05/11.29	                                                               fun(type,bool)),
11.05/11.29	                                                               typing,
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               type,
11.05/11.29	                                                               fun(nat,type),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               nat,
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               type,
11.05/11.29	                                                               fun(nat,type)),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               fun(nat,type),
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               nat,
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               type,
11.05/11.29	                                                               fun(nat,type))),
11.05/11.29	                                                               shift(type),e),
11.05/11.29	                                                               i),t1)),a)),
11.05/11.29	                                 t)))).
11.05/11.29	tff('6', plain,
11.05/11.29	    app_encode_app(bool, $o, pp, 
11.05/11.29	      app_encode_app(type, bool, 
11.05/11.29	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	          aa(type, bool), 
11.05/11.29	          app_encode_app(dB, fun(type, bool), 
11.05/11.29	            app_encode_app(fun(nat, type), 
11.05/11.29	              app_encode_fun(dB, fun(type, bool)), typing, 
11.05/11.29	              app_encode_app(type, fun(nat, type), 
11.05/11.29	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
11.05/11.29	                  app_encode_app(fun(nat, type), 
11.05/11.29	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
11.05/11.29	                    shift(type), e), i), t1)), a)), t)),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_59])).
11.05/11.29	tff(zf_stmt_63, axiom,
11.05/11.29	  (![Ib:nat,Ua:type,Ub:dB,E:fun(nat,type),Ta1:type,Ta:dB,Eb:fun(nat,type)]:
11.05/11.29	     (app_encode_app(bool,$o,pp,
11.05/11.29	                     app_encode_app(type,bool,
11.05/11.29	                                    app_encode_app(fun(type,bool),
11.05/11.29	                                                   app_encode_fun(type,bool),
11.05/11.29	                                                   aa(type,bool),
11.05/11.29	                                                   app_encode_app(dB,
11.05/11.29	                                                                  fun(
11.05/11.29	                                                                  type,bool),
11.05/11.29	                                                                  app_encode_app(
11.05/11.29	                                                                  fun(
11.05/11.29	                                                                  nat,type),
11.05/11.29	                                                                  app_encode_fun(
11.05/11.29	                                                                  dB,
11.05/11.29	                                                                  fun(
11.05/11.29	                                                                  type,bool)),
11.05/11.29	                                                                  typing,Eb),
11.05/11.29	                                                                  Ta)),
11.05/11.29	                                    Ta1)) =>
11.05/11.29	      (app_encode_app(bool,$o,pp,
11.05/11.29	                      app_encode_app(type,bool,
11.05/11.29	                                     app_encode_app(fun(type,bool),
11.05/11.29	                                                    app_encode_fun(type,bool),
11.05/11.29	                                                    aa(type,bool),
11.05/11.29	                                                    app_encode_app(dB,
11.05/11.29	                                                                   fun(
11.05/11.29	                                                                   type,bool),
11.05/11.29	                                                                   app_encode_app(
11.05/11.29	                                                                   fun(
11.05/11.29	                                                                   nat,type),
11.05/11.29	                                                                   app_encode_fun(
11.05/11.29	                                                                   dB,
11.05/11.29	                                                                   fun(
11.05/11.29	                                                                   type,bool)),
11.05/11.29	                                                                   typing,E),
11.05/11.29	                                                                   Ub)),
11.05/11.29	                                     Ua)) =>
11.05/11.29	       ((Eb =
11.05/11.29	         app_encode_app(type,fun(nat,type),
11.05/11.29	                        app_encode_app(nat,
11.05/11.29	                                       app_encode_fun(type,fun(nat,type)),
11.05/11.29	                                       app_encode_app(fun(nat,type),
11.05/11.29	                                                      app_encode_fun(
11.05/11.29	                                                      nat,
11.05/11.29	                                                      app_encode_fun(
11.05/11.29	                                                      type,fun(nat,type))),
11.05/11.29	                                                      shift(type),E),
11.05/11.29	                                       Ib),
11.05/11.29	                        Ua)) =>
11.05/11.29	        app_encode_app(bool,$o,pp,
11.05/11.29	                       app_encode_app(type,bool,
11.05/11.29	                                      app_encode_app(fun(type,bool),
11.05/11.29	                                                     app_encode_fun(type,bool),
11.05/11.29	                                                     aa(type,bool),
11.05/11.29	                                                     app_encode_app(dB,
11.05/11.29	                                                                    fun(
11.05/11.29	                                                                    type,bool),
11.05/11.29	                                                                    app_encode_app(
11.05/11.29	                                                                    fun(
11.05/11.29	                                                                    nat,type),
11.05/11.29	                                                                    app_encode_fun(
11.05/11.29	                                                                    dB,
11.05/11.29	                                                                    fun(
11.05/11.29	                                                                    type,bool)),
11.05/11.29	                                                                    typing,E),
11.05/11.29	                                                                    app_encode_app(
11.05/11.29	                                                                    nat,dB,
11.05/11.29	                                                                    app_encode_app(
11.05/11.29	                                                                    dB,
11.05/11.29	                                                                    app_encode_fun(
11.05/11.29	                                                                    nat,dB),
11.05/11.29	                                                                    app_encode_app(
11.05/11.29	                                                                    dB,
11.05/11.29	                                                                    app_encode_fun(
11.05/11.29	                                                                    dB,
11.05/11.29	                                                                    app_encode_fun(
11.05/11.29	                                                                    nat,dB)),
11.05/11.29	                                                                    subst,Ta),
11.05/11.29	                                                                    Ub),Ib))),
11.05/11.29	                                      Ta1))))))).
11.05/11.29	tff('7', plain,
11.05/11.29	    ![X4 : fun(nat, type), X5 : dB, X6 : type, X7 : dB, X8 : nat, X9 : type, 
11.05/11.29	      X10 : fun(nat, type)]:
11.05/11.29	      (~ app_encode_app(bool, $o, pp, 
11.05/11.29	           app_encode_app(type, bool, 
11.05/11.29	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	               aa(type, bool), 
11.05/11.29	               app_encode_app(dB, fun(type, bool), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(dB, fun(type, bool)), typing, X4), X5)), 
11.05/11.29	             X6))
11.05/11.29	       | app_encode_app(bool, $o, pp, 
11.05/11.29	           app_encode_app(type, bool, 
11.05/11.29	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	               aa(type, bool), 
11.05/11.29	               app_encode_app(dB, fun(type, bool), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(dB, fun(type, bool)), typing, X4), 
11.05/11.29	                 app_encode_app(nat, dB, 
11.05/11.29	                   app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	                     app_encode_app(dB, 
11.05/11.29	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
11.05/11.29	                       X7), X5), X8))), X9))
11.05/11.29	       | ~ app_encode_app(bool, $o, pp, 
11.05/11.29	             app_encode_app(type, bool, 
11.05/11.29	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	                 aa(type, bool), 
11.05/11.29	                 app_encode_app(dB, fun(type, bool), 
11.05/11.29	                   app_encode_app(fun(nat, type), 
11.05/11.29	                     app_encode_fun(dB, fun(type, bool)), typing, X10), X7)), 
11.05/11.29	               X9))
11.05/11.29	       | X10
11.05/11.29	          != app_encode_app(type, fun(nat, type), 
11.05/11.29	               app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
11.05/11.29	                   shift(type), X4), X8), X6)),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_63])).
11.05/11.29	tff('8', plain,
11.05/11.29	    ![X4 : fun(nat, type), X5 : dB, X6 : type, X7 : dB, X8 : nat, X9 : type]:
11.05/11.29	      (~ app_encode_app(bool, $o, pp, 
11.05/11.29	           app_encode_app(type, bool, 
11.05/11.29	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	               aa(type, bool), 
11.05/11.29	               app_encode_app(dB, fun(type, bool), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(dB, fun(type, bool)), typing, 
11.05/11.29	                   app_encode_app(type, fun(nat, type), 
11.05/11.29	                     app_encode_app(nat, 
11.05/11.29	                       app_encode_fun(type, fun(nat, type)), 
11.05/11.29	                       app_encode_app(fun(nat, type), 
11.05/11.29	                         app_encode_fun(nat, 
11.05/11.29	                           app_encode_fun(type, fun(nat, type))), 
11.05/11.29	                         shift(type), X4), X8), X6)), X7)), X9))
11.05/11.29	       | app_encode_app(bool, $o, pp, 
11.05/11.29	           app_encode_app(type, bool, 
11.05/11.29	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	               aa(type, bool), 
11.05/11.29	               app_encode_app(dB, fun(type, bool), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(dB, fun(type, bool)), typing, X4), 
11.05/11.29	                 app_encode_app(nat, dB, 
11.05/11.29	                   app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	                     app_encode_app(dB, 
11.05/11.29	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
11.05/11.29	                       X7), X5), X8))), X9))
11.05/11.29	       | ~ app_encode_app(bool, $o, pp, 
11.05/11.29	             app_encode_app(type, bool, 
11.05/11.29	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	                 aa(type, bool), 
11.05/11.29	                 app_encode_app(dB, fun(type, bool), 
11.05/11.29	                   app_encode_app(fun(nat, type), 
11.05/11.29	                     app_encode_fun(dB, fun(type, bool)), typing, X4), X5)), 
11.05/11.29	               X6))),
11.05/11.29	    inference('simplify', [status(thm)], ['7'])).
11.05/11.29	tff('9', plain,
11.05/11.29	    ![X0 : dB]:
11.05/11.29	      (~ $true
11.05/11.29	       | ~ app_encode_app(bool, $o, pp, 
11.05/11.29	             app_encode_app(type, bool, 
11.05/11.29	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	                 aa(type, bool), 
11.05/11.29	                 app_encode_app(dB, fun(type, bool), 
11.05/11.29	                   app_encode_app(fun(nat, type), 
11.05/11.29	                     app_encode_fun(dB, fun(type, bool)), typing, e), X0)), 
11.05/11.29	               t1))
11.05/11.29	       | app_encode_app(bool, $o, pp, 
11.05/11.29	           app_encode_app(type, bool, 
11.05/11.29	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	               aa(type, bool), 
11.05/11.29	               app_encode_app(dB, fun(type, bool), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(dB, fun(type, bool)), typing, e), 
11.05/11.29	                 app_encode_app(nat, dB, 
11.05/11.29	                   app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	                     app_encode_app(dB, 
11.05/11.29	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
11.05/11.29	                     X0), i))), t))),
11.05/11.29	    inference('sup-', [status(thm)], ['6', '8'])).
11.05/11.29	tff('10', plain,
11.05/11.29	    ![X0 : dB]:
11.05/11.29	      (app_encode_app(bool, $o, pp, 
11.05/11.29	         app_encode_app(type, bool, 
11.05/11.29	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	             aa(type, bool), 
11.05/11.29	             app_encode_app(dB, fun(type, bool), 
11.05/11.29	               app_encode_app(fun(nat, type), 
11.05/11.29	                 app_encode_fun(dB, fun(type, bool)), typing, e), 
11.05/11.29	               app_encode_app(nat, dB, 
11.05/11.29	                 app_encode_app(dB, app_encode_fun(nat, dB), 
11.05/11.29	                   app_encode_app(dB, 
11.05/11.29	                     app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
11.05/11.29	                   X0), i))), t))
11.05/11.29	       | ~ app_encode_app(bool, $o, pp, 
11.05/11.29	             app_encode_app(type, bool, 
11.05/11.29	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	                 aa(type, bool), 
11.05/11.29	                 app_encode_app(dB, fun(type, bool), 
11.05/11.29	                   app_encode_app(fun(nat, type), 
11.05/11.29	                     app_encode_fun(dB, fun(type, bool)), typing, e), X0)), 
11.05/11.29	               t1))),
11.05/11.29	    inference('simplify', [status(thm)], ['9'])).
11.05/11.29	tff('11', plain,
11.05/11.29	    (app_encode_app(bool, $o, pp, fFalse)
11.05/11.29	     | ~ app_encode_app(bool, $o, pp, 
11.05/11.29	           app_encode_app(type, bool, 
11.05/11.29	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	               aa(type, bool), 
11.05/11.29	               app_encode_app(dB, fun(type, bool), 
11.05/11.29	                 app_encode_app(fun(nat, type), 
11.05/11.29	                   app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1))),
11.05/11.29	    inference('sup+', [status(thm)], ['5', '10'])).
11.05/11.29	tff(zf_stmt_55, axiom,
11.05/11.29	  (app_encode_app(bool,$o,pp,
11.05/11.29	                  app_encode_app(type,bool,
11.05/11.29	                                 app_encode_app(fun(type,bool),
11.05/11.29	                                                app_encode_fun(type,bool),
11.05/11.29	                                                aa(type,bool),
11.05/11.29	                                                app_encode_app(dB,
11.05/11.29	                                                               fun(type,bool),
11.05/11.29	                                                               app_encode_app(
11.05/11.29	                                                               fun(nat,type),
11.05/11.29	                                                               app_encode_fun(
11.05/11.29	                                                               dB,
11.05/11.29	                                                               fun(type,bool)),
11.05/11.29	                                                               typing,e),u)),
11.05/11.29	                                 t1)))).
11.05/11.29	tff('12', plain,
11.05/11.29	    app_encode_app(bool, $o, pp, 
11.05/11.29	      app_encode_app(type, bool, 
11.05/11.29	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	          aa(type, bool), 
11.05/11.29	          app_encode_app(dB, fun(type, bool), 
11.05/11.29	            app_encode_app(fun(nat, type), 
11.05/11.29	              app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_55])).
11.05/11.29	tff(zf_stmt_155, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
11.05/11.29	tff('13', plain, ~ app_encode_app(bool, $o, pp, fFalse),
11.05/11.29	    inference('cnf', [status(esa)], [zf_stmt_155])).
11.05/11.29	tff('14', plain,
11.05/11.29	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
11.05/11.29	    inference('sup-', [status(thm)], ['0', '13'])).
11.05/11.29	tff('15', plain,
11.05/11.29	    (~ $true
11.05/11.29	     | app_encode_app(type, bool, 
11.05/11.29	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	           aa(type, bool), 
11.05/11.29	           app_encode_app(dB, fun(type, bool), 
11.05/11.29	             app_encode_app(fun(nat, type), 
11.05/11.29	               app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)
11.05/11.29	        = fTrue),
11.05/11.29	    inference('sup-', [status(thm)], ['12', '14'])).
11.05/11.29	tff('16', plain,
11.05/11.29	    app_encode_app(type, bool, 
11.05/11.29	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
11.05/11.29	        aa(type, bool), 
11.05/11.29	        app_encode_app(dB, fun(type, bool), 
11.05/11.29	          app_encode_app(fun(nat, type), 
11.05/11.29	            app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)
11.05/11.29	     = fTrue,
11.05/11.29	    inference('simplify', [status(thm)], ['15'])).
11.05/11.29	tff('17', plain, (app_encode_app(bool, $o, pp, fFalse) | ~ $true),
11.05/11.29	    inference('demod', [status(thm)], ['11', '16', '1'])).
11.05/11.29	tff('18', plain, app_encode_app(bool, $o, pp, fFalse),
11.05/11.29	    inference('simplify', [status(thm)], ['17'])).
11.05/11.29	tff('19', plain, ~ $true, inference('sup-', [status(thm)], ['18', '13'])).
11.05/11.29	tff('20', plain, $false, inference('simplify', [status(thm)], ['19'])).
11.05/11.29	
11.05/11.29	% SZS output end Refutation
11.05/11.30	EOF
