0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
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 $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n074.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:36:54 CST 2018
0.00/0.24	% done 57 iterations in 0.037s
0.00/0.24	% SZS status Theorem for 'stdin'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(zf_stmt_4, conjecture,
0.00/0.24	  (![Xp:app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.24	     Xq:app_encode_fun(a,app_encode_fun(b,app_encode_fun(b,$o))),
0.00/0.24	     Xf:app_encode_fun(a,b),Xg:app_encode_fun(a,b)]:
0.00/0.24	     ((![Xx:a]:
0.00/0.24	         (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xx) =>
0.00/0.24	          app_encode_app(b,$o,
0.00/0.24	                         app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                        app_encode_app(a,
0.00/0.24	                                                       app_encode_fun(
0.00/0.24	                                                       b,app_encode_fun(b,$o)),
0.00/0.24	                                                       Xq,Xx),
0.00/0.24	                                        app_encode_app(a,b,Xf,Xx)),
0.00/0.24	                         app_encode_app(a,b,Xg,Xx)))) =>
0.00/0.24	      ((![Xx:a,Xy:a]:
0.00/0.24	          (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.24	                          Xy) =>
0.00/0.24	           app_encode_app(b,$o,
0.00/0.24	                          app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                         app_encode_app(a,
0.00/0.24	                                                        app_encode_fun(
0.00/0.24	                                                        b,
0.00/0.24	                                                        app_encode_fun(b,$o)),
0.00/0.24	                                                        Xq,Xx),
0.00/0.24	                                         app_encode_app(a,b,Xf,Xx)),
0.00/0.24	                          app_encode_app(a,b,Xf,Xy)))) =>
0.00/0.24	       (((![Xx:a,Xy:a]:
0.00/0.24	            (app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	             app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),Xx))) & 
0.00/0.24	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.24	            ((app_encode_app(a,$o,
0.00/0.24	                             app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) & 
0.00/0.24	              app_encode_app(a,$o,
0.00/0.24	                             app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),Xz)) =>
0.00/0.24	             app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xz))) & 
0.00/0.24	         (Xp = Xp)) =>
0.00/0.24	        ((![Xx:a,Xy:a]:
0.00/0.24	            (app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	             ((![Xx0:b,Xy0:b]:
0.00/0.24	                 (app_encode_app(b,$o,
0.00/0.24	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                app_encode_app(a,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,$o)),Xq,Xx),
0.00/0.24	                                                Xx0),
0.00/0.24	                                 Xy0) =>
0.00/0.24	                  app_encode_app(b,$o,
0.00/0.24	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                app_encode_app(a,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,$o)),Xq,Xx),
0.00/0.24	                                                Xy0),
0.00/0.24	                                 Xx0))) & 
0.00/0.24	              (![Xx0:b,Xy0:b,Xz:b]:
0.00/0.24	                 ((app_encode_app(b,$o,
0.00/0.24	                                  app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                 app_encode_app(a,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,$o)),Xq,Xx),
0.00/0.24	                                                 Xx0),
0.00/0.24	                                  Xy0) & 
0.00/0.24	                   app_encode_app(b,$o,
0.00/0.24	                                  app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                 app_encode_app(a,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,
0.00/0.24	                                                                app_encode_fun(
0.00/0.24	                                                                b,$o)),Xq,Xx),
0.00/0.24	                                                 Xy0),
0.00/0.24	                                  Xz)) =>
0.00/0.24	                  app_encode_app(b,$o,
0.00/0.24	                                 app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                app_encode_app(a,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,
0.00/0.24	                                                               app_encode_fun(
0.00/0.24	                                                               b,$o)),Xq,Xx),
0.00/0.24	                                                Xx0),
0.00/0.24	                                 Xz))) & 
0.00/0.24	              (app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),Xq,Xx) =
0.00/0.24	               app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),Xq,Xy))))) =>
0.00/0.24	         (![Xx:a,Xy:a]:
0.00/0.24	            (app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	             app_encode_app(b,$o,
0.00/0.24	                            app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                           app_encode_app(a,
0.00/0.24	                                                          app_encode_fun(
0.00/0.24	                                                          b,
0.00/0.24	                                                          app_encode_fun(
0.00/0.24	                                                          b,$o)),Xq,Xx),
0.00/0.24	                                           app_encode_app(a,b,Xf,Xx)),
0.00/0.24	                            app_encode_app(a,b,Xg,Xy)))))))))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  (~
0.00/0.24	    (![Xp:app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.24	       Xq:app_encode_fun(a,app_encode_fun(b,app_encode_fun(b,$o))),
0.00/0.24	       Xf:app_encode_fun(a,b),Xg:app_encode_fun(a,b)]:
0.00/0.24	       ((![Xx:a]:
0.00/0.24	           (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.24	                           Xx) =>
0.00/0.24	            app_encode_app(b,$o,
0.00/0.24	                           app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                          app_encode_app(a,
0.00/0.24	                                                         app_encode_fun(
0.00/0.24	                                                         b,
0.00/0.24	                                                         app_encode_fun(b,$o)),
0.00/0.24	                                                         Xq,Xx),
0.00/0.24	                                          app_encode_app(a,b,Xf,Xx)),
0.00/0.24	                           app_encode_app(a,b,Xg,Xx)))) =>
0.00/0.24	        ((![Xx:a,Xy:a]:
0.00/0.24	            (app_encode_app(a,$o,
0.00/0.24	                            app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	             app_encode_app(b,$o,
0.00/0.24	                            app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                           app_encode_app(a,
0.00/0.24	                                                          app_encode_fun(
0.00/0.24	                                                          b,
0.00/0.24	                                                          app_encode_fun(
0.00/0.24	                                                          b,$o)),Xq,Xx),
0.00/0.24	                                           app_encode_app(a,b,Xf,Xx)),
0.00/0.24	                            app_encode_app(a,b,Xf,Xy)))) =>
0.00/0.24	         (((![Xx:a,Xy:a]:
0.00/0.24	              (app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	               app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),Xx))) & 
0.00/0.24	           (![Xx:a,Xy:a,Xz:a]:
0.00/0.24	              ((app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),
0.00/0.24	                               Xy) & 
0.00/0.24	                app_encode_app(a,$o,
0.00/0.24	                               app_encode_app(a,app_encode_fun(a,$o),Xp,Xy),
0.00/0.24	                               Xz)) =>
0.00/0.24	               app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xz))) & 
0.00/0.24	           (Xp = Xp)) =>
0.00/0.24	          ((![Xx:a,Xy:a]:
0.00/0.24	              (app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	               ((![Xx0:b,Xy0:b]:
0.00/0.24	                   (app_encode_app(b,$o,
0.00/0.24	                                   app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                  app_encode_app(a,
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 b,
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 b,$o)),Xq,Xx),
0.00/0.24	                                                  Xx0),
0.00/0.24	                                   Xy0) =>
0.00/0.24	                    app_encode_app(b,$o,
0.00/0.24	                                   app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                  app_encode_app(a,
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 b,
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 b,$o)),Xq,Xx),
0.00/0.24	                                                  Xy0),
0.00/0.24	                                   Xx0))) & 
0.00/0.24	                (![Xx0:b,Xy0:b,Xz:b]:
0.00/0.24	                   ((app_encode_app(b,$o,
0.00/0.24	                                    app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                   app_encode_app(a,
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  b,
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  b,$o)),Xq,
0.00/0.24	                                                                  Xx),
0.00/0.24	                                                   Xx0),
0.00/0.24	                                    Xy0) & 
0.00/0.24	                     app_encode_app(b,$o,
0.00/0.24	                                    app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                   app_encode_app(a,
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  b,
0.00/0.24	                                                                  app_encode_fun(
0.00/0.24	                                                                  b,$o)),Xq,
0.00/0.24	                                                                  Xx),
0.00/0.24	                                                   Xy0),
0.00/0.24	                                    Xz)) =>
0.00/0.24	                    app_encode_app(b,$o,
0.00/0.24	                                   app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                                  app_encode_app(a,
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 b,
0.00/0.24	                                                                 app_encode_fun(
0.00/0.24	                                                                 b,$o)),Xq,Xx),
0.00/0.24	                                                  Xx0),
0.00/0.24	                                   Xz))) & 
0.00/0.24	                (app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),Xq,
0.00/0.24	                                Xx) =
0.00/0.24	                 app_encode_app(a,app_encode_fun(b,app_encode_fun(b,$o)),Xq,
0.00/0.24	                                Xy))))) =>
0.00/0.24	           (![Xx:a,Xy:a]:
0.00/0.24	              (app_encode_app(a,$o,
0.00/0.24	                              app_encode_app(a,app_encode_fun(a,$o),Xp,Xx),Xy) =>
0.00/0.24	               app_encode_app(b,$o,
0.00/0.24	                              app_encode_app(b,app_encode_fun(b,$o),
0.00/0.24	                                             app_encode_app(a,
0.00/0.24	                                                            app_encode_fun(
0.00/0.24	                                                            b,
0.00/0.24	                                                            app_encode_fun(
0.00/0.24	                                                            b,$o)),Xq,Xx),
0.00/0.24	                                             app_encode_app(a,b,Xf,Xx)),
0.00/0.24	                              app_encode_app(a,b,Xg,Xy))))))))))).
0.00/0.24	tff('0', plain,
0.00/0.24	    app_encode_app(a, $o, 
0.00/0.24	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain,
0.00/0.24	    ![X1 : a, X2 : a]:
0.00/0.24	      (app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X1), X2)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X2), X1)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.24	tff('3', plain,
0.00/0.24	    app_encode_app(a, $o, 
0.00/0.24	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), sk_Xx),
0.00/0.24	    inference('simplify', [status(thm)], ['2'])).
0.00/0.24	tff('4', plain,
0.00/0.24	    ![X3 : a, X4 : a, X5 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X3), X4)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X4), X5)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X3), X5)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('5', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.24	tff('6', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['5'])).
0.00/0.24	tff('7', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, $o, 
0.00/0.24	         app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xx)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '6'])).
0.00/0.24	tff('8', plain,
0.00/0.24	    app_encode_app(a, $o, 
0.00/0.24	      app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xx),
0.00/0.24	    inference('simplify', [status(thm)], ['7'])).
0.00/0.24	tff('9', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.24	tff('10', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.24	       | app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xy), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['9'])).
0.00/0.24	tff('11', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, X0), app_encode_app(a, b, sk_Xf, X0)), 
0.00/0.24	         app_encode_app(a, b, sk_Xg, X0))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X0), X0)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('12', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ app_encode_app(a, $o, 
0.00/0.24	           app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), sk_Xy)
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xy), app_encode_app(a, b, sk_Xf, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xg, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '11'])).
0.00/0.24	tff('13', plain,
0.00/0.24	    ![X6 : a, X9 : a]:
0.00/0.24	      (app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, X6)
0.00/0.24	        = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	            X9)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X6), X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('14', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	         sk_Xx)
0.00/0.24	        = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	            sk_Xy)),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '13'])).
0.00/0.24	tff('15', plain,
0.00/0.24	    app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, sk_Xx)
0.00/0.24	     = app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	         sk_Xy),
0.00/0.24	    inference('simplify', [status(thm)], ['14'])).
0.00/0.24	tff('16', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | ~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xg, sk_Xy))),
0.00/0.24	    inference('demod', [status(thm)], ['12', '0', '15'])).
0.00/0.24	tff('17', plain,
0.00/0.24	    app_encode_app(b, $o, 
0.00/0.24	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	          sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xy)), 
0.00/0.24	      app_encode_app(a, b, sk_Xg, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['16'])).
0.00/0.24	tff('18', plain,
0.00/0.24	    ![X6 : a, X7 : b, X8 : b, X9 : a]:
0.00/0.24	      (~ app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	               sk_Xq, X6), X7), X8)
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	               sk_Xq, X6), X8), X7)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X6), X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('19', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	               sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	           app_encode_app(a, b, sk_Xf, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.24	tff('20', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, sk_Xy))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['19'])).
0.00/0.24	tff('21', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '20'])).
0.00/0.24	tff('22', plain,
0.00/0.24	    app_encode_app(b, $o, 
0.00/0.24	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	          sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	      app_encode_app(a, b, sk_Xf, sk_Xy)),
0.00/0.24	    inference('simplify', [status(thm)], ['21'])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X13 : a, X14 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, X13), app_encode_app(a, b, sk_Xf, X13)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, X14))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X13), X14)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('24', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xy), app_encode_app(a, b, sk_Xf, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, sk_Xx))),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, sk_Xx))),
0.00/0.24	    inference('demod', [status(thm)], ['24', '15'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    app_encode_app(b, $o, 
0.00/0.24	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	          sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xy)), 
0.00/0.24	      app_encode_app(a, b, sk_Xf, sk_Xx)),
0.00/0.24	    inference('simplify', [status(thm)], ['25'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X6 : a, X9 : a, X10 : b, X11 : b, X12 : b]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, X6), X10), X11)
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 sk_Xq, X6), X12), X11)
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 sk_Xq, X6), X10), X12)
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, X6), X9)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X0 : a, X1 : b]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 sk_Xq, sk_Xx), X1), app_encode_app(a, b, sk_Xf, sk_Xy))
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	               sk_Xq, sk_Xx), X1), app_encode_app(a, b, sk_Xf, sk_Xx))),
0.00/0.24	    inference('sup-', [status(thm)], ['26', '27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    ![X0 : a, X1 : b]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), X1), app_encode_app(a, b, sk_Xf, sk_Xx))
0.00/0.24	       | ~ app_encode_app(b, $o, 
0.00/0.24	             app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	               app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	                 sk_Xq, sk_Xx), X1), app_encode_app(a, b, sk_Xf, sk_Xy))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	               sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	           app_encode_app(a, b, sk_Xf, sk_Xx))),
0.00/0.24	    inference('sup-', [status(thm)], ['22', '29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, sk_Xx))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    (~ $true
0.00/0.24	     | app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	         app_encode_app(a, b, sk_Xf, sk_Xx))),
0.00/0.24	    inference('sup-', [status(thm)], ['0', '31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    app_encode_app(b, $o, 
0.00/0.24	      app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	        app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	          sk_Xx), app_encode_app(a, b, sk_Xg, sk_Xy)), 
0.00/0.24	      app_encode_app(a, b, sk_Xf, sk_Xx)),
0.00/0.24	    inference('simplify', [status(thm)], ['32'])).
0.00/0.24	tff('34', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)
0.00/0.24	       | app_encode_app(b, $o, 
0.00/0.24	           app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	             app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	               sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xx)), 
0.00/0.24	           app_encode_app(a, b, sk_Xg, sk_Xy))),
0.00/0.24	    inference('sup-', [status(thm)], ['33', '18'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      (app_encode_app(b, $o, 
0.00/0.24	         app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	           app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), 
0.00/0.24	             sk_Xq, sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xx)), 
0.00/0.24	         app_encode_app(a, b, sk_Xg, sk_Xy))
0.00/0.24	       | ~ app_encode_app(a, $o, 
0.00/0.24	             app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ~ app_encode_app(b, $o, 
0.00/0.24	        app_encode_app(b, app_encode_fun(b, $o), 
0.00/0.24	          app_encode_app(a, app_encode_fun(b, app_encode_fun(b, $o)), sk_Xq, 
0.00/0.24	            sk_Xx), app_encode_app(a, b, sk_Xf, sk_Xx)), 
0.00/0.24	        app_encode_app(a, b, sk_Xg, sk_Xy)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X0 : a]:
0.00/0.24	      ~ app_encode_app(a, $o, 
0.00/0.24	          app_encode_app(a, app_encode_fun(a, $o), sk_Xp, sk_Xx), X0),
0.00/0.24	    inference('clc', [status(thm)], ['35', '36'])).
0.00/0.24	tff('38', plain, ~ $true, inference('sup-', [status(thm)], ['8', '37'])).
0.00/0.24	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
