0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n160.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:05:39 CST 2018
12.75/12.91	% done 2577 iterations in 12.705s
12.75/12.91	% SZS status Theorem for 'stdin'
12.75/12.91	% SZS output start Refutation
12.75/12.92	tff(zf_stmt_165, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
12.75/12.92	tff('0', plain, ![X346 : bool]: (X346 = fTrue | X346 = fFalse),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_165])).
12.75/12.92	tff(zf_stmt_157, axiom, (app_encode_app(bool,$o,pp,fTrue))).
12.75/12.92	tff('1', plain, app_encode_app(bool, $o, pp, fTrue),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_157])).
12.75/12.92	tff('2', plain,
12.75/12.92	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
12.75/12.92	    inference('sup+', [status(thm)], ['0', '1'])).
12.75/12.92	tff(zf_stmt_166, conjecture,
12.75/12.92	  (app_encode_app(bool,$o,pp,
12.75/12.92	                  app_encode_app(type,bool,
12.75/12.92	                                 app_encode_app(fun(type,bool),
12.75/12.92	                                                app_encode_fun(type,bool),
12.75/12.92	                                                aa(type,bool),
12.75/12.92	                                                app_encode_app(dB,
12.75/12.92	                                                               fun(type,bool),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               fun(nat,type),
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               dB,
12.75/12.92	                                                               fun(type,bool)),
12.75/12.92	                                                               typing,e),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               nat,dB,
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               dB,
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               nat,dB),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               dB,
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               dB,
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               nat,dB)),
12.75/12.92	                                                               subst,a),u),i))),
12.75/12.92	                                 t)))).
12.75/12.92	tff(zf_stmt_0, negated_conjecture,
12.75/12.92	  (~
12.75/12.92	    app_encode_app(bool,$o,pp,
12.75/12.92	                   app_encode_app(type,bool,
12.75/12.92	                                  app_encode_app(fun(type,bool),
12.75/12.92	                                                 app_encode_fun(type,bool),
12.75/12.92	                                                 aa(type,bool),
12.75/12.92	                                                 app_encode_app(dB,
12.75/12.92	                                                                fun(type,bool),
12.75/12.92	                                                                app_encode_app(
12.75/12.92	                                                                fun(nat,type),
12.75/12.92	                                                                app_encode_fun(
12.75/12.92	                                                                dB,
12.75/12.92	                                                                fun(type,bool)),
12.75/12.92	                                                                typing,e),
12.75/12.92	                                                                app_encode_app(
12.75/12.92	                                                                nat,dB,
12.75/12.92	                                                                app_encode_app(
12.75/12.92	                                                                dB,
12.75/12.92	                                                                app_encode_fun(
12.75/12.92	                                                                nat,dB),
12.75/12.92	                                                                app_encode_app(
12.75/12.92	                                                                dB,
12.75/12.92	                                                                app_encode_fun(
12.75/12.92	                                                                dB,
12.75/12.92	                                                                app_encode_fun(
12.75/12.92	                                                                nat,dB)),
12.75/12.92	                                                                subst,a),u),i))),
12.75/12.92	                                  t)))).
12.75/12.92	tff('3', plain,
12.75/12.92	    ~ app_encode_app(bool, $o, pp, 
12.75/12.92	        app_encode_app(type, bool, 
12.75/12.92	          app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	            aa(type, bool), 
12.75/12.92	            app_encode_app(dB, fun(type, bool), 
12.75/12.92	              app_encode_app(fun(nat, type), 
12.75/12.92	                app_encode_fun(dB, fun(type, bool)), typing, e), 
12.75/12.92	              app_encode_app(nat, dB, 
12.75/12.92	                app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	                  app_encode_app(dB, 
12.75/12.92	                    app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
12.75/12.92	                  u), i))), t)),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_0])).
12.75/12.92	tff('4', plain,
12.75/12.92	    (~ $true
12.75/12.92	     | app_encode_app(type, bool, 
12.75/12.92	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	           aa(type, bool), 
12.75/12.92	           app_encode_app(dB, fun(type, bool), 
12.75/12.92	             app_encode_app(fun(nat, type), 
12.75/12.92	               app_encode_fun(dB, fun(type, bool)), typing, e), 
12.75/12.92	             app_encode_app(nat, dB, 
12.75/12.92	               app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	                 app_encode_app(dB, 
12.75/12.92	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
12.75/12.92	               i))), t)
12.75/12.92	        = fFalse),
12.75/12.92	    inference('sup-', [status(thm)], ['2', '3'])).
12.75/12.92	tff('5', plain,
12.75/12.92	    app_encode_app(type, bool, 
12.75/12.92	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	        aa(type, bool), 
12.75/12.92	        app_encode_app(dB, fun(type, bool), 
12.75/12.92	          app_encode_app(fun(nat, type), 
12.75/12.92	            app_encode_fun(dB, fun(type, bool)), typing, e), 
12.75/12.92	          app_encode_app(nat, dB, 
12.75/12.92	            app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	              app_encode_app(dB, 
12.75/12.92	                app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
12.75/12.92	            i))), t)
12.75/12.92	     = fFalse,
12.75/12.92	    inference('simplify', [status(thm)], ['4'])).
12.75/12.92	tff(zf_stmt_60, axiom,
12.75/12.92	  (app_encode_app(bool,$o,pp,
12.75/12.92	                  app_encode_app(type,bool,
12.75/12.92	                                 app_encode_app(fun(type,bool),
12.75/12.92	                                                app_encode_fun(type,bool),
12.75/12.92	                                                aa(type,bool),
12.75/12.92	                                                app_encode_app(dB,
12.75/12.92	                                                               fun(type,bool),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               fun(nat,type),
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               dB,
12.75/12.92	                                                               fun(type,bool)),
12.75/12.92	                                                               typing,
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               type,
12.75/12.92	                                                               fun(nat,type),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               nat,
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               type,
12.75/12.92	                                                               fun(nat,type)),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               fun(nat,type),
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               nat,
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               type,
12.75/12.92	                                                               fun(nat,type))),
12.75/12.92	                                                               shift(type),e),
12.75/12.92	                                                               i),t1)),a)),
12.75/12.92	                                 t)))).
12.75/12.92	tff('6', plain,
12.75/12.92	    app_encode_app(bool, $o, pp, 
12.75/12.92	      app_encode_app(type, bool, 
12.75/12.92	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	          aa(type, bool), 
12.75/12.92	          app_encode_app(dB, fun(type, bool), 
12.75/12.92	            app_encode_app(fun(nat, type), 
12.75/12.92	              app_encode_fun(dB, fun(type, bool)), typing, 
12.75/12.92	              app_encode_app(type, fun(nat, type), 
12.75/12.92	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
12.75/12.92	                  app_encode_app(fun(nat, type), 
12.75/12.92	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
12.75/12.92	                    shift(type), e), i), t1)), a)), t)),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_60])).
12.75/12.92	tff(zf_stmt_64, axiom,
12.75/12.92	  (![Ib:nat,Ua:type,Ub:dB,E:fun(nat,type),Ta1:type,Ta:dB,Eb:fun(nat,type)]:
12.75/12.92	     (app_encode_app(bool,$o,pp,
12.75/12.92	                     app_encode_app(type,bool,
12.75/12.92	                                    app_encode_app(fun(type,bool),
12.75/12.92	                                                   app_encode_fun(type,bool),
12.75/12.92	                                                   aa(type,bool),
12.75/12.92	                                                   app_encode_app(dB,
12.75/12.92	                                                                  fun(
12.75/12.92	                                                                  type,bool),
12.75/12.92	                                                                  app_encode_app(
12.75/12.92	                                                                  fun(
12.75/12.92	                                                                  nat,type),
12.75/12.92	                                                                  app_encode_fun(
12.75/12.92	                                                                  dB,
12.75/12.92	                                                                  fun(
12.75/12.92	                                                                  type,bool)),
12.75/12.92	                                                                  typing,Eb),
12.75/12.92	                                                                  Ta)),
12.75/12.92	                                    Ta1)) =>
12.75/12.92	      (app_encode_app(bool,$o,pp,
12.75/12.92	                      app_encode_app(type,bool,
12.75/12.92	                                     app_encode_app(fun(type,bool),
12.75/12.92	                                                    app_encode_fun(type,bool),
12.75/12.92	                                                    aa(type,bool),
12.75/12.92	                                                    app_encode_app(dB,
12.75/12.92	                                                                   fun(
12.75/12.92	                                                                   type,bool),
12.75/12.92	                                                                   app_encode_app(
12.75/12.92	                                                                   fun(
12.75/12.92	                                                                   nat,type),
12.75/12.92	                                                                   app_encode_fun(
12.75/12.92	                                                                   dB,
12.75/12.92	                                                                   fun(
12.75/12.92	                                                                   type,bool)),
12.75/12.92	                                                                   typing,E),
12.75/12.92	                                                                   Ub)),
12.75/12.92	                                     Ua)) =>
12.75/12.92	       ((Eb =
12.75/12.92	         app_encode_app(type,fun(nat,type),
12.75/12.92	                        app_encode_app(nat,
12.75/12.92	                                       app_encode_fun(type,fun(nat,type)),
12.75/12.92	                                       app_encode_app(fun(nat,type),
12.75/12.92	                                                      app_encode_fun(
12.75/12.92	                                                      nat,
12.75/12.92	                                                      app_encode_fun(
12.75/12.92	                                                      type,fun(nat,type))),
12.75/12.92	                                                      shift(type),E),
12.75/12.92	                                       Ib),
12.75/12.92	                        Ua)) =>
12.75/12.92	        app_encode_app(bool,$o,pp,
12.75/12.92	                       app_encode_app(type,bool,
12.75/12.92	                                      app_encode_app(fun(type,bool),
12.75/12.92	                                                     app_encode_fun(type,bool),
12.75/12.92	                                                     aa(type,bool),
12.75/12.92	                                                     app_encode_app(dB,
12.75/12.92	                                                                    fun(
12.75/12.92	                                                                    type,bool),
12.75/12.92	                                                                    app_encode_app(
12.75/12.92	                                                                    fun(
12.75/12.92	                                                                    nat,type),
12.75/12.92	                                                                    app_encode_fun(
12.75/12.92	                                                                    dB,
12.75/12.92	                                                                    fun(
12.75/12.92	                                                                    type,bool)),
12.75/12.92	                                                                    typing,E),
12.75/12.92	                                                                    app_encode_app(
12.75/12.92	                                                                    nat,dB,
12.75/12.92	                                                                    app_encode_app(
12.75/12.92	                                                                    dB,
12.75/12.92	                                                                    app_encode_fun(
12.75/12.92	                                                                    nat,dB),
12.75/12.92	                                                                    app_encode_app(
12.75/12.92	                                                                    dB,
12.75/12.92	                                                                    app_encode_fun(
12.75/12.92	                                                                    dB,
12.75/12.92	                                                                    app_encode_fun(
12.75/12.92	                                                                    nat,dB)),
12.75/12.92	                                                                    subst,Ta),
12.75/12.92	                                                                    Ub),Ib))),
12.75/12.92	                                      Ta1))))))).
12.75/12.92	tff('7', plain,
12.75/12.92	    ![X8 : fun(nat, type), X9 : dB, X10 : type, X11 : dB, X12 : nat, 
12.75/12.92	      X13 : type, X14 : fun(nat, type)]:
12.75/12.92	      (~ app_encode_app(bool, $o, pp, 
12.75/12.92	           app_encode_app(type, bool, 
12.75/12.92	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	               aa(type, bool), 
12.75/12.92	               app_encode_app(dB, fun(type, bool), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(dB, fun(type, bool)), typing, X8), X9)), 
12.75/12.92	             X10))
12.75/12.92	       | app_encode_app(bool, $o, pp, 
12.75/12.92	           app_encode_app(type, bool, 
12.75/12.92	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	               aa(type, bool), 
12.75/12.92	               app_encode_app(dB, fun(type, bool), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(dB, fun(type, bool)), typing, X8), 
12.75/12.92	                 app_encode_app(nat, dB, 
12.75/12.92	                   app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	                     app_encode_app(dB, 
12.75/12.92	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
12.75/12.92	                       X11), X9), X12))), X13))
12.75/12.92	       | ~ app_encode_app(bool, $o, pp, 
12.75/12.92	             app_encode_app(type, bool, 
12.75/12.92	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	                 aa(type, bool), 
12.75/12.92	                 app_encode_app(dB, fun(type, bool), 
12.75/12.92	                   app_encode_app(fun(nat, type), 
12.75/12.92	                     app_encode_fun(dB, fun(type, bool)), typing, X14), X11)), 
12.75/12.92	               X13))
12.75/12.92	       | X14
12.75/12.92	          != app_encode_app(type, fun(nat, type), 
12.75/12.92	               app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
12.75/12.92	                   shift(type), X8), X12), X10)),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_64])).
12.75/12.92	tff('8', plain,
12.75/12.92	    ![X8 : fun(nat, type), X9 : dB, X10 : type, X11 : dB, X12 : nat, 
12.75/12.92	      X13 : type]:
12.75/12.92	      (~ app_encode_app(bool, $o, pp, 
12.75/12.92	           app_encode_app(type, bool, 
12.75/12.92	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	               aa(type, bool), 
12.75/12.92	               app_encode_app(dB, fun(type, bool), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(dB, fun(type, bool)), typing, 
12.75/12.92	                   app_encode_app(type, fun(nat, type), 
12.75/12.92	                     app_encode_app(nat, 
12.75/12.92	                       app_encode_fun(type, fun(nat, type)), 
12.75/12.92	                       app_encode_app(fun(nat, type), 
12.75/12.92	                         app_encode_fun(nat, 
12.75/12.92	                           app_encode_fun(type, fun(nat, type))), 
12.75/12.92	                         shift(type), X8), X12), X10)), X11)), X13))
12.75/12.92	       | app_encode_app(bool, $o, pp, 
12.75/12.92	           app_encode_app(type, bool, 
12.75/12.92	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	               aa(type, bool), 
12.75/12.92	               app_encode_app(dB, fun(type, bool), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(dB, fun(type, bool)), typing, X8), 
12.75/12.92	                 app_encode_app(nat, dB, 
12.75/12.92	                   app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	                     app_encode_app(dB, 
12.75/12.92	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, 
12.75/12.92	                       X11), X9), X12))), X13))
12.75/12.92	       | ~ app_encode_app(bool, $o, pp, 
12.75/12.92	             app_encode_app(type, bool, 
12.75/12.92	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	                 aa(type, bool), 
12.75/12.92	                 app_encode_app(dB, fun(type, bool), 
12.75/12.92	                   app_encode_app(fun(nat, type), 
12.75/12.92	                     app_encode_fun(dB, fun(type, bool)), typing, X8), X9)), 
12.75/12.92	               X10))),
12.75/12.92	    inference('simplify', [status(thm)], ['7'])).
12.75/12.92	tff('9', plain,
12.75/12.92	    ![X0 : dB]:
12.75/12.92	      (~ $true
12.75/12.92	       | ~ app_encode_app(bool, $o, pp, 
12.75/12.92	             app_encode_app(type, bool, 
12.75/12.92	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	                 aa(type, bool), 
12.75/12.92	                 app_encode_app(dB, fun(type, bool), 
12.75/12.92	                   app_encode_app(fun(nat, type), 
12.75/12.92	                     app_encode_fun(dB, fun(type, bool)), typing, e), X0)), 
12.75/12.92	               t1))
12.75/12.92	       | app_encode_app(bool, $o, pp, 
12.75/12.92	           app_encode_app(type, bool, 
12.75/12.92	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	               aa(type, bool), 
12.75/12.92	               app_encode_app(dB, fun(type, bool), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(dB, fun(type, bool)), typing, e), 
12.75/12.92	                 app_encode_app(nat, dB, 
12.75/12.92	                   app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	                     app_encode_app(dB, 
12.75/12.92	                       app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
12.75/12.92	                     X0), i))), t))),
12.75/12.92	    inference('sup-', [status(thm)], ['6', '8'])).
12.75/12.92	tff('10', plain,
12.75/12.92	    ![X0 : dB]:
12.75/12.92	      (app_encode_app(bool, $o, pp, 
12.75/12.92	         app_encode_app(type, bool, 
12.75/12.92	           app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	             aa(type, bool), 
12.75/12.92	             app_encode_app(dB, fun(type, bool), 
12.75/12.92	               app_encode_app(fun(nat, type), 
12.75/12.92	                 app_encode_fun(dB, fun(type, bool)), typing, e), 
12.75/12.92	               app_encode_app(nat, dB, 
12.75/12.92	                 app_encode_app(dB, app_encode_fun(nat, dB), 
12.75/12.92	                   app_encode_app(dB, 
12.75/12.92	                     app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
12.75/12.92	                   X0), i))), t))
12.75/12.92	       | ~ app_encode_app(bool, $o, pp, 
12.75/12.92	             app_encode_app(type, bool, 
12.75/12.92	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	                 aa(type, bool), 
12.75/12.92	                 app_encode_app(dB, fun(type, bool), 
12.75/12.92	                   app_encode_app(fun(nat, type), 
12.75/12.92	                     app_encode_fun(dB, fun(type, bool)), typing, e), X0)), 
12.75/12.92	               t1))),
12.75/12.92	    inference('simplify', [status(thm)], ['9'])).
12.75/12.92	tff('11', plain,
12.75/12.92	    (app_encode_app(bool, $o, pp, fFalse)
12.75/12.92	     | ~ app_encode_app(bool, $o, pp, 
12.75/12.92	           app_encode_app(type, bool, 
12.75/12.92	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	               aa(type, bool), 
12.75/12.92	               app_encode_app(dB, fun(type, bool), 
12.75/12.92	                 app_encode_app(fun(nat, type), 
12.75/12.92	                   app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1))),
12.75/12.92	    inference('sup+', [status(thm)], ['5', '10'])).
12.75/12.92	tff(zf_stmt_56, axiom,
12.75/12.92	  (app_encode_app(bool,$o,pp,
12.75/12.92	                  app_encode_app(type,bool,
12.75/12.92	                                 app_encode_app(fun(type,bool),
12.75/12.92	                                                app_encode_fun(type,bool),
12.75/12.92	                                                aa(type,bool),
12.75/12.92	                                                app_encode_app(dB,
12.75/12.92	                                                               fun(type,bool),
12.75/12.92	                                                               app_encode_app(
12.75/12.92	                                                               fun(nat,type),
12.75/12.92	                                                               app_encode_fun(
12.75/12.92	                                                               dB,
12.75/12.92	                                                               fun(type,bool)),
12.75/12.92	                                                               typing,e),u)),
12.75/12.92	                                 t1)))).
12.75/12.92	tff('12', plain,
12.75/12.92	    app_encode_app(bool, $o, pp, 
12.75/12.92	      app_encode_app(type, bool, 
12.75/12.92	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	          aa(type, bool), 
12.75/12.92	          app_encode_app(dB, fun(type, bool), 
12.75/12.92	            app_encode_app(fun(nat, type), 
12.75/12.92	              app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_56])).
12.75/12.92	tff(zf_stmt_156, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
12.75/12.92	tff('13', plain, ~ app_encode_app(bool, $o, pp, fFalse),
12.75/12.92	    inference('cnf', [status(esa)], [zf_stmt_156])).
12.75/12.92	tff('14', plain,
12.75/12.92	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
12.75/12.92	    inference('sup-', [status(thm)], ['0', '13'])).
12.75/12.92	tff('15', plain,
12.75/12.92	    (~ $true
12.75/12.92	     | app_encode_app(type, bool, 
12.75/12.92	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	           aa(type, bool), 
12.75/12.92	           app_encode_app(dB, fun(type, bool), 
12.75/12.92	             app_encode_app(fun(nat, type), 
12.75/12.92	               app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)
12.75/12.92	        = fTrue),
12.75/12.92	    inference('sup-', [status(thm)], ['12', '14'])).
12.75/12.92	tff('16', plain,
12.75/12.92	    app_encode_app(type, bool, 
12.75/12.92	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
12.75/12.92	        aa(type, bool), 
12.75/12.92	        app_encode_app(dB, fun(type, bool), 
12.75/12.92	          app_encode_app(fun(nat, type), 
12.75/12.92	            app_encode_fun(dB, fun(type, bool)), typing, e), u)), t1)
12.75/12.92	     = fTrue,
12.75/12.92	    inference('simplify', [status(thm)], ['15'])).
12.75/12.92	tff('17', plain, (app_encode_app(bool, $o, pp, fFalse) | ~ $true),
12.75/12.92	    inference('demod', [status(thm)], ['11', '16', '1'])).
12.75/12.92	tff('18', plain, app_encode_app(bool, $o, pp, fFalse),
12.75/12.92	    inference('simplify', [status(thm)], ['17'])).
12.75/12.92	tff('19', plain, ~ $true, inference('sup-', [status(thm)], ['18', '13'])).
12.75/12.92	tff('20', plain, $false, inference('simplify', [status(thm)], ['19'])).
12.75/12.92	
12.75/12.92	% SZS output end Refutation
12.75/12.92	EOF
