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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n042.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:06:09 CST 2018
5.44/5.63	% done 2191 iterations in 5.427s
5.44/5.63	% SZS status Theorem for 'stdin'
5.44/5.63	% SZS output start Refutation
5.44/5.63	tff(zf_stmt_159, axiom, (app_encode_app(bool,$o,pp,fTrue))).
5.44/5.63	tff('0', plain, app_encode_app(bool, $o, pp, fTrue),
5.44/5.63	    inference('cnf', [status(esa)], [zf_stmt_159])).
5.44/5.63	tff(zf_stmt_166, axiom, (![P:bool]: ((P = fTrue) | (P = fFalse)))).
5.44/5.63	tff('1', plain, ![X263 : bool]: (X263 = fTrue | X263 = fFalse),
5.44/5.63	    inference('cnf', [status(esa)], [zf_stmt_166])).
5.44/5.63	tff('2', plain,
5.44/5.63	    ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fFalse | X1 = fFalse),
5.44/5.63	    inference('sup+', [status(thm)], ['1', '1'])).
5.44/5.63	tff(zf_stmt_62, axiom,
5.44/5.63	  (![I:nat,T:dB]:
5.44/5.63	     (app_encode_app(bool,$o,pp,
5.44/5.63	                     app_encode_app(dB,bool,
5.44/5.63	                                    app_encode_app(fun(dB,bool),
5.44/5.63	                                                   app_encode_fun(dB,bool),
5.44/5.63	                                                   aa(dB,bool),it),
5.44/5.63	                                    T)) =>
5.44/5.63	      app_encode_app(bool,$o,pp,
5.44/5.63	                     app_encode_app(dB,bool,
5.44/5.63	                                    app_encode_app(fun(dB,bool),
5.44/5.63	                                                   app_encode_fun(dB,bool),
5.44/5.63	                                                   aa(dB,bool),it),
5.44/5.63	                                    app_encode_app(nat,dB,
5.44/5.63	                                                   app_encode_app(fun(nat,dB),
5.44/5.63	                                                                  app_encode_fun(
5.44/5.63	                                                                  nat,dB),
5.44/5.63	                                                                  aa(nat,dB),
5.44/5.63	                                                                  app_encode_app(
5.44/5.63	                                                                  dB,
5.44/5.63	                                                                  fun(nat,dB),
5.44/5.63	                                                                  app_encode_app(
5.44/5.63	                                                                  fun(
5.44/5.63	                                                                  dB,
5.44/5.63	                                                                  fun(nat,dB)),
5.44/5.63	                                                                  app_encode_fun(
5.44/5.63	                                                                  dB,
5.44/5.63	                                                                  fun(nat,dB)),
5.44/5.63	                                                                  aa(
5.44/5.63	                                                                  dB,
5.44/5.63	                                                                  fun(nat,dB)),
5.44/5.63	                                                                  lift),T)),
5.44/5.63	                                                   I)))))).
5.44/5.63	tff('3', plain,
5.44/5.63	    ![X4 : dB, X5 : nat]:
5.44/5.63	      (app_encode_app(bool, $o, pp, 
5.44/5.63	         app_encode_app(dB, bool, 
5.44/5.63	           app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	             aa(dB, bool), it), 
5.44/5.63	           app_encode_app(nat, dB, 
5.44/5.63	             app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
5.44/5.63	               aa(nat, dB), 
5.44/5.63	               app_encode_app(dB, fun(nat, dB), 
5.44/5.63	                 app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.63	                   app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
5.44/5.63	                   lift), X4)), X5)))
5.44/5.63	       | ~ app_encode_app(bool, $o, pp, 
5.44/5.63	             app_encode_app(dB, bool, 
5.44/5.63	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	                 aa(dB, bool), it), X4))),
5.44/5.63	    inference('cnf', [status(esa)], [zf_stmt_62])).
5.44/5.63	tff('4', plain,
5.44/5.63	    ![X0 : nat, X1 : dB, X2 : bool]:
5.44/5.63	      (app_encode_app(bool, $o, pp, fFalse)
5.44/5.63	       | X2 = fFalse
5.44/5.63	       | X2
5.44/5.63	          = app_encode_app(dB, bool, 
5.44/5.63	              app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	                aa(dB, bool), it), 
5.44/5.63	              app_encode_app(nat, dB, 
5.44/5.63	                app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
5.44/5.63	                  aa(nat, dB), 
5.44/5.63	                  app_encode_app(dB, fun(nat, dB), 
5.44/5.63	                    app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.63	                      app_encode_fun(dB, fun(nat, dB)), 
5.44/5.63	                      aa(dB, fun(nat, dB)), lift), X1)), X0))
5.44/5.63	       | ~ app_encode_app(bool, $o, pp, 
5.44/5.63	             app_encode_app(dB, bool, 
5.44/5.63	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	                 aa(dB, bool), it), X1))),
5.44/5.63	    inference('sup+', [status(thm)], ['2', '3'])).
5.44/5.63	tff(zf_stmt_161, axiom,
5.44/5.63	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
5.44/5.63	     (app_encode_app(A,C,
5.44/5.63	                     app_encode_app(fun(A,C),app_encode_fun(A,C),aa(A,C),
5.44/5.63	                                    app_encode_app(B,fun(A,C),
5.44/5.63	                                                   app_encode_app(fun(
5.44/5.63	                                                                  A,fun(B,C)),
5.44/5.63	                                                                  app_encode_fun(
5.44/5.63	                                                                  B,fun(A,C)),
5.44/5.63	                                                                  combc(
5.44/5.63	                                                                  A,B,C),P),
5.44/5.63	                                                   Q)),
5.44/5.63	                     R) =
5.44/5.63	      app_encode_app(B,C,
5.44/5.63	                     app_encode_app(fun(B,C),app_encode_fun(B,C),aa(B,C),
5.44/5.63	                                    app_encode_app(A,fun(B,C),
5.44/5.63	                                                   app_encode_app(fun(
5.44/5.63	                                                                  A,fun(B,C)),
5.44/5.63	                                                                  app_encode_fun(
5.44/5.63	                                                                  A,fun(B,C)),
5.44/5.63	                                                                  aa(
5.44/5.63	                                                                  A,fun(B,C)),
5.44/5.63	                                                                  P),
5.44/5.63	                                                   R)),
5.44/5.63	                     Q)))).
5.44/5.63	tff('5', plain,
5.44/5.63	    ![X245 : $tType, X246 : $tType, X247 : $tType, 
5.44/5.63	      X248 : fun(X247, fun(X245, X246)), X249 : X247, X250 : X245]:
5.44/5.63	      app_encode_app(X247, X246, 
5.44/5.63	        app_encode_app(fun(X247, X246), app_encode_fun(X247, X246), 
5.44/5.63	          aa(X247, X246), 
5.44/5.63	          app_encode_app(X245, fun(X247, X246), 
5.44/5.63	            app_encode_app(fun(X247, fun(X245, X246)), 
5.44/5.63	              app_encode_fun(X245, fun(X247, X246)), 
5.44/5.63	              combc(X247, X245, X246), X248), X250)), X249)
5.44/5.63	       = app_encode_app(X245, X246, 
5.44/5.63	           app_encode_app(fun(X245, X246), app_encode_fun(X245, X246), 
5.44/5.63	             aa(X245, X246), 
5.44/5.63	             app_encode_app(X247, fun(X245, X246), 
5.44/5.63	               app_encode_app(fun(X247, fun(X245, X246)), 
5.44/5.63	                 app_encode_fun(X247, fun(X245, X246)), 
5.44/5.63	                 aa(X247, fun(X245, X246)), X248), X249)), X250),
5.44/5.63	    inference('cnf', [status(esa)], [zf_stmt_161])).
5.44/5.63	tff('6', plain,
5.44/5.63	    ![X0 : nat, X1 : dB, X2 : bool]:
5.44/5.63	      (app_encode_app(bool, $o, pp, fFalse)
5.44/5.63	       | X2 = fFalse
5.44/5.63	       | X2
5.44/5.63	          = app_encode_app(dB, bool, 
5.44/5.63	              app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	                aa(dB, bool), it), 
5.44/5.63	              app_encode_app(dB, dB, 
5.44/5.63	                app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
5.44/5.63	                  aa(dB, dB), 
5.44/5.63	                  app_encode_app(nat, fun(dB, dB), 
5.44/5.63	                    app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.63	                      app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
5.44/5.63	                      lift), X0)), X1))
5.44/5.63	       | ~ app_encode_app(bool, $o, pp, 
5.44/5.63	             app_encode_app(dB, bool, 
5.44/5.63	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	                 aa(dB, bool), it), X1))),
5.44/5.63	    inference('demod', [status(thm)], ['4', '5'])).
5.44/5.63	tff(zf_stmt_158, axiom, (~app_encode_app(bool,$o,pp,fFalse))).
5.44/5.63	tff('7', plain, ~ app_encode_app(bool, $o, pp, fFalse),
5.44/5.63	    inference('cnf', [status(esa)], [zf_stmt_158])).
5.44/5.63	tff('8', plain,
5.44/5.63	    ![X0 : nat, X1 : dB, X2 : bool]:
5.44/5.63	      (~ app_encode_app(bool, $o, pp, 
5.44/5.63	           app_encode_app(dB, bool, 
5.44/5.63	             app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	               aa(dB, bool), it), X1))
5.44/5.63	       | X2
5.44/5.63	          = app_encode_app(dB, bool, 
5.44/5.63	              app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	                aa(dB, bool), it), 
5.44/5.63	              app_encode_app(dB, dB, 
5.44/5.63	                app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
5.44/5.63	                  aa(dB, dB), 
5.44/5.63	                  app_encode_app(nat, fun(dB, dB), 
5.44/5.63	                    app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.63	                      app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
5.44/5.63	                      lift), X0)), X1))
5.44/5.63	       | X2 = fFalse),
5.44/5.63	    inference('clc', [status(thm)], ['6', '7'])).
5.44/5.63	tff(zf_stmt_172, conjecture,
5.44/5.63	  (app_encode_app(bool,$o,pp,
5.44/5.63	                  app_encode_app(dB,bool,
5.44/5.63	                                 app_encode_app(fun(dB,bool),
5.44/5.63	                                                app_encode_fun(dB,bool),
5.44/5.63	                                                aa(dB,bool),it),
5.44/5.63	                                 app_encode_app(nat,dB,
5.44/5.63	                                                app_encode_app(fun(nat,dB),
5.44/5.63	                                                               app_encode_fun(
5.44/5.63	                                                               nat,dB),
5.44/5.63	                                                               aa(nat,dB),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               dB,
5.44/5.63	                                                               fun(nat,dB),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               fun(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB)),
5.44/5.63	                                                               app_encode_fun(
5.44/5.63	                                                               dB,fun(nat,dB)),
5.44/5.63	                                                               aa(dB,
5.44/5.63	                                                                  fun(nat,dB)),
5.44/5.63	                                                               lift),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               nat,dB,
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               fun(nat,dB),
5.44/5.63	                                                               app_encode_fun(
5.44/5.63	                                                               nat,dB),
5.44/5.63	                                                               aa(nat,dB),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               dB,
5.44/5.63	                                                               fun(nat,dB),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               fun(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB)),
5.44/5.63	                                                               app_encode_fun(
5.44/5.63	                                                               dB,fun(nat,dB)),
5.44/5.63	                                                               aa(dB,
5.44/5.63	                                                                  fun(nat,dB)),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               dB,
5.44/5.63	                                                               fun(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB)),
5.44/5.63	                                                               app_encode_app(
5.44/5.63	                                                               fun(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB))),
5.44/5.63	                                                               app_encode_fun(
5.44/5.63	                                                               dB,
5.44/5.63	                                                               fun(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB))),
5.44/5.63	                                                               aa(dB,
5.44/5.63	                                                                  fun(
5.44/5.63	                                                                  dB,
5.44/5.63	                                                                  fun(nat,dB))),
5.44/5.63	                                                               subst),b)),u)),
5.44/5.63	                                                               i))),
5.44/5.63	                                                zero_zero(nat)))))).
5.44/5.63	tff(zf_stmt_0, negated_conjecture,
5.44/5.63	  (~
5.44/5.63	    app_encode_app(bool,$o,pp,
5.44/5.63	                   app_encode_app(dB,bool,
5.44/5.63	                                  app_encode_app(fun(dB,bool),
5.44/5.63	                                                 app_encode_fun(dB,bool),
5.44/5.63	                                                 aa(dB,bool),it),
5.44/5.63	                                  app_encode_app(nat,dB,
5.44/5.63	                                                 app_encode_app(fun(nat,dB),
5.44/5.63	                                                                app_encode_fun(
5.44/5.63	                                                                nat,dB),
5.44/5.63	                                                                aa(nat,dB),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                dB,
5.44/5.63	                                                                fun(nat,dB),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                fun(dB,
5.44/5.63	                                                                    fun(
5.44/5.63	                                                                    nat,dB)),
5.44/5.63	                                                                app_encode_fun(
5.44/5.63	                                                                dB,
5.44/5.63	                                                                fun(nat,dB)),
5.44/5.63	                                                                aa(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB)),
5.44/5.63	                                                                lift),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                nat,dB,
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                fun(nat,dB),
5.44/5.63	                                                                app_encode_fun(
5.44/5.63	                                                                nat,dB),
5.44/5.63	                                                                aa(nat,dB),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                dB,
5.44/5.63	                                                                fun(nat,dB),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                fun(dB,
5.44/5.63	                                                                    fun(
5.44/5.63	                                                                    nat,dB)),
5.44/5.63	                                                                app_encode_fun(
5.44/5.63	                                                                dB,
5.44/5.63	                                                                fun(nat,dB)),
5.44/5.63	                                                                aa(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB)),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                dB,
5.44/5.63	                                                                fun(dB,
5.44/5.63	                                                                    fun(
5.44/5.63	                                                                    nat,dB)),
5.44/5.63	                                                                app_encode_app(
5.44/5.63	                                                                fun(dB,
5.44/5.63	                                                                    fun(
5.44/5.63	                                                                    dB,
5.44/5.63	                                                                    fun(
5.44/5.63	                                                                    nat,dB))),
5.44/5.63	                                                                app_encode_fun(
5.44/5.63	                                                                dB,
5.44/5.63	                                                                fun(dB,
5.44/5.63	                                                                    fun(
5.44/5.63	                                                                    nat,dB))),
5.44/5.63	                                                                aa(dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   dB,
5.44/5.63	                                                                   fun(
5.44/5.63	                                                                   nat,dB))),
5.44/5.63	                                                                subst),b)),u)),
5.44/5.63	                                                                i))),
5.44/5.63	                                                 zero_zero(nat)))))).
5.44/5.63	tff('9', plain,
5.44/5.63	    ~ app_encode_app(bool, $o, pp, 
5.44/5.63	        app_encode_app(dB, bool, 
5.44/5.63	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.63	            aa(dB, bool), it), 
5.44/5.63	          app_encode_app(nat, dB, 
5.44/5.63	            app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
5.44/5.63	              aa(nat, dB), 
5.44/5.63	              app_encode_app(dB, fun(nat, dB), 
5.44/5.63	                app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.63	                  app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
5.44/5.63	                  lift), 
5.44/5.63	                app_encode_app(nat, dB, 
5.44/5.63	                  app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
5.44/5.63	                    aa(nat, dB), 
5.44/5.63	                    app_encode_app(dB, fun(nat, dB), 
5.44/5.63	                      app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.63	                        app_encode_fun(dB, fun(nat, dB)), 
5.44/5.63	                        aa(dB, fun(nat, dB)), 
5.44/5.63	                        app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.63	                          app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.63	                            app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.63	                            aa(dB, fun(dB, fun(nat, dB))), subst), b)), u)), 
5.44/5.64	                  i))), zero_zero(nat)))),
5.44/5.64	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.44/5.64	tff('10', plain,
5.44/5.64	    ~ app_encode_app(bool, $o, pp, 
5.44/5.64	        app_encode_app(dB, bool, 
5.44/5.64	          app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.64	            aa(dB, bool), it), 
5.44/5.64	          app_encode_app(dB, dB, 
5.44/5.64	            app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.44/5.64	              app_encode_app(nat, fun(dB, dB), 
5.44/5.64	                app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	                  app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), lift), 
5.44/5.64	                zero_zero(nat))), 
5.44/5.64	            app_encode_app(dB, dB, 
5.44/5.64	              app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
5.44/5.64	                aa(dB, dB), 
5.44/5.64	                app_encode_app(nat, fun(dB, dB), 
5.44/5.64	                  app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	                    app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
5.44/5.64	                    app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.64	                      app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                        app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                        combc(dB, dB, fun(nat, dB)), subst), u)), i)), b)))),
5.44/5.64	    inference('demod', [status(thm)], ['9', '5', '5', '5'])).
5.44/5.64	tff('11', plain,
5.44/5.64	    ![X0 : bool]:
5.44/5.64	      (~ app_encode_app(bool, $o, pp, X0)
5.44/5.64	       | X0 = fFalse
5.44/5.64	       | ~ app_encode_app(bool, $o, pp, 
5.44/5.64	             app_encode_app(dB, bool, 
5.44/5.64	               app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.64	                 aa(dB, bool), it), 
5.44/5.64	               app_encode_app(dB, dB, 
5.44/5.64	                 app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), 
5.44/5.64	                   aa(dB, dB), 
5.44/5.64	                   app_encode_app(nat, fun(dB, dB), 
5.44/5.64	                     app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	                       app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
5.44/5.64	                       app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.64	                         app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                           app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                           combc(dB, dB, fun(nat, dB)), subst), u)), i)), b)))),
5.44/5.64	    inference('sup-', [status(thm)], ['8', '10'])).
5.44/5.64	tff(zf_stmt_60, axiom,
5.44/5.64	  (app_encode_app(bool,$o,pp,
5.44/5.64	                  app_encode_app(dB,bool,
5.44/5.64	                                 app_encode_app(fun(dB,bool),
5.44/5.64	                                                app_encode_fun(dB,bool),
5.44/5.64	                                                aa(dB,bool),it),
5.44/5.64	                                 app_encode_app(nat,dB,
5.44/5.64	                                                app_encode_app(fun(nat,dB),
5.44/5.64	                                                               app_encode_fun(
5.44/5.64	                                                               nat,dB),
5.44/5.64	                                                               aa(nat,dB),
5.44/5.64	                                                               app_encode_app(
5.44/5.64	                                                               dB,
5.44/5.64	                                                               fun(nat,dB),
5.44/5.64	                                                               app_encode_app(
5.44/5.64	                                                               fun(dB,
5.44/5.64	                                                                   fun(
5.44/5.64	                                                                   nat,dB)),
5.44/5.64	                                                               app_encode_fun(
5.44/5.64	                                                               dB,fun(nat,dB)),
5.44/5.64	                                                               aa(dB,
5.44/5.64	                                                                  fun(nat,dB)),
5.44/5.64	                                                               app_encode_app(
5.44/5.64	                                                               dB,
5.44/5.64	                                                               fun(dB,
5.44/5.64	                                                                   fun(
5.44/5.64	                                                                   nat,dB)),
5.44/5.64	                                                               app_encode_app(
5.44/5.64	                                                               fun(dB,
5.44/5.64	                                                                   fun(
5.44/5.64	                                                                   dB,
5.44/5.64	                                                                   fun(
5.44/5.64	                                                                   nat,dB))),
5.44/5.64	                                                               app_encode_fun(
5.44/5.64	                                                               dB,
5.44/5.64	                                                               fun(dB,
5.44/5.64	                                                                   fun(
5.44/5.64	                                                                   nat,dB))),
5.44/5.64	                                                               aa(dB,
5.44/5.64	                                                                  fun(
5.44/5.64	                                                                  dB,
5.44/5.64	                                                                  fun(nat,dB))),
5.44/5.64	                                                               subst),b)),u)),
5.44/5.64	                                                i))))).
5.44/5.64	tff('12', plain,
5.44/5.64	    app_encode_app(bool, $o, pp, 
5.44/5.64	      app_encode_app(dB, bool, 
5.44/5.64	        app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.64	          aa(dB, bool), it), 
5.44/5.64	        app_encode_app(nat, dB, 
5.44/5.64	          app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), aa(nat, dB), 
5.44/5.64	            app_encode_app(dB, fun(nat, dB), 
5.44/5.64	              app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	                app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
5.44/5.64	                app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.64	                  app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                    app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                    aa(dB, fun(dB, fun(nat, dB))), subst), b)), u)), i))),
5.44/5.64	    inference('cnf', [status(esa)], [zf_stmt_60])).
5.44/5.64	tff('13', plain,
5.44/5.64	    ![X0 : bool]: (~ app_encode_app(bool, $o, pp, X0) | X0 = fTrue),
5.44/5.64	    inference('sup-', [status(thm)], ['1', '7'])).
5.44/5.64	tff('14', plain,
5.44/5.64	    (~ $true
5.44/5.64	     | app_encode_app(dB, bool, 
5.44/5.64	         app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), 
5.44/5.64	           aa(dB, bool), it), 
5.44/5.64	         app_encode_app(nat, dB, 
5.44/5.64	           app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), 
5.44/5.64	             aa(nat, dB), 
5.44/5.64	             app_encode_app(dB, fun(nat, dB), 
5.44/5.64	               app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	                 app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
5.44/5.64	                 app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.64	                   app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                     app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                     aa(dB, fun(dB, fun(nat, dB))), subst), b)), u)), i))
5.44/5.64	        = fTrue),
5.44/5.64	    inference('sup-', [status(thm)], ['12', '13'])).
5.44/5.64	tff('15', plain,
5.44/5.64	    app_encode_app(dB, bool, 
5.44/5.64	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
5.44/5.64	        it), 
5.44/5.64	      app_encode_app(nat, dB, 
5.44/5.64	        app_encode_app(fun(nat, dB), app_encode_fun(nat, dB), aa(nat, dB), 
5.44/5.64	          app_encode_app(dB, fun(nat, dB), 
5.44/5.64	            app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	              app_encode_fun(dB, fun(nat, dB)), aa(dB, fun(nat, dB)), 
5.44/5.64	              app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.64	                app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                  app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                  aa(dB, fun(dB, fun(nat, dB))), subst), b)), u)), i))
5.44/5.64	     = fTrue,
5.44/5.64	    inference('simplify', [status(thm)], ['14'])).
5.44/5.64	tff('16', plain,
5.44/5.64	    app_encode_app(dB, bool, 
5.44/5.64	      app_encode_app(fun(dB, bool), app_encode_fun(dB, bool), aa(dB, bool), 
5.44/5.64	        it), 
5.44/5.64	      app_encode_app(dB, dB, 
5.44/5.64	        app_encode_app(fun(dB, dB), app_encode_fun(dB, dB), aa(dB, dB), 
5.44/5.64	          app_encode_app(nat, fun(dB, dB), 
5.44/5.64	            app_encode_app(fun(dB, fun(nat, dB)), 
5.44/5.64	              app_encode_fun(nat, fun(dB, dB)), combc(dB, nat, dB), 
5.44/5.64	              app_encode_app(dB, fun(dB, fun(nat, dB)), 
5.44/5.64	                app_encode_app(fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                  app_encode_fun(dB, fun(dB, fun(nat, dB))), 
5.44/5.64	                  combc(dB, dB, fun(nat, dB)), subst), u)), i)), b))
5.44/5.64	     = fTrue,
5.44/5.64	    inference('demod', [status(thm)], ['15', '5', '5'])).
5.44/5.64	tff('17', plain,
5.44/5.64	    ![X0 : bool]:
5.44/5.64	      (~ app_encode_app(bool, $o, pp, X0) | X0 = fFalse | ~ $true),
5.44/5.64	    inference('demod', [status(thm)], ['11', '16', '0'])).
5.44/5.64	tff('18', plain,
5.44/5.64	    ![X0 : bool]: (X0 = fFalse | ~ app_encode_app(bool, $o, pp, X0)),
5.44/5.64	    inference('simplify', [status(thm)], ['17'])).
5.44/5.64	tff('19', plain,
5.44/5.64	    ![X0 : bool]: (app_encode_app(bool, $o, pp, X0) | X0 = fFalse),
5.44/5.64	    inference('sup+', [status(thm)], ['1', '0'])).
5.44/5.64	tff('20', plain, ![X0 : bool]: X0 = fFalse,
5.44/5.64	    inference('clc', [status(thm)], ['18', '19'])).
5.44/5.64	tff('21', plain, app_encode_app(bool, $o, pp, fFalse),
5.44/5.64	    inference('demod', [status(thm)], ['0', '20'])).
5.44/5.64	tff('22', plain, ~ $true, inference('sup-', [status(thm)], ['21', '7'])).
5.44/5.64	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
5.44/5.64	
5.44/5.64	% SZS output end Refutation
5.44/5.64	EOF
