0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n069.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:51:54 CST 2018
0.00/0.29	% done 39 iterations in 0.088s
0.00/0.29	% SZS status Theorem for 'stdin'
0.00/0.29	% SZS output start Refutation
0.00/0.29	tff(zf_stmt_4, conjecture,
0.00/0.29	  (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.29	     T:app_encode_fun(app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.29	                      app_encode_fun(a,app_encode_fun(a,$o)))]:
0.00/0.29	     (((![Xx:a]:
0.00/0.29	          app_encode_app(a,$o,
0.00/0.29	                         app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                        app_encode_app(app_encode_fun(
0.00/0.29	                                                       a,app_encode_fun(a,$o)),
0.00/0.29	                                                       app_encode_fun(
0.00/0.29	                                                       a,app_encode_fun(a,$o)),
0.00/0.29	                                                       T,Xr),
0.00/0.29	                                        Xx),
0.00/0.29	                         Xx)) & 
0.00/0.29	       (![Xx:a,Xy:a,Xz:a]:
0.00/0.29	          ((app_encode_app(a,$o,
0.00/0.29	                           app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                          app_encode_app(app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         T,Xr),
0.00/0.29	                                          Xx),
0.00/0.29	                           Xy) & 
0.00/0.29	            app_encode_app(a,$o,
0.00/0.29	                           app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                          app_encode_app(app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         T,Xr),
0.00/0.29	                                          Xy),
0.00/0.29	                           Xz)) =>
0.00/0.29	           app_encode_app(a,$o,
0.00/0.29	                          app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                         app_encode_app(app_encode_fun(
0.00/0.29	                                                        a,
0.00/0.29	                                                        app_encode_fun(a,$o)),
0.00/0.29	                                                        app_encode_fun(
0.00/0.29	                                                        a,
0.00/0.29	                                                        app_encode_fun(a,$o)),
0.00/0.29	                                                        T,Xr),
0.00/0.29	                                         Xx),
0.00/0.29	                          Xz))) & 
0.00/0.29	       (![Xx:a,Xy:a]:
0.00/0.29	          (app_encode_app(a,$o,app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),
0.00/0.29	                          Xy) =>
0.00/0.29	           app_encode_app(a,$o,
0.00/0.29	                          app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                         app_encode_app(app_encode_fun(
0.00/0.29	                                                        a,
0.00/0.29	                                                        app_encode_fun(a,$o)),
0.00/0.29	                                                        app_encode_fun(
0.00/0.29	                                                        a,
0.00/0.29	                                                        app_encode_fun(a,$o)),
0.00/0.29	                                                        T,Xr),
0.00/0.29	                                         Xx),
0.00/0.29	                          Xy)))) =>
0.00/0.29	      (![Xx:a,Xy:a]:
0.00/0.29	         ((![Xx0:app_encode_fun(a,$o)]:
0.00/0.29	             ((![Xy0:a,Xz:a]:
0.00/0.29	                 ((app_encode_app(a,$o,
0.00/0.29	                                  app_encode_app(a,app_encode_fun(a,$o),Xr,
0.00/0.29	                                                 Xy0),
0.00/0.29	                                  Xz) & 
0.00/0.29	                   app_encode_app(a,$o,Xx0,Xy0)) =>
0.00/0.29	                  app_encode_app(a,$o,Xx0,Xz))) =>
0.00/0.29	              (app_encode_app(a,$o,Xx0,Xx) => app_encode_app(a,$o,Xx0,Xy)))) =>
0.00/0.29	          app_encode_app(a,$o,
0.00/0.29	                         app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                        app_encode_app(app_encode_fun(
0.00/0.29	                                                       a,app_encode_fun(a,$o)),
0.00/0.29	                                                       app_encode_fun(
0.00/0.29	                                                       a,app_encode_fun(a,$o)),
0.00/0.29	                                                       T,Xr),
0.00/0.29	                                        Xx),
0.00/0.29	                         Xy)))))).
0.00/0.29	tff(zf_stmt_0, negated_conjecture,
0.00/0.29	  (~
0.00/0.29	    (![Xr:app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.29	       T:app_encode_fun(app_encode_fun(a,app_encode_fun(a,$o)),
0.00/0.29	                        app_encode_fun(a,app_encode_fun(a,$o)))]:
0.00/0.29	       (((![Xx:a]:
0.00/0.29	            app_encode_app(a,$o,
0.00/0.29	                           app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                          app_encode_app(app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         T,Xr),
0.00/0.29	                                          Xx),
0.00/0.29	                           Xx)) & 
0.00/0.29	         (![Xx:a,Xy:a,Xz:a]:
0.00/0.29	            ((app_encode_app(a,$o,
0.00/0.29	                             app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                            app_encode_app(app_encode_fun(
0.00/0.29	                                                           a,
0.00/0.29	                                                           app_encode_fun(
0.00/0.29	                                                           a,$o)),
0.00/0.29	                                                           app_encode_fun(
0.00/0.29	                                                           a,
0.00/0.29	                                                           app_encode_fun(
0.00/0.29	                                                           a,$o)),T,Xr),
0.00/0.29	                                            Xx),
0.00/0.29	                             Xy) & 
0.00/0.29	              app_encode_app(a,$o,
0.00/0.29	                             app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                            app_encode_app(app_encode_fun(
0.00/0.29	                                                           a,
0.00/0.29	                                                           app_encode_fun(
0.00/0.29	                                                           a,$o)),
0.00/0.29	                                                           app_encode_fun(
0.00/0.29	                                                           a,
0.00/0.29	                                                           app_encode_fun(
0.00/0.29	                                                           a,$o)),T,Xr),
0.00/0.29	                                            Xy),
0.00/0.29	                             Xz)) =>
0.00/0.29	             app_encode_app(a,$o,
0.00/0.29	                            app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                           app_encode_app(app_encode_fun(
0.00/0.29	                                                          a,
0.00/0.29	                                                          app_encode_fun(
0.00/0.29	                                                          a,$o)),
0.00/0.29	                                                          app_encode_fun(
0.00/0.29	                                                          a,
0.00/0.29	                                                          app_encode_fun(
0.00/0.29	                                                          a,$o)),T,Xr),
0.00/0.29	                                           Xx),
0.00/0.29	                            Xz))) & 
0.00/0.29	         (![Xx:a,Xy:a]:
0.00/0.29	            (app_encode_app(a,$o,
0.00/0.29	                            app_encode_app(a,app_encode_fun(a,$o),Xr,Xx),Xy) =>
0.00/0.29	             app_encode_app(a,$o,
0.00/0.29	                            app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                           app_encode_app(app_encode_fun(
0.00/0.29	                                                          a,
0.00/0.29	                                                          app_encode_fun(
0.00/0.29	                                                          a,$o)),
0.00/0.29	                                                          app_encode_fun(
0.00/0.29	                                                          a,
0.00/0.29	                                                          app_encode_fun(
0.00/0.29	                                                          a,$o)),T,Xr),
0.00/0.29	                                           Xx),
0.00/0.29	                            Xy)))) =>
0.00/0.29	        (![Xx:a,Xy:a]:
0.00/0.29	           ((![Xx0:app_encode_fun(a,$o)]:
0.00/0.29	               ((![Xy0:a,Xz:a]:
0.00/0.29	                   ((app_encode_app(a,$o,
0.00/0.29	                                    app_encode_app(a,app_encode_fun(a,$o),Xr,
0.00/0.29	                                                   Xy0),
0.00/0.29	                                    Xz) & 
0.00/0.29	                     app_encode_app(a,$o,Xx0,Xy0)) =>
0.00/0.29	                    app_encode_app(a,$o,Xx0,Xz))) =>
0.00/0.29	                (app_encode_app(a,$o,Xx0,Xx) => app_encode_app(a,$o,Xx0,Xy)))) =>
0.00/0.29	            app_encode_app(a,$o,
0.00/0.29	                           app_encode_app(a,app_encode_fun(a,$o),
0.00/0.29	                                          app_encode_app(app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         app_encode_fun(
0.00/0.29	                                                         a,
0.00/0.29	                                                         app_encode_fun(a,$o)),
0.00/0.29	                                                         T,Xr),
0.00/0.29	                                          Xx),
0.00/0.29	                           Xy))))))).
0.00/0.29	tff('0', plain,
0.00/0.29	    ![X10 : app_encode_fun(a, $o)]:
0.00/0.29	      (~ app_encode_app(a, $o, X10, sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, X10, sk_Xy)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), sk_Xr, sk_Xy0(X10)), 
0.00/0.29	           sk_Xz(X10))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('1', plain,
0.00/0.29	    ![X8 : a, X9 : a]:
0.00/0.29	      (app_encode_app(a, $o, 
0.00/0.29	         app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	           app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	             app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X8), X9)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, X8), X9)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('2', plain,
0.00/0.29	    ![X10 : app_encode_fun(a, $o)]:
0.00/0.29	      (~ app_encode_app(a, $o, X10, sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, X10, sk_Xy)
0.00/0.29	       | app_encode_app(a, $o, X10, sk_Xy0(X10))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('3', plain,
0.00/0.29	    ![X5 : a, X6 : a, X7 : a]:
0.00/0.29	      (~ app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X5), 
0.00/0.29	           X6)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X6), 
0.00/0.29	             X7)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X5), 
0.00/0.29	           X7)),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('4', plain,
0.00/0.29	    ![X0 : a, X1 : a]:
0.00/0.29	      (~ $true
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           X1)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), 
0.00/0.29	               sk_Xy0(
0.00/0.29	                 app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	                   app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                     app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), 
0.00/0.29	                   X0))), X1)),
0.00/0.29	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.29	tff('5', plain,
0.00/0.29	    ![X0 : a, X1 : a]:
0.00/0.29	      (~ app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), 
0.00/0.29	             sk_Xy0(
0.00/0.29	               app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	                 app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                   app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), 
0.00/0.29	                 X0))), X1)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           X1)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           sk_Xy)),
0.00/0.29	    inference('simplify', [status(thm)], ['4'])).
0.00/0.29	tff('6', plain,
0.00/0.29	    ![X0 : a, X1 : a]:
0.00/0.29	      (~ $true
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, 
0.00/0.29	               sk_Xy0(
0.00/0.29	                 app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	                   app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                     app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), 
0.00/0.29	                   X1))), X0)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X1), 
0.00/0.29	           sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X1), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X1), 
0.00/0.29	           X0)),
0.00/0.29	    inference('sup-', [status(thm)], ['1', '5'])).
0.00/0.29	tff('7', plain,
0.00/0.29	    ![X0 : a, X1 : a]:
0.00/0.29	      (app_encode_app(a, $o, 
0.00/0.29	         app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	           app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	             app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X1), X0)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X1), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X1), 
0.00/0.29	           sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), sk_Xr, 
0.00/0.29	               sk_Xy0(
0.00/0.29	                 app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	                   app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                     app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), 
0.00/0.29	                   X1))), X0)),
0.00/0.29	    inference('simplify', [status(thm)], ['6'])).
0.00/0.29	tff('8', plain,
0.00/0.29	    ![X0 : a]:
0.00/0.29	      (~ $true
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           sk_Xz(
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0)))),
0.00/0.29	    inference('sup-', [status(thm)], ['0', '7'])).
0.00/0.29	tff('9', plain,
0.00/0.29	    ![X0 : a]:
0.00/0.29	      (app_encode_app(a, $o, 
0.00/0.29	         app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	           app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	             app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	         sk_Xz(
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0)))
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	             sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	           sk_Xy)),
0.00/0.29	    inference('simplify', [status(thm)], ['8'])).
0.00/0.29	tff('10', plain,
0.00/0.29	    ![X10 : app_encode_fun(a, $o)]:
0.00/0.29	      (~ app_encode_app(a, $o, X10, sk_Xx)
0.00/0.29	       | app_encode_app(a, $o, X10, sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, X10, sk_Xz(X10))),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('11', plain,
0.00/0.29	    ![X0 : a]:
0.00/0.29	      (app_encode_app(a, $o, 
0.00/0.29	         app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	           app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	             app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	         sk_Xy)
0.00/0.29	       | ~ app_encode_app(a, $o, 
0.00/0.29	             app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	               app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	                 app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X0), 
0.00/0.29	             sk_Xx)),
0.00/0.29	    inference('clc', [status(thm)], ['9', '10'])).
0.00/0.29	tff('12', plain,
0.00/0.29	    ~ app_encode_app(a, $o, 
0.00/0.29	        app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	          app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	            app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), sk_Xx), 
0.00/0.29	        sk_Xy),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('13', plain,
0.00/0.29	    (~ $true
0.00/0.29	     | ~ app_encode_app(a, $o, 
0.00/0.29	           app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	             app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	               app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), sk_Xx), 
0.00/0.29	           sk_Xx)),
0.00/0.29	    inference('sup-', [status(thm)], ['11', '12'])).
0.00/0.29	tff('14', plain,
0.00/0.29	    ![X4 : a]:
0.00/0.29	      app_encode_app(a, $o, 
0.00/0.29	        app_encode_app(a, app_encode_fun(a, $o), 
0.00/0.29	          app_encode_app(app_encode_fun(a, app_encode_fun(a, $o)), 
0.00/0.29	            app_encode_fun(a, app_encode_fun(a, $o)), sk_T, sk_Xr), X4), X4),
0.00/0.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.29	tff('15', plain, (~ $true | ~ $true),
0.00/0.29	    inference('demod', [status(thm)], ['13', '14'])).
0.00/0.29	tff('16', plain, $false, inference('simplify', [status(thm)], ['15'])).
0.00/0.29	
0.00/0.29	% SZS output end Refutation
0.00/0.29	EOF
