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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n186.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:05:08 CST 2018
7.89/8.06	% done 1335 iterations in 7.867s
7.89/8.06	% SZS status Theorem for 'stdin'
7.89/8.06	% SZS output start Refutation
7.89/8.07	tff(zf_stmt_62, axiom,
7.89/8.07	  (app_encode_app(bool,$o,pp,
7.89/8.07	                  app_encode_app(type,bool,
7.89/8.07	                                 app_encode_app(fun(type,bool),
7.89/8.07	                                                app_encode_fun(type,bool),
7.89/8.07	                                                aa(type,bool),
7.89/8.07	                                                app_encode_app(dB,
7.89/8.07	                                                               fun(type,bool),
7.89/8.07	                                                               app_encode_app(
7.89/8.07	                                                               fun(nat,type),
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               dB,
7.89/8.07	                                                               fun(type,bool)),
7.89/8.07	                                                               typing,
7.89/8.07	                                                               app_encode_app(
7.89/8.07	                                                               type,
7.89/8.07	                                                               fun(nat,type),
7.89/8.07	                                                               app_encode_app(
7.89/8.07	                                                               nat,
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               type,
7.89/8.07	                                                               fun(nat,type)),
7.89/8.07	                                                               app_encode_app(
7.89/8.07	                                                               fun(nat,type),
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               nat,
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               type,
7.89/8.07	                                                               fun(nat,type))),
7.89/8.07	                                                               shift(type),e),
7.89/8.07	                                                               i),t)),a)),
7.89/8.07	                                 t2)))).
7.89/8.07	tff('0', plain,
7.89/8.07	    app_encode_app(bool, $o, pp, 
7.89/8.07	      app_encode_app(type, bool, 
7.89/8.07	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	          aa(type, bool), 
7.89/8.07	          app_encode_app(dB, fun(type, bool), 
7.89/8.07	            app_encode_app(fun(nat, type), 
7.89/8.07	              app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	              app_encode_app(type, fun(nat, type), 
7.89/8.07	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                  app_encode_app(fun(nat, type), 
7.89/8.07	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
7.89/8.07	                    shift(type), e), i), t)), a)), t2)),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_62])).
7.89/8.07	tff(zf_stmt_166, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
7.89/8.07	tff('1', plain, ![X346 : bool]: (X346 = fTrue | X346 = fFalse),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_166])).
7.89/8.07	tff(zf_stmt_156, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
7.89/8.07	tff('2', plain, ~ app_encode_app(bool, $o, pp, fFalse),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_156])).
7.89/8.07	tff('3', plain,
7.89/8.07	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
7.89/8.07	    inference('sup-', [status(thm)], ['1', '2'])).
7.89/8.07	tff('4', plain,
7.89/8.07	    (~ $true
7.89/8.07	     | app_encode_app(type, bool, 
7.89/8.07	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	           aa(type, bool), 
7.89/8.07	           app_encode_app(dB, fun(type, bool), 
7.89/8.07	             app_encode_app(fun(nat, type), 
7.89/8.07	               app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	               app_encode_app(type, fun(nat, type), 
7.89/8.07	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                   app_encode_app(fun(nat, type), 
7.89/8.07	                     app_encode_fun(nat, 
7.89/8.07	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
7.89/8.07	                   i), t)), a)), t2)
7.89/8.07	        = fTrue),
7.89/8.07	    inference('sup-', [status(thm)], ['0', '3'])).
7.89/8.07	tff('5', plain,
7.89/8.07	    app_encode_app(type, bool, 
7.89/8.07	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	        aa(type, bool), 
7.89/8.07	        app_encode_app(dB, fun(type, bool), 
7.89/8.07	          app_encode_app(fun(nat, type), 
7.89/8.07	            app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	            app_encode_app(type, fun(nat, type), 
7.89/8.07	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                app_encode_app(fun(nat, type), 
7.89/8.07	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
7.89/8.07	                  shift(type), e), i), t)), a)), t2)
7.89/8.07	     = fTrue,
7.89/8.07	    inference('simplify', [status(thm)], ['4'])).
7.89/8.07	tff(zf_stmt_59, axiom,
7.89/8.07	  (app_encode_app(bool,$o,pp,
7.89/8.07	                  app_encode_app(type,bool,
7.89/8.07	                                 app_encode_app(fun(type,bool),
7.89/8.07	                                                app_encode_fun(type,bool),
7.89/8.07	                                                aa(type,bool),
7.89/8.07	                                                app_encode_app(dB,
7.89/8.07	                                                               fun(type,bool),
7.89/8.07	                                                               app_encode_app(
7.89/8.07	                                                               fun(nat,type),
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               dB,
7.89/8.07	                                                               fun(type,bool)),
7.89/8.07	                                                               typing,e),u)),
7.89/8.07	                                 t)))).
7.89/8.07	tff('6', plain,
7.89/8.07	    app_encode_app(bool, $o, pp, 
7.89/8.07	      app_encode_app(type, bool, 
7.89/8.07	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	          aa(type, bool), 
7.89/8.07	          app_encode_app(dB, fun(type, bool), 
7.89/8.07	            app_encode_app(fun(nat, type), 
7.89/8.07	              app_encode_fun(dB, fun(type, bool)), typing, e), u)), t)),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_59])).
7.89/8.07	tff(zf_stmt_60, axiom,
7.89/8.07	  (![E1:fun(nat,type),T5:type,U3:dB,I1:nat]:
7.89/8.07	     (app_encode_app(bool,$o,pp,
7.89/8.07	                     app_encode_app(type,bool,
7.89/8.07	                                    app_encode_app(fun(type,bool),
7.89/8.07	                                                   app_encode_fun(type,bool),
7.89/8.07	                                                   aa(type,bool),
7.89/8.07	                                                   app_encode_app(dB,
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  type,bool),
7.89/8.07	                                                                  app_encode_app(
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  nat,type),
7.89/8.07	                                                                  app_encode_fun(
7.89/8.07	                                                                  dB,
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  type,bool)),
7.89/8.07	                                                                  typing,
7.89/8.07	                                                                  app_encode_app(
7.89/8.07	                                                                  type,
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  nat,type),
7.89/8.07	                                                                  app_encode_app(
7.89/8.07	                                                                  nat,
7.89/8.07	                                                                  app_encode_fun(
7.89/8.07	                                                                  type,
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  nat,type)),
7.89/8.07	                                                                  app_encode_app(
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  nat,type),
7.89/8.07	                                                                  app_encode_fun(
7.89/8.07	                                                                  nat,
7.89/8.07	                                                                  app_encode_fun(
7.89/8.07	                                                                  type,
7.89/8.07	                                                                  fun(
7.89/8.07	                                                                  nat,type))),
7.89/8.07	                                                                  shift(type),
7.89/8.07	                                                                  E1),I1),t)),
7.89/8.07	                                                                  a)),
7.89/8.07	                                    T5)) =>
7.89/8.07	      (app_encode_app(bool,$o,pp,
7.89/8.07	                      app_encode_app(dB,bool,
7.89/8.07	                                     app_encode_app(fun(dB,bool),
7.89/8.07	                                                    app_encode_fun(dB,bool),
7.89/8.07	                                                    aa(dB,bool),it),
7.89/8.07	                                     U3)) =>
7.89/8.07	       (app_encode_app(bool,$o,pp,
7.89/8.07	                       app_encode_app(type,bool,
7.89/8.07	                                      app_encode_app(fun(type,bool),
7.89/8.07	                                                     app_encode_fun(type,bool),
7.89/8.07	                                                     aa(type,bool),
7.89/8.07	                                                     app_encode_app(dB,
7.89/8.07	                                                                    fun(
7.89/8.07	                                                                    type,bool),
7.89/8.07	                                                                    app_encode_app(
7.89/8.07	                                                                    fun(
7.89/8.07	                                                                    nat,type),
7.89/8.07	                                                                    app_encode_fun(
7.89/8.07	                                                                    dB,
7.89/8.07	                                                                    fun(
7.89/8.07	                                                                    type,bool)),
7.89/8.07	                                                                    typing,E1),
7.89/8.07	                                                                    U3)),
7.89/8.07	                                      t)) =>
7.89/8.07	        app_encode_app(bool,$o,pp,
7.89/8.07	                       app_encode_app(dB,bool,
7.89/8.07	                                      app_encode_app(fun(dB,bool),
7.89/8.07	                                                     app_encode_fun(dB,bool),
7.89/8.07	                                                     aa(dB,bool),it),
7.89/8.07	                                      app_encode_app(nat,dB,
7.89/8.07	                                                     app_encode_app(dB,
7.89/8.07	                                                                    app_encode_fun(
7.89/8.07	                                                                    nat,dB),
7.89/8.07	                                                                    app_encode_app(
7.89/8.07	                                                                    dB,
7.89/8.07	                                                                    app_encode_fun(
7.89/8.07	                                                                    dB,
7.89/8.07	                                                                    app_encode_fun(
7.89/8.07	                                                                    nat,dB)),
7.89/8.07	                                                                    subst,a),
7.89/8.07	                                                                    U3),
7.89/8.07	                                                     I1)))))))).
7.89/8.07	tff('7', plain,
7.89/8.07	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
7.89/8.07	      (~ app_encode_app(bool, $o, pp, 
7.89/8.07	           app_encode_app(dB, bool, 
7.89/8.07	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	               aa(dB, bool), it), X0))
7.89/8.07	       | ~ app_encode_app(bool, $o, pp, 
7.89/8.07	             app_encode_app(type, bool, 
7.89/8.07	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	                 aa(type, bool), 
7.89/8.07	                 app_encode_app(dB, fun(type, bool), 
7.89/8.07	                   app_encode_app(fun(nat, type), 
7.89/8.07	                     app_encode_fun(dB, fun(type, bool)), typing, X1), X0)), 
7.89/8.07	               t))
7.89/8.07	       | ~ app_encode_app(bool, $o, pp, 
7.89/8.07	             app_encode_app(type, bool, 
7.89/8.07	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	                 aa(type, bool), 
7.89/8.07	                 app_encode_app(dB, fun(type, bool), 
7.89/8.07	                   app_encode_app(fun(nat, type), 
7.89/8.07	                     app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	                     app_encode_app(type, fun(nat, type), 
7.89/8.07	                       app_encode_app(nat, 
7.89/8.07	                         app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                         app_encode_app(fun(nat, type), 
7.89/8.07	                           app_encode_fun(nat, 
7.89/8.07	                             app_encode_fun(type, fun(nat, type))), 
7.89/8.07	                           shift(type), X1), X2), t)), a)), X3))
7.89/8.07	       | app_encode_app(bool, $o, pp, 
7.89/8.07	           app_encode_app(dB, bool, 
7.89/8.07	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	               aa(dB, bool), it), 
7.89/8.07	             app_encode_app(nat, dB, 
7.89/8.07	               app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	                 app_encode_app(dB, 
7.89/8.07	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
7.89/8.07	                 X0), X2)))),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_60])).
7.89/8.07	tff('8', plain,
7.89/8.07	    ![X0 : nat, X1 : type]:
7.89/8.07	      (~ $true
7.89/8.07	       | app_encode_app(bool, $o, pp, 
7.89/8.07	           app_encode_app(dB, bool, 
7.89/8.07	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	               aa(dB, bool), it), 
7.89/8.07	             app_encode_app(nat, dB, 
7.89/8.07	               app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	                 app_encode_app(dB, 
7.89/8.07	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
7.89/8.07	               X0)))
7.89/8.07	       | ~ app_encode_app(bool, $o, pp, 
7.89/8.07	             app_encode_app(type, bool, 
7.89/8.07	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	                 aa(type, bool), 
7.89/8.07	                 app_encode_app(dB, fun(type, bool), 
7.89/8.07	                   app_encode_app(fun(nat, type), 
7.89/8.07	                     app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	                     app_encode_app(type, fun(nat, type), 
7.89/8.07	                       app_encode_app(nat, 
7.89/8.07	                         app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                         app_encode_app(fun(nat, type), 
7.89/8.07	                           app_encode_fun(nat, 
7.89/8.07	                             app_encode_fun(type, fun(nat, type))), 
7.89/8.07	                           shift(type), e), X0), t)), a)), X1))
7.89/8.07	       | ~ app_encode_app(bool, $o, pp, 
7.89/8.07	             app_encode_app(dB, bool, 
7.89/8.07	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	                 aa(dB, bool), it), u))),
7.89/8.07	    inference('sup-', [status(thm)], ['6', '7'])).
7.89/8.07	tff(zf_stmt_58, axiom,
7.89/8.07	  (app_encode_app(bool,$o,pp,
7.89/8.07	                  app_encode_app(dB,bool,
7.89/8.07	                                 app_encode_app(fun(dB,bool),
7.89/8.07	                                                app_encode_fun(dB,bool),
7.89/8.07	                                                aa(dB,bool),it),
7.89/8.07	                                 u)))).
7.89/8.07	tff('9', plain,
7.89/8.07	    app_encode_app(bool, $o, pp, 
7.89/8.07	      app_encode_app(dB, bool, 
7.89/8.07	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	          aa(dB, bool), it), u)),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_58])).
7.89/8.07	tff('10', plain,
7.89/8.07	    (~ $true
7.89/8.07	     | app_encode_app(dB, bool, 
7.89/8.07	         app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	           aa(dB, bool), it), u)
7.89/8.07	        = fTrue),
7.89/8.07	    inference('sup-', [status(thm)], ['9', '3'])).
7.89/8.07	tff('11', plain,
7.89/8.07	    app_encode_app(dB, bool, 
7.89/8.07	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
7.89/8.07	        it), u)
7.89/8.07	     = fTrue,
7.89/8.07	    inference('simplify', [status(thm)], ['10'])).
7.89/8.07	tff(zf_stmt_157, axiom, (app_encode_app(bool,$o,pp,fTrue))).
7.89/8.07	tff('12', plain, app_encode_app(bool, $o, pp, fTrue),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_157])).
7.89/8.07	tff('13', plain,
7.89/8.07	    ![X0 : nat, X1 : type]:
7.89/8.07	      (~ $true
7.89/8.07	       | app_encode_app(bool, $o, pp, 
7.89/8.07	           app_encode_app(dB, bool, 
7.89/8.07	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	               aa(dB, bool), it), 
7.89/8.07	             app_encode_app(nat, dB, 
7.89/8.07	               app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	                 app_encode_app(dB, 
7.89/8.07	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
7.89/8.07	               X0)))
7.89/8.07	       | ~ app_encode_app(bool, $o, pp, 
7.89/8.07	             app_encode_app(type, bool, 
7.89/8.07	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	                 aa(type, bool), 
7.89/8.07	                 app_encode_app(dB, fun(type, bool), 
7.89/8.07	                   app_encode_app(fun(nat, type), 
7.89/8.07	                     app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	                     app_encode_app(type, fun(nat, type), 
7.89/8.07	                       app_encode_app(nat, 
7.89/8.07	                         app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                         app_encode_app(fun(nat, type), 
7.89/8.07	                           app_encode_fun(nat, 
7.89/8.07	                             app_encode_fun(type, fun(nat, type))), 
7.89/8.07	                           shift(type), e), X0), t)), a)), X1))
7.89/8.07	       | ~ $true),
7.89/8.07	    inference('demod', [status(thm)], ['8', '11', '12'])).
7.89/8.07	tff('14', plain,
7.89/8.07	    ![X0 : nat, X1 : type]:
7.89/8.07	      (~ app_encode_app(bool, $o, pp, 
7.89/8.07	           app_encode_app(type, bool, 
7.89/8.07	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
7.89/8.07	               aa(type, bool), 
7.89/8.07	               app_encode_app(dB, fun(type, bool), 
7.89/8.07	                 app_encode_app(fun(nat, type), 
7.89/8.07	                   app_encode_fun(dB, fun(type, bool)), typing, 
7.89/8.07	                   app_encode_app(type, fun(nat, type), 
7.89/8.07	                     app_encode_app(nat, 
7.89/8.07	                       app_encode_fun(type, fun(nat, type)), 
7.89/8.07	                       app_encode_app(fun(nat, type), 
7.89/8.07	                         app_encode_fun(nat, 
7.89/8.07	                           app_encode_fun(type, fun(nat, type))), 
7.89/8.07	                         shift(type), e), X0), t)), a)), X1))
7.89/8.07	       | app_encode_app(bool, $o, pp, 
7.89/8.07	           app_encode_app(dB, bool, 
7.89/8.07	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	               aa(dB, bool), it), 
7.89/8.07	             app_encode_app(nat, dB, 
7.89/8.07	               app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	                 app_encode_app(dB, 
7.89/8.07	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
7.89/8.07	               X0)))),
7.89/8.07	    inference('simplify', [status(thm)], ['13'])).
7.89/8.07	tff('15', plain,
7.89/8.07	    (~ app_encode_app(bool, $o, pp, fTrue)
7.89/8.07	     | app_encode_app(bool, $o, pp, 
7.89/8.07	         app_encode_app(dB, bool, 
7.89/8.07	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	             aa(dB, bool), it), 
7.89/8.07	           app_encode_app(nat, dB, 
7.89/8.07	             app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	               app_encode_app(dB, 
7.89/8.07	                 app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
7.89/8.07	             i)))),
7.89/8.07	    inference('sup-', [status(thm)], ['5', '14'])).
7.89/8.07	tff('16', plain,
7.89/8.07	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
7.89/8.07	    inference('sup+', [status(thm)], ['1', '12'])).
7.89/8.07	tff(zf_stmt_167, conjecture,
7.89/8.07	  (app_encode_app(bool,$o,pp,
7.89/8.07	                  app_encode_app(dB,bool,
7.89/8.07	                                 app_encode_app(fun(dB,bool),
7.89/8.07	                                                app_encode_fun(dB,bool),
7.89/8.07	                                                aa(dB,bool),it),
7.89/8.07	                                 app_encode_app(nat,dB,
7.89/8.07	                                                app_encode_app(dB,
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               nat,dB),
7.89/8.07	                                                               app_encode_app(
7.89/8.07	                                                               dB,
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               dB,
7.89/8.07	                                                               app_encode_fun(
7.89/8.07	                                                               nat,dB)),
7.89/8.07	                                                               subst,a),u),
7.89/8.07	                                                i))))).
7.89/8.07	tff(zf_stmt_0, negated_conjecture,
7.89/8.07	  (~
7.89/8.07	    app_encode_app(bool,$o,pp,
7.89/8.07	                   app_encode_app(dB,bool,
7.89/8.07	                                  app_encode_app(fun(dB,bool),
7.89/8.07	                                                 app_encode_fun(dB,bool),
7.89/8.07	                                                 aa(dB,bool),it),
7.89/8.07	                                  app_encode_app(nat,dB,
7.89/8.07	                                                 app_encode_app(dB,
7.89/8.07	                                                                app_encode_fun(
7.89/8.07	                                                                nat,dB),
7.89/8.07	                                                                app_encode_app(
7.89/8.07	                                                                dB,
7.89/8.07	                                                                app_encode_fun(
7.89/8.07	                                                                dB,
7.89/8.07	                                                                app_encode_fun(
7.89/8.07	                                                                nat,dB)),
7.89/8.07	                                                                subst,a),u),
7.89/8.07	                                                 i))))).
7.89/8.07	tff('17', plain,
7.89/8.07	    ~ app_encode_app(bool, $o, pp, 
7.89/8.07	        app_encode_app(dB, bool, 
7.89/8.07	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	            aa(dB, bool), it), 
7.89/8.07	          app_encode_app(nat, dB, 
7.89/8.07	            app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	              app_encode_app(dB, 
7.89/8.07	                app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
7.89/8.07	            i))),
7.89/8.07	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.89/8.07	tff('18', plain,
7.89/8.07	    (~ $true
7.89/8.07	     | app_encode_app(dB, bool, 
7.89/8.07	         app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
7.89/8.07	           aa(dB, bool), it), 
7.89/8.07	         app_encode_app(nat, dB, 
7.89/8.07	           app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	             app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
7.89/8.07	               subst, a), u), i))
7.89/8.07	        = fFalse),
7.89/8.07	    inference('sup-', [status(thm)], ['16', '17'])).
7.89/8.07	tff('19', plain,
7.89/8.07	    app_encode_app(dB, bool, 
7.89/8.07	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
7.89/8.07	        it), 
7.89/8.07	      app_encode_app(nat, dB, 
7.89/8.07	        app_encode_app(dB, app_encode_fun(nat, dB), 
7.89/8.07	          app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
7.89/8.07	            subst, a), u), i))
7.89/8.07	     = fFalse,
7.89/8.07	    inference('simplify', [status(thm)], ['18'])).
7.89/8.07	tff('20', plain, (~ $true | app_encode_app(bool, $o, pp, fFalse)),
7.89/8.07	    inference('demod', [status(thm)], ['15', '12', '19'])).
7.89/8.07	tff('21', plain, app_encode_app(bool, $o, pp, fFalse),
7.89/8.07	    inference('simplify', [status(thm)], ['20'])).
7.89/8.07	tff('22', plain, ~ $true, inference('sup-', [status(thm)], ['21', '2'])).
7.89/8.07	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
7.89/8.07	
7.89/8.07	% SZS output end Refutation
7.89/8.07	EOF
