0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n040.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:05:08 CST 2018
8.31/8.54	% done 1421 iterations in 8.339s
8.31/8.54	% SZS status Theorem for 'stdin'
8.31/8.54	% SZS output start Refutation
8.31/8.54	tff(zf_stmt_63, axiom,
8.31/8.54	  (app_encode_app(bool,$o,pp,
8.31/8.54	                  app_encode_app(type,bool,
8.31/8.54	                                 app_encode_app(fun(type,bool),
8.31/8.54	                                                app_encode_fun(type,bool),
8.31/8.54	                                                aa(type,bool),
8.31/8.54	                                                app_encode_app(dB,
8.31/8.54	                                                               fun(type,bool),
8.31/8.54	                                                               app_encode_app(
8.31/8.54	                                                               fun(nat,type),
8.31/8.54	                                                               app_encode_fun(
8.31/8.54	                                                               dB,
8.31/8.54	                                                               fun(type,bool)),
8.31/8.54	                                                               typing,
8.31/8.54	                                                               app_encode_app(
8.31/8.54	                                                               type,
8.31/8.54	                                                               fun(nat,type),
8.31/8.54	                                                               app_encode_app(
8.31/8.54	                                                               nat,
8.31/8.54	                                                               app_encode_fun(
8.31/8.54	                                                               type,
8.31/8.54	                                                               fun(nat,type)),
8.31/8.54	                                                               app_encode_app(
8.31/8.54	                                                               fun(nat,type),
8.31/8.54	                                                               app_encode_fun(
8.31/8.54	                                                               nat,
8.31/8.54	                                                               app_encode_fun(
8.31/8.54	                                                               type,
8.31/8.54	                                                               fun(nat,type))),
8.31/8.54	                                                               shift(type),e),
8.31/8.54	                                                               i),t)),a)),
8.31/8.54	                                 t2)))).
8.31/8.54	tff('0', plain,
8.31/8.54	    app_encode_app(bool, $o, pp, 
8.31/8.54	      app_encode_app(type, bool, 
8.31/8.54	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.54	          aa(type, bool), 
8.31/8.54	          app_encode_app(dB, fun(type, bool), 
8.31/8.54	            app_encode_app(fun(nat, type), 
8.31/8.54	              app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.54	              app_encode_app(type, fun(nat, type), 
8.31/8.54	                app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
8.31/8.54	                  app_encode_app(fun(nat, type), 
8.31/8.54	                    app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
8.31/8.54	                    shift(type), e), i), t)), a)), t2)),
8.31/8.54	    inference('cnf', [status(esa)], [zf_stmt_63])).
8.31/8.54	tff(zf_stmt_167, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
8.31/8.54	tff('1', plain, ![X350 : bool]: (X350 = fTrue | X350 = fFalse),
8.31/8.54	    inference('cnf', [status(esa)], [zf_stmt_167])).
8.31/8.54	tff(zf_stmt_157, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
8.31/8.54	tff('2', plain, ~ app_encode_app(bool, $o, pp, fFalse),
8.31/8.54	    inference('cnf', [status(esa)], [zf_stmt_157])).
8.31/8.54	tff('3', plain,
8.31/8.54	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
8.31/8.54	    inference('sup-', [status(thm)], ['1', '2'])).
8.31/8.54	tff('4', plain,
8.31/8.54	    (~ $true
8.31/8.54	     | app_encode_app(type, bool, 
8.31/8.54	         app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.54	           aa(type, bool), 
8.31/8.54	           app_encode_app(dB, fun(type, bool), 
8.31/8.54	             app_encode_app(fun(nat, type), 
8.31/8.54	               app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.54	               app_encode_app(type, fun(nat, type), 
8.31/8.54	                 app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
8.31/8.54	                   app_encode_app(fun(nat, type), 
8.31/8.54	                     app_encode_fun(nat, 
8.31/8.54	                       app_encode_fun(type, fun(nat, type))), shift(type), e), 
8.31/8.54	                   i), t)), a)), t2)
8.31/8.54	        = fTrue),
8.31/8.54	    inference('sup-', [status(thm)], ['0', '3'])).
8.31/8.54	tff('5', plain,
8.31/8.54	    app_encode_app(type, bool, 
8.31/8.54	      app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.54	        aa(type, bool), 
8.31/8.54	        app_encode_app(dB, fun(type, bool), 
8.31/8.54	          app_encode_app(fun(nat, type), 
8.31/8.54	            app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.54	            app_encode_app(type, fun(nat, type), 
8.31/8.54	              app_encode_app(nat, app_encode_fun(type, fun(nat, type)), 
8.31/8.54	                app_encode_app(fun(nat, type), 
8.31/8.54	                  app_encode_fun(nat, app_encode_fun(type, fun(nat, type))), 
8.31/8.54	                  shift(type), e), i), t)), a)), t2)
8.31/8.54	     = fTrue,
8.31/8.54	    inference('simplify', [status(thm)], ['4'])).
8.31/8.54	tff(zf_stmt_60, axiom,
8.31/8.54	  (app_encode_app(bool,$o,pp,
8.31/8.54	                  app_encode_app(type,bool,
8.31/8.54	                                 app_encode_app(fun(type,bool),
8.31/8.54	                                                app_encode_fun(type,bool),
8.31/8.54	                                                aa(type,bool),
8.31/8.54	                                                app_encode_app(dB,
8.31/8.54	                                                               fun(type,bool),
8.31/8.54	                                                               app_encode_app(
8.31/8.54	                                                               fun(nat,type),
8.31/8.54	                                                               app_encode_fun(
8.31/8.54	                                                               dB,
8.31/8.54	                                                               fun(type,bool)),
8.31/8.54	                                                               typing,e),u)),
8.31/8.54	                                 t)))).
8.31/8.54	tff('6', plain,
8.31/8.54	    app_encode_app(bool, $o, pp, 
8.31/8.54	      app_encode_app(type, bool, 
8.31/8.54	        app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.54	          aa(type, bool), 
8.31/8.54	          app_encode_app(dB, fun(type, bool), 
8.31/8.54	            app_encode_app(fun(nat, type), 
8.31/8.54	              app_encode_fun(dB, fun(type, bool)), typing, e), u)), t)),
8.31/8.54	    inference('cnf', [status(esa)], [zf_stmt_60])).
8.31/8.54	tff(zf_stmt_61, axiom,
8.31/8.54	  (![E1:fun(nat,type),T5:type,U3:dB,I1:nat]:
8.31/8.54	     (app_encode_app(bool,$o,pp,
8.31/8.54	                     app_encode_app(type,bool,
8.31/8.54	                                    app_encode_app(fun(type,bool),
8.31/8.54	                                                   app_encode_fun(type,bool),
8.31/8.54	                                                   aa(type,bool),
8.31/8.54	                                                   app_encode_app(dB,
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  type,bool),
8.31/8.54	                                                                  app_encode_app(
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  nat,type),
8.31/8.54	                                                                  app_encode_fun(
8.31/8.54	                                                                  dB,
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  type,bool)),
8.31/8.54	                                                                  typing,
8.31/8.54	                                                                  app_encode_app(
8.31/8.54	                                                                  type,
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  nat,type),
8.31/8.54	                                                                  app_encode_app(
8.31/8.54	                                                                  nat,
8.31/8.54	                                                                  app_encode_fun(
8.31/8.54	                                                                  type,
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  nat,type)),
8.31/8.54	                                                                  app_encode_app(
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  nat,type),
8.31/8.54	                                                                  app_encode_fun(
8.31/8.54	                                                                  nat,
8.31/8.54	                                                                  app_encode_fun(
8.31/8.54	                                                                  type,
8.31/8.54	                                                                  fun(
8.31/8.54	                                                                  nat,type))),
8.31/8.54	                                                                  shift(type),
8.31/8.54	                                                                  E1),I1),t)),
8.31/8.54	                                                                  a)),
8.31/8.54	                                    T5)) =>
8.31/8.54	      (app_encode_app(bool,$o,pp,
8.31/8.54	                      app_encode_app(dB,bool,
8.31/8.54	                                     app_encode_app(fun(dB,bool),
8.31/8.54	                                                    app_encode_fun(dB,bool),
8.31/8.54	                                                    aa(dB,bool),it),
8.31/8.54	                                     U3)) =>
8.31/8.54	       (app_encode_app(bool,$o,pp,
8.31/8.54	                       app_encode_app(type,bool,
8.31/8.54	                                      app_encode_app(fun(type,bool),
8.31/8.54	                                                     app_encode_fun(type,bool),
8.31/8.54	                                                     aa(type,bool),
8.31/8.54	                                                     app_encode_app(dB,
8.31/8.54	                                                                    fun(
8.31/8.54	                                                                    type,bool),
8.31/8.54	                                                                    app_encode_app(
8.31/8.54	                                                                    fun(
8.31/8.54	                                                                    nat,type),
8.31/8.54	                                                                    app_encode_fun(
8.31/8.54	                                                                    dB,
8.31/8.54	                                                                    fun(
8.31/8.54	                                                                    type,bool)),
8.31/8.54	                                                                    typing,E1),
8.31/8.54	                                                                    U3)),
8.31/8.54	                                      t)) =>
8.31/8.54	        app_encode_app(bool,$o,pp,
8.31/8.54	                       app_encode_app(dB,bool,
8.31/8.54	                                      app_encode_app(fun(dB,bool),
8.31/8.54	                                                     app_encode_fun(dB,bool),
8.31/8.54	                                                     aa(dB,bool),it),
8.31/8.54	                                      app_encode_app(nat,dB,
8.31/8.54	                                                     app_encode_app(dB,
8.31/8.54	                                                                    app_encode_fun(
8.31/8.54	                                                                    nat,dB),
8.31/8.54	                                                                    app_encode_app(
8.31/8.54	                                                                    dB,
8.31/8.54	                                                                    app_encode_fun(
8.31/8.54	                                                                    dB,
8.31/8.54	                                                                    app_encode_fun(
8.31/8.54	                                                                    nat,dB)),
8.31/8.54	                                                                    subst,a),
8.31/8.54	                                                                    U3),
8.31/8.54	                                                     I1)))))))).
8.31/8.54	tff('7', plain,
8.31/8.54	    ![X4 : dB, X5 : fun(nat, type), X6 : nat, X7 : type]:
8.31/8.54	      (~ app_encode_app(bool, $o, pp, 
8.31/8.54	           app_encode_app(dB, bool, 
8.31/8.54	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.54	               aa(dB, bool), it), X4))
8.31/8.54	       | ~ app_encode_app(bool, $o, pp, 
8.31/8.54	             app_encode_app(type, bool, 
8.31/8.54	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.54	                 aa(type, bool), 
8.31/8.54	                 app_encode_app(dB, fun(type, bool), 
8.31/8.54	                   app_encode_app(fun(nat, type), 
8.31/8.54	                     app_encode_fun(dB, fun(type, bool)), typing, X5), X4)), 
8.31/8.54	               t))
8.31/8.54	       | ~ app_encode_app(bool, $o, pp, 
8.31/8.54	             app_encode_app(type, bool, 
8.31/8.54	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.54	                 aa(type, bool), 
8.31/8.54	                 app_encode_app(dB, fun(type, bool), 
8.31/8.54	                   app_encode_app(fun(nat, type), 
8.31/8.54	                     app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.54	                     app_encode_app(type, fun(nat, type), 
8.31/8.54	                       app_encode_app(nat, 
8.31/8.54	                         app_encode_fun(type, fun(nat, type)), 
8.31/8.54	                         app_encode_app(fun(nat, type), 
8.31/8.54	                           app_encode_fun(nat, 
8.31/8.54	                             app_encode_fun(type, fun(nat, type))), 
8.31/8.54	                           shift(type), X5), X6), t)), a)), X7))
8.31/8.54	       | app_encode_app(bool, $o, pp, 
8.31/8.54	           app_encode_app(dB, bool, 
8.31/8.54	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.54	               aa(dB, bool), it), 
8.31/8.54	             app_encode_app(nat, dB, 
8.31/8.54	               app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.54	                 app_encode_app(dB, 
8.31/8.54	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), 
8.31/8.54	                 X4), X6)))),
8.31/8.54	    inference('cnf', [status(esa)], [zf_stmt_61])).
8.31/8.54	tff('8', plain,
8.31/8.54	    ![X0 : nat, X1 : type]:
8.31/8.54	      (~ $true
8.31/8.54	       | app_encode_app(bool, $o, pp, 
8.31/8.54	           app_encode_app(dB, bool, 
8.31/8.54	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.54	               aa(dB, bool), it), 
8.31/8.54	             app_encode_app(nat, dB, 
8.31/8.54	               app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.54	                 app_encode_app(dB, 
8.31/8.54	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
8.31/8.54	               X0)))
8.31/8.54	       | ~ app_encode_app(bool, $o, pp, 
8.31/8.55	             app_encode_app(type, bool, 
8.31/8.55	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.55	                 aa(type, bool), 
8.31/8.55	                 app_encode_app(dB, fun(type, bool), 
8.31/8.55	                   app_encode_app(fun(nat, type), 
8.31/8.55	                     app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.55	                     app_encode_app(type, fun(nat, type), 
8.31/8.55	                       app_encode_app(nat, 
8.31/8.55	                         app_encode_fun(type, fun(nat, type)), 
8.31/8.55	                         app_encode_app(fun(nat, type), 
8.31/8.55	                           app_encode_fun(nat, 
8.31/8.55	                             app_encode_fun(type, fun(nat, type))), 
8.31/8.55	                           shift(type), e), X0), t)), a)), X1))
8.31/8.55	       | ~ app_encode_app(bool, $o, pp, 
8.31/8.55	             app_encode_app(dB, bool, 
8.31/8.55	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	                 aa(dB, bool), it), u))),
8.31/8.55	    inference('sup-', [status(thm)], ['6', '7'])).
8.31/8.55	tff(zf_stmt_59, axiom,
8.31/8.55	  (app_encode_app(bool,$o,pp,
8.31/8.55	                  app_encode_app(dB,bool,
8.31/8.55	                                 app_encode_app(fun(dB,bool),
8.31/8.55	                                                app_encode_fun(dB,bool),
8.31/8.55	                                                aa(dB,bool),it),
8.31/8.55	                                 u)))).
8.31/8.55	tff('9', plain,
8.31/8.55	    app_encode_app(bool, $o, pp, 
8.31/8.55	      app_encode_app(dB, bool, 
8.31/8.55	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	          aa(dB, bool), it), u)),
8.31/8.55	    inference('cnf', [status(esa)], [zf_stmt_59])).
8.31/8.55	tff('10', plain,
8.31/8.55	    (~ $true
8.31/8.55	     | app_encode_app(dB, bool, 
8.31/8.55	         app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	           aa(dB, bool), it), u)
8.31/8.55	        = fTrue),
8.31/8.55	    inference('sup-', [status(thm)], ['9', '3'])).
8.31/8.55	tff('11', plain,
8.31/8.55	    app_encode_app(dB, bool, 
8.31/8.55	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
8.31/8.55	        it), u)
8.31/8.55	     = fTrue,
8.31/8.55	    inference('simplify', [status(thm)], ['10'])).
8.31/8.55	tff(zf_stmt_158, axiom, (app_encode_app(bool,$o,pp,fTrue))).
8.31/8.55	tff('12', plain, app_encode_app(bool, $o, pp, fTrue),
8.31/8.55	    inference('cnf', [status(esa)], [zf_stmt_158])).
8.31/8.55	tff('13', plain,
8.31/8.55	    ![X0 : nat, X1 : type]:
8.31/8.55	      (~ $true
8.31/8.55	       | app_encode_app(bool, $o, pp, 
8.31/8.55	           app_encode_app(dB, bool, 
8.31/8.55	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	               aa(dB, bool), it), 
8.31/8.55	             app_encode_app(nat, dB, 
8.31/8.55	               app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.55	                 app_encode_app(dB, 
8.31/8.55	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
8.31/8.55	               X0)))
8.31/8.55	       | ~ app_encode_app(bool, $o, pp, 
8.31/8.55	             app_encode_app(type, bool, 
8.31/8.55	               app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.55	                 aa(type, bool), 
8.31/8.55	                 app_encode_app(dB, fun(type, bool), 
8.31/8.55	                   app_encode_app(fun(nat, type), 
8.31/8.55	                     app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.55	                     app_encode_app(type, fun(nat, type), 
8.31/8.55	                       app_encode_app(nat, 
8.31/8.55	                         app_encode_fun(type, fun(nat, type)), 
8.31/8.55	                         app_encode_app(fun(nat, type), 
8.31/8.55	                           app_encode_fun(nat, 
8.31/8.55	                             app_encode_fun(type, fun(nat, type))), 
8.31/8.55	                           shift(type), e), X0), t)), a)), X1))
8.31/8.55	       | ~ $true),
8.31/8.55	    inference('demod', [status(thm)], ['8', '11', '12'])).
8.31/8.55	tff('14', plain,
8.31/8.55	    ![X0 : nat, X1 : type]:
8.31/8.55	      (~ app_encode_app(bool, $o, pp, 
8.31/8.55	           app_encode_app(type, bool, 
8.31/8.55	             app_encode_app(fun(type, bool), app_encode_fun(type, bool), 
8.31/8.55	               aa(type, bool), 
8.31/8.55	               app_encode_app(dB, fun(type, bool), 
8.31/8.55	                 app_encode_app(fun(nat, type), 
8.31/8.55	                   app_encode_fun(dB, fun(type, bool)), typing, 
8.31/8.55	                   app_encode_app(type, fun(nat, type), 
8.31/8.55	                     app_encode_app(nat, 
8.31/8.55	                       app_encode_fun(type, fun(nat, type)), 
8.31/8.55	                       app_encode_app(fun(nat, type), 
8.31/8.55	                         app_encode_fun(nat, 
8.31/8.55	                           app_encode_fun(type, fun(nat, type))), 
8.31/8.55	                         shift(type), e), X0), t)), a)), X1))
8.31/8.55	       | app_encode_app(bool, $o, pp, 
8.31/8.55	           app_encode_app(dB, bool, 
8.31/8.55	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	               aa(dB, bool), it), 
8.31/8.55	             app_encode_app(nat, dB, 
8.31/8.55	               app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.55	                 app_encode_app(dB, 
8.31/8.55	                   app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
8.31/8.55	               X0)))),
8.31/8.55	    inference('simplify', [status(thm)], ['13'])).
8.31/8.55	tff('15', plain,
8.31/8.55	    (~ app_encode_app(bool, $o, pp, fTrue)
8.31/8.55	     | app_encode_app(bool, $o, pp, 
8.31/8.55	         app_encode_app(dB, bool, 
8.31/8.55	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	             aa(dB, bool), it), 
8.31/8.55	           app_encode_app(nat, dB, 
8.31/8.55	             app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.55	               app_encode_app(dB, 
8.31/8.55	                 app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
8.31/8.55	             i)))),
8.31/8.55	    inference('sup-', [status(thm)], ['5', '14'])).
8.31/8.55	tff('16', plain,
8.31/8.55	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
8.31/8.55	    inference('sup+', [status(thm)], ['1', '12'])).
8.31/8.55	tff(zf_stmt_168, conjecture,
8.31/8.55	  (app_encode_app(bool,$o,pp,
8.31/8.55	                  app_encode_app(dB,bool,
8.31/8.55	                                 app_encode_app(fun(dB,bool),
8.31/8.55	                                                app_encode_fun(dB,bool),
8.31/8.55	                                                aa(dB,bool),it),
8.31/8.55	                                 app_encode_app(nat,dB,
8.31/8.55	                                                app_encode_app(dB,
8.31/8.55	                                                               app_encode_fun(
8.31/8.55	                                                               nat,dB),
8.31/8.55	                                                               app_encode_app(
8.31/8.55	                                                               dB,
8.31/8.55	                                                               app_encode_fun(
8.31/8.55	                                                               dB,
8.31/8.55	                                                               app_encode_fun(
8.31/8.55	                                                               nat,dB)),
8.31/8.55	                                                               subst,a),u),
8.31/8.55	                                                i))))).
8.31/8.55	tff(zf_stmt_0, negated_conjecture,
8.31/8.55	  (~
8.31/8.55	    app_encode_app(bool,$o,pp,
8.31/8.55	                   app_encode_app(dB,bool,
8.31/8.55	                                  app_encode_app(fun(dB,bool),
8.31/8.55	                                                 app_encode_fun(dB,bool),
8.31/8.55	                                                 aa(dB,bool),it),
8.31/8.55	                                  app_encode_app(nat,dB,
8.31/8.55	                                                 app_encode_app(dB,
8.31/8.55	                                                                app_encode_fun(
8.31/8.55	                                                                nat,dB),
8.31/8.55	                                                                app_encode_app(
8.31/8.55	                                                                dB,
8.31/8.55	                                                                app_encode_fun(
8.31/8.55	                                                                dB,
8.31/8.55	                                                                app_encode_fun(
8.31/8.55	                                                                nat,dB)),
8.31/8.55	                                                                subst,a),u),
8.31/8.55	                                                 i))))).
8.31/8.55	tff('17', plain,
8.31/8.55	    ~ app_encode_app(bool, $o, pp, 
8.31/8.55	        app_encode_app(dB, bool, 
8.31/8.55	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	            aa(dB, bool), it), 
8.31/8.55	          app_encode_app(nat, dB, 
8.31/8.55	            app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.55	              app_encode_app(dB, 
8.31/8.55	                app_encode_fun(dB, app_encode_fun(nat, dB)), subst, a), u), 
8.31/8.55	            i))),
8.31/8.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.31/8.55	tff('18', plain,
8.31/8.55	    (~ $true
8.31/8.55	     | app_encode_app(dB, bool, 
8.31/8.55	         app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
8.31/8.55	           aa(dB, bool), it), 
8.31/8.55	         app_encode_app(nat, dB, 
8.31/8.55	           app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.55	             app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
8.31/8.55	               subst, a), u), i))
8.31/8.55	        = fFalse),
8.31/8.55	    inference('sup-', [status(thm)], ['16', '17'])).
8.31/8.55	tff('19', plain,
8.31/8.55	    app_encode_app(dB, bool, 
8.31/8.55	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
8.31/8.55	        it), 
8.31/8.55	      app_encode_app(nat, dB, 
8.31/8.55	        app_encode_app(dB, app_encode_fun(nat, dB), 
8.31/8.55	          app_encode_app(dB, app_encode_fun(dB, app_encode_fun(nat, dB)), 
8.31/8.55	            subst, a), u), i))
8.31/8.55	     = fFalse,
8.31/8.55	    inference('simplify', [status(thm)], ['18'])).
8.31/8.55	tff('20', plain, (~ $true | app_encode_app(bool, $o, pp, fFalse)),
8.31/8.55	    inference('demod', [status(thm)], ['15', '12', '19'])).
8.31/8.55	tff('21', plain, app_encode_app(bool, $o, pp, fFalse),
8.31/8.55	    inference('simplify', [status(thm)], ['20'])).
8.31/8.55	tff('22', plain, ~ $true, inference('sup-', [status(thm)], ['21', '2'])).
8.31/8.55	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
8.31/8.55	
8.31/8.55	% SZS output end Refutation
8.31/8.55	EOF
